Page No 74: Question 1: Answer the following questions. (i) Why are people considered a resource? (ii) What are the causes for the uneven distribution of population in the world? (iii) The world population has grown very rapidly. Why? (iv) Discuss the role of any two factors influencing population change. (v) What is meant by …
NCERT Solutions for Class 8 Social Science chapter 6 Human Resources Read More »
Page No 63: Question 1: Answer the following questions. (i) What is meant by the term ‘industry’? (ii) What are the main factors which influence the location of an industry? (iii) Which industry is often referred to as the backbone of modern industry and why? (iv) Why cotton textile industry rapidly expanded in Mumbai? (v) …
NCERT Solutions for Class 8 Social Science chapter 5 Industries Read More »
Page No 48: Question 1: Answer the following questions. (i) What is agriculture? (ii) Name the factors influencing agriculture. (iii) What is shifting cultivation? What are its disadvantages? (iv) What is plantation agriculture? (v) Name the fibre crops and name the climatic conditions required for their growth. Answer: (i) The word agriculture is derived from the …
NCERT Solutions for Class 8 Social Science chapter 4 Agriculture Read More »
Page No 37: Question 1: Answer the following questions. (i) Name any three common minerals used by you everyday. (ii) What is an ore? Where are the ores of metallic minerals generally located? (iii) Name two regions rich in natural gas resources. (iv) Which sources of energy would you suggest for (a) Rural areas (b) …
NCERT Solutions for Class 8 Social Science chapter 3 Mineral and Power Resources Read More »
Page No 22: Question 1: Answer the following questions. (i) Which are the two main climatic factors responsible for soil formation? (ii) Write any two reasons for land degradation today. (iii) Why is land considered an important resource? (iv) Name any two steps that government has taken to conserve plants and animals. (v) Suggest three …
Page No 6: Question 1: Answer the following questions. (i) Why are resources distributed unequally over the Earth? (ii) What is resource conservation? (iii) Why are human resources important? (iv) What is sustainable development? Answer: (i) The distribution of resources depends upon a number of physical factors like terrain, climate and altitude. Since these factors differ …
NCERT Solutions for Class 8 Social Science chapter 1 Resources Read More »
Page No 131: Question 1: Talk to two workers (For example, construction workers, farm workers, factory workers, workers at any shop) to find out if they are receiving the minimum wages laid down by law. Answer: Attempt this question on your own. Question 2: What are the advantages to foreign companies in setting up production …
NCERT Solutions for Class 8 Social Science chapter 10 Law and Social Justice Read More »
Page No 118: Question 1: Why do you think there are so few cases of private water supply in the world? Answer: There are very few cases of private water supply in the world because water is an essential amenity; water supply is a public facility that every government must provide to all citizens of …
NCERT Solutions for Class 8 Social Science chapter 9 Public Facilities Read More »
Page No 103: Question 1: List two Fundamental Rights in the Constitution that Dalits can draw upon to insist that they be treated with dignity and as equals. Re-read the Fundamental Rights listed on page 14 to help you answer this question. Answer: Two Fundamental Rights that Dalits can draw upon to insist that they …
NCERT Solutions for Class 8 Social Science chapter 8 Confronting Marginalization Read More »
Page No 92: Question 1: Write in your own words two or more sentences of what you understand by the word ‘marginalisation’. Answer: “Marginalisation” comes from the word “margin” meaning at the outskirts or periphery. When applied to a specific community or tribe, it implies that a particular class, caste or tribe is excluded from …
NCERT Solutions for Class 8 Social Science chapter 7 Understanding Marginalization Read More »
Page No 76: Question 1: In a town called Peace Land, the supporters of the Fiesta football team learn that the supporters of the Jubilee football team in the nearby city about 40 km away have damaged the ground on which the Final between both teams is to be held the following day. A crowd …
Page No 64: Question 1: You read that one of the main functions of the judiciary is ‘upholding the law and Enforcing Fundamental Rights’. Why do you think an independent judiciary is necessary to carry out this important function? Answer: It is necessary to have an independent judiciary to carry out the basic function of …
NCERT Solutions for Class 8 Social Science chapter 5 Judiciary Read More »
Page No 51: Question 1: Write in your own words what you understand by the term the ‘rule of law’. In your response include a fictitious or real example of a violation of the rule of law. Answer: The “rule of law” implies that everyone, regardless of any discrimination, is equal before the law. In …
NCERT Solutions for Class 8 Social Science chapter 4 Understanding Laws Read More »
Page No 41: Question 1: Why do you think our national movement supported the idea that all adults have a right to vote? Answer: Our national movement supported the idea that all adults have a right to vote because in our struggle for independence people from all walks of life participated. They came from various …
NCERT Solutions for Class 8 Social Science chapter 3 Why Do We Need a Parliament Read More »
Page No 26: Question 1: List the different types of religious practice that you find in your neighborhood. This could be different forms of prayer, worship of different gods, sacred sites, different kinds of religious music and singing etc. Does this indicate freedom of religious practice? Answer: The different types of religious practices found in …
NCERT Solutions for Class 8 Social Science chapter 2 Understanding Secularism Read More »
Page No 16: Question 1: Why does a democratic country need a Constitution? Answer: The basic principle that a democratic country abides by is freedom. However, granting it in absolute terms may lead to unjust misuse of this fundamental right. Hence, a set of rules for the same is necessary. The Constitution of a country …
NCERT Solutions for Class 8 Social Science chapter 1 The Indian Constitution Read More »
Page No 172: Question 1: Name three problems that the newly independent nation of India faced. Answer: Three problems that the newly independent nation of India faced: (i) As a result of Partition, 8 million refugees had come into the country from what was now Pakistan. These people had to be found homes and jobs. …
NCERT Solutions for Class 8 Social Science chapter 6 India After Independence Read More »
Page No 159: Question 5: Who were the Moderates? How did they propose to struggle against British rule? Answer: In the first twenty years of its existence, the Congress was “moderate” in its objectives and methods. Its Moderate leaders practised what was called by the Radicals as the “politics of petitions”. They would raise various …
Page No 139: Question 1: Fill in the blanks: (a) The art form which observed carefully and tried to capture exactly what the eye saw is called ___________. (b) The style of painting which showed Indian landscape as a quaint, unexplored land is called __________. (c) Paintings which showed the social lives of Europeans in …
NCERT Solutions for Class 8 Social Science chapter 4 The Changing World of Visual Arts Read More »
Page No 121: Question 1: What social ideas did the following people support? Rammohun Roy Dayanand Saraswati Veerasalingam Pantulu Jyotirao Phule Pandita Ramabai Periyar Mumtaz Ali Ishwarchandra Vidyasagar Answer: Rammohun Roy Spread of Western education Reforming Hinduism Greater freedom and equality for women Upliftment of widows Campaigned against the practise of sati Critical of caste …
NCERT Solutions for Class 8 Social Science chapter 3 Women , Caste and Reform Read More »
Page No 106: Question 1: Match the following: William Jones promotion of English education Rabindranath Tagore respect for ancient cultures Thomas Macaulay gurus Mahatma Gandhi learning in a natural environment Pathshalas critical of English education Answer: William Jones respect for ancient cultures Rabindranath Tagore learning in a natural environment Thomas Macaulay promotion of English education …
Page No 93: Question 1: What kinds of cloth had a large market in Europe? Answer: Cotton and silk textiles had a huge market in Europe. Indian textiles were by far the most popular, both for their fine quality and exquisite craftsmanship. Different varieties of Indian textiles were sold in the Western markets; for example, …
Page No 76: Question 1: State whether true or false: (a) In the Western world, modern cities grew with industrialisation. (b) Surat and Machlipatnam developed in the nineteenth century. (c) In the twentieth century, the majority of Indians lived in cities. (d) After 1857 no worship was allowed in the Jama Masjid for five years. …
NCERT Solutions for Class 8 Social Science chapter 6 Colonialism and the City Read More »
Question 1: What was the demand of Rani Lakshmibai of Jhansi that was refused by the British? Answer: Rani Lakshmibai of Jhansi wanted the East India Company to recognise her adopted son as the heir to the kingdom after the death of her husband. This demand was refused by the British. Ultimately, the Company annexed …
NCERT Solutions for Class 8 Social Science chapter 5 When People Rebel Read More »
Question 1: Fill in the blanks: (a) The British described the tribal people as __________. (b) The method of sowing seeds in jhum cultivation is known as ___________. (c) The tribal chiefs got _________ titles in central India under the British land settlements. (d) Tribals went to work in the ___________ of Assam and the __________ in …
Page No 37: Question 1: Match the following: ryot village mahal peasant nij cultivation on ryot’s lands ryoti cultivation on planter’s own land Answer: ryot peasant mahal village nij cultivation on planter’s own land ryoti cultivation on ryot’s lands Page No 38: Question 3: Describe the main features of the Permanent Settlement. Answer: In order to get a stable …
NCERT Solutions for Class 8 Social Science chapter 3 Ruling the Countryside Read More »
Page No 24: Question 1: Match the following: Diwani Tipu Sultan “Tiger of Mysore” right to collect land revenue faujdari adalat Sepoy Rani Channamma criminal court sipahi led an anti-British movement in Kitoor Answer: Diwani right to collect land revenue “Tiger of Mysore” Tipu Sultan faujdari adalat criminal court Rani Channamma led an anti-British movement …
NCERT Solutions for Class 8 Social Science chapter 2 From Trade to Territory Read More »
Page No 8: Question 2: What is the problem with the periodisation of the Indian history that James Mill offers? Answer: In his massive three-volume work, A History of British India, James Mill divides Indian history into three periods − Hindu, Muslim and British. According to his prejudiced version of Indian history, the British rule represents …
NCERT Solutions for Class 8 Social Science chapter 1 How , when and Where Read More »
Page No 113: Question 1: (क) सलमा का पहला कदम बीमारी में ही क्यों बढ़ा था? (ख) सलमा अपनी अम्माँ से क्या कहती थी जिससे उसकी अम्माँ उसे मार देती थी? (ग) सलमा ने ऐसा क्यों कहा कि मैं तो अब जीना चाहती हूँ? Answer: (क) भोपाल गैस कांड के बाद गैस से सलमा के …
NCERT Solutions for Class 8 chapter 17 वह सुबह कभी तो आएगी (निबंध) Hindi Read More »
Page No 107: Question 1: (क) लोककथा में गोमा बिना खेत जोते अपने बैलों को हाँहकर घर की ओर क्यों चल पड़ा? (ख) गोमा को पेड़ के नीचे बैठा देखकर बूढ़ी अम्मा ने उससे क्या कहा? (ग) गोमा ने अपने खेतों को क्यों जोता? Answer: (क) वर्षा ने होने के कारण सूखा पड़ा था। उसने …
NCERT Solutions for Class 8 chapter 16 बूढ़ी अम्मा की बात (लोककथा) Hindi Read More »
Page No 102: Question 1: (क) कविता में फ़र्श पर कौन-कौन और क्या-क्या करते हैं? (ख) फ़र्श पर सभी के द्वारा कुछ न कुछ काम करने की बात कविता में हुई है, मगर महरी के काम को ही कविता लिखना क्यों कहा गया है? Answer: (क) फ़र्श पर चिड़िया तिनके बिखेर देती है। हवा धूल …
NCERT Solutions for Class 8 chapter 15 फ़र्श पर (कविता) Hindi Read More »
Page No 98: Question 1: (क) गुड़ियों का संग्रह करने में केशव शंकर पिल्लै को कौन-कौन सी कठिनाइयों का सामना करना पड़ा? (ख) वे बाल चित्रकला प्रतियोगति क्यों करना चाहते थे? (ग) केशव शंकर पिल्लै ने बच्चों के लिए विश्वभर की चुनी हुई गुड़ियों का संग्रह क्यों किया? (घ) केशव शंकर पिल्लै हर वर्ष छुट्टियों …
Page No 90: Question 1: (क) आंध्र के घने जंगलों में रहने वाले आदिवासियों के बीच अपना हक जमाने के लिए अंग्रेज़ों ने क्या किया? (ख) श्री राम राजू कौन था? उसने अंग्रेज़ों के सामने आत्मसमर्पण क्यों किया? (ग) अंग्रेज़ों से लड़ने के लिए कोया आदिवासी क्या-क्या करते थे? कोया आदिवासियों के विद्रोह को स्वतंत्रता …
NCERT Solutions for Class 8 chapter 13 अन्याय के खिलाफ (कहानी) Hindi Read More »
Page No 83: Question 1: (क) किसान को बादलों का इंतज़ार क्यों रहता है? (ख) कवि को वर्षा होने पर किसान की याद क्यों आती है? (ग) कवि ने किसान की तुलना चातक पक्षी से क्यों की है? Answer: (क) किसान को बादलों का इतंजार इसलिए रहता है क्योंकि इससे वह अपने खेत सींच सकता …
NCERT Solutions for Class 8 chapter 12 आषाढ़ का पहला दिन (कविता) Hindi Read More »
Page No 78: Question 1: (क) मारिया को किस कार्य के लिए सम्मानित किया गया? (ख) मारिया ने अनेक भाषाओं का अध्ययन क्यों किया? (ग) मारिया बुडापेस्ट में कौन-सी भारतीय पोशाक पहनना पसंद करती हैं और क्यों? Answer: (क) हिन्दी में किए गए उनके कार्य के लिए उन्हें सम्मानित किया गया। (ख) मारिया ने इंसानी …
Page No 72: Question 1: (क) शहर की ओर जाते हुए वल्ली ने बस की खिड़की से बाहर क्या-क्या देखा? “अब तो उसकी खिड़की से बाहर देखने की इच्छा भी खत्म हो गई थी।” (ख) वापसी में वल्ली ने खिड़की के बाहर देखना बंद क्यों कर दिया? (ग) वल्ली ने बस के टिकट के लिए …
NCERT Solutions for Class 8 chapter 10 बस की सैर (कहानी) Hindi Read More »
Page No 62: Question 1: (क) लेखक बैडमिंटन चैंपियन था। उसे हॉकी खेलने की प्रेरणा किससे और कैसे मिली? (ख) इंग्लैंड से मैच जीतने के बाद सबकी आँखों में आँसू क्यों थे? (ग) ‘खिलाड़ियों में जज़्बा ज़रूरी है।’ लेखक ने किस जज़्बे की बात की है? यह जज़्बा क्यों ज़रूरी है? Answer: (क) लेखक बैडमिंटन …
NCERT Solutions for Class 8 chapter 9 एक खिलाड़ी की कुछ यादें (संस्मरण) Hindi Read More »
Page No 57: Question 1: (क) नरेंद्र के सारे पैसे क्यों खत्म हो गए? (ख) अजय ने नरेंद्र को क्या और क्यों समझाया? (ग) अजय के अन्य दोस्तों ने नरेंद्र के बारे में क्या कहा और क्यों? Answer: (क) नरेंद्र के पैसे चूरन, चुस्की और आइसक्रीम ले लेने में खर्च हो गए। (ख) अजय ने …
NCERT Solutions for Class 8 chapter 8 सस्ते का चक्कर (एंकाकी) Hindi Read More »
Page No 47: Question 1: नीचे लिखी पंक्तियाँ पढ़ो। आपस में चर्चा करके इसके नीचे दिए गए प्रश्नों के उत्तर दो– (क) “तेरे हरे–भरे सावन के साथी ये आए हैं“ क्या बादल हरे–भरे सावन के साथी हैं अथवा किसान के? या दोनों के। (ख) “तेरे प्राणों में भरने को नया राग लाए हैं“ बादल ऐसा क्या …
NCERT Solutions for Class 8 chapter 7 उठ किसान ओ (कविता) Hindi Read More »
Page No 41: Question 1: (क) सागर यात्रा में नौका को सँभालने के लिए हर समय एक व्यक्ति की ज़रूरत थी। क्यों? (ख) वे लोग समुद्र की यात्रा कर रहे थे। समुद्र यात्रा में भी उन्हें पानी की समस्या क्यों हुई? Answer: (क) सागर यात्रा में नौका सम्भालने के लिए हर समय एक व्यक्ति की …
NCERT Solutions for Class 8 chapter 6 सागर यात्रा (यात्रा वृत्तांत) Hindi Read More »
Page No 34: Question 1: (क) बच्चों ने मंच की व्यवस्था किस प्रकार की? (ख) पर्दे की आड़ में खड़े अन्य साथी मन-ही-मन राकेश की तुरतबुद्धि की प्रशंसा क्यों कर रहे थे? (ग) नाटक के लिए रिहर्सल की जरूरत क्यों होती है? Answer: (क) मोहल्ले के बच्चों ने मिल-जुलकर फालतु पड़े एक छोटे से सार्वजनिक …
NCERT Solutions for Class 8 chapter 5 नाटक में नाटक (कहानी) Hindi Read More »
Page No 24: Question 1: (क) कविता में रतन किसे कहा गया है और वे कहाँ-कहाँ बिखरे हुए हैं? (ख) ओस कणों को देखकर कवि का मन क्या करना चाहता है? Answer: (क) कविता में ओस को रतन कहा गया है। यह हरी घास, पत्तों और फूलों पर बिखरे हुए हैं। (ख) ओस कणों को …
NCERT Solutions for Class 8 chapter 4 ओस (कविता) Hindi Read More »
Page No 18: Question 1: इस पत्र के आधार पर नीचे दिए गए प्रश्नों के उत्तर दो – (क) इस पत्र का लेखक किस शहर/देश की यात्रा पर गया था? (ख) उस देश में कौन-कौन से खेल-खेले जाते हैं? वहाँ कौन-सा खेल सबसे अधिक लोकप्रिय है? (ग) उस देश के कुछ खाद्य पदार्थों के नाम …
NCERT Solutions for Class 8 chapter 3 चिट्ठियों में यूरोप (पत्र) Hindi Read More »
Page No 11: Question 1: (क) दोनों गौरैयों को पिताजी जब घर से बाहर निकालने की कोशिश कर रहे थे तो माँ क्यों मदद नहीं कर रही थी? बस, वह हँसती क्यों जा रही थी? (ख) देखो जी, चिड़ियों को मत निकालो। माँ ने पिताजी से गंभीरता से यह क्यों कहा? (ग) “किसी को सचमुच …
NCERT Solutions for Class 8 chapter 2 दो गौरेया (कहानी) Hindi Read More »
Page No 2: Question 1: (क) गुड़िया को कौन, कहाँ से और क्यों लाया है? (ख) कविता में जिस गुड़िया की चर्चा है वह कैसी है? (ग) कवि ने अपनी गुड़िया के बारे में अनेक बातें बताई हैं। उनमें से कोई दो बातें लिखो। Answer: (क) गुड़िया को कवि लाया था। जब वह मेले में …
NCERT Solutions for Class 8 chapter 1 गुड़िया (कविता) Hindi Read More »
Page No 124: Question 1: गवरइया और गवरा के बीच किस बात पर बहस हुई और गवरइया को अपनी इच्छा पूरी करने का अवसर कैसे मिला? Answer: आदमी के कपड़े पहनने की बात को लेकर ‘गवरइया’ और ‘गवरा’ में बहस हुई। गवरहया को आदमी का रंग बिरंगे कपड़े पहनना अच्छा लगता था। जबकि गवरा का …
NCERT Solutions for Class 8 chapter 18 टोपी Hindi Read More »
Page No 114: Question 1: घायल होने के बाद भी बाज ने यह क्यों कहा,” मुझे कोई शिकायत नहीं है।” विचार प्रकट कीजिए। Answer: बाज ने अपने जीवन को व्यर्थ नहीं जाने दिया। उसने सदैव जीवन के द्वारा दिए गए सुख व दुख को समान भाव से भोगा। उसने आकाश की असीम ऊँचाइयों को भी …
NCERT Solutions for Class 8 chapter 17 बाज और साँप Hindi Read More »
Page No 103: Question 1: लेखक को ओस की बूँद कहाँ मिली? Answer: लेखक को बेर की झाड़ी पर ओस की बूँद मिली। जब लेखक झाड़ी के नीचे से गुजर रहा था तो ओस की बूँद उसके कलाई पर गिरी और सरककर हथेली पर आ गई। Question 2: ओस की बूँद क्रोध और घृणा से …
NCERT Solutions for Class 8 chapter 16 पानी की कहानी Hindi Read More »
Page No 93: Question 1: श्रीकृष्ण गोपियों का माखन चुरा-चुराकर खाते थे इसलिए उन्हें माखन चुरानेवाला भी कहा गया है। इसके लिए एक शब्द दीजिए। Answer: माखनचोर Question 2: श्रीकृष्ण के लिए पाँच पर्यायवाची शब्द लिखिए। Answer: पर्यायवाची शब्द श्रीकृष्ण :- वासुदेव, सारथी, मुरलीधर, हरि, नन्दलला। Question 1: बालक श्रीकृष्ण किस लोभ के कारण दूध …
NCERT Solutions for Class 8 chapter 15 सूरदास के पद Hindi Read More »
Page No 89: Question 1: ”इस भेद को मेरे सिवाए मेरा ईश्वर ही जानता है। आप उसी से पूछ लीजिए। मैं नहीं बताँऊंगा।” बिलवासी जी ने यह बात किससे और क्यों कही? लिखिए। Answer: ‘बिलवासी’ जी ने यह बात ‘लाला झाऊलाल’ से कही क्योंकि उसने ये पैसे अपनी पत्नी के संदूक से चुराए थे। इस …
NCERT Solutions for Class 8 chapter 14 अकबरी लोटा Hindi Read More »
Page No 76: Question 1: ”…उन जंजीरों को तोड़ने का जिनमें वे जकड़े हुए हैं, कोई-न-कोई तरीका लोग निकाल ही लेते हैं…” आपके विचार से लेखक ‘जंजीरों’ द्वारा किन समस्याओं की ओर इशारा कर रहा है? Answer: हमारे समाज में अनेकों ऐसी समस्याए हैं जैसे – (i) पुरानी रूढ़ीवादी विचारधारा एक सबसे बड़ी समस्या है। …
NCERT Solutions for Class 8 chapter 13 जहाँ पहिया है Hindi Read More »
Page No 68: Question 1: सुदामा की दीनदशा देखकर श्रीकृष्ण की क्या मनोदशा हुई? अपने शब्दों में लिखिए। Answer: सुदामा की दीनदशा को देखकर श्रीकृष्ण को अत्यन्त दुख हुआ। दुख के कारण श्री कृष्ण की आँखों से अश्रुधारा बहने लगी। उन्होंने सुदामा के पैरों को धोने के लिए पानी मँगवाया। परन्तु उनकी आँखों से इतने …
NCERT Solutions for Class 8 chapter 12 सुदामा चरित Hindi Read More »
Page No 63: Question 1: जब पहली बोलती फिल्म प्रदर्शित हुई तो उसके पोस्टरों पर कौन-से वाक्य छापे गए? उस फिल्म में कितने चेहरे थे? स्पष्ट कीजिए। Answer: देश की पहली बोलती फिल्म के विज्ञापन के लिए छापे गए वाक्य इस प्रकार थे- ”वे सभी सजीव हैं, साँस ले रहे हैं, शत–प्रतिशत बोल रहे हैं, अठहत्तर मुर्दा इनसान जिंदा हो गए, उनको बोलते, बातें करते देखो।” पाठ के आधार पर ‘आलम आरा’ में कुल मिलाकर 78 चेहरे थे। परन्तु …
NCERT Solutions for Class 8 chapter 11 जब सिनेमा ने बोलना सीखा Hindi Read More »
Page No 57: Question 1: कहानी में मोटे-मोटे किस काम के हैं? किन के बारे में और क्यों कहा गया? Answer: मोटे-मोटे से तात्पर्य यहाँ घर के सभी बच्चों से लिया गया है। बच्चे सारे दिन खेलते-कूदते रहते थे परन्तु घर के कामकाज में ज़रा सी भी मदद नहीं करते थे। उनके पिताजी ने फरमान …
NCERT Solutions for Class 8 chapter 10 कामचोर Hindi Read More »
Page No 49: Question 1: ‘तलवार का महत्व होता है म्यान का नहीं’-उक्त उदाहरण से कबीर क्या कहना चाहते हैं? स्पष्ट कीजिए। Answer: तलवार तथा म्यान के उदाहरण द्वारा ‘कबीर दास’ ने जाति-पाति का विरोध किया है। कबीर दास कहते हैं कि किसी मनुष्य की जाति मत पूछो क्योंकि उसके व्यक्तित्व की विशेषता उसके ज्ञान …
NCERT Solutions for Class 8 chapter 9 कबीर की साखियाँ Hindi Read More »
Page No 43: Question 1: ”यह कठिन समय नहीं है?” यह बताने के लिए कविता में कौन-कौन से तर्क प्रस्तुत किए गए हैं? स्पष्ट कीजिए। Answer: यह बताने के लिए कवि ने निम्नलिखित तर्क दिए हैं- (i) अभी भी चिड़िया की चोंच में तिनका दबा है। (ii) एक हाथ झड़ती हुई पत्ती को थामने के …
NCERT Solutions for Class 8 chapter 8 यह सबसे कठिन समय नहीं Hindi Read More »
Page No 39: Question 1: लेखक ने स्वीकार किया है कि लोगों ने उन्हें भी धोखा दिया है फिर भी वह निराश नहीं हैं। आपके विचार से इस बात का क्या कारण हो सकता है? Answer: यहाँ लेखक का आशावादी व्यक्तित्व सामने आता है। जहाँ तक लेखक ने अपने व्यक्तिगत अनुभवों का वर्णन किया है, …
NCERT Solutions for Class 8 chapter 7 क्या निराश हुआ जाए Hindi Read More »
Page No 32: Question 1: कवि ने पक्षी और बादल को भगवान के डाकिए क्यों बताया है? स्पष्ट कीजिए। Answer: पक्षी और बादल भगवान के डाकिए इसलिए कहे गए हैं क्योंकि ये एक देश से होकर दूसरे देश में जाकर सद्भावना का संदेश देते हैं। भगवान का यहीं संदेश ये हम तक पहुँचाते हैं कि …
NCERT Solutions for Class 8 chapter 6 भगवान के डाकिए Hindi Read More »
Page No 27: Question 1: पत्र जैसा संतोष फ़ोन या एसएमएस का संदेश क्यों नहीं दे सकता? Answer: पत्रों का अपना अलग महत्व है। पत्रों द्वारा हम अपने मनोभावों को खुलकर व्यक्त कर सकते हैं लेकिन फ़ोन, एसएमएस द्वारा केवल कामकाजी बातों को संक्षिप्त रूप से व्यक्त कर सकते हैं। पत्रों को हम अपने सगे-सम्बंधियों …
NCERT Solutions for Class 8 chapter 5 चिट्ठियों की अनूठी दुनिया Hindi Read More »
Page No 21: Question 1: कवि ने अपने आने को ‘उल्लास’ और जाने को ‘आँसू बनकर बह जाना’ क्यों कहा है? Answer: कवि अपने आने को ‘उल्लास’ कहता है क्योंकि किसी भी नई जगह पर आने से उसे खुशी मिलती है तथा उस स्थान को छोड़कर जाते समय दुख होता है और इसीलिए आँखों से …
NCERT Solutions for Class 8 chapter 4 दीवानों की हस्ती Hindi Read More »
Page No 17: Question 1: ”मैंने उस कंपनी के हिस्सेदार की तरफ़ पहली बार श्रद्धाभाव से देखा” •लेखक के मन में हिस्सेदार साहब के लिए श्रद्धा क्यों जग गई? Answer: बस की हालत बहुत ही खस्ता थी। लेखक के अनुसार उस बस के अंदर बैठना अपने प्राणों का बलिदान देने जैसा था और उसका हिस्सेदार-साहब …
NCERT Solutions for Class 8 chapter 3 बस की यात्रा Hindi Read More »
Page No 10: Question 1: बचपन में लेखक अपने मामा के गाँव चाव से क्यों जाता था और बदलू को ‘बदलू मामा’ न कहकर ‘बदलू काका’ क्यों कहता था? Answer: लेखक के मामा के गाँव में लाख की चूड़ियाँ बनाने वाला कारीगर बदलू रहा करता था। वो लाख की बहुत सुन्दर चुड़ियाँ बनता था। परन्तु …
NCERT Solutions for Class 8 chapter 2 लाख की चूड़ियाँ Hindi Read More »
Page No 2: Question 1: कवि को ऐसा विश्वास क्यों है कि उसका अंत अभी नहीं होगा? Answer: उसकोविश्वासहैकिअभीवोकमज़ोरनहींहै।अपितुउसकेअंदरजीवनकोजीनेकेलिएउत्साह, प्रेरणावऊर्जाकूट-कूटकरभरीहै।एकमनुष्यतभीस्वयंकाअंतमानलेताहैजबवहअपनेअंदरकीऊर्जाकोक्षीणवउत्साहकोकमकरदेताहै।प्रेरणाजीवनकोईंधनदेनेकाकार्यकरतीहै, जबयेहीनरहेतोमनुष्यकाजीवनकैसा? परन्तुयेतीनोंप्रचुरमात्रामेंउसकेपासहैं।तोकैसेवहस्वयंकाअंतमानले।इसलिएउसकाविश्वासहैकिवोअभीअंतकीओरजानेवालानहींहै। Question 2: फूलों को अनंत तक विकसित करने के लिए कवि कौन-कौन-सा प्रयास करता है? Answer: फूलों को विकसित करने के लिए कवि उन कोमल कलियों को जो इस संसार से अनभिज्ञ हैं …
NCERT Solutions for Class 8 chapter 1 ध्वनि Hindi Read More »
Page No 126: Question 1: ‘आखिर यह भारत है क्या? अतीत में यह किस विशेषता का प्रतिनिधित्व करता था? उसने अपनी प्राचीन शक्ति को कैसे खो दिया? क्या उसने इस शक्ति को पूरी तरह खो दिया है? विशाल जनसंख्या का बसेरा होने के अलावा क्या आज उसके पास ऐसा कुछ बचा है जिसे जानदार कहा …
Page No 123: Question 1: Discuss with your partner the following definition of a poem. A poem is made of words arranged in a beautiful order. These words, when read aloud with feeling, have a music and meaning of their own. Answer: Poem is supposedly an artistic piece which contains a speech as well as …
NCERT solution class 8 chapter 18 On the Grasshopper and Cricket (Poem) english Read More »
Page No 110: Question 1: In the first stanza, find words that show (i) that it was very cold. (ii) that it was late evening. (iii) that the traveller was alone. Answer: (i) Rime (ii) Starlight (iii) Lonesomeness Question 2: (i) Something happened at Lyonnesse. It was (a) improbable. (b) impossible. (c) unforeseeable. (ii) Pick …
NCERT solution class 8 chapter 17 When I Set Out For Lyonnesse (Poem) english Read More »
Page No 99: Question 1: Taking words that come at the end of lines, write five pairs of rhyming words. Read each pair aloud. For example, pond − beyond Answer: Five pairs of rhyming words are as follows: (i) Hop − stop (ii) Back − Quack (iii) Duck − luck (iv) Reflection − objection (v) …
NCERT solution class 8 chapter 16 The Duck and the Kangaroo (Poem) english Read More »
Page No 85: Question 1: Find three or four words/phrases in stanza 1 that reflect the child’s happiness and joy. Answer: The phrases that reflect the child’s joy and happiness are ‘love to rise in a summer morn’, ‘birds sing on every tree’, ‘the skylark sings with me’, and ‘sweet company’. Question 2: In stanza …
NCERT solution class 8 chapter 15 The School Boy (Poem) english Read More »
Page No 75: Question 1: Who is the speaker in the poem? Answer: The speaker in the poem is a man who is looking for work. Question 2: “The king, sword in hand” suggests (i) wealth (ii) power (iii) more power than wealth Mark the appropriate item in the context of stanza 1. Answer: “The …
NCERT solution class 8 chapter 14 The Last Bargain (Poem) english Read More »
Page No 51: Question 1: Read the first stanza and think. (i) Is Macavity a cat really? (ii) If not, who can Macavity be? Answer: (i) No, Macavity is not a cat really. (ii) Macavity is just a fictional character created by the poet whose actions resemble those of a crook’s. Question 2: Complete the following sentences. …
NCERT solution class 8 chapter 13 Macavity – The Mystery Cat (Poem) english Read More »
Page No 35: Question 1: Find three or four phrases in stanzas one and two which are likely to occur in a geography lesson. Answer: Some phrases that are likely to occur in a Geography lesson are ‘the city had developed the way it had’, ‘it scaled six inches to the mile’, ‘cities where the …
NCERT solution class 8 chapter 12 Geography Lesson (Poem) english Read More »
Page No 23: Question 1: The cricket says, “Oh! What will become of me?” When does he say it, and why? Answer: The cricket said the given line when it found that its cupboard was empty and winter had arrived. It could not find a single crumb to eat on the snow covered ground and …
NCERT solution class 8 chapter 11 The Ant and the Cricket (Poem) english Read More »
Page No 136: Question 1: Write ‘True’ or ‘False’ against each of the following statements. 1. Ernest’s words reminded people of the wise old sayings. ___________ 2. Total strangers from far away, who visited Ernest in the valley, found his face familiar. _____________ 3. The Great Stone Face confirmed Ernest’s view that the poet could …
NCERT solution class 8 chapter 10 The Great Stone Face – II english Read More »
Page No 129: Question 1: Write ‘True’ or ‘False’ against each of the following statements. 1. The Great Stone Face stood near where Ernest and his mother lived. ______ 2. One would clearly distinguish the features of the Stone Face only from a distance. ______ 3. Ernest loved his mother and helped her in her …
NCERT solution class 8 chapter 9 The Great Stone Face – I english Read More »
Page No 115: Question 1: Why is the author not able to see Bijju? Answer: The author was not able to see Bijju because of the mist that had covered the surroundings. Question 2: What are the two ways in which the hills appear to change when the mist comes up? Answer: When the mist …
NCERT solution class 8 chapter 8 A Short Monson Dairy english Read More »
Page No 104: Question 1: Which is the right sentence? “Cambridge was my metaphor for England.” To the writer, (i) Cambridge was a reputed university in England. (ii) England was famous for Cambridge. (iii) Cambridge was the real England. Answer: (iii) To the writer, Cambridge was the real England. Question 2: Which is the right sentence? …
NCERT solution class 8 chapter 7 A Visit to Cambridge english Read More »
Page No 90: Question 1: What had happened to Jody’s father? Answer: Jody’s father had been bitten by a rattlesnake. Question 2: How did the doe save Penny’s life? Answer: The doe’s liver and heart were used to draw out the poison from Penny. Question 3: Why does Jody want to bring the fawn home? …
NCERT solution class 8 chapter 6 This is Jody’s Fawn english Read More »
Page No 80: Question 1: Standing on Everest, the writer was (i) overjoyed. (ii) very sad. (iii) jubilant and sad. Choose the right item. Answer: (iii) Standing on Everest, the writer was jubilant and sad. Question 2: The emotion that gripped him was one of (i) victory over hurdles. (ii) humility and a sense of smallness. …
NCERT solution class 8 chapter 5 The Summit Within english Read More »
Page No 62: Question 1: Why did the man stare at Bepin Babu in disbelief? Answer: The man stared at Bepin Babu in disbelief because Bepin Babu did not recognise him even though he was sure that he knew him and had met him in Ranchi. Question 2: Where did Bepin Babu say he went …
NCERT solution class 8 chapter 4 Bepin Choudhury’s Lapse of Memory english Read More »
Page No 45: Question 1: Look at picture 1 and recall the opening lines of the original song in Hindi. Who is the singer? Who else do you see in this picture? Answer: The original song is “Ae mere watan ke logon….” The singer is Lata Mangeshkar. Pandit Jawaharlal Nehru, Lal Bahadur Shastri, Indira Gandhi, …
NCERT solution class 8 chapter 3 Glimpses of the Past english Read More »
Page No 27: Question 1: Say whether the following are true or false. 1. Ignesious lost his wife, two children, his father-in law, and his brother-in-law in the tsunami. 2. Sanjeev made it to safety after the tsunami. 3. Meghna was saved by a relief helicopter. 4. Almas’s father realised that a tsunami was going …
NCERT solution class 8 chapter 2 The Tsunami english Read More »
Page No 10: Question 1: What did the author find in a junk shop? Answer: The author found a nineteenth century roll-top desk in the junk shop. It was made of oak. It was in a very bad condition. The roll-top was broken into several pieces. One of the legs was clumsily mended and there …
NCERT solution class 8 chapter 1 The Best Christmas Present in the World english Read More »
Page No 252: Question 1: What are the different ways in which water gets contaminated? Answer: Water gets contaminated by the addition of: (i) Agricultural chemicals: Farmers use excessive amounts of pesticides and fertilizers to increase crop production. These chemicals get carried away to the water bodies due to rains and floods which lead to water pollution. …
NCERT solution class 8 chapter 18 Pollution of Air and Water science Read More »
Page No 234: Question 1: Which of the following is NOT a member of the solar system? (a) An asteroid (b) A satellite (c) A constellation (d) A comet Answer: (c) Constellation A constellation is not a member of the solar system. Constellations are groups of stars that form recognisable shapes. Question 2: Which of …
NCERT solution class 8 chapter 17 Stars and the Solar System science Read More »
Page No 212: Question 1: Suppose you are in a dark room. Can you see objects in the room? Can you see objects outside the room? Explain. Answer: If we are in a dark room, then it is not possible for us to see objects in the room. However, objects outside the room are visible …
Page No 197: Question 1: Which of the following cannot be charged easily by friction? (a) A plastic scale (b) A copper rod (c) An inflated balloon (d) A woollen cloth Answer: (b) A copper rod Only non-conducting materials can be easily charged by friction. Copper is a highly conducting materials. Therefore, a copper rod …
NCERT solution class 8 chapter 15 Some Natural Phenomena science Read More »
Page No 180: Question 1: Fill in the blanks. (a) Most liquids that conduct electricity are solutions of ________, _______ and ________. (b) The passage of an electric current through a solution causes _________ effects. (c) If you pass current through copper sulphate solution, copper gets deposited on the plate connected to the __________ terminal of the battery. (d) The process of depositing …
NCERT solution class 8 chapter 14 Chemical Effects of Electric Current science Read More »
Page No 168: Question 1: Choose the correct answer. Sound can travel through (a) gases only (b) solids only (c) liquids only (d) solids, liquids and gases. Answer: (d) Sound can travel through solids, liquids, and gases. Sound requires a medium to travel through. Solid, liquid and gas provide the medium for sound. Hence, sound …
Page No 155: Question 1: Fill in the blanks. (a) Friction opposes the ________ between the surfaces in contact with each other. (b) Friction depends on the _________ of surfaces. (c) Friction produces _________. (d) Sprinkling of powder on the carrom board ________ friction. (e) Sliding friction is ________ than the static friction. Answer: (a) Friction opposes the __motion__ between the surfaces in contact with each …
NCERT solution class 8 chapter 12 Friction science Read More »
Page No 142: Question 1: Give two examples each of situations in which you push or pull to change the state of motion of objects. Answer: Two examples of push force are as follows: (i) A heavy box at rest is pushed to move it from one room to another. This changes the state of …
NCERT solution class 8 chapter 11 Force and Pressure science Read More »
Page No 124: Question 1: What is the term used for secretions of endocrine glands responsible for changes taking place in the body? Answer: Hormones are chemical substances which are secreted by endocrine glands. They are responsible for changes taking place in the body. Question 2: Define adolescence. Answer: Adolescence is the time period between …
NCERT solution class 8 chapter 10 Reaching the Age of Adolescence science Read More »
Page No 110: Question 1: Explain the importance of reproduction in organisms. Answer: Reproduction is a biological process through which living organisms produce offspring similar to themselves. Living organisms reproduce to maintain their number and for the continuation of their species. Thus, reproduction ensures the continuation of similar kinds of individuals. Question 2: Describe the …
NCERT solution class 8 chapter 9 Reproduction in Animals science Read More »
Page No 98: Question 1: Indicate whether the following statements are True (T) or False (F). (a) Unicellular organisms have one-celled body. (T / F) (b) Muscle cells are branched. (T / F) (c) The basic living unit of an organism is an organ. (T / F) (d) Amoeba has irregular shape. (T / F) Answer: (a) …
NCERT solution class 8 chapter 8 Cell – Structure and Functions science Read More »
Page No 86: Question 1: Fill in the blanks: (a) A place where animals are protected in their natural habitat is called a __ . (b) Species found only in a particular area are known as ______. (c) Migratory birds fly to far away places because of ____ _ changes. Answer: (a) A place where animals are protected in their …
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Page No 75: Question 1: List conditions under which combustion can take place. Answer: Combustion is a process of reaction of a substance with oxygen. There are certain conditions required for combustion to take place. They are: (i) Presence of a fuel (ii) Air (or oxygen) (iii) Ignition temperature (minimum temperature at which a substance …
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Page No 62: Question 1: What are the advantages of using CNG and LPG as fuels? Answer: The advantages of using compressed natural gas (CNG) and liquified petroleum gas (LPG) as fuels are: (i) They can be burnt directly. (ii) They can be transported easily through pipe lines. (iii) They are clean fuels and do …
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Page No 53: Question 1: Which of the following can be beaten into thin sheets? (a) Zinc (b) Phosphorus (c) Sulphur (d) Oxygen Answer: (a) Zinc Question 2: Which of the following statements is correct? (a) All metals are ductile. (b) All non-metals are ductile. (c) Generally, metals are ductile. (d) Some non-metals are ductile. …
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Page No 41: Question 1: Explain why some fibres are called synthetic. Answer: There are some fibres that are prepared by man by using chemicals. These are called synthetic fibres. These are made of small units that join together to form long chains. Examples of synthetic fibres are rayon, nylon, polyester, acrylic, etc. Question 2: …
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Page No 29: Question 1: Fill in the blanks: (a) Microorganisms can be seen with the help of a _________. (b) Blue green algae fix _________ directly from air to enhance fertility of soil. (c) Alcohol is produced with the help of _________. (d) Cholera is caused by _________. Answer: (a) Microorganisms can be seen …
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Page No 13: Question 1: Select the correct word from the following list and fill in the blanks. float, water, crop, nutrients, preparation (a) The same kind of plants grown and cultivated on a large scale at a place is called _________. (b) The first step before growing crops is ________ of the soil. (c) …
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Page No 104: Question 1 श्लोकांशेषु रिक्तस्थानानि पूरयत − (क) सीमन्तिनीषु का ———————राजा ——————— गुणोत्तम: । (ख) कं सञ्जघान ——————— का ——————— गङ्गा? (ग) के ——————— कं ——————— न बाधते शीतम् ।। (घ) वृक्षाग्रवासी न च ———————, ——————— न च शूलपाणि । Answer: (क) सीमन्तिनीषु का शान्ता राजा कोऽभूत् गुणोत्तम: । (ख) कं सञ्जघान कृष्ण: का शीतलवाहिनी गङ्गा? (ग) के दारपोषणरता: कं बलवन्तं न बाधते शीतम् ।। (घ) वृक्षाग्रवासी …
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Page No 97: Question 1 एकपदेन उत्तरत − (क) सूर्य कस्यां दिशायाम् उदेति? (ख) आर्यभटस्य वेधशाला कुत्र आसीत्? (ग) महान गणितज्ञ: ज्योतिविच्च क: अस्ति? (घ) आर्यभटेन क: ग्रन्थ: रचित: ? (ङ) अस्माकं प्रथमोपग्रहस्य नाम किम् अस्ति? Answer: (क) पूर्वस्याम् । (ख) पाटलीपुत्रे। (ग) आर्यभट: । (घ) आर्यभटीयम्। (ङ) आर्यभट: । Question 2 सन्धिविच्छेद कुरूत − …
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Page No 90: Question 1 अधोलिखितानां प्रश्नानाम् एकपदेन उत्तराणि लिखत − (क) पृथिव्या: मानदण्ड: क:? (ख) हिमालय: भारतस्य कस्यां दिशि वर्त्तते? (ग) इन्दो: किरणेषु क: निमज्जति? (घ) कुमारसंभव महाकाव्यस्य रचयिता क:? (ङ) हिमालय: गुहासु क रक्षति? Answer: (क) हिमालय:। (ख) उत्तरस्याम् । (ग) अङ्क:। (घ) कालिदास:। (ङ) अन्धकारम् । Page No 91: Question 2 अधोरेखाङ्कितेभ्य: …
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Page No 85: Question 2 अधोलिखितेषु पदेषु प्रयुक्तां विभक्तिं वचनं च लिखत − पदानि विभक्ति: वचनम् यथा-भ्रमणाय चतुर्थी: एकवचनम् (क) वस्तूनि ————————— ————————— (ख) प्लाटिकेन ————————— ————————— (ग) विकीर्णानि ————————— ————————— (घ) मसियष्ट्या ————————— ————————— (ङ) स्यूतकेषु ————————— ————————— (च) काष्ठपीठे ————————— ————————— (छ) पृथिव्याम् ————————— ————————— Answer: पदानि विभक्ति: वचनम् यथा-भ्रमणाय चतुर्थी: एकवचनम् (क) …
NCERT solution class 8 sanskrit chapter 12 कः रक्षति कः रक्षितः Read More »
Page No 77: Question 1 अधोलिखितानां प्रश्नानाम् उत्तराणि लिखत − (क) महाराष्ट्रस्य प्रथमा महिला शिक्षिका का आसीत्? (ख) कस्य समुदायस्य बालिकानां कृते सावित्री अपरं विद्यालयं प्रारब्धवती? (ग) कीदृशीनां कुरीतानां सावित्री विरोधम् अकरोत्। (घ) किमर्थं शीर्णवस्त्रावृता: नार्य: कूपात् जलं ग्रहीतुं वारिता:? (ङ) सावित्र्या: मृत्यु: कथम् अभवत्? (च) तस्या: द्वयो: काव्यसङ्कलनयो नामनी के? Answer: (क) सावित्री बाई …
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Page No 70: Question 3 श्लोकेषु रिक्तस्थानानि पूरयत- (क) अशोक ——————– तु तस्यां वानर ——————–। स ददर्शाविदूरस्थं ——————– प्रासादमूर्जितम्|| (ख) कर्णिकारै: किंशुकैश्च ——————–। स देश: ——————– तेषां प्रदीप्त इव ——————–। Answer: (क) अशोक वनिकायां तु तस्यां वानर पुंगव:। स ददर्शाविदूरस्थं चैत्य प्रासादमूर्जितम्|| (ख) कर्णिकारै: किंशुकैश्च कुसुमितै: सुपुष्पितै:। स देश: प्रभया तेषां प्रदीप्त इव सर्वत:। Page No 71: Question 4 श्लोकांशान् योजयत- क …
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Page No 64: Question 2 प्रश्नानाम् उत्तराणि एकपदेन लिखत − (क) अस्माकं देशे कति राज्यानि सन्ति? (ख) प्राचीनेतिहासे का: स्वाधीना आसन्? (ग) केषां समवाय: ‘सप्तभगिन्य:’ इति कथ्यते? (घ) अस्माकं देशे कति केन्द्रशासित प्रदेशा: सन्ति? (ङ) सप्तभगिनी प्रदेशे क: उद्योग: सर्वप्रमुख: ? Answer: (क) अष्टविंशति: (ख) सप्तभगिन्य: (ग) सप्तराज्यानाम्। (घ) सप्त। (ङ) वंशोद्योग:। Question 3 अधोलिखितपदेषु …
NCERT solution class 8 sanskrit chapter 9 सप्तभगिन्यः (प्रत्यय:) Read More »
Page No 54: Question 1 एकपदेन उत्तरत- (क) कस्य राज्यस्य भागेषु गजधर: शब्द: प्रयुज्यते? (ख) गजपरिमाणं क: धारयति? (ग) कार्यसमाप्तौ वेतनानि अतिरिच्य गजधरेभ्य: किं प्रदीयते स्म? (घ) के शिल्पिरूपेण न समादृता: भवन्ति? Answer: (क) राजस्थानस्य। (ख) गजधर:। (ग) सम्मानमपि। (घ) गजधरा:। Question 2 अधोलिखितानां प्रश्नानामुत्तराणि लिखत- (क) तडागा: कुत्र निर्मीयन्ते स्म? (ख) गजधरा: कस्मिन् रूपे …
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Page No 45: Question 2 अधोलिखितानां प्रश्नानामुत्तराणि लिखत- (क) कूप: कीदृश: अस्ति? (ख) महास्फोट: कुत्र आस्ते? (ग) बाल कुत्र विलपिष्यति? (घ) जलवाहिनी यदि द्रुतं गच्छेत् तर्हि किं स्यात्? Answer: (क) गंभीर (महालम्बस्तले)। (ख) करे। (ग) गृहे। (घ) वसनं आर्द्र भवेत्। Question 3 अधोलिखितेषु पदेषु यथापेक्षितं सन्धिं/विच्छेदं कुरुत- (क) तस्य + अस्ति = ——————–। (ख) ——————– …
NCERT solution class 8 sanskrit chapter 7 जलवाहिनी (विशेष्य-विशेषणप्रयोग:) Read More »
Page No 40: Question 1 एकपदेन उत्तरत- (क) प्रेमल: कथं श्रान्त: आसीत्? (ख) प्रेमल: कदा गृहम् आगच्छत्? (ग) प्रेमल: कानि प्राज्वालयत्? (घ) चुल्लीं प्रज्वालयितुं प्रेमल: किं कृतवान्? (ङ) प्रेमली कस्य पत्नी आसीत्? Answer: (क) काष्ठच्छेदेन्। (ख) सायं काले। (ग) काष्ठानि (घ) फूत्कारम् (ङ) प्रेमलस्य। Question 2 अधोलिखितेषु पदेषु उपसर्गं चित्वा पृथक् कुरुत- यथा-अपगमिष्याति = अप …
Page No 33: Question 1 एकपदेन उत्तरं लिखत- (क) व्याधस्य नाम किम् आसीत्? (ख) चञ्चल: व्याघ्रं कुत्र दृष्टवान्? (ग) विस्तृते जाले क: बद्ध: आसीत्। (घ) बदरी-गुल्मानां पृष्ठे का निलीना आसीत्? (ङ) अनारतं कूर्दनेन क: श्रान्त: अभवत्? Answer: (क) चञ्चल:। (ख) वने। (ग) व्याघ्र:। (घ) लोमशिका। (ङ) व्याघ्र:। Question 2 संस्कृतेन उत्तरत- (क) चञ्चलेन वने किं …
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Page No 25: Question 2 अधोलिखितानां प्रश्नानाम् उत्तराणि एकपदेन लिखत- (क) स्वकीयं साधनं किं भवति? (ख) पथि के विषमा: प्रखरा:? (ग) सततं किं करणीयम्? (घ) एतस्य गीतस्य रचयिता क:? (ङ) स: कीदृश: कवि: मन्यते? Answer: (क) बलम्। (ख) पाषाणा:। (ग) ध्येय स्मरणम्। (घ) श्रीधर भास्कर वर्णेकर:। (ङ) राष्ट्रवादी। Question 3 मञ्जूषात: क्रियापदानि चित्वा रिक्तस्थानानि पूरयत- …
Page No 20: Question 1 अधोलिखितानां प्रश्नानाम् उत्तराणि एकपदेन लिखत- (क) गणिकाया: नाम किम्? (ख) परिव्राजकस्य शिष्य: क: आसीत्? (ग) यमदूत: गणिकाया: जीवं कस्य शरीरे निदधति? (घ) परहितनिरता के भवन्तु? Answer: (क) वसन्तसेना। (ख) शाण्डिल्य:। (ग) परिव्राजकस्य। (घ) भूतगणा:। Question 2 सन्धिविच्छेदं कुरुत- यथा – तत्रैव तत्र + एव भगवन्नयम् ——————– + ——————– श्वासश्च ——————– …
NCERT solution class 8 sanskrit chapter 3 भगवदज्जुकम (नकारान्तपुँल्लिङ्ग:) Read More »
Page No 9: Question 2 एकपदेन उत्तरं लिखत- (क) सिंहस्य नाम किम्? (ख) गुहाया: स्वामी क: आसीत्? (ग) सिंह: कस्मिन् समये गुहाया: समीपे आगत:? (घ) हस्तपादादिका: क्रिया: केषां न प्रवर्तन्ते? (ङ) गुहा केन प्रतिध्वनिता? Answer: (क) खरनखर:। (ख) दधिपुच्छ: शृगाल:। (ग) सूर्यास्तसमये। (घ) भयसन्त्रस्तमनसाम् (ङ) सिंहस्य गर्जनेन Question 3 मञ्जूषात: अव्ययपदं चित्वा वाक्यानि पूरयत- सदा …
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Page No 3: Question 2 श्लोकांशेषु रिक्तस्थानानि पूरयत- (क) समुद्रमासाद्य ———————। (ख) ——————— वच: मधुरसूक्तरसं सृजन्ति। (ग) तद्भभागधेयं ——————— पशूनाम्। (घ) विद्याफलं ——————— कृपणस्य सौख्यम्। (घ) स्त्रियां ——————— सर्वं तद् ———————कुलम्। Answer: (क) समुद्रमासाद्य भवन्त्यपेया:। (ख) श्रुत्वा वच: मधुरसूक्तरसं सृजन्ति। (ग) तद्भागधेयं परमं पशूनाम्। (घ) विद्याफलं व्यसनिनं कृपणस्य सौख्यम्। (घ) स्त्रियां रोचमानायां सर्वं तद् रोचते कुलम्। Question 3 प्रश्नानाम् उत्तराणि एकपदेन लिखत- (क) व्यसनिन: किं नश्यति? …
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Exercise 1 A 1. Fill in the blanks (i) $\dfrac{\phantom{-}3}{-4}$ , expressed as a rational number with denominator (ii) (iii)
EXERCISE 12 D QUESTION 1 Divide (i) 28a3b2c by 7ab (ii) 48a4b5c6 by – 16a2c2 (iii) $-\dfrac{4}{5}a^2b^2c^4 \text{ by } -\dfrac{6}{15}abc^2$ QUESTION 2 Divide : (i) 16pr2-8pr3-4p2r2 by -4pr2 (ii) 6×7-8×6+4×5-10×4+6×3 by -2×3 (iii) 7x4y2-14x3y3+35x2y4-56x7y5+21y6 by 7x2y2 (iv) $\dfrac{3}{5}abc-\dfrac{2}{5}a^2bc^2+\dfrac{1}{7}ab^2 \text{ by } \dfrac{1}{3}abc$ QUESTION 3 Divide : (i) (x2+8x+15) by (x+3) (ii) (2×2+7x+6) by (x+2) …
EXERCISE 12 C QUESTION 1 Multiply : (i) 12xy by -8×2 (ii) -16a2b2 by -5ab2 (iii) $\left(\dfrac{3}{5}a^2b^2\right) \text{ by } \left(\dfrac{10}{27}ab^4\right)$ (iv) $\left(-\dfrac{11}{8}xy^3\right)\text{ by } \left(-\dfrac{24}{55}x^4\right)$ QUESTION 2 Multiply : (i) (6x-5) by -3x (ii) (12x^2-4x+5) by 8×3 (iii) (3a^3x^3-4ay^2+7a^2y) by -4x2ya2 QUESTION 3 Find the product : (i) (x+6)(x+11) (ii) (2a+5)(3a-6) (iii) (5x+2b)(5x-2b) (iv) …
EXERCISE 12 B QUESTION 1 Add the following expressions (i) 2ab + 3b and 5ab + 7b (ii) 2×2 + 3xy and 6xy – 4×2 (iii) 5×2 – 11z + 7 and 10z2 -18 + 7z (iv) y2 – 3y2 + 7y – 17 and 2y^2 – 5y – 8y2 + 20 (v) 4×2 – …
EXERCISE 10 B Question 1 The pressure P of an enclosed gas , held at a constant temperature , is inversely proportional to the volume V of the gas . Express P in terms of V and the constant of variations K . Calculate (i) The value of K when P = 500 and V …
EXERCISE 10 C Question 1 4 mens can make 4 cupboards in 4 days ; how many cupboards can 14 mens make in 14 days ? Sol : As number of men ∝ number of cupboards or Number of days In 4 days 4 mens make 4 cupboards ∴ In 1 day 4 mens make …
EXERCISE 7 (B) Question 1 What percent of a day is the time duration of 3 hours? Sol : Total hours in a day = 24 hours Given hours = 3 hours in percentage Hence , of a day represent 3 hours Question 2 About 67% of a human body’s total weight is water.If …
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EXERCISE 4 (B) Number Cube Cube Root 1 1 1.000 2 8 1.260 3 27 1.442 4 64 1.587 5 125 1.710 6 216 1.817 7 343 1.913 8 512 2.000 9 729 2.080 10 1000 2.154 11 1331 2.224 12 1728 2.289 13 2197 2.351 14 2744 2.410 15 3375 2.466 16 4096 …
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Exercise 3 (D) NUMBER SQUARE SQUARE ROOT 1 1 1.000 2 4 1.414 3 9 1.732 4 16 2.000 5 25 2.236 6 36 2.449 7 49 2.646 8 64 2.828 9 81 3.000 10 100 3.162 11 121 3.317 12 144 3.464 13 169 3.606 14 196 3.742 15 225 3.873 16 256 …
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Exercise 3 (C) 1.Find the square root of each of the following numbers. (i) 152.7696 (ii) 49.7025 (iii) 64.0324 (iv) 291.7264 (v) 81.108036 (vi) 0.000036 (vii) 0.00002809 (viii) 0.00033124 2.The area of a square field is 577.4409 square meters. Find the length of one side of the field. 3.Find the square root of the following numbers correct to 2 decimal places. …
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Exercise 3 (B) 1.Find the square root of each of the following numbers by division method. (i) 3249 (ii) 6889 (iii) 15129 (iv) 75625 (v) 166464 (vi) 9548100 (vii) \( \dfrac{1089}{3481} \) (viii) \( \dfrac{7569}{14884} \) (ix) \( 2\dfrac{337}{9216} \) (x) \( 9\dfrac{4185}{5776} \) 2.Find the perimeter of a square field whose area is 13689\( m^2 \). 3.What should be subtracted from 18.246 to …
S.chand books class 8 maths solution chapter 3 Square and Square Roots exercise 3 B Read More »
EXERCISE 30 1.A die is rolled once. What is the probability of rolling. (i) 3 (ii) 7 (iii) an even number (iv) a prime number? 2.Ramesh chooses a date at random in April for a party. Calculate the probability that he chooses. (i) a saturday (ii) a sunday (iii) a saturday or a sunday 3.A …
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EXERCISE 29 B 1.Represent the following distribution of ages (in years) of 35 teachers in a school by means of a histogram. <div style=”overflow: auto;”> <table style=”border-collapse: collapse;” border=”1″> <tr><th>Age(in years)</th><td>25-30</td><td>30-35</td><td>35-40</td><td>40-45</td><td>45-50</td></tr> <tr><th>Number of teachers</th><td>12</td><td>11</td><td>8</td><td>1</td><td>3</td></tr> </table> </div> Draw histrograms for the following frequency distributions. 2. <div style=”overflow: auto;”> <table style=”border-collapse: collapse;” border=”1″> <tr><th>Size</th><td>0-10</td><td>10-20</td><td>20-30</td><td>30-40</td><td>50-60</td></tr> <tr><th>Frequency</th><td>5</td><td>10</td><td>20</td><td>25</td><td>20</td><td>10</td></tr> </table> </div> …
EXERCISE 29 A 1.The following table shows the number of students in a school playing five different games. <div style=”overflow: auto;”> <table style=”border-collapse;” border=”1″> <tr><th>Games</th><td>Football</td><td>Hockey</td><td>Cricket</td><td>Tennis</td><td>Squash</td></tr> <tr><th>Number of students</th><td>200</td><td>175</td><td>250</td><td>75</td><td>50</td></tr> </table> </div> Present this information on a bar graph 2.The following table shows how a student spends his pocket money during the course of a month <div …
EXERCISE 28 C Find the median of the following. 1. 7,32,15,28,43,29 2. 22,22,38,73,42,64,28,54 3.What is the median score achieved by a student who recorded the following scores on 10 math quizes ? 4.Determine the mode(s) for each of the following sets of data (i) 2,8,7,3,2,7,6,7 (ii) 14,16,18,14,10,14,16,12,16,10 (iii) 21,38,80,26,55,80,53,68,80,51 (iv) 26,32,26,21,83,26,83,67,53,83,85 5.Find the mode of …
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EXERCISE 28 B 1.Fill in the blanks: (i) The difference between the maximum and the minimum observations in a data is called the ___ of the data. (ii) The number of observations in a particular class interval is called the ___ of the class interval. 2.Find: (i) Lower limit of the class interval 46 – …
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EXERCISE 28 A 1.Write (T) for true or (F) for false. Use the following frequency table. <div style=”overflow: auto;”> <table> <tr><th>Age</th><td>13</td><td>14</td><td>15</td><td>16</td><td>17</td><td>18</td><td>19</td></tr> <tr><th>Frequency</th><td>3</td><td>2</td><td>7</td><td>2</td><td>3</td><td>2</td><td>1</td></tr> </table></div> (i) The frequency of 19 is 1 (ii) The frequency of 14 is 3 (iii) 17 has the lowest frequency (iv) 16 has a frequency of 2 (v) 15 has the highest …
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EXERCISE 27 C 1.Find the volume of each of the following cylinders whose: (i) Radius of base = 10cm Height = 14 cm (ii) Radius of base = 21cm Height = 30 cm (iii) Radius of base = 10.5cm Height = 35 cm 2.The area of the base of a circular cylinder is 35 cm^2 …
EXERCISE 27 B 1.Copy and complete the given table for a cylinder (use pi=22/7) <div style=”overflow: auto;”> <table style=”border-collapse: collapse;” border=”1″> <tr><th></th><th>Radius</th><th>Height</th><th>Curved Surface Area</th><th>Area of Base</th><th>Total Surface Area</th></tr> <tr><td>(i)</td><td>14cm</td><td>20cm</td><td></td><td></td><td></td></tr> <tr><td>(ii)</td><td>0.28cm</td><td>45cm</td><td></td><td></td><td></td></tr> <tr><td>(iii)</td><td>5.6cm</td><td>13.2cm</td><td></td><td></td><td></td></tr> </table> </div> 2.Find the radius of a sylinder whose height is 42cm and whose curved surface area is 8448 cm^2. 3.The total surface area …
EXERCISE 27 A 1.Find the surface area and volume of cuboid whose dimensions are : (i) 3m , 5m and 7m (ii) 4.8m , 80cm and 50cm (iii) 2.4cm , 16cm , 4mm 2.Find the surface area and volume of a cube whose side is : (i) 6cm (ii) 1.2cm (iii) $\dfrac{1}{8}~cm$ 3.Find the volume …
EXERCISE 26 1.Find the circumference and area of each of the following circles given: (i) radius=14cm (ii) radius=4.2cm (iii) diameter=56cm (iv) diameter=16.1cm 2.Find the diameter of the circle whose (i) Circumference is 308cm (ii) Area=962.5cm^2 3.Two wire circles of diameters 28cm and 35cm are cut and then joined to form a big circle of radius …
EXERCISE 25 E Find the areas of the following polygons 1. 2. 3. 4. 5.A school croosing sign has the dimensions as shown in the figure. (i) What is the area of the sign boards ? (ii) If the 4 such sign boards are cut from the rectangular metal sheet 350cm long and 320cm wide, …
EXERICSE 25 D 1.Find the area of the following trapezium whose dimensions are: (i) Height=10cm Parallel sides=6cm and 8cm (ii) Height=4cm Parallel sides=6.4cm and 4.6cm (iii) Height=8.4cm Parallel sides=15cm and 9.2cm (iv) Height=7cm Parallel sides=12cm and 16cm 2.Find the height of a trapezium. whose sum of the lengths of the bases is 31 cm and …
EXERCISE 25 C 1.Find the area of each of the following parallelogram whose base=340mm , height=17cm. 2.The adjacent sides of a parallelogram are 8m and 5m .The distance between the longer sides is 4m. What is the distance between the shorter sides ? 3.The area of a parallelogram is 98cm^2 and its altitude is twice …
EXERCISE 25 B 1.Find the area of each of the following triangles: (i) (ii) (iii) 2.The base of a triangle measures 32 cm and its altitude is 45 cm. Find the area of the triangle in square metres. 3.Find the height of a triangle, if its area is 24 cm^2 and its base is 15 …
EXERICSE 25 A 1.(i) Find the perimeter and area of a square whose one side is 6.5cm long. (ii) Find the area of a square whose perimeter is 124 cm. (iii) Find the perimetr and diagonal of a square whose area is 64 cm^2 2.Find in hectares the area of a square-shaped field 14km long. …
EXERCISE 24 B Calculate the angles marked with letters. O is the center of the circle wherever given. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.(i) If angleAOb=126deg , what is angleAPB ? (ii) If angleOAB=29 deg , what is angleAPB ? (iii) If angleAPB=62 deg , …
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EXERCISE 24 A 1.Calculate the length marked by x In each oi the following diagrams. the unit of length being cm. (O is the centre in each diagram) (i) (ii) (iii) 2.In a circle with centre O and radius 13cm , AB is a chord. If OMperpendicularAB and OM=5cm , what is the length of …
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EXERCISE 23 D 1.Match each graph with the correct description. (i) (ii) (iii) (iv) (a) (b) (c) (d) 2.The graph shows an aeroplane’s flight. (i) What does 1 small square represent (a) horizontally ? (b) vertically? (ii) For how long was the aeroplane climbing ? (iii) What was the aeroplane’s speed whilst climbing? (iv) How …
S.chand books class 8 maths solution chapter 23 Linear Graphs exercise 23 D Read More »
EXERCISE 23 C 1.From a table of values showing the coordinates of the points highlighted on each of the graphs given below and hence write the equation showing the relationship between x and y. (i) (ii) (iii) (iv) 2.Copy and complete the table of values for each equation. Hence,draw the respective graphs. (i) y=x+5 (ii) …
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EXERCISE 23 B 1.Fill in the blanks: (i) The graph of x=1 is a line parallel to the ____ axis (ii) The graph of y=1 is a line parallel to the ____ axis (iii) The equation ax+by+c=0 (where a and b are not both zero) is called a ___ equation. (iv) The graph of 2x=1 …
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EXERCISE 23 A 1.Draw your own set of axes on a graph paper and plot the following points (i) A (5, 3) (ii) B (—4, 6) (iii) C (—3, -7) (iv) D (6, —5) (v) E (6, 6) (vi) F (-6, 3) (vii) G(-8,-6) (viii) H(-1,8) 2.Write down the coordinates of: (i) The vertices P, …
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EXERCISE 22 C 1.State the co-ordinates of image of each of the following points: (i) P(5,8) , Q(-7,11) , R(10,-6) , T(-15,-7) after reflection in x-axis (ii) A(11,14) , B(-10,15) , C(17,-12) , D(-6,-8) after reflection in y-axis 2.Write down the coordinates of image of each the points E(-7,-13) and F(16,-21) when (i) reflected in …
EXERCISE 22 D 1.Which of the following shapes have rotationary symmetry of order more than 1 ? Also state the order for each figure. (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) 2.Name any four geometric figure which have same number lines of symmetry and order of rotational symmetry. 3.What is the angle of rotation …
EXERCISE 22 B 1.Copy the figure and show the images which result from reflection in the line m (i) (ii) (iii) 2.Complete the given shapes after drawing the images of the given portions in the mirror line. Name the complete shape so formed. Example. The first one is a kite (i) (ii) (iii) (iv)
EXERCISE 22 A 1.Examine the following shapes and tell which of these have a line or lines of symmetry and which do not have any line of symmetry ? (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) 2.Draw the lines of symmetry in each of the following figures: (i) (ii) (iii) (iv) (v) (vi) (vii) …
EXERCISE 21 1.The adjoining net is made up of two equilateral triangles and three rectangles (i) Name the solid it represents (ii) How many faces,edges and vertices does this solid have ? 2.For each solid, count the numebr of faces , vertices and edges. Check if the Euler’s rule is true for each one. (i) …
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EXERCISE 20 B I.Construct a rectangle ABCD given: 1.AB=7cm , BC=6cm 2.AB=6.9cm , BC=3.7cm 3.AB=8.2cm , BC=7.1cm 4.AB=8cm , BC=5.8cm 5.AB=8cm , BD=10cm 6.AB=12cm , AC=13cm 7.Constrcut a rectangle WXYZ where WX=5cm and WY=7cm II. Constrcut a square ABCD 1.Of side 2.3cm 2.Of side 6.2cm 3.AB=3.8cm 4.One diagonal=6.2cm 5.One diagonal=8cm 6.BD=5.9cm III.Constrcut a parallelogram ABCD …
EXERCISE 20 A Comnstruct a quadrilateral: 1.(i) ABCD in which AB=4cm , BC=6cm, CD=5.5cm,AD=5cm and AC=8cm (ii) PQRS in which PQ=3.5cm,QR=5.5cm , RS=4.5cm, PS=5cm and PR=7cm 2.(i) PQRS in which PQ=4cm , QR=3cm , PS=2.5cm , PR=4.5cm and QS=4cm (ii) Is it possible to construct a quadrilateral ABCD in which AB=1.5cm , AD=3cm ,CD=2cm , …
EXERCISE 19 E 1.Find the number of sides of a regular polygon in which each interior angle is 162°. 2.How many sides has a polygon the sum of whose interior angles is 1980deg ? 3.The angles of a quadrilateral taken in order are 2x , 3x , 7x ,8x. Find x and prove that two …
EXERCISE 19 D 1.EFGH is a rhombus. Find a , b , c 2.PQRS is a rectangle whose diagonals intersect at point O. IF OP=4x-1 and OS=2x+7. Find the value of x. 3.The diagonals of a rectangle ABCD intersect at O. If angleAOB=114 deg , find angleACD and angleADB . 4.ABCD is a rhombus with …
EXERCISE 19 C 1.For each of the statements given below, indicate if it is true(T) or false(F): (i) A rectagle is a parallelogram (ii) A square is a rectangle (iii) A parallelogram is a rhombus (iv) A square is a rhombus (v) A rectangle is a square (vi) A square is a parallelogram 2.What kind …
EXERCISE 19 B 1.In a parallelogram PQRS, angleS=75deg . Determine the measures of angleP and angleQ. 2.The measures of two adjacent angles of a parallelogram are in the ratio 2:7. Find the measure of each of the parallelogrm. 3.Two opposite angles of a parallelogram are 6x-17deg and x+63 deg. Find the measure of each angle …
EXERCISE 19 A 1.What would you call a figure having four sides out of which two opposite sides are parallel ? 2.What would you call a figure having four sides, the opposite sides parallel and the angles at the corner right angles ? 3.What would you call a figure having four equal sides, the opposite …
EXERCISE 18 1.The three angles of a quadrilaterals are 110 deg , 71 deg and 70 deg. Find its fourth angle. 2.In a quadrilateral PQRS, angleP=120 deg and angleQ=angleR=angleS, find angleQ , angleR and anglesS 3.In the adjoining figure, P is a point in the interior of angleAOB and angleAOB=40 deg. If Pmperpendicular 4.Find the …
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EXERCISE 17 B 1.Two sides begin , calculate the third side marked by letter in each right angled triangle: (i) (ii) (iii) (iv) 2.Calculate the length of the ramp fig 3.Calculate the length of the wire fig 4.Look at the figure at the right. If you walk at the speed of 8 m/sec , how …
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EXERCISE 17 C 1.Can the following side lengths form a triangle? Explain. (i) 3,5,6 (ii) 6,9,12 (iii) 5,7,13 (iv) 7,8,13 (v) 10,15,25 2.P is a point in the interior of deltaABC. State which of the following statements are true (T) or false (F). (i) AP+PB<AB (ii) AP+PC>AC (iii) BP+PC=BC 3.in the figure, state which path …
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EXERCISE 17 D 1.In the given figure , AX bisects angleCAB and angleBDC. Show that deltaABDsimilaritydeltaACD. 2.In the figure, ABC is a triangle with BD and CE perpendicular to AC and AB respectively, such that BD = CE. Prove that deltaBCDsimilaritydeltaCBE 3.In the given figure, AB = AC and D , E and F are …
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EXERCISE 17 A 1.The three angles of a triangle measures (2x-10degree) , (x+31deg) and (5x+7deg) . Find the value of x and hence all the angles of the triangle 2.One of the exterior angles of a triangle is 153 deg and the interior opposite angles are in the ratio 5 : 4 . Find the …
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EXERCISE 16 B 1. 2. 3. 4. 5. 6.
EXERCISE 16 A 1. 2. 3. 4. 5. 6. 7. 8.
EXERCISE 15 B Question 1 The sum of three consecutive odd natural numbers is 87. What are the three numbers ? Sol : Let the three consecutive odd numbers be (2x+1) , (2x+3) and (2x+5) A.T.Q ⇒(2x+1)+(2x+3)+(2x+5)=87 ⇒2x+1+2x+3+2x+5=87 ⇒6x+9=87 ⇒6x=87-9 ⇒6x=78 ⇒ ⇒x=13 Hence , the consecutive numbers are ⇒2x+1=2×13+1=27 , ⇒2x+3=2×13+3=29 and ⇒2x+5=2×13+5=31 …
S.chand books class 8 maths solution chapter 15 Linear Equations exercise 15 B Read More »
EXERCISE 15 A Solve the following equations: Question 1 3(x+1) + 4x = 24 Sol : ⇒ 3x+3+4x=24 ⇒ 7x=24-3 ⇒ 7x=21 ⇒ ⇒ Question 2 16-2(3y+5) = 4(y-2) Sol: ⇒16-6y-10=4y-8 ⇒16-10+8=4y+6y ⇒24-10=10y ⇒14=10y ⇒ ⇒y=1.4 Question 3 3(z+1)+4(z+0.3) = 20z + 0.98 Sol: ⇒3z+3+4z+1.2=20z+0.98 ⇒7z+4=20z+0.98 ⇒4-0.98=20z-7z ⇒3.02=13z ⇒ ⇒z=0.23 Question 4 …
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EXERCISE 14 H Factorise: 1. 2x^2 + 7x + 5 2. 4x^2 + 15x + 14 3. 4x^2 + 28x + 13 4. 3x^2 + 13x + 14 5. 4x^2 + 8x – 5 6. 2x^2 – 5x -12 7. 13a^2 + 37a – 6 8. 40a^2 + a -6 9. 4a^2 – 16a + …
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EXERCISE 14 G 1. a^2 + 7a +12 2. x^2 + 8x + 15 3. x^2 + 13x + 42 4. x^2 – 17x + 72 5. s^2 + 9s – 36 6. x^2 + 5x – 50 7. a^2 – 10a + 16 8. x^2 – 4x – 5 9. a^2 + 2a – …
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EXERCISE 14 F 1. (a+b)^2 – 1 2. (3x-2y)^2 – 9z^2 3. 1-(x-y)^2 4. 4x^2 – 9(2x-y)^2 5. 16(x+y)^2 – 25(x-y)^2 6. ab^2 – ac^2 7. 36x^3 – x 8. 3 – 12b^2 9. 18ax^2 – 98ay^2 10. 2x^2 – \dfrac{1}{2} [Hint: Given Exp=2\left(x^2-\dfrac{1}{4}\right)] 11. x^4 – y^4 12. x^4 – 625 13. 16y^4 – …
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EXERCISE 14 E 1. x^2 – 9 2. x^2 – 4 3. a^2 – 25 4. p^2 – 1 5. 16a^2 – 121 6. 16x^2 – 25y^2 7. 36m^2 – 169n^2 8. -64 + 25x^2 9. x^2y^2 – a^2 10. x^4 – 9 11. a^8 – 36 12. x^6 – 16 13. 1 – 4c^12 …
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EXERCISE 14 D 1. x^2 + 4x + 4 2. x^2 + 6x + 9 3. x^2 – 10x + 25 4. 4x^2 – 4x + 1 5. a^2 + 10ab + 25b^2 6. x^2 – 8xy + 16y^2 7. 4x^2 + 20xy + 25y^2 8. 64x^2 – 80xy + 25y^2 9. x^4 + 6x^2 …
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Exercise 14 C 1. x(m+n) + ym + yn 2. px + py + x(x+y) 3. ax + ay + 8x + 8y 4. m(m+4) – 8m – 32 5. 3x + 3y + px + py 6. ax + bx + 7a + 7b 7. xy – zx -2y + 2z 8. x^2 + …
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Exercise 14 B Factorise: 1. (x+3)x + (x+3)y 2. (a+1)x + (a+1)y 3. a(m+n) + b(m+n) 4. 2(x-a)^2 + (x-y) 5. a(a+b) – b(b+a) 6. (p+q)^2 + 3(p+q) 7. (x+y)^2 + (x+y) 8. 21(4p-5q)^3 + 14(4p-5q)^2 9. a(x-y) – b(x-y)^2 10. a(x+y+z) + b(x+y+z) + c(x+y+z) 11. (a+b)^3 – 3ab(a+b) 12. a(a-2c) + b(a-2c) + …
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Exercise 14 A Factorize completely by removing a monomial factor. Question 1 3y – 9 Sol : = 3(y) + 3( -3) The common factor is 3 , dividing each term by 3 we obtain other factor ( y – 3 ) = 3(y-3) Question 12 5x + 10 Sol : = 5(x) + …
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EXERCISE 6 (A) 1.State which of the following sets are finite and which are infinite. (i) {The men who have orbited the Earth}. (ii) {The men who have landed on the moon}. (iii) {The integers between -5 and +5} (iv) {} (v) {The infants in your class}. (vi) (vii) {The sets of atoms in Earth} (viii) …
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EXERCISE 5 C Question 1 Replace each letter W the correct numeral. (i) (ii) (iii) (iv) Question 2 What should come in place of the question mark(?) in the following number series ? (i) 563 , 582 , 620 , 677 , 753 , 848 ? (ii) 17 , 17 , 51 , 255 , …
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EXERCISE 5 (B) Question 1 Which of the following numbers are divisible by 2 ? 57, 4, 60, 93, 126, 365, 80, 992 Sol: A numbers is divisible by 2 , if their unit digit is even (0 , 2 , 4 , 6 , 8) . So , the answer is 34 , 60 …
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EXERCISE 2 Question 1 Evaluate: (i) 2-3 (ii) 60 (iii) (-3)-2 (iv) 85 . 8-5 (v) $\dfrac{1}{2^{-2}}$ (vi) 3(8-1)0 (vii) $\dfrac{1}{2^{-1}}-\dfrac{1}{3^{-1}}$ (viii) 7×0 (ix) a2 ÷ a-2 (x) $\dfrac{y^{-6}}{y^4}$ (xi) (x -3)0 (xii) 60 + 6 -1 + 3 -1 (xiii) $\dfrac{1}{a^0 + b^0}$ (xiv) (3×2)3 (xv) $\left[\left(\dfrac{5}{7}\right)^{-6}\right]^0$ Question 2 (i) x5 . x3 …
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EXERCISE 12 A QUESTION 1 Which of the following expressions are not polynomials ? (i) Sol : Yes , its a polynomial (ii) Sol : [∴ ] No , its not a polynomial since it contains negative exponent(power) (iii) Sol : Yes , it is a polynomial (iv) Sol : No …
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EXERCISE 11 Question 1 A can do of the work in 12 days . In how many days can he complete of the work ? Sol : ⇒A can do of work in 12 days ⇒ A can do 1 work in days And [Mutiplying both side by 3/4] ⇒ A can do work in …
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EXERCISE 10 A Question 1 Given that y is directly proportional to x and y = 40 , when x = 200 . Find the value of (i) y , when x = 15 Sol: (i) y ∝ x ⇒ , where k is the constant of variation Given , ⇒ k = \dfrac{1}{5} Also …
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EXERCISE 9 C Question 1 What total amount will Ravi get in 3 years if he invest 5000 at 5% per annum , compounded annually ? Sol : Principal(P) = 5000 , Rate(R) = 5% and Time period(n) = 3 years $\text{Amount}=\text{P}\left(1+\dfrac{\text{R}}{100}\right)^n$ $=5000\left(1+\dfrac{5}{100}\right)^3$ $=5000\left(1+\dfrac{1}{20}\right)^3$ $=5000\left(\dfrac{20+1}{20}\right)^3$ $=5000\left(\dfrac{21}{20}\right)^3$ $=5000\times\dfrac{9261}{8000}$ $=\dfrac{5\times 9261}{8}$ = 5×1157.625 = 5788.125 = 5788.13 …
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Exercise 9 (B) QUESTION 1 Find the amount and compound interest on 4000 at 12% p.a. for 2 years , compounded annually . Sol : Principal for first year = 4000 and R = 12 , T = 1 year Interest for the first year = 480 Principal for the second year = 4000 + …
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Exercise 9 (A) QUESTION 1 What will be the simple interest for 1 year 4 months on a sum of 25800 at the rate of 14% p.a. ? Sol : We know = 4816 QUESTION 2 What will 5000 amount to at 8% p.a. for the period from april 6 , 2017 to june …
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Exercise 8B QUESTION 1 The marked price of a saree is ₹ 3800 . The shopkeeper offers a discount of 15% during sale time . What is the selling price of saree ? Sol : Given : M.P = 3800 and Discount = 15% = 3,230 QUESTION 2 The marked price of a shirt …
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EXERCISE 8.3 QUESTION 1 Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in each case. (a) Gardening shears bought for Rs 250 and sold for Rs 325. Sol : (a) Cost price = Rs 250 Selling price = Rs 325 Profit = 325 — 250 …
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Exercise 10(A) QUESTION 1 Identify the constant and variables from the following : (a) 5xyz Sol : Constant : 5 Variable : xyz (b) 7 Sol : Constant : 7 Variable : No variable (c) 8y Sol : Constant : 8 Variable : y (d) 5y – 3x Sol : Constant : 5 , 3 …
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Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) EXERCISE 9(D) Question 1 Find the compound interest on ₹ 6,500 in 3 years at 10% per annum compounded annually. Sol : Principal for the first year = ₹ 6,500 Interest for the first year = 650 ∴ Amount at the end of the first year = …
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Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) EXERCISE 9(C) QUESTION 1 An air conditioner is tested at ₹ 15000.What is the cost of the air conditioner to the customer, if he has to pay 5% as the sale tax? Sol: Cost Price of air conditioner= ₹ 15,000 Sale tax = 5% of 15,000 …
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Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) EXERCISE 9(B) Question 1 Find the S.P. when M.P. =₹ 990 and discount = 10%. Sol : We know that Selling Price = Market Price – Discount S.P = ( 990 ) – (10% of 990 ) S.P = 990 – S.P = 990 – 99 …
Blackberry publication class 8 maths chapter comparing quantities exercise 9B Read More »
प्रहेलिका पाठ का परिचय पहेलियाँ मनोरंजन का एक प्राचीन विद्या (तरीका) है। ये लगभग संसार की सभी भाषाओं में उपलब्ध् हैं। संस्कृत के कवियों ने इस परम्परा को अत्यन्त समृद्ध किया है। पहेलियाँ हमें आनन्द देने के साथ-साथ हमारी मानसिक व बौद्धिक प्रक्रिया को तीव्र बनाती हैं। इस पाठ में संस्कृत प्रहेलिका (पहेली) बूझने की …
Sanskrit translation of chapter 15 प्रहेलिका in hindi class 8 Read More »
आर्यभटः पाठ का परिचय भारतवर्ष की अमूल्य निधि है ज्ञान-विज्ञान की सुदीर्घ परम्परा। इस परम्परा को सम्पोषित करने वाले प्रबुद्ध मनीषियों में अग्रगण्य थे-आर्यभट। दशमलव प(ति का प्रयोग सबसे पहले आर्यभट ने किया, जिसके कारण गणित को एक नई दिशा मिली। इन्हें एवं इनके प्रवर्तित सिद्धांतों को तत्कालीन रूढ़िवादियों का विरोध् झेलना पड़ा। वस्तुतः गणित …
Sanskrit translation of chapter 14 आर्यभटः in hindi class 8 Read More »
हिमालयः पाठ का परिचय यह पाठ महाकवि कालिदास द्वारा लिखित ‘कुमार सम्भव’ नामक महाकाव्य के प्रथम सर्ग से लिया गया है। इन पद्यों में हिमालय की प्राकृतिक सुषमा का वर्णन किया गया है। (क) अस्त्युत्तरस्यां दिशि देवतात्मा हिमालयो नाम नगाधिराज:। पूर्वापरौ तोयनिधी वगाह्य स्थितः पृथिव्या इव मानदण्डः।।1।। अन्वयः उत्तरस्यां दिशि हिमालयो नाम देवतात्मा नगाधिराज: …
Sanskrit translation of chapter 13 हिमालयः in hindi class 8 Read More »
कः रक्षति कः रक्षितः पाठ का परिचय यह पाठ पर्यावरण पर केन्द्रित है। प्लास्टिक पर्यावरण के लिए घातक है, लेकिन इसका हमारे जीवन में इस सीमा तक प्रवेश हो चुका है कि इसके बिना दैनिक जीवन चलाने की कल्पना भी नहीं की जा सकती। इसके बढ़ते हुए उपयोग पर प्रश्नचिह्न लगाते हुए, पर्यावरण तथा प्रदूषण …
Sanskrit translation of chapter 12 कः रक्षति कः रक्षितः in hindi class 8 Read More »
सावित्री बाई फुले पाठ का परिचय शिक्षा हमारा अधिकार है। हमारे समाज के कई समुदायों को, जो लम्बे समय तक इससे वंचित रहे, इस अधिकार को पाने के लिए लम्बा संघर्ष करना पड़ा। इसकी प्राप्ति के लिए लड़कियों को विशेष रूप से विरोध् का सामना करना पड़ा। यह पाठ इसी संघर्ष का नेतृत्व करने वाली …
Sanskrit translation of chapter 11 सावित्री बाई फुले in hindi class 8 Read More »
अशोक वनिका पाठ का परिचय यह पाठ आदि कवि वाल्मीकिकृत रामायण के सुन्दरकाण्ड के पन्द्रहवें सर्ग से लिया गया है। हनुमान जी सीता जी की खोज में जब लंका में प्रवेश करते हैं तो वहाँ के प्रसिद्ध उद्यान अशोक वाटिका की शोभा का आनन्ददायक दर्शन करते हैं। इस पाठ में अशोक वाटिका जो दिव्य/अद्वितीय सौरभ, …
Sanskrit translation of chapter 10 अशोक वनिका in hindi class 8 Read More »
सप्तभगिन्यः पाठ का परिचय सप्तभगिनी-यह एक उपनाम है। उत्तर-पूर्व के सात राज्य विशेष को उक्त उपाधि दी गई है। इन राज्यों का प्राकृतिक सौन्दर्य अत्यन्त विलक्षण है। इनकी सांस्कृतिक और सामाजिक विशेषता को ध्यान में रखकर यह पाठ लिखा गया है। अध्यापिका – सुप्रभातम्। छात्राः – सुप्रभातम्। सुप्रभातम्। अध्यापिका – भवतु। अद्य किं पठनीयम्? …
Sanskrit translation of chapter 9 सप्तभगिन्यः in hindi Read More »
संसारसागरस्य नायकाः पाठ का परिचय यह पाठ अनुपम मिश्रा द्वारा लिखित ‘आज भी खरे हैं तालाब’ में संकलित ‘संसार सागर के नायक’ नामक अध्याय से लिया गया है। लेखक ने यहाँ पानी के लिए मानव निर्मित तालाब, बावड़ी जैसे निर्माणों को संसार सागर के रूप में चित्रित किया है। इस पाठ में, विलुप्त होते जा रहे पारम्परिक …
Sanskrit translation of chapter 8 संसारसागरस्य नायकाः in hindi Read More »
प्रेमलस्य प्रेमल्याश्च कथा पाठ का परिचय प्रस्तुत कहानी शिक्षाविद् गिजु भाई (1885-1939) की रचना ‘पेमला पेमली की कहानी’ का अनुवाद है। इस कहानी में एक महिला घरेलू कामों को पूरा करने की अपनी पारम्परिक भूमिका को वाक् चातुर्य से बदलने की कोशिश करती है। एकः आसीत् प्रेमलः एका चासीत् प्रेमली। काष्ठच्छेदेन श्रान्तः प्रेमलः सायंकाले …
Sanskrit translation of chapter 6 प्रेमलस्य प्रेमल्याश्च कथा in hindi class 8 Read More »
जलवाहिनी पाठ का परिचय यह गीत भोजपुरी लोकगीत का अनुवाद है। इसमें गाँव की पानी भरने वाली स्त्राी का चित्राण किया गया है। कुएँ से घड़े में जल भरकर लाते समय उसके मन में आने वाले अनेक भावों का वर्णन किया गया है। भरिष्याम्याहरिष्यामि च सलिलकुम्भं कियत्कालम्। भरिष्या…….. शनैर्यदि यामि चिररात्राय विलपिष्यति गृहे बालः। …
Sanskrit translation of chapter 7 जलवाहिनी in hindi class 8 Read More »
धर्मे धमनं पापे पुण्यम पाठ का परिचय यह कथा पंचतंत्र की शैली में लिखी गई है। यह लोककथा मध्यप्रदेश के डिण्डोरी जिले में परधानों के बीच प्रचलित है। इस कथा में बताया गया है कि संकट में पड़ने पर भी चुराई और तत्काल उचित उपाय की सूझ से, उससे निकला (बचा) जा सकता है। …
Sanskrit translation of chapter 5 धर्मे धमनं पापे पुण्यम in hindi class 8 Read More »
सदैव पुरतो निधेहि चरणम पाठ का परिचय श्रीधरभास्कर वर्णेकर ने अपने इस गीत में चुनौतियों को स्वीकार करते हुए आगे बढ़ने का आह्नान किया है। श्रीधर राष्ट्रवादी कवि हैं जिन्होंने इस गीत के द्वारा जागरण और कर्मठता का सन्देश दिया है। चल चल पुरतो निधेहि चरणम्। सदैव पुरतो निधेहि चरणम्।। अन्वय: चल, चल …
Sanskrit translation of chapter 4 सदैव पुरतो निधेहि चरणम in hindi class 8 Read More »
भगवदज्जुकम पाठ का परिचय भगवदज्जुकम् संस्कृत का एक प्रसिद्ध प्रहसन है। इसकी रचना बोधयन द्वारा की गई है। इसमें एक गणिका जिसका नाम वसन्तसेना है अपनी परभृतिका नामक सेविका के साथ उद्यान में विहार के लिए आती है। गणिका का प्रेमी रामिलक उसे मिलने वहाँ आता है। इसी बीच यम का भेजा दूत किसी अन्य स्त्री (जिसका नाम भी …
Sanskrit translation of chapter 3 भगवदज्जुकम in hindi Read More »
बिलस्य वाणी न कदापि मे श्रुता पाठ का परिचय प्रस्तुत पाठ संस्कृत के प्रसिद्ध कथाग्रन्थ ‘पञ्चतन्त्रम्’ के तृतीय तंत्र ‘काकोलूकीयम्’ से संकलित है। पञ्चतंत्र के मूल लेखक विष्णुशर्मा हैं। इसमें पाँच खण्ड हैं जिन्हें ‘तंत्र’ कहा गया है। इनमें गद्य-पद्य रूप में कथाएँ दी गई हैं जिनके पात्र मुख्यतः पशु-पक्षी हैं। कसि्ंमशि्चत् वने खरनखरः …
Sanskrit translation of chapter 2 बिलस्य वाणी न कदापि मे श्रुता in hindi Read More »
सूभाषितानि पाठ का परिचय ‘सुभाषित’ शब्द सु + भाषित दो शब्दों के मेल से बना है। सु का अर्थ है- सुन्दर, मधुर और भाषित का अर्थ है- वचन। इस प्रकार सुभाषित का अर्थ है- सुन्दर/मधुर वचन। इस पाठ में सूक्तिमञ्जरी, नीतिशतकम्, मनुस्मृतिः, शिशुपालवध्म्, पञ्चतंत्रम् से रोचक और उदात्त विचारों को उभारने वाले श्लोकों का संग्रह …
Sanskrit translation chapter सूभाषितानि class 8 in hindi Read More »
Exercise 16.1 Exercise 16.2 Exercise 16.2 Question 1 If 21y5 is a multiple of 9, where y is a digit, what is the value of y? Sol : If a number is a multiple of 9, then the sum of its digits will be divisible by 9. Sum of digits of 21y5 = 2 + …
NCERT solution class 8 chapter 16 Playing with numbers Read More »
Exercise 16.1 Exercise 16.2 Exercise 16.1 Question 1 Find the values of the letters in the following and give reasons for the steps involved. Sol : The addition of A and 5 is giving 2 i.e., a number whose ones digit is 2. This is possible only when digit A is 7. In that case, …
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Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.3 Question 1 Draw the graphs for the following tables of values, with suitable scales on the axes. (a) Cost of apples Number of apples 1 2 3 4 5 Cost (in Rs) 5 10 15 20 25 (b) Distance travelled by a car Time (in hours) 6 …
NCERT solution class 8 chapter 15 Introduction to Graphs Read More »
Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.2 Question 1 Plot the following points on a graph sheet. Verify if they lie on a line (a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4) (c) K(2, 3), L(5, 3), M(5, 5), N(2, 5) Sol : (a) …
NCERT solution class 8 chapter 15 Introduction to Graphs Read More »
Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.1 Question 1 The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 p.m.? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. What …
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Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.4 Question 1 Find and correct the errors in the statement: 4(x − 5) = 4x − 5 Sol : L.H.S. = 4(x − 5) = 4 × x − 4 × 5 = 4x − 20 ≠ R.H.S. The correct statement is 4(x − 5) …
Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.3 Question 1 Carry out the following divisions. (i) 28×4 ÷ 56x (ii) −36y3 ÷ 9y2 (iii) 66pq2r3 ÷ 11qr2 (iv) 34x3y3z3 ÷ 51xy2z3 (v) 12a8b8 ÷ (−6a6b4) Sol : (i) 28×4 = 2 × 2 × 7 × x × x × x × x …
Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.2 Question 1 Factorise the following expressions. (i) a2 + 8a + 16 (ii) p2 − 10p + 25 (iii) 25m2 + 30m + 9 (iv) 49y2 + 84yz + 36z2 (v) 4×2 − 8x + 4 (vi) 121b2 − 88bc + 16c2 (vii) (l + …
Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.1 Question 1 Find the common factors of the terms (i) 12x, 36 (ii) 2y, 22xy (iii) 14pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6abc, 24ab2, 12a2b (vi) 16×3, −4×2, 32x (vii) 10pq, 20qr, 30rp (viii) 3x2y3, 10x3y2, 6x2y2z Sol : (i) 12x = 2 × …
Exercise 13.1 Exercise 13.2 Exercise 13.2 Question 1 Which of the following are in inverse proportion? (i) The number of workers on a job and the time to complete the job. (ii) The time taken for a journey and the distance travelled in a uniform speed. (iii) Area of cultivated land and the crop harvested. …
NCERT solution class 8 chapter 13 Direct and Inverse proportions Read More »
Exercise 13.1 Exercise 13.2 Exercise 13.1 Question 1 Following are the car parking charges near a railway station up to 4 hours Rs 60 8 hours Rs 100 12 hours Rs 140 24 hours Rs 180 Check if the parking charges are in direct proportion to the parking time. Sol : A table of the …
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Exercise 12.1 Exercise 12.2 Exercise 12.2 Question 1 Express the following numbers in standard form. (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000 Sol : (i) 0.0000000000085 = 8.5 × 10−12 (ii) 0.00000000000942 = 9.42 × 10−12 (iii) 6020000000000000 = 6.02 × 1015 (iv) 0.00000000837 = 8.37 × 10−9 (v) 31860000000 = 3.186 …
NCERT solution class 8 chapter 12 Exponents and Power Read More »
Exercise 12.1 Exercise 12.2 Exercise 12.1 Question 1 Evaluate (i) 3−2 (ii) (−4)−2 (iii) Sol : (i) (ii) (iii) Question 2 Simplify and express the result in power notation with positive exponent. (i) (ii) (iii) (iv) (v) Sol : (i) (−4)5 ÷ (−4)8 = (−4)5 − 8 (am ÷ an = am − …
NCERT solution class 8 chapter 12 Exponents and Power Read More »
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.4 Question 1 Given a cylindrical tank, in which situation will you find surface area and in which situation volume. (a) To find how much it can hold (b) Number of cement bags required to plaster it (c) To find the number of smaller tanks that …
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.3 Question 1 There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make? Sol : We know that, Total surface area of the cuboid = 2 (lh + bh + lb) Total surface area of …
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.2 Question 1 The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m. E Sol : Area of trapezium = (Sum of parallel …
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.1 Question 1 A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Sol : Perimeter of square = 4 (Side of the square) = 4 (60 m) = 240 m Perimeter of …
Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.3 Question 1 Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles? Sol : (i) No, such a polyhedron is not possible. A polyhedron has minimum 4 faces. (ii) Yes, a triangular pyramid has 4 triangular faces. (iii) Yes, a …
NCERT solution class 8 chapter 10 Visualising Solid Shapes Read More »
Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.2 Question 1 Look at the given map of a city. Answer the following. (a) Colour the map as follows: Blue − water plant, red − fire station, orange − library, yellow − schools, green − park, pink − college, purple − hospital, brown − cemetery. (b) Mark a green …
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Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.1 Question 1 For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. Sol : The given solids, matched to their respective side view and top view, are as follows. Object Side view Top view Question 2 For …
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Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.4 Question 1 Multiply the binomials. (i) (2x + 5) and (4x − 3) (ii) (y − 8) and (3y − 4) (iii) (2.5l − 0.5m) and (2.5l + 0.5m) (iv) (a + 3b) and (x + 5) (v) (2pq + 3q2) and (3pq − 2q2) (vi) …
NCERT solution class 8 chapter 9 Algebraic Expression and Identities Read More »
Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.5 Question 1 Use a suitable identity to get each of the following products. (i) (x + 3) (x + 3) (ii) (2y + 5) (2y + 5) (iii) (2a − 7) (2a − 7) (iv) (v) (1.1m − 0.4) (1.1 m + 0.4) (vi) (a2 + …
NCERT solution class 8 chapter 9 Algebraic Expression and Identities Read More »
Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.3 Question 1 Carry out the multiplication of the expressions in each of the following pairs. (i) 4p, q + r (ii) ab, a − b (iii) a + b, 7a2b2 (iv) a2 − 9, 4a (v) pq + qr + rp, 0 Sol : (i) …
NCERT solution class 8 chapter 9 Algebraic Expression and Identities Read More »
Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.2 Question 1 Find the product of the following pairs of monomials. (i) 4, 7p (ii) − 4p, 7p (iii) − 4p, 7pq (iv) 4p3, − 3p (v) 4p, 0 Sol : The product will be as follows. (i) 4 × 7p = 4 × 7 × …
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Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.1 Question 1 Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 − 3zy (ii) 1 + x + x2 (iii) 4x2y2 − 4x2y2z2 + z2 (iv) 3 − pq + qr − rp (v) (vi) 0.3a − 0.6ab + 0.5b Sol …
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Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.3 Question 1 Calculate the amount and compound interest on (a) Rs 10800 for 3 years at per annum compounded annually. Sol : (a) Principal (P) = Rs 10, 800 Rate (R) = = % (annual) Number of years (n) = 3 Amount, A = C.I. = A …
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Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.2 Question 1 A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary. Sol : Let the original salary be x. It is given that the new salary is Rs 1,54,000. Original salary + Increment = New salary …
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Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.1 Question 1 Find the ratio of the following: (a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. (b) 5 m to 10 km (c) 50 paise to Rs 5 Sol : (a) Ratio of the speed of …
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Exercise 7.1 Exercise 7.2 Exercise 7.2 Question 1 Find the cube root of each of the following numbers by prime factorization method. (i) 64 Sol : (i) Prime factorization of ∴ (ii) 512 Sol : (ii) Prime factorization of ∴ (iii) 10648 Sol : (iii) Prime factorization of ∴ (iv) 27000 Sol …
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Exercise 7.1 Exercise 7.2 Exercise 7.1 Question 1 Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656 Sol : (i) The prime factorization of 216 is as follows. 2 216 2 108 2 54 3 27 3 9 3 3 1 216 = 2 × …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.3 Question 1 What could be the possible ‘one’s’ digits of the square root of each of the following numbers? (i) 9801 (ii) 99856 (iii) 998001 (iv) 657666025 Sol : (i) If the number ends with 1, then the one’s digit of the square root of …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.4 Question 1 Find the square root of each of the following numbers by division method. (i) 2304 Sol : (i) The square root of 2304 can be calculated as follows. 48 4 88 704 704 0 ∴ (ii) 4489 Sol : (ii) The square …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.1 Question 1 What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796 (x) 55555 Sol : We know that if a number has its …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.2 Question 1 Find the square of the following numbers (i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46 Sol : (i) 322 = (30 + 2)2 = 30 (30 + 2) + 2 (30 + 2) = 302 + 30 × 2 …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.3 Question 1 List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together Sol : (a) On spinning the given wheel, the possible outcomes are A, B, C, D. (b) By tossing two coins together, the possible outcomes are …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.2 Question 1 A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey. From this pie chart answer the following − (i) If 20 people liked …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.1 Question 1 For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.5 Question 1 Draw the following: The square READ with RE = 5.1 cm Sol : All the sides of a square are of the same measure and also all the interior angles of a square are of 90º measure. Therefore, the given square …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.4 Question 1 Construct the following quadrilaterals, (i) Quadrilateral DEAR DE = 4 cm EA = 5 cm AR = 4.5 cm ∠E = 60° ∠A = 90° Sol : (Step-1)A rough sketch of this quadrilateral can be drawn as follows. (Step-2) Draw a …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.3 Question 1 Construct the following quadrilaterals. (i) Quadrilateral MORE MO = 6 cm OR = 4.5 cm ∠M = 60° ∠O = 105° ∠R = 105° Sol : (Step-1)A rough sketch of this quadrilateral can be drawn as follows. (Step-2) Draw a line …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.2 Question 1 Construct the following quadrilaterals. (i) Quadrilateral LIFT LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm Sol : A rough sketch of this quadrilateral can be drawn as follows. (Step-1) …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.1 Question 1 Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm Sol : Firstly, a rough sketch of this quadrilateral can be drawn as follows. …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.4 Question 1 State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.3 Question 1 Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = … (ii) ∠DCB = … (iii) OC = … (iv) m∠DAB + m∠CDA = … Sol : (i) In a parallelogram, opposite sides are equal …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.2 Question 1 Find x in the following figures. (a) Sol : We know that the sum of all exterior angles of any polygon is 360º. (a) 125° + 125° + x = 360° 250° + x = 360° x = 110° (b) Sol : We …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.1 Question 1 Given here are some figures. (1) (2) (3) (4) (5) (6) (7) (8) Classify each of them on the basis of the following. (a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon Sol : (a) 1, 2, …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.6 Question 1 : Solve : \( \dfrac{8x-3}{3x}=2 \) Sol : \( \dfrac{8x-3}{3x}=2 \) On multiplying both sides by 3x , we obtain 8x -3 = 6x 8x – 6x = 3 2x = 3 \( x=\dfrac{3}{2} \) Question 2 : Solve : \( \dfrac{9x}{7-6x}=15 \) Sol : …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.5 Question 1 : Solve the linear equation \( \dfrac{x}{2}-\dfrac{1}{5}=\dfrac{x}{3}+\dfrac{1}{4} \) Sol : \( \dfrac{x}{2}-\dfrac{1}{5}=\dfrac{x}{3}+\dfrac{1}{4} \) L.C.M of the denominators 2, 3, 4, and 5 is 60 Multiplying both sides by 60 , we obtain \( \begin{align*}60\bigg(\dfrac{x}{2}-\dfrac{1}{5}\bigg)&=60\bigg(\dfrac{x}{3}+\dfrac{1}{4}\bigg)\\30x-12&=20x+15\\30x-20x&=15+12\\10x&=27\\x&=\dfrac{27}{10}\end{align*} \) Question 2 : Solve the linear equation \( …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.4 Question 1: Amina thinks a number and subtracts \( \dfrac{5}{2} \) from it . She multiplies the result by 8. The result now obtained is 3 times the same number she thought of . What is the number ? Sol : Let the number be x . …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 EXERCISE 2.2 Question 1 : If you subtract \( \dfrac{1}{2} \) from a number and multiply the result by \( \dfrac{1}{2} \) , you get \( \dfrac{1}{8} \). What is the number ? sol : Let the number be x . According to the question , \( \bigg(x-\dfrac{1}{2}\bigg)\times\dfrac{1}{2}=\dfrac{1}{8} \) On multiplying …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 EXERCISE 2.3 Question 1 : Solve and check result : 3x = 2x + 18 Sol : 3x = 2x + 18 On transposing 2x to L.H.S , we obtain 3x – 2x = 18 x = 18 L.H.S \( \begin{align*}&=3x\\&=3\times{}18\\&=54\end{align*} \) R.H.S \( \begin{align*}&=2x+18\\&=2\times{18}+18\\&=36+18\\&=54\end{align*} \) L.H.S = R.H.S Hence, …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 EXERCISE 2.1 Question 1 : Solve : x – 2=7 sol : x – 2=7 On transposing 2 to R.H.S , we obtain x = 7 + 2 x = 9 Question 2 : Solve : y+3=10 sol : y+3=10 On transposing 3 to R.H.S , we …
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Exercise 1.1 Exercise 1.2 EXERCISE 1.2 Question 1 : Represent these numbers on the number line. (i) Sol: can be represented on the number line as follows. (ii) Sol : can be represented on the number line as follows. Question 2 : Represent on the number line. can be represented on the number …
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Exercise 1.1 Exercise 1.2 EXERCISE 1.1 Question 1 Using appropriate properties find . (i) sol : = 2 (ii) sol : Question 2 : Write the additive inverse of each of the following : (i) sol : Additive inverse= (ii) sol : Additive inverse= (iii) sol : Additive inverse= (iv) sol : …
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Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) COMPARING QUANTITIES EXERCISE 9(A) QUESTION 1 Express each of the following ratios in the simplest form: (a) 3 kg 500 g : 4 kg 250 g Sol : As we know that , 1 kg = 1000 g so , 3 kg 500 g can be …
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RATIONAL NUMBERS EXERCISE 2(A) 1.Using properties find: (a) Sol : using property Take L.C.M of 14 and 56 is 56 2 14 , 56 2 4 , 28 2 2, 14 7 1, 7 1, 1 Take L.C.M of 7 and 8 is 56 2 7 , 8 2 7 , 4 2 7 , …
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CUBE AND CUBE ROOTS EXERCISE 8(A) 1.Find the cubes of : (a) 2.4 (b) 0.2.5 (c) 40 (d) 51 (e) 1.4 (f) 0.09 (g) \( 3\dfrac{7}{4} \) (h) \( \dfrac{6}{7} \) (i) \( 2\dfrac{18}{11} \) (j) \( 1\dfrac{6}{17} \) 2.Which of the following are perfect cubes ? (a) 200 (b) 9261 (c) 64 (d) 4095 (e) 864 3.Which …
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SQUARES AND SQUARE ROOTS EXERCISE 7(A) 1.Write the unit’s digits of the following numbers: (a)93 (b)72 (c)546 (d)931 2.Without actual squaring find the value of: (a)\( 22^2-21^2 \) (b)\( 685^2-684^2 \) (c)\( 108^2-107^2 \) 3.Which of the following numbers are the squares of odd numbers ? (a)9 (b)225 (c)1089 (d)7395 4.Which of the …
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PROFIT,LOSS AND DISCOUNT EXERCISE 8 (A) QUESTION 1 A peon purchased a chair for ₹ 700, spent ₹ 170 on its repair and ₹ 30 on the cartage.If he sold the chair for ₹ 1080, what is his gain percent ? Sol : Cost price of chair = 700 + 170 + 30 = 900 …
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PERCENTAGE EXERCISE 7 (A) QUESTION 1 Write each of these percentages as a fraction and a decimal. (i) 15% Sol : = 0.15 (ii) 84% Sol : = 0.84 (iii) 12.5% Sol : = 0.125 (iv) 120% Sol : = 1.2 (v) Sol : = 0.33 QUESTION 2 Write each of the following as percentages. …
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PLAYING WITH NUMBERS EXERCISE 5 (A) QUESTION 1 The sum of the digits of a 2 digit number is 9.The numbers is 6 times the unit digit.Find the number. Sol : The sum of two digit number is 9. Where u is unit digit and t is ten’s place digit . t + u = …
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CUBE AND CUBE ROOTS EXERCISE 4 (A) 1.Write (T) for True or (F) for false: (i) The cube root of 8000 is 200. (ii) Each prime factor appears 3 times in its cube. (iii) \( \sqrt[3]{27+64}=\sqrt[3]{27}+\sqrt[3]{64} \) (iv) For an integer a, \( a^3 \) is always greater than \( a^2 \). (v) The least number by …
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CUBE AND CUBE ROOTS EXERCISE (A) 1.Find the cube of : (a) 2.4 (b) 0.25 (c) 40 (d) 51 (e) 1.4 (f) 0.09 (g) \( 3\dfrac{4}{5} \) (h) \( \dfrac{6}{7} \) (i) \( 2\dfrac{8}{11} \) (j) \( 1\dfrac{6}{17} \) 2.Which of the following are perfect cubes ? (a) 200 (b) 9261 (c) 64 (d) 4095 (e) 864 3.Which …
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Square and Square root EXERCISE (A) 1.Write the unit’s digits of the squares of the following numbers. (a) 93 (b) 72 (c) 546 (d) 931 2.Without actual squaring find the value of: (a) \( 22^2-21^2 \) (b)\( 685^2-684^2 \) (c) \( 108^2-107^2 \) 3.Which of the following numbers are the squares of odd numbers. (a) 9 (b) 225 (c) 1089 (d) 7395 4.Which of …
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Square and Square root Exercise 3 (A) 1.Find the square of the following numbers : (i) 15 (ii) 48 (iii) \( \dfrac{6}{7} \) (iv) \( \dfrac{21}{25} \) (v) \( 6\dfrac{3}{8} \) (vi) 0.9 (vii) 1.1 (viii) 0.018 2.Determine whether square of the following numbers will be even or odd.(Do not find the square) (i) 529 (ii) 30976 (iii) 893025 (iv) 6990736 3.Just by looking at …
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