# S.chand books class 8 maths solution chapter 6 Sets exercise 6A

## 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) {The set of multiples of ten}

(ix) {The set of points on a line segment}.

(x) {The set of grains of sand in a small bottle}.

2.Which of the following are singleton sets?

(i) {Capital of India}

(ii) {Mountain peaks more than 800 m high}.

(iii) {}

(iv) {}

3.State which of the following are empty sets ?

(i) {Odd numbers divisible by 2}

(ii) {Prime numbers which are even}.

(iii) {Cubes with 8 faces}.

(iv) {}

(v) {Days with 1440 minutes}.

4.State the cardinal number of the following sets.

(i) P={Planets of our solar system}.

(ii)C={Consonants of the English alphabet}

(iii) K={Letters in the word ‘MADAM’}

(iv)A={}

(v) B={Set of numbers whose square is 16}.

(vi)M={}

5.Determine whether the two sets specified below are equivalent.

(i) {a,b,c,d} and {-3, -7, -8, 0}

(ii) {}

(iii) {}

(iv) A={The even integers x between 1 and 9} and B={The negative integers between -8 and -2}

6.State whether the following pairs of sets are equal or not .

(i)

(ii)

(iii)

(iv)

7.From the following pairs of sets, identify the disjoint and overlapping sets.

(i)

(ii)

(iii)

(iv)

8.Tell whether set A is a subset of set B.

(i)

(ii)

(iii)

(iv)

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