## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 5 Sets Objective Type Questions

**Mental Maths**

Question 1.

Fill in the blanks:

(i) If x is not a member of the set A, then symbolically we write it as ……..

(ii) Each element of a set is listed once and only ……….. repetitions are removed.

(iii) A set that contains a limited number of different elements is called a ……… set.

(iv) Two finite sets are called equivalent if and only if they have ………. a number of elements.

Solution:

Question 2.

State whether the following statements are true (T) or false (F):

(i) A collection of books is a set.

(ii) If X = {letters of the word PRINCIPAL}, then the cardinal number of set X is 9.

(iii) If P = {letters of the word AHMEDABAD}, then n(P) = 6.

(iv) If A is any set, then A ⊂ A.

(v) An empty set is a subset of every set.

(vi) If set A = {0}, then n{A} = 0.

(vii) If A and B are two sets such that A ⇔ B, then A = B.

Solution:

**Multiple Choice Questions**

Choose the correct answer from the given four options (3 to 9):

Question 3.

Which of the following collection forms a set?

(a) Collection of 5 odd prime numbers

(b) Collection of 3 most intelligent students of your class

(c) Collection of 4 vowels of the English alphabet

(d) Collection of first 6 months of a year.

Solution:

Question 4.

The tabular form for the statement ‘Days of the week starting with the letter T’ will be

(a) {Days of week starting with letter T}

(b) {Tuesday, Thursday}

(c) {x | x is a day of the week starting with letter T}

(d) none of these

Solution:

Question 5.

A set with a limited number of distinct elements is called

(a) a finite set

(b) an infinite set

(c) both finite as well as an infinite set

(d) none of these

Solution:

Question 6.

The symbol ↔ stands for

(a) belongs to

(b) is a subset of

(c) is equivalent to

(d) none of these

Solution:

Question 7.

The empty set is denoted as

(a) {Φ}

(b) { }

(c) {0}

(d) 0

Solution:

Question 8.

The cardinal number n(A) = for A = {x : x is an odd prime number less than 20} is

(a) 8

(b) 7

(c) 9

(d) 10

Solution:

Question 9.

If A = {x | x is a positive mutliple of 3 less than 20} and B = {x | x is a prime number less than 20}, then n(A) + n(B) is

(a) 6

(b) 8

(c) 13

(d) 14

Solution: