State whether the following statements are True or False.
(a) The sum of three odd numbers is even
(b) The sum of two odd numbers and one even number is even
(c) The product of three odd numbers is odd
(d) If an even number is divided by 2, the quotient is always odd
(e) All prime numbers are odd
(f) Prime numbers do not have any factors
(g) Sum of two prime numbers is always even
(h) 2 is only the even prime number
(i) All even numbers are composite numbers
(j) The product of any two even numbers is always even

Solution:

We will be using the concepts of even numbers, odd numbers, composite numbers, and prime numbers to solve this.

(а) False [For example, 3 + 5 + 7 = 15 , which is an odd number]

(b) True [For example, 3 + 5 + 6 = 14, which is an even number]

(c) True [For example, 5 × 7 × 9 = 315, which is an odd number]

(d) False [For example, 36 ÷ 2 = 18, which is an even number]

(e) False [2 is a prime number, but it is even]

(f) False [For example, 3 is a prime number having 1 and 3 as its factors]

(g) False [For example, 7 + 2 = 9, which is an odd number]

(h) True [2 is even and the lowest prime number]

(i) False [2 is even but not composite number]

(j) True [For example, 4 × 6 = 24, which is an even number]

NCERT Solutions Class 6 Maths Chapter 2 Exercise 3.2 Question 2

State whether the following statements are True or False. (a) The sum of three odd numbers is even. (b) The sum of two odd numbers and one even number is even. (c) The product of three odd numbers is odd. (d) If an even number is divided by 2, the quotient is always odd. (e) All prime numbers are odd. (f) Prime numbers do not have any factors. (g) Sum of two prime numbers is always even. (h) 2 is only the even prime number. (i) All even numbers are composite numbers. (j) The product of any two even numbers is always even.

Summary:

(а) It is a false statement. (b) It is a true statement. (c) It is a true statement. (d) It is a false statement. (e) It is a false statement. (f) It is a false statement. (g) It is a false statement. (h) It is a true statement. (i) It is a false statement. (j) It is a true statement.

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