Last updated at June 13, 2018 by Teachoo

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Ex 3.2, 2State whether the following statements are True or False:(a) The sum of three odd numbers is even.Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, …. Taking any 3 odd numbers and adding them 1 + 3 + 5 = 9 5 + 7 + 9 = 21 11 + 9 + 7 = 27 So sum of three odd number is always odd So, the statement is false Ex 3.2, 2State whether the following statements are True or False:(b) The sum of two odd numbers and one even number is even. Taking any 2 odd numbers and 1 even number and adding them 1 + 3 + 2 = 6 5 + 7 + 4 = 16 9 + 13 + 6 = 28 So sum of 2 odd numbers and 1 even number is always even So, the statement is true Ex 3.2, 2State whether the following statements are True or False:(c) The product of three odd numbers is odd.Taking any 3 odd numbers and multiplying them 1 × 3 × 5 = 15 1 × 3 × 7 = 21 3 × 5 × 7 = 105 The Product of three odd numbers is always odd So, the statement is true Ex 3.2, 2State whether the following statements are True or False:(d) If an even number is divided by 2, the quotient is always odd.Taking any even number and divide it by 2 4/2 = 2 6/2 = 3 8/2 = 4 So, quotient can also be even So, the statement is false Ex 3.2, 2State whether the following statements are True or False:(e) All prime numbers are odd.The Prime number 2 is even So, statement is False Ex 3.2, 2State whether the following statements are True or False:(f) Prime numbers do not have any factors.Prime numbers are those numbers which have only 2 factors So, Prime number have 2 factors So, the statement is false Ex 3.2, 2State whether the following statements are True or False:(g) Sum of two prime numbers is always even.Finding sum of prime numbers 2 + 3 = 5 2 + 5 = 7 3 + 5 = 8 5 + 7 = 12 ∴ Sum can be odd also So, the statement is false Ex 3.2, 2State whether the following statements are True or False:(h) 2 is the only even prime number.2 is the only even prime number Statement is true Ex 3.2, 2State whether the following statements are True or False:(i) All even numbers are composite numbers.2 is an even number And it is prime So, all even numbers are not composite So statement is False Ex 3.2, 2State whether the following statements are True or False:(j) The Product of two even numbers is always even.Taking any two even numbers 2 × 4 = 8 4 × 6 = 24 8 × 10 = 80 They are all even So Product of two even number is always even So statement is True

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.