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Question

# 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 the only even prime number. (i) All even numbers are composite numbers. (j) The product of two even numbers is always even.

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Solution

## (a) False 3 + 5 + 7 = 15, i.e., odd (b) True 3 + 5 + 6 = 14, i.e., even (c) True 3 × 5 × 7 = 105, i.e., odd (d) False 4 ÷ 2 = 2, i.e., even (e) False 2 is a prime number and it is also even (f) False 1 and the number itself are factors of the number (g) False 2 + 3 = 5, i.e., odd (h) True (i) False 2 is a prime number (j) True 2 × 4 = 8, i.e., even

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