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Question

# Write 'T' for true and 'F' for false statement. (i) Every prime numbner is odd. (ii) Every even number is composite. (iii) The sum of two odd numbers is always odd. (iv) The sum of two even numbers is always even. (v) The HCF of two given numbers is always a factor is their LCM.

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Solution

## (i) F 2 is an even prime number. (ii) F 2 is an even number, but it is not composite. (iii) F The sum of two odd numbers is always even. For example, 9 and 11 are odd numbers, but their sum, i.e. 20, is an even number. (iv) T The sum of two even numbers is always even. For example, 4 and 10 are even numbers, and their sum, i.e. 14, is an even number. (v) T For example, 4 and 6 are two numbers whose H.C.F is 2 and L.C.M. is 12, but 2 is a factor of 12.

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