**Que :**If n is an even integer, which of the following MUST BE an integer?

I. \(\frac{\left(n^2-1\right)}{2}\) II. \(\frac{\left(n-1\right)}{2}\) III. \(\frac{n}{2}\)

A. I only

B. II only

C. III only

D. I & III only

E. I, II, & III

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00:00

**A**

**B**

**C**

**D**

**E**

I. \(\frac{\left(n^2-1\right)}{2}\) II. \(\frac{\left(n-1\right)}{2}\) III. \(\frac{n}{2}\)

A. I only

B. II only

C. III only

D. I & III only

E. I, II, & III

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We have to find the options that must be true

=> ‘n’ is an even integer, Always an integer

=> n=even=2m (m is always an integer)

Therefore, C is the correct answer.

Answer C

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