If p and m are odd integers, then which of the following must be an ev

Question

If p and m are odd integers, then which of the following must be an even integer?

I. 2(p + 2m)
II. p + m
III. 3(3p + 5m)

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III

Abhishek009 · Answer

I. 2(p + 2m)

2m will be Even

Now, Odd + Even = Odd & Odd 2 = Even
 
II. p + m

Odd + Odd = Even

III. 3(3p + 5m)

Odd(Odd*Odd + 5*Odd)

= Odd(Odd + Odd)

= Odd*Even

= Even

Thus , Answer must be (E)

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