If m is an even integer and n is an odd integer and both are positive numbers, which of the following must be even?

A m²+n²

B mn+n²

C m³+n²

D mn+m²

E None of these

Solution

Correct Answer: Option D

-m জোড় এবং n বিজোড় হলে, mn জোড় হবে
-m জোড় হলে, m² সর্বদা জোড় হবে
-জোড় + জোড় = জোড়
-সুতরাং, mn+m² সর্বদা জোড় হবে

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