AbhishekRyu wrote:If non- negative integers n & p are not both odd, Which of the following must be odd?
A) np
B) np +2
C) 2n+p
D)2(n +p)
E)2( n+p) +1
Given that n & p are not both odd, and non-negative integers, we have one of n and p even and the other is odd. With this information in mind, let's see the options.
A) np: This is a product of an even and an odd integer; note that EVEN * ODD = EVEN
B) np + 2: EVEN + EVEN = EVEN
C) 2n + p: EVEN * ? + ? => note that product of two evens and product of even and odd is even, thus, EVEN * ? + ? = EVEN + ?.
If ? or p is EVEN, 2n + p is EVEN
D) 2(n + p): EVEN * (n + p) => Product of EVEN and EVEN or ODD is EVEN. Thus, 2(n + p) = EVEN
E) 2(n + p) + 1: EVEN + ODD = ODD. Correct answer.
The correct answer:
E
Hope this helps!
-Jay
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