Carcass wrote:
When a,b and c are consecutive positive even integers such that a>b>c, which of the following must be an odd integer?
A.(a−c)2
B.(c−a)2
C.(a+c)2
D.(a+c)4
E.(a−c)4
If a, b and c are consecutive EVEN integers, and a>b>c, then we we know that
b is 2 greater than c, and a is
2 greater than bSo, we can write:
b = c + 2a = c + 4 Now let's check the answer choices from E to A
-----ASIDE----------------
This is one of those questions that require us to check/test each answer choice. In these situations,
always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.
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E) (a - c)/4 = [(
c + 4 ) - (c)]/4
= 4/4
= 1 (ODD!)
Answer: E
Cheers,
Brent