Question

37. If m is an even integer, then which one of the following is the sum of the next two even integers greater
than 4m+1?
A. 8m+2
B. 8m+4
C. 8m+6
D. 8m+8
E. 8m +10​

Answer 1

Answer:

Since 4 is even, we know that 4m is EVEN, which means 4m + 1 is ODD.

So, the first even integer after 4m + 1 will be (4m + 1) + 1 (aka 4m + 2)

The next even integer after 4m + 2 will be (4m + 2) + 2 (aka 4m + 4)

So, the sum of the next two even integers greater than 4m + 1 = (4m + 2) + (4m + 4) = 8m + 6

Answer: C