This is an interesting one. I assume it's clear that neither statement is enough on its own. Let's look at both together, starting with Statement 2.smclean23 wrote:If k and n are integers, is n divisible by 7?
1. n-3=2k
2. 2k-4 is divisible by 7.
Answer is C, both statements are sufficient......
PLEASE HELP ME!
This question is partly testing whether you know that multiples of seven are seven apart: ...-14, -7, 0, 7, 14, ...
If you know, for example, that z is divisible by 7, then you can be certain that z + 7 is also divisible by 7, and that z - 7 is also divisible by 7.
From Statement 2), we know that 2k-4 is divisible by 7. Well, then (2k - 4) + 7 = 2k + 3 must also be divisible by 7. But, from Statement 1, n = 2k +3. So n must be divisible by 7.
C.
