Hi Vjesus12.If a/b > 4, is a > 8?
(1) b > 2
(2) a > 7
[spoiler]OA=A[/spoiler]
Source: Princeton Review
We need to answer the question: is a > 8?
Statement 1:
If b > 2 and a/b > 4 then we have that $$b\cdot\frac{a}{b}>4\cdot b\ \ >4\cdot2\ \Rightarrow\ \ a\ >8.$$ Hence, the answer is YES. So this statement is SUFFICIENT.(1) b > 2
Statement 2:
Let's take a look at the following cases:(2) a > 7
(i) if a=7.5 and b=1.5 then we have that \( \frac{7.5}{1.5} = 5 > 4\) and \( a < 8\). Here the answer is NO.
(ii) if a=9 and b=2 then we have that \( \frac{9}{2} = 4.5 > 4\) and \( a > 9\). Here the answer is YES.
Since we've got two different answers, we conclude that this statement is NOT SUFFICIENT.
So, the correct answer is the option _A_.
Hope it helps.
