Vincen wrote: ↑Mon May 31, 2021 8:08 am
What is the value of \(\dfrac{2t + t - x}{t - x}?\)
(1) \(\dfrac{2t}{t - x} = 3\)
(2) \(t - x = 5\)
Answer:
A
Source: Official Guide
Target question: What is the value of (2t + t - x)/(t - x)?
This is a good candidate for REPHRASING the target questions.
We'll use the fact that (
a +
b)/c =
a/c +
b/c
Likewise, (
2t +
t - x)/(t - x) =
2t/(t - x) + (
t - x)/(t - x)
= 2t/(t - x) + 1
At this point, we can see that we really just need to find the value of 2t/(t - x)
REPHRASED target question: What is the value of 2t/(t - x)?
Statement 1: 2t/(t - x) = 3
Perfect! This is EXACTLY the information we need!
Since we can answer the
REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: t - x = 5
There are several values of t and x that satisfy statement 2. Here are two:
Case a: t = 5 and x= 0, in which case
2t/(t - x) = 5
Case b: t = 6 and x= 1, in which case
2t/(t - x) = 12/5
Since we cannot answer the
REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Brent Hanneson - Creator of GMATPrepNow.com
