MathRevolution wrote:

Is x>16?

1) x/4 > 4

2) 4/x < 1/4

Target question: Is x > 16? Statement 1: x/4 > 4 Multiply both sides by POSITIVE 4 to get: x > 16

Perfect!!

Since we can answer the

target question with certainty, statement 1 is SUFFICIENT

Statement 2: 4/x < 1/4 Multiply both sides by POSITIVE 4 to get: 16/x < 1

NOTE: we must avoid the temptation to multiply both sides by x to get: 16 < x. Doing so would be incorrect since we don't know whether x is POSITIVE or NEGATIVE.

Aside: for more on this, see our free video here:

https://www.gmatprepnow.com/module/gmat ... /video/979 There are several values of x that satisfy statement the fact that 16/x < 1. Here are two:

Case a: x = 20, in which case

x > 16Case b: x = -1, in which case

x < 16Since we cannot answer the

target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,

Brent

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Brent Hanneson – GMATPrepNow.com

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