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Is \(k\) greater than \(t?\)

Expert replies
Source: — Data Sufficiency |

Re: Is \(k\) greater than \(t?\)

by Brent@GMATPrepNow » Thu May 21, 2020 9:06 am
Gmat_mission wrote:
Thu May 21, 2020 1:50 am
Is \(k\) greater than \(t?\)

(1) \(kt = 24\)

(2) \(k^2 > t^2\)

[spoiler]OA=E[/spoiler]

Source: Official Guide
Target question: Is k greater than t?

When I SCAN the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……

Statements 1 and 2 combined
There are several values of k and t that satisfy BOTH statements. Here are two:
Case a: k = 24 and t = 1. In this case, the answer to the target question is YES, k is greater than t
Case b: k = -24 and t = -1. In this case, the answer to the target question is NO, k is not greater than t
Since we can't answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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