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Is kn < 30?

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by Vincen » Tue Dec 19, 2017 7:32 am
Is kn < 30?

(1) 3 < k < 6 and 5 < n < 8

(2) k + n = 11

The OA is E.

I am confused here. I thought the correct answer should be C. Experts, can you show me why E is the correct answer? Thanks.
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by [email protected] » Tue Dec 19, 2017 12:45 pm
Hi Vincen,

To start, this question should really be posted in the DS Forum here: https://www.beatthegmat.com/data-sufficiency-f7.html

We're asked if (K)(N) is less than 30. This is a YES/NO question. This question can be solved by TESTing VALUES.

1) 3 < K < 6 and 5 < N < 8

IF....
K=4 and N=7, then (4)(7) = 28 and the answer to the question is YES.
K=5 and N=6, then (5)(6) = 30 and the answer to the question is NO.
Fact 1 is SUFFICIENT

2) K+N = 11

IF...
K=4 and N=7, then (4)(7) = 28 and the answer to the question is YES.
K=5 and N=6, then (5)(6) = 30 and the answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we have two TESTs that fit both Facts and produce different answers (one "YES" and one "NO").
Combined, INSUFFICIENT

Final Answer: E

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Rich
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