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In a class, the maximum score of a student is 80, and the

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In a class, the maximum score of a student is 80, and the

by AAPL » Sun Nov 10, 2019 2:57 pm
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In a class, the maximum score of a student is 80, and the minimum score of a student is 65. If Kevin's score is neither the maximum nor the minimum, is Kevin's score closer to the minimum score?

1) Kevin's score is greater than 70.
2) The difference between the minimum score and Kevin's score is less than the difference between the maximum score and his score.

OA B
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Sun Nov 10, 2019 8:08 pm
AAPL wrote:Manhattan Prep

In a class, the maximum score of a student is 80, and the minimum score of a student is 65. If Kevin's score is neither the maximum nor the minimum, is Kevin's score closer to the minimum score?

1) Kevin's score is greater than 70.
2) The difference between the minimum score and Kevin's score is less than the difference between the maximum score and his score.

OA B
Say Kevin's score is K; thus, we have to ascertain whether K - 65 < 80 - K.

=> 2K < 145 => K< 72.5

Question rephrased: Is Kevin's score less than 72.5?

Let's take each statement one by one.

1) Kevin's score is greater than 70.

Is 70 < K < 72.5, the answer is yes; however, if K > 72.5, the answer is no. Insufficient.

2) The difference between the minimum score and Kevin's score is less than the difference between the maximum score and his score.

K - 65 < 80 - K

Above is the same inequality that we deduced, Sufficient.

The correct answer: B

Hope this helps!

-Jay
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