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OG If k is an integer such that 56 < k < 66

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by AbeNeedsAnswers » Sun Aug 20, 2017 9:24 pm
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If k is an integer such that 56 < k < 66, what is the value of k ?

(1) If k were divided by 2, the remainder would be 1.
(2) If k + 1 were divided by 3, the remainder would be 0.

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Source: — Data Sufficiency |

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by [email protected] » Mon Aug 21, 2017 1:21 pm
Hi AbeNeedsAnswers,

We're told that K is an INTEGER and that 56 < K < 66. We're asked for the value of k. This question can be solved by TESTing VALUES.

1) If K were divided by 2, the remainder would be 1.

Based on the information in Fact 1, K could be 57, 59, 61, 63 or 65.
Fact 1 is INSUFFICIENT

2) If (K+1) were divided by 3, the remainder would be 0.

Based on the information in Fact 1, K could be 57, 60, or 63.
Fact 2 is INSUFFICIENT

Combined, we can see that there are 2 possibilities that 'fit' both Facts: 57 and 63.
Combined, INSUFFICIENT

Final Answer: E

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