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If k is an integer such that 56 < k < 66, what is the value

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If k is an integer such that 56 < k < 66, what is the value [#permalink] New post 06 Dec 2012, 07:56
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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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Re: If k is an integer such that 56 < k < 66, what is the value [#permalink] New post 06 Dec 2012, 07:59
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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 --> k is an odd number, thus it could be 57, 59, 61, 63, or 65. Not sufficient.

(2) If k + 1 were divided by 3, the remainder would be 0 --> k is 1 less than a multiple of 3, thus it could be 59, 62, or 65. Not sufficient.

(1)+(2) k could still take more than one value: 59 or 65. Not sufficient.

Answer: E.
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Re: If k is an integer such that 56 < k < 66, what is the value   [#permalink] 06 Dec 2012, 07:59
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