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# Is an integer ‘6’ present in a set of 12 consecutive integers?

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Math Expert
Joined: 02 Sep 2009
Posts: 56272
Is an integer ‘6’ present in a set of 12 consecutive integers?  [#permalink]

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26 Sep 2018, 05:32
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Difficulty:

25% (medium)

Question Stats:

86% (00:52) correct 14% (01:17) wrong based on 25 sessions

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Is an integer ‘6’ present in a set of 12 consecutive integers?

(1) The integer −4 is present in the set.
(2) The integer 5 is present in the set.

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Re: Is an integer ‘6’ present in a set of 12 consecutive integers?  [#permalink]

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26 Sep 2018, 06:34
Bunuel wrote:
Is an integer ‘6’ present in a set of 12 consecutive integers?

(1) The integer −4 is present in the set.
(2) The integer 5 is present in the set.

\Question: Is an integer ‘6’ present in a set of 12 consecutive integers?

Statement 1: The integer −4 is present in the set.

Considering -4 as smallest element of the set of 12 consecutive integers set becomes {-4, -3, -2....5, 6, 7}
Considering -4 as Largest element of the set of 12 consecutive integers set becomes {-4, -5, -6....-14, -15}
in first set 6 is present and in second set 6 is NOT present hence
NOT SUFFICIENT

Statement 2: The integer 5 is present in the set.

Considering 5 as smallest element of the set of 12 consecutive integers set becomes {5, 6, 7.....16}
Considering 5 as Largest element of the set of 12 consecutive integers set becomes {-6, -5, -4.....4, 5}
in first set 6 is present and in second set 6 is NOT present hence
NOT SUFFICIENT

Combining two statements

Set has 12 elements including -4 and 5
Set may be {-4, -3, -2....5, 6, 7} i.e. 6 is present in set
Set may be {-6, -5, -4, -3, -2....3, 4, 5} i.e. 6 is NOT present in set

NOT SUFFICIENT

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Re: Is an integer ‘6’ present in a set of 12 consecutive integers?   [#permalink] 26 Sep 2018, 06:34
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