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# Is y an integer greater than 7?

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
Is y an integer greater than 7?  [#permalink]

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26 Feb 2017, 08:57
00:00

Difficulty:

35% (medium)

Question Stats:

57% (00:56) correct 43% (01:11) wrong based on 28 sessions

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Is y an integer greater than 7?

(1) 6 – y is a positive integer.
(2) 6 + y > 7.2

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Re: Is y an integer greater than 7?  [#permalink]

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26 Feb 2017, 09:48
Bunuel wrote:
Is y an integer greater than 7?

(1) 6 – y is a positive integer.
(2) 6 + y > 7.2

St I
for 6 – y to be a positive integer, 6 > y which means 7 > y ---------Sufficient

St II
6 + y > 7.2
y can be 2 or 3 or 4 or any positive integer > 2 ------------Insufficient

Hence option A is correct
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Is y an integer greater than 7?  [#permalink]

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Updated on: 27 Feb 2017, 17:59
(1) 6 – y is a positive integer.

If 6 - y is a positive integer. Then y has to be an integer from 5 to lower. Therefore, 1 is sufficient.

(2) 6 + y > 7.2
Insufficient

Therefore, answer is A

Originally posted by matthewsmith_89 on 27 Feb 2017, 14:20.
Last edited by matthewsmith_89 on 27 Feb 2017, 17:59, edited 1 time in total.
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Re: Is y an integer greater than 7?  [#permalink]

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27 Feb 2017, 16:38
(1) 6 – y is a positive integer.

Y could be negative thus making the solution a positive integer - therefore A is insufficient.

(2) 6 + y > 7.2

Y can be anything over 1.2 - to infinity. But with statement 1, in which the positive range of Y is between 0 and 5, we can conclude that Y < 7. Therefore - C.
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Re: Is y an integer greater than 7?  [#permalink]

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27 Feb 2017, 18:02
vkotharu
the question asked is y an integer greater than 7? Statement one answers the question. the answer to statement one is no. remember an integer can be a positive or a negative whole number.
Re: Is y an integer greater than 7? &nbs [#permalink] 27 Feb 2017, 18:02
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# Is y an integer greater than 7?

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