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Is √a an integer, what is the value of a?

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Joined: 16 May 2017
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Is √a an integer, what is the value of a?  [#permalink]

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30 Sep 2018, 09:52
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Difficulty:

45% (medium)

Question Stats:

75% (01:28) correct 25% (01:43) wrong based on 12 sessions

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Is √a an integer, what is the value of a?
(1) 1/4 <$$1/\sqrt{a}$$<2/3
(2) The integer is odd.
Math Expert
Joined: 02 Aug 2009
Posts: 6974
Re: Is √a an integer, what is the value of a?  [#permalink]

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30 Sep 2018, 10:10
1
Is √a an integer, what is the value of a?
(1) 1/4 <$$1/\sqrt{a}$$<2/3
Since √a is an integer and 1/√a is between 1/4 and 2/3, it can be 1/3 or 1/2
So √a is 3 or 2
Insufficient

(2) The integer is odd.
Could ve any odd value
Insufficient

Combined
It is 3, so a is 9
Sufficient

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Joined: 02 Sep 2009
Posts: 50009
Re: Is √a an integer, what is the value of a?  [#permalink]

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30 Sep 2018, 20:39
jalice wrote:
Is √a an integer, what is the value of a?
(1) 1/4 <$$1/\sqrt{a}$$<2/3
(2) The integer is odd.

Discussed here: https://gmatclub.com/forum/if-a-1-2-is- ... 40724.html

TOPIC IS LOCKED AND ARCHIVED.
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Re: Is √a an integer, what is the value of a? &nbs [#permalink] 30 Sep 2018, 20:39
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