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# The integer a is greater than 1 and is not equal to the square

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Math Expert
Joined: 02 Sep 2009
Posts: 55801
The integer a is greater than 1 and is not equal to the square  [#permalink]

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23 May 2019, 03:39
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:51) correct 23% (01:47) wrong based on 25 sessions

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The integer a is greater than 1 and is not equal to the square of an integer. Which of the following answer choices could potentially be equal to the square of an integer?

I. $$a^2- 1$$

II. $$a^2+ 1$$

III. $$a^2- a$$

A. I only
B. II only
C. III only
D. I and III only
E. None

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Joined: 28 Jun 2016
Posts: 216
Concentration: Operations, Entrepreneurship
Re: The integer a is greater than 1 and is not equal to the square  [#permalink]

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23 May 2019, 10:53
I & II. Consecutive numbers cannot be squares

III. a(a-1) ---> Product of two consecutive numbers cannot be squares

IMO. E

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Re: The integer a is greater than 1 and is not equal to the square   [#permalink] 23 May 2019, 10:53
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