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# If x is a positive integer, which of the following could NOT be the sq

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Manager
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If x is a positive integer, which of the following could NOT be the sq [#permalink]

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21 Mar 2011, 22:06
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If x is a positive integer, which of the following could NOT be the square of x?

(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752
[Reveal] Spoiler: OA
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Kudos [?]: 1824 [0], given: 376

Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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22 Mar 2011, 01:58
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dreambeliever wrote:
If x is a positive integer, which of the following could NOT be the square of x?

(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752

A number ending with 2 can never be a perfect square.

Units digit of a perfect square must be:
1*1=1
2*2=4
3*3=9
4*4=6
5*5=5
6*6=6
7*7=9
8*8=4
9*9=1

1,4,9,6,5

Ans: "E"
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Kudos [?]: 533 [0], given: 36

Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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22 Mar 2011, 03:16
The answer is E; reasoning is same as suggested by fluke.
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Manager
Joined: 24 Nov 2010
Posts: 210
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 83 [0], given: 7

Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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22 Mar 2011, 08:32
OA is E.

Posted from my mobile device
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Kudos [?]: 195 [0], given: 13

Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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22 Mar 2011, 23:31
Answer is E , just to add: Fluke missed a 0 in his list(more precisely, a double zero)
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Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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20 Apr 2011, 16:33

unit digit of a perfect square integer has to be 0,1,4,9,6,5 and the digit thats ending with 2 can never be a perfect square.
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Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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30 May 2016, 04:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x is a positive integer, which of the following could NOT be the sq [#permalink]

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30 May 2016, 04:57
dreambeliever wrote:
If x is a positive integer, which of the following could NOT be the square of x?

(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752

A perfect square will never end in 2, 3, 7 or 8. (last digit cannot be 2, 3, 7 or 8)

Here E is the odd one out.

Re: If x is a positive integer, which of the following could NOT be the sq   [#permalink] 30 May 2016, 04:57
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