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# Which of the following is a perfect square?

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Math Expert
Joined: 02 Sep 2009
Posts: 49303
Which of the following is a perfect square?  [#permalink]

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09 Sep 2017, 08:00
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Difficulty:

25% (medium)

Question Stats:

83% (00:36) correct 17% (01:14) wrong based on 92 sessions

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Which of the following is a perfect square?

A. 55,225
B. 55,235
C. 55,245
D. 55,255
E. 55,295

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Joined: 02 Nov 2015
Posts: 167
GMAT 1: 640 Q49 V29
Re: Which of the following is a perfect square?  [#permalink]

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09 Sep 2017, 08:22
The initial two digits are same for all. The last three are different. So 225 is a perfect square.
Hence A.

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Re: Which of the following is a perfect square?  [#permalink]

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09 Sep 2017, 08:22
Bunuel wrote:
Which of the following is a perfect square?

A. 55,225
B. 55,235
C. 55,245
D. 55,255
E. 55,295

$$5$$ is a prime number which will divide the answer option
A perfect square will have to be have a power of 2 for every prime factor,
so $$5^2(25)$$ divides this number.

Of the options available, Only Option A(55225) is a number which 25 divides!
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Which of the following is a perfect square?  [#permalink]

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09 Sep 2017, 08:42
Bunuel wrote:
Which of the following is a perfect square?

A. 55,225
B. 55,235
C. 55,245
D. 55,255
E. 55,295

Last digit of options are ending in $$5$$. Hence all numbers are divisible by $$5$$

Square of $$5$$ ends in $$25$$

Only option is $$55,225$$

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Joined: 05 Dec 2015
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Re: Which of the following is a perfect square?  [#permalink]

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09 Sep 2017, 10:34
A. 55,225 as only 225 is perfect square among the last three digits of the options.
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Re: Which of the following is a perfect square? &nbs [#permalink] 09 Sep 2017, 10:34
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# Which of the following is a perfect square?

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