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Which of the following is a perfect square?

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

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

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New post 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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New post 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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New post 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 \(55,225\)

Answer (A)...

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

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New post 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?   [#permalink] 09 Sep 2017, 10:34
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