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If x = y^2, and x and y are positive integers, which of the following

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If x = y^2, and x and y are positive integers, which of the following [#permalink]

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New post 19 Apr 2016, 02:03
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If x = y^2, and x and y are positive integers, which of the following could be the value of x?

A. 24,336
B. 36,847
C. 42,007
D. 49,003
E. 64,643
[Reveal] Spoiler: OA

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Re: If x = y^2, and x and y are positive integers, which of the following [#permalink]

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New post 19 Apr 2016, 03:02
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A square of an integer can have units digit as 0, 1, 4, 5, 6, 9.

B, C, D and E do not have the units digit as 0, 1, 4, 5, 6 or 9. Only option A has the units digit as 6.

Answer: A
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If x = y^2, and x and y are positive integers, which of the following [#permalink]

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New post 19 Apr 2016, 10:06
This problem can be solved at a glance if one is through with Property of square Numbers

For a square number the units digit will always be - {0, 1,4,5,6,9 }

Among the options given only option A has units digit 6, hence this is the correct answer. :-D :lol:
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Re: If x = y^2, and x and y are positive integers, which of the following [#permalink]

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New post 19 Apr 2016, 13:46
Square of an integer can have units digit as 0, 1, 4, 5, 6, 9 only.

The trick to this answer is knowing the squares of numbers 0 to 9 as square of any number, however large, will have a units digit among 0, 1, 4, 5, 6 and 9

2347^2 = (2340 + 7)^2
524623^2=(524620 + 3)^2
Options B, C, D and E do not have the units digit as 0, 1, 4, 5, 6 or 9. Only option A has the units digit as 6.

Correct Option: A
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Re: If x = y^2, and x and y are positive integers, which of the following [#permalink]

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New post 25 May 2017, 11:02
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Re: If x = y^2, and x and y are positive integers, which of the following   [#permalink] 25 May 2017, 11:02
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