Which of the following cannot be the square of an . . . .

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Which of the following cannot be the square of an integer

A. 275625
B. 385641
C. 227529
D. 261121
E. 426408

The OA is the E.

How can I show that the correct answer is the option E? Can any expert help me?

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by GMATGuruNY » Thu Jan 18, 2018 4:15 am
VJesus12 wrote:Which of the following cannot be the square of an integer

A. 275625
B. 385641
C. 227529
D. 261121
E. 426408
1² = 1.
2² = 4.
3² = 9.
4² = 16.
5² = 25.
6² = 36.
7² = 49.
8² = 64.
9² = 81.
10² = 100.

The units digit for a perfect square must be one of the blue values above:
0, 1, 4, 5, 6, 9.
Since a perfect square cannot have a units digit of 8, option E cannot be a perfect square.

The correct answer is E.
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by DrMaths » Thu Jan 18, 2018 9:13 am
Looking at the last digits only,
$$\sqrt{8}\ is\ irrational$$
Therefore Answer E

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by Scott@TargetTestPrep » Sat Jan 20, 2018 6:15 am
VJesus12 wrote:Which of the following cannot be the square of an integer

A. 275625
B. 385641
C. 227529
D. 261121
E. 426408
The units digit of any perfect square can only be 1, 4, 6, 9, or 0. Thus, 426408 cannot be the square of an integer.

Answer: E

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