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# Which of the following cannot be the square of an integer

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Joined: 17 Jun 2014
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Which of the following cannot be the square of an integer  [#permalink]

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Updated on: 21 Aug 2019, 23:15
2
3
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Difficulty:

5% (low)

Question Stats:

78% (00:41) correct 22% (01:20) wrong based on 102 sessions

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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

Unfortunately i dont have the answer,can some one help me out with a quick method.I tried solving by looking at the units digit.
I narrowed down to E.

Originally posted by ankitaprsd on 05 Sep 2014, 21:47.
Last edited by Bunuel on 21 Aug 2019, 23:15, edited 2 times in total.
Edited the question.
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Posts: 58396
Re: Which of the following cannot be the square of an integer  [#permalink]

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05 Sep 2014, 21:53
4
3
ankitaprsd wrote:
Which of the following cannot be the square of an integer

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

Unfortunately i dont have the answer,can some one help me out with a quick method.I tried solving by looking at the units digit.
I narrowed down to E.

The square of an integer (n^2) can have only the following units digit:
0, if the units digit of n is 0;
1, if the units digit of n is 1 or 9;
4, if the units digit of n is 2 or 8.
5, if the units digit of n is 5;
6, if the units digit of n is 6 or 4;
9, if the units digit of n is 3 or 7.

As, you can see the square of an integer cannot have the units digit of 2, 3, 7, or 8.

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Re: Which of the following cannot be the square of an integer  [#permalink]

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08 Sep 2014, 21:58
ankitaprsd wrote:
Which of the following cannot be the square of an integer

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

Unfortunately i dont have the answer,can some one help me out with a quick method.I tried solving by looking at the units digit.
I narrowed down to E.

Number ending with 8 cannot be a square.

However, had the question be to find "cannot be cube", it would have been tough as cubes can have any digit (0-9) in units place
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Re: Which of the following cannot be the square of an integer  [#permalink]

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20 Jan 2018, 07:43
1
ankitaprsd 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.

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Re: Which of the following cannot be the square of an integer  [#permalink]

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20 Jan 2018, 11:06
ankitaprsd wrote:
Which of the following cannot be the square of an integer

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

Unfortunately i dont have the answer,can some one help me out with a quick method.I tried solving by looking at the units digit.
I narrowed down to E.

A quick glance will enable to narrow down the answer to (D) as none of the square of an integer can have units digit as 8
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Re: Which of the following cannot be the square of an integer  [#permalink]

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27 Jul 2019, 11:51
08 can never be the last 2 digits of a square number. So without doing any calculation mark E.
Re: Which of the following cannot be the square of an integer   [#permalink] 27 Jul 2019, 11:51
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# Which of the following cannot be the square of an integer

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