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Question

Seeing the value of the digit at unit's place, state which of the following can be square of a number :

A
3051
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B
2332
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C
5684
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D
6908
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E
50699
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F
920546
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Solution

The correct options are
A 3051
C 5684
E 50699
F 920546
The square of the numbers must end with any of the digits 0, 1, 4, 5, 6 or 9.
Example:-
12=1
122=144
132=139
52=25
Also, a perfect square has even number of zeros at the end. Example :- 100,400,640000.
(A)Here, the number is 3051.
The unit's digit is 1. Thus, It can be a perfect square.
(B)Here, the number is 2332.
The unit's digit is 2. Thus, It cannot be a perfect square.
(C)Here, the number is 5684.
The unit's digit is 4. Thus, It can be a perfect square.
(D)Here, the number is 56908.
The unit's digit is 8. Thus, It cannot be a perfect square.
(E)Here, the number is 50699.
The unit's digit is 9. Thus, It can be a perfect square.
(F)Here, the number is 920546.
The unit's digit is 6. Thus, It can be a perfect square.

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