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If it is possible to make a three-digit ...

If it is possible to make a three-digit number which is the perfect square of a two-digit number from the second, the fourth and the eighth digits of the numbers 31792056, using each digit only once, what is the two-digits number ? If the perfect square cannot be formed, your answer is 'N' and if more than one such number can be formed, your answer is 'X'
1) 14
2) 16
3) 12
4) X
5) N

A

14

B

16

C

12

D

X

Text Solution

Verified by Experts

The correct Answer is:
D

The second, fourth and eight digits de bed ste = 1 , 9 and 6 respectively.
The perfect squares that can be formed using
1,9,6 = 169, 196 and 961 i.e `(13)^(2), (14)^2 and (31)^2`
Therefore, our answer is .X..
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Knowledge Check

  • The least 4 digit number which is a perfect square is

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    1024
    B
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    D
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    1000
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    1016
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    D
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