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If it is possible to make a number which...

If it is possible to make a number which is a perfect square of two-digit odd number with the second, the sixth and the ninth digits of the number 187642539, which of the following is the digit in the unit's place of that two-digit odd number ?
1) 1
2) 7
3) 9
4) No such number can be made
5) More than one such number can be made

A

1

B

7

C

9

D

No such number can be made

Text Solution

Verified by Experts

The correct Answer is:
B
Given number
The second, sixth and ninth digits
= 8, 2 and 9 respectively
Possible three-digit numbers formed with these
digits = 829, 892 , 289, 298, 928 and 982
But perfect square= 289 only i.e `(17)^2`
So, Required two digit odd number = 17
Therefore, Unit.s place digit of .17. = 7.
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