If the position of the second and the third digits of each of the numbers are interchanged, in how many numbers thus formed will the last digit be
a perfect square ?('1' is also a perfect square )

Solution

After interchanging the position of second and third digit of numbers we get, 621,598,734,486,279. Only in 621,279 and 734, last digit is a perfect square and hence, the answer is option C.

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If the position of the second and the third digits of each of the numbers are interchanged, in how many numbers thus formed will the last digit bea perfect square ?('1' is also a perfect square )

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If the position of the second and the third digits of each of the numbers are interchanged, in how many numbers thus formed will the last digit be
a perfect square ?('1' is also a perfect square )