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Question

Which of the following is a perfect square number?


  1. 1057

  2. 9801

  3. 23453

  4. 222222


Solution

The correct option is B

9801


No perfect square ends with 2, 3 or 7 in their unit place.

9801 is the only option left.

On prime factorizing 9801, we will get

9801= 3 x3 x 3 x 3 x 11 x 11

3 and 11 both occur even number of times in the expansion of 9801.

Thus, 9801 is a perfect square with square root 99. 

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