Mathematics
Grade-8
Easy

Question

Which of the following can be a perfect square?

  1. A number ending in 3 or 7
  2. A number ending with an odd number of zeros
  3. A number ending with an even number of zeros
  4. number ending in 2.

hintHint:

1. Last digit of all the perfect square would be one of the following- 0, 1, 4, 5, 6, 9.
2. For any number ending with 0, its square would end with double the zeros at the end of that number.
3. We will use elimination method to find the correct answer.

The correct answer is: A number ending with an even number of zeros


    From the given options, we know that a perfect square is obtained by multiplying a number by itself.
    Hence, the last digit of all the perfect square would be one of the following- 0, 1, 4, 5, 6, 9
    Hence, options b and c are eliminated.
    We know that for any number ending with 0, its square would end with double the zeros at the end of that number.
    Hence, option d is also eliminated.
    Hence, the correct answer is option a i.e. A number ending with an even number of zeros.

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