Without doing any calculation, find the numbers which are surely not perfect squares. - 153
- 257
- 408
- 441
- 153
- 257
- 408
- 441
Solution and Explanation
The perfect squares of a number can end with any of the digits \(0, 1, 4, 5, 6\), or \(9\) at unit's place.
Also, a perfect square will end with even number of zeroes, if any.
(i) Since the number \(153\) has its unit's place digit as \(3\), it is not a perfect square.
(ii) Since the number \(257\) has its unit's place digit as \(7\), it is not a perfect square.
(iii) Since the number \(408\) has its unit's place digit as \(8\), it is not a perfect square.
(iv) Since the number \(441\) has its unit's place digit as \(1\), it is a perfect square.
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