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