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Which one of the following can't be the square of natural number ?

  • A.30976
  • B.75625
  • C.28561
  • D.143642
  • E.None of these

Answer: D

A perfect square never ends in 2, 3, 7 or 8.

\[ 143642 \text{ ends in } 2 \]

so it cannot be a square. The last digit of a square is always 0, 1, 4, 5, 6 or 9 - a single glance settles this without any arithmetic.

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