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Meera says: 'Every number of the form 4k + 3 cannot be a perfect square.'
Using this, decide which of the following can NOT be a perfect square: 43, 63, 75, 99.
How many of these four numbers can NOT be perfect squares?

Class 8Properties of Square NumbersSquares and Roots
  • A3
  • B8
  • C4
  • D5

Step-by-Step Solution

43 = 4(10)+3, 63 = 4(15)+3, 75 = 4(18)+3, 99 = 4(24)+3. All four are of the form 4k+3, so none can be a perfect square. Answer: 4.
Answer: C) 4

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