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AP EAMCET202318 May 2023Evening ShiftMathematicsPermutation and CombinationActual

The numbers of positive even divisors of 6300 is

Options

  1. A30
  2. B24
  3. C18
  4. D36

Correct answer

D. 36

Step-by-step solution

6300=2^2 3^2 5^2 1 No. of divisors =(2+1)(2+1)(2+1)(1+1)=54 No. of odd divisors =(2+1)(2+1)(1+1)=18 No. of even divisors =54-18=36

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