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AP EAMCET · Maths · Permutation Combination

The number of odd positive divisors of 67500 is

  1. A \(16\)
  2. B \(18\)
  3. C \(20\)
  4. D \(22\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(20\)

Step-by-step Solution

Detailed explanation

\(\because 67500=2^2 \times 5^4 \times 3^3\) No. of divisors \(=(2+1)(4+1)(3+1)=60\) No. of odd positive divisors \(=\frac{60}{(2+1)}=20\)
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