TS EAMCET · Maths · Permutation Combination
If is the number of all even divisors and is the number of all odd divisors of the number , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given number is 10800 Prime factorisation of 10800 is 24×33×52 The total number of divisors =4+13+12+1 =543 =60 The number of odd divisors =13+12+1 =143 =12 The number of even divisors =60-12 =48 Here., a=48, b=12 ⇒2a+3b=248+312 =96+36 ∴ 2a+3b=132
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