JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

1 of 1

Application +4 | -1

Total number of divisors of

n=3^5 \cdot 5^7 \cdot 7^9

that are of the form

4 \lambda+1, \lambda \geq 0

, is equal to

View answer and explanation

Correct option: A

240

Option A (240) is correct because it accurately calculates the number of divisors of the given form by considering the powers of 3, 5, and 7 that satisfy the condition.

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