The number of divisors of ( 2 ^ 6 × 3 ^ 5 × 5 ^ 3 × 7 ^ 2 ), which are of the form ( 3 r + 1 ), where r is a non-negative integer, is

CAT 2025 Slot 2 — QA Question 11

Number TheoryMedium

The number of divisors of $\left( 2 ^ { 6 } \times 3 ^ { 5 } \times 5 ^ { 3 } \times 7 ^ { 2 } \right)$ , which are of the form $( 3 r + 1 )$ , where $r$ is a non-negative integer, is

Answer & solution

Correct answer: $ 42 $

$42$
B
$36$
C
$56$
D
$24$

CAT 2025 Slot 2 — QA Question 11

Answer & solution

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