Q55 / 160 · AP EAMCET 2023 (18 May Shift 1) · Mathematics

The number of odd positive divisors of 67500 is

A
$16$
B
$18$
Correct answer
C
$20$
D
$22$

Solution

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

Hence, the correct answer is option: 'C'.

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