7^ 2 n +3^ n-1 2^ 3 n-3 is divisible by: - Vidyadip

MCQ

$7^{2 n}+3^{n-1} \cdot 2^{3 n-3}$ is divisible by:

A
24
✓
25
C
9
D
13

✓

Answer

Correct option: B.

25

25

Solution:
Let $\mathrm{P}(1)=7^{2 \mathrm{n}}+3^{n-1} \cdot 2^{3 n-3}$
$P(1)=50 \Rightarrow$ Divisible by 25

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