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NDA 2018

Exam: NDA
Year: 2018
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2018 · Mathematics · Basics of Mathematics

What is the greatest integer among the following by which the...

What is the greatest integer among the following by which the number

5^5+7^5

is divisible?

Options

A6
B8
C11
D12

Correct answer

D. 12

Step-by-step solution

We know,

\mathrma^{\mathrm{n}}+\mathrmb^{\mathrm{n}}

is divisible by

(\mathrm{a}+\mathrm{b})

, if n is odd. Here,

\mathrm{n}=5

is odd

\therefore 5^5+7^5

is divisible by

5+7=12

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