Ratio, Proportion, Indices, LogarithmMCQMTP May 20Question 900 of 305

$\displaystyle 5^{16} + 125^5$ is divisible by which of the following

\displaystyle 5

\displaystyle 6

\displaystyle 8

\displaystyle 9

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Correct Answer

✅ Option b — $\displaystyle 6$

We are given the expression:

E = 5^{16} + 125^5

We know that

\displaystyle 125 = 5^3

. Substituting this into the expression:

E = 5^{16} + \left( 5^3 \right)^5

E = 5^{16} + 5^{15}

Factoring out

\displaystyle 5^{15}

E = 5^{15} \times (5 + 1)

E = 6 \times 5^{15}

Since

\displaystyle E

can be written as a product of

\displaystyle 6

and the integer

\displaystyle 5^{15}

, it is divisible by

\displaystyle 6

.

Hence, **Option B** is the correct answer.

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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