CUET UG 2025 — General Test Arithmetic

2025mcqmedium

If a certain sum becomes three times in 4 years at compound interest, then in how many years, will it become 9 times?

Official previous-year question

Held on 22 May 2025 · Verified 13 Jul 2026.

Options

A
12
B
10
C
8
D
6

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Solution

Let the principal amount be $P$ and the growth factor be $(1 + r)$ where $r$ is the rate of interest.

Using the compound interest formula:

$A = P(1 + r)^t$

When the amount becomes 3 times in 4 years:

$3P = P(1 + r)^4$

$3 = (1 + r)^4$

For the amount to become 9 times after $n$ years:

$9P = P(1 + r)^n$

$9 = (1 + r)^n$

Notice that $9 = 3^2$ :

$9 = 3^2$

$9 = [(1 + r)^4]^2$

$9 = (1 + r)^{4 \times 2}$

$9 = (1 + r)^8$

Comparing $9 = (1 + r)^n$ with $9 = (1 + r)^8$ :

$n = 8$

Therefore, the amount will become 9 times in 8 years.

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Solution

Let the principal amount be $P$ and the growth factor be $(1 + r)$ where $r$ is the rate of interest.

Using the compound interest formula:

$A = P(1 + r)^t$

When the amount becomes 3 times in 4 years:

$3P = P(1 + r)^4$

$3 = (1 + r)^4$

For the amount to become 9 times after $n$ years:

$9P = P(1 + r)^n$

$9 = (1 + r)^n$

Notice that $9 = 3^2$ :

$9 = 3^2$

$9 = [(1 + r)^4]^2$

$9 = (1 + r)^{4 \times 2}$

$9 = (1 + r)^8$

Comparing $9 = (1 + r)^n$ with $9 = (1 + r)^8$ :

$n = 8$

Therefore, the amount will become 9 times in 8 years.

CUET UG 2025 — General Test Arithmetic

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Solution

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CUET UG 2025 — General Test Arithmetic

Options

Did you get this right?

Solution

Your note

CUET UG Arithmetic in other years

More CUET UG Arithmetic questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Quantitative Reasoning

Geometry

Current Affairs

Keep practicing Arithmetic