CUET UG 2025 — General Test Arithmetic

2025mcqmedium

If P: Q: R = 2:3:4, then find: $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}$

Official previous-year question

Held on 14 May 2025 · Verified 13 Jul 2026.

Options

A
9 : 8 : 24
B
8 : 9 : 24
C
24 : 8 : 9
D
8 : 24 : 9

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Solution

Given: P : Q : R = 2 : 3 : 4

Need to find: $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}$

Convert the ratio to actual values by letting:

P = 2k

Q = 3k

R = 4k

Calculate each fraction:

$\frac{P}{Q} = \frac{2k}{3k}$

$\frac{P}{Q} = \frac{2}{3}$

$\frac{Q}{R} = \frac{3k}{4k}$

$\frac{Q}{R} = \frac{3}{4}$

$\frac{R}{P} = \frac{4k}{2k}$

$\frac{R}{P} = 2$

The ratio is: $\frac{2}{3} : \frac{3}{4} : 2$

To convert to whole numbers, find the LCM of denominators 3, 4, and 1.

LCM(3, 4, 1) = 12

Multiply each term by 12:

$\frac{2}{3} \times 12 = 8$

$\frac{3}{4} \times 12 = 9$

$2 \times 12 = 24$

Therefore, $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P} = 8:9:24$

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Solution

Given: P : Q : R = 2 : 3 : 4

Need to find: $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}$

Convert the ratio to actual values by letting:

P = 2k

Q = 3k

R = 4k

Calculate each fraction:

$\frac{P}{Q} = \frac{2k}{3k}$

$\frac{P}{Q} = \frac{2}{3}$

$\frac{Q}{R} = \frac{3k}{4k}$

$\frac{Q}{R} = \frac{3}{4}$

$\frac{R}{P} = \frac{4k}{2k}$

$\frac{R}{P} = 2$

The ratio is: $\frac{2}{3} : \frac{3}{4} : 2$

To convert to whole numbers, find the LCM of denominators 3, 4, and 1.

LCM(3, 4, 1) = 12

Multiply each term by 12:

$\frac{2}{3} \times 12 = 8$

$\frac{3}{4} \times 12 = 9$

$2 \times 12 = 24$

Therefore, $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P} = 8:9:24$

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