If P: Q: R = 2:3:4, then find: P/Q:Q/R:R/P Option 1: 9 : 8 : 24 Option 2: 8 : 9 : 24 Option 3: 24 : 8 : 9 Option 4: 8 : 24 : 9

Answer: 8 : 9 : 24. Solution: Given: P : Q : R = 2 : 3 : 4 Need to find: P/Q:Q/R:R/P Convert the ratio to actual values by letting: P = 2k Q = 3k R = 4k Calculate each fraction: P/Q = 2k/3k P/Q = 2/3 Q/R = 3k/4k Q/R = 3/4 R/P = 4k/2k R/P = 2 The ratio is: 2/3 : 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: 2/3 x 12 = 8 3/4 x 12 = 9 2 x 12 = 24 Therefore, P/Q:Q/R:R/P = 8:9:24

Arithmetic

Ratio, Proportion & Variation

Medium

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

9 : 8 : 24

8 : 9 : 24

24 : 8 : 9

8 : 24 : 9

✅ Correct Option: 2

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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If P: Q: R = 2:3:4, then find: PQ:QR:RP\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}QP​:RQ​:PR​

Solution

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CUET General Test Past Year Questions (Topic-Wise)

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