Ratio & Proportion

JKSSB Assistant Training Officer (Handicrafts & Handlooms) · Numerical Ability · 106 practice questions with answers and explanations: 61 Easy, 43 Medium, 2 Hard.

Sample questions

Sample Easy question 1

If a:b = 2:3 and c:b = 4:3, find a:c.

  1. 2:1
  2. 1:2
  3. 3:4
  4. 4:3
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Answer: B. With b=3k, a=2k and c=4k, so a:c = 2:4 = 1:2.

Sample Easy question 2

Simplify the ratio 18:24.

  1. 3:4
  2. 2:3
  3. 5:6
  4. 4:5
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Answer: A. Dividing both terms by 6 gives 3:4.

Sample Easy question 3

Find the ratio of 45 minutes to 2 hours.

  1. 1:2
  2. 3:8
  3. 2:5
  4. 1:3
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Answer: B. 2 hours = 120 minutes, so ratio = 45:120 = 3:8.

Sample Medium question 4

If 5 workers can build a wall in 12 days, in how many days will 3 workers build it?

  1. 20
  2. 22
  3. 15
  4. 18
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Answer: A. Total work = 5×12 = 60 worker-days; for 3 workers: 60/3 = 20 days.

Sample Medium question 5

Two numbers are in the ratio 3:5. If 10 is added to both, the ratio becomes 5:7. Find the larger number.

  1. 25
  2. 22
  3. 20
  4. 28
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Answer: A. Solving (3x+10)/(5x+10)=5/7 gives x=5, so numbers are 15 and 25.

Sample Medium question 6

The ratio of incomes of A and B is 4:3 and their expenditures are in ratio 3:2. If each saves Rs. 2000, find A's income.

  1. 7000
  2. 8000
  3. 8500
  4. 7500
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Answer: B. Solving the two equations 4x-3y=2000 and 3x-2y=2000 gives x=2000, so A's income = 4×2000 = 8000.

Sample Hard question 7

A, B, and C invest Rs. 94,000 in a business in the ratio 2:3:4. After 6 months, C withdraws. If the year-end profit is Rs. 20,000, find C's approximate share (profit split by investment × time).

  1. 5000
  2. 6000
  3. 5714
  4. 5500
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Answer: C. Unit-months: A=24, B=36, C=24, total=84. C's share = 20000 × 24/84 ≈ 5714.

Sample Hard question 8

The incomes of A and B are in the ratio 5:7 and their expenditures are in the ratio 3:5. If each saves Rs. 1000, find A's income.

  1. 2400
  2. 2600
  3. 2300
  4. 2500
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Answer: D. Let income = 5x, 7x and expenditure = 3y, 5y. Solving 5x-3y=1000 and 7x-5y=1000 gives x=500, so A's income = 2500.

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