Civil Service Numerical Reasoning Test Percentages and Ratios 2 — Questions and Answers
Question 1: In a survey, 120 out of 400 people agreed with a policy. What percentage agreed?
- 30% (Correct answer)
- 25%
- 35%
- 28%
Correct answer: 30%
(120 ÷ 400) × 100 = 30%.
Question 2: A mixture contains ingredients A and B in a 5:3 ratio. If you need 400g of the mixture, how much of ingredient A is needed?
- 250g (Correct answer)
- 200g
- 150g
- 300g
Correct answer: 250g
Total parts = 8. A's share = (5/8) × 400 = 250g.
Question 3: A department's budget increased from £90,000 to £99,000. What was the percentage increase?
- 10% (Correct answer)
- 9%
- 11%
- 8%
Correct answer: 10%
Increase = £9,000. (9,000 ÷ 90,000) × 100 = 10%.
Question 4: What is 120% of £350?
- £420 (Correct answer)
- £400
- £385
- £450
Correct answer: £420
120% of £350 = 1.20 × 350 = £420.
Question 5: A shop has 180 items. 45 are on sale. What percentage are on sale?
- 25% (Correct answer)
- 20%
- 30%
- 22%
Correct answer: 25%
(45 ÷ 180) × 100 = 25%.
Question 6: Two projects share costs in a ratio of 4:6. If the total cost is £5,000, how much does the smaller project bear?
- £2,000 (Correct answer)
- £2,500
- £3,000
- £1,500
Correct answer: £2,000
Total parts = 10. Smaller share (4 parts) = (4/10) × £5,000 = £2,000.
Civil Service Numerical Reasoning Test Percentages and Ratios 2
In a survey, 120 out of 400 people agreed with a policy.
What percentage agreed?