Revelian Test Numerical Reasoning Word Problems 5 — Questions and Answers
Question 1: A flight has 200 seats: 20% are business class and the rest economy. If 90% of economy and 75% of business seats are sold, how many seats are sold in total?
- 174 (Correct answer)
- 180
- 186
- 192
Correct answer: 174
Business = 40 seats; economy = 160; sold = 40×0.75 + 160×0.90 = 30 + 144 = 174.
Question 2: A company spends 35% of its $800,000 budget on salaries, 25% on operations, and saves the rest. How much is saved?
- $240,000
- $280,000
- $300,000
- $320,000 (Correct answer)
Correct answer: $320,000
Spent = 60%; saved = 40% of $800,000 = $320,000.
Question 3: A car depreciates 15% per year. If it is worth $34,000 today, what will it be worth in 2 years?
- $24,480
- $24,565 (Correct answer)
- $24,990
- $25,160
Correct answer: $24,565
After year 1: $34,000 × 0.85 = $28,900; after year 2: $28,900 × 0.85 = $24,565.
Question 4: Three workers can paint a house in 6 days. How many days would it take 2 workers at the same individual rate?
- 7 days
- 8 days
- 9 days (Correct answer)
- 10 days
Correct answer: 9 days
Total work = 3 × 6 = 18 worker-days; with 2 workers: 18 ÷ 2 = 9 days.
Question 5: A store buys goods for $450 and sells them for $585. What is the profit margin as a percentage of the selling price?
- 23.1% (Correct answer)
- 25%
- 27.5%
- 30%
Correct answer: 23.1%
Profit = $585 − $450 = $135; margin = ($135 ÷ $585) × 100 = 23.1%.
Question 6: A 500 ml solution is 8% saline. How many ml of pure saline must be added to make it a 12% solution?
- 20 ml
- 22.7 ml (Correct answer)
- 25 ml
- 27.5 ml
Correct answer: 22.7 ml
Saline = 40 ml; (40+x)/(500+x) = 0.12 → 40+x = 60+0.12x → 0.88x = 20 → x ≈ 22.7 ml.
Question 7: A retailer bought 200 items at $12 each. She sold 160 at $18 each and the remaining 40 at 50% off the retail price. What is the total profit?
- $480
- $600
- $720
- $840 (Correct answer)
Correct answer: $840
Cost = $2,400; revenue = 160×$18 + 40×$9 = $2,880 + $360 = $3,240; profit = $3,240 − $2,400 = $840.
Revelian Test Numerical Reasoning Word Problems 5
A flight has 200 seats: 20% are business class and the rest economy.
If 90% of economy and 75% of business seats are sold, how many seats are sold in total?