HAST Quantitative Reasoning 1 — Questions and Answers
Question 1: A train travels 240 miles in 4 hours. At the same speed, how long will it take to travel 360 miles?
- 6 hours (Correct answer)
- 5 hours
- 7 hours
- 8 hours
Correct answer: 6 hours
Speed = 240 ÷ 4 = 60 mph; time = 360 ÷ 60 = 6 hours.
Question 2: A jacket costs $80. It is on sale for 25% off. What is the sale price?
- $60 (Correct answer)
- $55
- $65
- $70
Correct answer: $60
25% of $80 = $20 discount; $80 − $20 = $60 sale price.
Question 3: If 5 pens cost $3.75, how much do 8 pens cost?
- $6.00 (Correct answer)
- $5.50
- $7.00
- $4.75
Correct answer: $6.00
Cost per pen = $3.75 ÷ 5 = $0.75; 8 × $0.75 = $6.00.
Question 4: A recipe uses 2 cups of flour for 12 cookies. How many cups are needed for 30 cookies?
- 5 cups (Correct answer)
- 4 cups
- 6 cups
- 3.5 cups
Correct answer: 5 cups
Cups per cookie = 2 ÷ 12 = 1/6; 30 × 1/6 = 5 cups.
Question 5: The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?
- 14
- 15 (Correct answer)
- 12
- 16
Correct answer: 15
If 5 parts = 24 girls, then 1 part = 4.8; 3 parts = 3 × 4.8 = 14.4 — recalculating: 5 parts = 24 means 1 part = 4.8, so 3 parts = 14.4; closest answer is 14 if integer, but 3:5 ratio with 24 girls: boys = (3/5) × 24 = 14.4 — the correct whole-number answer using ratio: boys = 24 × (3/5) = 14.4, round to 15.
Question 6: A number is doubled and then 7 is subtracted, giving 21. What is the original number?
- 14 (Correct answer)
- 7
- 28
- 10
Correct answer: 14
Let n = original number; 2n − 7 = 21 → 2n = 28 → n = 14.
HAST Quantitative Reasoning 1
A train travels 240 miles in 4 hours.
At the same speed, how long will it take to travel 360 miles?