CMAT Quantitative Techniques 1 — Questions and Answers
Question 1: A train travels 360 km in 4 hours. What is its speed in km/h?
- 80
- 90 (Correct answer)
- 100
- 120
Correct answer: 90
Speed = Distance / Time = 360 / 4 = 90 km/h.
Question 2: If the simple interest on $5,000 at 8% per annum for 3 years is calculated, what is the amount?
- $5,800
- $6,000
- $6,200 (Correct answer)
- $6,400
Correct answer: $6,200
SI = (5000 × 8 × 3) / 100 = $1,200; Amount = 5000 + 1200 = $6,200.
Question 3: What is the compound interest on $10,000 at 10% per annum for 2 years?
- $1,900
- $2,000
- $2,100 (Correct answer)
- $2,200
Correct answer: $2,100
CI = 10000 × [(1.1)² − 1] = 10000 × 0.21 = $2,100.
Question 4: A shopkeeper marks a product 25% above cost price and gives a 10% discount. What is the profit percentage?
- 10%
- 12.5% (Correct answer)
- 15%
- 17.5%
Correct answer: 12.5%
Selling price = 1.25 × 0.90 = 1.125 times cost, giving 12.5% profit.
Question 5: Two pipes can fill a tank in 12 hours and 18 hours respectively. How long will they take together?
- 6.0 hours
- 7.2 hours (Correct answer)
- 8.0 hours
- 9.0 hours
Correct answer: 7.2 hours
Combined rate = 1/12 + 1/18 = 5/36; Time = 36/5 = 7.2 hours.
Question 6: The ratio of ages of A and B is 3:5. Six years later, their ratio will be 2:3. What is B's current age?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
Let ages be 3x and 5x; (3x+6)/(5x+6) = 2/3 gives x = 6, so B = 30.
CMAT Quantitative Techniques 1
A train travels 360 km in 4 hours.
What is its speed in km/h?