Showing 1–10 of 50 questions
A train travels 300 km in 5 hours. If it increases its speed by 20%, how long will it take to cover 360 km?
A
4 hours
B
5 hours
C
4.5 hours
D
3.5 hours
Correct Answer:
B. 5 hours
Explanation:
Original speed = 300/5 = 60 km/h. New speed = 60 × 1.2 = 72 km/h. Time = 360/72 = 5 hours
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
A
6.67 hours
B
6 hours
C
7.5 hours
D
8 hours
Correct Answer:
A. 6.67 hours
Explanation:
Rate of A = 1/12, Rate of B = 1/15. Combined rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 = 6.67 hours
A man bought a car for Rs. 5,00,000 and sold it at a loss of 15%. What is the selling price?
A
Rs. 4,25,000
B
Rs. 4,15,000
C
Rs. 5,75,000
D
Rs. 4,45,000
Correct Answer:
A. Rs. 4,25,000
Explanation:
Selling Price = Cost Price × (1 - Loss%). SP = 500000 × (1 - 0.15) = 500000 × 0.85 = Rs. 4,25,000
If the compound interest on Rs. 10,000 at 10% per annum for 2 years is compound annually, what is the amount?
A
Rs. 12,100
B
Rs. 12,000
C
Rs. 11,000
D
Rs. 12,200
Correct Answer:
A. Rs. 12,100
Explanation:
Amount = P(1 + R/100)^n = 10000(1 + 10/100)^2 = 10000(1.1)^2 = 10000 × 1.21 = Rs. 12,100
What is the average of first 20 natural numbers?
Explanation:
Sum of first n natural numbers = n(n+1)/2. Sum = 20×21/2 = 210. Average = 210/20 = 10.5
A person walks 6 km North, then 8 km East. What is the shortest distance from the starting point?
A
10 km
B
14 km
C
12 km
D
9 km
Explanation:
Using Pythagorean theorem: Distance = √(6² + 8²) = √(36 + 64) = √100 = 10 km
If A:B = 3:4 and B:C = 5:6, what is A:B:C?
A
15:20:24
B
3:4:5
C
3:5:6
D
12:16:20
Correct Answer:
A. 15:20:24
Explanation:
A:B = 3:4 (multiply by 5) = 15:20. B:C = 5:6 (multiply by 4) = 20:24. So A:B:C = 15:20:24
A mixture contains milk and water in the ratio 5:3. If the total quantity is 80 liters, how much milk is there?
A
40 liters
B
50 liters
C
60 liters
D
30 liters
Correct Answer:
B. 50 liters
Explanation:
Milk:Water = 5:3, Total parts = 8. Milk = 5/8 × 80 = 50 liters
A number increased by 25% becomes 500. What is the original number?
Explanation:
Let original number = x. x × 1.25 = 500. x = 500/1.25 = 400
Find the LCM of 12, 18, and 24.
Explanation:
12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3. LCM = 2³ × 3² = 8 × 9 = 72
