Central Exam — Quantitative Aptitude
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Showing 471–480 of 1,106 questions
Q.471
Medium
Numbers
A truck travels at 60 km/h for 2 hours and then at 40 km/h for 3 hours. What is average speed?
Correct Answer:
A. 48 km/h
Explanation:
Total distance = 60×2 + 40×3 = 120 + 120 = 240 km. Total time = 5 hours. Average = 240/5 = 48 km/h
Q.472
Easy
Numbers
If 15% of a number is 45, what is the number?
Correct Answer:
B. 300
Explanation:
Let number = x. 0.15x = 45. x = 45/0.15 = 300
Q.473
Easy
Numbers
A company's profit increases from Rs. 50000 to Rs. 65000. What is the percentage increase?
Correct Answer:
B. 30%
Explanation:
Increase = 65000 - 50000 = 15000. Percentage = (15000/50000) × 100 = 30%
Q.474
Medium
Numbers
A borrowed Rs. 8000 at 12% per annum compound interest for 2 years. How much should be repay?
Correct Answer:
A. Rs. 10035.20
Explanation:
Amount = 8000(1 + 0.12)² = 8000 × 1.2544 = Rs. 10035.20
Q.475
Easy
Numbers
Worker A completes 1/3 of work in 5 days. How many days to complete the entire work alone?
Correct Answer:
C. 15 days
Explanation:
1/3 work in 5 days. Full work = 5 × 3 = 15 days
Q.476
Medium
Numbers
A train 240m long passes a platform 160m long in 20 seconds. What is the train's speed?
Correct Answer:
A. 72 km/h
Explanation:
Total distance = 240 + 160 = 400m. Speed = 400/20 = 20 m/s = 72 km/h
Q.477
Easy
Numbers
A shopkeeper marks his goods 25% above cost price. If he gives a discount of 10%, what is his profit percentage?
Correct Answer:
A. 12.5%
Explanation:
MP = CP × 1.25, SP = MP × 0.90 = CP × 1.25 × 0.90 = CP × 1.125. Profit = 12.5%
Q.478
Easy
Numbers
Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
Correct Answer:
B. 7.2 hours
Explanation:
A's rate = 1/12, B's rate = 1/18. Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 hours
Q.479
Easy
Numbers
A boat travels 30 km upstream in 6 hours and 30 km downstream in 5 hours. What is the speed of the boat in still water?
Correct Answer:
A. 5.5 km/h
Explanation:
Upstream speed = 30/6 = 5 km/h, Downstream speed = 30/5 = 6 km/h. Boat speed = (5+6)/2 = 5.5 km/h
Q.480
Easy
Numbers
Rs. 5000 is invested at 8% p.a. compound interest for 2 years. What is the amount?
Correct Answer:
A. Rs. 5832
Explanation:
A = P(1 + r/100)^n = 5000(1.08)^2 = 5000 × 1.1664 = Rs. 5832