Govt Exam — Quantitative Aptitude
SSC · UPSC · Bank PO · Railway · NDA — Government Exam MCQ Practice
Showing 201–210 of 499 questions
Q.201
Medium
Numbers
Two pipes can fill a tank in 20 and 30 hours respectively. A drain empties it in 60 hours. If all three are open, how long to fill the tank?
Correct Answer:
B. 12 hours
Explanation:
Rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 hours. Note: Answer closest is 12 (recalculate: (3+2-1)/60 = 1/12, so 12 hours)
Q.202
Medium
Numbers
If a number is multiplied by 3/4 and then divided by 2/5, what is the result in terms of the original number?
Correct Answer:
A. 15x/8
Explanation:
(3x/4) ÷ (2/5) = (3x/4) × (5/2) = 15x/8
Q.203
Medium
Numbers
A product's price increases by 20% and then by another 10%. What is the total percentage increase?
Correct Answer:
B. 32%
Explanation:
Total increase = (1.2 × 1.1 - 1) × 100 = (1.32 - 1) × 100 = 32%
Q.204
Medium
Numbers
A vendor sells 40% of his stock at 10% profit and remaining at 5% loss. What is overall profit/loss percentage?
Correct Answer:
A. 1% profit
Explanation:
Let stock = 100. 40 units at 10% profit = 44. 60 units at 5% loss = 57. Total SP = 101. Profit = 1%
Q.205
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.206
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.207
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.208
Medium
Numbers
A number when increased by 20% becomes 480. What is the original number?
Correct Answer:
C. 400
Explanation:
Let original number = x. x × 1.20 = 480. x = 480/1.20 = 400
Q.209
Medium
Numbers
A pipe can fill a tank in 8 hours while another pipe can empty it in 12 hours. If both are opened simultaneously, in how many hours will the tank be filled?
Correct Answer:
C. 24 hours
Explanation:
Net rate = 1/8 - 1/12 = (3-2)/24 = 1/24. Time = 24 hours
Q.210
Medium
Numbers
A boat's speed in still water is 12 km/h and the speed of the current is 3 km/h. How long will it take to travel 45 km upstream?
Correct Answer:
B. 5 hours
Explanation:
Upstream speed = 12 - 3 = 9 km/h. Time = 45/9 = 5 hours