Entrance Exams
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Topics in Quantitative Aptitude
Two trains start from the same station at the same time. Train A travels at 60 km/h and Train B at 80 km/h in the same direction. After 3 hours, what will be the distance between them?
Correct Answer:
C. 60 km
EXPLANATION
Relative speed = 80 - 60 = 20 km/h. Distance = 20 × 3 = 60 km
A merchant buys goods for Rs. 8000 and sells them at a loss of 15%. What is the selling price?
Correct Answer:
A. Rs. 6800
EXPLANATION
SP = CP × (1 - loss%) = 8000 × 0.85 = Rs. 6800
Worker A completes a job in 15 days. Worker B completes the same job in 20 days. If they work together, how many days will it take?
Correct Answer:
C. 8.57 days
EXPLANATION
Combined rate = 1/15 + 1/20 = 7/60. Time = 60/7 ≈ 8.57 days
A train crosses a pole in 8 seconds. If the length of the train is 160m, what is its speed in km/h?
Correct Answer:
C. 72 km/h
EXPLANATION
Speed = Distance/Time = 160/8 = 20 m/s = 20 × 3.6 = 72 km/h
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
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
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
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%
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
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%