Entrance Exams
Govt. Exams
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Topics in Quantitative Aptitude
In a shop, the cost price of an item is Rs. 500. If it's sold at 35% profit, what is the selling price?
Correct Answer:
A. Rs. 675
EXPLANATION
SP = CP + Profit = 500 + (35% of 500) = 500 + 175 = Rs. 675
A number increases by 25%, then decreases by 20%. What is the net percentage change?
Correct Answer:
A. 0%
EXPLANATION
Let number = 100. After 25% increase: 125. After 20% decrease on 125: 125 × 0.8 = 100. Net change = 0%
If 15% of a number is 45, what is 40% of that number?
Correct Answer:
A. 120
EXPLANATION
Number = 45 × 100/15 = 300. 40% of 300 = 300 × 40/100 = 120
A man buys goods for Rs. 2500 and sells them at a loss of 8%. What is the selling price?
Correct Answer:
A. Rs. 2300
EXPLANATION
Selling Price = 2500 × 92/100 = Rs. 2300
If a number is decreased by 40%, it becomes 300. What is the original number?
Correct Answer:
A. 500
EXPLANATION
Let original number be x. x × 60/100 = 300. x = 300 × 100/60 = 500
A boat's speed in still water is 12 km/h and the speed of current is 3 km/h. How long will it take to travel 60 km downstream?
Correct Answer:
A. 4 hours
EXPLANATION
Downstream speed = 12 + 3 = 15 km/h. Time = 60/15 = 4 hours
A train 250m long crosses a platform 150m long in 20 seconds. What is the speed of the train?
Correct Answer:
B. 72 km/h
EXPLANATION
Distance covered = 250 + 150 = 400m. Speed = 400/20 = 20 m/s = 20 × 18/5 = 72 km/h
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
Correct Answer:
A. 6.67 hours
EXPLANATION
Combined rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 = 6.67 hours
A shopkeeper marks an item at Rs. 500. He gives a discount of 20% and still makes a profit of 25%. What is the cost price?
Correct Answer:
A. Rs. 320
EXPLANATION
Selling Price = 500 × 80/100 = Rs. 400. If profit is 25%, then CP = 400 × 100/125 = Rs. 320
If 75 workers can build a wall in 120 days, how many days will 90 workers take?
Correct Answer:
C. 100 days
EXPLANATION
Work = Workers × Days = 75 × 120 = 9000. Days = 9000/90 = 100 days.