Entrance Exams
Govt. Exams
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Topics in Quantitative Aptitude
The price of an item increases from Rs. 250 to Rs. 300. What is the percentage increase?
Correct Answer:
C. 20%
EXPLANATION
Increase = 300 - 250 = 50. Percentage = (50/250) × 100 = 20%
A boat can travel 120 km downstream in 4 hours. If current speed is 5 km/h, what is boat's speed in still water?
Correct Answer:
A. 25 km/h
EXPLANATION
Downstream speed = 120/4 = 30 km/h. Boat speed = 30 - 5 = 25 km/h
If 40% of a number is 144, what is the number?
Correct Answer:
C. 360
EXPLANATION
0.4 × x = 144. x = 144/0.4 = 360
What percentage of 480 is 72?
Correct Answer:
B. 15%
EXPLANATION
(72/480) × 100 = 15%
A number is increased by 30%, then decreased by 20%. Net change is what percent?
Correct Answer:
A. 4%
EXPLANATION
Let number = 100. After +30% = 130. After -20% of 130 = 130 × 0.8 = 104. Net increase = 4%
A boat travels 48 km downstream in 3 hours and 32 km upstream in 4 hours. What is the speed of current?
Correct Answer:
A. 2 km/h
EXPLANATION
Downstream speed = 48/3 = 16 km/h. Upstream speed = 32/4 = 8 km/h. Current = (16-8)/2 = 2 km/h
A sum becomes Rs. 14400 after 2 years at 20% p.a. simple interest. What is the principal?
Correct Answer:
A. Rs. 10000
EXPLANATION
SI = P × R × T / 100 = P × 20 × 2 / 100 = 0.4P. Amount = P + 0.4P = 1.4P = 14400. P = 10000
Worker A completes a job in 12 days. Worker B completes the same job in 15 days. If they work together, in how many days will they complete it?
Correct Answer:
B. 6.67 days
EXPLANATION
Combined rate = 1/12 + 1/15 = (5+4)/60 = 9/60 = 3/20. Time = 20/3 = 6.67 days
A shopkeeper buys an item for Rs. 400 and marks it 50% above cost price. He gives a discount of 20% on marked price. What is his profit percentage?
Correct Answer:
A. 20%
EXPLANATION
MP = 400 × 1.5 = Rs. 600. SP = 600 × 0.8 = Rs. 480. Profit = (480-400)/400 × 100 = 20%
The ratio of boys to girls in a class is 3:2. If there are 15 boys, how many girls are there?
Correct Answer:
B. 10
EXPLANATION
If boys:girls = 3:2 and boys = 15, then girls = (2/3) × 15 = 10