Govt. Exams
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Topics in Quantitative Aptitude
A and B together earn Rs. 8000 in a month. A earns 60% of this. How much does B earn?
Correct Answer:
A. Rs. 3200
EXPLANATION
B earns 40% of 8000 = 0.4 × 8000 = Rs. 3200
A train travels 450 km in 5 hours. What is its average speed?
Correct Answer:
C. 90 km/h
EXPLANATION
Speed = Distance/Time = 450/5 = 90 km/h
A sum of Rs. 1200 becomes Rs. 1440 in 2 years at simple interest. What is the rate of interest?
Correct Answer:
B. 10%
EXPLANATION
SI = 1440 - 1200 = 240. Rate = (SI × 100)/(P × T) = (240 × 100)/(1200 × 2) = 10%
Two numbers are in the ratio 5:8. If their sum is 130, find the larger number.
Correct Answer:
B. 80
EXPLANATION
Let numbers be 5x and 8x. 5x + 8x = 130, 13x = 130, x = 10. Larger number = 8 × 10 = 80
A shopkeeper buys an item for Rs. 400 and sells it at a profit of 35%. What is the selling price?
Correct Answer:
C. Rs. 540
EXPLANATION
SP = CP + Profit = 400 + (35% of 400) = 400 + 140 = Rs. 540
If the ratio of boys to girls in a class is 3:2 and there are 45 boys, how many girls are there?
Correct Answer:
B. 30
EXPLANATION
Boys:Girls = 3:2. If boys = 45, then 3x = 45, x = 15. Girls = 2x = 30
A number is increased by 25% and then decreased 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%
A shopkeeper bought goods for Rs. 5000 and sold at a profit of 20%. What is the selling price?
Correct Answer:
B. Rs. 6000
EXPLANATION
SP = 5000 + 20% of 5000 = 5000 + 1000 = 6000.
Two workers A and B can complete a job in 8 days and 12 days respectively. In how many days can they complete it working together?
Correct Answer:
A. 4.8 days
EXPLANATION
Combined rate = 1/8 + 1/12 = 5/24. Time = 24/5 = 4.8 days.
A man earns Rs. 500 more per month than a woman. If together they earn Rs. 4500 per month, how much does the man earn?
Correct Answer:
C. Rs. 2500
EXPLANATION
Let woman's salary = x. Man's salary = x + 500. x + x + 500 = 4500. x = 2000. Man earns Rs. 2500.
