Entrance Exams
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Topics in Quantitative Aptitude
A shopkeeper sells an item at Rs. 480 with 20% profit. What is the cost price?
Correct Answer:
B. Rs. 400
EXPLANATION
SP = CP × (1 + profit%). 480 = CP × 1.2. CP = 480/1.2 = Rs. 400.
A number is increased by 30%, then decreased by 20%. What is the net percentage change?
Correct Answer:
A. 4% increase
EXPLANATION
Let number = 100. After 30% increase: 130. After 20% decrease: 130 × 0.8 = 104. Net change = 4% increase.
If 60% of a number equals 180, what is 75% of that number?
Correct Answer:
A. 225
EXPLANATION
Number = 180/0.6 = 300. 75% of 300 = 225
A number is increased by 20% and then decreased by 20%. What is the net change?
Correct Answer:
B. 4% decrease
EXPLANATION
Let number = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net decrease = 4%
Simple Interest on Rs. 6000 at 8% p.a. for 2.5 years is?
Correct Answer:
C. Rs. 1200
EXPLANATION
SI = (P × R × T)/100 = (6000 × 8 × 2.5)/100 = 1200
The ratio of profit to cost price is 3:5. What is the profit percentage?
Correct Answer:
C. 60%
EXPLANATION
If CP = 5, Profit = 3. Profit% = (3/5) × 100 = 60%
A person invests Rs. 5000 at 12% p.a. compound interest for 2 years. What is the final amount?
Correct Answer:
B. Rs. 6280
EXPLANATION
A = P(1 + r/100)^n = 5000(1.12)^2 = 5000 × 1.2544 = 6272
A train travels 240 km in 4 hours. If its speed is increased by 20%, how much distance will it cover in 5 hours?
Correct Answer:
C. 360 km
EXPLANATION
Original speed = 240/4 = 60 km/h. New speed = 60 × 1.2 = 72 km/h. Distance in 5 hours = 72 × 5 = 360 km
A shopkeeper marks an item 40% above the cost price. If he gives a discount of 15% on the marked price, what is his profit percentage?
Correct Answer:
A. 19%
EXPLANATION
Let CP = 100. MP = 140. After 15% discount, SP = 140 × 0.85 = 119. Profit = 19%
Two stations are 480 km apart. A train covers distance in 8 hours. What is its speed?
Correct Answer:
C. 60 km/h
EXPLANATION
Speed = 480/8 = 60 km/h