Govt Exams
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Topics in Quantitative Aptitude
Two trains are moving towards each other at 40 km/h and 50 km/h respectively. They meet after 2 hours. What is the distance between them initially?
Correct Answer:
D. 180 km
EXPLANATION
Relative speed = 40 + 50 = 90 km/h. Distance = 90 × 2 = 180 km
A man bought a watch for ₹2000 and sold it at 15% loss. At what price did he sell it?
Correct Answer:
B. ₹1700
EXPLANATION
SP = 2000 × (1 - 0.15) = 2000 × 0.85 = ₹1700
A pipe can fill 1/3 of a tank in 4 hours. How long will it take to fill the entire tank?
Correct Answer:
C. 12 hours
EXPLANATION
If 1/3 tank takes 4 hours, full tank takes 4 × 3 = 12 hours
P invests ₹20,000 and Q invests ₹30,000 in a business. Profit after 1 year is ₹5000. What is Q's share?
Correct Answer:
B. ₹3000
EXPLANATION
Profit ratio = 20000:30000 = 2:3. Q's share = 5000 × 3/5 = ₹3000
A train 150 m long passes a pole in 6 seconds. What is the speed of the train in km/h?
Correct Answer:
C. 90 km/h
EXPLANATION
Speed = 150/6 = 25 m/s = 25 × 18/5 = 90 km/h
A merchant buys goods at ₹400 per unit and sells at ₹500 per unit. He gives a 10% discount on marked price. What is his marked price?
Correct Answer:
B. ₹555.56
EXPLANATION
SP = 500, Discount = 10%, MP × 0.90 = 500, MP = 500/0.90 = ₹555.56
A and B work together and complete a work in 10 days. A alone can do it in 15 days. In how many days can B alone do the work?
Correct Answer:
B. 30 days
EXPLANATION
Combined rate = 1/10, A's rate = 1/15. B's rate = 1/10 - 1/15 = 1/30. B needs 30 days
A mixture contains milk and water in ratio 5:3. If 8 liters of water is added, ratio becomes 5:4. Find the original quantity of milk.
Correct Answer:
A. 40 liters
EXPLANATION
Let milk = 5x, water = 3x. After adding 8 liters water: 5x/(3x+8) = 5/4. 20x = 15x + 40. 5x = 40. x = 8. Milk = 40 liters.
A clock gains 5 minutes every 12 hours. If it is set correct at 12 PM on Monday, what will it show at 12 PM on Tuesday?
Correct Answer:
A. 12:10 PM
EXPLANATION
In 12 hours, clock gains 5 minutes. In 24 hours, it gains 10 minutes. So at 12 PM Tuesday, clock will show 12:10 PM.
A lost 10% by selling an item for ₹900. If he wants 15% profit, what should be the selling price?
Correct Answer:
A. ₹1150
EXPLANATION
SP = 900 is 90% of CP. So CP = 900/0.9 = 1000. For 15% profit, SP = 1000 × 1.15 = 1150.