State Exam — Quantitative Aptitude — Time and Work
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Showing 71–80 of 100 questions
in Time and Work
Q.71
Easy
Time and Work
A boat travels 48 km downstream in 3 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water?
Correct Answer: B. 12 km/h
Explanation:
Downstream speed = 48/3 = 16 km/h, Upstream speed = 32/4 = 8 km/h. Boat speed = (16+8)/2 = 12 km/h
Q.72
Easy
Time and Work
Principal ₹5000, Rate 8% per annum, Time 2 years. Find Simple Interest.
Correct Answer: C. ₹800
Explanation:
SI = (P × R × T)/100 = (5000 × 8 × 2)/100 = ₹800
Q.73
Medium
Time and Work
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
Q.74
Medium
Time and Work
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
Q.75
Medium
Time and Work
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
Q.76
Medium
Time and Work
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
Q.77
Medium
Time and Work
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
Q.78
Medium
Time and Work
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
Q.79
Medium
Time and Work
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
Q.80
Medium
Time and Work
Compound interest on ₹10,000 at 10% per annum for 2 years is:
Correct Answer: B. ₹2100
Explanation:
Amount = 10000(1.10)² = 10000 × 1.21 = ₹12100. CI = 12100 - 10000 = ₹2100