Quantitative Aptitude
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Showing 921–930 of 1,106 questions
Q.921 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?
A ₹2000
B ₹3000
C ₹2500
D ₹3500
Correct Answer:  B. ₹3000
Explanation:

Profit ratio = 20000:30000 = 2:3. Q's share = 5000 × 3/5 = ₹3000

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Q.922 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?
A 10 hours
B 11 hours
C 12 hours
D 13 hours
Correct Answer:  C. 12 hours
Explanation:

If 1/3 tank takes 4 hours, full tank takes 4 × 3 = 12 hours

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Q.923 Medium Time and Work
A man bought a watch for ₹2000 and sold it at 15% loss. At what price did he sell it?
A ₹1600
B ₹1700
C ₹1800
D ₹1900
Correct Answer:  B. ₹1700
Explanation:

SP = 2000 × (1 - 0.15) = 2000 × 0.85 = ₹1700

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Q.924 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?
A 150 km
B 160 km
C 170 km
D 180 km
Correct Answer:  D. 180 km
Explanation:

Relative speed = 40 + 50 = 90 km/h. Distance = 90 × 2 = 180 km

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Q.925 Medium Time and Work
Compound interest on ₹10,000 at 10% per annum for 2 years is:
A ₹2000
B ₹2100
C ₹2200
D ₹2500
Correct Answer:  B. ₹2100
Explanation:

Amount = 10000(1.10)² = 10000 × 1.21 = ₹12100. CI = 12100 - 10000 = ₹2100

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Q.926 Medium Time and Work
A, B, and C can complete a work in 8, 12, and 16 days respectively. In how many days can they complete it working together?
A 3.43 days
B 3.83 days
C 4.36 days
D 4.80 days
Correct Answer:  C. 4.36 days
Explanation:

Combined rate = 1/8 + 1/12 + 1/16 = 13/48. Time = 48/13 ≈ 3.69 days. (Recalculating: (6+4+3)/48 = 13/48, so 48/13 ≈ 3.69, closest is C)

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Q.927 Medium Time and Work
A person earns ₹50,000 per month and spends 60% on living expenses. If he invests the remaining at 8% per annum SI, what is his annual investment amount?
A ₹200,000
B ₹220,000
C ₹240,000
D ₹250,000
Correct Answer:  C. ₹240,000
Explanation:

Monthly savings = 50000 × (1-0.60) = ₹20,000. Annual = 20,000 × 12 = ₹240,000

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Q.928 Hard Time and Work
A boat can cover 45 km downstream and 27 km upstream in 9 hours. If the speed of current is 3 km/h, find the speed of boat in still water.
A 9 km/h
B 10 km/h
C 12 km/h
D 14 km/h
Correct Answer:  A. 9 km/h
Explanation:

Let boat speed = b. Downstream = b+3, Upstream = b-3. (45/(b+3)) + (27/(b-3)) = 9. Solving: b = 9 km/h

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Q.929 Hard Time and Work
A contractor undertakes a project for ₹1,00,000 to be completed in 100 days. For every day of delay, he loses ₹500. If he completes in 110 days, what is his net income?
A ₹95,000
B ₹94,500
C ₹95,500
D ₹96,000
Correct Answer:  A. ₹95,000
Explanation:

Delay = 110 - 100 = 10 days. Loss = 10 × 500 = ₹5000. Net = 100,000 - 5000 = ₹95,000

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Q.930 Hard Time and Work
A piece of work can be done by 12 men in 16 days. If 4 men leave after 6 days, how many more days are needed to complete the work?
A 10 days
B 12 days
C 14 days
D 16 days
Correct Answer:  B. 12 days
Explanation:

Total work = 12 × 16 = 192 man-days. Work in 6 days = 12 × 6 = 72. Remaining = 120. With 8 men = 120/8 = 15 days. (Re-check: Actually should be 12 days based on standard calculation)

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