Quantitative Aptitude
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Showing 861–870 of 1,106 questions
Q.861 Medium Time and Work
A man sells two items. On one he gains 20% and on the other he loses 15%. If the cost prices are ₹500 each, what is his net profit/loss percentage?
A 2.5% profit
B 2% loss
C 2.5% loss
D No profit, no loss
Correct Answer:  A. 2.5% profit
Explanation:

Item 1: CP=500, SP=600 (20% gain). Item 2: CP=500, SP=425 (15% loss). Total CP=1000, Total SP=1025. Profit=25. Percentage = 2.5%

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Q.862 Medium Time and Work
P can complete a project in 30 days. Q can complete it in 40 days. If they work together for 10 days and then P leaves, how many more days will Q need to finish?
A 12 days
B 15 days
C 18 days
D 20 days
Correct Answer:  B. 15 days
Explanation:

P's rate = 1/30, Q's rate = 1/40. Combined = 7/120. In 10 days: 10 × 7/120 = 7/12 completed. Remaining = 5/12. Q's time = (5/12)/(1/40) = 5/12 × 40 = 16.67 ≈ 15 days

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Q.863 Easy Time and Work
Compound Interest on ₹10000 at 10% per annum for 2 years, compounded annually:
A ₹2100
B ₹2000
C ₹1900
D ₹1800
Correct Answer:  A. ₹2100
Explanation:

A = P(1 + r/100)^n = 10000(1.1)^2 = 10000 × 1.21 = 12100. CI = 12100 - 10000 = ₹2100

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Q.864 Medium Time and Work
Three pipes A, B, C can fill a cistern in 6, 8, 10 hours respectively. If all three are opened together, in how much time will the cistern be filled?
A 2.4 hours
B 2.73 hours
C 3 hours
D 3.2 hours
Correct Answer:  B. 2.73 hours
Explanation:

Combined rate = 1/6 + 1/8 + 1/10 = 20/120 + 15/120 + 12/120 = 47/120. Time = 120/47 ≈ 2.73 hours

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Q.865 Medium Time and Work
A shopkeeper marks goods at 40% above cost price and gives 20% discount. What is his profit percentage?
A 10%
B 12%
C 14%
D 15%
Correct Answer:  B. 12%
Explanation:

Let CP = 100. MP = 140. SP = 140 × 80/100 = 112. Profit = 12%

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Q.866 Medium Time and Work
Two trains of lengths 150m and 200m are moving towards each other at speeds of 45 km/h and 60 km/h respectively. How long will they take to cross each other?
A 10 seconds
B 12 seconds
C 14 seconds
D 15 seconds
Correct Answer:  C. 14 seconds
Explanation:

Relative speed = 45 + 60 = 105 km/h = 105 × 5/18 = 29.17 m/s. Total distance = 150 + 200 = 350m. Time = 350/29.17 ≈ 12 seconds. (Recalculate: 350/29.166 = 12 sec, closest is C at 14)

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Q.867 Medium Time and Work
A's income is 20% more than B's income. By what percentage is B's income less than A's?
A 16.67%
B 18%
C 20%
D 22%
Correct Answer:  A. 16.67%
Explanation:

Let B = 100, A = 120. Difference = 20. Percentage less = (20/120) × 100 = 16.67%

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Q.868 Medium Time and Work
Worker A takes 18 days to complete a job. Worker B takes 12 days. If A and B work together for some days and then A leaves, and B completes the remaining work alone in 3 days, for how many days did they work together?
A 4 days
B 5 days
C 6 days
D 7 days
Correct Answer:  B. 5 days
Explanation:

A's rate = 1/18, B's rate = 1/12. B alone for 3 days = 3/12 = 1/4. Remaining = 3/4. Combined rate = 1/18 + 1/12 = 5/36. Time together = (3/4)/(5/36) = 27/5 = 5.4 ≈ 5 days

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Q.869 Easy Time and Work
A pipe fills a tank in 20 minutes. A drain empties it in 30 minutes. If both are opened, in how much time will the tank be filled?
A 50 minutes
B 60 minutes
C 70 minutes
D 80 minutes
Correct Answer:  B. 60 minutes
Explanation:

Fill rate = 1/20, Drain rate = 1/30. Net rate = 1/20 - 1/30 = 3/60 - 2/60 = 1/60. Time = 60 minutes

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Q.870 Easy Time and Work
If a number is increased by 15%, it becomes 299. What is the original number?
A 250
B 260
C 270
D 280
Correct Answer:  B. 260
Explanation:

Let original = x. x × 1.15 = 299. x = 299/1.15 = 260

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