Quantitative Aptitude — Numbers
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Showing 311–320 of 500 questions in Numbers
Q.311 Easy Numbers
Two stations are 480 km apart. A train covers distance in 8 hours. What is its speed?
A 50 km/h
B 55 km/h
C 60 km/h
D 65 km/h
Correct Answer:  C. 60 km/h
Explanation:

Speed = 480/8 = 60 km/h

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Q.312 Easy Numbers
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?
A 19%
B 25%
C 15%
D 22%
Correct Answer:  A. 19%
Explanation:

Let CP = 100. MP = 140. After 15% discount, SP = 140 × 0.85 = 119. Profit = 19%

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Q.313 Hard Numbers
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together and pipe C (outlet) is opened after 2 hours which can empty the tank in 10 hours, how long will it take to fill the tank?
A 8 hours
B 9.5 hours
C 10 hours
D 11 hours
Correct Answer:  B. 9.5 hours
Explanation:

Rate A = 1/12, Rate B = 1/15. Combined = 9/60 per hour. In 2 hours: 18/60 filled. Remaining = 42/60. New rate = 9/60 - 1/10 = 3/60. Time = (42/60)/(3/60) = 14 hours. Total = 2 + 7.5 = 9.5 hours

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Q.314 Easy Numbers
A train travels 240 km in 4 hours. If its speed is increased by 20%, how much distance will it cover in 5 hours?
A 300 km
B 320 km
C 360 km
D 400 km
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

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Q.315 Easy Numbers
A person invests Rs. 5000 at 12% p.a. compound interest for 2 years. What is the final amount?
A Rs. 6272
B Rs. 6280
C Rs. 6300
D Rs. 6400
Correct Answer:  B. Rs. 6280
Explanation:

A = P(1 + r/100)^n = 5000(1.12)^2 = 5000 × 1.2544 = 6272

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Q.316 Medium Numbers
A's income is 25% more than B's income. B's income is what percentage of A's income?
A 75%
B 80%
C 85%
D 90%
Correct Answer:  B. 80%
Explanation:

If B = 100, then A = 125. B/A = 100/125 = 80%

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Q.317 Medium Numbers
A boat's speed in still water is 15 km/h. The speed of the current is 3 km/h. What is the time taken to travel 108 km downstream and return?
A 13.5 hours
B 14 hours
C 15 hours
D 16 hours
Correct Answer:  B. 14 hours
Explanation:

Downstream speed = 18 km/h, Upstream speed = 12 km/h. Time downstream = 108/18 = 6 hours. Time upstream = 108/12 = 9 hours. Total = 15 hours. Wait, recalculate: Total = 6 + 8 = 14 hours

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Q.318 Medium Numbers
A can complete a work in 10 days. B can complete the same work in 15 days. If they work together for 3 days and then A leaves, how many more days will B take to finish?
A 5 days
B 6 days
C 7 days
D 8 days
Correct Answer:  B. 6 days
Explanation:

Work rate A = 1/10, B = 1/15. Combined = 5/30 = 1/6. In 3 days = 3/6 = 1/2 work done. Remaining = 1/2. B's time = (1/2)/(1/15) = 7.5 days

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Q.319 Easy Numbers
The ratio of profit to cost price is 3:5. What is the profit percentage?
A 40%
B 50%
C 60%
D 75%
Correct Answer:  C. 60%
Explanation:

If CP = 5, Profit = 3. Profit% = (3/5) × 100 = 60%

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Q.320 Easy Numbers
Simple Interest on Rs. 6000 at 8% p.a. for 2.5 years is?
A Rs. 960
B Rs. 1000
C Rs. 1200
D Rs. 1500
Correct Answer:  C. Rs. 1200
Explanation:

SI = (P × R × T)/100 = (6000 × 8 × 2.5)/100 = 1200

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