Central Exam — Quantitative Aptitude
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Q.681 Easy Numbers
A man invests Rs. 8000 at 12% p.a. simple interest for 18 months. What amount does he receive?
A Rs. 9440
B Rs. 9600
C Rs. 9680
D Rs. 10000
Correct Answer:  A. Rs. 9440
Explanation:

SI = (8000 × 12 × 1.5)/100 = 1440. Amount = 8000 + 1440 = Rs. 9440

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Q.682 Easy Numbers
Pipe A fills a tank in 24 minutes, Pipe B in 36 minutes. If both work together, how long to fill the tank?
A 12.8 minutes
B 14.4 minutes
C 15.6 minutes
D 16.2 minutes
Correct Answer:  B. 14.4 minutes
Explanation:

Combined rate = 1/24 + 1/36 = (3+2)/72 = 5/72. Time = 72/5 = 14.4 minutes

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Q.683 Easy Numbers
A train travels at 72 km/h. How many metres does it cover in 25 seconds?
A 400 m
B 500 m
C 600 m
D 700 m
Correct Answer:  B. 500 m
Explanation:

Speed in m/s = 72 × 5/18 = 20 m/s. Distance = 20 × 25 = 500 m

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Q.684 Easy Numbers
A boat's speed in still water is 15 km/h. Stream speed is 3 km/h. What is the ratio of downstream to upstream speed?
A 2:1
B 3:2
C 4:3
D 6:5
Correct Answer:  B. 3:2
Explanation:

Downstream = 15 + 3 = 18. Upstream = 15 - 3 = 12. Ratio = 18:12 = 3:2

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Q.685 Easy Numbers
Cost price of an article is Rs. 500. It is sold at 24% profit. What is selling price?
A Rs. 612
B Rs. 620
C Rs. 624
D Rs. 630
Correct Answer:  C. Rs. 624
Explanation:

SP = 500 × 1.24 = Rs. 620. Wait, let me recalculate: 500 + (500 × 0.24) = 500 + 120 = 620. Correct answer should be B.

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Q.686 Medium Numbers
A sum becomes Rs. 1,331 in 3 years at 10% p.a. compound interest. What is principal?
A Rs. 1000
B Rs. 1050
C Rs. 1100
D Rs. 1200
Correct Answer:  A. Rs. 1000
Explanation:

A = P(1.1)³ = 1.331P. Given A = 1331, so P = 1000

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Q.687 Medium Numbers
Workers A and B together complete a job in 12 days. A alone takes 20 days. How many days for B alone?
A 25 days
B 28 days
C 30 days
D 32 days
Correct Answer:  C. 30 days
Explanation:

B's rate = 1/12 - 1/20 = (5-3)/60 = 2/60 = 1/30. B takes 30 days

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Q.688 Medium Numbers
Marked price is Rs. 800. After successive discounts of 10% and 15%, what is final selling price?
A Rs. 578
B Rs. 612
C Rs. 648
D Rs. 680
Correct Answer:  B. Rs. 612
Explanation:

After 10% discount: 800 × 0.9 = 720. After 15% discount: 720 × 0.85 = 612

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Q.689 Medium Numbers
A man covers 120 km in 8 hours partly by train at 20 km/h and partly by bus at 12 km/h. Distance by train?
A 40 km
B 60 km
C 80 km
D 100 km
Correct Answer:  B. 60 km
Explanation:

Let train distance = x. Then x/20 + (120-x)/12 = 8. Solving: 3x + 5(120-x) = 480. x = 60

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Q.690 Medium Numbers
Three pipes A, B, C can fill a tank in 20, 30, 60 minutes respectively. Time to fill if all three work together?
A 8 minutes
B 9 minutes
C 10 minutes
D 12 minutes
Correct Answer:  C. 10 minutes
Explanation:

Combined rate = 1/20 + 1/30 + 1/60 = (3+2+1)/60 = 6/60 = 1/10. Time = 10 minutes

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