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State Exam — Quantitative Aptitude — Numbers
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Showing 401–410 of 500 questions in Numbers
Q.401 Medium Numbers
Two workers A and B can complete a job in 8 days and 12 days respectively. A starts the work and after 2 days, B joins. In how many more days will the work be completed?
A3.6 days
B4.2 days
C4.8 days
D5 days
Correct Answer:  A. 3.6 days
Explanation:

Work by A in 2 days = 2/8 = 1/4. Remaining work = 3/4. Combined rate = 1/8 + 1/12 = 5/24. Time = (3/4)/(5/24) = 18/5 = 3.6 days.

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Q.402 Easy Numbers
A number when increased by 15% becomes 575. What is the original number?
A500
B550
C460
D480
Correct Answer:  A. 500
Explanation:

Let original number = x. x × 1.15 = 575. x = 575/1.15 = 500.

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Q.403 Medium Numbers
A train travelling at 90 km/h takes 8 seconds to cross another train travelling at 54 km/h in the opposite direction. What is the sum of their lengths?
A200m
B280m
C320m
D400m
Correct Answer:  C. 320m
Explanation:

Relative speed = 90 + 54 = 144 km/h = 40 m/s. Distance = 40 × 8 = 320m = sum of lengths.

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Q.404 Medium Numbers
If a cistern is filled by three pipes in 4, 6, and 12 hours respectively, how long will it take to fill if all three are opened together?
A2 hours
B2.4 hours
C3 hours
D3.5 hours
Correct Answer:  A. 2 hours
Explanation:

Combined rate = 1/4 + 1/6 + 1/12 = 3/12 + 2/12 + 1/12 = 6/12 = 1/2. Time = 2 hours.

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Q.405 Easy Numbers
A man buys 50 pens at Rs. 3 each and sells them at Rs. 3.50 each. What is his profit percentage?
A14.28%
B16.67%
C18.5%
D20%
Correct Answer:  B. 16.67%
Explanation:

CP = 50 × 3 = 150. SP = 50 × 3.5 = 175. Profit % = (25/150) × 100 = 16.67%.

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Q.406 Hard Numbers
A sum of money becomes Rs. 9000 in 2 years and Rs. 10125 in 3 years at compound interest. What is the rate of interest?
A10%
B12.5%
C15%
D20%
Correct Answer:  B. 12.5%
Explanation:

Rate = (10125/9000 - 1) × 100 = (1.125 - 1) × 100 = 12.5%.

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Q.407 Easy Numbers
A boat's speed in still water is 15 km/h and current speed is 3 km/h. What is the ratio of downstream to upstream speeds?
A2:1
B3:2
C4:3
D5:3
Correct Answer:  B. 3:2
Explanation:

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

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Q.408 Easy Numbers
If 75 workers can build a wall in 120 days, how many days will 90 workers take?
A80 days
B90 days
C100 days
D110 days
Correct Answer:  C. 100 days
Explanation:

Work = Workers × Days = 75 × 120 = 9000. Days = 9000/90 = 100 days.

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Q.409 Medium Numbers
A price is increased by 30%, then decreased by 30%. What is the net change?
ANo change
B9% decrease
C9% increase
D15% decrease
Correct Answer:  B. 9% decrease
Explanation:

Let original = 100. After 30% increase = 130. After 30% decrease = 130 × 0.7 = 91. Net = 9% decrease.

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Q.410 Hard Numbers
Two pipes A and B can fill a tank in 10 hours and 15 hours respectively. A third pipe C empties it in 20 hours. If all three are opened simultaneously, in how many hours will the tank be filled?
A8.57 hours
B9.23 hours
C10.5 hours
D12 hours
Correct Answer:  A. 8.57 hours
Explanation:

Net rate = 1/10 + 1/15 - 1/20 = 6/60 + 4/60 - 3/60 = 7/60. Time = 60/7 ≈ 8.57 hours.

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