State Exam — Quantitative Aptitude — Numbers
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Showing 411–420 of 500 questions in Numbers
Q.411 Easy Numbers
A shopkeeper marks an item at Rs. 500. He gives a discount of 20% and still makes a profit of 25%. What is the cost price?
ARs. 320
BRs. 400
CRs. 350
DRs. 380
Correct Answer:  A. Rs. 320
Explanation:

Selling Price = 500 × 80/100 = Rs. 400. If profit is 25%, then CP = 400 × 100/125 = Rs. 320

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Q.412 Easy Numbers
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
A6.67 hours
B5.5 hours
C7.5 hours
D8 hours
Correct Answer:  A. 6.67 hours
Explanation:

Combined rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 = 6.67 hours

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Q.413 Easy Numbers
A train 250m long crosses a platform 150m long in 20 seconds. What is the speed of the train?
A54 km/h
B72 km/h
C45 km/h
D60 km/h
Correct Answer:  B. 72 km/h
Explanation:

Distance covered = 250 + 150 = 400m. Speed = 400/20 = 20 m/s = 20 × 18/5 = 72 km/h

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Q.414 Easy Numbers
A boat's speed in still water is 12 km/h and the speed of current is 3 km/h. How long will it take to travel 60 km downstream?
A4 hours
B3.75 hours
C5 hours
D4.5 hours
Correct Answer:  A. 4 hours
Explanation:

Downstream speed = 12 + 3 = 15 km/h. Time = 60/15 = 4 hours

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Q.415 Easy Numbers
If a number is decreased by 40%, it becomes 300. What is the original number?
A500
B420
C480
D550
Correct Answer:  A. 500
Explanation:

Let original number be x. x × 60/100 = 300. x = 300 × 100/60 = 500

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Q.416 Easy Numbers
A man buys goods for Rs. 2500 and sells them at a loss of 8%. What is the selling price?
ARs. 2300
BRs. 2200
CRs. 2400
DRs. 2100
Correct Answer:  A. Rs. 2300
Explanation:

Selling Price = 2500 × 92/100 = Rs. 2300

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Q.417 Medium Numbers
X and Y together can complete a work in 18 days. X alone can complete it in 30 days. In how many days can Y alone complete the work?
A45 days
B38 days
C42 days
D35 days
Correct Answer:  A. 45 days
Explanation:

Y's rate = 1/18 - 1/30 = 5/90 - 3/90 = 2/90 = 1/45. Y can complete in 45 days

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Q.418 Medium Numbers
Rs. 1000 is invested at 10% per annum compound interest for 2 years. What is the final amount?
ARs. 1210
BRs. 1200
CRs. 1100
DRs. 1320
Correct Answer:  A. Rs. 1210
Explanation:

Amount = 1000(1 + 10/100)² = 1000 × 1.1 × 1.1 = Rs. 1210

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Q.419 Medium Numbers
A boat goes 30 km upstream in 6 hours and 30 km downstream in 3 hours. What is the speed of the boat in still water?
A7.5 km/h
B6.5 km/h
C8 km/h
D5 km/h
Correct Answer:  A. 7.5 km/h
Explanation:

Upstream speed = 30/6 = 5 km/h. Downstream speed = 30/3 = 10 km/h. Boat speed = (5+10)/2 = 7.5 km/h

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Q.420 Medium Numbers
A product's price increased by 25%, then decreased by 20%. What is the net change?
A0% (no change)
B+5%
C-5%
D+10%
Correct Answer:  B. +5%
Explanation:

Let original price = 100. After 25% increase = 125. After 20% decrease = 125 × 80/100 = 100. Net = +5% gain

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