mathematics MCQs – Page 14

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

651. Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
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A. Rs.64000

B. Rs.80000

C. Rs.81000

D. Rs.75000

652. Masood invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
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A. Rs. 4500

B. Rs. 5500

C. Rs 4000

D. Rs. 6000

653. P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in________days
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A. 1

B. 4

C. 3

D. 2

654. A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get:___________?
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A. None of these

B. 45 Rs.

C. 35 Rs.

D. 40 Rs.

655. A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in_________?
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A. 10

B. 9.6

C. 4

D. 9

656. Jameel can complete a task in 15 hours and Nasir can complete the same task in 12 hours. Jameel starts the task at 9:00 am and stops working at 2:00pm. Nasir starts working on the task at 4:00 pm. At what time is the task completed?
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A. 2:00 AM

B. 12:00 am

C. 12:00 PM

D. 10:00 PM

657. A and B together can complete a work in 1.2 days,. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work ?
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A. 11 days

B. 15 days

C. 20 days

D. 10 days

658. The areas of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to :___________?
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A. the square of the volume of the box

B. twice the volume of the box

C. the cube root of the volume of the box

D. the volume of the box

659. At what rate of interest will be Rs 20000 becomes Rs 24200 after 2 years when interest is compounded annually?
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A. 5%

B. 6%

C. 10%

D. 15%

660. The edges of a cuboid are in the ratio 1 : 2 : 3 and its sunface area is 88 cm<sup>2
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A. 64 cm<sup>3</sup>

B. 120 cm<sup>3</sup>

C. 48 cm3

D. 24 cm<sup>3</sup>

661. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job?
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A. 44

B. 34(2/7)

C. 45

D. 48
662. Walking at 80% of his usual speed, a man is 10 mins late to his office. Find the usual time taken by hime to reach his office.
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A. 40 minutes

B. 20 minutes

C. 30 minutes

D. 50 minutes

663. A man invested Rs. 14,400 in Rs.100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year , then how much does he get?
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A. Rs. 600

B. Rs. 650

C. Rs. 720

D. Rs. 500

664. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.
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A. 5:03

B. 4:3

C. 5:04

D. 3:04

665. P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.
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A. 3 3?7

B. 5

C. 2

D. 4

666. wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe Z can empty the full tank in 25 hrs. All the three pipes are opened in the beginning. After 10 hrs. Z is closed. In how much time, will the tank be full ?
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A. 16 hrs

B. 18 hrs

C. 14 hrs

D. 12 hrs
667. Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
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A. 24% p.a.

B. None of these.

C. 22% p.a.

D. 18% p.a.

E. 20% p.a.
668. Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
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A. 7 hour 15 minutes

B. 7 hour 30 minutes

C. 8 hour 15 minutes

D. 8 hour 30 minutes

669. A sum of money placed at compound interest doubles itself in 5 years in how many years it would to 8 times of itself at the same rate of interest?
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A. 15 years

B. 20 years

C. 10 years

D. 7 years

670. The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
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A. None of these

B. Rs.18,828.80

C. Rs.18,028.80

D. Rs.17,828.80

E. Rs.19,828.80
671. If X and Y complete a certain work in 10 days, Y and Z in 16 days and X and Z in 22 days, find the time required for each one to complete the work while working separately.
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A. 40, 30, 120 days

B. 120, 40, 60 days

C. 120, 60, 80 days

D. 30, 40, 60 days

672. A and B can do a piece of work in 21 and 24 days respectively.They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave?
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A. 6

B. 8

C. 7

D. 5

673. A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds ?
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A. 45 metres

B. 55 metres

C. Cannot be determined

D. 450 metres
674. Jameel invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
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A. 4% p.a.

B. 5% p.a.

C. None of these

D. 8% p.a.

E. 6% p.a.

675. A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
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A. Rs.250

B. None of these.

C. Rs.500

D. Rs.5062.50

E. Rs.5012.50

676. Find the income derived from 88 shares of Rs. 25 each at 5 premium, brokerage being (1/4) per share and the rate of dividend being 7(1/2) % per annum.
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A. 201

B. 150

C. 165

D. 180

677. A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?
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A. 20 days

B. 30 days

C. none of these

D. 40 days

678. In a race, a car travelled at a speed of 150 kmph. If it had travelled at 180 kmph, it would have completed the race before 3 minutes. Find the length of the track.
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A. 40 km

B. 45 km

C. 50 km

D. 30 km

679. A man buys Rs. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares ?
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A. Rs. 37.50

B. Rs 52

C. Rs. 48

D. Rs. 40
680. P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
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A. 10 days

B. 9(3/5) days

C. 9(1/5) days

D. 9(2/5) days

681. What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
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A. Rs.110

B. Rs.120

C. None of these.

D. Rs.140

E. Rs.130

682. Find the cash required to purchase Rs. 3200, 7(1/2) % stock at 107(brokerage (1/2) %).
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A. 4440

B. 3440

C. 6440

D. 5440

683. The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it contain ?
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A. 1.9

B. 1.4

C. 1.7

D. 1.5
684. If 6 men working together can complete 50 identical tasks in 4 hours then how many such identical tasks can be completed if 10 men are working together for 6 hours?
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A. 20

B. 25

C. 60

D. 125
685. Two trains 140 metres and 120 metres are running in the same direction with speeds 40 kmph and 60 kmph respectively. In what time will the faster train pass the slower one?
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A. 0.36 minutes

B. 0.60 minutes

C. 0.78 minutes

D. 0.42 minutes

686. A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.
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A. 30 km

B. 80 km

C. 70 km

D. 40 km

687. A car gives a mileage of 20 km per liter of petrol when driven at a constant speed of 50 kmph but the mileage decreases by 10% when driven at a speed of 70 kmph. How many km can the car travel with 12 liters of petrol if it travels a speed of 70 kmph?
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A. 240 km

B. 216 km

C. 200 km

D. 228 km

688. A 9% stock yields 8%. The market value of the stock is__________?
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A. Rs. 112.50

B. Rs. 92

C. Rs. 116.50

D. Rs. 72

689. Two trains 120 miles apart travel towards each other. The 1st train travels at 70 mph while the 2nd at 50 mph. A bird starts flying from the location of the faster train towards the other train at 85 mph and when it reaches the slower train it turns back and flies in the other direction at the same speed. When it reaches the faster train it again turns around and repeats the same procedure again and again. When the train collide, how far will the bird have flown?
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A. 70 miles

B. 50 miles

C. 85 miles

D. 120 miles

690. A man invested Rs. 14,400 in Rs 100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year, then how much does he get ?
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A. Rs. 650

B. Rs. 500

C. Rs. 600

D. Rs. 720

691. If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
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A. 10

B. 2

C. 12

D. 8

692. A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?
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A. 50

B. 60

C. 40

D. 70

693. A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?
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A. 5 km

B. 6 km

C. 3 km

D. 4 km

694. Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
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A. Rs.460

B. Rs.5640

C. Rs.5460

D. Rs.5604

695. A leak in the lower portion of a tank can empty the full tank in 9 hrs. An inlet pipe fills water at the rtae of 10 lit. a minute. When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs. How many litres does the cistern hold ?
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A. None of thes

B. 12,342 litres.

C. 12,444 litres

D. 12,566 litres.

696. A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76. The daily earning of C is:__________?
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A. 10 Rs,

B. 15 Rs,

C. 20 Rs.

D. 25 Rs.

697. C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?
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A. 8 days

B. 9 days

C. 10 days

D. 12 days

698. A sum of money becomes Rs.6690 after three years and Rs.10.035 after six years on compound interest. The sum is________?
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A. Rs.4445

B. Rs.4400

C. Rs.4460

D. Rs.4520

699. A 9% stock yields 8%. The market value of the stock is__________?
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A. Rs. 116.50

B. Rs. 72

C. Rs. 90

D. Rs. 112.50
700. An express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ?
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A. 6 hrs 24 min

B. 6 hrs 30 min

C. 6 hrs 21 min

D. 6 hrs 27 min