mathematics mcqs to prepare for nts, kppsc, fpsc, ppsc and more | mcqpk.com

mathematics Mcqs

701. A cuboidal, block of 6 cm X 9 cm X 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be_________?
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A. 9

B. 24

C. 6

D. 30

702. If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :
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A. 12 days

B. 16 days

C. 18 days

D. 14 days

703. A 6% stock yields 8%. The market value of the stock is___________?
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A. Rs.96

B. Rs.48

C. Rs.75

D. Rs.133.33

704. A can do a certain work-in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in_________?
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A. 20 days

B. 25 days

C. 15 days

D. 30 days

705. 15 men can build a 500m long wall in 30 days. In how many days can 30 men build a 1.2 km long wall?
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A. 36 days

B. 48 days

C. 24 days

D. 40 days

706. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km /hr, the time taken by it to cover the same distance will be :__________?
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A. 13 min

B. 13 min 20 sec

C. 10 min

D. 11 min 20 sec

707. Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.
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A. 7.2 km

B. 3.6 km

C. 2.5 km

D. 7 km

708. Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
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A. Rs.375

B. Rs.420

C. Rs.380

D. Rs.400

709. The difference between compound interest and simple interest at the same rate on Rs 5000 for 2 years is Rs 72. The rate of interest per annum is:___________?
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A. 12%

B. 6%

C. 10%

D. 8%

710. A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is_________?
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A. 5,760 litres

B. None of these

C. 5,750 litres

D. 6,890 litres

711. A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it ?
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A. 70 days

B. 60 days

C. 40 days

D. 50 days

712. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :___________?
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A. 8.10 a.m.

B. 7.48 a.m.

C. 7.42 a.m.

D. 8.30 a.m.

713. The sum of two numbers is 25 and their differenee is 13. Find their product :
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A. 114

B. 315

C. 104

D. 325

714. The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest.
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A. Rs.3052.40

B. Rs.3054.8

C. None of these

D. Rs.3502.80

E. Rs.3052.80

715. By investing Rs. 1620 in 8% stock, Maria earns Rs. 135. The stock is then quoted at:_________?
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A. 106

B. 80

C. 108

D. 96

716. In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
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A. 8100

B. 8500

C. 8000

D. 8400

717. Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
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A. 19 hr

B. 14 hr

C. 17 hr

D. 12 hr

718. Atif and Bilal, 110 km apart, start cycling towards each other. If Atif covers a distance of 6 km to Bilals 5 km, how far will Atif have travelled when they meet?
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A. 66 km

B. 60 km

C. 50 km

D. 55 km

719. If 28 men can finish a work in 15 days, 21 men can finish the same work in___________?
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A. 15 days

B. 24 days

C. 20 days

D. 14 days

720. A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X
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A. 12

B. 9

C. 10

D. 8

721. To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is__________?
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A. Rs. 14,400

B. Rs. 10,800

C. Rs. 10,000

D. Rs. 16,000

722. Excluding stoppages, the average speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
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A. 12

B. 9

C. 10

D. 20

723. Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayans investments if the interests from those investments are equal?
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A. 6:05

B. 7 : 6

C. 3:02

D. None of these

E. 4:03

724. The difference between compound interest and simple interest on Rs 8000 at 5% P.a for 3 years is_________?
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A. Rs 61

B. Rs 600

C. Rs 60

D. Rs 50

725. A can do piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?
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A. 45 days

B. 70 days

C. 50 days

D. 120/7 days

726. A man invests in a 16% stock at 128. The interest obtained by him is:____________?
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A. 12%

B. 12.5%

C. 16%

D. 8%

727. A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
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A. 30 km/hr

B. 35 km/hr

C. 40 km/hr

D. 25 km/hr

728. P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in_________days.
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A. 11

B. 12

C. 9

D. 10

729. How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
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A. 6s

B. 8s

C. 2.08s

D. 7.5s

730. In order to obtain an income of Rs. 650 from 10% stock at Rs. ,96, one must make an investment of___________?
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A. Rs. 6500

B. Rs. 9600

C. Rs. 6240

D. Rs. 3100

731. Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?
0

A. Rs.1210

B. Rs.934

C. Rs.1000

D. Rs.1104

732. Two taps X and Y can fill a tank in 10 hrs. and 15 hrs.respectively. If the both taps are opened together, the tank will be full in_________?
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A. 4 hrs,

B. 3 hrs.

C. 5 hrs.

D. 6 hrs.

733. A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
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A. 44 km/hr

B. 33 km/hr

C. 22 km/hr

D. 66 km/hr

734. If the ratio of the speeds of A and B to cover a distance of 200 m is 3:4, then the ratio of the time taken to cover the same distance is________?
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A. 3:07

B. 5:04

C. 4:3

D. 6:08

735. 2 men and 12 women can finish a job in 4 days. 4 men and 6 women can do the same job in 5 days. Find the time taken by 1 man and 1 woman to complete the job.
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A. 20 days

B. 25 days

C. 30 days

D. 24 days

736. The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
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A. Rs.14200

B. Rs.17520

C. Rs.12000

D. Rs.13500

737. What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
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A. Rs.9630

B. None of these

C. Rs.9680

D. Rs.9650

E. Rs.9610

738. A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?
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A. 75/8 days

B. None of these

C. 44/6 days

D. 48/5 days

739. Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?
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A. 17:30

B. 13:30

C. None of these

D. 17:13

740. A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking.
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A. 9 km

B. 8 km

C. 12 km

D. 10 km

741. The difference between the simple interest and the compound interest on Rs 5000 at 10% P.a for 3 years is:_______?
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A. None of these

B. Rs 150

C. Rs 165

D. Rs 145

E. Rs 180

742. A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
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A. 7.50%

B. 15%

C. 8%

D. 10%

743. P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
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A. 19

B. 8

C. 10

D. 18

744. A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
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A. 31 days

B. 22 days

C. 37 days

D. 22 days

745. A boat having a length 3 m and breadth 2 m is floating on a lake The boat sinks by 1 cm when a man gets on it. The mass of man is :__________?
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A. 12 kg

B. 60 kg

C. 72 kg

D. 96 kg

746. In a journey of 24 miles, two thirds of the distance was travelled with a speed of 40 mph and the remaining with 60 mph. How much time did the journey take?
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A. 28.8 minutes

B. 14.4 minutes

C. 20 minutes

D. 32 minutes

747. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
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A. 12 days

B. 6 days

C. 10 days

D. 8 days

748. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?
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A. 6

B. 4

C. 7

D. 5

749. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half yearly is:_______?
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A. Rs 6.07%

B. Rs 6.09%

C. Rs 6.06%

D. Rs 6.08%

750. A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of__________?
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A. Rs. 120

B. Rs. 80

C. Rs. 115.20

D. Rs. 125.40

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