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

mathematics Mcqs

2301. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
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A. 51 m

B. 34 m

C. 8.5 m

D. 17 m

2302. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
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A. Rs. 3642.40

B. Rs. 3868.80

C. Rs. 4082.40

D. Rs. 4216.20

2303. An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
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A. 6:05

B. 8 : 7

C. 4:01

D. 4:03

2304. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
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A. 315 cm2

B. 312 cm2

C. 130 cm2

D. 120 cm2

2305. A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
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A. 45 cm2

B. 60 cm2

C. 15 cm2

D. 30 cm2

2306. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
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A. 10000

B. 100

C. 10

D. 1000

2307. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
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A. 315 cm2

B. 225 cm2

C. 275 cm2

D. 285 cm2

2308. From a point P on a level ground, the angle of elevation of the top of a tower is 30. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?
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A. 156 m

B. 149 m

C. 173 m

D. 200 m

2309. The angle of elevation of the sun, when the length of the shadow of a tree is ?3 times the height of the tree, is :________?
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A. 30

B. 60

C. 45

D. 90

2310. If the height of a pole is 2?3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
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A. 80

B. 50

C. 60

D. 70

2311. The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?
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A. 7.8 m

B. 9.2 m

C. 2.3 m

D. 4.6 m

2312. The top of a 15 metre high tower makes an angle of elevation of 60 with the bottom of an electric pole and angle of elevation of 30 with the top of the pole. What is the height of the electric pole ?
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A. 5 metres

B. 12 metres

C. 10 metres

D. 8 metres

2313. Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30 and 45 respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?
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A. 300 m

B. 273 m

C. 173 m

D. 200 m

2314. 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. 6 hrs.

B. 5 hrs.

C. 4 hrs,

D. 3 hrs.

2315. 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. 3

B. 4

C. 2

D. 1

2316. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?
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A. 2:01

B. 1:03

C. 4:3

D. 2:03

2317. 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. 10

B. 19

C. 8

D. 18

2318. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
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A. 2700

B. 1080

C. 450

D. 1800

2319. P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
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A. 7

B. 8

C. 9

D. 10

2320. 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. 8 hour 15 minutes

B. 8 hour 30 minutes

C. 7 hour 30 minutes

D. 7 hour 15 minutes

2321. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in___________?
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A. 15 days

B. 12 days

C. 8 days

D. 10 days

2322. If two pipes function together, the cistern will be filled in 6 hrs. One pipe fills the cistern 5 hrs. faster than the other. How many hours it take the second pipe to fill the cistern?
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A. 10 hrs

B. 20 hrs

C. 5 hrs

D. 15 hrs

2323. 4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.
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A. 8 days

B. 15 days

C. 10 days

D. 20 days

2324. 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. 12

C. 2

D. 8

2325. A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in_______days.
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A. 6 5?11

B. 5 5?11

C. 4 5?11

D. 6 4?11

2326. 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. 12,566 litres.

B. None of thes

C. 12,444 litres

D. 12,342 litres.

2327. Two pipes can fill a tank in 10 hrs. and 12 hrs. respectively while a third pipe empties the full tank in 20 hrs. If all the three pipes operate together , in how much time the tank will be filled ?
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A. 7.5 hrs

B. 7 hrs

C. None of these

D. 5 hrs

2328. 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

2329. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day ?
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A. 12 days

B. 16 days

C. 18 days

D. 15 days

2330. 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. 40 Rs.

B. 45 Rs.

C. None of these

D. 35 Rs.

2331. 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. 4:3

B. 5:04

C. 3:04

D. 5:03

2332. 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. 6 days

B. 12 days

C. 10 days

D. 8 days

2333. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
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A. 16

B. 15

C. 18

D. 14

2334. A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?
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A. 4(2/3) days

B. 1(1/3) days

C. 4 days

D. 5(1/3) days

2335. 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. 20 Rs.

B. 15 Rs,

C. 25 Rs.

D. 10 Rs,

2336. A tank can be filled by a pipe in 20 min. and by another pipe in 60 min. Both the pipes are kept open for 10 min. and then the first pipe is shut off. After this, the tank will be completely filled in__________?
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A. 20 min

B. 30 min

C. 10 min

D. 40 min

2337. P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
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A. 9 days

B. 15 days

C. 10 days

D. 14 days

2338. 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. 16 days

B. 18 days

C. 12 days

D. 14 days

2339. If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?
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A. 1

B. 25

C. 5

D. 10

2340. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
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A. 15

B. 14

C. 16

D. 13

2341. P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
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A. 8

B. 2

C. 4

D. 6

2342. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
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A. Rs.40

B. Rs.100

C. Rs.70

D. Rs.90

2343. Two pipes P and Q can fill a cistern in 12 min. and 15 min. respectively but a third pipe R can empty the full tank in 6 min. P and Q are kept open for 5 min. in the beginning and then R is also opened. In what time is the cistern emptied ?
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A. 35 min

B. 40 min

C. 45 min

D. 30 min

2344. P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
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A. 9

B. 11

C. 13

D. 23

2345. P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.
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A. 22

B. 20

C. 15

D. 12

2346. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman ?
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A. 5:03

B. Data inadequate

C. 3:04

D. 4 : 3

2347. A cistern has two taps which fill it in 12 min. and 15 min.respectively There is one outlet pipe in the cistern. When all the taps & pipe are opened, the empty cistern is full in 20 min. How long will the waste pipe (outlet) take to empty the full cistern ?
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A. 10 min

B. 40 min

C. 20 min

D. 30 min

2348. If 28 men can finish a work in 15 days, 21 men can finish the same work in___________?
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A. 20 days

B. 14 days

C. 15 days

D. 24 days

2349. 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. 50 days

C. 70 days

D. 120/7 days

2350. Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.
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A. 85 days

B. 118 days

C. 126 days

D. 136 days

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