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

mathematics Mcqs

1501. A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
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A. 3000 M<sup>3</sup>

B. 4500 M3

C. 2700 M<sup>3</sup>

D. 27000 M<sup>3</sup>

1502. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?
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A. 55

B. 54.68

C. None of these

D. 53.33

1503. Find the area of a parallelogram with base 24 cm and height 16 cm.
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A. 384 cm2

B. 262 cm2

C. 192 cm2

D. 131 cm2

1504. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
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A. 192 min.

B. 144 min.

C. 81 min.

D. 108 min.

1505. pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
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A. after 8 1/2 mins

B. after 12 mins

C. after 10 mins

D. after 9 mins

1506. If four coins are tossed, the probability of getting two heads and two tails is__________?
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A. 11-Jun

B. 3/8

C. 5-Apr

D. 5-Feb

1507. A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?
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A. 1:03

B. 3:1

C. 2:01

D. 1:02

1508. A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
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A. 3 hrs 45 min

B. 4 hrs

C. 3 hrs 15 min

D. 4 hrs 15 min

1509. Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?
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A. 3 1/4 min

B. 8 1/4 min

C. 9 1/4 min

D. 5 1/4 min

1510. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
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A. 9:25

B. 3:05

C. 6:25

D. 16:25

1511. A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?
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A. 284 cm<sup>2</sup>

B. 286 cm2

C. 300 cm<sup>2</sup>

D. 296 cm<sup>2</sup>

1512. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
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A. 5/6

B. 8-Mar

C. 8-May

D. 6-Jan

1513. Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?
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A. 16

B. 19

C. 17

D. 18

1514. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
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A. 352 m

B. 808 m

C. 252 m

D. 704 m

1515. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
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A. 49 cm2

B. 42 cm2

C. None of these

D. 25 cm2

1516. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
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A. 2:01

B. 27:20:00

C. 25 : 18

D. 3:02

1517. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
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A. 5/9

B. 9-Jul

C. 9-Aug

D. 9-Apr

1518. A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the room?
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A. 96

B. 117

C. 110

D. 124

1519. (i). a<sup>2
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A. If a ? b

B. If the relationship between a and b cannot be established

C. If a < b

D. If a ? b

1520. If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm<sup>2
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A. 85, 75, 60

B. 90, 75, 70

C. 90, 85, 60

D. 90, 75,60

1521. If a and b are the roots of the equation x<sup>2
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A. 1

B. -21

C. 21

D. 61

1522. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full the leak will empty it in.
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A. 25 hrs

B. 20 hrs

C. 16 hrs

D. 40 hrs

1523. Find the roots of quadratic equation: x<sup>2
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A. -7, 6

B. 14, -3

C. -6, 7

D. -8, 7

1524. Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
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A. 28 hrs

B. 35 hrs

C. 25 hrs

D. 20 hrs

1525. The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?
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A. 243 m

B. 24300 m

C. 2430 m

D. 24.3 m

1526. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
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A. 9:01

B. 27:01:00

C. 1:27

D. 1:09

1527. Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
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A. 5000

B. 7000

C. 4000

D. 6000

1528. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?
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A. 2:05

B. 3:05

C. 3:01

D. 1: 3

1529. I. a<sup>3
0

A. If a < b

B. If a ? b

C. If a ? b

D. If a > b

1530. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________?
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A. 90 cm

B. 1.1 cm

C. 1 dm

D. 1 m

1531. A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
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A. 70 min

B. 80 min

C. 48 min

D. 60 min

1532. The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?
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A. 12

B. 16

C. 6

D. 8

1533. A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
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A. 15

B. 8

C. 7.5

D. 10

1534. The area of the floor of a room is 20 m<sup>2
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A. 100 m<sup>2</sup>

B. 450 m<sup>3</sup>

C. 400 m<sup>3</sup>

D. 60 m3

1535. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
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A. 11-May

B. 11-Jul

C. 11-Aug

D. 6/11

1536. Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
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A. 36 cc

B. 300 cc

C. 60 cc

D. 360 cc

1537. I. x<sup>2
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A. If x ? y

B. If x ? y

C. If x < y

D. If x > y

1538. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
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A. 6 hrs

B. 10 hrs

C. 30 hrs

D. 15 hrs

1539. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
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A. 5 hrs

B. 7.2 hrs

C. 4.5 hrs

D. 6.5 hrs

1540. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
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A. 7

B. 6.75

C. 6.25

D. 6.5

1541. A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?
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A. 48km/h

B. 45km/h

C. 50km/h

D. 36km/h

1542. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
0

A. 1020

B. 1030

C. 1022

D. 1026

1543. Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
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A. 12 min

B. 9 min

C. 10 min

D. 11 min

1544. The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
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A. 400 cm

B. 600 cm

C. 1000 cm

D. 800 cm

1545. Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
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A. 20

B. 23

C. 24

D. None of these

1546. The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
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A. 0.086111111

B. 1:16

C. 1:04

D. 1:8

1547. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
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A. 50 min

B. 25 min

C. 12 min

D. 15 min

1548. The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
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A. Rs. 3600

B. Rs. 4800

C. Rs. 4530

D. Rs. 3560

1549. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
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A. 11 min 45 sec

B. 12 min 30 sec

C. 10 min 20 sec

D. 14 min 40 sec

1550. If six persons sit in a row, then the probability that three particular persons are always together is____________?
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A. 10-Mar

B. 20-Jan

C. 5-Apr

D. 1/5

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