# Mathematics MCQ (Multiple Choice Questions) - SchoolingAxis

Que- 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?

a. 3 1/4 min

b. 5 1/4 min

c. 8 1/4 min

d. 9 1/4 min

Que- Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?

a. 2 hrs 15 min

b. 4 hrs 24 min

c. 5 hrs

d. 3 hrs

Que- A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?

a. 7 hours

b. 8 hours

c. 14 hours

d. 28 hours

Que- Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?

a. 7 min

b. 13 min

c. 23 min

d. 9 min

Que- A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?

a. 480 liters

b. 600 liters

c. 720 liters

d. 800 liters

Que- Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?

a. 9 1/4 min

b. 11 1/4 min

c. 7 1/4 min

d. 8 1/2 min

Que- 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?

a. 9 min

b. 10 min

c. 11 min

d. 12 min

Que- Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?

a. 19 1/7 min

b. 15 1/7 min

c. 17 1/7 min

d. 7 1/7 min

Que- If the volume and surface area of a sphere is numerically the same then it’s radius is_________?

a. 1 unit

b. 2 units

c. 3 units

d. 4 units

Que- 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_________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?

d. Equal to it’s diameter

Que- The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?

a. 3.0

b. 4.0

c. 5.0

d. 6.0

Que- The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?

a. 24.3 m

b. 243 m

c. 2430 m

d. 24300 m

Que- The radius of a wire is decreased to one –third if volume remains the same length will increase

a. 1 Time

b. 3 times

c. 6 times

d. 9 times

Que- If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?

a. 31-Dec-1899

b. 2√2 : 1

c. 31-Dec-1899

d. None of these

Que- 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__________?

a. 284 cm^2

b. 286 cm^2

c. 296 cm^2

d. 300 cm^2

Que- A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?

a. 1200000.0

b. 1000000.0

c. 9800000.0

d. 7500000.0

Que- 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^2, then length breadth and height in cms, are respectively?

a. 90, 85, 60

b. 85, 75, 60

c. 90, 75, 70

d. 90, 75,60

Que- The surface area of a cube is 726m^2, its volume is?

a. 1300 m^3

b. 1331 m^3

c. 1452 m^3

d. 1542 m^3

Que- The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 0.41944444444444445

Que- Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?

a. 0.0861111111111111

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?

a. 12 cm

b. 10 cm

c. 18 cm

d. 24 cm

Que- 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?

a. 4000.0

b. 5000.0

c. 6000.0

d. 7000.0

Que- If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?

a. 500.0

b. 1000.0

c. 900.0

d. 600.0

Que- A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?

a. 24000.0

b. 23000.0

c. 22000.0

d. 25000.0

Que- In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________?

a. 100 cu.m

b. 1000 cu.m

c. 10000 cu.m

d. 2000 cu.m

Que- If the height of a cone is increased by 100% then its volume is increased by_________?

a. 1.0

b. 2.0

c. 3.0

d. 4.0

Que- 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__________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The length of the longest rod that can fit in a cubical room of 4 m side is?

a. 8.66 m

b. 5.196 m

c. 6.928 m

d. 7.264 m

Que- The area of the cardboard(in cm^2) needed to make a box of size 25 cm * 15 cm * 8 cm will be__________?

a. 1390 cm^2

b. 695 cm^2

c. 1280 cm^2

d. 1220 cm^2

Que- A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?

a. 0.299 cm

b. 0.29 cm

c. 2.98 cm

d. 4.15 cm

Que- 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?

a. 4500 M3

b. 27000 M3

c. 3000 M3

d. 2700 M3

Que- The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm^3 of metal used in the box weighs 0.5 gms, the weight of the box is________?

a. 8.56 kg

b. 7.76 kg

c. 7.756 kg

d. 6.832 kg

Que- The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 6: Ï€

Que- A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m^2 ?

a. Rs.60

b. Rs.57

c. Rs.55

d. Rs.52

Que- How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?

a. 1000.0

b. 600.0

c. 2400.0

d. 1200.0

Que- A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m^2; find the length of the diagonal of the courtyard?

a. 25 m

b. 35 m

c. 45 m

d. 50 m

Que- If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?

a. 31-Dec-1899

b. 31-Dec-1899

c. 02-Jan-1900

d. 31-Dec-1899

Que- Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?

a. 21 cm

b. 19 cm

c. 32 cm

d. 18 cm

Que- The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?

a. 01-Jan-1900

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- How many shots of 1cm radius can be prepared from a sphere of 3cm radius?

a. 36.0

b. 64.0

c. 27.0

d. 16.0

Que- Find the ratio between whole surfaces of a sphere and a hemisphere?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The curved surface of a sphere is 64 Ï€ cm^2. Find its radius?

a. 1 cm

b. 2 cm

c. 4 cm

d. 3 cm

Que- The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.

a. 74 Ï€ cm^2

b. 36 Ï€ cm^2

c. 48 Ï€ cm^2

d. 24 Ï€ cm^2

Que- The area of a base of a cone is 30 cm^2. If the height of the cone is 6cm, find its volume?

a. 120 cm^3

b. 40 cm^3

c. 50 cm^3

d. 60 cm^3

Que- The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?

a. 12 Ï€ cm^3

b. 6 Ï€ cm^3

c. 8 Ï€ cm^3

d. 10 Ï€ cm^3

Que- Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 c. Find the volume of the second cylinder?

a. 360 cc

b. 60 cc

c. 300 cc

d. 36 cc

Que- Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?

a. Rs.1185

b. Rs.1285

c. Rs.1385

d. Rs.1485

Que- The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?

a. 308 sq cm

b. 220 sq cm

c. 440 sq cm

d. 132 sq cm

Que- The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?

a. 30 Ï€ cc

b. 45 Ï€ cc

c. 150 Ï€ cc

d. 180 Ï€ cc

Que- The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?

a. 18 Ï€r2 sq units

b. 3 Ï€r2 sq units

c. 12 Ï€r2 sq units

d. 6 Ï€r2 sq units

Que- The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?

a. 2.66 cm

b. 2.5 cm

c. 3 cm

d. 3.5 cm

Que- If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm^2) is________?

a. 100Ï€

b. 7Ï€

c. 60Ï€

d. 50Ï€

Que- The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 0.0861111111111111

Que- The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?

a. 10 cm

b. 12 cm

c. 15 cm

d. 13 cm

Que- Find the length of the wire required to go 15 times round a square field containing 69696 m^2.

a. 15840 m

b. 16840 m

c. 15820 m

d. 15640 m

Que- The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?

a. 8 cm

b. 12 cm

c. 14 cm

d. 10 cm

Que- The area of the floor of a room is 20 m^2 that of a longer wall 15 m^2 and of the shorter wall 12 m^2, find the edge of the new cube?

a. 450 m^3

b. 100 m^2

c. 60 m^3

d. 400 m^3

Que- If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.

a. 5 cm

b. 19 cm

c. 13 cm

d. 144 cm

Que- The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?

a. 120 cm^3

b. 120 cm^2

c. 148 cm^2

d. 15 cm^3

Que- The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?

a. 120 cm^2

b. 148 cm^2

c. 74 cm^2

d. 15 cm^2