# MCQ Questions For Class 10 Mensuration

Students can refer to the following MCQ Questions for Class 10 Mensuration with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Mensuration Class 10 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Class 10 Mensuration MCQs Questions with Answers

We have provided below chapter wise MCQs questions for Class 10 Mensuration with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Mensuration MCQs in Class 10 pdf download can be really scoring for students, you should go through all problems and MCQ Questions for Class 10 Maths provided below so that you are able to get more marks in your exams.

Question. A cylinder circumscribes a sphere. The ratio of their volumes is :
(a) 1 : 2
(b) 3 : 2
(c) 4 : 3
(d) 5 : 6

B

Question. A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :
(a) 3 : 1
(b) 2 : 1
(c) 1 : 2
(d) 1 : 3

B

Question. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be :
(a) 20 cm
(b) 25 cm
(c) 35 cm
(d) 50 cm

B

Question. A hemispherical basin 150 cm in diameter holds water one hundred and twenty times as much a cylindrical tube. If the height of the tube is 15 cm, then the diameter of the tube (in cm) is:
(a) 23
(b) 24
(c) 25
(d) 26

C

Question. A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu. m, how many men are there in the bath?
(a) 42
(b) 46
(c) 32
(d) 36

D

Question. A river 3 m deep and 60 m wide is flowing at the rate of 2.4 km/h. The amount of water running into the sea per minute is:
(a) 6000 m3
(b) 6400 m3
(c) 6800 m3
(d) 7200 m3

D

Question. A cylinder circumscribes a sphere. The ratio of their volumes is:
(a) 1 : 2
(b) 3 : 2
(c) 4 : 3
(d) 5 : 6

B

Question. The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is :
(a) 3040
(b) 5740
(c) 6080
(d) 8120

C

Question. A right circular cone of radius 4 cm and slant height 5 cm is carved out from a cylindrical piece of wood of same radius and height 5 cm. The surface area of the remaining wood is :
(a) 84π
(b) 70 π
(c) 76π
(d) 50π

C

Question. What is the ratio of the curved surface area of the original cone and the curved surface area of the frustum ?
(a) 3 : 1
(b) 3:2
(c) 4:1
(d) 4:3

D

Question. If h, s, V be the height, curved surface area and volume of a cone respectively, then (3pVh3 + 9V2 − s2h2) is equal to :
(a) 0
(b) π
(c) V sh
(d) 36 V

D

Question. The radius of a cone is √2 times the height of the cone. A cube of maximum possible volume is cut from the same cone. what is the ratio of the volume of the cone to the volume of the cube?
(a) 3.18 π
(b) 2.25 π
(c) 2.35
(d) can’t be determined

B

Question. If a sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is :
(a) 2π R3
(b) 8π R3
(c) 4 3 π R3
(d) None

A

Question. If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes is :
(a) 8 : 25
(b) 8 : 26
(c) 8 : 27
(d) 8 : 28

C

Question. A blacksmith has a rectangular iron sheet 10 ft long. He has to cut out 7 circular discs from this sheet. What is the minimum possible width of the iron sheet if the radius of each disc is 1 ft?
(a) 2 √3ft
(b) (2 + √3)ft
(c) (3 +√2)ft
(d) (2 +2 √3)ft

B

Question. A cone is made of a sector with a radius of 14 cm and an angle of 60°. What is total surface area of the cone?
(a) 119.78 cm2
(b) 191.87 cm2
(c) 196.5 cm2
(d) None of these

A

Question. The total surface area of a cuboid is 846 cm2. Find the volume if the dimensions are proportional to 5 : 4 : 3.
(a) 1500 cm3
(b) 1600 cm3
(c) 1260 cm3
(d) 1620 cm3

D

Question. A cubical cake is cut into several smaller cubes by dividing each edge in 7 equal parts. The cake is cut from the top along the two diagonals forming four prisms. Some of them get cut and rest remained in the cubical shape. A complete cubical (smaller) cake was given to adults and the cut off part of a smaller cake is given to a child (which is not an adult). If all the cakes were given equally each piece to a person, total how many people could get the cake?
(a) 343
(b) 448
(c) 367
(d) 456

B

Question. A large solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m. What is the percentage increase in the surface area of the smaller spheres over that of the large sphere?
(a) 200%
(b) 400%
(c) 500%
(d) Can’t be determined

B

Question. What is the ratio of the volume of the original cone to the volume of the frustum left?
(a) 4 /3
(b) 7/ 8
(c) 8/ 7
(d) 9/ 8

C

Question. If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original?
(a) 0.25 kg
(b) 0.50 kg
(c) 0.75 kg
(d) 1 kg

A

Question. A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs ` 80 per m2, the cost of the material used in the box is :
(a) ` 281.60
(b) ` 290
(c) ` 340.50
(d) ` 500

A

Question. The volume of a cylinder is 48.125 cm3, which is formed by rolling a rectangular paper sheet along the length of the paper. If a cuboidal box (without any lid i.e., open at the top) is made from the same sheet of paper by cutting out the square of side 0.5 cm from each of the four corners of the paper sheet, then what is the volume of this box ?
(a) 20 cm3
(b) 38 cm3
(c) 19 cm3
(d) None

A

Question. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
(a) 84
(b) 90
(c) 168
(d) 336

A

Question. Consider the volumes of the following :
1.A parallelopiped of length 5 cm, breadth 3 cm and height 4 cm
2.A cube of each side 4 cm
3.A cylinder of radius 3 cm and length 3 cm
4.A sphere of radius 3 cm
The volumes of these in the decreasing order is :
(a) 1, 2, 3, 4
(b) 1, 3, 2, 4
(c) 4, 2, 3, 1
(d) 4, 3, 2, 1

D

Question. Sixteen cylindrical cans, each with a radius of 1 unit, are placed inside a cardboard box four in a row. If the cans touch the adjacent cans and or the walls of the box, then which of the following could be the interior area of the bottom of the box in square units?
(a) 16
(b) 32
(c) 64
(d) 128

C

Question. The areas of three adjacent faces of a cuboid are x, y and z. If the volume of the cuboid is V, then V2 is equal to :
(a) xyz
(b) xy + yz + zx
(c) (xyz)2
(d) None of these

A

Question. If the weight of a spherical shell is 7/8th of what it would be if it were a solid shell. The ratio of inner to outer radii of the shell is :
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) 3 : 4

A

Question. The number of spherical bullets that can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter is
(a) 2500
(b) 2544
(c) 2541
(d) 2514

C

Question. If a solid right circular cylinder is made of iron is heated to increase its radius and height by 1 % each, then the volume of the solid is increased by :
(a) 1.01%
(b) 3.03%
(c) 2.02%
(d) 1.2%

B

Question. The area of largest circle that can be drawn inside a retangle with side 18 cm by 14 cm is
(a) 49 cm2
(b) 154 cm2
(c) 378 cm2
(d) 1078 cm2

B

Question. There are two circles intersecting each other. Another smaller circle with centre O, is lying between the common region of two larger circles. Centre of the circle (i.e., A, O and B) are lying on a straight line. AB = 16 cm and the radii of the larger circles are 10 cm each. What is the area of the smaller circle?
(a) 4π cm2
(b) 2π cm2
(c) 4/ π cm
(d) π/4 cm2

A

Question. If the perimeter of an isosceles right triangle is (6 + 3√2 )m then the area of the triangle is:
(a) 4.5 m2
(b) 5.4 m2
(c) 9 m2
(d) 81 m2

A

Question. In the adjoining figure ACB is a quadrant with radius ‘a’. A semicircle is drawn outside the quadrant taking AB as a diameter. Find the area of shaded region :

(a) 1/4( π2a2)
(b) (1/4)( πa2-a2
(c) a2/ 2
(d) Can’t be determined

C

Question. If the length and width of a rectangular garden plot were each increased by 20 percent, then what would be the percent increase in the area of the plot?
(a) 20%
(b) 24%
(c) 36%
(d) 44%

D

Question. The ratio of the areas of the incircle and the circumcircle of a square is
(a) 1 : √2
(b) 1 : √3
(c) 1 : 4
(d) 1 : 2

D

Question. The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4 . If the perimeter is 52 cm, then the length of the smallest side is:
(a) 9 cm
(b) 10 cm
(c) 11 cm
(d) 12 cm

D

Question. A roller 150 cm long has diameter 70 cm. To level a playground, it takes 750 complete revolution. The cost of levelling the playground at the rate of Rs. 2 per m2 is
(a) Rs. 5000
(b) Rs. 2950
(c) Rs. 4500
(d) Rs. 4950

D

Question. The length of a rope by which cow must be tethered in order that it may be able to graze an area of 9856 sq. meters is:
(a) 56 m
(b) 64 m
(c) 88 m
(d) 168 m

A

Question. A horse is placed for grazing inside a rectangular field of 70 m by 52 m and is tethered to one corner by a rope 21 m long. On how much area can it graze?
(a) 386.5 m2
(b) 325.5 m2
(c) 346.5 m2
(d) 246.5 m2

C

Question. ABCD is a square, 4 equal circles are just touching1. ABCD is a square, 4 equal circles are just touchingeach other whose centres are the vertices A, B, C,D of the square. What is the ratio of the shaded tothe unshaded area within square?

(a) 8/ 11
(b) 3 /11
(c) 5 /11
(d) 6/ 11

B

Question. There are two concentric circles whose areas are in the ratio of 9 : 16 and the difference between their diameters is 4 cm. What is the area of the outer circle?
(a) 32 cm2
(b) 64p cm2
(c) 36 cm2
(d) 48 cm2

B

Question. The length of each side of a square is + 3x /4 +1 . What is the perimeter of the square?
(a) x + 1
(b) 3x + 1
(c) 3x + 4
(d) 9/16x2 + 3/2x + 1

C

Question. If the radius of a circle is increased by 100%, then the area of the circle increases by:
(a) 100%
(b) 200%
(c) 300%
(d) 400%

C

Question. In the figure below, ABCDEF is a regular hexagon and ÐAOF=90°. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?1)

(a) 1/ 12
(b) 1/ 6
(c) 1/24
(d) 1/18

A

Question. A triangle and a parallelogram are constructed on the same base such their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is:
(a) 100 m
(b) 200 m
(c) 100 √2 m
(d) 10 √2 m

B

Question. The wheel of a cycle covers 660 metres by making 500 revolutions. What is the diameter of the wheel (in cm) ?
(a) 42
(b) 21
(c) 30
(d) 60

A

Question. Three circles of equal radii touch each other as shown in figure. The radius of each circle is 1 cm. What is the area of shaded region?

(a) (2√3-π/2 cm
(b) 3 √2-π cm 3
(c) 2 √3/π cm
(d) None of these

A

Question. Twenty nine times the area of a square is one square metre less than six times the area of the second square and nine times the side of it exceeds the perimeter of other square by one metre. The difference in sides of these squares is
(a) 5 m
(b) 54/11 m
(c) 11 m
(d) 6 m