MCQ Questions For Class 10 Mensuration

Mensuration Class 10 MCQ is one of the best strategies to prepare for the CBSE Class 10 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Mensuration class 10, which will help them all through their board test.

Mensuration Class 10 MCQ Questions with Answers

Class 10 Math MCQ with answers are given here to chapter 16 Mensuration. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 10 Mathematics syllabus. By Solving these Class 10 MCQs, you will be able to analyze all of the concepts quickly in the chapter and get ready for the Class 10 Annual exam.

Learn Circle Class 10 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 10 Mathematics Quadratic Equation MCQ with answers given below.

Question 1. 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

Question 2. 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

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

Question 4. 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

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

Question 6. 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

Question 7. 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

Question 8. 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

Question 9. 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

Question 10. 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

Question 11. 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

Question 12. 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

Question 13. 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

Question 14. 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

Question 15. 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

Question 16. 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

Question 17. 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 

Question 18. 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

Question 19. 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

Question 20. 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

Question 21. 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

Question 22. 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

Question 23. 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

Question 24. 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

Question 25. 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

Whoever needs to take the CBSE Class 10 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 10 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Mensuration Class 10 MCQ are ready by the subject specialists themselves.

Question 26. 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

Question 27. 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

Question 28. 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

Question 29. 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

Question 30. 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 cm² 
(d) π/4 cm²

Question 31. 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

Question 32. 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%

Question 33. 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%

Question 34. 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

Question 35. 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

Question 36. 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

Question 37. 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

Question 38. 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

Question 39. 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

Question 40. 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

Question 41. 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

Question 42. 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%

Question 43. 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

Question 44. 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

Question 45. 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

Question 46. 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 cm² 
(b) 3 √2-π cm ³
(c) 2 √3/π cm² 
(d) None of these

Question 47. 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

Question 48. A person wishes to make a 100 sq. m rectangular garden. Since he has only 30 m barbed wire for fencing, he fences only three sides letting the house wall act as the fourth side. The width of the garden is:     
(a) 10 m
(b) 5 m
(c) 50 m
(d) 100 m

Question 49. 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

Question 50. 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

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