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### MCQ Questions for Class 10 Mathematics with Answers

### Q1. If the volume of a cube is 343 cm , then its edge is

(i) 9cm

(ii) 8cm

(iii) 49cm

(iv) 7cm

(iv) 7cm

## Q2. A shuttlecock used for playing badminton has the shape of the combination of

(i) a cylinder and a sphere

(ii) a sphere and a cone

(iii) a cylinder and a hemisphere

(iv) frustum of a cone and a hemisphere

(iv) frustum of a cone and a hemisphere

## Q3. If we cut a cone in two parts by a plane parallel to the base, then the bottom part left over is the:

(i) Cone

(ii) Frustum of cone

(iii) Sphere

(iv) Cylinder

(ii) Frustum of cone

## Q4. A solid formed on revolving a right angled triangle about its height is

(i) cylinder

(ii) sphere

(iii) right circular cone

(iv) two cones

(iii) right circular cone

## Q5. The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:

(i) 9 : 4

(ii) 4 : 9

(iii) 3 : 2

(iv) 2 : 3

(i) 9 : 4

#### Q6. A cuboidal metal of dimensions 44 cm × 30 cm × 15 cm was melted and cast into a cylinder of height 28 cm. Its radius is :

(i) 10 cm.

(ii) 12 cm.

(iii) 15 cm.

(iv) 20 cm.

(iii) 15 cm.

### Q7. A solid sphere and a solid hemisphere have the same total surface area. Find the ratio of their volumes.

(i) √3 :1

(ii) 3√3 :5

(iii) 3√3 : 4

(iv) 1: √3

(iii) 3√3 : 4

### Q8. The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is:

(i) 4.2

(ii) 2.1

(iii) 8.1

(iv) 1.05

(ii) 2.1

## Q9. If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will

(i) Increase

(ii) Decrease

(iii) Remains unchanged

(iv) Doubles

(iii) Remains unchanged

### Q10. The volume of a sphere is 4851 cm³. Its diameter is

(i) 3.5 cm

(ii) 7 cm

(iii) 14 cm

(iv) 21 cm

(iv) 21 cm

#### Q11. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

(i) 27 : 20

(ii) 20 : 27

(iii) 9 : 4

(iv) 4 : 9

(ii) 20 : 27

#### Q12. A piece of metal pipe is 66 cm long with inside diameter of the cross section is 4 cm. If the outer diameter is 5.5 cm and the metal weighs 7 gm/cu cm, the weight of pipe is :

(i) 5.754 kg.

(ii) 5.187 kg.

(iii) 5.172 kg.

(iv) 4.154 kg.

(iii) 5.172 kg.

##### Q13. Two right circular cones X and Y are made such that X has a radius three times the radius of Y and Y has a volume half the volume of X. What is the ratio of heights of X and Y?

(i) 5 : 8

(ii) 4 : 7

(iii) 2 : 9

(iv) 3 : 5

(iii) 2 : 9

## Q14. A surahi is the combination of:

(i) a sphere and a cylinder

(ii) a hemisphere and a cylinder

(iii) two hemispheres

(iv) a cylinder and a cone

(i) a sphere and a cylinder

#### Q15. The radius of the top and bottom of a bucket of slant height 35 cm are 25 cm and 8cm. The curved surface of the bucket is:

(i) 4000 sq.cm

(ii) 3500 sq.cm

(iii) 3630 sq..cm

(iv) 3750 sq.cm

(iii) 3630 sq..cm

### Q16. The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is

(i) 55 cm²

(ii) 110 cm²

(iii) 220 cm²

(iv) 440 cm²

(iii) 220 cm²

## Q17. If the volumes of a cube is 1728 cm³, the length of its edge is equal to:

(i) 7 cm

(ii) 12 cm

(iii) 18 cm

(iv) 19 cm

(ii) 12 cm

##### Q18. A conical flask has base of radius ‘a’ cm and height of ‘h’ cm. It is completely filled with milk. The milk is poured into a cylindrical thermos flask, whose base is of radius p cm. The height of the solution level in the flask is :

(i) h/3p²

(ii) ha2 /3p2²

(iii) ha2 /3p

(iv) ha /3p²

(ii) ha2 /3p2²

##### Q19. The largest possible cube is made from a wooden sphere of radius 6√3cm cm. Find the surface area of the cube.

(i) 864cm²

(ii) 542cm²

(iii) 735cm²

(iv) 625cm²

(i) 864cm²

## Q20. A shuttlecock used for playing badminton has the shape of the combination of

(i) a cylinder and a sphere

(ii) a sphere and a cone

(iii) a cylinder and a hemisphere

(iv) frustum of a cone and a hemisphere

(iv) frustum of a cone and a hemisphere

## Q21. If we join two hemispheres of same radius along their bases, then we get a;

(i) Cone

(ii) Cylinder

(iii) Sphere

(iv) Cuboid

(iii) Sphere

#### Q22. The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is

(i) 10 cm

(ii) 12 cm

(iii) 15 cm

(iv) 16 cm

(ii) 12 cm

### Q23. The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:

(i) 2 : 3

(ii) 3 : 2

(iii) 8 : 27

(iv) 4 : 9

(iv) 4 : 9

## Q24. The volumes of two spheres are in the ratio 125 : 64. The ratio of their surface areas is

(i) 9 : 16

(ii) 16 : 9

(iii) 25 : 16

(iv) 16 : 25

(iii) 25 : 16

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## MCQ Questions for Class 10 Mathematicss with Answers

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**