Class 10 Maths Objective Test

Avanti - 10M11+10M13 - Constructions + Surface Areas & Volumes Objective Test - Set A Tes t Code: X-X-11-16 Set A INST RUCT IONS 1. T his paper has 15 questions. 2. All questions are compulsory. 3. Each question has four options, out of which ONLY ONE is correct. 4. Questions from 1-10 carry 1 marks each. T hese questions carry no negative marking. 5. Questions from 11-15 carry 2 marks each. T hese questions carry no negative marking. Maximum T ime: 30 Minutes Total Marks: 20 Name:_____________________________ Roll Number:__________________ Q1. In the given figure, if SECT ION I-MAT HS , then divides internally in the ratio: A) B) C) D ) Q2. If denotes the total surface area of a sphere of radius and denotes the total surface area of a cylinder of base radius and height , then A) B) C) D ) . Q3. T he volume of a frustum of a cone of height and base radii and is A) B) C) D) Q4. Statement I: No. of spherical balls that can be made out of a solid cube of lead Statement II: If the radius of a cone is halved and volume is not changed, then height must become four times of the original height. A) Both statements are true B) Only statement I is true C) Only statement II is true D ) Both statements are false Q5. If is the radius and is the semi vertical angle of a right circular cone, then its curved surface area is given by A) B) C) D ) Avanti Learning Centres Pvt Ltd. All rights reserved. Page - 1 / 3

Avanti - 10M11+10M13 - Constructions + Surface Areas & Volumes Objective Test - Set A Q6. To draw a pair of tangents to a circle which are inclined to each other at an angle of , it is required to draw tangents at the end points of those two radii of the circle, the angle between which should be: A) B) C) D ) Q7. From a wooden cube of side , a right circular cylinder of maximum volume is cut. Find the volume of this cylinder. C) D) A) B) Q8. Statement I: When the scale factor is equal to zero, we get two congruent triangles. Statement II: We always use the smaller number from the scale factor to divide the acute angle drawn from the base line. A) Both statements are true B) Statement I is true C) Statement II is true D ) Both statements are false Q9. If a cone is cut into two parts by a horizontal plane passing through the mid-point of the axis, the ratio of the volumes of the upper part and the original cone is A) B) C) D ) . Q10. A cylinder of height and base radius is stretched along its height so that its height gets doubled. Which of the following statements is/are true? I. Volume of the cylinder will change II. Surface area of the cylinder will change III. Its radius will get halved A) I, II and III B) I and II C) II only D ) III only Q11. A right triangular prism is combined with a cuboid as shown in the figure. Calculate the volume of the given combined solid. A) B) C) D ) Q12. In how much time will the level of water in a cuboidal pond long and wide, rise by , if water is flowing into it at the rate of through a pipe of diameter ? A) B) C) D ) Q13. Statement I: Length of line segment is times the length of line segment . Statement II: Line segment is divided in the ratio at point If and are positive integers, then, what is the relationship between and ? A) B) C) D ) None of these Q14. A metal container is in the form of a cylinder having height and radius surmounted by a hemisphere of the same radius. Find the total surface area of the container. A) B) C) D ) None of these Avanti Learning Centres Pvt Ltd. All rights reserved. Page - 2 / 3

Avanti - 10M11+10M13 - Constructions + Surface Areas & Volumes Objective Test - Set A Q15. Statement I: It is possible to divide a line segment in the ratio using compass and scale. Statement II: A pair of tangents can be constructed to a circle of radius from a point which is at a distance of from the centre. A) Both statements are true B) Only statement I is true C) Only statement II is true D ) Both statements are false Avanti Learning Centres Pvt Ltd. All rights reserved. Page - 3 / 3