SNAP Mensuration Practice Questions With Solutions

Registration Starts On August 01, 2025

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SNAP Quantitative, Data Interpretation & Data Sufficiency Mensuration Practice Questions

Question 1.

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If h,c,v,h, c, v, are the height, the curved surface area and the volume of a cone, then 3πvh33\pi vh^3 is

Question 2.

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In the following diagram there are four semi circular arcs and a shaded region. The diameter of largest semi circle is 28cm and of the smallest is 7cm. The area of shaded region is

Question 3.

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An umbrella is made by stitching 10 triangular pieces of cloth of two different colours each piece measuring 30cm, 60cm, 60cm. How much cloth of each colour is required for Umbrella?

Question 4.

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In the figure given below, a Cylinder is inserted into a cone and the vertical height of the cone is 30 cm. The diameter of the cylinder is 8. What is the volume of the cone? The base of the cylinder and the base of the cone are on the same plane.

Question 5.

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As shown in the figure, there is a square of 24 cm. A circle is inscribed inside the square. Inside the circle are four circles of equal radius which are inscribed. The total area of the shaded region in the figure given below is ________

Question 6.

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The cost of the paint is 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side?

Question 7.

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A horse take 2122\frac{1}{2} seconds to complete a round around a circular field. If the speed of the horse was 66 m/sec, then the radius of the field is,
[Given π=227\pi = \frac{22}{7}]

Question 8.

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The cost of fencing a circular plot at the rate of Rs.15 per m is ` 3300. What will be the cost of flooring the plot at the rate of Rs.100 per sq m?

Question 9.

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A 4 cm cube is cut into 1cm cubes. What is the percentage increase in the surface area after such cutting?

Question 10.

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A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

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Question 1.

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A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed?

Question 2.

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The radius of a wire is decreased to one - third and its volume remains the same. The new length is how many times the original length?

Question 3.

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If C1 and C2 are the circumferences of the outer and inner circles respectively. What is C1 : C2?
(I) The two circles are concentric.
(II) The area of the ring is 23\frac{2}{3} the area of greater circle.

Question 4.

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How many ice cubes can be accommodated in a container?
(I) The length and breadth of the container is 20 cm and 15 cm respectively.
(II) The edge of the ice cube is 2 cm.

Question 5.

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Consider a square ABCD with midpoints E, F, G and H of sides AB, BC, CD and DA. Let L denote the line passing through F and H. Consider points P and Q on the line L inside the square such that the angles APD and BQC are both equal 120 degrees. What is the ratio ABQCDP to the remaining area of ABCD?

Question 6.

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66 cubic centimetres of silver is drawn into a wire of 1mm diameter. The length of the wire in metres will be :

Question 7.

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If the length, breadth and height of the room are in the ratio 3:2:1. The breadth and height of the room are halved and length of the room is doubled. Then area of the four walls of the room will,

Question 8.

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The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by

Question 9.

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The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6 cm x 2 cm, is

Question 10.

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The cost of levelling and turfing a square field at Rs. 160 per hectare is Rs. 2624.40. The cost of
surrounding it with a railing costing 25 paise per metre is:

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