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Solids - Past Year Questions

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Q1:

Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is 564 cm2564 \ \text{cm}^2. Then the possible values of the sum of their volumes are
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Option: 1
Correct Answer
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Q2:

The number of whole metallic tiles that can be produced by melting and recasting a circular metallic plate, if each of the tiles has a shape of a right-angled isosceles triangle and the circular plate has a radius equal in length to the longest side of the tile (Assume that the tiles and plate are of uniform thickness, and there is no loss of material in the melting and recasting process) is
12
Correct Answer
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Q3:

If each side of a cube is decreased by 19%19 \%, then the decrease in surface area is :
Answer options
Option: 2
Correct Answer
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Q4:

A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:

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Option: 2
Correct Answer
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Q5:

Given below are two statements:

Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm3 (Take π = 22/7).

Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm2 (Take π= 22/7).

In light of the above statements, choose the most appropriate answer from the options given below.

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Option: 1
Correct Answer
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Q6:

The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. Then the ratio of their heights is:

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Option: 3
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Q7:

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is:

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Option: 2
Correct Answer
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Q8:

Floor of a room is 15 m 17 cm15 \text{ m } 17 \text{ cm} long and 9 m 2 cm9 \text{ m } 2 \text{ cm} broad. What is the least number of square tiles required to pave the floor?
Answer options
Option: 3
Correct Answer
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Q9:

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5 m2m^{2} is
Answer options
Option: 2
Correct Answer
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Q10:

One cubic metre of iron weighs 7.800 kg. The weight of iron in a pipe of length 4 m, whose interior and exterior diameters measure 10 cm and 12 cm respectively, is nearly
Answer options
Option: 0
Correct Answer
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Q11:

A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3m^{3}. The emptying capacity of the pump is 10 m3m^{3} per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank as to fill it. The filling capacity of the pump is
Answer options
Option: 2
Correct Answer
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Q12:

A room has floor size of 15×615 \times 6 sq.cm. What is the height of the room, if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls?
Answer options
Option: 3
Correct Answer
Explanation →

Solids - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Solids Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!