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Question Bank Solutions for UG-CLAT - Mathematics

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A cylindrical tennis ball container can contain maximum of three balls stacked on one another. The top and bottom bails also touch the lid and the base of the container respectively. If the volume of a tennis ball is 240 cm3, then what is the volume of the container?

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If the length and height of a brick increases by 10% each respectively, and the breadth reduces by 20%, what is the percentage change in the volume of the brick?

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Choose the most appropriate option:

The angle subtended by the Minor segment of a circle at the center is__________ the angle subtended by the Major segment at the center of the circle.

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Choose the most appropriate option:

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

The parallel sides of a trapezium-shaped field are 25 m and 10 m and non-parallel sides are 14 m and 13 m. What is the area (in m2 ) of the field?

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A right circular cone and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A rod of 2 cm diameter and 30 cm length is converted into a wire of 3 m length of uniform thickness. The diameter of the wire is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A ground 100 × 80 m2 has two crossroads in its middle. The road parallel to the length is 5 m wide and the other road is 4 m wide, both roads are perpendicular to each other. The cost of laying the bricks at the rate of ₹ 10 per m2, on the roads, will be: 

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Diagonals of a rhombus are 1m and 1.5 m in lengths. The area of the rhombus is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

An angle in a semi-circle is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

If a square field has its area equal to 324 m2, then the perimeter of the field is

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A closed metal box measures 30 cm × 20 cm × 10 cm. Thickness of the metal is 1cm. The volume of the metal required to make the box is

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

Two straight poles of unequal length stand upright on a ground. The length of the shorter pole is 10 m. A pole joins the top of the two vertical poles. The distance between the two tops is 5 m. The distance between the poles along the ground is 4 m. The area thus formed by the three poles with the ground is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Area and Volume (Entrance Exam)

A book seller sold a box of 10 pencils for Rs. 80 and incurred a loss. Had he sold it for Rs. 98, his gain would have been twice the loss he incurred earlier. The cost price of the box of pencils is: 

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Profit and Loss (Entrance Exam)

Naresh bought a bicycle each for his two sons, each bicycle priced at Rs. 3500. If the first bicycle is sold at a profit of 5%, how much should the other bicycle be sold for, to gain a total of 20% on both? 

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Profit and Loss (Entrance Exam)

Meenal purchased a car for Rs 2, 50, 000 and sold it for Rs 3, 48, 000. What is the per cent profit she made on the car?

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Profit and Loss (Entrance Exam)

Choose the most appropriate option

A trader sells rice at a profit of 20% and uses weights which are 10% less than the correct weight. The total gain earned by him is:

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Profit and Loss (Entrance Exam)

Reshma sells an article to Rekha at 37.5% profit, Rekha sells it to Madhu `9 1/11%` at profit. Again Madhu sells it to Mitu at 25% loss. If Mitu pays Rs.342 for the article, then what is the cost price of the article to Reshma?

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Profit and Loss (Entrance Exam)

Sanjay sold his watch for ₹1140 and thereby loses 5%. In order to gain 5%, he has to sell the watch for

[0.01] Quantitative Techniques
Chapter: [0.01] Quantitative Techniques
Concept: Profit and Loss (Entrance Exam)
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