UG-CLAT entrance exam Question Bank Solutions

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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?

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?

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

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

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:

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: 

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

An angle in a semi-circle is:

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

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

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:

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: 

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? 

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?

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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:

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?

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

A dishonest shopkeeper uses a weight of 800 gm for a kg and professes to sell his good at cost price. His profit is

By selling 11 oranges for a rupee, a man loses 10%. How many oranges for a rupee should he sell to gain 10%?

Change 1/8 into the percentage