CUET (UG) entrance exam Question Bank Solutions for General Test

The radii of the circular ends of a frustum of a cone are 20 cm and 13 cm and its height is 12 cm. What is the capacity (in litres) of the frustum (correct to one decimal place)?

(Take `pi = 22/7`)

A rectangular room has an area of 60 m² and perimeter of 34 m. The length of the diagonal of the rectangular room is same as the side of a square. The area of the square (in m²) is:

A boy walked along two adjacent sides of a rectangular field. If he had walked along the diagonal, then he would have saved a distance equal to one-fourth of the larger side. The ratio of the smaller to the larger side is:

Four solid cubes, each of volume I 728 cm³, are kept in two rows having two cubes in each row. They form a rectangular solid with square base. The total surface area (in cm²) of the resulting solid is:

A revised version of the 'India-Bangladesh Land Boundary Agreement' was adopted by the two countries under which amendment to the Constitution of India?

As per the Constitution of India, which of the following is NOT an eligibility criteria for the appointment of a State Governor?

The ratio of area of two triangles is 4 : 3 and ratio of height is 3 : 4. Find the ratio of their base?

If each side of an equilateral triangle is 12 cm, then its altitude is equal to ______.

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Its area is ______.

If surface area of cube be 1944 m² then its volume is ______.

A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?

The ratio of sides of an equilateral triangle to that of a square is `sqrt3 : 1`, then find the ratio of their area.

The external dimensions of a closed plastic box are 12 cm × 10 cm × 6 cm. If the thickness of plastic sheet is 1.5 cm, find the capacity of the box.

The ratio of surface area of two cubes is 9 : 4. Find the ratio of their volume.

Find the percentage change in the number of revolutions made in a distance of 1 km by a wheel of diameter 15 cm, when its radius is increased by 0.25 cm.

The diameter of a wheel is 42 cm. How many revolutions will be made by the wheel in covering a distance of 4092 metres?

What is the area of a circle with a circumference of 88 cm?

If the area of a circle is 154 sq. cm, then what is the circumference of the circle?

The circumference of a circle is equal to the perimeter of a square. The side of the square is 33 cm. What is double the diameter of the circle?

What is the area of the circle whose circumference is 264 cm?