Group D LEVEL 1 Previous Year Question 17/12/2025 Shift 3 Shift Common

The amount on a sum of ₹7,500 at 8% per annum compound interest, compounded annually, in 2 years will be:

In how many minutes will a cistern be filled if three pipes with diameters 2 cm, 3 cm and 4 cm are opened together, given that the largest pipe alone can fill it in 87 minutes? (Assume the rate of flow of water through each pipe is proportional to the square of its diameter.)

A solid cylinder has a height of 12 cm and a radius of r cm. A part of the cylinder is melted and molded into two cones. One cone has a radius of 3 cm and a height of 4 cm, while the other cone has a radius of 6 cm and a height of 8 cm. If the ratio of the curved surface area of the original cylinder to the sum of the curved surface areas of the two cones is 4 : 1, find the value of 2r.

For what value of x will the equation (x + 5)^2 − (x − 5)^2 = 80 be true?

If the cost price of 30 chairs is equal to the selling price of 40 chairs, find the loss percentage.

If the radius of a sphere is increased by 15%, then find the percentage increase in its volume. (Rounded up to 2 decimal places.)

The ratio of 20 hours to 7 days is equivalent to which of the following?

A man observes the top of a building at an angle of elevation 45°. If the building is 20 m high, find the distance of the man from the building.

The sum of two numbers is 45 and their difference is 9. Find the smaller number.

The average age of 31 students of a class is 34 years. If the age of the teacher is also included, the average age of the whole group becomes 35 years. The age (in years) of the teacher is: