Group D LEVEL 1 Previous Year Question 2025-08-12 Shift 2 Shift Common

The areas of three adjacent faces of a solid cuboid are 108 cm2, 60 cm2 and 45 cm2. What is the volume (in cm3) of the cuboid?

The angle of elevation of the top of a tree at a distance of 60 m from its foot on a horizontal plane is found to be 30°. Find the height of the tree.

A cistern is normally filled in 12 hours but takes 2 hours longer to fill because of a leak in its bottom. If the cistern is full, then in how much time will the leak empty the tank?

Manoj got a new curtain at 20% discount. If Manoj did not get any discount, Manoj would have to pay ₹664 extra. So how much did Manoj pay for the curtain?

The product of the present ages of Seema and Jyoti is 3,952 years, and their present age ratio is 19 : 13. Find the difference in the ages of Seema and Jyoti.

In an election between two candidates, 20% of the total votes were declared invalid. The winning candidate received 70% of the valid votes and won by a margin of 12,400 votes. Find the total number of registered voters.

Aman and Yogita together invested ₹59,200 in a business. At the end of the year, out of a total profit of ₹8,000, Aman's share was ₹1,400. How much was Aman's investment?

Simplify \(21^3 + 13^3 - 34^3 + 3 \times 21 \times 13 \times 34\)

The average age of 50 students in a class is 29 years. If the age of the teacher is also included, the average age of the whole group becomes 30 years. The age of the teacher is:

Find the HCF of 27, 54 and 108.