Search Previous Year Questions

The average salary of a team of employees is ₹52,000. Later, 6 new employees with an average salary of ₹48,000 joined the team. As a result, the average salary of the entire team becomes ₹51,500. How many employees were there originally in the team?

There are three departments, Physics, Chemistry, and Mathematics, in a college. The average ages of students in Physics, Chemistry, and Mathematics are 20 years, 24 years, and 30 years, respectively. The average age of all students in Physics and Chemistry combined is 22 years. The average age of all students in Chemistry and Mathematics combined is 26 years. What is the average age of all students in the three departments together?

A solid iron sphere of radius 12 cm is melted and recast into smaller solid spherical balls, each of radius 4 cm. If 25% of the iron is lost during the melting process, how many complete smaller balls can be made?

A goods train crosses a passenger train running in the opposite direction in 12 seconds and crosses a railway platform of length 200 m in 50 seconds. The passenger train is 180 m long and travels at 54 km/h. What is the speed of the goods train? (Rounded to the nearest integer)

A trader buys 40 identical articles for ₹16,000. He sets a selling price of ₹500 for each article. However, on 10 of them, he gives a 20% discount. What is his overall profit or loss percentage?

A conical tent with radius 12 meters and height 5 meters is made of polyester. What is the cost of the polyester used to make this tent if the price of polyester is ₹140 per m²? (Take π = 3.14)

A factory manufactures three types of components P, Q and R. Initially, the numbers of components P, Q and R produced per day are in the ratio 5 : 8 : 7. After an upgrade:

Production of P increases by 40%

Production of Q decreases by 25%

Production of R increases by 20%

If the total number of components produced per day after the upgrade is 1284, and the number of Q components after the upgrade is exactly 60 less than the number of P components after the upgrade, find the initial total number of components produced per day.

If \(\sqrt{x+9} - \sqrt{x} = 3\), then the value of x is:

A value is increased by 50%, decreased by 20%, and then increased by x%. After all changes, the final value is double the original. What is the value of x?

(Round off your answer to two decimal places.)

A trader buys a microwave oven for ₹9,000. He mark