English Medium कक्षा १० - CBSE Question Bank Solutions

Prove that the surface area of a sphere is equal to the curved surface area of the circumference cylinder__?

A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.

A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number the digits are interchanged. Find the number

A tent of height 77dm is in the form a right circular cylinder of diameter 36m and height 44dm surmounted by a right circular cone. Find the cost of canvas at Rs.3.50 per m² ?

Two numbers differ by 3 and their product is 504. Find the number

Two number differ by 4 and their product is 192. Find the numbers?

A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.

The sum of two number a and b is 15, and the sum of their reciprocals `1/a` and `1/b` is 3/10. Find the numbers a and b.

The sum of two numbers is 9. The sum of their reciprocals is 1/2. Find the numbers.

Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.

The difference of squares of two number is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.

A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?

A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.

A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.

The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed per hour in each direction?

A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.

An aeroplane take 1 hour less for a journey of 1200 km if its speed is increased by 100 km/hr from its usual speed. Find its usual speed.