English Medium Class 10 - CBSE Question Bank Solutions

The polynomial equation x(x + 1) + 8 = (x + 2) (x – 2) is:

Which of the following are the roots of the quadratic equation, x² – 9x + 20 = 0 by factorisation?

If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio ______.

If the volumes of a cube is 1728 cm³, the length of its edge is equal to ______.

The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is ______.

Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is ______.

The total surface area of a solid hemisphere of radius r is ________.

Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is ______.

The product of two successive integral multiples of 5 is 300. Then the numbers are:

The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is ______.

If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is ______.

Is 0.2 a root of the equation x² – 0.4 = 0? Justify

Find the roots of the following quadratic equation by the factorisation method:

`2x^2 + 5/3x - 2 = 0`

Find the roots of the following quadratic equation by the factorisation method:

`2/5x^2 - x - 3/5 = 0`

Find the roots of the following quadratic equation by the factorisation method:

`3x^2 + 5sqrt(5)x - 10 = 0`

Find the roots of the following quadratic equation by the factorisation method:

`3sqrt(2)x^2 - 5x - sqrt(2) = 0`

Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?