(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

In a recurring deposit account, John deposits ₹ 500 per month for 24 months. If the interest he earns is one-tenth of his total deposit, the rate of interest is ______.

₹ 50 per month is deposited for 20 months in a recurring deposit account. If the rate of interest is 10%; the maturity value is ______.

A certain money is deposited every month for 8 months in a recurring deposit account at 12% p.a. simple interest. If the interest at the time of maturity is ₹ 36, the monthly instalment is ______.

In a recurring deposit account, Mohit deposited ₹ 5,000 per month for one year and at maturity gets ₹ 67,500; the total interest earned is ______.

A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is ______.

4x² – 9 = 0 implies x is equal to ______.

(x – 3) (x + 5) = 0 gives x equal to ______.

If `x + 1/x = 2.5`, the value of x is ______.

For quadratic equation `2x + 5/x = 5` :

If x⁴ – 5x² + 4 = 0; the values of x are ______.

For equation `1/x + 1/(x - 5) = 3/10`; one value of x is ______.

Which of the following is correct for the equation `1/(x - 3) - 1/(x + 5) = 1`?

The product of two integers is –18; the integers are ______.

Using quadratic formula find the value of x.

p²x² + (p² – q²)x – q² = 0

If secθ + tanθ = p, show that `(p^{2}-1)/(p^{2}+1)=\sin \theta`

Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

`(sin theta-2sin^3theta)/(2cos^3theta -costheta) = tan theta`

What must be subtracted from 16x³ – 8x² + 4x + 7 so that the resulting expression has 2x + 1 as a factor?

How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an income of Rs. 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.

The angles of depression of two ships A and B as observed from the top of a light house 60 m high are 60° and 45° respectively. If the two ships are on the opposite sides of the light house, find the distance between the two ships. Give your answer correct to the nearest whole number.

Using remainder theorem, find the value of k if on dividing 2x³ + 3x² – kx + 5 by x – 2, leaves a remainder 7.