English Medium Class 10 - CBSE Question Bank Solutions

The 19^th term of an AP is equal to 3 times its 6^th term. If its 9^th term is 19, find the AP. 

If the pth term of an AP is q and its qth term is p then show that its (p + q)th term is zero

The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is ( a + l ).

How many two-digit number are divisible by 6?

How many two-digits numbers are divisible by 3?

How many three-digit numbers are divisible by 9?

How many numbers are there between 101 and 999, which are divisible by both 2 and 5?

In a flower bed, there are 43 rose plants in the first row, 41 in second, 39 in the third, and so on. There are 11 rose plants in the last row. How many rows are there in the flower bed?

A sum of ₹2800 is to be used to award four prizes. If each prize after the first is ₹200 less than the preceding prize, find the value of each of the prizes

Determine k so that (3k -2), (4k – 6) and (k +2) are three consecutive terms of an AP.

Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in AP.

If (3y – 1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y.

Find the value of x for which (x + 2), 2x, ()2x + 3) are three consecutive terms of an AP.

Show that `(a-b)^2 , (a^2 + b^2 ) and ( a^2+ b^2) ` are in AP.

Find the three numbers in AP whose sum is 15 and product is 80.

The sum of three numbers in AP is 3 and their product is -35. Find the numbers.

Divide 24 in three parts such that they are in AP and their product is 440.

The sum of three consecutive terms of an AP is 21 and the sum of the squares of these terms is 165. Find these terms

The angles of quadrilateral are in whose AP common difference is 10° . Find the angles.

Find four numbers in AP whose sum is 8 and the sum of whose squares is 216.