English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

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 the 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, (a² + b²) and (a² + b²) 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 a quadrilateral are in AP whose common difference is 10°. Find the angles.

Find four numbers in AP whose sum is 28 and the sum of whose squares is 216.

The sum of first three terms of an AP is 48. If the product of first and second terms exceeds 4 times the third term by 12. Find the AP.

HINT: Let these terms be (a – d), a, (a + d).

The first three terms of an AP are respectively (3y – 1), (3y + 5) and (5y + 1), find the value of y .

If k, (2k - 1) and (2k + 1) are the three successive terms of an AP, find the value of k.

If 18, a, (b – 3) are in AP, then find the value of (2a – b).

If the numbers a, 9, b, 25 from an AP, find a and b.