SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Find the sum of the Geometric series 3 + 6 + 12 + …….. + 1536

Kumar writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with the instruction that they continue the process similarly. Assuming that the process is unaltered and it costs ₹ 2 to mail one letter, find the amount spent on postage when 8^th set of letters is mailed

Find the rational form of the number `0.bar(123)`

If S_n = (x + y) + (x² + xy + y²) + (x³ + x²y + xy² + y³) + ... n terms then prove that (x – y)S_n = `[(x^2(x^"n" - 1))/(x - 1) - (y^2(y^"n" - 1))/(y - 1)]`

A man saved ₹ 16500 in ten years. In each year after the first, he saved ₹ 100 more than he did in the preceding year. How much did he save in the first year?

Find the G.P. in which the 2^nd term is `sqrt(6)` and the 6^th term is `9sqrt(6)`

Find the sum of the following series

1 + 2 + 3 + ... + 60

Find the sum of the following series

3 + 6 + 9 + ... + 96

Find the sum of the following series

51 + 52 + 53 + ... + 92

Find the sum of the following series

1 + 4 + 9 + 16 + ... + 225

Find the sum of the following series

6² + 7² + 8² + ... + 21²

Find the sum of the following series

10³ + 11³ + 12³ + ... + 20³

Find the sum of the following series

1 + 3 + 5 + ... + 71

If 1 + 2 + 3 + ... + k = 325, then find 1³ + 2³ + 3³ + ... + k³ 

If 1³ + 2³ + 3³ + ... + k³ = 44100 then find 1 + 2 + 3 + ... + k

How many terms of the series 1³ + 2³ + 3³ + … should be taken to get the sum 14400?

The sum of the cubes of the first n natural numbers is 2025, then find the value of n

Rekha has 15 square colour papers of sizes 10 cm,11 cm,12 cm, …, 24 cm. How much area can be decorated with these colour papers?

Find the sum of the series (2³ – 1³) + (4³ – 3³) + (6³ – 15³) + ... to n terms

Find the sum of the series (2³ – 1³) + (4³ – 3³) + (6³ – 15³) + ... to 8 terms