SSC (English Medium) 10th Standard - Maharashtra State Board Question Bank Solutions

Find the range of given data: 46, 35, 78, 90, 20, 56, 45, 76.

The monthly pocket money of ten friends is given below:

₹ 80, ₹ 65, ₹ 35, ₹ 65, ₹ 50, ₹ 30, ₹ 60, ₹ 35, ₹ 65, ₹ 30

What is the lowest pocket money?

The monthly pocket money of ten friends is given below :

₹ 80, ₹ 65, ₹ 35, ₹ 65, ₹ 50, ₹ 30, ₹ 60, ₹ 35, ₹ 65, ₹ 30

What is the highest pocket money?

Find the term t15 of an A.P. : 4, 9, 14, …………..

If the 9^th term of an A.P. is zero, then prove that 29^th term is double of 19^th term.

Decide whether the following sequence is an A.P., if so find the 20^th term of the progression:

–12, –5, 2, 9, 16, 23, 30, ..............

Find the 19^th term of the following A.P.:

7, 13, 19, 25, ...

Find the 27^th term of the following A.P.
9, 4, –1, –6, –11,...

Six year before, the age of mother was equal to the square of her son's age. Three year hence, her age will be thrice the age of her son then. Find the present ages of the mother and son.

Select the correct alternative and write it. 

What is the sum of first n natural numbers ? 

Select the correct alternative and write it. 

If a share is at premium, then - 

For a given A.P. a = 3.5, d = 0, then t_n = _______.

Find the 23rd term of the following A.P.: 9, 4,-1,-6,-11.

Choose the correct alternative answer for the following sub-question

If the third term and fifth term of an A.P. are 13 and 25 respectively, find its 7^th term

Find t_n if a = 20 आणि d = 3

Find t₅ if a = 3 आणि d = −3

Decide whether the given sequence 24, 17, 10, 3, ...... is an A.P.? If yes find its common term (t_n)

How many two-digit numbers are divisible by 5?

Activity :-  Two-digit numbers divisible by 5 are, 10, 15, 20, ......, 95.

Here, d = 5, therefore this sequence is an A.P.

Here, a = 10, d = 5, t_n = 95, n = ?

t_n = a + (n − 1) `square`

`square` = 10 + (n – 1) × 5

`square` = (n – 1) × 5

`square` = (n – 1)

Therefore n = `square`

There are `square` two-digit numbers divisible by 5

Decide whether 301 is term of given sequence 5, 11, 17, 23, .....

Activity :-  Here, d = `square`, therefore this sequence is an A.P.

a = 5, d = `square`

Let n^th term of this A.P. be 301

t_n = a + (n – 1) `square`

301 = 5 + (n – 1) × `square`

301 = 6n – 1

n = `302/6` = `square`

But n is not positive integer.

Therefore, 301 is `square` the term of sequence 5, 11, 17, 23, ......