- NCERT Chapter

Question 2

# Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈or ∉ in the blank spaces:

(i) 5__A

(ii) 8__A

(iii) 0__A

(iv) 4__A

(v) 2__A

(vi) 10__A

(i) 5__A

(ii) 8__A

(iii) 0__A

(iv) 4__A

(v) 2__A

(vi) 10__A

Answer

**(i)** 5 ∈ A

**(ii)** 8 ∉ A

**(iii)** 0 ∉ A

**(iv)** 4 ∈ A

**(v)** 2 ∈ A

**(vi)** 10 ∉ A

- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

- Q:-
Find the sum to

*n*terms of the series 3 × 1^{2}+ 5 × 2^{2}+ 7 × 3^{2}+ … - Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.

- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

- Q:-
If the first and the

*n*th term of a G.P. are*a*ad*b*, respectively, and if*P*is the product of*n*terms, prove that*P*^{2}= (*ab*)^{n}. - Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.

- Q:-
The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

- Q:- Find the sum to
*n*terms in the geometric progression 1,-a, a^{2},-a^{3}, ... (if a ≠ -1)">Find the sum to

*n*terms in the geometric progression 1,-a, a^{2},-a^{3}, ... (if a ≠ -1) - Q:- Find the sum to
*n*terms in the geometric progression x^{3}, x^{5}, x^{7}... (if x ≠ ±1)">Find the sum to

*n*terms in the geometric progression x^{3}, x^{5}, x^{7}... (if x ≠ ±1) - Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
Find the sum to

*n*terms of the series 3 × 1^{2}+ 5 × 2^{2}+ 7 × 3^{2}+ … - Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

- Q:-
The ratio of the sums of

*m*and*n*terms of an A.P. is*m*2:*n*2. Show that the ratio of*m*th and*n*th term is (2*m*– 1): (2*n*– 1). - Q:-
Find the sum to

*n*terms of the series 3 × 8 + 6 × 11 + 9 × 14 +… - Q:- A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?">
A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?

- Q:-
The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.

Anshu
2019-06-02 21:54:38

Thanks