At Saralstudy, we are providing you with the solution of Class 11th mathematics Sets according to the latest NCERT (CBSE) Book guidelines prepared by expert teachers. Here we are trying to give you a detailed answer to the questions of the entire topic of this chapter so that you can get more marks in your examinations by preparing the answers based on this lesson. We are trying our best to give you detailed answers to all the questions of all the topics of Class 11th mathematics Sets so that you can prepare for the exam according to your own pace and your speed.

Set plays a very crucial role in understanding the fundamentals of mathematics. To be precise, a set is an assembling or collection of items. With the concept of set, we can analyse many real life situations and other branches like biology, computer science, engineering etc. in a better way. It consists of set representation, finite and non-finite sets, equal sets, universal set, subset, venn diagrams, Union and intersection, complement of set, etc. It forms the basis for relation and functions. Venn diagrams are pictorial representations of sets as closed curves.

Download pdf of NCERT Solutions for Class mathematics Chapter 1 Sets

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

- 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:-
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:- Write the following sets in roster form:

(i) A = {x: x is an integer and - 3 < x < 7}.

(ii) B = {x: x is a natural number less than 6}.

(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}

(iv) D = {x: x is a prime number which is divisor of 60}.

(v) E = The set of all letters in the word TRIGONOMETRY.

(vi) F = The set of all letters in the word BETTER. - Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.

- 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:-
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 integers from 1 to 100 that are divisible by 2 or 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 natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:- Write the following sets in roster form:

(i) A = {x: x is an integer and - 3 < x < 7}.

(ii) B = {x: x is a natural number less than 6}.

(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}

(iv) D = {x: x is a prime number which is divisor of 60}.

(v) E = The set of all letters in the word TRIGONOMETRY.

(vi) F = The set of all letters in the word BETTER. - Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.

- 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:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

- Q:-
Find the sum to

*n*terms in the geometric progression x^{3}, x^{5}, x^{7}... (if x ≠ ±1) - Q:- Write the following sets in the set-builder form:

(i) (3, 6, 9, 12)

(ii) {2, 4, 8, 16, 32}

(iii) {5, 25, 125, 625}

(iv) {2, 4, 6 upto infinity}

(v) {1, 4, 9, upto 100} - 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}.

- NCERT Chapter

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