Class 11

Math

JEE Main Questions

Sets

If S and T are two sets such that S has 21 elements, T has 32 elements, and $S∩T$has 11 elements, how many elements does $S∪T$have?

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Which of the following collections are sets? Justify your answer: A collection of most dangerous animals of the world.

Show that $A∩B=A∩C$need not imply $B=C$.

If A and B are two sets such that $A⊂B$, then what is $A∪B$?

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

In a group of students, $100$ students know Hindi,$50$ know English and $25$ know both. Each of the students knows either Hindi or English. How many students are there in the group?

Let X = {Rani, Geeta, Akbar} be the set of students of Class XI who are in school hockey team. Let Y = {Geeta, David, Ashok} be the set of students from Class XI who are in the school football team. Find X$∪$Y and interpret the set

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) ${2,4,6,...}$ (v) ${1,4,9,...,100}$

List all the elements of the following sets :(i) A = {x : x is an odd natural number}(ii) B = {x : x is an integer, $−21 <x<29 $} (iii) C{x :x is an integer, $x_{2}≤4$ (iv) D={x: x is a letter in the word loyal} (v) E= {x: x is a month of a year not having 31 days} (vi) F = {x : x is a consonant in the English alphabet which precedes k }.