EASY
JEE Main/Advance
IMPORTANT
Earn 100

Let U={x:xN and n8},A=x:xN and 5<x2<50, B={x:x is a prime x<8}. Draw a Venn diagram to show the relation between the given sets and list the elements of the following.

(i) A-B

(ii) B'

(iii) A'

Important Questions on Basics of Mathematics

EASY
JEE Main/Advance
IMPORTANT
If A'B=U, then show that AB.
EASY
JEE Main/Advance
IMPORTANT
Using the property of sets prove that C-BC-A, if AB.
EASY
JEE Main/Advance
IMPORTANT
There are 300 members in a club, 120 of them drink tea and 80 drink tea but not coffee. If each member drinks at least one beverage. Find

(i) How many drink coffee.

(ii) How many drink coffee, but not tea.

MEDIUM
JEE Main/Advance
IMPORTANT

In a group of 450 people, 200 speak Hindi only and 180 speak English only. If each person speak at least one language then,

(i) How many can speak English?

(ii) How many can speak Hindi?

(iii) How many can speak both English and Hindi?

HARD
JEE Main/Advance
IMPORTANT
For all sets P, Q, R. Is P-QR-Q=PR-Q. Justify your answer.
MEDIUM
JEE Main/Advance
IMPORTANT
Two finite sets have p and q elements respectively. The total number of subsets of first set is 224 more than the total number of subsets of the second set. Find the values of p and q.
HARD
JEE Main/Advance
IMPORTANT
For any sets, A, B, C prove that A-B-C=A-BAC.
HARD
JEE Main/Advance
IMPORTANT
A market research group conducted a survey of 3000 consumers and reported that 1860 consumers liked product A and 1950 consumers liked product B. What is the least number of consumers that must have liked both the products?