EASY
11th Odisha Board
IMPORTANT
Earn 100

Prove the following:

AB=U and AB=ϕB=A', where U is the universal set

Important Questions on Sets

EASY
11th Odisha Board
IMPORTANT

Prove the following:

AB=A for all AB=ϕ

EASY
11th Odisha Board
IMPORTANT

Prove that A-i=inBi=i=1n(A-Bi) and A-i=1nBi=i=1n(A-Bi).

EASY
11th Odisha Board
IMPORTANT

Prove that

|ABC|=|A|+|B|+|C|+|ABC|-|AB|-|BC|-|CA

EASY
11th Odisha Board
IMPORTANT

If X and Y are two sets such that XY has 20 objects, X has 10 objects and Y has 15 objects; how many objects does XY have ?

EASY
11th Odisha Board
IMPORTANT

In a group of 450 people, 300 can speak Hindi and 250 can speak English. How many people can speak both Hindi and English ?

EASY
11th Odisha Board
IMPORTANT

In a group of people, 37 like coffee, 52 like tea and each person in the group likes at least one of the two drinks. 19 people like both tea and coffee, how many people are in the group?

EASY
11th Odisha Board
IMPORTANT

In a class of 35 students, each student likes to play either cricket or hockey. 24 students like to play cricket and 5 students like to play both the games; how many students play hockey?

EASY
11th Odisha Board
IMPORTANT

In a class of 400 students, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice?