EASY
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2, 6, 10, 14 and 3, 7, 11, 15 are disjoint sets.

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Important Questions on Sets

MEDIUM
If A={x:x is a natural number}B={x:x is an even number}C={x:x is an odd number} and D={x:x is a prime number, then find AB, AC, BC and BD. What do you notice?
EASY
Let A={ 1,2,3,4,5,6,7,8,9,10 }. Then the number of subsets of A containing two or three elements is
EASY
If A and B are disjoint sets, then BA', where A' is complement of A, is equal to
EASY

The shaded region in the given figure shows _____

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EASY
The set of cubes of natural numbers is
EASY
If nA=8, nB=3, nAB=2, then nAB= _____
EASY

If 
A=x:2x+1,xN,x5B=x:x is a composite number,x12
Then show that,AB-AB=A-BB-A

MEDIUM
Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A×B having 3 or more elements is :
EASY
Two finite sets respectively have x and y number of elements. The total number of sub sets of the first is 56 more than the total no. of sub sets of the second. The value of x, y are respectively __________
EASY
Verify AB for the sets A=a, b, c, B=1, a, b, c, 2. If not justify your answer.
HARD
Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A×B, each having at least three elements is
EASY
Which of the following is an empty set?
EASY
Let S=1, 2, 3, .,100, then number of non-empty subsets A of S such that the product of elements in A is even is :
MEDIUM
If AB, n( A)=4 and n(B)=6, then n(AB)=
HARD
Let Z be the set of integers. If A=xZ: 2x+2x2-5x+6=1 and B={xZ  :-3<2x-1<9}, then the number of subsets of the set A×B, is :
EASY
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively
HARD
Let A, B and C  be sets such that ϕABC. Then which of the following statements is not true?
MEDIUM

Find AB and display it with Venn diagram.

A=x:x is a perfect square,x<50,xN
B=x:x=8m+1, where mW,x<50,xN

EASY

The following Venn diagram indicates

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HARD
Let a>0, a1. Then, the set S of all positive real numbers b satisfying 1+a21+b2=4ab is