Consider the following equation for any two sets A and B: 1, (A - B ) U B = A (2) ( A - B ) U A = A3, ( A - B ) B = (4) A B AUB = Bwhich of these are correct ?
( 1 ), ( 2 ) and ( 3 )
(2 ), ( 3 ) and ( 4 )
( 1 ), ( 3 ) and ( 4 )
( 1 ), ( 2 ) and ( 4 )
A set having only one element is called
null set
Singleton set
Equal set
None
Which of the following is the union of the closed sets. [ 2 +1/n, 10 - 1/n], n = 1,2, - - - - - ?
[2,10]
(2, 10)
[2,10)
( 2,10]
Let A, B, C be any three non - empty sets. If AUB = AUC then which one of the following is definitely true ?
B = C
B C
C B
None of these
A set contains n elements. Then the power set contains ________.
n2 elements
n elements
(2n -1 ) elements
2n elements
If A = { x N ; 3 < x < 12 } and B = { x N: x is even, x < 15 } , then :
AUB = { 4,6,8,10,12,14}
A ∩ B = { 4,6,8,10}
A/B = { 2,8, 12,14}
B/A = { 2,8,12,14 }.
If x = { Multiple of 2 } x Y = {Multiple of 5 }, z = { multiples of 10 } then x ∩ (Y∩z) is equal to ________.
{multiples of 10 }
{multiples of 5 }
{multiples of 2 }
{multiples of 20 }
If A = { x: x = n2, n = 1, 2, 3 }, then number of proper subsets is _______.
3
8
7
The set A is called ___________of set B if every element of A is also an element of B.
Super set
Subset
Proper set
Real set
Consider the following Venn diagramIf |E| = 42, |A| = 15, |B| = 12 and |AUB| = 22, then the area represented by the shaded portion in the above venn diagram is _______.
25
27
32
37
