Set Theory

If x is a set and the set contains an integer which is neither positive nor negative then the set x is ____________

• Set is Empty

• Set is non-empty

• Set is Finite.

• Set is both Non- empty and Finite

If x is a set and the set contains the real number between 1 and 2, then the set is ________.

• Empty set

• Finite set

• Infinite set

• None of the mentioned

Which of the following is a subset of set {1, 2, 3, 4}?

• {1, 2}

• {1, 2, 3}

• {1}

• All of the mentioned

Power set of empty or Null set has exactly _________ subset.

• One

• Two

• Zero

• Three

The members of the set S = {x | x is the square of an integer and x < 100} is ________________

• {0, 2, 4, 5, 9, 55, 46, 49, 99, 81}

• {1, 4, 9, 16}

• {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

• {0, 1, 4, 9, 25, 36, 49, 123}

The difference of {1, 2, 3, 6, 8} and {1, 2, 5, 6} is the set ____________ .

• {1, 3}

• {5, 6, 8}

• {3, 8}

• {2, 6, 5}

If n(A) = 20 and n(B) = 30 and n(A U B) = 40 then n(A ∩ B) is?

• 20

• 30

• 40

• 10

The cardinality of the Power set of the set {1, 5, 6} is______________.

• 5

• 6

• 8

• 10

Let the players who play cricket be 12, the ones who play football 10, those who play only cricket are 6, then the number of players who play only football are ___________, assuming there is a total of 16 players.

• 16

• 8

• 4

• 10

The Cartesian product of the (Set Y) x (Set X) is equal to the Cartesian product of (Set X) x (Set Y) or Not?

• Yes

• No

• None of the above

• I Don't know