Suppose that R and S are reflexive on a set A then which of the following is correct

• R-S is reflexive
• R⊕S is reflexive
• R∩S is reflexive
• Both R∪S and R-S is reflexive
• R∩S is reflexive

Let A and B are two sets. If every element is A is an element of B, then A is ____ of B.

• Superset
• Subset
• Proper subset
• equal
• Subset

Let A ={{1},2,3} and B={1,2,3} then which of the following is true?

• 1 ∈ A
• 1 ∈ B
• A ⊆ B
• B ⊆ A
• 1 ∈ B

Let A ={{1},2,3} and B={{1},2,3} then which of the following is true?

• 1 ∈ A
• 1 ∈ B
• A ⊆ B
• A ⊂ B
• A ⊆ B

which of the following sets is null set?

• {0}
• {φ}
• Both (i) & (ii)
• φ
• φ

which of the following sets is singleton set?

• {0}
• {φ}
• Both (i) & (ii)
• φ
• Both (i) & (ii)

Suppose set A={a,b,c} and set B={a,b,c}. Determine which of the following Statement is True.

• A ∪ B = A ∩ B
• A - B = B - A
• A ∪ B = A - B
• A - B = A ∩ B
• A - B = B - A

Let set A={1,2,3}. Find the cardinality of power set of set A.

• 3
• 6
• 8
• 9
• 8

Let set A={1,2}. Find the cardinality of power set of set AxA.

• 2
• 4
• 8
• 16
• 16

Consider the Binary relation S={(x,y)|y=x+1} and x,y ∈ {0,1,2}. The reflexive transitive closure of S is

• {(x,y)|y>x} and x,y ∈ {0,1,2}
• {(x,y)| y ≥ x} and x,y ∈ {0,1,2}
• {(x,y)|y < x} and x,y ∈ {0,1,2}
• {(x,y)| y ≤ x} and x,y ∈ {0,1,2}
• {(x,y)| y ≥ x} and x,y ∈ {0,1,2}