Question

Let ∪ = {x: x is a natural number and x $\le$ 10}

A = {a: a is an even number and a $<$ 10}

B = {b: b is a prime number and b $\le$ 9}

Then A^I $\cap$ B^I is

• A. {2, 4, 6, 8}
• B. { 3, 5, 7}
• C. {1,9,10}
• D. {2, 3, 5, 7}

Answer 1

The correct option is C

{1,9,10}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {2, 4, 6, 8}

B = {2, 3, 5, 7}

A^I = U - A ≡ All the elements in U which does not belong to A

= {1, 3, 5, 7, 9, 10}

B^I = U - B ≡ Elements which belongs to U and does not belong to B

= {1, 4, 6, 8, 9, 10}

A^I $\cap$ B^I = {1, 9, 10}