Practicing Success

Target Exam

CUET

Subject

Mathematics

Chapter

Sets

Question:

Let $U = \{1, 2, 3, 4, 5, 6\}, A = \{1,4\}$ and $B = \{2,3,5\}$. Find $A’∩B’$.

Options:

$\{2,3,5,6\}$

$\{1,2,3\}$

$\{6\}$

$\{1,2,3,4,5,6\}$

Correct Answer:

$\{6\}$

Explanation:

The correct answer is Option (3) → $\{6\}$

Complement of a set A is a set which contains elements of U which are not the elements of A.

$A’ = U-A = \{1, 2, 3, 4, 5, 6\} – \{1,4\} = \{2,3,5,6\}$ and

$B’ = U-B = \{1, 2, 3, 4, 5, 6\} – \{2,3,5\} = \{1,4,6\}$

$A’∩B’=\{2,3,5,6\} ∩ \{1,4,6\} = \{6\}$