If $X = \{a, b, c, d\}$ and $Y = \{f, b, d, g\},$ find $X \cap Y$.

State whether the following statement is true or false. Justify your answer.
${2, 6, 10, 14}$ and ${3, 7, 11, 15}$ are disjoint sets.

The shaded region in the given figure is

The simplified switching circuit for the following circuit is

If $A = \{ x : x \text{ is a natural number} \}$,$B = \{ x : x \text{ is an even natural number} \}$,$C = \{ x : x \text{ is an odd natural number} \}$,and $D = \{ x : x \text{ is a prime number} \}$,find $A \cap C$.

If $A, B$,and $C$ are three sets,then $A - (B \cap C)$ is equal to