Find the intersection of the given pair of sets:
$X = \{1, 3, 5\}, Y = \{1, 2, 3\}$

If $A = \{x : f(x) = 0\}$ and $B = \{x : g(x) = 0\}$,then $A \cap B$ will be

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 $A \cap B$.

Let $X = \{ \text{Ram, Geeta, Akbar} \}$ be the set of students of Class $XI$ who are in the school hockey team. Let $Y = \{ \text{Geeta, David, Ashok} \}$ be the set of students from Class $XI$ who are in the school football team. Find $X \cup Y$ and interpret the set.

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

Let $A, B$ and $C$ be sets such that $\phi \ne A \cap B \subseteq C$. Then which of the following statements is not true?