Question

If $X$ and $Y$ are two sets, then $X\cap (X\cup Y)$ equals

• A. $X$
• B. $Y$
• C. $\varphi$
• D. $Noneofthese$

Answer 1

Answer: (A)

$X$

Ans. $\left(a\right).$
If $X\subset Y$, then $X\cup Y=Y$ and $X\cap Y=X$
If $Y\subset X$, then $X\cup Y=X$ and $X\cap X=X$