The shaded region in the Venn diagram can be represented by which of the following?

  • A
    $(A \cup C) \cap (A^C \cup B^C) \cup (A^C \cup C^C) \cup (B^C \cup C^C)$
  • B
    $(A \cup C) \cap (A^C \cup B^C) \cap (A^C \cup C^C) \cap (B^C \cup C^C)$
  • C
    $(A \cup C) \cap (A^C \cup B^C) \cap (A^C \cup C^C) \cap (B^C \cup C^C) \cup (A \cap B \cap C)$
  • D
    $(A \cup C) \cap (A^C \cup B^C) \cap (A^C \cup C^C) \cap (B^C \cup C^C) \cap (A \cap B \cap C)$

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Which of the following sets is finite?

In a college of $300$ students,every student reads $5$ newspapers and every newspaper is read by $60$ students. The number of newspapers is:

Difficult
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Let $A = \{(x, y) : y = e^x, x \in R\}$ and $B = \{(x, y) : y = e^{-x}, x \in R\}$. Then:

$A - (A - B)$ is equal to:

If $A, B$ and $C$ are three sets such that $A \cap B = A \cap C$ and $A \cup B = A \cup C$,then:

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