Q106 / 180 · COMEDK 2023 (Memory Based) · Mathematics

If $A=\{a, b, c\}, B=\{b, c, d\}$ and $C=\{a, d, c\}$ then $(A-B) \times(B \cap C)$ is equal to

  • Correct answer
    A
    $\{(a, c),(a, d)\}$
  • B
    $\{(a, b),(c, d)\}$
  • C
    $\{(c, a),(d, a)\}$
  • D
    $\{(a, c),(a, d),(b, d)\}$

Solution

Given, $A=\{a, b c\}, B=\{b, c, d\}$ and $C=\{a, d, c\}$ Now, $A-B=\{a, b, c\}-\{b, c, d\}=\{a\}$ and $B \cap C=\{b, c, d\} \cap\{a, d, c\}=\{c, d\}$ $\therefore(A-B) \times(B \cap C)=\{a\} \times\{c, d\}=\{(a, c),(a, d)\}$

Hence, the correct answer is option: 'A'.

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