State PCS PYQPrelims 2022

BPSC – Combined Competitive Examination · প্রশ্ন 84

In a class of 55 students, 34 like cricket and 26 like badminton; every student likes at least one. How many like both?

  1. 4
  2. 5
  3. 6
  4. 3
  5. None of the above / More than one of the above
উত্তর দেখান ও ব্যাখ্যা

উত্তর: (B) 5

ব্যাখ্যা

n(A ∩ B) = n(A) + n(B) − n(A ∪ B) = 34 + 26 − 55 = 5.

  • (A) ভুল

    Wrong: 34 + 26 − 55 = 5.

  • (B) সঠিক

    Correct: both = 34 + 26 − 55 = 5.

  • (C) ভুল

    Wrong: 34 + 26 − 55 = 5.

  • (D) ভুল

    Wrong: 34 + 26 − 55 = 5.

  • (E) ভুল

    Wrong: only one of the options A–D is correct.