Given that the total number of elements in set U is 60, with n(A) = 35, n(B) = 24, and the complement of n(A ∪ B) equals 10, what is the value of n(A ∩ B)?

Mathematics Mcqs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

PPSCFPSCNTSPakistan govt jobs
Subject
Mathematics Mcqsmathematics-mcqs
Published
24 Jun 2024
Last updated
28 May 2026

Browse all Mathematics Mcqs

Choose the correct answer

Explanation

Since n(U) = 60 and n((A ∪ B)') = 10, it follows that n(A ∪ B) = 60 - 10 = 50. Using the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B), we have 50 = 35 + 24 - n(A ∩ B). Solving for n(A ∩ B) gives n(A ∩ B) = 35 + 24 - 50 = 9.

PakQuizHub — free MCQs and past papers for Pakistan government job tests. Content is for educational practice only.