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NDA 2023 Maths · Mathematics · Sets, Relations and Functions · easy

In a class of 48 students, 30 study Mathematics, 25 study Physics and 12 study neither subject. The number of students who study both subjects is

Single correct option

In a class of 48 students, 30 study Mathematics, 25 study Physics and 12 study neither subject. The number of students who study both subjects is
  1. A. 1313
  2. B. 1717
  3. C. 1818
  4. D. 1919
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Answer: (D) 1919

Students studying at least one subject number 48−12=3648-12=36. By inclusion-exclusion, n(M∩P)=30+25−36=19n(M\cap P)=30+25-36=19. A common slip is to use 4848 instead of 3636 in the formula, which gives 77, or to forget to remove the 1212 at all and get 55−48=755-48=7 as well.
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Original question written in the NDA 2023 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake