2. Questions Bank
  3. SSC
  4. Quantitative Aptitude
  5. Number System and its Operations

SSC Quantitative Aptitude Number System and its Operations Question Bank Set Theory (II)

  • question_answer
    In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. Then, the number of students who have passed in Physics only is

    A) 22

    B) 33

    C) 10

    D) 45

    Correct Answer: D

    Solution :

    [d] \[n\,(M)=55,\]\[n\,(P)=67,\]\[n\,(M\cup P)=100\] Now, \[n\,(M\cup P)=n\,(M)+n\,(P)-n\,(M\cap P)\] \[\Rightarrow \]   \[100=55+67-n\,(M\cap P)\] \[\therefore \]      \[n\,(M\cap P)=122-100=22\] Now, n (P only) \[=n\,(P)-n\,(M\cap P)\] \[=67-22=45\]


You need to login to perform this action.
You will be redirected in 3 sec spinner