In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one subject, 110 passed in only two subjects and 10 passed in none of the subjects. How many passed in all three subjects?

• Correct answer
  A

  $60$
• B

  $55$
• C

  $40$
• D

  $35$

Solution

Given, total student $=240$ Since, 10 student failed in every subject. Hence, Remaining total $=230$ Now, According to question, $\begin{aligned} & a+b+c+d+e+f+g=230 ...(i)\\ & \text { and } b+c+d=110 ....(ii) \\ & \text { and } e+f+g=60 ....(iii) \end{aligned}$ Using equation (ii) and (iii) in equation (i), we get $\Rightarrow \mathrm{a}=230-(110+60)=60$

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