In an examination consisting of tests in three subjects Physics, Chemistry and Mathematics, the following data is obtained.

(i) Total number of candidates appeared :400.
(ii) Number of candidates failed in all the three subjects: 12.
(ii) Number of candidates failed only in Physics and Chemistry: 24.
(iv) Number of candidates failed only in Chemistry and Mathematics: 18.
(v) Number of candidates failed in Mathematics and Physics: 32.
(vi) Number of candidates failed in only Physics, only chemistry and only Mathematics are 40, 30 and 50 respectively.