Three companies L, M, and N participated in campus recruitment in college Z. All three companies selected an equal number of candidates. Out of the total candidates selected, 60 were selected by both L and M. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got selected by each L, M and N companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 92% less than a total number of candidates selected. The total number of students that got placed in exactly one company was what percent more than the ones that got placed in exactly two companies?
Three companies L, M, and N participated in campus recruitment in college Z. All three companies selected an equal number of candidates. Out of the total candidates selected, 60 were selected by both L and M. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got selected by each L, M and N companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 92% less than a total number of candidates selected. The total number of students that got placed in exactly one company was what percent more than the ones that got placed in exactly two companies? Correct Answer 600%.
Calculation:
Additional Information
⇒ For two sets, n(X ⋃ Y) = n(X) + n(Y) – n(X ⋂ Y)
⇒ For three sets, n(A ⋃ B ⋃ C) = n(A) + n(B) + n(C) – n(A ⋂ B) – n(B ⋂ C) – n(A ⋂ C) + n(A ⋂ B ⋂ C)