In a class of MBA students 16.66% students are from commerce background,

Ques - In a class of MBA students 16.66% students are from commerce background, 12.5% students are from science background, 6.66% students from engineering background and rest are from arts background. The minimum possible students of arts background are?

a) 44

b) 55

c) 66

d) 77

Solution -

Given,

Students are from commerce background = 16.66%

Students are from commerce background = 16.66/100

Students are from commerce background = 1/6

Students are from Science background = 12.5%

Students are from Science background = 12.5/100

Students are from Science background = 1/8

Students are from Engineering background = 6.66%

Students are from Engineering background = 6.66/100

Students are from Engineering background = 1/15

Take,

L.C.M of 6,8,15 = 120

Let,

Total number of students = 120  (Because our L.C.M are 120)

Students are from commerce background = [(1/6)*120]

Students are from commerce background = 20

Students are from science background = [(1/8)*120]

Students are from science background = 15

Students are from Engineering background = [(1/15)*120]

Students are from Engineering background = 8 

Students are from arts background = 120 - (20 + 15 + 8)

Students are from arts background = 120 - 43

Students are from arts background = 77

Hence,

The correct option is (d) 77.

Thank You