In a survey conducted among 100 college students in Bangalore, 100 students prefer jeans of Brand A, 80 prefer brand B, 75 prefer brand C, 70 prefer brand D and 80 prefer brand E. The minimum possible number of students who prefer all the five brands is___

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Solution

option (b)

The minimum value can be calculated using a short cut technique as given below.

Step 1 :Take the difference of all from 100( total number in question is 100)

100-100 = 0

100-80= 20

100-75= 25

100-70= 30

100-80= 20

$\sum$ 95

Find the sum of all the differences = 95

Take the difference again from 100 = 100-95= 5

This is the minimum possible number of students preferring all 5 brands. Answer is option (b)

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