Question

Determine the maximum number of people who could have name exactly two places as their favourite..

• A. 40
• B. 50
• C. 60
• D. 70

Answer 1

The correct option is B 50

For II to be maximum, III has to minimum i.e. 0. In this case, II = 150. But, II can’t be 150 as the maximum possible value in only 100.

Also,

We have II +2III = 150

Also I + II + III = 100.

So when III=50 and II =50 then all the equations are getting satisfied, hence II=50 is the minimum and maximum value for II

So, maximum value of II = 50