Question

At the FIFA World Cup, out of the 2 lakh visiting fans, 90% were fans of Argentina, 85% of Brazil, 70% of Germany, 75% of Spain and 85% of Netherlands. What is the minimum percentage of visiting fans who are fans of all 5 countries if it is given that each of these visiting fans supports at least one country?

• A. 5%
• B. 10%
• C. 0
• D. 15%

Answer 1

The correct option is A

5%

In this case, the minimum of all is that part of the Venn diagram which has 5 overlapping regions. This can be found using a shortcut technique.

Here X=100,

Step 1- Taking the difference of each from X.

100-90=10

100-85=15

100-70=30

100-75=25

100-85=15

Total (Y) $\sum$ = 95% (Percentage of fans who do not support atleast 1 country)

Step 2- Take the difference of Y from 100, 100-95 = 5%

Minimum percentage of fans who support all 5 countries = 5%