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?
Answer: Option A
:
A
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) ∑ = 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%
Was this answer helpful ?
:
A
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) ∑ = 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%
Was this answer helpful ?
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