Question

In a group, if 60% of people drink tea and 70% drink coffee. What is the maximum possible percentage of people drinking either tea or coffee but not both?

• A. $100\%$
• B. $70\%$
• C. $30\%$
• D. $10\%$

Answer 1

The correct option is B $70\%$

To find maximum possible percentage of people drinking either coffee or tea, we can assume everyone drinks at least either of the options.

Hence

$a+b=100$

$a+2b=60+70=130$

$b=30$

hence $a=70$ which is the required area of the venn diagram.