Question

11. Out of 20 members in an office, 12 like to
take tea and 15 like coffee. Assume that each
one likes at least one of the two drinks, how
many like
i. Only tea and not coffee
രുന്നു. .
ii. Only coffee and not tea
iii. Both coffee and tea​

Answer 1

Answer:

option c is correct both coffee and tea

Answer 2

Given:

A batch of 20 members, where 12 like tea and 15 like coffee.

Every person likes at least one of the two drinks.

To Find:

1. Number of people who like only tea.

2. Number of people who like only coffee.

3. Number of people who like both Tea and coffee.

Procedure:

1. It is mentioned that 12 people prefer tea and 15 people prefer coffee.

2. It is also mentioned that every person likes at least one of the drinks.

=> 8 people who don't prefer tea prefer coffee.

=> 5 people who don't prefer coffee prefer tea.

3. Therefore from the above steps, it is clear that 8 people prefer only coffee.

4. 5 people prefer only tea but not coffee.

5. Number of people who prefer both tea and coffee is given by the expression: Total number of people - number of people preferring tea - number of people preferring coffee.

6. Therefore, the number of people who prefer both tea and coffee are,

=> 20 - 5 - 8.

=> 7.

Therefore, the number of people preferring tea, coffee, both tea, and coffee are 5, 8, and 7 respectively.