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In a group of 20 children, 8 drink tea but not coffee and 13 like tea. The number of children drinking coffee but not tea is
  • a)
    6
  • b)
    7
  • c)
    1
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a group of 20 children, 8 drink tea but not coffee and 13 like tea....
Given information:

- Total number of children = 20
- Number of children who drink tea but not coffee = 8
- Number of children who like tea (may or may not drink coffee) = 13

To find:

- Number of children who drink coffee but not tea

Solution:

We can use a Venn diagram to represent the given information visually. Let's draw a circle for tea drinkers and another circle for coffee drinkers, and label the regions as follows:

- A: Tea drinkers who also drink coffee
- B: Tea drinkers who do not drink coffee (given as 8)
- C: Coffee drinkers who do not drink tea (to be found)
- D: Children who do not drink either tea or coffee

We know that the total number of children is 20, so we can write:

A + B + C + D = 20

We also know that 13 children like tea, which means they must belong to either region A or B (or both). We can write:

A + B = 13

Subtracting these two equations, we get:

C + D = 7

This tells us that there are 7 children who either drink coffee but not tea (region C) or do not drink either tea or coffee (region D).

We also know that 8 children belong to region B, which means:

A + B = 13
A = 13 - B
A = 13 - 8 = 5

So there are 5 children who drink both tea and coffee (region A).

Therefore, the number of children who drink coffee but not tea (region C) is:

C = 7 - D
C > 0 (since at least one child must be in region C, as per the question)

Option (b) 7 is the correct answer.
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Community Answer
In a group of 20 children, 8 drink tea but not coffee and 13 like tea....
Like tea 13 but don't like coffee 8 so ,
like coffee 20-(8+5)=7
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In a group of 20 children, 8 drink tea but not coffee and 13 like tea. The number of children drinking coffee but not tea isa)6b)7c)1d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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