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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 (includes those who drink tea but not coffee) = 13

To find:
- Number of children who drink coffee but not tea

Solution:
To find the number of children who drink coffee but not tea, we need to use the concept of set theory and Venn diagrams.

We can represent the given information in a Venn diagram as shown below:

```
Total children (20)
/ \
Drink tea (8) Don't drink tea (12)
/ \ / \
Like tea Don't like tea Like coffee Don't like coffee
(5) (3) (?) (?)
```

From the given information, we know that:
- Number of children who drink tea = 8 (includes those who like tea and those who don't like tea)
- Number of children who like tea = 13 (includes those who drink tea and those who don't drink tea)
- Number of children who drink tea but not coffee = 8
- Number of children who like tea but don't drink coffee = 5 (since 13 - 8 = 5)

Using these values, we can fill in the Venn diagram as shown below:

```
Total children (20)
/ \
Drink tea (8) Don't drink tea (12)
/ \ / \
Like tea (5) Don't like tea (3) Like coffee (2) Don't like coffee (10)
```

Now, we can see that the number of children who drink coffee but not tea is 7 (since 12 - 5 = 7).

Therefore, the correct answer is option B, 7.
Free Test
Community Answer
In a group of 20 children, 8 drink tea but not coffee and 13 like tea....
Total 12 students like to drink coffee but only 7 students like only coffee so answer is option B
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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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