Question : Directions: An official meeting is attended by 130 department employees of them 66 drink tea, 56 drink coffee, and 63 drink juice. 27 can drink either tea or coffee, 25 can drink coffee or juice, and 23 can drink juice and tea. 5 employees can drink any of the three. How many drink only tea?
Option 1: 21
Option 2: 22
Option 3: 18
Option 4: 20
Correct Answer: 21
Solution :
As per the given instructions, we can draw the following diagram –
Here, there will be 7 regions:
a = people who drink tea
b = people who drink coffee
c = people who drink juice
d = people who drink both tea and coffee
e = people who drink both coffee and juice
f = people who drink both tea and juice
g = people who drink all three
n = Total number of people
So, from the instructions provided, we know that:
a + d + f + g = 66
b + d + e + g = 55
c + e + f + g = 63
d + g = 27
e + g = 25
f + g = 23
g = 5
Therefore, d = 22; e = 20; f = 18; a = 21; b = 9; c = 20
None = 130 – (21 + 9 + 20 + 22 + 20 + 18 + 5) = 15
So, people who only drink tea are in a region which is 21. Hence, the first option is correct.
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