Question

In a group of 52 persons, 16 drink tea but not coffee, while 33 drink tea. How many persons drink coffee but not tea?

Options

• 17

• 36

• 23

• 19

Answer 1

19

Explanation:

Let T denotes tea drinkers and C denotes coffee drinkers in universal set U.

From the diagram, we get

a + b + c = 52  ......(i)

a = 16  .....(ii)

a + b = 33  ......(iii)

Put a = 16 in equation (iii), we have 16 + b = 33 ⇒ b = 17

Now, substitute the values of a and b in equation (i), we get

16 + 17 + c = 52

c = 52 – 33 = 19