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 ?

• A. 17
• B. 36
• C. 23
• D. 19

Answer 1

Answer: (D)

19

Answer 2

Let T denotes tea drinkers and C denotes coffee drinkers in universal set U. 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 $\Rightarrow$ b = 17 Now, substitute the values of a and b in equation (i), we get 16 + 17 + c = 52 c = 52 - 33 = 19