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Observe the diagram carefully and answer the following question:

Let A –denote the self of persons who speak Tamil 

B – who speak English 

C – who speak Malayalam and 

D – Set of people who speak Telugu 

1. The number of people who can speak both Tamil and English is: 

(A) 12 

(B) 4 

(C) 1 

(D) 6 

2. Find the number of people who can speak English, Malayalam and Telugu. 

(A) 4 

(B) 9 

(C) 6 

(D) 82 

3. Find the number of people who can speak either English or Malayalam. 

(A) 66 

(B) 53 

(C) 60 

(D) 56 

4. If the total population is 100, how many do not speak either language? 

(A) 2 

(B) 0 

(C) 1 

(D) 4

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1 Answer

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A – Tamil 

B – English 

C – Malayalam 

D – Telugu

(1) (D) 6

Both English and Tamil 

A and B 

1 + 2 + 3 = 6

(2) (C) 6

English, Telugu and Malayalam B,C,D = 2 + 4 + 6 = 6

(3) (A) 66

Either English or Malayalam B, C 1 + 17 + 3 + 5 + 2 + 4 + 6 + 7 + 21 = 66

(4) (B) 0

Population = 100 

Tot students = 100 

In figure 

Students who don’t speak either language = 100 – 100 = 0

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