Question
Mathematics Question on Elementary Mathematics
In a class of 50 students, 23 speak English, 15 speak Hindi and 18 speak Punjabi. 3 speak only English and Hindi, 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. If 9 can speak only English, then how many students speak all the three languages?
A
1
B
2
C
3
D
5
Answer
5
Explanation
Solution
The total students who speak English are = 23
According to the venn diagram =9+3+6+x=23
x=23−18=5
Therefore, 5 students speak all the three languages.
The correct answer is (D) : 5