question_answer

In a class of 50 student's 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 a can speak only English, then how many students speak all three languages?

A)  1                   

B)  2

C)  3                   

D)       5

Correct Answer: D

Solution :

\[\therefore \]  Total == 50 Students \[\therefore \] All Three language spoken by all Students. \[\therefore \] Total 23 English speaks \[\therefore \]  \[x=23-\](only E + only (E + H) + only (E + P)] \[=23-(9+3+6)\] \[=23-18\] \[=5\]