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In a class of 65 students, 27 speak Hindi, 21 speak English and 17 speak Bangla. 7 speak only English and Hindi, 6 speak only Hindi and Bangla and 5 speak only English and Bangla. If 12 speak only Hindi then how many speak all the three languages.

In a class of 65 students, 27 speak Hindi, 21 speak English and 17 speak Bangla. 7 speak only English and Hindi, 6 speak only Hindi and Bangla and 5 speak only English and Bangla. If 12 speak only Hindi then how many speak all the three languages. Correct Answer 2

Students who speak all the three languages = Students who can speak Hindi – (Students who can speak only Hindi + Students who speak only English and Hindi + Students who speak only Hindi and Bangla)

= 27 – (12 + 7 + 6)

= 27 – 25

= 2

Hence, ‘2’ is the correct answer.

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