Question
Download Solution PDFEvery student of an educational institution speaks either Telugu or Hindi or English. If 50 students can speak both Telugu and English, 35 both Telugu and Hindi, 25 both English and Hindi, 5 can speak all the 3 languages, 15 can speak only Telugu, 25 can speak only Hindi and 10 can speak only English, then the total number of students of that institution is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: Every student of an educational institution speaks either Telugu or Hindi or English.
Students who can speak both Telugu and English = 50
Students who can speak both Telugu and Hindi = 35
Students who can speak both English and Hindi = 25
Students who can speak all the 3 languages = 5
Students who can speak only Telugu = 15
Students who can speak only Hindi = 25
Students who can speak only English = 10
Total number of students of that institution is ⇒ (15 + 25 + 10) + [(50 + 35 + 25) - (3 × 5)] + 5
⇒ 50 + [110 - 15] + 5
⇒ 50 + 95 + 5
⇒ 150
Hence, "Option 3" is the correct answer.
Last updated on Jul 11, 2025
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