Question
Download Solution PDFThere are 100 students admitted to a class. Some students can speak only English, some can speak only Hindi and some can speak only Telugu. 12 students can speak both Telugu and Hindi, 15 students can speak both Hindi and English and 18 students can speak both English and Telugu. If the number of students who can speak English is 30 and Hindi is 40 and Telugu is 30 and 5 students can speak all the three languages, then how many students can speak only Hindi ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total students: 100
Telugu & Hindi: 12
Hindi & English: 15
English & Telugu: 18
English speakers: 30
Hindi speakers: 40
Telugu speakers: 30
All three: 5
Now,
Calculation:
Students speaking only Telugu and Hindi: 12 - 5 = 7
Students speaking only Hindi and English: 15 - 5 = 10
Students speaking only English and Telugu: 18 - 5 = 13
Students speaking only English: 30 - (10 + 5 + 13) = 30 - 28 = 2
Students speaking only Telugu: 30 - (13 + 5 + 7) = 30 - 25 = 5
Students speaking only Hindi: 40 - (10 + 5 + 7) = 40 - 22 = 18
∴ 18 students can speak only Hindi.
Hence the correct answer is "Option 2"
Last updated on May 9, 2023
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