In a survey of 100 students, the number of students studying various languages were found to be: English only-18 English but not Hindi-23 English and German-8 English-26 German-48 German and Hindi-8…
Question and options
In a survey of 100 students, the number of students studying various languages were found to be:
- English only-18
- English but not Hindi-23
- English and German-8
- English-26
- German-48
- German and Hindi-8
- No language-24
I. Number of students who were studying Hindi is 18.
II. Number of students who were studying English and Hindi is 3.
III. Number of students who were studying English, Hindi and German is 3.
- I and II only
- I and III only
- II and III only
- I, II and III
Answer and explanation
Correct answer: D - I, II and III
English but not Hindi is 23 and English only is 18, so 5 study English and German but not Hindi; as English and German together is 8, the three languages together number 8 - 5 = 3. English is 26, so English and Hindi without German is 26 - 18 - 5 - 3 = 0, and English and Hindi together is 3. 100 - 24 = 76 study at least one language: 76 = 26 + 48 + H - 8 - 8 - 3 + 3, so Hindi is 18. Statements I, II and III are all true.
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