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In a survey of 100 students, the number of students studying the various languages were found to be: English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find: How many students were studying English and Hindi?

The numbers of students speaking English and Hindi are in the ratio of 4:5. If the number of students speaking English increased by 35% and that speaking Hindi increased by 20% , what would be the new respective ratio?

In a group of 50 students, the number of students learning - French, English, Sanskrit were found to be as follows: French = 17, English = 13, Sanskrit = 15, French and English = 09, English and Sanskrit = 4, French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who are learning at? French only (ii) English only (iii) Sanskrit only (iv) English and Sanskrit but not French (v) French and Sanskrit but not English (vi) French and English but not Sanskrit (vii) at least one of the three languages (viii) none of the three languages (ix) exactly one language (X) exactly two languages

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4, French and Sanskrit = 5, English , French and Sanskrit = 3. Find the number of students who study (i) only French, (ii) only English. (iii) only Sanskrit. , (iv) English and Sanskrit but not French. (v) French and Sanskrit but not English. (vi) French and English but not Sanskrit. (vii) atleast one of the three languages. (viii) none of the three languages.