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In a Nigerian hotel, among the english speaking people 40% are English & 60% Americans. The English & American spellings are "RIGOUR" & "RIGOR" respectively. An English speaking person in the hotel writes this word. A letter from this word is chosen at random & found to be a vowel. Find the probability that the writer is an Englishman.

Statements : All Americans are English speaking. No Eskimos are English speaking. Conclusions : I. No Eskimos are Americans. II. No English-speakers are Eskimos.

In a committee, 50 people speak Hindi, 20 speak English and 10 speak both Hindi and English . How many speak at least one of these two languages ?

(i) In a group of 50 people , 35 speak Hindi , 25 speak both English and Hindi and all people speak atleast one of the two languages . How may people speak only English and not Hindi ? How many people speak English? (ii) In a group of people , 50 speak both English and Hindi and 30 people speak English but not Hindi All the people speak at least one of the two languages . How many people speak English ?