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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 class of 60 students, 25 speaks. Hindi, 45 speak English. How many of them speak both English and Hindi, if each student speaks either English or Hindi?

In a gathering of 100 people, 70 of them can speak Hindi, 60 can speak English and 30 can speak French. Further, 30 of them can speak both Hindi and English, 20 can speak both Hindi and French. If x is the number of people who can speak both English and French, then which one of the following is correct? (Assume that everyone can speak at least one of the three 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 ?

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 ?