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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 50 students, 23 speak English, 15 speak Hindi and 18 speak Punjabi. 3 speak only English and Hindi, 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. If 9 speak only English, then how many speak all the three? (a) 1 (b) 2 (c) 3 (d) 5