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The report of one survey of 100 students stated that the numbers studying the various languages were : Sanskrit, Hindi and Tamil, 5, Hindi and Sanskrit, 10, Tamil and Sanskrit, 8, Hindi and Tamil, 20, Sanskrit 30, Hindi 23, Tamil 50. The surveyor who prepared the report was fired. Why ?

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Out of 15 persons 10 can speak Hindi and 8 can speak English.If two persons are chosen at random,then the probability that one peron speaks Hindi only and the other speaks both Hindi and English is

The Students of a class are offered three language (Hindi. English and French). 15 students learn all the three language whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. What is the total strength of the class?

The Students of a class are offered three language (Hindi. English and French). 15 students learn all the three language whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. How many students learn precisely two languages?