Mathematics

Theme:

Sets and Functions / समुच्चय और फलन

Q37 2015, Sets and Functions

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group none can speak any other language. If 2 persons in the group can speak two languages only and one person can speak all the three languages, then how many persons are there in the group?

किसी बस में यात्रा करने वाले व्यक्तियों के एक समूह में, 6 व्यक्ति तमिल बोल सकते हैं, 15 व्यक्ति हिन्दी बोल सकते हैं और 6 व्यक्ति गुजराती बोल सकते हैं। उस समूह में कोई भी व्यक्ति कोई अन्य भाषा नहीं बोल सकता । यदि इस समूह के 2 व्यक्ति केवल दो भाषाएँ बोल सकते हैं और एक व्यक्ति सभी तीनों भाषाएँ बोल सकता है, तब इस समूह में कुल कितने व्यक्ति हैं?

Explanation Please wait..

Given, Number of persons who can speak Tamil only = 6 Number of persons who can speak Hindi only = 15 Number of persons who can speak Gujarati only = 6 Number of persons who can speak two languages = 2 Number of persons who can speak three languages = 1

⸫ Number of persons who can speak Tamil + Hindi + Gujarati = Number of persons who can speak only one language +2 x Number of persons who can speak two languages + 3 x Number of persons who can speak three languages

] (6 + 15 + 6) = Number of persons who can speak only one language + 2 x 2 + 3 x 1

⸫ Number of persons who can speak only one language = 27 - 7 = 20

⸫ Total number of persons in the group

= Number of persons who can speak (one + two + three) languages = 20 + 2 + 1 = 23

Mathematics

Q37 2015, Sets and Functions

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व्याख्या Please wait..

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Mathematics

Q37 2015, Sets and Functions

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Ancient History / प्राचीन इतिहास

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