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An international conference is attended by 65 people. They all speak at least one of English, French and German language. Suppose 15 speak English and French, 13 speak English and German, 12 speak French and German, and 5 speak all the three languages. A total of 30 people can speak German and 30 can speak French. What is the number of people who can speak only English

An international conference is attended by 65 people. They all speak at least one of English, French and German language. Suppose 15 speak English and French, 13 speak English and German, 12 speak French and German, and 5 speak all the three languages. A total of 30 people can speak German and 30 can speak French. What is the number of people who can speak only English Correct Answer 17

1) 5 speak all the three languages.

2) 15 speak English and French it means (15 - 5) = 10 speak only English and French

Hence only French speak = 30 – ( 10 + 5 + 7) = 30 – 22 = 8

3) 13 speak English and German it means (13 – 5) = 8 speak only English and German

Hence Only German speak = 30 – (8 + 5 + 7) = 30 – 20 = 10

4) 12 speak French and German it means (12 – 5) = 7 speak only French and German

[ alt="antesh3" src="//storage.googleapis.com/tb-img/production/20/07/antesh3.PNG" style="width: 220px; height: 167px;">

Hence only speak English = 65 – (All speak German + Only speak French + Only speak French and English)

OR,

Hence only speak English = 65 – (All speak French + Only speak German + Only speak German and English)

In both case we got the same result,

Hence only speak English = 65 – (30 + 10 + 8) = 65 – 48 = 17

[ alt="antesh4" src="//storage.googleapis.com/tb-img/production/20/07/antesh4.PNG" style="width: 220px; height: 153px;">

Hence 17 persons speak only English.

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