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# In a group of 760 persons 510 can speak Hindi, 360 can speak English then find  i) how many can speak both Hindi and English ii) how many can speak Hindi only; iii) how many can speak English only. 

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## 1 Answer

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(i) 110
(ii) 400
(iii) 250

Let OH be "only hindi" speaking and OE be "only english speaking".

Then 510 - OH is people who speak hindi + english.
Similarly 360 - OE speak hindi + english

Hence 510 - OH = 360 - OE
So OH - OE = 150

Also OH + OE + ( 510 - OH ) = 760  ( since 'only hindi' + 'only english' + 'hindi & english' is the total persons )
Hence OE = 250
Hence OH = 150 + 250 = 400
So persons who speak English & Hindi = 360 - OE = 360 - 250 = 110

answered Jun 24, 2014
edited Dec 22, 2016 by pady_1

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