Question

b) In a certain group of 200 persons, 110 can speak Nepali, 85 can speak Maithili and 60 can speak both the languages. Find, (i) how many of them can talk in either of these languages? (ii) how many of them can talk in neither of these languages?​

Answer 1

• (i) 135, (ii) 65

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Given:

• Total number in the group - 200 persons,
• Nepali speakers - 110,
• Maithili speakers - 85,
• Both - 60.

(i) We know 60 out of 110 can speak both languages, so as 60 out of 85. The number 60 is counted twice if we add them together.

Find the number of those speak either language:

• Either = sum of each - both
• Either = 110 + 85 - 60 = 135

(ii) Find the number of thise who can talk neither of these languages:

• Neither = total - either
• Neither = 200 - 135 = 65