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In a group of 20 students, 15 opt for English, 10 opt for Hindi. Five students are studying both languages. How many students are studying only English?

In a group of 20 students, 15 opt for English, 10 opt for Hindi. Five students are studying both languages. How many students are studying only English? Correct Answer 10

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Given

Total number of students = 20

Number of students study English language = 15

Number of students study Hindi language = 10

Concept

Venn diagram

Calculation

Both languages study by students, b = 5

Number of students studying only English = c

b + c = 15

⇒ 5 + c = 15

⇒ c = 15 - 5

⇒ c = 10

∴ 10 students are studying only English,

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