QUESTION

CSAT

Easy

Reasoning

Prelims 2019

In a group of 15 people; 7 can read French, 8 can read English while 3 of them can read neither of these two languages. The number of people who can read exactly one language is

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Explanation

Total people = 15 People who can read French = 7 People who can read English = 8 People who can read neither = 3

Step 1: People who can read at least one language: $15 - 3 = 12$ (people who can read either French or English)

Step 2: People who can read both French and English: People who can read at least one language = French readers + English readers - People who can read both $12 = 7 + 8 - \text{People who can read both}$ $12 = 15 - \text{People who can read both}$ People who can read both = 3

Step 3: People who can read exactly one language: French only: $7 - 3 = 4$ English only: $8 - 3 = 5$ Total people who can read exactly one language: $4 + 5 = 9$