Question : Directions: In a group of 15 people, 7 read German, 8 read Spanish, while 3 of them read none of these two. Find how many of them read both German and Spanish.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 5
Correct Answer: 3
Solution :
Given:
Total number of people = 15
Number of persons who read Spanish = 8
Number of persons who read German = 7
Number of persons who read neither German nor Spanish = 3
⇒ Total number of people = Number of people who read German + Number of people who read Spanish – Number of people who read both + Number of people who read neither German nor Spanish
⇒ 15 = 7 + 8 – Number of people who read both + 3
⇒ Number of people who read both = 7 + 8 – 15 + 3
⇒ Number of people who read both = 18 – 15
⇒ Number of people who read both = 3
So, only 3 persons read both German and Spanish. Hence, the third option is correct.
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