In a class of 150 students, 70 students passed in Mathematics, 60 students passed in Chemistry and 20 students passed in both Mathematics and Chemistry. Then the number of students that failed in both the subjects are:

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  1. 40
  2. 50
  3. 20
  4. 60

Answer (Detailed Solution Below)

Option 1 : 40
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Detailed Solution

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Given:

Total students = 150

Students passed in Mathematics = 70

Students passed in Chemistry = 60

Students passed in both Mathematics and Chemistry = 20

Formula used:

Number of students passed in at least one subject = (Students passed in Mathematics) + (Students passed in Chemistry) - (Students passed in both subjects)

Number of students failed in both subjects = Total students - Number of students passed in at least one subject

Calculations:

Number of students passed in at least one subject = 70 + 60 - 20

⇒ Number of students passed in at least one subject = 110

Number of students failed in both subjects = 150 - 110

⇒ Number of students failed in both subjects = 40

∴ The correct answer is option 1.

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