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In a class of 50 students, 18 take Computer, 26 take Sanskrit and 2 take Computer and Sanskrit. How many students in the class are not enrolled in eit
Question

In a class of 50 students, 18 take Computer, 26 take Sanskrit and 2 take Computer and Sanskrit. How many students in the class are not enrolled in either Sanskrit or Computer ?

A.

12

B.

10

C.

5

D.

8

Correct option is D

Given:

  • Total students = 50
  • Students taking Computer = 18
  • Students taking Sanskrit = 26
  • Students taking both Computer and Sanskrit = 2

Step 1: Find students taking either Computer or Sanskrit.

The formula for students in either group is:

Students in Computer or Sanskrit=(Students in Computer)+(Students in Sanskrit)−(Students in both)\text{Students in Computer or Sanskrit} = (\text{Students in Computer}) + (\text{Students in Sanskrit}) - (\text{Students in both})Students in Computer or Sanskrit=(Students in Computer)+(Students in Sanskrit)(Students in both)

Substitute the values:

Students in Computer or Sanskrit=18+26−2=42\text{Students in Computer or Sanskrit} = 18 + 26 - 2 = 42Students in Computer or Sanskrit=18+262=42

Step 2: Find students not enrolled in either subject.

The total number of students is 50, so the number of students not enrolled in either subject is:

Students not in Computer or Sanskrit=Total students−Students in Computer or Sanskrit\text{Students not in Computer or Sanskrit} = \text{Total students} - \text{Students in Computer or Sanskrit}Students not in Computer or Sanskrit=Total studentsStudents in Computer or Sanskrit

Substitute the values:

Students not in Computer or Sanskrit=50−42=8\text{Students not in Computer or Sanskrit} = 50 - 42 = 8Students not in Computer or Sanskrit=5042=8

Final Answer: D. 8

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