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Study the given diagram carefully and answer the question given below. The numbers in the different classes represent the number of persons.
Question

Study the given diagram carefully and answer the question given below. The numbers in the different classes represent the number of persons.

If the number denoting all female students is marked as 'A',
If the number indicating only employed girls is marked as 'B' and if the number indicating the girls who are both female students, and unemployed are marked as 'C',
Then what will be the answer to the equation given below?
A + B - C

A.

1200

B.

974

C.

1000

D.

898

Correct option is C


Given:
From the Venn diagram:
· Female students = 102 (students ∩ girls) + 89 (students ∩ girls ∩ unemployed)
· Only employed girls = 898 (girls region excluding students and unemployed, as shown in the diagram)
· Female students who are unemployed = 89 (triple intersection)
Let:
· A = all female students
· B = only employed girls
· C = girls who are both female students and unemployed
We need to find:
A + B − C
Formula:
1. A = Female students = (Students ∩ Girls) + (Students ∩ Girls ∩ Unemployed)
2. B = Only employed girls = (Only Girls region shown as 898)
3. C = Female students who are unemployed = (Students ∩ Girls ∩ Unemployed)
4. Required expression: A + B − C
Solution:
Step 1: Calculate A
A = 102 + 89 A = 191
Step 2: Calculate B
B = 898
Step 3: Calculate C
C = 89
Step 4: Compute A + B − C
A + B − C = 191 + 898 − 89 = 1000
Final Answer: 1000

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