On the two subjects offered to a class in their final year, 32 students in all are studying psychology while a total of 26 students are studying sociology. If 16 students have opted to specialize in both, what is the strength of the class?

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CSIR-CLRI JSA 2024 Official Paper-I (Held On: 16 Feb, 2025)
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  1. 74
  2. 58
  3. 42
  4. 48

Answer (Detailed Solution Below)

Option 3 : 42
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Detailed Solution

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Given:

Number of students studying psychology (P) = 32

Number of students studying sociology (S) = 26

Number of students studying both (B) = 16

Formula used:

Total strength of the class (T) = P + S - B

Calculation:

T = 32 + 26 - 16

⇒ T = 42

∴ The correct answer is option (3).

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