Allied & ICAR Exam Bank • ALLIED_2531 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

In a group of 100 research scholars, 60 read Journal A, 50 read Journal B, and 40 read Journal C. Every scholar reads at least one journal. If 10 read all three journals, how many scholars read exactly two journals?

Answer Key:

30

Step-by-Step Solution & Explanation

Total sum $= 60 + 50 + 40 = 150$. By inclusion-exclusion, $100 = 150 - \sum_{pairs} + 10 \implies \sum_{pairs} = 60$. The number reading exactly two journals is $\sum_{pairs} - 3(10) = 60 - 30 = 30$.
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