Allied & ICAR Exam Bank • ALLIED_2534 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

In matching 4 professors to 4 offices, if Professor X must have Office 1 and Professor Y cannot have Office 2, the number of valid office allocations is:

Answer Key:

4

Step-by-Step Solution & Explanation

X has Office 1. Remaining offices: 2, 3, 4. Y has 2 choices (3 or 4). Remaining 2 professors have $2! = 2$ choices. Total $= 2 \times 2 = 4$.
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