Question

A, B, C and D are four medical representatives of a Company. Each of them must visit exactly two of the eight cities - Delhi, Chennai, Kolkata, Hyderabad, Bangalore, Mumbai, Lucknow and Patna and each city is visited by only one person. C does not visit Mumbai and Delhi, While D does not visit Kolkata and Hyderabad. B does not visit Lucknow and Patna. Whereas A does not visit Bangalore and Chennai. Patna and Bangalore are visited neither by B nor by C. If Delhi and Lucknow were visited by A, then which one of the following cities could B visit?

• A. Kolkata
• B. Hyderabad
• C. Mumbai
• D. Delhi
• E. Pune

Hint:

Use a grid or elimination method to assign cities to each person based on the constraints.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Assign pairs of cities to each representative while adhering to exclusionary constraints.
Step 2: Key Formula or Approach:
Use a matrix for Reps vs Cities. Total 8 visits (2 each for 4 reps).
Step 3: Detailed Explanation:
1. A visits: Delhi, Lucknow. 2. C cannot visit: Kolkata, Hyderabad, Bangalore, Chennai. Also not Patna (Fact). C must visit Mumbai and Chennai? No, C does not visit Chennai. Available for C: Mumbai, Delhi, Lucknow? No, A already took those. 3. According to the constraints and valid pairings, the representative B ends up with a valid assignment that includes Mumbai.
Step 4: Final Answer:
B could visit Mumbai.