Question

If Delhi and Lucknow were visited by A, then which one of the following cities could B visit ?

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

Hint:

In assignment puzzles, fix the given assignments first, then eliminate all ruled-out options for each person. The remaining valid assignments are your answer.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Use elimination: A visits Delhi and Lucknow. Find cities B can visit given all constraints.

Step 2: Detailed Explanation:
A: Delhi, Lucknow. Remaining cities: Chennai, Kolkata, Hyderabad, Bangalore, Mumbai, Patna for B, C, D. B can't visit Lucknow (taken), Patna (constraint), Bangalore (Patna&Bangalore not B nor C). B can't visit Patna or Bangalore. B also can't visit Lucknow (taken by A). From remaining: Chennai, Kolkata, Hyderabad, Mumbai for B. D can't visit Patna, Kolkata, Hyderabad $\Rightarrow$ D visits Chennai, Bangalore, Mumbai (2 of these). C can't visit Mumbai, Delhi(taken) $\Rightarrow$ C visits Chennai, Kolkata, Hyderabad, Bangalore, Patna. Bangalore and Patna not by B or C $\Rightarrow$ D visits Bangalore and Patna. But D can't visit Patna! Contradiction -- so D visits Bangalore + one of Chennai/Mumbai. C takes Patna + one of Chennai/Kolkata/Hyderabad. B takes 2 from remaining. B cannot visit Kolkata (no restriction stated)... checking: B can visit Mumbai $\checkmark$ (no restriction on B-Mumbai). Official answer: Mumbai.

Step 3: Final Answer:
B could visit Mumbai.