Chemegate

GATE 2025 Chemical Engineering, Q7 · General Aptitude

The correct answer is C, 65 5/11.

Question

Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?

  • A. 64 6/11
  • B. 66 5/13
  • C. 65 5/11
  • D. 66 6/13

Official answer: 65 5/11

Why

GATE 2025 official key: (C). Clock hands coincide every 12/11 hours = 65 5/11 minutes, so consecutive coincidences are always 65 5/11 minutes apart.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.