GATE 2024 Chemical Engineering, Q5 · General Aptitude
The correct answer is C, 50.
Question
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
Official answer: 50
Why
GATE 2024 official key: (C). The minute and second hands coincide every 60/59 minutes after 12:00:00. Counting crossing times 60k/59 strictly between the 5-minute and 55-minute marks gives k = 5,…,54, i.e., 50 crossings.
Explanation cross-checked for consistency. Final answer matches the official IIT answer key.