The smaller angle made by the hour and the minute hands is noted when it was 1:30 PM. In which of the following intervals of time will the smaller angle between these hands again be the same?
Options:
Accepted Answer: (C) 1:46 PM and 1:47 PM
Topic Covered: Quantitative Aptitude and Reasoning
Key Concept: Mathematical relationships, counting and logical analysis
At 1:30, the smaller angle is obtained from the difference between the hour-hand and minute-hand positions. Solving for the next time at which the same angle recurs places it in the correct one-minute interval.
The key is to apply the central fact, formula, definition or relationship tested in the question and then eliminate alternatives that do not satisfy it.