How many times are the hands of a clock at 90° between 3 PM and 4 PM?
Correct answer: B. 2
- A. 1
- B. 2
- C. 3
- D. 4
Explanation
To determine how many times the hands of a clock are at 90° between 3 PM and 4 PM, consider the positions of the hands. The minute hand moves 360° in 60 minutes, while the hour hand moves 30° in 60 minutes. This means every hour, the hands form a 90° angle twice. Specifically, between 3 PM and 4 PM, the hands form a 90° angle at approximately 3:15 and again at approximately 3:45. Therefore, the correct answer is 2. Options 1, 3, and 4 are incorrect, as they do not accurately represent the number of times the hands form a 90° angle within the specified timeframe.
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Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
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