Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Is the time in the clock 3 O’clock now? I. Exactly 15 minutes back, the hour and the minute hand of the clock coincide with each other. II. After half an hour, the minute and the hour hands of the clock will make an angle of exactly 90° with each other Mark answer-

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II both are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: The hour and minute hands coincide at exactly 2:38:11 (approximately). If this was 15 minutes ago, the current time would be 2:53:11, not 3:00. But more critically, the hands coincide EVERY 65+ minutes, so there are multiple possible times when this could be true going backward from any given moment - this alone is insufficient. Statement II: At 3:30, the hands are exactly 90 degrees apart (hour hand at 3.5, minute hand at 6). If 30 minutes from now they'll be 90 degrees apart, then now must be 3:00. Each statement alone is sufficient to answer the question.

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