The question below is followed by two statements numbered I and II. Choose the option that describes whether the statements are sufficient to answer the question.
What is the angle between the hands of a clock?
I. The hour hand is between 3 and 4.
II. The minute hand is exactly at 6.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → The question can be answered by using both statements together, but not by using either statement alone.
The angle between the hands is fixed only when the exact time is known. The minute hand moves 6° per minute and the hour hand 0.5° per minute.
Statement I alone:
The time is somewhere between 3:00 and 4:00, so the minutes are unknown: not sufficient
Statement II alone:
The minute hand at 6 means 30 minutes past some hour, but the hour is unknown: not sufficient
Both together:
The time is 3:30
Minute hand: 30 × 6° = 180° from 12
Hour hand: 3 × 30° + 30 × 0.5° = 105° from 12
Angle = 180° − 105° = 75°: sufficient
