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Clock Puzzles

Practice clock puzzles to improve angle, direction, and time-based logical reasoning.

About Clock Puzzles

Clock puzzles test your understanding of clock mechanics, angle calculations, and time-based logical reasoning — a distinctive topic in placement aptitude tests and competitive exam puzzle sections. Common question types include: finding the angle between hour and minute hands at a given time, determining when the two hands coincide or are opposite, calculating time gain or loss for faulty clocks, and mirror/water image time reading. Key formulas: hour hand moves 0.5° per minute (360° in 12 hours), minute hand moves 6° per minute (360° in 60 minutes), relative speed between hands = 5.5° per minute. Below are clock puzzle questions with detailed angle and time calculations.

Key Takeaways

  • Hour hand speed: 0.5° per minute. Minute hand: 6° per minute. Relative: 5.5° per minute.
  • Angle at time H:M = |30H - 5.5M| degrees. Take minimum of this and 360 minus this.
  • Hands overlap 11 times in 12 hours. Between hours overlap at: (5H × 60/55) minutes past H.

Frequently Asked Questions

How to calculate the angle between clock hands?

At H hours and M minutes: Hour hand angle = 30H + M/2 degrees from 12. Minute hand angle = 6M degrees from 12. Angle between = |Hour hand - Minute hand|. Take the smaller of this value and 360 minus this value (since the angle can be measured both ways). Example: 3:30 → Hour = 105°, Minute = 180°, Angle = 75°.

When do clock hands overlap?

Hands overlap (coincide) when the angle between them is 0°. Between each pair of hours, they coincide once (11 times in 12 hours). The formula: Time = (60/55) × (5H) minutes past H o'clock. For H=3: time = (60/55) × 15 = 16.36 minutes past 3, so they coincide at approximately 3:16.

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10 questions ~5 minutes Randomized each time Explanations included

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Q1

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Q1. What is the larger angle between clock hands at 8:10?

Q2

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Q2. What is the smaller angle between clock hands at 5:50?

Q3

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Q3. What is the larger angle between clock hands at 2:30?

Q4

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Q4. What is the smaller angle between clock hands at 1:10?

Q5

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Q5. At exactly 1:00, what angle does hour hand make from 12 o'clock line?

Q6

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Q6. What is the larger angle between clock hands at 3:30?

Q7

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Q7. At 12:15, what angle does the minute hand make with 12 o'clock line?

Q8

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Q8. What is the smaller angle between clock hands at 11:20?

Q9

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Q9. At exactly 11:00, what angle does hour hand make from 12 o'clock line?

Q10

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Q10. At 10:00, do the clock hands make a right angle?

Clock Puzzles Strategy guide

clock puzzles puzzles develop logical thinking and pattern recognition. Daily practice builds speed and accuracy. Start with easier puzzles and progress gradually.

Clock Puzzles Puzzle Questions with Solutions

Train your logic and pattern-recognition using timed clock puzzles puzzle quizzes. Solve one question at a time, get instant correctness feedback, and learn with clear explanations.

How to prepare effectively for this topic?

Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.

Are these questions useful for placements and competitive exams?

Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.

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