General in Clock Puzzles : Practice MCQ Questions & Answers with Explanations

The correct answer is 10 degrees. At 4:20, the minute hand is at 4 (120°). The hour hand = 120° + (20×0.5°) = 120° + 10° = 130°. Angle = 130° - 120° = 10°.

The correct answer is 180/11 min past 9. At 9 o'clock the hands are 15 minute-spaces apart. For 180°, the minute hand must gain 15 more spaces (30 - 15 = 15). At 55 spaces per 60 min, 15 spaces = (60/55)×15 = 180/11 minutes past 9.

The correct answer is 10 10/11 minutes past 2. At 2 o'clock the hands are 10 minute-spaces apart. The minute hand gains 55 spaces in 60 minutes, so it gains 10 spaces in (60/55)×10 = 120/11 = 10 10/11 minutes.

The correct answer is 130 degrees. At 3:40: minute hand is at 8 (240°), hour hand position = 90° + (40×0.5°) = 90° + 20° = 110°. Angle = 240° - 110° = 130°.

The correct answer is 2 PM on Wednesday. Total gain over 170 hours = 2 + 4.8 = 6.8 minutes. The watch was correct after gaining 2 minutes from Monday noon: (2/6.8) × 170 = 50 hours later = 2 PM on Wednesday.

The correct answer is 155°. The hour hand moves 0.5° per minute. From 12:00 to 5:10 = 310 minutes. 310 × 0.5° = 155°.

The correct answer is 22. The hands point in opposite directions 11 times every 12 hours (between 5 and 7 they are opposite only at 6 o'clock). So in 24 hours: 11 × 2 = 22 times.

The correct answer is 222.5 degrees. Using the formula: Angle = |30h - (11/2)m| = |30×11 - (11/2)×35| = |330 - 192.5| = 137.5°. The reflex angle = 360° - 137.5° = 222.5°.

The correct answer is 60 minutes. The clock loses 20 minutes every real hour. For the clock to show 2 PM (2 hours ahead on its face), 3 real hours must pass. In 3 real hours, 3 × 20 = 60 minutes are lost.