MCQ
Reasoning: Clocks MCQ - Practice Questions with Answers
Solve 24 Reasoning: Clocks questions for RAS/RPSC preparation.
Practice questions
Q1What is the smaller angle between the hour hand and the minute hand at 3:20?
At 3:20, the minute hand is at 20 × 6 = 120° from 12. The hour hand at 3:00 is at 90°, and in 20 minutes it moves 20 × 0.5 = 10° more. So the hour hand is at 100°. The difference between the two positions is 120° - 100° = 20°. Since this is already the smaller angle, the required answer is 20°.
Q2Read the assertion and the reason, then choose the correct option. Assertion: At 4:40, the smaller angle between the hour hand and the minute hand is 100°. Reason: The minute hand moves 6° per minute, while the hour hand moves 0.5° per minute.
At 4:40, the minute hand is at 40 × 6 = 240° from 12. The hour hand at 4:00 is at 120°, and in 40 minutes it moves 40 × 0.5 = 20° more. So the hour hand is at 140°. The difference between the two hands is 240° - 140° = 100°. Thus, the assertion is true. The reason gives the exact speeds used in this calculation, so it correctly explains the assertion.
Q3Match each time with the smaller angle between the two hands of the clock. List I: I. 3:00, II. 6:00, III. 12:30, IV. 2:30. List II: 1. 90°, 2. 180°, 3. 165°, 4. 105°.
At 3:00, the hour hand is at 90° and the minute hand is at 0°, so the smaller angle is 90°. At 6:00, the hands are opposite, giving 180°. At 12:30, the minute hand is at 180° and the hour hand has moved 15° past 12, so the angle is 165°. At 2:30, the minute hand is at 180° and the hour hand is at 75°, giving 105°. Thus the matching code is I-1, II-2, III-3, IV-4.
Q4At what time between 8 and 9 o'clock will the minute hand be exactly opposite to the hour hand?
At 8 o'clock, the hour hand is at 240 degrees and the minute hand is at 0 degrees, so the gap is 240 degrees. For the hands to be opposite, the gap must be 180 degrees. The minute hand must gain 60 degrees on the hour hand. The relative speed is 6 - 0.5 = 5.5 degrees per minute. Time needed = 60 / 5.5 = 120/11 minutes = 10 10/11 minutes. So the required time is 8:10 10/11.
Q5A clock shows 7:25. If its image is seen in a plane mirror, which one of the following statements is incorrect?
For the mirror image of a clock time, subtract the given time from 11:60. Here, 11:60 - 7:25 = 4:35. So the mirror image shows 4:35, and the minute part becomes 35 minutes. The statement saying that the mirror image time is 4:25 keeps the minute part as 25, which is not how a mirror image works. Therefore, the incorrect statement is that the mirror image time is 4:25.
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More questions
6Assertion (A): At 8:10 10/11, the hour hand and the minute hand are in a straight line but in opposite directions. Reason (R): At 8:00, the minute hand must gain 60° on the hour hand to make an angle of 180°, and it gains 5.5° per minute.
7Match each clock time with its smaller angle between the hour hand and the minute hand. Time 1: 2:30, Time 2: 5:10, Time 3: 7:20. Angles: P = 95°, Q = 105°, R = 100°.
8Read the assertion and reason. Assertion: At 4:40, the smaller angle between the two hands of a clock is 100 degrees. Reason: The mirror image of 4:40 in a plane mirror is 7:20. Choose the correct option.
9A clock gains 10 minutes every 5 hours. If it is set correctly at 8:00 a.m., what time will it show at 6:00 p.m. on the same day?
10A clock is seen in a mirror. The reflected time appears as 4:25. What is the actual time?
11Which of the following statements about clock hands is incorrect?
12A clock gains 12 minutes in 6 hours. It is set right at 9:00 a.m. What time will it show when the correct time is 3:00 p.m. on the same day?
13A clock loses 10 minutes in every hour. It is set right at 6:00 AM. What time will it show when the correct time is 9:00 AM on the same day?
14Match each clock time with the smaller angle between the hour hand and the minute hand. Times: P = 2:00, Q = 5:30, R = 9:00, S = 10:10. Angles: 1 = 60°, 2 = 15°, 3 = 90°, 4 = 115°.
15In a mirror, the image of an analogue clock shows 9:25. What is the actual time shown by the clock?