745.Between 6 PM and 7 PM the minute hand of a clock will be ahead of the hour hand by 3 minutes at#
- A6:15 PM
- B6:18 PM
- C6:36 PM
- D6:48 PM
All 21 Clocks questions the Punjab PSC asked between 2018 and 2026, each with a worked answer and the exam it came from. First 10 free to read.
1 of these 21 were set in more than one exam — the Commission reuses this topic, which is the argument for working through it rather than skimming it.
Free to read, with the worked answer and the exam each one came from. The book prints this topic in the order the Commission favours, so these are the ones to know first.
At 6:00 the hour hand is 30 minute-spaces ahead of the minute hand. The minute hand gains 55 minute-spaces every 60 minutes, and to be 3 spaces ahead it must gain 30 + 3 = 33 spaces. > Time = 33 × 60/55 = 36 minutes So the required time is 6:36 PM.
Angle = |30H − 5.5M| = |30 × 3 − 5.5 × 15| = |90 − 82.5| = 7.5°. At 3:15 the minute hand is exactly at 3, but the hour hand has moved a quarter of the way from 3 to 4 (7.5°), so they are 7.5° apart.
The minute hand completes 360° in 60 minutes, i.e. 6° per minute. > 2 h 20 min = 140 min > 140 × 6° = 840° So in 140 minutes the minute hand sweeps 840° (two full circles plus 120°).
The mirror image of a clock time is found by subtracting the time from 11:60 (for times between 1:00 and 11:00). > 11:60 − 2:25 = 9:35 So the mirror shows 9:35. (For times between 11:00 and 1:00 subtract from 23:60 instead.)
For a mirror image, the real time and the reflected time add up to 12:00 (or 11:60). Real time = 11:60 − 06:55 = 05:05. As a check, 05:05 and 06:55 are symmetric about the 6 o'clock line.
A mirror image of a clock time is found by subtracting it from 11:60 (or 23:60). > 11:60 − 11:20 = 0:40 The real time is 12:40.
The clock gains 5 minutes every hour, so in 14 hours it gains 14 × 5 = 70 minutes. > Correct time after 14 h = 12:00 PM + 14 h = 2:00 AM > Clock shows 2:00 AM + 70 min = 3:10 AM.
The watch loses 3 seconds every 4 minutes, i.e. 45 seconds per hour, and from 8 AM to 11 PM is 15 hours. > loss = 15 × 45 = 675 s = 11 min 15 s > 11:00:00 − 0:11:15 = 10:48:45 At true 11 PM the watch shows 10:48:45.
> Mirror image = 11:60 − given time > 11:60 − 07:15 = 04:45 In a mirror the clock reads 04:45, because a time and its mirror image always add up to 12 hours.
At 12:15 the minute hand is on 3, and the hour hand has crept forward from 12 in those 15 minutes. > minute hand = 15 × 6° = 90° > hour hand = 15 × 0.5° = 7.5° > angle = 90° − 7.5° = 82.5° The formula |30H − 5.5M| = |0 − 5.5 × 15| = 82.5° gives the same.
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See the printed book →The Commission set 21 Clocks questions across 28 papers between 2018–2026. That is the whole set, not a sample — every one of them is in the book, and the 10 most-asked are on this page free.
Yes. 1 of these 21 were set in more than one exam, which is why they are worth working rather than reading. Each question here carries a badge showing how many sittings asked it.
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The exams behind these questions, most first. A paper here is a sitting: a question set in two papers of the same sitting counts once.
| Exam | Year | Questions |
|---|---|---|
| Analysts | 2019 | 3 |
| Inspector, Cooperative Societies | 2022 | 2 |
| Superintendent Home | 2019 | 2 |
| Network Engineer | 2019 | 2 |
| Technical Assistants | 2019 | 2 |
| Legal Assistant | 2019 | 2 |
| Research Officer | 2019 | 2 |
| PPSC DDSWO | 2026 | 1 |
| Accounts Officer (Group-B) | 2026 | 1 |
| Archaeological Chemist(Group-B) | 2025 | 1 |
| Junior Environmental Engineer (Group-B) | 2024 | 1 |
| Principal, Industrial Training Institute (Women) | 2024 | 1 |