Find the angle traced by the hour hand of a correct clock between 10 a.m. and 3:44 p.m. on the same day. Option 1: 164° Option 2: 194° Option 3: 172° Option 4: 180°

Answer: 172°. Solution: From 10 a.m. to 3:44 p.m.: 10 a.m. to 3 p.m. = 5 hours 3 p.m. to 3:44 p.m. = 44 minutes Total time elapsed = 5 hours 44 minutes The hour hand completes one full circle (360°) in 12 hours. In 1 hour, the hour hand moves: (360°)/12 = 30° In 1 minute, the hour hand moves: (30°)/60 = 0.5° Angle traced in 5 hours: 5 x 30° = 150° Angle traced in 44 minutes: 44 x 0.5° = 22° Total angle traced: 150° + 22° = 172° Therefore, the angle traced by the hour hand is 172°.

Logical Reasoning

Clocks & Calendar

Medium

Find the angle traced by the hour hand of a correct clock between 10 a.m. and 3:44 p.m. on the same day.

164°

194°

172°

180°

✅ Correct Option: 3

From 10 a.m. to 3:44 p.m.:

10 a.m. to 3 p.m. = 5 hours

3 p.m. to 3:44 p.m. = 44 minutes

Total time elapsed = 5 hours 44 minutes

The hour hand completes one full circle (360°) in 12 hours.

In 1 hour, the hour hand moves:

$\frac{360°}{12} = 30°$

In 1 minute, the hour hand moves:

$\frac{30°}{60} = 0.5°$

Angle traced in 5 hours:

$5 \times 30° = 150°$

Angle traced in 44 minutes:

$44 \times 0.5° = 22°$

Total angle traced:

$150° + 22°$

$= 172°$

Therefore, the angle traced by the hour hand is 172°.

2026: 20 May Shift 1

The calendar for the year 2019 will be the same for the year:

2026: 20 May Shift 2

An accurate clock shows the time as 3:00. After that, the hand hour has moved 135°, the time would be:

2025: 23 May Shift 1

How much an angular distance will be covered by the minute hand of a correct clock in a period of 1 h 45 min?

2025: 21 May Shift 1

If 17th March falls on 4th day after tomorrow which is Thursday, then what day of week will fall on the last date of the month?

2023: 28 May Shift 1

I have a calendar of year 2001. In which year can I use it again ?

2026: 30 May Shift 2

If a clock strikes six times in five seconds, then what shall be the number of strikes in ten seconds made by the clock?

Find the angle traced by the hour hand of a correct clock between 10 a.m. and 3:44 p.m. on the same day.

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)