At what time between 10.00 am and 11.00 am, the minute hand and the hour hand of a watch would make an angle of 180°? Option 1: 10:15 am Option 2: 10:55 am Option 3: 10:30 am Option 4: 10:22 am

Answer: 10:22 am. Solution: At 10:00 the hour hand is at 300° and the minute hand at 0°. After t minutes the gap is, 5.5t - 300, . Setting 5.5t - 300 = -180 gives t = 120/5.5 = 219/11 minutes. The other case gives t > 60, which is outside the hour. So the time is about 10:22 am.

Logical Reasoning

Clocks & Calendar

Medium

At what time between 10.00 am and 11.00 am, the minute hand and the hour hand of a watch would make an angle of 180°?

10:15 am

10:55 am

10:30 am

10:22 am

✅ Correct Option: 4

At 10:00 the hour hand is at $300°$ and the minute hand at $0°$ . After $t$ minutes the gap is $|5.5t - 300|$ .

Setting $5.5t - 300 = -180$ gives $t = \frac{120}{5.5} = 21\frac{9}{11}$ minutes.

The other case gives $t > 60$ , which is outside the hour. So the time is about 10:22 am.

2025: 23 May Shift 1

If 26 January 2023 was Thursday, then what day of the week was it on 26th January 2024?

2025: 22 May Shift 2

What will be the angle between hour hand and minute hand of the clock at 7:15?

2023: 5 June Shift 2

If January 1 is a Friday, then what is the first day of the month of March in that leap year ?

2025: 24 May Shift 2

It was Monday on 16 January 2023. What was the day on 12 January 2024?

2025: 26 May Shift 1

If it was a Monday on 1 January 2018, what was the day of the week on 31 December 2020?

2022: 23 Aug Shift 1

On 7th March, 2005 Monday falls. What was the day of the week on 7th March 2004?

At what time between 10.00 am and 11.00 am, the minute hand and the hour hand of a watch would make an angle of 180°?

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)