An accurate clock shows the time as 9:00. After the hour hand has moved to 140°, the time would be Option 1: 1:40 Option 2: 12:00 Option 3: 2:00 Option 4: 11:40

Answer: 1:40. Solution: The hour hand sweeps 360^ in 12 hours, i.e. 30^ per hour. Time taken = 140 30 = 42/3 hours = 4 hours 40 minutes. Adding this to 9:00 gives 1:40.

Logical Reasoning

Clocks & Calendar

Medium

An accurate clock shows the time as 9:00. After the hour hand has moved to 140°, the time would be

1:40

12:00

2:00

11:40

✅ Correct Option: 1

The hour hand sweeps $360^\circ$ in 12 hours, i.e. $30^\circ$ per hour.

Time taken $= 140 \div 30 = 4\dfrac{2}{3}$ hours $= 4$ hours 40 minutes.

Adding this to 9:00 gives 1:40.

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List I	List II
(Time)	(Angle between the hour hand and minute hand of a clock)
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(B) 3:10 p.m.	(II) $40^{\circ}$
(C) 5:30 p.m.	(III) $50^{\circ}$
(D) 6:40 p.m	(IV) $15^{\circ}$

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Solution

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