ExamAdept

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A:

59	7	min. past 3
	12

B:

4 p.m.

C:

58	7	min. past 3
	11

D:

2	3	min. past 4
	11

Answer: B

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. =	37	hrs.
	4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

	37	hrs of this clock =	1	hrs of the correct clock.
	720		20

	37	hrs of this clock =		1	x	720	x	37		hrs of the correct clock.
	4			20		37		4

= 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

A:

145°

B:

150°

C:

155°

D:

160°

Answer: C

Angle traced by hour hand in 12 hrs = 360°.

Angle traced by hour hand in 5 hrs 10 min. i.e.,	31	hrs =		360	x	31		°	= 155°.
	6			12		6

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The reflex angle between the hands of a clock at 10.25 is:

A:

180°

B:

192	1	°
	2

C:

195°

D:

197	1	°
	2

Answer: D

Angle traced by hour hand in	125	hrs =		360	x	125		°	= 312	1	°	.
	12			12		12				2

Angle traced by minute hand in 25 min =		360	x 25		°	= 150°.
		60

Reflex angle = 360° -		312	1	- 150		°	= 360° - 162	1	°	= 197	1°	.
			2					2			2

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An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

A:

144°

B:

150°

C:

168°

D:

180°

Answer: D

Angle traced by the hour hand in 6 hours =		360	x 6		°	= 180°.
		12

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Questions for: Clock