Aptitude Archives - Page 56 of 80 -

At what angle the hands of a clock are inclined at 15 minutes past 5?

Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
[A].

58	1	°
	2

[B].

64°

[C].

67	1	°
	2

[D].

72	1	°
	2

Answer: Option C

Explanation:

Angle traced by hour hand in	21	hrs =		360	x	21		°	=	157	1	°
	4			12		4					2

Angle traced by min. hand in 15 min. =		360	x 15		°	= 90°.
		60

Required angle =		157	1		°	– 90° = 67	1	°
			2				2

At what angle the hands of a clock are inclined at 15 minutes past 5? Read More »

Aptitude, Clock

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

Aptitude, Clock / admin

Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
[A].

0°

[B].

10°

[C].

5°

[D].

20°

Answer: Option B

Explanation:

Angle traced by hour hand in	13	hrs =		360	x	13		°	= 130°.
	3			12		3

Angle traced by min. hand in 20 min. =		360	x 20		°	= 120°.
		60

Required angle = (130 – 120)° = 10°.

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: Read More »

Aptitude, Clock

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

Aptitude, Clock / admin

Question: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
[A].

80°

[B].

75°

[C].

60°

[D].

105°

Answer: Option B

Explanation:

Angle traced by hour hand in	17	hrs =		360	x	17		°	= 255°.
	2			12		2

Angle traced by min. hand in 30 min. =		360	x 30		°	= 180°.
		60

Required angle = (255 – 180)° = 75°.

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is: Read More »

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At 3:40, the hour hand and the minute hand of a clock form an angle of:

Aptitude, Clock / admin

Question: At 3:40, the hour hand and the minute hand of a clock form an angle of:
[A].

120°

[B].

125°

[C].

130°

[D].

135°

Answer: Option C

Explanation:

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

Angle traced by it in	11	hrs =		360	x	11		°	= 110°.
	3			12		3

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

Angle traced by it in 40 min. =		360	x 40		°	= 240°.
		60

Required angle (240 – 110)° = 130°.

At 3:40, the hour hand and the minute hand of a clock form an angle of: Read More »

Aptitude, Clock

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?

Aptitude, Clock / admin

Question: 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: Option D

Explanation:

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

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? Read More »

Aptitude, Clock

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

Aptitude, Clock / admin

Question: 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: Option C

Explanation:

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

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

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If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

Aptitude, Chain Rule / admin

Question:
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

[A].

[B].

[C].

[D].

Answer: Option C

Explanation:

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

Spiders	1	:	7		:: 7 : x
Webs	7	:	1		:: 7 : x

1 x 7 x x = 7 x 1 x 7

x = 7.

If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days? Read More »

Aptitude, Chain Rule

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

Aptitude, Chain Rule / admin

Question:
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

[A].

[B].

[C].

[D].

Answer: Option D

Explanation:

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

Pumps	4	:	3		:: 8 : x
Days	1	:	2		:: 8 : x

4 x 1 x x = 3 x 2 x 8

x =	(3 x 2 x 8)
	(4)

x = 12.

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day? Read More »

Aptitude, Chain Rule

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

Aptitude, Chain Rule / admin

Question:
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

[A].

[B].

[C].

[D].

Answer: Option B

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)