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What is the difference in the degree measures of the angles formed by

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New post 31 Jan 2019, 22:03
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A
B
C
D
E

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Question Stats:

47% (02:01) correct 53% (01:16) wrong based on 75 sessions

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New post 31 Jan 2019, 23:44
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Bunuel wrote:
What is the difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36? ​

A) 1°

B) ​5°

C) ​5.5°

D) ​6°

E) ​30°



12 O'clock the angle between the hour hand and minute hand = 0º

CONCEPT: The minute hand moves in 1 min = 6º
The Hour hand moves in 1 min = (1/2)º

i.e. Change of angle between minute hand and hour hand in every minute = 6-(1/2) = 11/2º


i.e at 12:35, change in angle in 35 minutes after 12 o'clock = 35*(11/2) = 385/2
i.e. at 12:36, change in angle in 36 minutes after 12 o'clock = 36*(11/2) = 396/2

Difference of angles = (396/2)-(385/2) = 11/2º

Answer: Option C
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Re: What is the difference in the degree measures of the angles formed by  [#permalink]

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New post 01 Feb 2019, 10:42
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Bunuel wrote:
What is the difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36? ​

A) 1°

B) ​5°

C) ​5.5°

D) ​6°

E) ​30°


angle between minute and hr
11/2* min-30 * hr

12:36 angle - 12:35 angle
11/2 * 36-30 * 12 - 11/2 * 35 + 30 * 12
=> 11/2 * ( 36-35)
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Re: What is the difference in the degree measures of the angles formed by  [#permalink]

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New post 02 Feb 2019, 03:28
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Minutes hand completes one rotation of clock in 60 minutes. Therefore, in one minute, it will swipe 360/60= 6 Deg.

Hours hand completes one rotation of clock in 12hours (720 minutes). Therefore, in one minute, it will swipe 360/720= 0.5 Deg.

So, resultant change in angle will be 6-0.5 = 5.5 degree.

Ans C

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Re: What is the difference in the degree measures of the angles formed by  [#permalink]

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New post 02 Feb 2019, 15:25
Bunuel wrote:
What is the difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36? ​

A) 1°

B) ​5°

C) ​5.5°

D) ​6°

E) ​30°


[(36-36/12)-(35-35/12)]*6°=5.5°
C
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Re: What is the difference in the degree measures of the angles formed by  [#permalink]

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New post 08 Sep 2019, 23:56
Bunuel wrote:
What is the difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36? ​

A) 1°

B) ​5°

C) ​5.5°

D) ​6°

E) ​30°


Asked: What is the difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36? ​

1 minute = 1 hour / 60 = 360 / 60 = 6 degree
Difference in minute hand = 6 degrees

1 minute = 1 hour / 60 = (360/12) / 60 degrees = .5 degree
Difference in hour hand = .5 degrees

Total difference in angles formed by minute hand and hour hand = 6 - .5 = 5.5 degrees

IMO C
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Re: What is the difference in the degree measures of the angles formed by   [#permalink] 08 Sep 2019, 23:56
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