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# If an analogue clock indicates that the time is exactly 5 o'clock, wha

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
If an analogue clock indicates that the time is exactly 5 o'clock, wha  [#permalink]

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02 Sep 2018, 22:02
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Difficulty:

15% (low)

Question Stats:

100% (01:11) correct 0% (00:00) wrong based on 17 sessions

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If an analogue clock indicates that the time is exactly 5 o'clock, what is the measure of the angle between the hour hand and the minute hand?

A. 50 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees
E. 150 degrees

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Math Expert
Joined: 02 Aug 2009
Posts: 8023
If an analogue clock indicates that the time is exactly 5 o'clock, wha  [#permalink]

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02 Sep 2018, 22:21
Bunuel wrote:
If an analogue clock indicates that the time is exactly 5 o'clock, what is the measure of the angle between the hour hand and the minute hand?

A. 50 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees
E. 150 degrees

So there are two hands hour hand and minute hand.......
some info
1) minute hand -
Total 60 min and 360° so each minute =$$\frac{360}{60}=6$$°
Since minute hand is at 12, it makes 0° with the 12 O'clock
2) hour hand
It moves 360 in 12h as the hour hand completes 1 circle in 12 hour, so $$\frac{360}{12}=30$$° in 1 hour
If it moves 30° in 1 hour, it will move $$30*5=150$$° in 5 hour..

Also angle between 12( minute hand) and 5( hour hand) = $$360*\frac{5}{12}=150$$

E
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If an analogue clock indicates that the time is exactly 5 o'clock, wha   [#permalink] 02 Sep 2018, 22:21
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