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The clockwise angle made by the hour hand and the minute han

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Carcass
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The clockwise angle made by the hour hand and the minute han [#permalink] New post   23 Mar 2019, 10:27
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Quantity A
Quantity B
The clockwise angle made by the hour hand and the minute hand at 12:15pm
The counterclockwise angle made by the hour hand and the minute hand at 12:45pm


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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B
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B
amorphous
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   30 Mar 2019, 08:40
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In the surface it seems quantity A and quantity B are same. It seems that both quantity would be equal to 90 degrees.
However, when it is 12:15 along with the minute hand hour hand will move as well but slightly as a result Qty A would be less than 90 degrees.

Similarly when the clock is at 12:45 the anticlockwise measure of the angle will be more than 90 degrees because the hour hand will slightly move towards 1'0 clock increasing the degree spread to more than 90 degrees.
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   07 Apr 2019, 13:00
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it is clearly visible and imaginable that which angle will be greater .

The answer is B

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Tarang100
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   07 Jun 2019, 08:55
I've never seen this sort of clock questions in the official guide.
A humble request to all the faculties of Greprep to put some light on these.
Thankyou.
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   07 Jun 2019, 11:37
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This is a question from the ancient OG released by ETS.

However, it is still quite good for practice.

The fact that it will not appear, maybe never, during the exam does not mean it is not good to stretch your mental muscle :wink:

Regards
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   07 Jun 2019, 12:45
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Carcass wrote:
Quantity A
Quantity B
The clockwise angle made by the hour hand and the minute hand at 12:15pm
The counterclockwise angle made by the hour hand and the minute hand at 12:45pm


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


At 12:15, the minute hand is horizontal, and ...
Attachment:
The clockwise angle made by the hour hand1.png
The clockwise angle made by the hour hand1.png [ 19.72 KiB | Viewed 5890 times ]

... the hour hand creates an angle that's LESS THAN 90 degrees.


At 12:55, the minute hand is horizontal, and ...
Attachment:
The clockwise angle made by the hour hand2.png
The clockwise angle made by the hour hand2.png [ 19.73 KiB | Viewed 9156 times ]

... the hour hand creates an angle that's GREATER THAN 90 degrees.

We get:
QUANTITY A: An angle that's LESS THAN 90 degrees
QUANTITY B: An angle that's GREATER THAN 90 degrees

Answer: B

Cheers,
Brent
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kobby
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   03 Aug 2019, 18:30
We could say that by the design of the clock, because the Hr hand moves relatively much slower, it is set in motion in advance so it could catch up. hope this makes some sense?

Ques: could we then conclude the same relationship between the minute hand and the second hand?
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Re: The clockwise angle made by the hour hand and the minute han [#permalink] New post   13 Jul 2022, 22:03
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The clockwise angle made by the hour hand and the minute han [#permalink]
13 Jul 2022, 22:03
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