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Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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14 Dec 2009, 01:58

I read somewhere there is a direct formula to solve this question..2) Angle between m and h hand is ( 11/2) *m – 30 * h can this be apply here? if yes should i take the value of h =12 ..taking this I am not getting the answer.. Please suggest

I read somewhere there is a direct formula to solve this question..2) Angle between m and h hand is ( 11/2) *m – 30 * h can this be apply here? if yes should i take the value of h =12 ..taking this I am not getting the answer.. Please suggest

You just should substitute h=0 in it, not h=12.

General formula is:

\(|\frac{11}{2}m - 30h|\)

If the result is greater than 180 degrees, subtract it from 360 to get the included angle.

The above can be derived from the fact that: In 1 minute: Hour hand moves 0.5 degrees, Minute hand moves 6 degrees.

AND

In an hour: Hour hand moves 30 degrees, Minute hand moves 360 degrees.

What is the angle between the minute and the hour hand of the clock which shows 12:24?

A. 115 B. 120 C. 124 D. 130 E. 132

M12-26

What is the angle between the minute and the hour hand of the clock which shows 12:24?

A. 115 B. 120 C. 124 D. 130 E. 132

From the position of hands on 12:00 (both hands are vertical) hour hand moves \(\frac{360}{12*60}=0.5\) degrees in 1 minute and minute hand moves \(\frac{360}{60}=6\) degrees in 1 minute.

Hence at 12:24, after 24 minutes from 12:00, when both hands are vertical, hour hand will move \(24*0.5=12\) degrees from the vertical position and minute hand will move \(24*6=144\) degrees from vertical position.

So the angle between them will be \(144-12=132\) degrees.

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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19 Oct 2015, 12:22

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Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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19 Oct 2016, 20:05

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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01 Jan 2017, 18:27

Bunuel wrote:

KocharRohit wrote:

I read somewhere there is a direct formula to solve this question..2) Angle between m and h hand is ( 11/2) *m – 30 * h can this be apply here? if yes should i take the value of h =12 ..taking this I am not getting the answer.. Please suggest

You just should substitute h=0 in it, not h=12.

General formula is:

\(|\frac{11}{2}m - 30h|\)

If the result is greater than 180 degrees, subtract it from 360 to get the included angle.

The above can be derived from the fact that: In 1 minute: Hour hand moves 0.5 degrees, Minute hand moves 6 degrees.

AND

In an hour: Hour hand moves 30 degrees, Minute hand moves 360 degrees.

Hope it's clear.

Please can anyone elaborate on when to assign positive and negative signs when opening the modulus in the general formula given above?

I read somewhere there is a direct formula to solve this question..2) Angle between m and h hand is ( 11/2) *m – 30 * h can this be apply here? if yes should i take the value of h =12 ..taking this I am not getting the answer.. Please suggest

You just should substitute h=0 in it, not h=12.

General formula is:

\(|\frac{11}{2}m - 30h|\)

If the result is greater than 180 degrees, subtract it from 360 to get the included angle.

The above can be derived from the fact that: In 1 minute: Hour hand moves 0.5 degrees, Minute hand moves 6 degrees.

AND

In an hour: Hour hand moves 30 degrees, Minute hand moves 360 degrees.

Hope it's clear.

Please can anyone elaborate on when to assign positive and negative signs when opening the modulus in the general formula given above?

Thanks

You should take the absolute value of \(\frac{11}{2}m - 30h\), so if \(\frac{11}{2}m - 30h\) is negative you should make it positive.
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