Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 Oct 2015, 05:31

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the angle between the minute and the hour hand of the clock wh

Author Message
TAGS:
VP
Joined: 18 May 2008
Posts: 1293
Followers: 14

Kudos [?]: 223 [1] , given: 0

What is the angle between the minute and the hour hand of the clock wh [#permalink]  16 Nov 2008, 22:15
1
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:28) correct 30% (01:23) wrong based on 110 sessions
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
[Reveal] Spoiler: OA
Director
Joined: 14 Aug 2007
Posts: 733
Followers: 8

Kudos [?]: 132 [1] , given: 0

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  16 Nov 2008, 22:45
1
KUDOS
ritula wrote:
What is the angle between the minute and the hour hand of the clock which shows 12:24?

115
120
124
130
132

At 12:24
-minute hand will be at 24*6 = 144 degrees from position of 12.
- Hour hand will move by 2*6 = 12 degree during the same time

So the difference between the two hands will be 144-12 = 132 degrees.
Manager
Joined: 14 Oct 2008
Posts: 160
Followers: 1

Kudos [?]: 35 [1] , given: 0

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  17 Nov 2008, 04:06
1
KUDOS
hour hand moves 5 minutes when minute hand moves 60 minutes. Hence when minute hand moved 24 minutes, hour hand moved 24 *5 / 60 i.e. 2 minutes.
Director
Joined: 14 Aug 2007
Posts: 733
Followers: 8

Kudos [?]: 132 [0], given: 0

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  17 Nov 2008, 05:19
ritula wrote:
can u pls explain this?
alpha_plus_gamma wrote:

At 12:24
-minute hand will be at 24*6 = 144 degrees from position of 12.
- Hour hand will move by 2*6 = 12 degree during the same time

So the difference between the two hands will be 144-12 = 132 degrees.

yeah, exactly in the way provided by gameCode

gameCode wrote:
hour hand moves 5 minutes when minute hand moves 60 minutes. Hence when minute hand moved 24 minutes, hour hand moved 24 *5 / 60 i.e. 2 minutes.
Manager
Joined: 02 Oct 2009
Posts: 93
Followers: 1

Kudos [?]: 17 [0], given: 2

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  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..
Math Expert
Joined: 02 Sep 2009
Posts: 29679
Followers: 4890

Kudos [?]: 53130 [1] , given: 8043

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  14 Dec 2009, 15:19
1
KUDOS
Expert's post
5
This post was
BOOKMARKED
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..

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.
_________________
Senior Manager
Joined: 25 Sep 2012
Posts: 280
Location: India
Concentration: Strategy, Marketing
Schools: Ivey '17
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
Followers: 0

Kudos [?]: 89 [0], given: 237

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  30 Sep 2014, 07:01
such questions are asked on GMAT? I have never encountered this type in OG, gmatprep or any other test prep material
Math Expert
Joined: 02 Sep 2009
Posts: 29679
Followers: 4890

Kudos [?]: 53130 [0], given: 8043

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]  30 Sep 2014, 07:40
Expert's post
2
This post was
BOOKMARKED
ritula wrote:
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] 30 Sep 2014, 07:40
Similar topics Replies Last post
Similar
Topics:
3 What is the measure of the smaller angle between the hour and the 6 13 May 2015, 13:19
5 A clock loses a minute every three hours for 4 days and gain 7 03 Jul 2013, 21:42
7 The minute hand of a clock 2 24 Oct 2010, 10:57
6 What is the angle between the minute and the hour hand of the clock wh 5 25 Jul 2010, 20:47
11 There are how many hours between x minutes past 12 noon and 6 09 Jun 2009, 19:24
Display posts from previous: Sort by