 It is currently 26 Mar 2019, 04:33 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # GRE Math Challenge #7-angles formed by the hour hand  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783  , given: 397

GRE Math Challenge #7-angles formed by the hour hand [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 38% (00:28) correct 61% (01:06) wrong based on 13 sessions
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
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Intern Joined: 18 Jun 2014
Posts: 42
Followers: 1

Kudos [?]: 26  , given: 15

Re: GRE Math Challenge #7 [#permalink]
1
KUDOS
Refreshing the equivalences, 1 hour=60 mins, 1 min = 60 secs
In a clock the total angle traversed by both hour & minute hands = 360 degrees
In a times period from 12:35 to 12:36 or during 1 minute we have following info:

(i) the minute hand moved in 1 hr = 360 degrees
the minute hand moved in 1 min = 360/60 = 6 degrees
(ii) the hour hand moved in 12 hours = 360 degrees
the hour hand moved in 1 hour = 360/12 = 30 degrees => the hour hand moved in 1 min = 30/60 = 0.5 degrees

Hence, the difference between the 2 hands during that 1 minute = 6 - 0.5 = 5.5 degrees
Intern Joined: 08 Apr 2018
Posts: 44
Followers: 0

Kudos [?]: 15 , given: 16

Re: GRE Math Challenge #7 [#permalink]
13divyasha wrote:
Refreshing the equivalences, 1 hour=60 mins, 1 min = 60 secs
In a clock the total angle traversed by both hour & minute hands = 360 degrees
In a times period from 12:35 to 12:36 or during 1 minute we have following info:

(i) the minute hand moved in 1 hr = 360 degrees
the minute hand moved in 1 min = 360/60 = 6 degrees
(ii) the hour hand moved in 12 hours = 360 degrees
the hour hand moved in 1 hour = 360/12 = 30 degrees => the hour hand moved in 1 min = 30/60 = 0.5 degrees

Hence, the difference between the 2 hands during that 1 minute = 6 - 0.5 = 5.5 degrees

I really dont follow this explanation. Can you expatiate further, pleasE? Director Joined: 20 Apr 2016
Posts: 828
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603  , given: 124

Re: GRE Math Challenge #7 [#permalink]
1
KUDOS
Emike56 wrote:

I really dont follow this explanation. Can you expatiate further, pleasE?

We know to make a one complete cycle all the hands need to cover 360°; Now For solving it is useful to know some of the basic

a) Angle covered by the second hand in 1 second = 6°
This is because one complete cycle is 360° and the second hand takes 60 seconds to complete 360°; hence in 1 second it will cover = 360/60 = 6°

b) Angle covered by the minute hand in 1 minute = 6°

Similarly it takes 60 minutes by the minute hand to complete 360°; hence 1 min it will cover = 360/60 =6°

c) Angle covered by the hour hand in 1 hour = 30°

This is because it takes 12 hour by the hour hand to complete 360°; hence 1 hour it will cover = 360/12 =30°

d) Angle covered by the hour hand in 1 minute = 360°/720° = 1/2° =0.5°

Since it will take 720 minutes (12 hour * 60 minutes =720 minutes) to complete 360 degree, so in 1 minute the hour hand will cover = 360/720 = 0.5°

e) The minute and hour hands coincide 22 times in a day or 11 times in 12 hours

Now back to question:-
we are required to find the difference in angle between hour hand and minute hand from 12:35 to 12:36.

For this we have to convert hour to minutes, sinse the difference is of 1 minute

As we know
Angle covered by the minute hand in 1 minute =6°

and angle covered by hour hand in 1 minute = 360°/720° = 0.5°
So the difference of angle between hour hand and minute hand for 1 minute = 6° - 0.5° = 5.5°
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Intern Joined: 07 Jun 2018
Posts: 29
GRE 1: Q155 V165 Followers: 0

Kudos [?]: 1 , given: 0

Re: GRE Math Challenge #7-angles formed by the hour hand [#permalink]
Good explanation thanku  Re: GRE Math Challenge #7-angles formed by the hour hand   [#permalink] 27 Jun 2018, 09:54
Display posts from previous: Sort by

# GRE Math Challenge #7-angles formed by the hour hand  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.