GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Feb 2019, 03:53

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

At 4.40 what is the minor angle between the hour hand and the minute

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53061
At 4.40 what is the minor angle between the hour hand and the minute  [#permalink]

Show Tags

New post 29 Jan 2019, 00:24
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

31% (01:37) correct 69% (01:13) wrong based on 21 sessions

HideShow timer Statistics

Director
Director
User avatar
P
Joined: 18 Jul 2018
Posts: 675
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member Reviews Badge CAT Tests
At 4.40 what is the minor angle between the hour hand and the minute  [#permalink]

Show Tags

New post 29 Jan 2019, 00:38
The formula to calculate the angle between the hour hand and the minute hand is given by

ϴ (Theta or Angle) = \(|\frac{11}{2}*M - 30*H|\) = \(|\frac{11}{2}*40-30*4|\) = |220-120| = 100

M is minutes and H is hours.

A is the answer.
_________________

Press +1 Kudo If my post helps!

SVP
SVP
User avatar
G
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: At 4.40 what is the minor angle between the hour hand and the minute  [#permalink]

Show Tags

New post 29 Jan 2019, 01:29
Bunuel wrote:
At 4.40 what is the minor angle between the hour hand and the minute hand.

(A) 100
(B) 110
(C) 120
(D) 130
(E) 150


use formula :
11* min/2 - 30* hr

11*40/2- 30*4
= 100
IMO A
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2589
Re: At 4.40 what is the minor angle between the hour hand and the minute  [#permalink]

Show Tags

New post 29 Jan 2019, 02:33

Solution


To find:
    • The minor angle between the hour hand and the minute hand at 4:40

Approach and Working:
At 4:40,
    • The minute hand will exactly be on 8, and
    • The hour hand lies between 4 and 5

Let’s find the angle, when the hours hand is on 4 and the minutes hand is on 8
    • Angle between any two consecutive digits in a clock = \(\frac{360}{12} = 30\)
    • Thus, the angle between 4 and 8 = 4 * 30 = 120 degrees

From this, we need to subtract the angle covered by hours hand in 40 minutes after 4.
    • Hours hand covers 30 degrees in 1 hour or 60 minutes
    • Thus, it covers \(30 * \frac{40}{60} = 20\) degrees in 40 minutes

Therefore, the angle between hours and minutes hand at 4:40 = 120 – 20 = 100 degrees

Hence, the correct answer is Option A

Answer: A

Image

_________________








Register for free sessions
Number Properties:- Get 5 free video lessons, 50 practice questions | Algebra:-Get 4 free video lessons, 40 practice questions
Quant Workshop:- Get 100 practice questions | Free Strategy Weession:- Key strategy to score 760

Success Stories
Q38 to Q50 | Q35 to Q50 | More Success Stories

Ace GMAT
Articles and Question to reach Q51 | Question of the week | Tips From V40+ Scoreres | V27 to V42:- GMAT 770 | Guide to Get into ISB-MBA

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

GMAT Club Bot
Re: At 4.40 what is the minor angle between the hour hand and the minute   [#permalink] 29 Jan 2019, 02:33
Display posts from previous: Sort by

At 4.40 what is the minor angle between the hour hand and the minute

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.