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

 It is currently 21 Feb 2019, 03:53

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

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

### Show Tags

29 Jan 2019, 00:24
00:00

Difficulty:

55% (hard)

Question Stats:

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

### HideShow timer Statistics

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

_________________
Director
Joined: 18 Jul 2018
Posts: 675
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
At 4.40 what is the minor angle between the hour hand and the minute  [#permalink]

### Show Tags

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.

_________________

Press +1 Kudo If my post helps!

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

### Show Tags

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
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

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

_________________

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

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