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

 It is currently 22 Feb 2019, 09:10

### 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
• ### 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
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287

Author Message
TAGS:

### Hide Tags

Manager
Joined: 16 May 2011
Posts: 183
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

Updated on: 28 Oct 2014, 04:16
14
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:16) correct 37% (01:33) wrong based on 176 sessions

### HideShow timer Statistics

Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287 is divided by 16

A. 1
B. 7.
C. 2.
D. 3
E. 9

Originally posted by dimri10 on 23 Jun 2011, 01:45.
Last edited by Bunuel on 28 Oct 2014, 04:16, edited 1 time in total.
Renamed the topic and edited the question.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8895
Location: Pune, India
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

17 Nov 2014, 22:20
9
10
dimri10 wrote:
Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287 is divided by 16

A. 1
B. 7.
C. 2.
D. 3
E. 9

A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4. A number ending in 3 zeroes is divisible by 8. A number ending in 4 zeroes in divisible by 16.
Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.

42,527,152,653,425,416,242,624,272,427,215,287 = 42,527,152,653,425,416,242,624,272,427,210000 + 5287

The first number is divisible by 16. You just have to find the remainder when you divide 5287 by 16. That will be the remainder when you divide the original number by 16.

5287/16 gives remainder 7.

_________________

Karishma
Veritas Prep GMAT Instructor

Current Student
Joined: 26 May 2005
Posts: 500
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 02:59
2
3
dimri10 wrote:
whats the reminder when 42527152653425416242624272427215287 is dividd by 16

a.1
b.7.
c.2.
d.3
e.9

divisibility by 16 .. take last 4 digits
5287 mod 16 = 7
hence B
##### General Discussion
Retired Moderator
Joined: 16 Nov 2010
Posts: 1406
Location: United States (IN)
Concentration: Strategy, Technology
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 04:43
1
I tried the following approach:

42527152653425416242624272427215287/16 = 42527152653425416242624272427215280/16 + 7/16

Now the last two digits of first term, 80 is divisible by 4 and so is the denominator 16.

Again, 80/16 = 20/4 also divides , so remainder = 7

But I'm not 100% convinced with my approach.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Current Student
Joined: 26 May 2005
Posts: 500
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 04:53
subhashghosh wrote:
I tried the following approach:

42527152653425416242624272427215287/16 = 42527152653425416242624272427215280/16 + 7/16

Now the last two digits of first term, 80 is divisible by 4 and so is the denominator 16.

Again, 80/16 = 20/4 also divides , so remainder = 7

But I'm not 100% convinced with my approach.

Hi Subhash, even i doubt your approach.. I tried randomly sum numbers using ur approach, but it doesnt work..

http://staff.argyll.epsb.ca/jreed/math7 ... 1/1104.htm
Retired Moderator
Joined: 16 Nov 2010
Posts: 1406
Location: United States (IN)
Concentration: Strategy, Technology
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 04:55
Yup.. I'll wait for experts to opine on this.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 16 May 2011
Posts: 183
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 09:22
sudhir18n wrote:
dimri10 wrote:
whats the reminder when 42527152653425416242624272427215287 is dividd by 16

a.1
b.7.
c.2.
d.3
e.9

divisibility by 16 .. take last 4 digits
5287 mod 16 = 7
hence B

it seems like a wise mehod.kudos
Director
Joined: 01 Feb 2011
Posts: 654
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 20:06
@sudhir18n

even though your approach worked here , i dont think it can be generalized that way. It may not yield the right answer all the time.

eg : 2782 when divided by 16 leaves a remainder of 6

but 12782 when divided by 16 leaves a remainder of 14

so if we you get 12782 and were asked to find remainder when divided by 16
if you go by 4 digit approach then that would be wrong..

sudhir18n wrote:
dimri10 wrote:
whats the reminder when 42527152653425416242624272427215287 is dividd by 16

a.1
b.7.
c.2.
d.3
e.9

divisibility by 16 .. take last 4 digits
5287 mod 16 = 7
hence B
Current Student
Joined: 26 May 2005
Posts: 500
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 22:18
Spidy001 wrote:
@sudhir18n

even though your approach worked here , i dont think it can be generalized that way. It may not yield the right answer all the time.

eg : 2782 when divided by 16 leaves a remainder of 6

but 12782 when divided by 16 leaves a remainder of 14

so if we you get 12782 and were asked to find remainder when divided by 16
if you go by 4 digit approach then that would be wrong..

sudhir18n wrote:
dimri10 wrote:
whats the reminder when 42527152653425416242624272427215287 is dividd by 16

a.1
b.7.
c.2.
d.3
e.9

divisibility by 16 .. take last 4 digits
5287 mod 16 = 7
hence B

are you sure 2782 mod 16 = 6
im getting 14 ..
Director
Joined: 01 Feb 2011
Posts: 654
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

23 Jun 2011, 22:51
Yeah u r right. I mis calculated that one .

Posted from my mobile device
Manager
Joined: 19 Apr 2011
Posts: 84
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

24 Jun 2011, 00:28
Can someone pls explain what the approach should be for such a question
Joined: 31 Dec 1969
Location: Russian Federation
WE: Supply Chain Management (Energy and Utilities)
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

24 Jun 2011, 08:52
We all know 100 is divisible by 4 so 100x100 is divisible by 4x4. To find the remainder of A divided by 16, we just need the last 4 digits.
Manager
Joined: 26 May 2013
Posts: 53
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

17 Nov 2014, 15:57
1
1
16 is a multiple of 8 and 2. A number can be checked for 8, by dividing the last 3 digits and for 2 by dividing the last digit. Here 287 will result in 7 as a remainder when divided by 8 and 1 when divided by 2. Therefore the remainder is 7*1 = 7.
Break down the divisor into smaller factors and perform the division check.

dimri10 wrote:
Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287 is divided by 16

A. 1
B. 7.
C. 2.
D. 3
E. 9
Intern
Joined: 11 Mar 2015
Posts: 16
GPA: 3.4
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

05 Dec 2015, 07:25
can we follow this approach every time ? for last 2,3,4 digits and check the divisibility test ?
Intern
Joined: 10 Jun 2016
Posts: 48
Schools: IIM-A"19
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

01 Mar 2017, 13:21
Amit0507 wrote:
16 is a multiple of 8 and 2. A number can be checked for 8, by dividing the last 3 digits and for 2 by dividing the last digit. Here 287 will result in 7 as a remainder when divided by 8 and 1 when divided by 2. Therefore the remainder is 7*1 = 7.
Break down the divisor into smaller factors and perform the division check.

dimri10 wrote:
Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287 is divided by 16

A. 1
B. 7.
C. 2.
D. 3
E. 9

I used the same approach of 287 div by 8 gives remainder as 7. Now I divided 7 by 2 to get remainder as 1. So my Answer was A, which i now know is wrong. But I dont understand your last step of multiplying 7*1 = 7 as remainder. What's your thought process doing that step ? Any help appreciated.
_________________

Thank You Very Much,
CoolKl
Success is the Journey from Knowing to Doing

A Kudo is a gesture, to express the effort helped. Thanks for your Kudos.

Non-Human User
Joined: 09 Sep 2013
Posts: 9894
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287  [#permalink]

### Show Tags

06 Feb 2019, 18:51
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Whats the reminder when 42,527,152,653,425,416,242,624,272,427,215,287   [#permalink] 06 Feb 2019, 18:51
Display posts from previous: Sort by