Join us for MBA Spotlight – The Top 20 MBA Fair      Schedule of Events | Register

 It is currently 05 Jun 2020, 10:44

### 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

# If N and P denote the nonzero digits of a four-digit number NNPP, is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64314
If N and P denote the nonzero digits of a four-digit number NNPP, is  [#permalink]

### Show Tags

15 Feb 2018, 22:30
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:11) correct 24% (00:57) wrong based on 82 sessions

### HideShow timer Statistics

If N and P denote the nonzero digits of a four-digit number NNPP, is NNPP divisible by 4?

(1) NPP is divisible by 8.

(2) NPP is divisible by 4.

_________________
Current Student
Joined: 07 Jan 2016
Posts: 1082
Location: India
GMAT 1: 710 Q49 V36
Re: If N and P denote the nonzero digits of a four-digit number NNPP, is  [#permalink]

### Show Tags

15 Feb 2018, 22:39
Bunuel wrote:
If N and P denote the nonzero digits of a four-digit number NNPP, is NNPP divisible by 4?

(1) NPP is divisible by 8.

(2) NPP is divisible by 4.

Divisibility rule for 8 - Last 3 digits of a number must be divisible by 8
Divisibility rule for 4 - last 2 digits of a number must be divisible by 4

we can see both B and A are sufficient

ex - 144 mod 8 = 0

1144 mod 4 = 0

D imo
GMAT Club Legend
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4054
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Re: If N and P denote the nonzero digits of a four-digit number NNPP, is  [#permalink]

### Show Tags

17 Feb 2018, 04:20
Bunuel wrote:
If N and P denote the nonzero digits of a four-digit number NNPP, is NNPP divisible by 4?

(1) NPP is divisible by 8.

(2) NPP is divisible by 4.

Rule of divisibility of 8 - Last 3 digits of the number must be divisible by 8
Rule of divisibility of 4 - Last 2 digits of the number must be divisible by 8
If the number is divisible by 8 then it will also be divisible by all its factors i.e. by 2,4 and 8

Question: is NNPP divisible by 4?

Statement 1: NPP is divisible by 8

i.e. the number is divisible by 8 hence it has to be divisible by 4 as well

SUFFICIENT

Statement 1: NPP is divisible by 4

i.e. the number is divisible by 4 hence

SUFFICIENT

_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l OG QUANT 50 Qn+VIDEO Sol.
Non-Human User
Joined: 09 Sep 2013
Posts: 15087
Re: If N and P denote the non-zero digits of a four-digit number  [#permalink]

### Show Tags

07 Aug 2019, 02:09
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: If N and P denote the non-zero digits of a four-digit number   [#permalink] 07 Aug 2019, 02:09