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

It is currently 19 Jun 2018, 05:31

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

Events & Promotions in June
Open Detailed Calendar

If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5577
GMAT 1: 800 Q59 V59
GPA: 3.82
If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4 [#permalink]

Show Tags

New post 19 May 2017, 01:51
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (00:39) correct 22% (00:43) wrong based on 37 sessions

HideShow timer Statistics

If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4?

1) a=2.
2) b=3.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1192
Location: India
Premium Member
Re: If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4 [#permalink]

Show Tags

New post 19 May 2017, 02:15
Lets look at this expression: 100a + 10b + 2.
Here 100a will be always be divisible by 4 whether 'a' be any digit (because 100 is divisible by 4).
We just need to know whether 10b + 2 is divisible by 4 or not. For this we need to know something about 'b'.

Statement 1. Doesn't help, nothing about 'b'. Insufficient.

Statement 2. b=3, 10b + 2 = 32, which is divisible by 4. Sufficient.

Hence answer is B.
Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5577
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4 [#permalink]

Show Tags

New post 21 May 2017, 17:59
==> If you modify the original condition and the question, the remainder when an integer n is divided by 4 is equal to the remainder when only the units digit and the tens digit are divided by 4, and so you only need to find b. Thus, for con 2), you get b=3, which becomes 10(3)+2=32, and so it is always divisible by 4, hence yes, it is sufficient.

The answer is B.
Answer: B
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4   [#permalink] 21 May 2017, 17:59
Display posts from previous: Sort by

If a and b are 1-digit positive integers, is 100a+10b+2 divisible by 4

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


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®.