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

 It is currently 20 Jan 2019, 11:20

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

# If n is a 6-digit positive integer, abcd96, where a is the hundred-tho

Author Message
TAGS:

### Hide Tags

Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1323
Location: Malaysia
If n is a 6-digit positive integer, abcd96, where a is the hundred-tho  [#permalink]

### Show Tags

25 Mar 2017, 05:36
00:00

Difficulty:

55% (hard)

Question Stats:

63% (01:52) correct 38% (02:44) wrong based on 39 sessions

### HideShow timer Statistics

If n is a 6-digit positive integer, abcd96, where a is the hundred-thousands digit of n, b is the ten-thousands digit of n, c is the thousands digit of n, and d is the hundreds digit of n, is n divisible by 36?

1) The remainder is 3 when $$a+b+c+d$$ is divided by 9.
2) $$a+b+c+d$$ is divisible by 3.

_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: If n is a 6-digit positive integer, abcd96, where a is the hundred-tho  [#permalink]

### Show Tags

25 Mar 2017, 06:37
1
36 = 4 * 9 --> abcd96 must be divisible by 4 and 9
Since the last two digits are 96 we know that abcd96 is divisible by 4
To check divisibility of abcd96 by 9 we have to check whether the sum, a + b + c + d + 15 is divisible by 9

St1: a + b + c + d = 9k + 3 = 3, 12, 21, 30
So a + b + c + d + 15 = 18, 27, 36, 45 --> All are divisible by 9
Sufficient.

St2: a + b + c + d = 3k = 3, 6, 9, ...
a + b + c + d + 15 = 18, 21, 27, .... --> May or may not be divisible by 9
Not Sufficient.

Re: If n is a 6-digit positive integer, abcd96, where a is the hundred-tho &nbs [#permalink] 25 Mar 2017, 06:37
Display posts from previous: Sort by