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

It is currently 20 Nov 2019, 09:29

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

There is a sequence An for a positive integer n such that when An-2 is

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

Hide Tags

Find Similar Topics 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8158
GMAT 1: 760 Q51 V42
GPA: 3.82
There is a sequence An for a positive integer n such that when An-2 is  [#permalink]

Show Tags

New post 19 Apr 2016, 06:02
1
12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (02:32) correct 35% (02:54) wrong based on 88 sessions

HideShow timer Statistics

There is a sequence An for a positive integer n such that when An-2 is divided by An-1 the remainder is An. If A3=6, A4=0, which of the following can be the value of A1?
Attachment:
positive integer.jpg
positive integer.jpg [ 14.57 KiB | Viewed 1849 times ]

A. 48
B. 50
C. 52
D. 56
E. 58


* A solution will be posted in two days.

_________________
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 $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Marshall & McDonough Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1680
Location: India
GMAT ToolKit User
There is a sequence An for a positive integer n such that when An-2 is  [#permalink]

Show Tags

New post 19 Apr 2016, 07:54
1
When A1/A2, Remainder = A3 = 6 --> A1 = xA2 + 6

When A2/A3, Remainder = A4 = 0 --> A2 = yA3

A1 = xyA3 + 6 = kA3 + 6 = 6(k + 1) --> A1 must be a multiple of 6

Only option A is a multiple of 6

Answer: A
Manager
Manager
avatar
Joined: 12 Jun 2015
Posts: 78
Reviews Badge
Re: There is a sequence An for a positive integer n such that when An-2 is  [#permalink]

Show Tags

New post 19 Apr 2016, 15:43
1
An-2 =(An-1)Q + An

A2 = (A3)Q + A4

A2 = 6Q + 0 = 6Q

therefore
A1 = (6Q)Q + 6 = 6Q^2 + 6 = 6(Q^2 + 1)

Thus A1 is definitely divisible by 6
Out of the given options, only A is divisible by 6

Correct Option : A
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8158
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: There is a sequence An for a positive integer n such that when An-2 is  [#permalink]

Show Tags

New post 21 Apr 2016, 01:26
There is a sequence An for a positive integer n such that when An-2 is divided by An-1 the remainder is An. If A3=6, A4=0, which of the following can be the value of A1?

A. 48
B. 50
C. 52
D. 56
E. 58


==> If n=4, A2=A3Q+A4=6Q+0=6Q is derived.
If n=3, from A1=A2P+A3=6QP+6=6(QP+1), it becomes always a multiple of 6.
Thus, the answer is A.
_________________
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 $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Intern
Intern
avatar
B
Joined: 18 Jul 2019
Posts: 22
Re: There is a sequence An for a positive integer n such that when An-2 is  [#permalink]

Show Tags

New post 13 Oct 2019, 10:40
MathRevolution wrote:
There is a sequence An for a positive integer n such that when An-2 is divided by An-1 the remainder is An. If A3=6, A4=0, which of the following can be the value of A1?
Attachment:
positive integer.jpg

A. 48
B. 50
C. 52
D. 56
E. 58


* A solution will be posted in two days.

Can you please clarify this?
Does the question imply that when A1/A2 the remainder is A3. If yes then A3=6, which means when A1/A2 the remainder should be 6. --> Since, when A2/A3 , remainder is A4=0, A2should be also a multiple of 6. --> when A1 / A2( multiple of 6) remainder should be 6 as per q. If 48 / multiple of 6, remainder is 0 and not 6. I am confused.
Intern
Intern
avatar
B
Joined: 08 May 2019
Posts: 17
There is a sequence An for a positive integer n such that when An-2 is  [#permalink]

Show Tags

New post 19 Oct 2019, 21:24
MathRevolution wrote:
There is a sequence An for a positive integer n such that when An-2 is divided by An-1 the remainder is An. If A3=6, A4=0, which of the following can be the value of A1?
Attachment:
positive integer.jpg

A. 48
B. 50
C. 52
D. 56
E. 58


* A solution will be posted in two days.


48 can't be the answer.

Here A4=A2/A3
Hence A2 should be a multiple of 6.(6,12,18,24....so on).

Now A3=A1/A2

Here A3=6(reminder) and A2=6 or 12 or 18 and so on

Therefore reminder should be 6 when A1 is divided by 6k.

In none on the mentioned options above condition gets satisfied.

Kindly correct where I am wrong.
GMAT Club Bot
There is a sequence An for a positive integer n such that when An-2 is   [#permalink] 19 Oct 2019, 21:24
Display posts from previous: Sort by

There is a sequence An for a positive integer n such that when An-2 is

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne