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

It is currently 22 Oct 2019, 10:29

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

If S is a sequence of consecutive multiples of 7, how many multiples o

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

Hide Tags

Find Similar Topics 
Retired Moderator
avatar
Joined: 29 Apr 2015
Posts: 822
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
GMAT ToolKit User
If S is a sequence of consecutive multiples of 7, how many multiples o  [#permalink]

Show Tags

New post 27 Jun 2015, 02:05
8
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:27) correct 39% (01:14) wrong based on 196 sessions

HideShow timer Statistics

If S is a sequence of consecutive multiples of 7, how many multiples of 14 are there in S?

(1) The greatest term of S is even.

(2) There are 21 terms in S.

_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58427
Re: If S is a sequence of consecutive multiples of 7, how many multiples o  [#permalink]

Show Tags

New post 27 Jun 2015, 03:27
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: If S is a sequence of consecutive multiples of 7, how many multiples o  [#permalink]

Show Tags

New post 27 Jun 2015, 04:04
1
reto wrote:
If S is a sequence of consecutive multiples of 7, how many multiples of 14 are there in S?

(1) The greatest term of S is even.

(2) There are 21 terms in S.


CONCEPT: If the number of terms in the sequence is Even then Multiple of 7 will be half of the terms
CONCEPT: If the number of terms in the sequence is Odd then Multiple of 7 will depend on how many terms are in sequence and first ters is even/odd


Statement 1: The greatest term of S is even

No. of terms in the sequence is unknown which may result in different answers so
NOT SUFFICIENT

Statement 2: There are 21 terms in S

It is unknown whether the series is starting with even term or odd hence no. of multiples of 14 may be 10 or 11 hence,
NOT SUFFICIENT

Combining the two statements
No. of terms = 21
Greatest term = Even
i.e. The series will have 11 even terms and 10 odd terms
All even Terms are multiple of 7 and 2 both i.e. Multiple of 14

SUFFICIENT

Answer: Option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Director
Director
User avatar
B
Joined: 04 Jun 2016
Posts: 556
GMAT 1: 750 Q49 V43
Re: If S is a sequence of consecutive multiples of 7, how many multiples o  [#permalink]

Show Tags

New post 16 Jul 2016, 03:02
2
reto wrote:
If S is a sequence of consecutive multiples of 7, how many multiples of 14 are there in S?

(1) The greatest term of S is even.

(2) There are 21 terms in S.



Every even multiple of 7 is also a multiple of 14 {14,28,56,70}
If we can know how many even numbers or even multiples are in the set then that number will be our answer.

(1) The greatest term of S is even.
Nice but insufficient. We know the biggest term/LAST TERM is even but we do not know how many other even terms are there in the set
S={7,14,21,28} Two even multiple of 14 present in the set; They are 14 and 28
S={7,14,21,28,35,42} Three even multiple of 14 present in the set; They are 14,28,42
INSUFFICIENT

(2) There are 21 terms in S
Nice but insufficient. These 21 terms will be consecutive multiples of 7 but If the first (and also Last) term is odd ; then odd multiple =11 even multiple =10
. If the first (and also last) term is even ; then odd multiple =10 even multiple =11
INSUFFICIENT

Merging both We know total multiples are 21 and that last term is even ==> Even Multiples are =11
All Even multiples are also multiple of 14
So multiple of 14 are 11 in number.

ANSWER IS C
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13409
Re: If S is a sequence of consecutive multiples of 7, how many multiples o  [#permalink]

Show Tags

New post 19 Sep 2018, 00:25
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.
_________________
GMAT Club Bot
Re: If S is a sequence of consecutive multiples of 7, how many multiples o   [#permalink] 19 Sep 2018, 00:25
Display posts from previous: Sort by

If S is a sequence of consecutive multiples of 7, how many multiples o

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





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