Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Nov 2015, 12:48

### 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 June
Open Detailed Calendar

# A and B are two multiples of 14, and Q is the set of consecutive integ

Author Message
TAGS:
Verbal Forum Moderator
Joined: 29 Apr 2015
Posts: 903
Location: Switzerland
Concentration: Economics, Finance
WE: Asset Management (Investment Banking)
Followers: 30

Kudos [?]: 665 [0], given: 302

A and B are two multiples of 14, and Q is the set of consecutive integ [#permalink]  25 Jun 2015, 10:54
1
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

49% (02:31) correct 51% (01:37) wrong based on 45 sessions
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 14, how many multiples of 7 are there in Q?

A. 20
B. 19
C. 18
D. 17
E. 16
[Reveal] Spoiler: OA

_________________

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.

Senior Manager
Joined: 27 Dec 2013
Posts: 315
Followers: 0

Kudos [?]: 12 [0], given: 113

Re: A and B are two multiples of 14, and Q is the set of consecutive integ [#permalink]  26 Jun 2015, 05:03
I am getting the answer 17.

Let A=14 and B= 154.

Q= {15,16, 17...................153}

The nine multiples of Q are {28......140}.

The number of multiples of 7 between {28......................140} N=17. option d.

reto wrote:
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 14, how many multiples of 7 are there in Q?

A. 20
B. 19
C. 18
D. 17
E. 16

_________________

Kudos to you, for helping me with some KUDOS.

Intern
Joined: 30 Sep 2013
Posts: 15
Followers: 0

Kudos [?]: 5 [0], given: 3

A and B are two multiples of 14, and Q is the set of consecutive integ [#permalink]  01 Sep 2015, 09:31
1
This post was
BOOKMARKED
Lets Q's first number be 14
As per question, Q contains 9 multiples of 14 , so let Q's last number be 126. $$(14 * 9)$$
We have,
$$a_n$$ = $$a + (n-1)d$$

Then

126 = 14 + (n-1)7

Solving for n , we get n = 17
Intern
Joined: 28 Nov 2012
Posts: 15
Followers: 0

Kudos [?]: 1 [0], given: 6

Re: A and B are two multiples of 14, and Q is the set of consecutive integ [#permalink]  22 Nov 2015, 06:26
Hey

As per your approach you are missing 2 numbers here i.e. 21 and 147, both will be in the set and divisible by 7, hence the answer should be 19.

Thank you

shriramvelamuri wrote:
I am getting the answer 17.

Let A=14 and B= 154.

Q= {15,16, 17...................153}

The nine multiples of Q are {28......140}.

The number of multiples of 7 between {28......................140} N=17. option d.

reto wrote:
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 14, how many multiples of 7 are there in Q?

A. 20
B. 19
C. 18
D. 17
E. 16
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 1379
Followers: 30

Kudos [?]: 595 [0], given: 22

Re: A and B are two multiples of 14, and Q is the set of consecutive integ [#permalink]  22 Nov 2015, 07:20
rsaahil90 wrote:
Hey

As per your approach you are missing 2 numbers here i.e. 21 and 147, both will be in the set and divisible by 7, hence the answer should be 19.

Thank you

shriramvelamuri wrote:
I am getting the answer 17.

Let A=14 and B= 154.

Q= {15,16, 17...................153}

The nine multiples of Q are {28......140}.

The number of multiples of 7 between {28......................140} N=17. option d.

reto wrote:
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 14, how many multiples of 7 are there in Q?

A. 20
B. 19
C. 18
D. 17
E. 16

Hi,

the Q has a straight logic..

7 is an odd number so its consecutives multiples will be even, odd, even,odd and so on..
and even multiple of 7 will mean multiple of 14..

now we have two ends of the set which are multiples of 14 or in other words even multiple of 7...
and between each set of consecutive even multiple of 7, there will be 1 odd multiple of 7..
so even multiple=9
odd multiple=9-1=8..
total 17 ans
D
Re: A and B are two multiples of 14, and Q is the set of consecutive integ   [#permalink] 22 Nov 2015, 07:20
Similar topics Replies Last post
Similar
Topics:
12 If M is the set of all consecutive multiples of 9 between 100 and 500, 11 17 Sep 2015, 00:27
12 The integer 6 is the product of two consecutive integers (6 7 22 Jan 2014, 04:23
1 If the sum of the last 3 integers in a set of 6 consecutive 3 20 Sep 2013, 15:25
1 In an increasing set of 7 consecutive integers, the sum of t 6 05 Nov 2012, 11:02
5 Two integers will be randomly selected from sets A and B 6 24 Oct 2012, 21:05
Display posts from previous: Sort by