It is currently 18 Jan 2018, 20:00

### 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 car dealership carries only sedans and SUVs

Author Message
TAGS:

### Hide Tags

Manager
Status: Time to apply!
Joined: 24 Aug 2011
Posts: 198

Kudos [?]: 152 [0], given: 166

Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 600 Q48 V25
GMAT 2: 660 Q50 V29
GMAT 3: 690 Q49 V34
GPA: 3.2
WE: Engineering (Computer Software)
A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

06 Sep 2013, 07:19
53
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

19% (02:13) correct 81% (02:10) wrong based on 1154 sessions

### HideShow timer Statistics

A car dealership carries only sedans and SUVs, and on Tuesday it sold 1/6 of the sedans that it had in stock at the beginning of the day. If no new inventory arrived at any point on Tuesday, and the only change in inventory was that some vehicles were sold, did the dealership have more than 100 vehicles in inventory at the beginning of the day Tuesday?

(1) By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.

(2) The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.
[Reveal] Spoiler: OA

_________________

Didn't give up !!! Still Trying!!

Kudos [?]: 152 [0], given: 166

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 624

Kudos [?]: 1436 [8], given: 136

Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

06 Sep 2013, 11:07
8
KUDOS
11
This post was
BOOKMARKED
Practicegmat wrote:
A car dealership carries only sedans and SUVs, and on Tuesday it sold 1/6 of the sedans that it had in stock at the beginning of the day. If no new inventory arrived at any point on Tuesday, and the only change in inventory was that some vehicles were sold, did the dealership have more than 100 vehicles in inventory at the beginning of the day Tuesday?

(1) By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.

(2) The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.

From F.S 1, as the # of cars sold can only assume integral values, we know that the # of SUV's sold at the end of the day were of the form 9k(k is a a positive integer).
Thus, the # of sedans sold at the end of the day = $$\frac{8}{9}*9k$$ = 8k = This represents $$\frac{1}{6^{th}}$$of the total sedans present at the start of the day. Thus, the # of sedans at the start of the day = 8k*6 = 48k. The no of SUV's sold can be minimum 9(for k=1) and the # of sedans present at the start of the day can be minimum(48). Still, no information about the actual # of SUV's present. Insufficient.

From F.S 2, Let the # of sedans sold on Wednesday be S. We know that # of Sedans sold on Tuesday = 85% of S = $$\frac{17}{20}*S$$ = The minimum value can be when S=20, i.e. the # of sedans sold on Tuesday = 17. Also, as this is $$\frac{1}{6^{th}}$$ of the total stock of sedans at the start of the day, the total no of sedans at the start = 17*6 = 102>100(Irrespective of the no of SUV's sold). Sufficient.

B.
_________________

Kudos [?]: 1436 [8], given: 136

Director
Joined: 17 Dec 2012
Posts: 624

Kudos [?]: 557 [7], given: 16

Location: India
Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

06 Sep 2013, 18:08
7
KUDOS
Expert's post
1
This post was
BOOKMARKED
Practicegmat wrote:
A car dealership carries only sedans and SUVs, and on Tuesday it sold 1/6 of the sedans that it had in stock at the beginning of the day. If no new inventory arrived at any point on Tuesday, and the only change in inventory was that some vehicles were sold, did the dealership have more than 100 vehicles in inventory at the beginning of the day Tuesday?

(1) By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.

(2) The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.

To find , Is sedans(inv on Tue) + suvs(inv on Tue) >100

Given : sedans(sold on Tue) = sedans(inv on Tue) /6

Statement 1:

sedans(sold on Tue)=suvs(sold on Tue) * 8/9

We cannot find either sedans(inv on Tue) or suvs(inv on Tue) based on the statement and what is given. Not sufficient

Statement 2:

sedans(sold on wed) * 85/100 = sedans(sold on Tue)

From the above we can say that the minimum possible number of sedans (sold on Wed) was 20 because that is the minimum value when sedans(sold on wed) * 85/100 will be an integer and consequently the minimum sedans(sold on Tue) = 17. Therefore sedans(inv on Tue) = sedans(sold on Tue) *6= 102. Hence sufficient to answer the question.
_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Standardized Approaches

Kudos [?]: 557 [7], given: 16

Manager
Status: Persevering
Joined: 15 May 2013
Posts: 217

Kudos [?]: 102 [3], given: 34

Location: India
GMAT Date: 08-02-2013
GPA: 3.7
WE: Consulting (Consulting)
Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

07 Sep 2013, 05:14
3
KUDOS
My way is a bit different

A is not sufficient
B As we know that only the integer number of sedans can be sold on any day.

Number of sedans sold on wednesday =85% of that sold on tuesday=85%*1/6(sold on tuesday)*m(no of sedans on tuesday)=k(some integer)

=> m=120/17*k => k must be a multiple of 17 => let k be 17 then m=120
therefore even in this bare minimum case we have 120 sedans on tuesday which implies that total number of cars will be more than 100.
_________________

--It's one thing to get defeated, but another to accept it.

Kudos [?]: 102 [3], given: 34

Non-Human User
Joined: 09 Sep 2013
Posts: 14241

Kudos [?]: 291 [0], given: 0

Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

25 Oct 2014, 09:26
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.
_________________

Kudos [?]: 291 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 14241

Kudos [?]: 291 [0], given: 0

Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

02 Nov 2015, 03:48
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.
_________________

Kudos [?]: 291 [0], given: 0

Current Student
Joined: 19 Jan 2016
Posts: 57

Kudos [?]: 83 [0], given: 176

Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

21 Aug 2016, 06:26
Practicegmat wrote:
A car dealership carries only sedans and SUVs, and on Tuesday it sold 1/6 of the sedans that it had in stock at the beginning of the day. If no new inventory arrived at any point on Tuesday, and the only change in inventory was that some vehicles were sold, did the dealership have more than 100 vehicles in inventory at the beginning of the day Tuesday?

(1) By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.

(2) The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.

What a quant problem!
_________________

---------------------------------------------------------
Please kudos me if this helps. Thank you.

Kudos [?]: 83 [0], given: 176

Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1261

Kudos [?]: 1467 [1], given: 447

Location: Malaysia
Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

09 Mar 2017, 18:06
1
KUDOS
Practicegmat wrote:
A car dealership carries only sedans and SUVs, and on Tuesday it sold 1/6 of the sedans that it had in stock at the beginning of the day. If no new inventory arrived at any point on Tuesday, and the only change in inventory was that some vehicles were sold, did the dealership have more than 100 vehicles in inventory at the beginning of the day Tuesday?

(1) By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.

(2) The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.

Official solution from Veritas Prep.

The question doesn't put any restriction on the number of SUVs not sold, so you can make this number as big as you want to prove the answer "yes".

Statement 2, however, is sufficient. While it may not look so at first, it combines with the given information to guarantee that the dealership had a minimum of 102 sedans. Knowing that:

-The number of sedans sold was 17/20 (85%) of the number sold on another day tells us that the number of sedans sold must be a multiple of 17.

-The number of sedans in stock is equal to 6(the number sold) tells us that the number of sedans in stock must be 17 x a multiple of 6. The lowest such number is 102, guaranteeing that at least 102 vehicles were in stock at the beginning of the day.

Strategically, this problem is a good opportunity to "Leverage Assets" and ask "Why Are You Here?". The fact that statement 2 talks about Wednesday when everything else in the problem talks only about Tuesday might seem like a total throwaway, but remember: the GMAT rarely, if ever, completely throws away a DS statement. If a statement seems irrelevant upon first glance, it's a good opportunity for you to ask why it's there:

-Could it be a clue that helps you better understand the other statement? -Could it be a trap, a piece of information that you thought you might need but you actually don't? -Could it be, as it is in this case, a cleverly-worded piece of information that you can make useful by Leveraging Assets - manipulating algebra, applying a number property or divisibility rule, etc.?
Attachments

Untitled.jpg [ 64.35 KiB | Viewed 4815 times ]

_________________

"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."

Kudos [?]: 1467 [1], given: 447

Intern
Joined: 08 Feb 2017
Posts: 7

Kudos [?]: 3 [1], given: 2

Location: United States
GPA: 3.81
Re: A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

18 Apr 2017, 20:58
1
KUDOS
Question says If no new inventory arrived at any point on Tuesday -- couldn't new inventory have arrived on Wednesday making B insufficient?

Kudos [?]: 3 [1], given: 2

Director
Joined: 17 Dec 2012
Posts: 624

Kudos [?]: 557 [0], given: 16

Location: India
A car dealership carries only sedans and SUVs [#permalink]

### Show Tags

09 Aug 2017, 20:57
Given:x/6 sedans sold by the end of Tuesday where x is the inventory of sedans at the beginning of the day.

Statement 1: Suv sold on Tuesday = 9/8*x/6 = 3x/16. Total vehicles sold = x/6+3x/16= 17x/48. We cannot answer from statement (1) as x can be 48 or a multiple of 48 and no information about suvs

Statement 2: Sedans sold on Wednesday is (100/85)*x/6. x has to be at least 102, otherwise the number of sedans sold on Wednesday will not be an integer. So B is sufficient.
_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Standardized Approaches

Kudos [?]: 557 [0], given: 16

A car dealership carries only sedans and SUVs   [#permalink] 09 Aug 2017, 20:57
Display posts from previous: Sort by