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A car dealership carries only sedans and SUVs, and on Tues

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A car dealership carries only sedans and SUVs, and on Tues

by varun289 » Tue Apr 02, 2013 5:53 am
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.





b>
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by hemant_rajput » Tue Apr 02, 2013 8:31 am
varun289 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.





b>

IMO E

1/6 of sedans were sold on monday; say total no. of Sedan on Tuesday morning is 6X. total no. of sedan sold on Tuesday is X.

1 -

Sedan sold on tuesday is X, hence SUV sold on that day is 9/8 X

X is unknown

Not sufficient

2 -

again given information is not suffice to find the X

combining both

still can't find value of X or relationship in terms of absolute value between no. of sedan or SUV sold on tuesday.

hence Option E
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by GMATGuruNY » Tue Apr 02, 2013 9:04 am
varun289 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.
Statement 1: By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.
Plug in the MINIMUM value for the number of SUVs sold.
Let SUVs sold = 9.
In this case, sedans sold = (8/9)8 = 8.
Since 1/6 of the TOTAL number of sedans were sold, we get:
8 = (1/6)(total sedans)
Total sedans = 48.
Here, the MINIMUM number of vehicles at the beginning of Tuesday = (SUVs sold) + (total sedans) = 9+48 = 57, which is LESS than 100.

But the total number of SUVs at the beginning of Tuesday could be ANY VALUE.
If at the start of Tuesday there were 1000 SUVs -- of which 9 were sold -- then the total number of vehicles at the beginning of Tuesday = (total SUVs) + (total sedans) = 1000 + 48 = 1048, which is GREATER than 100.
INSUFFICIENT.

Statement 2: The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.
Since 85/100 = 17/20, we get:
(sedans sold on Tuesday) = (17/20)(sedans sold on Wednesday).
Plug in the MINIMUM value for the number of sedans sold on Wednesday.
Let sedans sold on Wednesday = 20.
In this case, sedans sold on Tuesday = (17/20)20 = 17.
Since 1/6 of the TOTAL number of sedans were sold, we get:
17 = (1/6)(total sedans)
Total sedans = 102.
Thus, the total number of vehicles at the beginning of Tuesday was greater than 100.
SUFFICIENT.

The correct answer is B.
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by hemant_rajput » Tue Apr 02, 2013 9:32 am
oops i missed that trick. Thanks GMATGuruNY for correcting me.
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by Brian@VeritasPrep » Tue Apr 02, 2013 10:15 am
Just to add to Mitch's spot on analysis, since this is one of mine. Currently less than 4% of users in the Veritas Prep Question Bank (https://www.veritasprep.com/gmat-question-bank/) are getting this one right, with about 70% picking E. The main reasons, at least in my mind are:

-Misdirection. The question looks like a Matrix Box problem in which you typically need to fill in several cells (SUV/sold, sedan/unsold, etc.) to get to a point where you can sum everything to a total. When statement 2 doesn't help you directly fill in a cell in that box, you write it off as unhelpful even though it actually does give you pretty good information (85% means that it's a multiple of 17, giving you 17/20).

-Information hidden in the question stem. That 1/6 proportion in the first sentence is easy to overlook as you "go to work" on statement 1. As a big DS strategy tip, make sure that you unpack all the given information in the question stem - it's there for a reason.

-Precise question stem. This reads like a "What is the Value?" question but the question actually just asks "was it more than 100"? It's easy to misread this and think that because you can't fill in the whole picture you can't solve, but in classic GMAT style the one thing you can solve for is the exact question they're asking.

-Unleveraged assets. People don't spend much time on statement 2, and then when it doesn't really connect to statement 1 they breeze through it. In Data Sufficiency, when a statement quickly seems like a throwaway it's often a clue that you have to spend a few seconds figuring out what it really says. People hate "Wednesday" on this one - it doesn't seem relevant at all. That's part of the game - when questions get harder, the statements require a little more analysis to see why they're relevant. Make sure that when you get to harder questions you question those seemingly irrelevant statements, as there's usually a reason it was written the way it was.
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Veritas Prep

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