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# Q12: A certain dealership has a number of cars to be sold by

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Manager
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Q12: A certain dealership has a number of cars to be sold by [#permalink]  17 Jun 2009, 17:36
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Question Stats:

100% (01:33) correct 0% (00:00) wrong based on 6 sessions
Q12:
A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?
(1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold.
(2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Intern
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Re: DS [#permalink]  18 Jun 2009, 04:27
I'd say E, as the n. of salespeople is not given.
VP
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Re: DS [#permalink]  18 Jun 2009, 07:31
girltalk wrote:
I'd say E, as the n. of salespeople is not given.

(1) Says T- 4n = 23 Insuff

(2) says T-6n = 5 Insuff

Together find n and arrive at T

Hence C
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Re: DS [#permalink]  18 Jun 2009, 07:46
C for me as well. Together, we can find the number of salesppl, and hence the number of cars to be sold
Manager
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Re: DS [#permalink]  21 Jun 2009, 22:17
C.

Let no. of car = X
Let no. salesman = Y

Stmt1 .
4Y = X -23
insuff.

Stmt 2.
6Y = X - 5
insuff.

Combining, we get x = 59 and Y = 9...Suff.
Senior Manager
Joined: 16 Jan 2009
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Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
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WE: Sales (Telecommunications)
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Re: DS [#permalink]  23 Jun 2009, 01:10
2 variables , 2 (different) equations.
IMO C
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Lahoosaher

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Re: DS [#permalink]  23 Jun 2009, 01:17
C

Two equations with two variables (unknowns).
Manager
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Re: DS [#permalink]  23 Jun 2009, 08:14
Quote:
C.

Let no. of car = X
Let no. salesman = Y

Stmt1 .
4Y = X -23
insuff.

Stmt 2.
6Y = X - 5
insuff.

Combining, we get x = 59 and Y = 9...Suff.

But if you try to deduce the number of cars sold, it varies...
Acc to stat 1, the # of cars sold are 36
Acc to stat 2,the # of cars sold are 54.

I guess the answer should be E or am I interpreting incorrectly.
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Manager
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Re: DS [#permalink]  24 Jun 2009, 13:30
vannu,

you are forgetting to add the unsold cars. For statement I, that will be 26 + 23 = 59. For Statement II, that will be 54 + 5 = 59.

Hope that helps.
Manager
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Re: DS [#permalink]  24 Jun 2009, 13:35
Quote:
vannu,

you are forgetting to add the unsold cars. For statement I, that will be 26 + 23 = 59. For Statement II, that will be 54 + 5 = 59.

Hope that helps.

But the question asks whether we can find the number of cars sold. I guess i might be misinterpreting the question...
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Senior Manager
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Re: DS [#permalink]  01 Jul 2009, 14:13
vannu wrote:
But the question asks whether we can find the number of cars sold. I guess i might be misinterpreting the question...

questions is asking - "how many cars are TO BE SOLD"

ie, how many are there at the dealership that are available for selling.
Manager
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Re: DS [#permalink]  01 Jul 2009, 14:41
Thanks, Rashmine84..I read the question wrong....
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Re: DS   [#permalink] 01 Jul 2009, 14:41
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# Q12: A certain dealership has a number of cars to be sold by

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