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# How many men are in a certain company's vanpool program?

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Math Expert
Joined: 02 Sep 2009
Posts: 60460
How many men are in a certain company's vanpool program?  [#permalink]

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24 Jun 2018, 20:59
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Difficulty:

5% (low)

Question Stats:

90% (00:33) correct 10% (00:39) wrong based on 816 sessions

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How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

NEW question from GMAT® Official Guide 2019

(DS02541)

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Joined: 07 Dec 2017
Posts: 1155
Re: How many men are in a certain company's vanpool program?  [#permalink]

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24 Jun 2018, 22:15
1
Bunuel wrote:
How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

NEW question from GMAT® Official Guide 2019

(DS02541)

We'll translate our questions into equations so we understand what we need to do.
This is a Precise approach.

(1) men : women = 3:2 --> m = 1.5w As we cannot solve for m, this is not enough.
Insufficient.

(2) m + w = 6v. Clearly, not enough
Insufficient.

Combined:
So m = 1.5w and m+w = 6v. Without knowing v or w, this is unsolvable.
Insufficient.

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Posts: 143
Location: India
Schools: ISB '20, GMBA '20
Re: How many men are in a certain company's vanpool program?  [#permalink]

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24 Jun 2018, 22:16
1
Bunuel wrote:
How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

NEW question from GMAT® Official Guide 2019

(DS02541)

1) Not suff, As number of men and women can be any multiple of 3x & 2x respectively, no single solution
2) Not suff, As we do not know the capacity of each van and also the ratio of men, women

1) &2) Not suff , same even if we know ratio but capacity of each or all 6 vans is not given hence we cannot find total number of people for obtaining individual number

E
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3203
Re: How many men are in a certain company's vanpool program?  [#permalink]

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25 Jun 2018, 04:20

Solution

To find:
• The number of men in a certain company’s vanpool program

Analysing Statement 1
• As per the information given in statement 1, the ratio of men to women in the program is 3 to 2
o From this statement, if we want to find the number of men, we need to know the exact number of women present in the program
o As the number of women is not mentioned, we can’t determine the number of men

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
• As per the information given in statement 2, the men and women in the program fill 6 vans
o From this, we cannot find out the exact number of men, as no relevant information is provided

Hence, statement 2 is not sufficient to answer

Combining Both Statements
If we combine both the statements, we can say:
• The ratio of men and women is 3:2
• Together they can fill 6 vans
Still we don’t have sufficient information about the individual number of men and women

Hence, the correct answer is option E.

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Posts: 45
Re: How many men are in a certain company's vanpool program?  [#permalink]

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26 Jun 2018, 22:45
Why is it wrong to say that a van consists of 7 seats? Therefore 6 vans contains 42 seats, and thus the number of men can be determine. Because the statement 2 states that all men and women fill the van.

Manager
Joined: 14 Oct 2017
Posts: 233
GMAT 1: 710 Q44 V41
Re: How many men are in a certain company's vanpool program?  [#permalink]

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27 Jun 2018, 04:47
Valhalla wrote:
Why is it wrong to say that a van consists of 7 seats? Therefore 6 vans contains 42 seats, and thus the number of men can be determine. Because the statement 2 states that all men and women fill the van.

I think depending on where one lives the term "van" can represent different cars. Hence, we can't be sure how many seats a van has and not determine the number of men.
Math Expert
Joined: 02 Aug 2009
Posts: 8340
Re: How many men are in a certain company's vanpool program?  [#permalink]

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27 Jun 2018, 04:54
Valhalla wrote:
Why is it wrong to say that a van consists of 7 seats? Therefore 6 vans contains 42 seats, and thus the number of men can be determine. Because the statement 2 states that all men and women fill the van.

Never assume what is not given.
Even if some assumes a van means 7 person, it is nowhere mentioned that they are full.

In GMAT or for this particular case in maths, we cannot assume numbers per vehicle
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Re: How many men are in a certain company's vanpool program?  [#permalink]

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27 Jun 2018, 17:22
Manager
Joined: 07 Feb 2017
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Re: How many men are in a certain company's vanpool program?  [#permalink]

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27 Jun 2018, 18:02
(1) 3 men, 2 women
6 men, 4 women
Insufficient

(2) Not clear? If divisible by 6 or, Do the vans have the same number of seats?
Insufficient

Intern
Joined: 04 Sep 2018
Posts: 27
GPA: 3.33
Re: How many men are in a certain company's vanpool program?  [#permalink]

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01 Jan 2019, 11:52
Do such easy questions ever appear on the gmat or are these just for practise? Very curious about it actually !
Intern
Joined: 01 Mar 2019
Posts: 23
Location: United States
GMAT 1: 740 Q49 V42
Re: How many men are in a certain company's vanpool program?  [#permalink]

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15 Mar 2019, 08:49
Stem:

Men = ?

Statement 1:

$$\frac{Men}{Women} = \frac{3}{2}$$

We aren't given the total number of people, so we can't covert the ratio to the actual number of men. INSUFFICIENT.

Statement 2:

No information is given about number of people who can fit in each van. INSUFFICIENT.

Combined (1 & 2):

Since statement 2 doesn't give the number of people who can fit in each van, we can't combine this with the ratio in statement 1 to get the true number of men. INSUFFICIENT.

GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4214
Re: How many men are in a certain company's vanpool program?  [#permalink]

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08 May 2019, 06:25
Top Contributor
Bunuel wrote:
How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

NEW question from GMAT® Official Guide 2019

(DS02541)

Target question: How many men are in a certain company's vanpool program?

Statement 1: The ratio of men to women in the program is 3 to 2.
There are several scenarios that satisfy statement 1. Here are two:
Case a: There are 3 men and 2 women. In this case, the answer to the target question is there are 3 men
Case b: There are 6 men and 4 women. In this case, the answer to the target question is there are 6 men

Statement 2: The men and women in the program fill 6 vans.
We don't know the RATIO of men to women, AND we don't know how many people fit into each van
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: There are 18 men & 12 women (for a total of 30 people), and each van holds 5 people . In this case, the answer to the target question is there are 18 men
Case b: There are 36 men & 24 women (for a total of 60 people), and each van holds 10 people . In this case, the answer to the target question is there are 36 men
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent

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Re: How many men are in a certain company's vanpool program?   [#permalink] 08 May 2019, 06:25
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