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

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.

(E) is our answer.

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

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.

Answer: E
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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.

Therefore, answer : C

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.

Never assume what is not given.
Even if some one 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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Thanks for the prompt reply.

(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

Answer E

Do such easy questions ever appear on the gmat or are these just for practise? Very curious about it actually !

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.

Answer: E (Neither)

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

Answer: E

Cheers,
Brent

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Answer: Option E

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Solution:

Question Stem Analysis:

We need to determine the number of men in a certain company's vanpool program.

Statement One Alone:

Since we don’t know the number of women in the vanpool program, knowing the ratio of men to women does not allow us to determine the number of men in the program. Statement one alone is not sufficient.

Statement Two Alone:

Knowing the number of vans in the vanpool program does not allow us to determine the number of men in the program. Statement two alone is not sufficient.

Statements One and Two Together:

Knowing both the ratio of men to women and the number of vans in the vanpool program still would not allow us to determine the number of men in the program. Both statements together are not sufficient.

Answer: E

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Solution:

Question Stem Analysis:

We need to determine the number of men in a certain company's vanpool program.

Statement One Alone:

Since we don’t know the number of women in the vanpool program, knowing the ratio of men to women does not allow us to determine the number of men in the program. Statement one alone is not sufficient.

Statement Two Alone:

Knowing the number of vans in the vanpool program does not allow us to determine the number of men in the program. Statement two alone is not sufficient.

Statements One and Two Together:

Knowing both the ratio of men to women and the number of vans in the vanpool program still would not allow us to determine the number of men in the program. Both statements together are not sufficient.

Answer: E
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