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The percentage of local businesses with more than ten employees is hig

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The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 05 Mar 2012, 18:06
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The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state. However, the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state. If the statements above are true, then which of the following must also be true?


A. The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state.

B. The state has more local business with more than ten employees than any other state in the country

C. The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city.

D. Some local businesses in Grandview City have between 10 and 15 employees

E. The average number of employees per business is higher in Lakeshore city than in Grandview City.[/i]


/
/
/
My issue is that the question says "which of the following must also be true? ". I can see that the answer can be/is likely to be true, but must? Trying to get my head around how I should best come to this answer. Any help appreciated. Best, Nick
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 05 Mar 2012, 20:07
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The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state. However, the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state. If the statements above are true, then which of the following must also be true?

a.The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state.

b.The state has more local business with more than ten employees than any other state in the country

c.The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city.

d.Some local businesses in Grandview City have between 10 and 15 employees

e.The average number of employees per business is higher in Lakeshore city than in Grandview City.

From A & D
A can be true or can't be true
So D must be true ---to attempt the question :lol:

Pls correct me if m wrong
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 06 Mar 2012, 07:45
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+ 1 D.
though some mathematics also involved.
If the percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state, and the percentage of local businesses with 15 employees or more is higher in Lakeshore City , it can clearly be inferred that Some local businesses in Grandview City have between 10 and 15 employees....
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 06 Mar 2012, 10:06
>> it can clearly be inferred that Some local businesses in Grandview City have between 10 and 15 employees....

How?

"...with more than ten employees is higher in Grandview City". Could this not mean that the smallest business has, say, 27 employees?

and "the percentage of local businesses with 15 employees or more is higher in Lakeshore City" could this be one, and Grandview City have none?

Still can't see how D must be true.
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 06 Mar 2012, 19:21
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I only consider the 2 choices C & D. Choice C talks about the number while the argument talks about the percentage, so eliminate. On the other hand, choice D is more precise.
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New post 06 Mar 2012, 20:00
So....are you guys saying, in not so many words, that while its possible for D not to be true as the question asks you are choosing it as the least wrong answer?
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 11 Mar 2012, 19:30
Ans: D

"The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state..."

This means that at least some local businesses in Grandview city have at LEAST ten employees. This means that Answer D (which says that some local businesses in Grandview City have between 10-15 employees) is clearly true.
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New post 11 Mar 2012, 19:53
>>"The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state..."
>>This means that at least some local businesses in Grandview city have at LEAST ten employees

Agreed.

>>This means that Answer D (which says that some local businesses in Grandview City have between 10-15 employees) is clearly true

How so?

"The percentage of local businesses with more than ten employees is higher in Grandview City..." could mean that the smallest business has 27 employees, no? And if this were true then D would not meet the criteria of 'must' be true.
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 11 Mar 2012, 20:20
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nickb99 wrote:
>>"The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state..."
>>This means that at least some local businesses in Grandview city have at LEAST ten employees

Agreed.

>>This means that Answer D (which says that some local businesses in Grandview City have between 10-15 employees) is clearly true

How so?

"The percentage of local businesses with more than ten employees is higher in Grandview City..." could mean that the smallest business has 27 employees, no? And if this were true then D would not meet the criteria of 'must' be true.


That cannot be true because then the statement "the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state" would not be possible.

Remember that:
Grandview City = highest % with 10+ employees

Lakeshore City = highest % with 15+ employees

If the smallest business in Grandview has 27 employees as you said, then there's no way that Lakeshore has the highest % with 15+ employees.
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 12 Mar 2012, 03:09
a.The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state. Can't be said.
b.The state has more local business with more than ten employees than any other state in the country. There is no discussion of comparison between states in the country.
c.The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city. May be, but can't be sure from the argument.
d.Some local businesses in Grandview City have between 10 and 15 employees. Correct
e.The average number of employees per business is higher in Lakeshore city than in Grandview City. There is no discussion of average number of employees.
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 22 Apr 2013, 10:27
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nickb99 wrote:
The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state. However, the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state. If the statements above are true, then which of the following must also be true?
(A) The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state.
(B) The state has more local business with more than ten employees than any other state in the country
(C) The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city.
(D) Some local businesses in Grandview City have between 10 and 15 employees
(E) The average number of employees per business is higher in Lakeshore city than in Grandview City.

fameatop wrote:
Hi Mike,
I am not able to understand how come option A is incorrect in this question. I am also not able to fully grasp the concepts of FACT TEST & how to perform the FACT TEST. Can you kindly throw some light on both the issues.

One more question, What is the difference between Inference questions & Must be True questions.
Waiting eagerly for your valuable insights. Regards, Fame

This one is a particularly tricky CR question, because it so numerical. Employing the "fact test" here requires some carefully selected numerical data.

Here's a very simplified scenario for analyzing (A).
In Grandview City, there are 100 companies, each with 12 employees.
In Lakeshore City, there are 100 companies ---- 20 companies have 8 employees each, and 80 companies have 16 employees each.
In Pinnacle City, there are 100 companies ----- 40 companies have 8 employees each, and 60 companies have 50 employees each.

Of these three cities --- the percentages of companies with more than 10 employees are
Grandview = 100%
Lakeshore = 80%
Pinnacle = 60%
So Grandview is the highest in this category.

Of these three cities --- the percentages of companies with 15 or more employees are
Grandview = 0%
Lakeshore = 80%
Pinnacle = 60%
So Lakeshore is the highest in this category.

Of these three cities --- the percentages of companies with 18 or more employees are
Grandview = 0%
Lakeshore = 0%
Pinnacle = 60%
So Pinnacle is the highest in this category.

This arrangement shows why (A) doesn't have to be true.

For all intents and purposes, "find the best supported conclusion", "what inference can you draw" and "which must be true" are all the same category of question.

Does all this make sense?
Mike :-)
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 31 May 2015, 05:32
I understand why D is right. But can someone help me understand why C is wrong?

I understand it's talking about numbers and not percentages. But given that we have comparable components, is it not right to evaluate them against numbers as well?

" the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state."

So, LS city has the highest percentage of businesses having 15 or more employees, in the state. Let's say x is the total number of businesses with 15 or more employees. Let LS have 15% share of x and GV have 10% share of x (some percentage lesser than 15, for if not, GV should've figured out to be having the highest percentage share). Then, we clearly see that 10% of x is smaller than 15% of x.

Doesn't that lead to "The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city."?
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New post 31 May 2015, 06:56
D
As it should be between 10-15 to make the argument true
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 21 Sep 2016, 05:59
we are talking with percentages, so any answer choice that contains values/numbers is not good.

b.The state has more local business with more than ten employees than any other state in the country
bad, as it compares one state with another.

a.The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state.
we don't know.

c.The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city.
we don't know, we speak about percentages.

d.Some local businesses in Grandview City have between 10 and 15 employees
yes!!!

e.The average number of employees per business is higher in Lakeshore city than in Grandview City.
we don't know!

D
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Re: The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 09 Sep 2018, 08:58
nickb99 wrote:
First post, please go easy on me:)
Came across this test question doing my GMAT prep. See the bottom of this post for my issue with the answer.

The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state. However, the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state. If the statements above are true, then which of the following must also be true?

a.The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state.

b.The state has more local business with more than ten employees than any other state in the country

c.The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city.

d.Some local businesses in Grandview City have between 10 and 15 employees

e.The average number of employees per business is higher in Lakeshore city than in Grandview City.

/
/
/
My issue is that the question says "which of the following must also be true? ". I can see that the answer can be/is likely to be true, but must? Trying to get my head around how I should best come to this answer. Any help appreciated. Best, Nick


How I thought about Answer Choice D:

We know that Grandview City has Highest % of 10+ employees

Lakeshore City has Highest % of 15+ employees

When reading answer choice D, maybe you thought "Well what if all of Grandview City local businesses had 16+ employees. Or 17+ employees?"
Well, if that was the case, then Grandview would have highest % of 15+ employees and not Lakeshore.

Therefore, Grandview City MUST have at least one local business with between 10-15 employees.

Hope this helps someone out there.
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New post 15 Sep 2018, 02:03
I am not able to grasp why C is not the correct answer here.
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New post 15 Sep 2018, 02:16
shreytrivedi wrote:
I am not able to grasp why C is not the correct answer here.


C is incorrect because we are given percentage shares in the original statement.

Option C however is talking about absolute numbers.
Thats the trap ;)
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The percentage of local businesses with more than ten employees is hig  [#permalink]

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New post 15 Sep 2018, 09:47
nickb99 wrote:
The percentage of local businesses with more than ten employees is higher in Grandview City than in any another city in the state. However, the percentage of local businesses with 15 employees or more is higher in Lakeshore City, which is in the same state, than in any other city in the state. If the statements above are true, then which of the following must also be true?


A. The percentage of local business with more than 18 employees is higher in Lakeshore city than in any other city in the state. Cannot be asserted

B. The state has more local business with more than ten employees than any other state in the country The question stem only talks about a particular state and there is no comparison with other states in the country.

C. The number of local business with 15 or more employees is greater in Lakeshore city than in Grandview city. This statement incorrectly talks about the number, whereas the question stem talks about percentage.

D. Some local businesses in Grandview City have between 10 and 15 employees This is the correct answer choice.

E. The average number of employees per business is higher in Lakeshore city than in Grandview City. Cannot be asserted



The highlighted portions above explains why option D is correct answer choice.

Consider giving a kudos, if you think my explanation is on point.
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