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# In a recent survey, twenty families reported their incomes for 1995.

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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
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goodyear2013 wrote:
In a recent survey, twenty families reported their incomes for 1995. Was the range of reported 1995 incomes for these families greater than \$60,000?

(1) Thirteen of the reported incomes were between \$20,000 and \$35,000.
(2) Seven of the reported incomes were between \$80,000 and \$95,000.

This question and statements, quite ambiguous for me.

"Thirteen of the reported incomes were between \$20,000 and \$35,000." --> I thought that \$20.000 and \$35.000 MUST be among thirteen.
But, as we can see in the answer, \$20.000 and \$35.000 MAY or MAYBE among thirteen.

Could you please explain Bunuel ? What can we learn from this case?
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
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septwibowo wrote:
goodyear2013 wrote:
In a recent survey, twenty families reported their incomes for 1995. Was the range of reported 1995 incomes for these families greater than \$60,000?

(1) Thirteen of the reported incomes were between \$20,000 and \$35,000.
(2) Seven of the reported incomes were between \$80,000 and \$95,000.

This question and statements, quite ambiguous for me.

"Thirteen of the reported incomes were between \$20,000 and \$35,000." --> I thought that \$20.000 and \$35.000 MUST be among thirteen.
But, as we can see in the answer, \$20.000 and \$35.000 MAY or MAYBE among thirteen.

Could you please explain Bunuel ? What can we learn from this case?

Thirteen of the reported incomes were between \$20,000 and \$35,000 does not necessarily mean that any of the incomes must be \$20,000 or \$35,000. It means that \$20,000 < (all 13 incomes) < \$35,000.

The same logic applies to the second statement.
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
1
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Bunuel wrote:
septwibowo wrote:
goodyear2013 wrote:
In a recent survey, twenty families reported their incomes for 1995. Was the range of reported 1995 incomes for these families greater than \$60,000?

(1) Thirteen of the reported incomes were between \$20,000 and \$35,000.
(2) Seven of the reported incomes were between \$80,000 and \$95,000.

This question and statements, quite ambiguous for me.

"Thirteen of the reported incomes were between \$20,000 and \$35,000." --> I thought that \$20.000 and \$35.000 MUST be among thirteen.
But, as we can see in the answer, \$20.000 and \$35.000 MAY or MAYBE among thirteen.

Could you please explain Bunuel ? What can we learn from this case?

Thirteen of the reported incomes were between \$20,000 and \$35,000 does not necessarily mean that any of the incomes must be \$20,000 or \$35,000. It means that \$20,000 < (all 13 incomes) < \$35,000.

The same logic applies to the second statement.

This is one where the English and Math don't match. In English, when one says "Thirteen of the reported incomes were between \$20,000 and \$35,000" one implies that at least one salary is 20,000 (or just above it) and one salary is 35K or just below it. In English, this is how one specifies a range, by saying "all x were between y and z."

It's surprising that this was an official GMAT question. Perhaps this ambiguity is why it was retired.
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
alainca wrote:
Bunuel wrote:
septwibowo wrote:
This question and statements, quite ambiguous for me.

"Thirteen of the reported incomes were between \$20,000 and \$35,000." --> I thought that \$20.000 and \$35.000 MUST be among thirteen.
But, as we can see in the answer, \$20.000 and \$35.000 MAY or MAYBE among thirteen.

Could you please explain Bunuel ? What can we learn from this case?

Thirteen of the reported incomes were between \$20,000 and \$35,000 does not necessarily mean that any of the incomes must be \$20,000 or \$35,000. It means that \$20,000 < (all 13 incomes) < \$35,000.

The same logic applies to the second statement.

This is one where the English and Math don't match. In English, when one says "Thirteen of the reported incomes were between \$20,000 and \$35,000" one implies that at least one salary is 20,000 (or just above it) and one salary is 35K or just below it.In English, this is how one specifies a range, by saying "all x were between y and z."

It's surprising that this was an official GMAT question. Perhaps this ambiguity is why it was retired.

I beg to differ on that statement.
Even in general english usage when we say that something is between X & Y, it does not necessarily mean that "something" is X or Y.
For eg. All Top Indian B-schools are ranked between 25 to 35 in global FT Rankings.
Does this mean, one of the Indian B-Schools is ranked 25 or 35 ??
I hope you would agree, Not necessarily.
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
mihir0710 wrote:

I beg to differ on that statement.
Even in general english usage when we say that something is between X & Y, it does not necessarily mean that "something" is X or Y.
For eg. All Top Indian B-schools are ranked between 25 to 35 in global FT Rankings.
Does this mean, one of the Indian B-Schools is ranked 25 or 35 ??
I hope you would agree, Not necessarily.

I disagree. If you said to me that all Top Indian B Schools are ranked between 25 to 35, I would assume that one is ranked 25 and one 35. Otherwise why would you give that range? If I said to you all basketball players in the NBA are between 5'11 and 7'3, you would assume that there is an example on each extreme.
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
This is a nice question. I absolutely love it. This shows how GMAT plays with our minds.
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
chetan2u GMATBusters nick1816

Hello I was wondering whether someone could clarify whether between 20.000 and 35.000 means (20.000-35.000) or [20.000-35.000] ( so are those numbers inclusive or not)?
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
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open interval : (a,b) means all number between a and b but NOT equal to a or b
Closed interval : [a,b] means all number between a and b or equal to a or b

But this is NOT tested in GMAT.

"between a and b " means a and b are NOT included.

UNSTOPPABLE12 wrote:
chetan2u GMATBusters nick1816

Hello I was wondering whether someone could clarify whether between 20.000 and 35.000 means (20.000-35.000) or [20.000-35.000] ( so are those numbers inclusive or not)?
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
Too vague to tell the EXACT range.
Is this a real GMAT material?
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
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Re: In a recent survey, twenty families reported their incomes for 1995. [#permalink]
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