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In a recent survey, twenty families reported their incomes

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In a recent survey, twenty families reported their incomes [#permalink]

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New post 29 Mar 2014, 05:31
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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.
[Reveal] Spoiler: OA

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Re: In a recent survey, twenty families reported their incomes [#permalink]

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Statement 1 is insufficient as it only provides the lower bound.
Statement 2 is insufficient as it only provides the upper bound.

Now let's combine both statements, and try the extremes.
Case 1: 13 incomes of 34,000 and 7 incomes of 81,000
Range = 81,000 - 34,000 = 47,000.

Case 2: 13 incomes of 21,000 and 7 incomes of 94,000
Range = 94,000 - 21,000 = 73,000.

In case 1, range is less than 60,000 and in case 2 the range is greater than 60,000.

Thus, the answer is E.
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Re: In a recent survey, twenty families reported their incomes [#permalink]

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New post 04 Jun 2014, 08:53
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Statement 1: We only know about the 13 values and know nothing about the remaining values
Statement 2: We only know about the 7 values and know nothing about the remaining values

1+2 --> lowest possible range is = 80k-35k = 45k and the highest possible= 95k-20k = 75k. Since the range is between 45k to 75k impossible to tell if it is greater than 60k. Insuff!

Ans: E
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Re: In a recent survey, twenty families reported their incomes [#permalink]

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New post 24 Oct 2017, 03:33
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 [#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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In a recent survey, twenty families reported their incomes [#permalink]

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New post 05 Nov 2017, 13:44
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 [#permalink]

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New post 05 Nov 2017, 19:46
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 [#permalink]

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New post 05 Nov 2017, 19:49
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   [#permalink] 05 Nov 2017, 19:49
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