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City X has the highest percentage of households with an annual income 20 Nov 2017, 13:12
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66% (01:32) correct 34% (01:41) wrong based on 418 sessions

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City X has the highest percentage of households with an annual income higher than $50,000. However, the percentage of households with an annual income of $70,000 or more is highest in City Y.

If the statements above are true, which of the following must also be true?


a The percentage of households with an annual income of $100,000 is higher in City Y than in City X.
b City X has the second highest percentage of households with an annual income of $70,000 or more.
c Some households in City X have an annual income between $50,000 and $70,000.
d The number of households with an annual income of more than $50,000 is greater in City X than in City Y.
e Average annual household income is higher in City Y than in City X.


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City X has the highest percentage of households with an annual income 20 Nov 2017, 13:44
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Please find in the below link a similar question and explanation.

https://gmatclub.com/forum/this-might-have-come-many-times-the-percentage-of-82225.html
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City X has the highest percentage of households with an annual income 04 Aug 2019, 10:51
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devikeerthansr
City X has the highest percentage of households with an annual income higher than $50,000. However, the percentage of households with an annual income of $70,000 or more is highest in City Y.

If the statements above are true, which of the following must also be true?


a The percentage of households with an annual income of $100,000 is higher in City Y than in City X.
b City X has the second highest percentage of households with an annual income of $70,000 or more.
c Some households in City X have an annual income between $50,000 and $70,000.
d The number of households with an annual income of more than $50,000 is greater in City X than in City Y.
e Average annual household income is higher in City Y than in City X.


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a The percentage of households with an annual income of $100,000 is higher in City Y than in City X. No, doesn't have to be. We are not given any information about that
b City X has the second highest percentage of households with an annual income of $70,000 or more. We don't know. What about other cities?
c Some households in City X have an annual income between $50,000 and $70,000. Yes, because city x has the highest percentage of households with an annual income HIGHER than $50,000
d The number of households with an annual income of more than $50,000 is greater in City X than in City Y. We don't know about numbers of housholds
e Average annual household income is higher in City Y than in City X. Not known
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City X has the highest percentage of households with an annual income Updated on: 20 Jun 2022, 07:50
Originally posted by PRamesh2008 on 20 Jun 2022, 03:50.
Last edited by PRamesh2008 on 20 Jun 2022, 07:50, edited 4 times in total.
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City X has the highest percentage of households with an annual income higher than $50,000. However, the percentage of households with an annual income of $70,000 or more is highest in City Y.

If the statements above are true, which of the following must also be true?


a The percentage of households with an annual income of $100,000 is higher in City Y than in City X.
b City X has the second highest percentage of households with an annual income of $70,000 or more.
c Some households in City X have an annual income between $50,000 and $70,000.
d The number of households with an annual income of more than $50,000 is greater in City X than in City Y.
e Average annual household income is higher in City Y than in City X.




Bunuel



Sir..

This question, especially options (C) and (D), needs further deliberation. Both the options (ie, C & D) will satisfy 'must be true' criteria as per the premises given in the stimulus. The explanation is as under :-


(C) Some households in City X have an annual income between $50,000 and $70,000.

As per the stimulus, City X has the highest percentage of households with an annual income higher than $50,000. while the percentage of households with an annual income of $70,000 or more is highest in City Y. Evidently, there are 'necessarily' some (in fact, large number) of households n City X who have an annual income between $50,000 and $70,000, consequently tilting the percentage in favour of City X when the 'annual income' range is enlarged from 'higher than $70000' to higher than $50000'

(D) The number of households with an annual income of more than $50,000 is greater in City X than in City Y.

Since the stimulus clearly mentions that City X has the highest percentage of households with an annual income higher than $50,000, it provides sufficient grounds to deduce with certainty that 'the number of households (since City X has the highest percentage of households with annual income higher than $50000..as per the stimulus) with an annual income of more than $50,000 will be greater in City X than in City Y or, for that matter, any other city '.

Simultaneously, (A), (B) & (E) can not be verified to be always true, so discarded.
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City X has the highest percentage of households with an annual income 20 Jun 2022, 06:48
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percentage and range of income for the two cities are given.
what else can we say from the given text that is true based on the information provided?

A: No, doesn't have to be
B: We don't know
C: Yes, Probably. BEST CHOICE
D: Additional info required to say that, we don't have that info
E: Additional info required to say that, we don't have that info
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City X has the highest percentage of households with an annual income 05 Apr 2024, 13:49
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