City X has the highest percentage of households with an annual income

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.

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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