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Sub 505 (Easy)|   Word Problems|                              
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Hi All,

We're told that three houses are being sold. We're asked for the price with the second-largest asking price. This DS question can be solved by TESTing VALUES.

1) The difference between the greatest and the least asking price is $130,000.

IF....
The largest price = $200,000
Then the least price = $70,000
Then the 2nd-largest price could be ANY value between those two.
Fact 1 is INSUFFICIENT

2) The difference between the two greater asking prices is $85,000.

IF....
The largest price = $200,000
Then the 2nd-largest price = $115,000

IF....
The largest price = $210,000
Then the 2nd-largest price = $125,000
Fact 2 is INSUFFICIENT

Combined, we have an unlimited number of possible outcomes, including two that we've already noted above (with the least price included):

IF....
The largest price = $200,000
Then the 2nd-largest price = $115,000
Then the least price = $70,000

IF....
The largest price = $210,000
Then the 2nd-largest price = $125,000
Then the least price = $80,000
Combined, INSUFFICIENT

Final Answer:
GMAT assassins aren't born, they're made,
Rich
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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price?

(1) The difference between the greatest and the least asking price is $130,000.
(2) The difference between the two greater asking prices is $85,000.

Source: [OG 2016]


Another approach:

A = Asking price of most expensive house
B = Asking price of 2nd most expensive house
c = Asking price of least expensive house

now according to (1) A-C=130,000
and according to (2) A-B=85,000

Now (1) - (2) gives B-C=45,000

Now adding all 2A-2B-2C=260,000 i.e. A-B-C=130,000 since we know A-C=130,000 Therefore B=0 which is not possible.

Hence E
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BrainLab
Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price?

(1) The difference between the greatest and the least asking price is $130,000.
(2) The difference between the two greater asking prices is $85,000.

Source: [OG 2016]

Answer: Option E

Video solution by GMATinsight

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