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Statement (1)

Example 1:
C = (5, 15)
D = (2, 10)
C range = 15 - 5 = 10
W range = 10 - 2 = 8
C range> W range

Example 2:
C = (8, 15)
D = (2, 10)
C range = 15 - 8 = 7
W range = 10 - 2 = 8
C range < W range

Statement (1) is not sufficient.

Statement (2)

Using the same examples from statement (1). As both the examples satisfy the statement (2) condition, Statement (2) is also not sufficient.

Statements together are also not sufficient.

Answer E


Bunuel
During a wedding season, two event venues, Cedar Hall and Willow Hall, rented out their banquet spaces for private receptions. Was the range of rental fees charged at Cedar Hall greater than the range of rental fees charged at Willow Hall?

(1) The highest rental fee charged at Cedar Hall was greater than the highest rental fee charged at Willow Hall.
(2) The lowest rental fee charged at Cedar Hall was greater than the lowest rental fee charged at Willow Hall.

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Answer is E, and here's the cleanest way to see it.

Range = Max - Min. The question is whether Cedar's (Max - Min) is greater than Willow's (Max - Min).

The trap this question sets is that both statements shift Cedar's values upward compared to Willow's, which makes people instinctively think Cedar's spread must also be wider. It isn't. Shifting both endpoints of a set upward tells you nothing about how far apart those endpoints are.

Concrete numbers to disprove together:

Case 1: Cedar = [5, 10], Willow = [3, 7]
Both statements satisfied (10>7, 5>3). Cedar range = 5, Willow range = 4. Cedar range IS greater.

Case 2: Cedar = [5, 10], Willow = [1, 9]
Both statements satisfied (10>9, 5>1). Cedar range = 5, Willow range = 8. Cedar range is NOT greater.

Same starting point for Cedar, same statements satisfied, opposite answers. That's a clean contradiction with both statements combined, so the answer is E.

The concept being tested here is the classic Data Sufficiency trap: information about individual elements of a set (like specific max or min values) doesn't automatically transfer to information about derived statistics like range. This shows up fairly often on GMAT Focus Edition DS, worth keeping in your mental pattern library.
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