Is range of S > 2????

[tejkumar.m]

Hi Manhattan staff,

Can you please help me out with the below DS problem?? I thought the answer is E.

[Deleted because this question is from a banned source. Please see below.]


OA is "Using A alone" i.e. "A"

This is an OG Quant problem. The solution says

1) This reveals that the difference between two of the numbers of the set is >2 , which means that the range of the 4 numbers must also be > 2. so, sufficient.

Can you just plug-in and explain this.. Am able to understand this to some extent but not perfectly...

Thank You

[cyapt81]

Range is defined as the (greatest term) - (lowest term). The question is asking whether the first term of set S minus the last term is greater than 2.

(1) If W - Z > 2 then W>2+Z. That means that there are two numbers in set S that are at least 2 numbers apart. E.g. Z = 2 and W = 5. It doesn't matter what the other numbers are. If x and y are between Z and W then the range will be W minus Z which equals 3. If one of x and y are either greater than or less than 2 and 5 then the range will still be greater than 2. SUFFICIENT.

(2) Tells us nothing about Z or the rest of the numbers.

A.

[akhp77]

Statement 1:
w-z > 2
=> w>z
Other two numbers might be > w, in between w & z, or < z.
No matter what are the other two numbers the range will always greater than 2

Sufficient

Statement 1:

Insufficient

[StaceyKoprince]

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