OG range problem

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Redhorsep: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Thu Jun 30, 2011 2:47 pm; Thanked: 1 times

by Redhorsep » Mon Sep 12, 2011 10:06 am

Hi,

Pleaes walk me through the steps you take for solving this OG problem:

If S is a set of 4 numbers w, x, y and z, is the range of the numbers in S greater than 2?

1. w-z > 2
2. z is the least # in S

Thanks!

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Source: Beat The GMAT — Data Sufficiency | Mon Sep 12, 2011 10:06 am

cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Mon Sep 12, 2011 10:37 am

range = largest number - smallest number
r>2????
b) z is smallest. no idea about largest. insufficient
a) w-z>2.
the largest number =w or >w, the smallest number=z or <z.. thus in any case, range >2
Sufficient.
IMO A

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Cans!!

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sl750: Master | Next Rank: 500 Posts; Posts: 496; Joined: Tue Jun 07, 2011 5:34 amFollowed by: 1 member; Thanked: 38 times

by sl750 » Tue Sep 13, 2011 8:09 am

Statement 1
w-z>2. This implies that, if w where the largest number in the set and z the smallest, we satisfy the prompt. Now let's consider another case, in which w is not the largest, here w could be 5 and z could be 1 or 2. We also have two other integers. Clearly, either of x or y could be larger than w or either of x or y could be lower than z. In this case the Range would definitely be at least greater than 3. Sufficiency is achieved

Statement 2
z is the smallest number. We are not told that the other numbers are unique, so all the four numbers could be identical, in which case the range is 0 or the numbers could all be different and the range could be greater than 2. Insufficient

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1947: Master | Next Rank: 500 Posts; Posts: 215; Joined: Sat Jun 14, 2008 4:24 pmFollowed by: 1 member; Thanked: 13 times

by 1947 » Tue Sep 13, 2011 8:18 am

I made silly mistake and thought answer is C

u guys are right that by A range is atleast > 2...

Thanks

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