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by diebeatsthegmat » Thu Mar 17, 2011 12:15 pm
If N is a set of five numbers p, w, r, s, and t, is the range of numbers in N greater than 5?
(1) The average (arithmetic mean) of p, w, r, s, and t is 5.
(2) p -r > 5.
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Source: — Data Sufficiency |
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by GMATGuruNY » Thu Mar 17, 2011 12:46 pm
diebeatsthegmat wrote:If N is a set of five numbers p, w, r, s, and t, is the range of numbers in N greater than 5?
(1) The average (arithmetic mean) of p, w, r, s, and t is 5.
(2) p -r > 5.
Statement 1: mean = 5.
{5, 5, 5, 5, 5}. Mean = 5, range = 0.
{0, 5, 5, 5, 10}. Mean = 5, range = 10-0 = 10.
Since the range can be less than 5 or greater than 5, insufficient.

Statement 2: p-r > 5.
If the difference of two of the values is greater than 5, then the range -- the difference of the biggest and the smallest values -- must be greater than 5.
Sufficient.

The correct answer is B.
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by diebeatsthegmat » Mon Mar 21, 2011 11:22 am
GMATGuruNY wrote:
diebeatsthegmat wrote:If N is a set of five numbers p, w, r, s, and t, is the range of numbers in N greater than 5?
(1) The average (arithmetic mean) of p, w, r, s, and t is 5.
(2) p -r > 5.
Statement 1: mean = 5.
{5, 5, 5, 5, 5}. Mean = 5, range = 0.
{0, 5, 5, 5, 10}. Mean = 5, range = 10-0 = 10.
Since the range can be less than 5 or greater than 5, insufficient.

Statement 2: p-r > 5.
If the difference of two of the values is greater than 5, then the range -- the difference of the biggest and the smallest values -- must be greater than 5.
Sufficient.

The correct answer is B.
hi, may i ask something?
is this " If the difference of two of the values is greater than 5, then the range -- the difference of the biggest and the smallest values -- must be greater than 5" a theory???
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by Anurag@Gurome » Tue Mar 22, 2011 12:16 am
diebeatsthegmat wrote:
GMATGuruNY wrote:
diebeatsthegmat wrote:If N is a set of five numbers p, w, r, s, and t, is the range of numbers in N greater than 5?
(1) The average (arithmetic mean) of p, w, r, s, and t is 5.
(2) p -r > 5.
Statement 1: mean = 5.
{5, 5, 5, 5, 5}. Mean = 5, range = 0.
{0, 5, 5, 5, 10}. Mean = 5, range = 10-0 = 10.
Since the range can be less than 5 or greater than 5, insufficient.

Statement 2: p-r > 5.
If the difference of two of the values is greater than 5, then the range -- the difference of the biggest and the smallest values -- must be greater than 5.
Sufficient.

The correct answer is B.
hi, may i ask something?
is this " If the difference of two of the values is greater than 5, then the range -- the difference of the biggest and the smallest values -- must be greater than 5" a theory???

Yes. This is always true.
Let any two values be 'a' and 'b' such that b > a.
So, b - a > 5.
Let the smallest value be p and the largest value be q.
Or range = q - p.
Now p <= a, since p is the smallest value.
Also, q >= b, since q is the largest value.
So, (q - p) >= (b-a) > 5
Or range = (q - p) > 5.
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