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Re: What is the range of the dataset of numbers comprised entire [#permalink]
3
huda wrote:
sandy wrote:
What is the range of the dataset of numbers comprised entirely of {1, 6, x, 17, 20, y} if all terms in the dataset are positive integers and xy = 18?

(A) 16
(B) 17
(C) 18
(D) 19
(E) It cannot be determined from the information given.



why NOT E.


That's because you can actually find the solution for any possible value of x y.
If x*y = 18 we can have six cases:
x = 1, y = 18
x = 2, y = 9
x = 3, y = 6
and the opposite.

Looking at the provided set of numbers then we see that in all the cases the biggest number is always 20 and the least is 1.
Thus the Range = 20 - 1 = 19.

Answer D.
Hope it is clear.
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Re: What is the range of the dataset of numbers comprised entire [#permalink]
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sandy wrote:
What is the range of the dataset of numbers comprised entirely of {1, 6, x, 17, 20, y} if all terms in the dataset are positive integers and xy = 18?

(A) 16
(B) 17
(C) 18
(D) 19
(E) It cannot be determined from the information given.


Let's examine the two extreme cases

Since x and y are positive integers, the SMALLEST difference between the two numbers occurs when x and y are 3 and 6.
Conversely, the GREATEST difference between the two numbers occurs when x and y are 1 and 18.

If x and y are 3 and 6, the set becomes {1, 6, 3, 17, 20, 6}, so the range = 20 - 1 = 19
If x and y are 1 and 18, the set becomes {1, 6, 1, 17, 20, 18}, so the range = 20 - 1 = 19

So the range is most definitely 19

Answer: D

Cheers,
Brent
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Re: What is the range of the dataset of numbers comprised entire [#permalink]
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