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x?

by sanju09 » Sat Apr 04, 2009 5:58 am
What is the value of x?

(1) The average (arithmetic mean) of 5, x ^ 2, 2, 10 x, and 3 is -3.

(2) The median of 109, -32, -30, 208, -15, x, 10, -43, 7 is -5.
The mind is everything. What you think you become. -Lord Buddha



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Re: x?

by bluementor » Mon Apr 06, 2009 3:51 am
sanju09 wrote:What is the value of x?

(1) The average (arithmetic mean) of 5, x ^ 2, 2, 10 x, and 3 is -3.

(2) The median of 109, -32, -30, 208, -15, x, 10, -43, 7 is -5.
Statement 1:
(x^2 + 10x + 10)/5 = -3
x^2 + 10x + 10 = -15
x^2 + 10x + 25 = 0
(x + 5)^2 = 0
x = -5. Sufficient.

Statement 2:
The median of -5 must appear within the data list. Since all other values (besides x) are not -5, so x must be -5. Sufficient.

Choose D.

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Re: x?

by sanju09 » Mon Apr 06, 2009 3:57 am
bluementor wrote:
sanju09 wrote:What is the value of x?

(1) The average (arithmetic mean) of 5, x ^ 2, 2, 10 x, and 3 is -3.

(2) The median of 109, -32, -30, 208, -15, x, 10, -43, 7 is -5.
Statement 1:
(x^2 + 10x + 10)/5 = -3
x^2 + 10x + 10 = -15
x^2 + 10x + 25 = 0
(x + 5)^2 = 0
x = -5. Sufficient.

Statement 2:
The median of -5 must appear within the data list. Since all other values (besides x) are not -5, so x must be -5. Sufficient.

Choose D.

-BM-
well done B-)
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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