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GMAT Problem Solving (PS) | Re: T is the set of all numbers that can be written as the follo

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rekhabishop wrote:

Bunuel wrote:
honchos wrote:
T is the set of all numbers that can be written as the following sum involving distinct non-zero integers a, b, c and d: |a|/a + 2(|b|/b) + 3(|c|/c) + 4(|d|/d) + 5(|abcd|/abcd). What is the range of T?

A. 15
B. 20
C. 28
D. 29
E. 30


\(\frac{|x|}{x}\) is 1 when\(x>0\) and -1 when\(x<0\) . For example, if\(x=2\) , then\(\frac{|x|}{x}=1\) and if\(x=-2\) , then\(\frac{|x|}{x}=-1\) .

Thus the maximum value of\( \frac{|a|}{a} +2(\frac{|b|}{b} ) +3(\frac{|c|}{c} ) +4(\frac{|d|}{d} ) +5(\frac{|abcd|}{abcd} ) \)
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