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For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=

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by AAPL » Mon Nov 23, 2020 4:34 am

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GMAT Paper Tests

For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=

A. 15
B. 18
C. 21
D. 24
E. 27

OA B
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Re: For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=

by Scott@TargetTestPrep » Mon Nov 30, 2020 10:47 am
AAPL wrote: ↑
Mon Nov 23, 2020 4:34 am
 GMAT Paper Tests

For all real numbers v, the operation is defined by the equation v* = v - v/3. If (v*)* = 8, then v=

A. 15
B. 18
C. 21
D. 24
E. 27

OA B
Solution:

We can let w = v*; thus, we have (v*)* = w* = 8. That is,

w - w/3 = 8

2w/3 = 8

w = 8 x 3/2 = 12

Now, we have v* = 12, or:

v - v/3 = 12

2v/3 = 12

v = 12 x 3/2 = 18

Answer: B

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