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
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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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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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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