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A different way to solve than the two previous responses:

Since know bc ≠ 0 and we want to know what c cannot be, let's set b = 0.

3(0) + 2c = 18
2c = 18
c = 9

If c =9, b=0, then bc = 0. Therefore, c ≠ 9; D.
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Bunuel
If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a possible value of c?


A. \(5\frac{3}{5}\)

B. \(6\)

C. \(8\frac{2}{5}\)

D. \(9\)

E. \(12\)

Work out using the options.......

\(3b + 2c = 18\)

Or, \(3b + 2*9 = 18\)

Or, \(3b + 18= 18\)

Or, \(b = 0\)

Hence, \(bc = 0*9 => 0\) Thus Answer must be (D)
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Bunuel
If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a possible value of c?


A. \(5\frac{3}{5}\)

B. \(6\)

C. \(8\frac{2}{5}\)

D. \(9\)

E. \(12\)

Simplifying, we have:

3b = 18 - 2c

3b = 2(9 - c)

b = [2(9 - c)]/3

Since bc does not equal zero, c cannot be 9.

Answer: D
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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