Hi Md Raihan Uddin,

In the future, you should include just one prompt per post. This is so the conversation will focus on just one prompt and there will be less confusion than if there were multiple conversations about multiple prompts.

Secondly, I'm curious if there's any missing notation in either of the two prompts that you listed. For example, in the second question.....

is (2+x) raised to the 2nd power OR is it raised to the 2(x-3)(2x+4) power?

GMAT assassins aren't born, they're made,
Rich

Md Raihan Uddin wrote:1. For what value(s) of k is the following equation satisfied?
2k-9-k = 4k+6-3k"
a. -5 b. 0 only c. 5/2 only d. No value e. Any value

2. What is the largest possible value of the following expression
(x+2)(3-x)(2+x)^2(x-3)(2x+4)
a. -576 b. -24 c. 0 d. 8 e. can't be determined

Dear Md Raihan Uddin
As I mentioned in another post, you need to be very careful about using proper mathematical notation. Many students make the mistake copying directly from what they see on the page to the plaintext of this forum, without any understand of the information that is lost in this process. Part of the problem is a complete misunderstanding of the nature of mathematical grouping symbols:
https://magoosh.com/gmat/2013/gmat-quant ... g-symbols/

In the first equation, you have a quote sign, ", as part of the equation, and I am not sure what this means. I am not sure what you are trying to say there.

In the second question, Rich asked whether you meant:
option #1) (x+2)(3-x)[(2+x)^2](x-3)(2x+4)
or
option #2) (x+2)(3-x)(2+x)^[2(x-3)(2x+4)]
You seemed to indicate option #2, but if that's the case, then this is not a GMAT problem at all, because having a quadratic exponent is far beyond anything that would appear on the GMAT.

Finally, when you post questions, please cite sources. Please indicate the exact source of the question.

Does all this make sense?
Mike