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16 Jan 2013, 12:04
chiccufrazer1 wrote:
the ratio of rate of earning $2.75 for 5 days' work to the rate of earning$2.1 for 4 days' work is close to:
(A) 2.75:2.4
(B) 11:12
(C) 5:4
(D) 12:11
(E) 13.75:6

Dear chiccufrazer1,

I have NEVER seen an official math question ask anything like a "close to" question of this sort. The exact ratio here is, of course, 22/21 --- I could imagine the GMAT asking for that. I could also imagine an approximation question --- if they made this much in this period, how much would they make in this larger period? Finally, I don't think the GMAT would ever expect test takers to recognize without a calculator that, for example, 22/21 is closer to 12/11 than it is to 5/4.

I believe this question has in it, as it were, the seeds of one or two very good questions, but with all due respect, in its current form, I don't believe it would ever appear on the GMAT.

Mike
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Mike McGarry
Magoosh Test Prep

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16 Jan 2013, 14:38
chiccufrazer1 wrote:
okay..if there happened to be some erratum in the question, i am really sorry about that, maybe the answer was predicted to be some sort of approximation to a whole number..but would you please explain on how you ended up getting 22:21..i just wanted to know clearly how it is possible to have ratio from unequal two separate number of days

I'm happy to answer this.

The question asks for "the ratio of rate of earning $2.75 for 5 days' work to the rate of earning$2.1 for 4 days' work" ----- it's asking for a ratio of rates, which is a very difficult idea.

Rate #1 = $2.75/5 =$0.55

Rate #2 = $2.10/4 =$1.05/2

The ratio sought by the question is the ratio of these two rates:

ratio = [Rate #1]/[Rate #2] = ($0.55)/[$1.05/2] = ($0.55)*(2/$1.05) = $1.10/$1.05 = 110/105 = 22/21

Does all this make sense?

Mike
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Mike McGarry
Magoosh Test Prep

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