GRE Mini Exams, Full Quant Section #2

@gregmat

As question is asking, how many times LARGER and not “how many times”, should not answer be here 9 instead of 10?

As (0.5A-0.05A) / (0.05A) = 9, where A is the annual budget.

I don’t think so. Because then if you say that “y is twice as large as x”, then that means that y = x, which makes no sense.

Yeah, good example here

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But that seems different language… Above we are using y is two times larger/greater than x => y=3x, while in your example y is directly compared with x, hence y=2x.

Another example could be, y is 2 times smaller than x. How would you write that? Please note that we are using “than” here for comparison, where as “than” is missing in “as large as”.

Another way I was thinking is, If y is 2 times x implies y=2x and y is 2 times larger than x also implies that y=2x then larger used there would be redundant.

@gregmat

Put it this way: if you say that “y is one time as large as x”, that is the same as saying “y is as large as x”, which is y = x.

The confusion is between that and wording such as “y is 100% more than x”, which is y = 2x.

I still do not get you, How is “y is one time as large as x” similar to “y is one time larger than x”. While first implies y=x but second implies y=2x.

In other way, how would you write “y is 2 times smaller than x”?

y = x/2

May you provide some source for same? What GRE is actually following? I could not find much of a clear cut reference, while I am still not agreeing that “y is one time as large as x” is similar to “y is one time larger than x”. Because in second sentence there is clear cut sign of larger than, just how we use it in when we say, y is 100% greater than x implies, y=2x.