D, R, and S have altogather $40.00. Does R has the largest

Question

D, R, and S have altogather $40.00. Does R has the largest amount?

i) D +S>$19.99
ii) R has $20.00

banerjeea_98 · Answer

"B" for me.....only concern is that the stem doesn't say that each has to have some amount, in that case it is "E"

ywilfred · Answer

i) D+S>$19.99 I
If D+S=20, then R will have $20 and so the largest sum
But If D+S=39, then R will have $1 and so possibly the smallest sum.

A and D are out.

ii) R has $20.00

R has $20. This means D+S will have $20. D,S could have ($19,$1), ($18,$2). Any combination will point to R having the largest sum.

***I'm assuming there is no chance that D or S can have $0.

So B is the answer.

Folaa3 · Answer

(B)...i hope they come this simple on the test :lol:

anandnk · Answer

My bet is that the answer is (E).

(A) and (D) are out.

Examine (B) now

if R has 20 then D+S should have 20 
it is possible that one of D and S has 0 and the other has 20. This cannot be ruledout.
Then two people endup with $20 and the other will have none.

greenandwise · Answer

I have the same issue with these questions as you do anandnk. Can you assume that all of them have money if they all together have $40? I mean you easily get B if you assume that they all have money but do they? I always get tripped up on this. I mean the answer is seemingly simple, but those are the ones I have the biggest issue with due to over analyzing the question!

HongHu · Answer

What does largest amount mean? Among the numbers 20, 20, 0, what is the largest amount? If it is 20 then we can still pick B.

lastochka · Answer

I tend to agree with anandnk on this one
we can't just assume that one of the amounts is not 0

and if that's the case, then we can have 20, 20, 0

In that case, 20 is not the largest amount, hence E

HongHu · Answer

If we have 20,20,0, why isn't 20 the largest amount? If not then what IS the largest amount?

MA · Answer

Ok guys, largest means, at least in this question, more than $20.

HongHu · Answer

Ok this is a very important issue of which we need to get to the end. I think that as long as there isn't any number that is larger than this one, we could call it the largest, or at least one of the largest. Is this definition of "largest" not right? 

You said that OA is B. That supports my belief, does it not?

700Plus · Answer

Yeah,in this question there is nothing wrong to call 20 the largest as you dont have any larger amount than 20.It should not matter if you have two 20's.

Also, I wont call taking 20,20,0 into consideration as over analyzing - in fact in my view it is right way to think,it is always a possibility.The question does not each one need to have some minimum amount.

lastochka · Answer

maybe I'm missing here, but how can you say that X has the largest amount, if someone else has the same amount? By definition, largest is greater than the rest. And if the remaining numbers include the same amount, it's not really the largest number then, is it?

Perhaps we should recruit one of gmat math veterans on this one, Paul, ian777?

anirban16 · Answer

Should be B.
Though intuitively by grammar a largest number is unique but if two numbers are equal and the third is zero, you don't have a largest in the set. Then the answer could still be B or...

D, R, and S have altogather $40.00. Does R has the largest

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