rst

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rst

by ST » Fri May 22, 2009 8:18 am
Is rst = 1?

1. rs = 1
2. st = 1

answer is E

could someone explain this problem?

thank you

ST
Source: — Data Sufficiency |

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by DanaJ » Fri May 22, 2009 8:31 am
This is a GMATprep question, I believe.
So you're trying to find out if rst = 1.

1. tells you that rs = 1. Obviously, since you don't know anything about t, you can't say if rst = 1. For all you know, t = 1 or t = 1000.

2. again, you don't know anything about r, so this is not sufficient either.

Put both together to get that r*(s^2)*t = 1. This means that rst = 1/s. Now, 1/s = 1 only when s = 1. If s is not 1, then the whole thing falls apart. Take a simple example to prove that.

Say r = t = 4 and s = 4. This means indeed that r(s^2)t = 1, but rst = 4*1/4*4 = 4, which is different from 1.

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Thank you

by ST » Fri May 22, 2009 10:24 am
Thank you. Make sense now. :)