Is t=|r−s|?

Question

Is t=|r−s|?

(1) 3r > 3s
(2) t=r−s

chetan2u · Answer

what all does Is t=|r-s| means? 1) is t a positive number.. 2) is the numeric value of t equal to the difference/ distance between r and s? lets see the statements- (1) 3r > 3s or 3(r-s)>0.. so we know r-s>0, but NOTHING about t.. Insuff.. (2) t=r−s Likely to be choosen as Suff by few.. But we do not know which is greater .. a) if r> s, r-s >0 and t will be positive.. ans will be YES b) if s>r, r-s<0 so t<0.. ans will be NO so different answers.. Insuff combined.. we know r-s>0 and from II that r-s = t.. so t=|r-s| suff C

irynalowry · Answer

What if both r and s are negative?

amanvermagmat · Answer

Hello

Even if both r and s are negative, first statement tells us that r > s. And second statement tells us that t = r-s. Now even if both r and s are negative, if r > s then r - s will be positive only (you can try taking negative values of r/s such that r > s and check).

So after combining the statements, we know 't' or 'r-s' is positive and equal and thus t = |r-s|

irynalowry · Answer

I got it now. Combining 1st and 2nd, the difference will always be positive because of the first statement. Thank you

LeoN88 · Answer

#1
r>s Since 3>0
We don't know anything about t, so insufficient.

#2
t= (r-s), (r-s) can be -ve or +ve, Insufficient.

#1+2
r>s so (r-s) is a +ve value=t,  one possible value. Sufficient C

AntonioGalindo · Answer

The question is asking whether t = r-s or t = -r+s
If “t” is positive, the answer will be yes. If “t” is negative, the answer will be no (since an absolute value is always positive”

Statement 1 tells us that r > s or that r – s is positive. However, we don’t know anything about “t”. Eliminate AD.

Statement 2 tells us that t = r-s 
If r-s is positive, “t” would be positive and the answer would be YES.
If r-s is negative, “t” would be negative and the answer would be NO.
Eliminate B

Combining S1 and S2 we know that r-s is positive and t = r-s, hence t is positive, hence t= |r-s|. Answer C

Is t=|r−s|?

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Is t=|r−s|?

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