Is (s- t)/(st)

Question

Is  \frac{s - t}{st} < 0  ?

(1)  t < 0 < s

(2)  \frac{st}{s - t} < -1

nick1816 · Answer

Question stem - Is \frac{(s-t)}{st} < 0 or \frac{1}{t} - \frac{1}{s }< 0 ? Statement 1- t<0 or \frac{1}{t} <0 s>0 or \frac{1}{s} >0 hence \frac{1}{t} - \frac{1}{s} < 0 Sufficient Statement 2- \frac{st}{(s-t)} < -1 -1 < \frac{(s-t)}{st} < 0 Sufficient

Kinshook · Answer

Asked: Is  \frac{s - t}{st} < 0  ?

(1)  t < 0 < s 
s-t > 0
st <0
 \frac{s-t}{st} <0 
SUFFICIENT

(2)  \frac{st}{s - t} < -1 
 \frac{st}{s-t} < -1 <0 
 \frac{s-t}{st }< 0 
SUFFICIENT

IMO D

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Is (s- t)/(st) < 0 ? (1) t < 0 < s (2) st/(s - t) < -1

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