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Pardon me for the wrong answer given last time. The answer is indeed B.

Only in the case of R>0 would the equation (r+t)/(r-t)>0. r>t be satisfied. If r is less than 0, then the equation may result is either case. If R>0, then if t is more than r then, the original equation will not be satisfied. I had checked this with number subs .. for any value of R more than 0, the equation to be valid, t shoud be less than r.

Sorry for causing the confusion.
Regards
_________________

You have made a mistake here. If r is less than t, then the original equation does not stand good. Taking your case, you have mentioned, if r=3, then the orginal equation (r+4)/(r-4)>0 will be less than 0. But we are not suppose to change the orginal equation in here.

If t>0, take as an example t=1 and r=3. in this case the result will be (3+1)/(3-1) =2>0 sufficient

But if r>0 this do not mean that t must be positive it could be any number less than r. for example, r=2 t=-4
(2-4)/(2+4)=-2/6 . In other cases the result will be poistive. hence, Insufficient.

If t>0, take as an example t=1 and r=3. in this case the result will be (3+1)/(3-1) =2>0 sufficient

But if r>0 this do not mean that t must be positive it could be any number less than r. for example, r=2 t=-4 (2-4)/(2+4)=-2/6 . In other cases the result will be poistive. hence, Insufficient.

Correct me if I am wrong.

good luck all

No, dr_sabr, it is wrong. Look, the stem SHOULD be always true, and in your example it is not satisfied! But it should be!

I will take 1) first.
If t>0, take as an example t=1 and r=3. in this case the result will be (3+1)/(3-1) =2>0 sufficient. because whatever is t, r must be >t.

2) But if r>0 this do not mean that t must be positive it could be any number less than r. for example, r=2 t=-4 =>(2-4)/(2+4)=-2/6 . In another case if r=3 t=2 =>(3+2)/(3-2)=5>0 . hence, Insufficient

Correct me if I am mistaken .
_________________

-Genius is one percent inspiration, and ninety-nine percent perspiration.

2) But if r>0 this do not mean that t must be positive it could be any number less than r.

NOT any number less than r, but any number, for which the STEM is true! i.e., for which (r+t)/(r-t) > 0. But in your example this is not the case: r = 2, t = -4 and (r+t)/(r-t) = -1/3 < 0 and this contradicts the stem!!!

dr_sabr wrote:

for example, r=2 t=-4 =>(2-4)/(2+4)=-2/6 . In another case if r=3 t=2 =>(3+2)/(3-2)=5>0 . hence, Insufficient

But in your example this is not the case: r = 2, t = -4 and (r+t)/(r-t) = -1/3 < 0 and this contradicts the stem!!!

I think that I misunderstood this question, I thought the stem was r>t . Thank you Emmanuel for correcting me. I hope I don't make this mistake on the test.
_________________

-Genius is one percent inspiration, and ninety-nine percent perspiration.

But in your example this is not the case: r = 2, t = -4 and (r+t)/(r-t) = -1/3 < 0 and this contradicts the stem!!!

I think that I misunderstood this question, I thought the stem was r>t . Thank you Emmanuel for correcting me. I hope I don't make this mistake on the test.

I hope that you will do such questions easily on the test, once you have seen what problems can arise here.