Is x y – t (2) x + s

Question

Is x < y?

(1) s > y – t
(2) x + s < t

teaserbae · Answer

From statement 1: s>y-t = t > y-s = y-s

Mo2men · Answer

(1) s > y – t No info about x Insufficient (2) x + s < t No info about y Combine 1 & 2 s > y – t x + s < t -----------------subtract as signs are opposite - x> y -2t.........rearrange y +x < 2t Let t= 0 , x =-1, y =-2..........-3 < 0...............Answer is No Let t= 0 , x =-2, y =-1..........-3 < 0...............Answer is Yes Insufficient Answer: E

push12345 · Answer

I) include s y and t
No x insufficient

II) include s x and t
No y so insufficient

Combining gives 2t>x+y
Insufficient

So E is answer

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SaquibHGMATWhiz · Answer

Solution: Pre Analysis: We are asked if x y – t No information on x Thus, statement 1 alone is not sufficient and we can eliminate options A and D Statement 2: x + s < t No information on y Thus, statement 2 alone is also not sufficient Combining: From statement 1, we get s > y – t or t>y-s From statement 2, we get x + s < t or t>x+s Upon subtracting the two inequality, we get: t-t>y-s-(x+s) ⇒0>y-s-x-s ⇒0>y-x-2s 2s>y-x Let is assume s=2 Then y-x<4 If y-x=3 , then we can say y>x If y-x=-2 , then we can say y

Is x < y? (1) s > y – t (2) x + s < t

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