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Bunuel
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Is x < y? (1) s > y – t (2) x + s < t 17 Apr 2018, 01:01
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

80% (01:42) correct 20% (01:38) wrong based on 116 sessions

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Is x < y?

(1) s > y – t
(2) x + s < t
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E
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teaserbae
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Is x < y? (1) s > y – t (2) x + s < t 18 Apr 2018, 03:25
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From statement 1:
s>y-t
= t > y-s
= y-s<t
From statement 2:
x + s < t

Since both the statement are not sufficient so the ans is E
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Is x < y? (1) s > y – t (2) x + s < t Updated on: 02 May 2018, 14:19
Originally posted by Mo2men on 18 Apr 2018, 15:16.
Last edited by Mo2men on 02 May 2018, 14:19, edited 1 time in total.
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Bunuel
Is x < y?

(1) s > y – t
(2) x + s < t

(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
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Is x < y? (1) s > y – t (2) x + s < t 01 May 2018, 10:01
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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

Posted from my mobile device
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GMAT 1: 760 Q51 V40
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Is x < y? (1) s > y – t (2) x + s < t 04 Jan 2023, 07:08
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Bunuel
Is x < y?

(1) s > y – t
(2) x + s < t

Solution:
Pre Analysis:
  • We are asked if \(x<y\) or not
  • In other words we are asked which of x or y is bigger

Statement 1: \(s > y – t\)
  • 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 \(y<x\)

Hence the right answer is Option E
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Bunuel
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