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# Is t =|r - s|? (1) 3r > 3s (2) t = r -s

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Manager
Joined: 21 Jul 2018
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Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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21 Jan 2019, 23:47
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Difficulty:

35% (medium)

Question Stats:

62% (01:17) correct 38% (01:07) wrong based on 79 sessions

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Is t =|r - s|?

(1) 3r > 3s

(2) t = r -s

_________________

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Intern
Joined: 14 Dec 2018
Posts: 5
Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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22 Jan 2019, 14:34
1
Gmatprep550 wrote:
Is t =|r - s|?

(1) 3r > 3s

(2) t = r -s

First, we have to know that if r-s<0 so |r-s|=s-r and if r-s>=0; |r-s|=r-s

(1) 3r > 3s -> r-s>0 -> t=r-s but we don't have any value. Insufficient.

(2) t=r-s -> if is happens, so r-s must be >=0 to answer the question, but we don't have it in this point. Insufficient

Finally (1) and (2) are sufficient together, because if r-s>0, so t=r-s and we can confirm with the point (2).
Manager
Joined: 11 Jun 2018
Posts: 67
GMAT 1: 500 Q39 V21
Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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30 Jan 2019, 10:02
@chetan2u:-can you please explain how this question needs to be solved?
Manager
Joined: 16 Oct 2011
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Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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30 Jan 2019, 11:07
Gmatprep550 wrote:
Is t =|r - s|?

(1) 3r > 3s

(2) t = r -s

(2) t = r-s. It is tempting to mark sufficient, but lets test some values Let r=-2 t=-3 then t =-2--3 =1 and |r-s| - |1| =1 Yes

let r=-2, s=1 then t =-2 - 1 =-3 and |r-s| =|-3| = 3 NS

(1) and (2) 3r>3s --> r>s And t=r-s Logic tells us that t will always be positive thus suff, however we can test some values just to be sure.

Notice for values of r and s r >S So, let r=-3, s=-4 then r-s = -3 --4 = 1 and |r-s| = |1| =1 Yes

Let r=-1/2 and s=-1 then r-s =1/2 and |r-s| =1/2 Yes

Let r=-1/2 s = -3/4 then r-s = 1/4 and |r-s| = |1/4| = 1/4 Yes

Let r = 1/2 s =1/4 then r-s = 1/4 and |r-s| = 1/4 Yes

Let r=2 and s=1 then r-s = 2-1 = 1 and |r-s| =|1| = 1

So whether we pick negative integers, negative fractions, positive fractions, or positive integers for r and s we get a Yes answer we can mark sufficient

C
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Status: It always seems impossible until it's done.
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Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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30 Jan 2019, 11:27
1
Manat,

the question asks if t =|r-s|.. note that the modulus is always non-negative. So, we can answer this question as yes or no, based on knowing if t = r-s or t = s-r depending on which of r & s is bigger.

For example, if r > s and t = r - s then we can say that yes, t = |r - s|, but it would be a certain "no" if r < s. Here, r - s would be negative and t cannot take a negative value.

Let us look at -

Statement (1)
3 r > 3s
or,
r > s ...does not give us any info to relate with t, hence insufficient

Statement (2)
t = r - s
This too is insufficient as depending on which one is bigger, r - s could either be negative or positive and hence we cannot be sure if t = |r - s|

Combining the two together - we can definitely say that t = |r-s| and that r-s is positive.

Hope this helps
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Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)

Manager
Joined: 11 Jun 2018
Posts: 67
GMAT 1: 500 Q39 V21
Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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30 Jan 2019, 18:13
Intern
Joined: 09 Mar 2017
Posts: 13
Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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30 Jan 2019, 18:42
Gmatprep550 wrote:
Is t =|r - s|?

(1) 3r > 3s

(2) t = r -s

What's the source for this question?
Manager
Joined: 21 Jul 2018
Posts: 142
Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s  [#permalink]

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30 Jan 2019, 22:25
dcwanderer30 wrote:
Gmatprep550 wrote:
Is t =|r - s|?

(1) 3r > 3s

(2) t = r -s

What's the source for this question?

Hi dcwanderer30,

Apologies as I don't know the source of above question as someone posted it in whatsapp study group and it was a nice question hence shared with this forum.
_________________

______________________________
Press +1 Kudos if my post helped you a little and help me to ulcock the tests Wish you all success

I'd appreciate learning about the grammatical errors in my posts

Please let me know if I'm wrong somewhere

Re: Is t =|r - s|? (1) 3r > 3s (2) t = r -s   [#permalink] 30 Jan 2019, 22:25
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