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If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t

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Harley1980
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If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   18 Jun 2015, 08:58
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If s and t are nonzero integers, is s = 1?

1) st = 1
2) st = t
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B
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IanStewart
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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   18 Jun 2015, 10:50
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In S1, we might have s=t=1, or s=t=-1, so S1 is not sufficient.

In S2, we have:

st = t
st - t = 0
t(s-1) = 0

which is true either if t=0, or if s=1. We are told t is not zero, so it must be that s=1, which is what the question asked, and the answer is B

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If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   Updated on: 18 Jun 2015, 12:22
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Harley1980 wrote:
If s and t are nonzero integers, is s = 1?

1) st = 1
2) st = t


Question : Is s = 1?

Statement 1: st=1

@t=1, s=1
@t=-1, s=-1

NOT SUFFICIENT

Statement 2: st=t
i.e. st-t = 0

i.e. t(s-1) = 0
i.e. t=0 OR s=1

But Since s and t are NON ZERO therefore s=1

SUFFICIENT

Answer: Option
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B

Originally posted by GMATinsight on 18 Jun 2015, 11:40.
Last edited by GMATinsight on 18 Jun 2015, 12:22, edited 1 time in total.
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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   18 Jun 2015, 12:08
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GMATinsight wrote:

Statement 1: st=1

@t=1/2, s=2


t cannot be 1/2, because t is an integer. The only reason S1 is not sufficient here is because s and t might both be -1.
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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   19 May 2018, 00:28
What I have learnt in questions like these is that you should always convert the options into simplest form.

Statement 1: s * t = 1

Simplifying in terms of s

s = 1/t (There could be an infinite amount of values for this equation) [Not Sufficient]

Statement 2: s*t = t

Therefore simplifying further we have

s = t/t = 1 [Sufficient]

Answer choice B
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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   15 Sep 2019, 21:03
Harley1980 wrote:
If s and t are nonzero integers, is s = 1?

1) st = 1
2) st = t


Asked: If s and t are nonzero integers, is s = 1?

1) st = 1
t, s = 1 or -1
NOT SUFFICIENT

2) st = t
t(s-1)=0
Since \(t \neq 0\)
s=1
SUFFICIENT

IMO B

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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   23 Nov 2020, 12:49
Harley1980 wrote:
If s and t are nonzero integers, is s = 1?

1) st = 1
2) st = t


(1) \(s = t = -1\) or \(s = t = 1\); INSUFFICIENT.

(2) \(st = t\)

\(\frac{st}{t} = \frac{t}{t} = s = 1\)

SUFFICIENT.

Answer is B.
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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink] New post   09 Mar 2024, 05:49
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Re: If s and t are nonzero integers, is s = 1? 1) st = 1 2) st = t [#permalink]
09 Mar 2024, 05:49
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