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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
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Bunuel in GMAT official advanced, III. t-1/s-1 not s-1/t-1

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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
given
s=2t
so
I. 2t/s = solve we get 1
II. (s - t)/t = solve we get 1
III. (s - 1)/(t - 1) = no value
IMO C

gmatt1476 wrote:
If s/t = 2, then the value of which of the following can be determined?

I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III


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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
Expert Reply
gmatt1476 wrote:
If s/t = 2, then the value of which of the following can be determined?

I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III


PS77602.01


Since s = 2t, we can substitute 2t for s in each expression:

I. 2t / 2t = 1

I is correct.

II. (2t - t) / t = 1

II is correct.

III. (2t -1) / (t - 1)

We see that different values of t will yield a different value of the expression, so III is not correct.

Answer: C
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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
Expert Reply
siddharthaggarwal wrote:
Bunuel in GMAT official advanced, III. t-1/s-1 not s-1/t-1

Posted from my mobile device

_____________________
Edited. Thank you.
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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
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BrentGMATPrepNow wrote:
gmatt1476 wrote:
If s/t = 2, then the value of which of the following can be determined?

I. 2t/s
II. (s - t)/t
III. (s - 1)/(t - 1)

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III


I. 2t/s
If s/t = 2, then t/s = 1/2
So, 2t/s = 2(t/s) = (2)(1/2) = 1
So we CAN determine the value of 2t/s


II. (s - t)/t
Here, we can use a nice fraction property that says: (a - b)/c = a/c - b/c
We get: (s - t)/t = s/t - t/t = s/t - 1 = 2 - 1 = 1
So we CAN determine the value of (s - t)/t


III. (s - 1)/(t - 1)
Notice that, if s/t = 2, it COULD be the case that s = 2 and t = 1
When we plug these values into the expression we get: (s - 1)/(t - 1) = (2 - 1)/(1 - 1) = 1/0, which is undefined.
So we CANNOT determine the value of (s - 1)/(t - 1)

Answer: C

Cheers,
Brent


BrentGMATPrepNow, For I & II, are below calculations correct too?
I, s=2t
0=2t/s

II, s=2t
s-t=2t-t
s-t = t
s-t/t = 0
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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
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Re: If s/t = 2, then the value of which of the following can be determined [#permalink]
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