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

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Wed Feb 26, 2020 4:09 pm

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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

Answer: C
Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Wed Feb 26, 2020 4:09 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

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

by Jay@ManhattanReview » Wed Feb 26, 2020 9:43 pm

BTGModeratorVI wrote: ↑
Wed Feb 26, 2020 4:09 pm
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

Answer: C
Source: Official Guide

So, we know that s/t = 2; thus, s = 2t

Let's analyze each statement by plugging-in the value of s = 2t.

I. 2t/s: 2t/2t = 1. The value can be determined.

II. (s – t)/t: (2t – t)/t = t/t = 1. The value can be determined.

III. (s – 1)/(t – 1): (2t – 1)/(t – 1). The value cannot be determined.

The correct answer: C

Hope this helps!

-Jay
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Manhattan Review

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swerve: Legendary Member; Posts: 2539; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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

by swerve » Thu Feb 27, 2020 11:37 am

BTGModeratorVI wrote: ↑
Wed Feb 26, 2020 4:09 pm
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

Answer: C
Source: Official Guide

Given $s=2t$, so

I. $2t/s =$ solve we get $1\,\Large{\color{green}\checkmark}$
II. $(s - t)/t =$ solve we get $1\,\Large{\color{green}\checkmark}$
III. $(s - 1)/(t - 1) =$ no value $\Large{\color{red}\chi}$

Therefore, C

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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

by Brent@GMATPrepNow » Thu Feb 27, 2020 4:00 pm

BTGModeratorVI wrote: ↑
Wed Feb 26, 2020 4:09 pm
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

Answer: C
Source: Official Guide

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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8142; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

by Scott@TargetTestPrep » Sat Feb 29, 2020 11:10 am

BTGModeratorVI wrote: ↑
Wed Feb 26, 2020 4:09 pm
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

Answer: C
Source: Official Guide

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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