GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Nov 2018, 12:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50730
If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s  [#permalink]

### Show Tags

12 Oct 2017, 03:15
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:51) correct 11% (01:22) wrong based on 76 sessions

### HideShow timer Statistics

If rs ≠ 0, is t an integer?

(1) t = 3r – 2s
(2) r = s

_________________
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s  [#permalink]

### Show Tags

12 Oct 2017, 07:12
Bunuel wrote:
If rs ≠ 0, is t an integer?

(1) t = 3r – 2s
(2) r = s

Statement 1: if $$r$$ & $$s$$ are integers then $$t$$ is integer, if not then $$t$$ may or may not be an integer. hence insufficient

Statement 2: no information about $$t$$. Hence insufficient

Combining 1 & 2 we get $$t=3r-2r=r$$, if $$r$$ is an integer then $$t$$ is an integer if not then $$t$$ is not an integer. Hence insufficient

Option E
SVP
Joined: 26 Mar 2013
Posts: 1891
Re: If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s  [#permalink]

### Show Tags

12 Oct 2017, 22:58
Bunuel wrote:
If rs ≠ 0, is t an integer?

(1) t = 3r – 2s
(2) r = s

(2) r = s

Insufficient

(1) t = 3r – 2s

Let r = s = 1....t = 1.............Answer is Yes

Let r = s = 1/2..t = 1/2.............Answer is No

Insufficient

Combine 1 & 2

Insufficient

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s  [#permalink]

### Show Tags

27 Nov 2017, 18:16
Bunuel wrote:
If rs ≠ 0, is t an integer?

(1) t = 3r – 2s
(2) r = s

Statement One Alone:

t = 3r – 2s

If r = 1 and s = 1, then 3r - 2s = 1 and t is an integer; however, if r = 1/2 and s = 1, then 3r - 2s = -0.5 and t is not an integer. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

r = s

Since statement two does not provide any information regarding t, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the statements together, we have t = 3r - 2r, or t = r. However, since we do not know whether r is an integer, we cannot determine whether t is an integer.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s &nbs [#permalink] 27 Nov 2017, 18:16
Display posts from previous: Sort by