Last visit was: 24 Jan 2025, 23:44 It is currently 24 Jan 2025, 23:44
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
505-555 Level|   Algebra|                  
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Jan 2025
Posts: 98,998
Own Kudos:
Given Kudos: 91,910
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 98,998
Kudos: 696,408
 [38]
4
Kudos
Add Kudos
33
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Jan 2025
Posts: 98,998
Own Kudos:
696,408
 [9]
Given Kudos: 91,910
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 98,998
Kudos: 696,408
 [9]
3
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
General Discussion
User avatar
liranmaymoni
Joined: 30 Jan 2014
Last visit: 12 Mar 2015
Posts: 13
Own Kudos:
171
 [1]
Given Kudos: 4
Posts: 13
Kudos: 171
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
NoHalfMeasures
User avatar
Retired Moderator
Joined: 29 Oct 2013
Last visit: 11 Jul 2023
Posts: 220
Own Kudos:
2,187
 [3]
Given Kudos: 204
Concentration: Finance
GPA: 3.7
WE:Corporate Finance (Retail Banking)
Posts: 220
Kudos: 2,187
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
No calculations approach:

If t#0, is r greater than zero?

(1) rt = 12
(2) r + t = 7

St1: Both r and t could be positive or both r and t could be negative. Not Suff
St2: Both r and t could be positive or either of r and t could be negative. Not Suff

1+2 --> common possibility is both r and t are positive. So r is positive i.e. greater than 0.
Ans:C
User avatar
achloes
Joined: 16 Oct 2020
Last visit: 20 Jan 2025
Posts: 254
Own Kudos:
Given Kudos: 2,383
GMAT 1: 460 Q28 V26
GMAT 2: 550 Q39 V27
GMAT 3: 610 Q39 V35
GMAT 4: 650 Q42 V38
GMAT 5: 720 Q48 V41
GMAT 5: 720 Q48 V41
Posts: 254
Kudos: 190
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u Bunuel

When I combined statements 1 and 2, I turned statement 2 into a quadratic equation but ending up with insufficiency.

Please let me know what I'm doing wrong?

S2) r+t = 7

(r+t)^2 = 7^2

r^2 + 2rt + t^2 = 49

Since according to S1) rt = 12..

r^2 + 2(12) + t^2 = 49

r^2 + t^2 = 49 - 24

r^2 + t^2 = 25

In this case, r can take on 3 or -3 and t can take on 4 or -4, therefore insufficient?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Jan 2025
Posts: 98,998
Own Kudos:
696,408
 [1]
Given Kudos: 91,910
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 98,998
Kudos: 696,408
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
achloes
chetan2u Bunuel

When I combined statements 1 and 2, I turned statement 2 into a quadratic equation but ending up with insufficiency.

Please let me know what I'm doing wrong?

S2) r+t = 7

(r+t)^2 = 7^2

r^2 + 2rt + t^2 = 49

Since according to S1) rt = 12..

r^2 + 2(12) + t^2 = 49

r^2 + t^2 = 49 - 24

r^2 + t^2 = 25

In this case, r can take on 3 or -3 and t can take on 4 or -4, therefore insufficient?

The problem with your solution is that you are not solving for r. There are already two equations containing both r and t. Introducing another equation with r and t, which requires guessing the value of r, would serve no purpose. Rather than resorting to guesswork, we should aim to determine the single numerical value of r, if possible.
User avatar
KanikaJain
Joined: 06 Jan 2021
Last visit: 24 Jan 2025
Posts: 66
Own Kudos:
Given Kudos: 16
Location: India
Concentration: Finance, Human Resources
GMAT 1: 610 Q50 V23
GPA: 4
Products:
GMAT 1: 610 Q50 V23
Posts: 66
Kudos: 37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If t≠0, is r greater than zero?

(1) rt = 12
(2) r + t = 7

Statement 1:
r = -3, t = -4
r = 3, t = 4


Statement 2:
r = -6, t = 13
r = 6, t =1

Combining: r^2 -7r + 12 = 0. Thus r = 3, 4

Thus C
Moderator:
Math Expert
98998 posts