Last visit was: 06 Nov 2024, 07:10 It is currently 06 Nov 2024, 07:10
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
Sub 505 Level|   Inequalities|                           
User avatar
nalinnair
Joined: 09 Jan 2016
Last visit: 06 Oct 2023
Posts: 107
Own Kudos:
3,869
 [20]
Given Kudos: 94
Status:Persevere
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
Products:
GMAT 1: 750 Q50 V41
Posts: 107
Kudos: 3,869
 [20]
3
Kudos
Add Kudos
17
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
unverifiedvoracity
Joined: 12 Jan 2016
Last visit: 14 Aug 2017
Posts: 56
Own Kudos:
76
 [7]
Given Kudos: 71
Location: United States
Concentration: Operations, General Management
GMAT 1: 690 Q49 V35
GPA: 3.5
WE:Supply Chain Management (Consumer Electronics)
GMAT 1: 690 Q49 V35
Posts: 56
Kudos: 76
 [7]
5
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
General Discussion
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,126
Own Kudos:
17,612
 [1]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,126
Kudos: 17,612
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 05 Nov 2024
Posts: 19,689
Own Kudos:
Given Kudos: 287
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,689
Kudos: 23,746
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nalinnair
Is k + m < 0 ?


(1) k < 0
(2) km > 0


(DS09260)
Solution:

Question Stem Analysis:


We need to determine whether k + m < 0.

Statement One Alone:

We are given that the value of k is negative. However, without knowing anything about the value of m, we can’t determine whether k + m < 0. Statement one alone is not sufficient.

Statement Two Alone:

We are given that the value of km is positive, which means either k and m are both positive or they are both negative. If they are both positive, then k + m is not less than 0. On the other hand, if they are both negative, then k + m is less than 0. Statement two is not sufficient.

Statements One and Two Together:

From statement one, we know that k is negative. From statement two, we know that km > 0. Thus, m must also be negative. Since both k and m are negative, we see that k + m is indeed less than 0. Both statements are sufficient.

Answer: C
avatar
sahuanamika
Joined: 22 May 2021
Last visit: 05 Oct 2021
Posts: 47
Own Kudos:
19
 [1]
Given Kudos: 107
Posts: 47
Kudos: 19
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Here instead of taking cases we can only consider what sign will hold the equation :
Is k + m < 0 ?
this means is
1) k and m both are -ve
2) one is neg and its magnitude is greater than the +ve one

(1) k < 0 : this means k is -ve but we don't know about m which can be -ve or +ve - Not sufficient.
(2) km > 0 : this means both are having same sign either +ve or -ve - Not sufficient.

(1) &(2) : combine give me k is -ve and km > 0 means m has to be -ve
so both are -ve -- Sufficient as per 1) condition.

And C
User avatar
MasteringGMAT
Joined: 14 Feb 2022
Last visit: 01 Sep 2024
Posts: 79
Own Kudos:
Given Kudos: 69
Concentration: General Management, Strategy
Posts: 79
Kudos: 1,516
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Can this question be solved algebraically?
User avatar
jaydavido
Joined: 13 Dec 2022
Last visit: 31 Jul 2023
Posts: 12
Given Kudos: 39
Posts: 12
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ScottTargetTestPrep
nalinnair
Is k + m < 0 ?


(1) k < 0
(2) km > 0


(DS09260)
Solution:

Question Stem Analysis:


We need to determine whether k + m < 0.

Statement One Alone:

We are given that the value of k is negative. However, without knowing anything about the value of m, we can’t determine whether k + m < 0. Statement one alone is not sufficient.

Statement Two Alone:

We are given that the value of km is positive, which means either k and m are both positive or they are both negative. If they are both positive, then k + m is not less than 0. On the other hand, if they are both negative, then k + m is less than 0. Statement two is not sufficient.

Statements One and Two Together:

From statement one, we know that k is negative. From statement two, we know that km > 0. Thus, m must also be negative. Since both k and m are negative, we see that k + m is indeed less than 0. Both statements are sufficient.

Answer: C


why can't I assume from the question that k < 0-m and B would be sufficient?
Moderator:
Math Expert
96605 posts