Last visit was: 11 Dec 2024, 15:36 It is currently 11 Dec 2024, 15:36
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 11 Dec 2024
Posts: 97,815
Own Kudos:
685,144
 [1]
Given Kudos: 88,242
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,815
Kudos: 685,144
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
nishantt7
Joined: 05 May 2016
Last visit: 09 Feb 2021
Posts: 48
Own Kudos:
22
 [1]
Given Kudos: 150
Status:Preparing
Location: India
Concentration: International Business, Finance
Posts: 48
Kudos: 22
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
ashudhall
Joined: 27 Mar 2016
Last visit: 26 Jan 2021
Posts: 74
Own Kudos:
66
 [1]
Given Kudos: 4
GMAT 1: 590 Q44 V22
GMAT 1: 590 Q44 V22
Posts: 74
Kudos: 66
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
BrentGMATPrepNow
User avatar
GMAT Club Legend
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,786
Own Kudos:
Given Kudos: 799
Location: Canada
Expert reply
Posts: 6,786
Kudos: 32,178
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Suppose 3p + 4q = 11. Then what is the value of q?

(1) p is prime.
(2) q = –2p

Target question: What is the value of q?

Given: 3p + 4q = 11

Statement 1: p is prime
Let's test some cases:
Case a: p = 2. Take 3p + 4q = 11 and replace p with 2 to get: 3(2) + 4q = 11. When we solve this, we get q = 1.25
Case b: p = 3. Take 3p + 4q = 11 and replace p with 2 to get: 3(3) + 4q = 11. When we solve this, we get q = 0.5
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: q = –2p
Divide both sides by -2 to get: p = -0.5q
Now take 3p + 4q = 11 and replace p with 0.5q to get: 3(-0.5q) + 4q = 11.
Expand: -1.5q + 4q = 11
Simplify: 2.5q = 11
Solve: q = 4.4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:
Cheers,
Brent
User avatar
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 31 Mar 2021
Posts: 1,178
Own Kudos:
Given Kudos: 459
Location: India
Posts: 1,178
Kudos: 2,646
Kudos
Add Kudos
Bookmarks
Bookmark this Post
3p+4q=11. What is q?

Statement 1. p is prime. so p can be 2, 3, 5, 7, 11, ...
with every new value of p, there will be a new value of q. Infinite values possible. Insufficient

Statement 2. q=-2p Or p=-q/2
We can substitute this in original equation. 3(-q/2) + 4q = 11
5q/2 = 11 or q=22/5. Sufficient

Hence B answer
User avatar
utkarshthapak
Joined: 09 Dec 2015
Last visit: 30 Sep 2018
Posts: 96
Own Kudos:
Given Kudos: 48
Location: India
Concentration: General Management, Operations
Schools: IIMC  (A)
GMAT 1: 700 Q49 V36
GPA: 3.5
WE:Engineering (Consumer Packaged Goods)
Products:
Schools: IIMC  (A)
GMAT 1: 700 Q49 V36
Posts: 96
Kudos: 49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Straight forward,

S1, p can be any prime no. which can give infinite values of q. Insufficient.
S2, q = -2p will give a definite value of p and q. Sufficient.

Option B is correct.
Moderator:
Math Expert
97815 posts