Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
Updated on: 15 Mar 2023, 13:24
Originally posted by ChandlerBong on 15 Mar 2023, 09:09.
Last edited by Bunuel on 15 Mar 2023, 13:24, edited 3 times in total.
Last edited by Bunuel on 15 Mar 2023, 13:24, edited 3 times in total.
Renamed the topic and moved to DS forum.
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
35% (02:28) correct
65%
(02:43)
wrong
based on 51
sessions
History
Date
Time
Result
Not Attempted Yet
If p, q, and r are positive integers, is 7p + 9q - r^2 even ?
(1) 6p + q + 5r is an even integer
(2) 3p + 7q + 13r is an odd integer
(1) 6p + q + 5r is an even integer
(2) 3p + 7q + 13r is an odd integer
15 Mar 2023, 13:50
Kudos
Bookmarks
ChandlerBong
Question: Is \(7p + 9q - r^2\) even ?
The expression will be even under the following two conditions -
- p, q, and r are even
- Out of the three variables, p, q, and r, two variables are odd and one variable is even
With this pre-analysis done, let's move to the statements
Statement 1
(1) 6p + q + 5r is an even integer
6p + q + 5r = even
q + 5r = even - 6p
q + 5r = even
This statement holds true when both q and r are odd, and when both q and r are even.
However, we don't know the nature of p. p can be even or odd.
If p, q, and r are even ⇒ Answer to the quesiton Is \(7p + 9q - r^2\) even ? is Yes
If r, q are even and and p is odd ⇒ Answer to the quesiton Is \(7p + 9q - r^2\) even ? is No
As we have two contradicting answers to the question, the statement alone is not sufficient. We can eliminate A and D.
Statement 2
(2) 3p + 7q + 13r is an odd integer
3p + 7q + 13r = odd
The expression can be odd when
- Two terms are even and one term is odd.
- All the terms are odd
In both cases, the answer to the question Is \(7p + 9q - r^2\) even ? is No
The statement is sufficient.
Option B
30 Mar 2024, 12:21
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
