Forum Home > GMAT > Quantitative > Problem Solving (PS)
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.
Jul 2710:00 AM PDT
-11:00 AM PDT
Are you struggling with the GMAT verbal section? Do tricky questions and lengthy passages overwhelm you? Don't worry—I've got you covered! In this video, I'll provide a detailed, actionable plan to help you significantly boost your verbal score.
Jul 2508:00 AM EDT
-11:59 PM EDT
More and more TTP students are earning impressive scores on the GMAT. Now is the perfect time to join the many GMAT students who made the switch to TTP and surpassed their wildest expectations on test day.- Jul 28
10:00 AM PDT
-11:00 AM PDT
We will learn how to guess an answer choice better on the GMAT. If you are running out of time and want to guess on a few questions, these effective techniques will help you in making a smart guess. 
Jul 2811:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.- Jul 31
05:55 AM PDT
-12:30 PM PDT
MBA Application Walkthrough and Essay Review. You will have a chance to hear from experts covering the Top 15 MBA programs, covering details of the application and essays. 
Jul 3110:00 AM EDT
-11:59 PM PDT
Save 20% on Target Test Prep and Score in the 100th Percentile in GMAT Verbal! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
If y is an integer, is y a prime number of the form 4k-1, where k is a
[#permalink]
28 Nov 2023, 07:39
28 Nov 2023, 07:39
Show timer
00:00
A
B
C
D
E
Difficulty:
85%
(hard)
Question Stats:
42% (02:31) correct
58%
(02:40)
wrong
based on 31
sessions
If y is an integer, is y a prime number of the form 4k-1, where k is a positive integer
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
If y is an integer, is y a prime number of the form 4k-1, where k is a
[#permalink]
28 Nov 2023, 14:54
28 Nov 2023, 14:54
Syumbel1 wrote:
If y is an integer, is y a prime number of the form 4k-1, where k is a positive integer
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
1) (7y^9+6)^2/4 is an integer
\(\frac{49y^{18} +36 +84y^9}{4} =\) Integer
Hence \(y\) must be divisible by \(4\)
If \(y\) is divisble by \(4\) then \(y \) is not a prime
SUFF.
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
\(1\) is neither prime nor composite
Hence (7y^5-222)^2/8 =1
We can solve for \(y.\)
SUFF.
Ans D
Hope it helped.
Re: If y is an integer, is y a prime number of the form 4k-1, where k is a
[#permalink]
21 Dec 2023, 21:02
21 Dec 2023, 21:02
stne wrote:
Syumbel1 wrote:
If y is an integer, is y a prime number of the form 4k-1, where k is a positive integer
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
1) (7y^9+6)^2/4 is an integer
\(\frac{49y^{18} +36 +84y^9}{4} =\) Integer
Hence \(y\) must be divisible by \(4\)
If \(y\) is divisble by \(4\) then \(y \) is not a prime
SUFF.
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
\(1\) is neither prime nor composite
Hence (7y^5-222)^2/8 =1
We can solve for \(y.\)
SUFF.
Ans D
Hope it helped.
Plz explain statement 1 again as i fail to understand what we consider here.
