GRE Prep 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.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
If n is an integer and also a multiple of 3
[#permalink]
17 Nov 2025, 04:41
17 Nov 2025, 04:41
1
Expert Reply
00:00
Question Stats:
77% (00:50) correct
22% (01:26) wrong based on 18 sessions
Hide Show timer Statistics
If n is an integer and also a multiple of 3 , which of the following must be a multiple of 12?
Indicate all such integers.
(A) \(3 n\)
(B) 4\( n\)
(C) \(n^2+12\)
(D) \(12 n\)
Indicate all such integers.
(A) \(3 n\)
(B) 4\( n\)
(C) \(n^2+12\)
(D) \(12 n\)
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
If n is an integer and also a multiple of 3
[#permalink]
10 Dec 2025, 11:22
10 Dec 2025, 11:22
Expert Reply
Let $\(n=3 k\)$ for some integer $k$.
Test each expression
- (A) $\(3 n=9 k\)$.
$\(9 k\)$ is not always a multiple of 12 (e.g., \($k=1 \Rightarrow 9\)$ ), so not required.
- (B) $\(4 n=12 k\)$.
$\(12 k\)$ is always a multiple of 12 , so this must be a multiple of 12 .
- (C) $\(n^2+12=9 k^2+12\)$.
For $\(k=1\)$, this is $\(9+12=21\)$, not a multiple of 12 , so not required.
- (D) $12 n=36 k$.
$\(36 k\)$ is always a multiple of 12 , so this must be a multiple of 12 .
Correct choices: (B) and (D).
Test each expression
- (A) $\(3 n=9 k\)$.
$\(9 k\)$ is not always a multiple of 12 (e.g., \($k=1 \Rightarrow 9\)$ ), so not required.
- (B) $\(4 n=12 k\)$.
$\(12 k\)$ is always a multiple of 12 , so this must be a multiple of 12 .
- (C) $\(n^2+12=9 k^2+12\)$.
For $\(k=1\)$, this is $\(9+12=21\)$, not a multiple of 12 , so not required.
- (D) $12 n=36 k$.
$\(36 k\)$ is always a multiple of 12 , so this must be a multiple of 12 .
Correct choices: (B) and (D).
gmatclubot
If n is an integer and also a multiple of 3 [#permalink]
10 Dec 2025, 11:22
Moderators:
