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.
Set $M$ contains numbers that satisfy the condition that, if integer x
[#permalink]
18 Mar 2025, 01:13
18 Mar 2025, 01:13
Expert Reply
1
Bookmarks
00:00
Question Stats:
0% (00:00) correct
100% (01:02) wrong based on 2 sessions
Hide Show timer Statistics
Set $M$ contains numbers that satisfy the condition that, if integer x is in the set then $\(x+3\)$ will also be in the set $M$. If -4 is one value in the set, which of the following values must also be present in the set $M$ ?
I. \(-7\)
II. \(-1\)
III \(2\)
(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II, and III
I. \(-7\)
II. \(-1\)
III \(2\)
(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II, and III
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2025 NEW Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: Set $M$ contains numbers that satisfy the condition that, if integer x
[#permalink]
22 Mar 2025, 04:15
22 Mar 2025, 04:15
Expert Reply
OFFICIAL EXPLANATION
We know that set $M$ contains numbers that satisfy the condition that, if integer $x$ is in the set then $x+3$ will also be in the set $M$ in other words we can say that if an elements ' $a$ ' is there in the set all other elements that are multiple of 3 steps away from ' $a$ ' i.e. $a+3 k$, where $k$ is any positive integer, would also be there in the set.
We know that -4 is there in set M ; we need to check that which of the given numbers must also be present in set M.
I. -7 - which might not be there in the set as the set may start with the minimum value of -4 only.
II. -1 - which must be there as $-4+3=-1$
III. 2 - which must be there as $-4+3=-1 \&-1+3=2$ or we can say $-4+2 \times 3=-4+6=2$
Hence only II \& III numbers must be there in the set M, so the answer is (D).
We know that set $M$ contains numbers that satisfy the condition that, if integer $x$ is in the set then $x+3$ will also be in the set $M$ in other words we can say that if an elements ' $a$ ' is there in the set all other elements that are multiple of 3 steps away from ' $a$ ' i.e. $a+3 k$, where $k$ is any positive integer, would also be there in the set.
We know that -4 is there in set M ; we need to check that which of the given numbers must also be present in set M.
I. -7 - which might not be there in the set as the set may start with the minimum value of -4 only.
II. -1 - which must be there as $-4+3=-1$
III. 2 - which must be there as $-4+3=-1 \&-1+3=2$ or we can say $-4+2 \times 3=-4+6=2$
Hence only II \& III numbers must be there in the set M, so the answer is (D).
gmatclubot
Re: Set $M$ contains numbers that satisfy the condition that, if integer x [#permalink]
22 Mar 2025, 04:15
Moderators:
