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.
[z] represents the greatest integer value less than or equal to $z$.
[#permalink]
10 Mar 2025, 00:52
10 Mar 2025, 00:52
Expert Reply
00:00
Question Stats:
50% (00:29) correct
50% (00:19) wrong based on 2 sessions
Hide Show timer Statistics
[z] represents the greatest integer value less than or equal to $\(z\)$.
Quantity A |
Quantity B |
\([x]+[y]\) |
\( [x+y]\) |
- 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
Manager
Joined: 11 Nov 2023
Posts: 221
Given Kudos: 78
WE:Business Development (Advertising and PR)
Re: [z] represents the greatest integer value less than or equal to $z$.
[#permalink]
13 Mar 2025, 13:43
13 Mar 2025, 13:43
1
You can interpret Quantity A as rounding "down" both x and y to their nearest integers then adding them together, while Quantity B is rounding "down" their total after they've been added together.
Let's say x = 1.5 and y = 2
The greatest integer value less than or equal to 1.5 is 1
The greatest integer value less than or equal to 2 is 2
Thus, Quantity A = [1.5] + [2] = 1 + 2 = 3
The greatest integer value less than or equal to 2.5 is 2
Quantity B = [1.5 + 2] = [2.5] = 2
In this case, Quantity A > Quantity B.
However, let's say x = 2 and y = 2
Quantity A = [2] + [2] = 4
Quantity B = [2 + 2] = 4
Here, Quantity A = Quantity B.
Therefore, the answer is D.
Let's say x = 1.5 and y = 2
The greatest integer value less than or equal to 1.5 is 1
The greatest integer value less than or equal to 2 is 2
Thus, Quantity A = [1.5] + [2] = 1 + 2 = 3
The greatest integer value less than or equal to 2.5 is 2
Quantity B = [1.5 + 2] = [2.5] = 2
In this case, Quantity A > Quantity B.
However, let's say x = 2 and y = 2
Quantity A = [2] + [2] = 4
Quantity B = [2 + 2] = 4
Here, Quantity A = Quantity B.
Therefore, the answer is D.
gmatclubot
Re: [z] represents the greatest integer value less than or equal to $z$. [#permalink]
13 Mar 2025, 13:43
Moderators:
