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[z] represents the greatest integer value less than or equal to $z$.
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10 Mar 2025, 00:52
10 Mar 2025, 00:52
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33% (00:29) correct
66% (00:32) wrong based on 3 sessions
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[z] represents the greatest integer value less than or equal to $\(z\)$.
Quantity A |
Quantity B |
\([x]+[y]\) |
\( [x+y]\) |
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Re: [z] represents the greatest integer value less than or equal to $z$.
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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
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