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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

[b]For all z, [z] denotes the least integer greater than or equal to z. so if [x+0.5] =1, x+0.5 has to be between 0 and 1 including 1.. if x+0.5 is between -0.999999 and 0, inclusive, then [x+0.5] =0.. basically what ever is betwen [] takes the higher integer value or same value if it is integer...
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Could you please explain the logic for the statement 2 .I understood [z] denotes the least integer greater than or equal to z is meant by −1<x≤0.

"Least integer greater than or equal to z implies that [z] >= z but [z] takes the least value that it can.

So if z = 0.3, [z] = 1 If z = 1.98, [z] = 2

Ques: Is [x] = 0? When will [x] be 0? When -1 < x <= 0 So we need to know whether -1 < x <= 0?

Stmnt 2: [x + 0.5] = 1

Say, x + 0.5 = z Given: [z] = 1 If [z] = 1, then we know that 0 < z <= 1. Note that if z is 0, [z] = 0. If z > 1, then [z] > 1 too.

This implies that 0 < x + 0.5 <= 1 Subtracting 0.5 from the inequality, we get -0.5 < x <= 0.5 We know that x lies between -0.5 and 0.5. Some of these values lie in the -1 to 0 range and some do not. Hence we can't say whether x will lie in the -1 to 0 range. Not sufficient alone.
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Re: For all z, [z] denotes the least integer greater than or equ [#permalink]

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22 Feb 2017, 15:37

Okay has anyone actually seen a question like this on the actual GMAT? Maybe I'm crazy, but with Kaplan for example, there were lots of practice questions that did not prepare me for the actual GMAT. On the QA of the actual GMAT I took, there were much more questions like those on Veritas' prep CAT's- lots of exponents, lots of algebra, lots of functions

Okay has anyone actually seen a question like this on the actual GMAT? Maybe I'm crazy, but with Kaplan for example, there were lots of practice questions that did not prepare me for the actual GMAT. On the QA of the actual GMAT I took, there were much more questions like those on Veritas' prep CAT's- lots of exponents, lots of algebra, lots of functions

This question is from the Official Quant guide. So you could definitely see something like this in the actual GMAT.
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No. The stem introduces a function [], which rounds UP a number to the nearest integer. For example [1.5]=2, [2]=2, [-1.5]=-1, ... The second statement also has the same function.
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