Hi There,
I'm new and this is my first post. Im stuck on a question, which looks easy but I am having trouble understanding what its asking. The questions is:
"If [x] denotes the greatest integer less than or equal to x, is [x] = 0?
1) 5x + 1 = 3 + 2x
2) 0 < X < 1
I know in statement 1 x is 2/3 but don't understand the question. The answer is D. Can anyone help?
Thanks!
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Data Sufficiency Problem..
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logitech
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"If [x] denotes the greatest integer less than or equal to x, is [x] = 0?
1) 5x + 1 = 3 + 2x
3x=2 so X is 2/3. 0.6
0 ... 0.6.......1
[x] denotes the greatest integer less than or equal to x
So yes [x] can be 0 SUF
2) 0 < X < 1
Same logic with the first statement
0......x........1
[x] denotes the greatest integer less than or equal to x
1) 5x + 1 = 3 + 2x
3x=2 so X is 2/3. 0.6
0 ... 0.6.......1
[x] denotes the greatest integer less than or equal to x
So yes [x] can be 0 SUF
2) 0 < X < 1
Same logic with the first statement
0......x........1
[x] denotes the greatest integer less than or equal to x
LGTCH
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odod
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If [x] denotes the greatest integer less than or equal to x,
Does [x] mean absolute value?
Im just trying to make sense of the question; im trying to sub [x] with a number
So does [9] denote the greatest integer less than or equal to 9? i dont get it..
I think im overlooking something really simple here; let me know if you see it.
Does [x] mean absolute value?
Im just trying to make sense of the question; im trying to sub [x] with a number
So does [9] denote the greatest integer less than or equal to 9? i dont get it..
I think im overlooking something really simple here; let me know if you see it.
ODOD
Here the question is - "IS [X]=0" ?
You have to answer yes or no.
Firstly you know if x is between -1 and 0 then only [X]=0 or else it will be
[X] not equal to 0.
1) x=0.6 ( Our answer No , it is not 0 )
2) x between 0 and 1 ( Our answer No, it is not 0 )
So in both cases you are able to answer (without doubts) So we can answer the question with any given condition- D
You have to answer yes or no.
Firstly you know if x is between -1 and 0 then only [X]=0 or else it will be
[X] not equal to 0.
1) x=0.6 ( Our answer No , it is not 0 )
2) x between 0 and 1 ( Our answer No, it is not 0 )
So in both cases you are able to answer (without doubts) So we can answer the question with any given condition- D
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Ian Stewart
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Yes, exactly: [9] is the greatest integer which is less than or equal to 9. What is the largest integer which is less than or equal to 9? It's 9. Essentially the [ ] function just rounds down to the nearest integer: [5.8] = 5, [17.1] = 17, [-0.3] = -1. The [ ] function is not in any way related to absolute value.odod wrote:If [x] denotes the greatest integer less than or equal to x,
Does [x] mean absolute value?
Im just trying to make sense of the question; im trying to sub [x] with a number
So does [9] denote the greatest integer less than or equal to 9? i dont get it..
Now, in the question, from the first statement you can get a numerical answer for x, so you can certainly answer any question about x (even if you don't understand what the [ ] does precisely, hopefully it's clear that this statement is sufficient). The second statement tells us that 0 < x < 1, and if this is true, no matter what x is, [x] will round down to 0.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com
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Hi,Ian Stewart wrote:Yes, exactly: [9] is the greatest integer which is less than or equal to 9. What is the largest integer which is less than or equal to 9? It's 9. Essentially the [ ] function just rounds down to the nearest integer: [5.8] = 5, [17.1] = 17, [-0.3] = -1. The [ ] function is not in any way related to absolute value.odod wrote:If [x] denotes the greatest integer less than or equal to x,
Does [x] mean absolute value?
Im just trying to make sense of the question; im trying to sub [x] with a number
So does [9] denote the greatest integer less than or equal to 9? i dont get it..
Now, in the question, from the first statement you can get a numerical answer for x, so you can certainly answer any question about x (even if you don't understand what the [ ] does precisely, hopefully it's clear that this statement is sufficient). The second statement tells us that 0 < x < 1, and if this is true, no matter what x is, [x] will round down to 0.
I came across this question in OG12 as well. While I managed to solve the question correctly, reading the official answer explanation has confused me.
It says "It will be useful to observe that the condition [x] = 0 is equivalent to 0 ≤ x < 1." How?? I don't understand!
Can someone please help me understand how [x] = 0 is equivalent to 0 ≤ x < 1 .. Thanks!!
