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If [p] is defined as the smallest integer greater than or equal to p,
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17 Sep 2018, 11:42
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If [p] is defined as the smallest integer greater than or equal to p, is [p] < 0? (1) p ≥ 0 (2) p ≤ 1
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Re: If [p] is defined as the smallest integer greater than or equal to p,
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17 Sep 2018, 13:10
GmatDaddy wrote: If [p] is defined as the smallest integer greater than or equal to p, is [p] < 0?
(1) p ≥ 0
(2) p ≤ 1
\(\left[ p \right] = \min \left\{ {n\,\,\operatorname{int} \,\,\,:\,\,n \geqslant  p} \right\}\) \(\left[ p \right]\mathop < \limits^? 0\) \(\left( {1 + 2} \right)\,\,\,\,0 \leqslant p \leqslant 1\,\,\,\,\left\{ \begin{gathered} \,{\text{Take}}\,\,p = 0\,\,\,\, \Rightarrow \,\,\,\,\,\,\left[ p \right] = 0\,\,\,\, \Rightarrow \,\,\,\,\,\,\left\langle {{\text{NO}}} \right\rangle \,\,\,\,\,\, \hfill \\ \,{\text{Take}}\,\,p = 1\,\,\,\, \Rightarrow \,\,\,\,\,\,\left[ p \right] =  1\,\,\,\, \Rightarrow \,\,\,\,\,\,\left\langle {{\text{YES}}} \right\rangle \,\,\,\,\,\, \hfill \\ \end{gathered} \right.\) This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
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Re: If [p] is defined as the smallest integer greater than or equal to p,
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17 Sep 2018, 21:51
Lets discuss for statement 1 only : For any Value of P>= 0, [P] will be negative.. I will go for A.



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Re: If [p] is defined as the smallest integer greater than or equal to p,
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18 Sep 2018, 03:40
6697 wrote: Lets discuss for statement 1 only : For any Value of P>= 0, [P] will be negative.. I will go for A. Hi, 6697! Please pay attention to the definition of [p], mathematically explained as I presented: \(\left[ p \right] = \min \left\{ {n\,\,\operatorname{int} \,\,\,:\,\,n \geqslant  p} \right\}\) If p=1, for instance, we look for the minimum value of \(\left\{ {n\,\,\operatorname{int} \,\,\,:\,\,n \geqslant  1} \right\}\) ... The minimum value will be 1, hence [p] will be negative. On the other hand, when p=0, we look for the minimum value of \(\left\{ {n\,\,\operatorname{int} \,\,\,:\,\,n \geqslant 0=0} \right\}\) ... In this case, [p] will be zero, therefore nonnegative. (Check that [2] equals 2, and that [2.5] equals 3, to verify you understood the definition of [p] without any doubt!) I hope the definition of [p] is now clear. Regards, Fabio.
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If [p] is defined as the smallest integer greater than or equal to p,
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18 Sep 2018, 06:19
Question: If [p] is defined as the smallest integer greater than or equal to p, is [p] < 0?
(1) p ≥ 0
No, sufficient. However...
(2) p ≤ 1
2 alone is not sufficient as it could be 1, which is >0 , nil if 0 or negative if < 0.
Combining both we assume that p could be 0 or 1, which is not < 0. I would go for C...



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If [p] is defined as the smallest integer greater than or equal to p,
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18 Sep 2018, 10:14
Hi iamzywCombining Statement 1 & 2, as you derived correctly p could be 0 or 1, Now if p = 0, p= 0. hence [p] =0 If p =1, p = 1. hence [p] = 1 Hence even after combing statement 1 & 2 , it is insufficient to say whether [p] <0 Hence Answer = E
iamzyw wrote: Question: If [p] is defined as the smallest integer greater than or equal to p, is [p] < 0?
(1) p ≥ 0
No, sufficient. However...
(2) p ≤ 1
2 alone is not sufficient as it could be 1, which is >0 , nil if 0 or negative if < 0.
Combining both we assume that p could be 0 or 1, which is not < 0. I would go for C...
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Re: If [p] is defined as the smallest integer greater than or equal to p,
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18 Sep 2018, 10:18




Re: If [p] is defined as the smallest integer greater than or equal to p, &nbs
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