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GMAT Diagnostic Test Question 16

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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 04 Apr 2011, 00:14
Thank you and I think I should blame my negligence.

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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 13 May 2011, 06:22
Generally people mistake in the second statement , where one uses one's direct primary school concept where if bases are equal , then power has to be the same...... and thus p=1........... is not taken into consideration..
very tricky sum...
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 13 May 2011, 06:41
a gives -1,0,1
b gives 1,2 as 0^0 is not defined.

together p=1.
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 19 May 2011, 05:55
Can someone explain why p cannot equal to -1 for statement b? (-1) ^ (-1) = (-1)^2...1=1...
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 19 May 2011, 07:32
Mahtab wrote:
Can someone explain why p cannot equal to -1 for statement b? (-1) ^ (-1) = (-1)^2...1=1...


Because,
(-1)^{(-1)} \ne (-1)^2

LHS:
(-1)^{(-1)}=\frac{1}{(-1)^1}=\frac{1}{-1}=-1 [Note: x^(-m)=1/x^(m) AND x^1=x]

RHS:
(-1)^2=1. [Note: -1 raised to the positive even is +1]
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 19 May 2011, 07:50
fluke wrote:
Mahtab wrote:
Can someone explain why p cannot equal to -1 for statement b? (-1) ^ (-1) = (-1)^2...1=1...


Because,
(-1)^{(-1)} \ne (-1)^2

LHS:
(-1)^{(-1)}=\frac{1}{(-1)^1}=\frac{1}{-1}=-1 [Note: x^(-m)=1/x^(m) AND x^1=x]

RHS:
(-1)^2=1. [Note: -1 raised to the positive even is +1]



Thanks a lot!! Silly me! Should've written it down on paper.
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 20 Oct 2011, 06:37
Hi there,
I had my problems with this problem too and chose Statement E since I could not figure out whether it's 0 or 1. Since this is a diagnostic test and many people haven't heard of the fact that GMAT might not test neither 0^0 nor 0! why don't we rephrase the question to:

If p is a non-zero integer, what is the value of p?


This is actually a way which is used quite often in the Official Guide.
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 06 Jul 2012, 15:56
Bunuel wrote:
TheBirla wrote:
How do i know what is not tested in GMAT ? I.e. 0^0. Is there a definitive list of things like this which are likely to throw you off ? (Not that the outcome of the problem changes, but it very well could in other problems). Thanks.


0^0, in some sources equals to 1, some mathematicians say it's undefined. Anyway you won't need this for GMAT because the case of 0^0 is not tested on the GMAT: http://www.manhattangmat.com/np-exponents.cfm

The fact that this concept is not tested on the GMAT means that you won't encounter a problem on the GMAT in which you should decide what 0^0 is equal to. So for example if there will be x^x in the problem then somehow the possibility of x being zero will be excluded, for example by saying that x is positive integer or by simply saying that x doesn't equal to zero.


So is this question valid anymore, if 0^0 is not tested???

(A) give me 3 values {-1,0,1}
(B) gives 3 values {0,1,2}
if we say 0^0 is not tested in the GMAT, then when p=0 the condition 0^0 = 0^2 should not be considered????

(C) therefore from A & B
P = {0,1}
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 07 Jul 2012, 01:02
TheBirla wrote:
How do i know what is not tested in GMAT ? I.e. 0^0. Is there a definitive list of things like this which are likely to throw you off ? (Not that the outcome of the problem changes, but it very well could in other problems). Thanks.


It is not about whether 0^0 is tested or not on GMAT!
0^0 is not a number! You can use the term undefined or indeterminate.

For convenience, sometimes it is defined as 1, just to express some formulas simply, especially when computer coded.
If you need a more mathematical discussion of the topic, see for example:
http://mathworld.wolfram.com/Zero.html

Of course, you don't need to be a mathematician to do the GMAT quant ... it just happens that I am a mathematician.

So, for the GMAT purposes, you can be sure that 0^0 is not a number and treat it as such. The same holds for the division by 0.
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 21 Nov 2012, 07:18
Tricky question, because I did not know that 0^0 cannot be determined and therefore I thought the answer was E. But you now for sure that 0^0 will not be tested on the GMAT
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 14 Feb 2013, 18:31
How are we supposed to know that 0 isn't tested on the GMAT? 0^0 = 0^2, so this should work. And therefore, 0 or 1 could be the answer so answer to problem should be E, no?
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 26 Feb 2013, 01:12
Hi guys,

I chose E answer. Before I read this topic, as many of the forum's members I had got 1, -1, 0 values from the statement 1 and 1, 0, 2 from the statement 2. Now as we know that 0^0 is not tested on the GMAT, why this question is still not corrected, for example this way: If p is an integer and not equal to zero, what is the value of p?
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 22 Aug 2013, 06:26
bb wrote:
GMAT Diagnostic Test Question 15
Field: Modules, Powers
Difficulty: 750
Rating:



If p is an integer, what is the value of p?

1. (|p|!)^p = |p|!
2. p^p = p^2


Few questions are different from online diagnostic to threads..
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Re: GMAT Diagnostic Test Question 15 [#permalink] New post 22 Aug 2013, 06:28
Expert's post
prateekbhatt wrote:
bb wrote:
GMAT Diagnostic Test Question 15
Field: Modules, Powers
Difficulty: 750
Rating:



If p is an integer, what is the value of p?

1. (|p|!)^p = |p|!
2. p^p = p^2


Few questions are different from online diagnostic to threads..


Yes, some questions were replaced with better ones. We'll update the thread soon. Thank you.
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Re: GMAT Diagnostic Test Question 15   [#permalink] 22 Aug 2013, 06:28
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