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# GMAT Diagnostic Test Question 16

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Manager
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Re: GMAT Diagnostic Test Question 15 [#permalink]

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04 Apr 2011, 01:14
Thank you and I think I should blame my negligence.

Regards
Rahul
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Re: GMAT Diagnostic Test Question 15 [#permalink]

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13 May 2011, 07:22
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]

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13 May 2011, 07:41
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]

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19 May 2011, 06:55
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]

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19 May 2011, 08:32
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]

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19 May 2011, 08:50
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]

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20 Oct 2011, 07:37
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]

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06 Jul 2012, 16:56
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]

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07 Jul 2012, 02:02
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]

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21 Nov 2012, 08:18
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]

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14 Feb 2013, 19:31
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]

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26 Feb 2013, 02:12
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]

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22 Aug 2013, 07:26
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]

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22 Aug 2013, 07:28
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, 07:28

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# GMAT Diagnostic Test Question 16

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