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Re: GMAT Diagnostic Test Question 15 [#permalink]
 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]
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]
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]
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]
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)^2LHS: (-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]
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)^2LHS: (-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]
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]
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.cfmThe 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]
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.htmlOf 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]
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]
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]
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]
26 Feb 2013, 02:12
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