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# If n is a positive integer and p = 3.021 10n, what is the

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If n is a positive integer and p = 3.021 10n, what is the [#permalink]  24 Apr 2011, 08:22
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30% (02:15) correct 70% (00:41) wrong based on 9 sessions
If n is a positive integer and p = 3.021 × 10n, what is the value of n?

1. 3,021 < p < 302,100
2. 103 < p < 105

If n is a positive integer and $$p = 3.021 * (10)^n$$, what is the value of n?
1. $$3,021 < p < 302,100$$
2. $$(10)^3 < p < (10)^5$$

Last edited by fluke on 28 Apr 2011, 02:18, edited 2 times in total.
Modifying the question to be correct
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Re: Data sufficiency - Inequalities and basic equation [#permalink]  26 Apr 2011, 11:32
If n is a positive integer and p = 3.021 × 10n, what is the value of n?

1. 3,021 < p < 302,100
2. 103 < p < 105

Are you asking for how to solve this? Here is how I would approach it

Look at it as p = 30.21*n

1. I would immediately see that setting n =100 would make p = 3021, so n>1000. Setting n = 10000 sets p = 302100.

Thus 100 > n > 10000 NOT SUFFICIENT

2. If we had n = 3 it would be ~90 , if we had n = 4 it would be ~120. Every other n would not work.

NOT SUFFICIENT

IMPORTANT:

This is not a valid DS question for the GMAT. The two options will never contradict each other. Option 2 clearly contradicts option 1. Option 1 allows for a giant range of values while option 2 implies there is no answer at all
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Re: Data sufficiency - Inequalities and basic equation [#permalink]  26 Apr 2011, 12:58
This isn't a GMAT question for sure!!

agdimple333 wrote:
If n is a positive integer and p = 3.021 × 10n, what is the value of n?

1. 3,021 < p < 302,100
2. 103 < p < 105

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Re: Data sufficiency - Inequalities and basic equation [#permalink]  27 Apr 2011, 12:54
agdimple333 wrote:
If n is a positive integer and p = 3.021 × 10n, what is the value of n?

1. 3,021 < p < 302,100
2. 103 < p < 105

agdimple333:
Is the actual question as follows?

If n is a positive integer and $$p = 3.021 * (10)^n$$, what is the value of n?

1. $$3,021 < p < 302,100$$
2. $$(10)^3 < p < (10)^5$$
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Re: Data sufficiency - Inequalities and basic equation [#permalink]  27 Apr 2011, 14:05
i think you are right. And now i think that i didnt get the answer because it was printed incorrect on pdf file tht i was reading.
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Re: Data sufficiency - Inequalities and basic equation [#permalink]  28 Apr 2011, 00:29
fluke wrote:
agdimple333 wrote:
If n is a positive integer and p = 3.021 × 10n, what is the value of n?

1. 3,021 < p < 302,100
2. 103 < p < 105

agdimple333:
Is the actual question as follows?

If n is a positive integer and $$p = 3.021 * (10)^n$$, what is the value of n?

1. $$3,021 < p < 302,100$$
2. $$(10)^3 < p < (10)^5$$

combining options 1 and 2, n can be either 3 or 4.
hence E.
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Re: Data sufficiency - Inequalities and basic equation [#permalink]  28 Apr 2011, 02:04
If n is a positive integer and $$p = 3.021 * (10)^n$$, what is the value of n?

1. $$3,021 < p < 302,100$$
2. $$(10)^3 < p < (10)^5$$

1.
$$3021=3.021*10^3$$
$$302100=3.021*10^5$$
$$3.021*10^3 < p < 3.021*10^5$$
$$3.021*10^3 < 3.021*10^4 < 3.021*10^5$$
n=4
Sufficient.

2. $$(10)^3 < p < (10)^5$$
$$1000 < p < 100000$$
p can be 3021 or 30210 making n=3 or n=4 respectively.
Not Sufficient.

Ans: "A"
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Re: Data sufficiency - Inequalities and basic equation   [#permalink] 28 Apr 2011, 02:04
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