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Re: Data sufficiency - Inequalities and basic equation [#permalink]

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26 Apr 2011, 12:32

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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