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Multiples and exponents.

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Multiples and exponents.  [#permalink]

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New post 15 Feb 2019, 23:42
Question: Which is greater?

I: The number of multiples of 3 between 3^31 and 3^41
II: The number of multiples of 7 between 7^21 and 7^31
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Re: Multiples and exponents.  [#permalink]

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New post 16 Feb 2019, 07:37
rz12 wrote:
Question: Which is greater?

I: The number of multiples of 3 between 3^31 and 3^41
II: The number of multiples of 7 between 7^21 and 7^31


statement one alone: ((3^41)-(3^31))/3 is greater than what..? Statement ONE alone is NOT sufficient. Eliminate options AD
statement two alone: ((7^31) -(7^2))/7 is greater than what...? Statement TWOalone is NOT sufficient. Eliminate options B from BCE.

Statements one and two together (option C):
which is greater ((7^31) -(7^2))/7 OR ((3^41)-(3^31))/3?
This is the answer.

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Re: Multiples and exponents.  [#permalink]

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New post 16 Feb 2019, 11:16
This one is not the DS type question!
TheGraceful wrote:
rz12 wrote:
Question: Which is greater?

I: The number of multiples of 3 between 3^31 and 3^41
II: The number of multiples of 7 between 7^21 and 7^31


statement one alone: ((3^41)-(3^31))/3 is greater than what..? Statement ONE alone is NOT sufficient. Eliminate options AD
statement two alone: ((7^31) -(7^2))/7 is greater than what...? Statement TWOalone is NOT sufficient. Eliminate options B from BCE.

Statements one and two together (option C):
which is greater ((7^31) -(7^2))/7 OR ((3^41)-(3^31))/3?
This is the answer.

Please press kudos, if this has helped you.

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Re: Multiples and exponents.  [#permalink]

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New post 16 Feb 2019, 21:41
One part of the question stem seems to be missing .
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Re: Multiples and exponents.  [#permalink]

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New post 17 Feb 2019, 03:11
rz12 wrote:
Question: Which is greater?

I: The number of multiples of 3 between 3^31 and 3^41
II: The number of multiples of 7 between 7^21 and 7^31



In General,


You can solve it via AP

first term = 3^31 and last term 3^41
common difference = 3

find the total number of terms for both cases

You will see that the second one is much more than the first one


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Re: Multiples and exponents.   [#permalink] 17 Feb 2019, 03:11
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