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Is 12.5% of a greater than 11?

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Is 12.5% of a greater than 11? [#permalink]

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New post 11 Jan 2018, 22:05
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Re: Is 12.5% of a greater than 11? [#permalink]

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Bunuel wrote:
Is 12.5% of a greater than 11?

(1) 1/9 of a is less than 11.
(2) 1/7 of a is less than 11.


To answer this question we need to know the value of a.
We'll look for an answer that gives us this information, a Logical approach.

(1) tells us that a is less than 99, meaning that 12.5% of a is less than (about) 12.5% of 100 = 12.5
Insufficient.

(2) tells us that a is less than 77, so 12.5% of a is less than (about) 12.5% of 80 = 10
Sufficient!

(B) is our answer.
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Is 12.5% of a greater than 11? [#permalink]

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New post 01 Feb 2018, 16:51
12.5% of a = 1/8 of a

Quote:
(1) 1/9 of a is less than 11.

This means 1/8 of a could be either less than 11 or more than 11 --> Insufficient

Quote:
(2) 1/7 of a is less than 11.

This implies that 1/8 must be less than 11. --> Sufficient

Answer: B

Hit kudos if this helped!

Last edited by mkdir on 02 Feb 2018, 06:53, edited 1 time in total.
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Is 12.5% of a greater than 11? [#permalink]

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New post 02 Feb 2018, 05:41
Bunuel wrote:
Is 12.5% of a greater than 11?

(1) 1/9 of a is less than 11.
(2) 1/7 of a is less than 11.


It should be B

Question basically asks if

\(0.125a < 11\)

or

\(a < \frac{11}{0.125}\)
\(a < 11 * 8\)
\(a < 88\)

Statement 1:

\(\frac{1}{9}a < 11\)
\(a < 99\)

A could be 97 or it could be 77, not sufficient.

Statement 2:

\(\frac{1}{7}a < 11\)

\(a < 77\)

This is clearly sufficient.
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Is 12.5% of a greater than 11?   [#permalink] 02 Feb 2018, 05:41
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