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# Is 12.5% of a greater than 11?

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Math Expert
Joined: 02 Sep 2009
Posts: 58465
Is 12.5% of a greater than 11?  [#permalink]

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11 Jan 2018, 23:05
1
2
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Difficulty:

25% (medium)

Question Stats:

78% (01:32) correct 22% (01:11) wrong based on 58 sessions

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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.

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

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12 Jan 2018, 08:39
1
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!

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

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Updated on: 02 Feb 2018, 07:53
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

Hit kudos if this helped!

Originally posted by mkdir on 01 Feb 2018, 17:51.
Last edited by mkdir on 02 Feb 2018, 07:53, edited 1 time in total.
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Is 12.5% of a greater than 11?  [#permalink]

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02 Feb 2018, 06:41
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

$$0.125a < 11$$

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, 06:41
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