Is 12.5% of a greater than 11?

Question

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.

DavidTutorexamPAL · Answer

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.

mkdir · Answer

12.5% of a = 1/8 of a

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

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

Answer: B

Hit kudos if this helped!

jedit · Answer

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.

bumpbot · Answer

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Is 12.5% of a greater than 11?

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Is 12.5% of a greater than 11?

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