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06 Sep 2014, 18:28
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (01:54) correct
34%
(02:03)
wrong
based on 329
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Is q - 1/5 > 6/7 ?
(1) 1/6 of 9 is less than the value of q.
(2) Two times the value of q is greater than 7/4
(1) 1/6 of 9 is less than the value of q.
(2) Two times the value of q is greater than 7/4
06 Sep 2014, 19:47
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neeti1813
Dear neeti1813,
I'm happy to help.
Good practice with fractions. For basic rules of fractions, see:https://magoosh.com/gmat/2012/fractions-on-the-gmat/
First, we will re-write the prompt question by adding 1/5 to both sides, and finding a common denominator so that we can add the fractions.
Is \(q > \frac{6}{7} + \frac{1}{5}\)?
Is \(q > \frac{30}{35} + \frac{7}{35}\)?
Is \(q > \frac{37}{35}\)?
This number is 2/35 larger than 1. Notice that 1/10 of 35 is 3.5, so 2 is less than 1/10 of 35, so this number, 37/35, is between 1 and 1.1. That gives us a ballpark sense of its size.
Statement #1: 1/6 of 9 is less than the value of q.
In other words,
\(q > \frac{9}{6}\)
\(q > \frac{3}{2}\)
Well, if q is bigger than 3/2 = 1.5, then it definitely is bigger than 37/35. This allows us to give a definitive "yes" to the prompt question. This statement, alone and by itself, is sufficient.
Statement #2: Two times the value of q is greater than 7/4
In other words,
\(2q > \frac{7}{4}\)
\(q > \frac{7}{8}\)
Well, hmmm. This does not help us, because this would allow q = 1, which is less than 37/35, or q = 100, which is greater than 37/35. Consistent with the information in this statement, we could pick a value of q that give us either a "yes" or "no" answer to the prompt. No definitive answer is possible, based on this statement. In other words, alone and by itself, this statement is insufficient.
Answer = (A)
Does all this make sense?
Mike
