Last visit was: 25 Apr 2026, 20:27 It is currently 25 Apr 2026, 20:27
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
avatar
neeti1813
avatar
Joined: 11 Mar 2014
Last visit: 06 Nov 2014
Posts: 9
Own Kudos:
126
 [10]
Given Kudos: 14
Posts: 9
Kudos: 126
 [10]
Is q - 1/5 > 6/7 ? 06 Sep 2014, 18:28
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
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 sessions

History

Date
Time
Result
Not Attempted Yet
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
ShowHide Answer
Official Answer
A
User avatar
mikemcgarry
User avatar
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Last visit: 06 Aug 2018
Posts: 4,474
Own Kudos:
30,885
 [1]
Given Kudos: 130
Expert
Expert reply
Posts: 4,474
Kudos: 30,885
 [1]
Is q - 1/5 > 6/7 ? 06 Sep 2014, 19:47
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
neeti1813
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
Show more
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 :-)
avatar
neeti1813
avatar
Joined: 11 Mar 2014
Last visit: 06 Nov 2014
Posts: 9
Own Kudos:
126
Given Kudos: 14
Posts: 9
Kudos: 126
Is q - 1/5 > 6/7 ? 07 Sep 2014, 00:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mikemcgarry
neeti1813
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
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 :-)
Show more

yes definitely ...... thanks mike :-D
User avatar
eshan429
User avatar
Joined: 29 Apr 2014
Last visit: 18 Sep 2018
Posts: 56
Own Kudos:
135
Given Kudos: 48
Location: India
Concentration: Other, Finance
GMAT 1: 770 Q51 V42
WE:Analyst (Retail Banking)
GMAT 1: 770 Q51 V42
Posts: 56
Kudos: 135
Is q - 1/5 > 6/7 ? 07 Sep 2014, 04:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mikemcgarry
neeti1813
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
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 :-)
Show more
Great explanation Mike.

I did it a bit differently which I think would be a bit faster than simplifying the fraction to get a decimal. Please let me know what you think.

Let's simplify the equation first. The question asks if \(q - \frac{1}{5} > \frac{6}{7}\)?

=> \(q > \frac{6}{7} + \frac{1}{5}\)

=> \(q > \frac{30}{35} + \frac{7}{35}\)

=> \(q > \frac{37}{35}\)

1) 1/6 of 9 is less than the value of q
So,
\(q > \frac{9}{6}\)

\(q > \frac{3}{2}\)

\(q > \frac{{3 * 17.5}}{{2 * 17.5}}\)

\(q > \frac{Something more than 51}{35}\)

So, \(q > \frac{37}{35}\) is true. ----> Sufficient

2) Two times the value of q is greater than 7/4
Which means,
\(2q > \frac{7}{4}\)

\(q > \frac{7}{8}\)

Now, we can try to equate the two fractions, but it'll be much faster to realize that \(\frac{7}{8} < 1\) and \(\frac{37}{35} > 1\).

So, \(q > \frac{37}{35}\) might or might not be true. ----> Insufficient

Hence the answer is A.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,986
Own Kudos:
1,118
Posts: 38,986
Kudos: 1,118
Is q - 1/5 > 6/7 ? 29 Jan 2024, 11:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109830 posts
kingbucky
498 posts
Gmat860sanskar
212 posts