Last visit was: 24 Apr 2026, 03:01 It is currently 24 Apr 2026, 03:01
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,803
Own Kudos:
810,923
Given Kudos: 105,868
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,803
Kudos: 810,923
Which of the following fractions has a value less than 6/3^2*7^3 ? 11 Jan 2018, 23:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

69% (02:07) correct 31% (02:10) wrong based on 128 sessions

History

Date
Time
Result
Not Attempted Yet
Which of the following fractions has a value less than \(\frac{6}{3^2*7^3}\) ?


A. \(\frac{14}{3*7^4}\)

B. \(\frac{2}{3*7^3}\)

C. \(\frac{45}{3^5*7^3}\)

D. \(\frac{19}{3^3*7^3}\)

E. \(\frac{132}{3^3*7^4}\)
ShowHide Answer
Official Answer
C
User avatar
DavidTutorexamPAL
User avatar
examPAL Representative
Joined: 07 Dec 2017
Last visit: 09 Sep 2020
Posts: 1,002
Own Kudos:
2,042
Given Kudos: 26
Posts: 1,002
Kudos: 2,042
Which of the following fractions has a value less than 6/3^2*7^3 ? 12 Jan 2018, 08:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Which of the following fractions has a value less than \(\frac{6}{3^2*7^3}\) ?


A. \(\frac{14}{3*7^4}\)

B. \(\frac{2}{3*7^3}\)

C. \(\frac{45}{3^5*7^3}\)

D. \(\frac{19}{3^3*7^3}\)

E. \(\frac{132}{3^3*7^4}\)
Show more

As this looks like a very technical question, we'll work with the expressions.
This is a Precise approach.

We'll simplify the answers one by one and compare to our fraction.

(A) simplifies to \(\frac{2}{3*7^3}\). No good!

(B) is already simplified and we can see it is larger.

(C) simplifies to \(\frac{5}{3^3*7^3}\). Yes!
This must be our answer, no need to check (D) and (E)

(C) is our answer.
User avatar
SchruteDwight
User avatar
Joined: 03 Sep 2018
Last visit: 30 Mar 2023
Posts: 164
Own Kudos:
117
Given Kudos: 923
Location: Netherlands
Schools: HEC MiM "22 (S) LBS MiM "21 (A)
GPA: 4
Products:
My Reviews
Schools: HEC MiM "22 (S) LBS MiM "21 (A)
Posts: 164
Kudos: 117
Which of the following fractions has a value less than 6/3^2*7^3 ? 28 Feb 2019, 13:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
DavidTutorexamPAL
Bunuel
Which of the following fractions has a value less than \(\frac{6}{3^2*7^3}\) ?
(B) is already simplified and we can see it is larger.
Show more

B is actually the fraction from the stem, not larger.
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 23 Apr 2026
Posts: 22,283
Own Kudos:
26,532
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,283
Kudos: 26,532
Which of the following fractions has a value less than 6/3^2*7^3 ? 04 Mar 2019, 20:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Which of the following fractions has a value less than \(\frac{6}{3^2*7^3}\) ?


A. \(\frac{14}{3*7^4}\)

B. \(\frac{2}{3*7^3}\)

C. \(\frac{45}{3^5*7^3}\)

D. \(\frac{19}{3^3*7^3}\)

E. \(\frac{132}{3^3*7^4}\)
Show more


We see that the common denominator of the given fraction and all of the answer choices is 3^5 x 7^4. So we can get common denominators of each value and compare the numerators. Let’s start with the given value.

Numerator of given value becomes: 6 x 3^3 x 7 = 2 x 3^4 x 7^1

Numerator of choice A becomes: 14 x 3^4 = 2 x 3^4 x 7^1

We see that answer choice A is equal to the given value.

Numerator of choice B becomes: 2 x 3^4 x 7^1

We see that answer choice B is equal to the given value.

Numerator of choice C becomes: 3^2 x 5^1 x 7^1

We see that answer choice C is less than the given value.

Although we can stop here, let’s continue to verify that the last two answer choices have a numerator greater than or equal to the numerator of the given fraction.

Numerator of choice D becomes 19 x 3^2 x 7^1

We see that answer choice D is greater than the given value.

Numerator of choice E becomes 132 x 3^2

We see that answer choice E is greater than the given value.

Alternate Solution:

As we are looking for a value that is less than 6/(3^2 * 7^3), we know that all but one of the answer choices will be greater than or equal to 6/(3^2 * 7^3). We can therefore ignore the given fraction and simply find the smallest fraction among the given fractions.

Notice that the fraction in answer choice A simplifies to 2/(3 * 7^3); which is the same as the fraction in answer choice B. As there can be only one correct answer, we can eliminate both of A and B.

Next, notice that the fraction in answer choice C simplifies to 5/(3^3 * 7^3). As this simplified expression has the same denominator as the fraction in answer choice D, we can easily compare the numerators and conclude that C is smaller than D. We only need to compare the fractions in answer choices C and E. To do that, we can multiply the numerator and the denominator of the simplified form of the fraction in answer choice C by 7 to obtain that it is equivalent to 35/(3^3 * 7^4). Comparing the numerators of C and E, we conclude that C is the smallest fraction among the answer choices and thus, it must also be smaller than 6/(3^2 * 7^3).

Answer: C
Moderators:
Bunuel
Math Expert
109802 posts
Krunaal
Tuck School Moderator
853 posts