|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
32% (01:52) correct
68%
(01:44)
wrong
based on 113
sessions
History
Date
Time
Result
Not Attempted Yet
LCM of two natural numbers x and y is 161, and x and y are greater than 1. What is the value of (4x-3y)?
1. y>x
2. x and y are co-prime.
1. y>x
2. x and y are co-prime.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
https://gmatclub.com/forum/data-sufficiency-ds-141/
https://gmatclub.com/forum/data-sufficiency-ds-141/
24 Jun 2019, 21:41
Kudos
Bookmarks
Let the numbers be a and b . Then , ab= 161.
Now, co-primes with product 161 are (1, 161) and (7, 23).
-------------------------------------------------------------------------
i.) Since y >x , we have y=23 and x=7.
Therefore, 4x-3y = (4 x 7)-(3 x 23) = -41
i.) SUFFICIENT
--------------------------------------------------------------------------
ii.) 1 and 161 are co-prime; 7 and 23 are also co prime
ii.) INSUFFICIENT
--------------------------------------------------------------------------
Now, co-primes with product 161 are (1, 161) and (7, 23).
-------------------------------------------------------------------------
i.) Since y >x , we have y=23 and x=7.
Therefore, 4x-3y = (4 x 7)-(3 x 23) = -41
i.) SUFFICIENT
--------------------------------------------------------------------------
ii.) 1 and 161 are co-prime; 7 and 23 are also co prime
ii.) INSUFFICIENT
--------------------------------------------------------------------------
Rakesh1987
Current Student
Joined: 17 Jul 2018
Last visit: 06 May 2026
Posts: 66
Given Kudos: 100
Location: India
Concentration: Finance, Leadership
Schools: Stern '23 (M$)
GMAT 1: 760 Q50 V44
GPA: 4
Updated on: 24 Jun 2019, 23:48
Originally posted by Rakesh1987 on 24 Jun 2019, 23:25.
Last edited by Rakesh1987 on 24 Jun 2019, 23:48, edited 1 time in total.
Last edited by Rakesh1987 on 24 Jun 2019, 23:48, edited 1 time in total.
Kudos
Bookmarks
nick1816
161=7*23.
Numbers can be 7,23; 1,161; 7,161; 23,161.
1. Y>x. Too many possibilities. Insufficient
2. x and Y are co-prime. two possibilities: 7,23 and 1,161. Insufficient.
Combined we get, from 2) that they are integers without common factor.
and from 1) we rule out 1*161. and as Y>x, only scenario remains is y=23 and x=7. 4x-3y=4*7-3*23=-41. Sufficient.
Answer is C.
