|
|
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.
06 Oct 2018, 18:10
Kudos
Bookmarks
E
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:
53% (02:57) correct
47%
(03:03)
wrong
based on 178
sessions
History
Date
Time
Result
Not Attempted Yet
When integer x is divided by 4 and integer y is divided by 5, the remainder is 1 and the difference between quotients is 6. What is the sum of x and y?
A. 117
B. 119
C. 126
D. 137
E. 143
A. 117
B. 119
C. 126
D. 137
E. 143
06 Oct 2018, 21:01
Kudos
Bookmarks
gracie
another approach:
(x-1)/4-(y-1)/5=6
→5x-4y=121
→5x/11-4y/11=11
if x and y are integers, they must both be multiples of 11
and their sum must be a multiple of 11 also
143 is the only multiple of 11
E
General Discussion
06 Oct 2018, 19:58
Kudos
Bookmarks
gracie
x=4(z+6)+1
y=5z+1
We are looking for x+y
x+y=4z+24+1+5z+1=9z+26
Ofcourse there will not be one value but it will depend on z and therefore the question should be " what CAN be the sum of X and y?"
So x+y=9z+26.......x+y-26=9z
Therefore any choice subtracted by 26 should be a multiple of 9..
Let's see the choices
A. 117..... 117-26=91....no
B. 119.....119-26=93...no
C. 126..... 126-26=100...no
D. 137....... 137-26=111.. no
E. 143......143-26=117..yes
So E
A short cut would be X+y-26 means addition of all digits should be divisible by 9
26 gives -(2+6)=-8, so any choice which gives (sumof digits -8) as 0 or a multiple of 9
117=1+1+7=9....9-8=1
119=1+1+9=11...11-8=3
126=1+2+6=9...9-8=1
137=1+3+7=11...11-8=3
143=1+4+3=8...8-8=0...yes
So 143 is the answer
