|
|
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.
17 Apr 2020, 00:34
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
56% (02:37) correct
44%
(02:34)
wrong
based on 106
sessions
History
Date
Time
Result
Not Attempted Yet
If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?
(1) The tens digit of x is one less than the tens digit of z.
(2) The sum of digits of y is equal to the tens digit of y.
Challenge Question - (1)
(1) The tens digit of x is one less than the tens digit of z.
(2) The sum of digits of y is equal to the tens digit of y.
Challenge Question - (1)
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:
Data Sufficiency Forum
Data Sufficiency Forum
17 Apr 2020, 03:39
Kudos
Bookmarks
y=de
z=fg
x=1bc
Statement 1 - b=f
100+10b+c= 10d+e+10b+g
100+c = 10d+e+g
Since LHS is greater than or equal to 100 and e+g<19, d must be equal to 9 and e+g must be greater than or equal to 10 . We have no idea about e.
Insufficient
Statement 2 -
d+e = d
e=0
We have no idea about d.
Insufficient
Combining both statements, y=90
Sufficient
Tho i think question is faulty. If e is 0, e+g can never be greater than or equal to 10 or my solution might be wrong
.
z=fg
x=1bc
Statement 1 - b=f
100+10b+c= 10d+e+10b+g
100+c = 10d+e+g
Since LHS is greater than or equal to 100 and e+g<19, d must be equal to 9 and e+g must be greater than or equal to 10 . We have no idea about e.
Insufficient
Statement 2 -
d+e = d
e=0
We have no idea about d.
Insufficient
Combining both statements, y=90
Sufficient
Tho i think question is faulty. If e is 0, e+g can never be greater than or equal to 10 or my solution might be wrong
. chetan2u
17 Apr 2020, 05:54
Kudos
Bookmarks
nick1816
Hi,
You are correct about it. Corrected the error..
Let the numbers be x=1ab, y=cd and z=ef
X cannot have units digit anything other than 1 as sum of two 2-digits can be maximum 99+99=198....
(1) The tens digit of x is one less than the tens digit of z.
a=e-1..
Also \(10+a=c+e\), if no carry over from units digit
\(10+a=c+a+1...c=9\)
or
\(10+a=c+e+1\).. if a carry over is there
\(10+a=c+a+1+1...c=8\), but we do not know about c
Insuff
(2) The sum of digits of y is equal to the tens digit of y.
so c+d=c...d=0, but we do not know about c
Insuff
Combined
c=9 and d=0....y=90
C
