What is the tens digit of positive integer x ?
(1) x divided by 100 has a remainder of 30.
(2) x divided by 110 has a remainder of 30.
What's the best way to determine whether statement 1 is sufficient? Can any experts help?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
What is the tens digit of positive integer x ?
This topic has expert replies
-
BTGmoderatorAT
- Moderator
- Posts: 426
- Joined: Tue Aug 22, 2017 8:48 pm
- Followed by:1 members
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Statement 1:ardz24 wrote:What is the tens digit of positive integer x ?
(1) x divided by 100 has a remainder of 30.
(2) x divided by 110 has a remainder of 30.
Since dividing x by 100 leaves a remainder of 30, x is 30 MORE THAN A MULTIPLE OF 100.
In math terms:
x = 100a + 30, where a is a nonnegative integer.
Options for x:
30, 130, 230, 330...
In every case, the tens digit of x is 3.
SUFFICIENT.
Statement 2:
Since dividing x by 110 leaves a remainder of 30, x is 30 MORE THAN A MULTIPLE OF 110.
In math terms:
x = 110b + 30, where b is a nonnegative integer.
Options for x:
30, 140, 250, 360...
Since the tens digit of x can be different values, INSUFFICIENT.
The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
