BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Confused about OG DS question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 22
Joined: Wed Apr 30, 2008 12:12 pm
Thanked: 5 times

Confused about OG DS question

by w0283767 » Sun Jul 20, 2008 12:51 pm
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.


I realize the answer is A, because the only tens digit for x divided by 100 is 3 for the answer to have a remainder of 30.

I am confused because the statement 2 seems to contradict statement 1.
Top
Source: — Data Sufficiency |
User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pm
Location: Toronto
Thanked: 1710 times
Followed by:614 members
GMAT Score:800

Re: Confused about OG DS question

by Stuart@KaplanGMAT » Sun Jul 20, 2008 1:52 pm
w0283767 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.


I realize the answer is A, because the only tens digit for x divided by 100 is 3 for the answer to have a remainder of 30.

I am confused because the statement 2 seems to contradict statement 1.
"Contradict" means that two statements cannot simultaneously be true. That will NEVER happen in data sufficiency. The two statements will always have at least one answer in common.

In this case, 3330 satisfies both statements.

3330/100 = 33 rem 30
3330/110 = 30 rem 30

Of course, statement (1) is sufficient by itself, so on the actual GMAT you should never worry about combining them - you can rest assured that the statements won't be contradictory. If you ever come across a DS question that does have contradictory statements, you're working with questionable materials.
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
Top
Junior | Next Rank: 30 Posts
Posts: 22
Joined: Wed Apr 30, 2008 12:12 pm
Thanked: 5 times

by w0283767 » Mon Jul 21, 2008 9:00 am
thanks
Top
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Fri Dec 05, 2008 1:07 pm

by avitorio » Fri Dec 05, 2008 1:10 pm
But since statement 2 is also sufficient, wouldn't it be D instead of A?
Top
Legendary Member
Posts: 708
Joined: Sun Jun 01, 2008 4:59 am
Location: USA
Thanked: 13 times
Followed by:1 members

by niraj_a » Fri Dec 05, 2008 1:59 pm
avitorio -

no, because you can get different values in statement 2 for the tens digit of x.
Top
Post new topic Post Reply
• Page 1 of 1