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

Redeem

OG 11 DS Question 148

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Thu Apr 19, 2007 5:20 pm

OG 11 DS Question 148

by nuku888 » Thu Apr 26, 2007 5:52 pm
Hello,

I was wondering if anyone could help me with this question. I read the explanation at the back but I don't really understand it.

The question is:

What is the tens digit of the positive integer x?

1. X divided by 100 has a remainder of 30
2. X divided by 110 has a remainder of 30

What is the fastest way to find the what # gives you a remainder of 30 for statement 2? Or do I have to find it through trial and error?

Also can anyone give me some tips on how to do these remainder questions I always mess up on them.
Top
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Sat Mar 10, 2007 4:04 am
Thanked: 1 times
Followed by:1 members

by f2001290 » Thu Apr 26, 2007 8:36 pm
Hi Nuku

What is the solution ? I think that the answer is A

I prefer trial and error for the second option.
Top
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Thu Apr 19, 2007 5:20 pm

by nuku888 » Mon Apr 30, 2007 2:18 pm
Yups the answer is A
Top
User avatar
Community Manager
Posts: 789
Joined: Sun Jan 28, 2007 3:51 pm
Location: Silicon valley, California
Thanked: 30 times
Followed by:1 members

Re: OG 11 DS Question 148

by jayhawk2001 » Mon Apr 30, 2007 9:20 pm
nuku888 wrote:Hello,

I was wondering if anyone could help me with this question. I read the explanation at the back but I don't really understand it.

The question is:

What is the tens digit of the positive integer x?

1. X divided by 100 has a remainder of 30
2. X divided by 110 has a remainder of 30

What is the fastest way to find the what # gives you a remainder of 30 for statement 2? Or do I have to find it through trial and error?

Also can anyone give me some tips on how to do these remainder questions I always mess up on them.
1 - Sufficient. X = 100n + 30. So tens digit has to be 3.

2 - Insufficient. X = 110n + 30 = 100n + 10n + 30. So, tens digit
depends on n, which we don't know

Hence A
Top
Post new topic Post Reply
• Page 1 of 1