OG 11 DS Question 148

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nuku888: Newbie | Next Rank: 10 Posts; Posts: 5; Joined: Thu Apr 19, 2007 5:20 pm

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.

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Source: Beat The GMAT — Data Sufficiency | Thu Apr 26, 2007 5:52 pm

f2001290: Master | Next Rank: 500 Posts; Posts: 400; Joined: Sat Mar 10, 2007 4:04 amFollowed by: 1 member; Thanked: 1 times

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.

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nuku888: 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

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jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

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

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