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## OG 11 DS Question 148

This topic has 3 member replies
nuku888 Newbie | Next Rank: 10 Posts
Joined
19 Apr 2007
Posted:
5 messages

#### OG 11 DS Question 148

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.

jayhawk2001 Community Manager
Joined
28 Jan 2007
Posted:
789 messages
Followed by:
1 members
30
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

nuku888 Newbie | Next Rank: 10 Posts
Joined
19 Apr 2007
Posted:
5 messages
Mon Apr 30, 2007 2:18 pm

f2001290 Master | Next Rank: 500 Posts
Joined
10 Mar 2007
Posted:
400 messages
Followed by:
1 members
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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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