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## Tens digit

tagged by: Brent@GMATPrepNow

gmatblood Master | Next Rank: 500 Posts
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#### Tens digit

Fri Nov 04, 2011 10:51 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
What is the tens digt of positive integer x
(1) x divided by 100 has a remainder of 30
(2) x divided by 110 has a remander of 30

IMO: A

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rijul007 Legendary Member
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Fri Nov 04, 2011 11:05 am
1.
x divided by 100 , remainder 30
x = 130, 230, 330, 430,....

Tens digit = 3

Sufficient

2.
x divided by 110, remainder 30
x= 140,250,360,...
Tens digit = 4/5/6/...

Insufficient

Option A

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Brent@GMATPrepNow GMAT Instructor
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Sat Nov 05, 2011 5:33 am
gmatblood wrote:
What is the tens digt of positive integer x
(1) x divided by 100 has a remainder of 30
(2) x divided by 110 has a remander of 30

IMO: A
As rijul007 showed, listing possible values of x is a great approach here.

To answer questions involving remainders, it's useful to be able to list possible values. So, here's the rule for this:

If N/D has remainder R, then the possible values of N = R, R+D, R+2D, R+3D, . . .
Note: N,D and R are non-negative integers.

Example: If N divided by 7 has remainder 3, then the possible values of N are as follows: 3, 10, 17, 24, 31, 38, etc

Cheers,
Brent

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