What is tens digit of positive integer r

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What is tens digit of positive integer r

by rppala90 » Thu Aug 25, 2011 5:18 am
What is tens digit of the positive integer r ?
(1) The tens digit of r /10 is 3.
(2) The hundreds digit of 10r is 6.

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by GmatKiss » Thu Aug 25, 2011 6:01 am
IMO:B

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by rppala90 » Thu Aug 25, 2011 6:31 am
Please explain.

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by GMATGuruNY » Thu Aug 25, 2011 7:19 am
rppala90 wrote:What is tens digit of the positive integer r ?
(1) The tens digit of r /10 is 3.
(2) The hundreds digit of 10r is 6.
Statement 1: The tens digit of r/10 is 3.
Multiply by 10:
The (10*tens) digit of 10*(r/10) is 3.
The HUNDREDS digit of r is 3.
No way to determine the tens digit of r.
Insufficient.

Statement 2: The hundreds digit of 10r is 6.
Divide by 10:
The (hundreds/10) digit of (10r)/10 is 6.
The TENS digit of r is 6.
Sufficient.

The correct answer is B.
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by prateek_guy2004 » Thu Aug 25, 2011 10:51 am
GMATGuruNY wrote:
rppala90 wrote:What is tens digit of the positive integer r ?
(1) The tens digit of r /10 is 3.
(2) The hundreds digit of 10r is 6.
Statement 1: The tens digit of r/10 is 3.
Multiply by 10:
The (10*tens) digit of 10*(r/10) is 3.
The HUNDREDS digit of r is 3.
No way to determine the tens digit of r.
Insufficient.

Statement 2: The hundreds digit of 10r is 6.
Divide by 10:
The (hundreds/10) digit of (10r)/10 is 6.
The TENS digit of r is 6.
Sufficient.

The correct answer is B.

why B...i cant not understand the calculation of statement 1 ....r/10=3 So if r is 30 3 is clearly tenth digit. Yes if you divide it by 10 then # is unit digit.....

I am clear with statement 2.

To me both the statements are sufficient D

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by GMATGuruNY » Thu Aug 25, 2011 11:43 am
prateek_guy2004 wrote:
GMATGuruNY wrote:
rppala90 wrote:What is tens digit of the positive integer r ?
(1) The tens digit of r /10 is 3.
(2) The hundreds digit of 10r is 6.
Statement 1: The tens digit of r/10 is 3.
Multiply by 10:
The (10*tens) digit of 10*(r/10) is 3.
The HUNDREDS digit of r is 3.
No way to determine the tens digit of r.
Insufficient.

Statement 2: The hundreds digit of 10r is 6.
Divide by 10:
The (hundreds/10) digit of (10r)/10 is 6.
The TENS digit of r is 6.
Sufficient.

The correct answer is B.

why B...i cant not understand the calculation of statement 1 ....r/10=3 So if r is 30 3 is clearly tenth digit. Yes if you divide it by 10 then # is unit digit.....

I am clear with statement 2.

To me both the statements are sufficient D
As I noted in my post above, statement 1 indicates that the HUNDREDS digit of r is 3.

Statement 1: The tens digit of r/10 is 3.
It's possible that r=300, since the tens digit of 300/10 = 30 is 3.
The tens digit of r=300 is 0.
It's possible that r=310, since the tens digit of 310/10 = 31 is 3.
The tens digit of r=310 is 1.
The HUNDREDS digit of r is consistently 3, but the TENS digit of r can be different values.
Insufficient.
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by prateek_guy2004 » Thu Aug 25, 2011 11:52 am
GMATGuruNY wrote:
prateek_guy2004 wrote:
GMATGuruNY wrote:
rppala90 wrote:What is tens digit of the positive integer r ?
(1) The tens digit of r /10 is 3.
(2) The hundreds digit of 10r is 6.
Statement 1: The tens digit of r/10 is 3.
Multiply by 10:
The (10*tens) digit of 10*(r/10) is 3.
The HUNDREDS digit of r is 3.
No way to determine the tens digit of r.
Insufficient.

Statement 2: The hundreds digit of 10r is 6.
Divide by 10:
The (hundreds/10) digit of (10r)/10 is 6.
The TENS digit of r is 6.
Sufficient.

The correct answer is B.

why B...i cant not understand the calculation of statement 1 ....r/10=3 So if r is 30 3 is clearly tenth digit. Yes if you divide it by 10 then # is unit digit.....

I am clear with statement 2.

To me both the statements are sufficient D
As I noted in my post above, statement 1 indicates that the HUNDREDS digit of r is 3.

Statement 1: The tens digit of r/10 is 3.
It's possible that r=300, since the tens digit of 300/10 = 30 is 3.
The tens digit of r=300 is 0.
It's possible that r=310, since the tens digit of 310/10 = 31 is 3.
The tens digit of r=310 is 1.
The HUNDREDS digit of r is consistently 3, but the TENS digit of r can be different values.
Insufficient.
Hi Mitch Hunt

Thanks great explanation..

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by ktn11 » Thu Aug 25, 2011 8:56 pm
Let r= ABC, we need to find the tens digit of r. So we need to find what is B=?

Stm1: tens digit of r/10 is 3

so ABC/10 = AB.C so the tens digit here is A. so the statement is saying A=3, not sufficient as we need the value of B.

Stmt2: 10* ABC = ABC0. and the hundreds digit of this value is given as 6. The hundreds digit here is B. ie B=6 which is what we ar looking for.

Hence OA: B