| View previous topic :: View next topic |
| Author |
Message |
kulksnikhil
Rising GMAT Star
Joined: 23 May 2006
Posts: 58
Thanks given: 0
Thanked 0 times in 0 posts
Location: Seoul, Korea
|
 Posted: Mon Nov 27, 2006 7:46 am Post subject: tenth digit in decimal representation |
 |
|
In the decimal representation of x, where 0< x< 1, is the tenths digit of x nonzero?
1) 16x is an integer
2) 8x is an integer
The right answer is B
Can anybody help solve this? What is 10ths digit in decimal representation?
e.g. in 0.502, 0 is in tenth's digit place? |
|
| Back to top |
|
 |
|
|
gmat_enthus
Rising GMAT Star
Joined: 18 Oct 2006
Posts: 62
Thanks given: 0
Thanked 0 times in 0 posts
|
| Posted: Mon Nov 27, 2006 1:46 pm Post subject: |
|
|
There is a difference between tenth and tens digit.
71.234
tenth digit = 2
units digit = 1
tens digit = 7
Hope this helps
_________________
My 760 | GMAT Preparation Suggestion
destination 760! completed! |
|
| Back to top |
|
|
gmat_enthus
Rising GMAT Star
Joined: 18 Oct 2006
Posts: 62
Thanks given: 0
Thanked 0 times in 0 posts
|
| Posted: Mon Nov 27, 2006 1:49 pm Post subject: Re: tenth digit in decimal representation |
|
|
| kulksnikhil wrote: | In the decimal representation of x, where 0< x< 1, is the tenths digit of x nonzero?
1) 16x is an integer
2) 8x is an integer
The right answer is B
Can anybody help solve this? What is 10ths digit in decimal representation?
e.g. in 0.502, 0 is in tenth's digit place? |
0<x<1
1. 16x is an integer => x could 1/16, 2/16 ...... 15/16. For some of them tenths digit is 0 for others its non-zero.
2] 8x is an integer => x could be 1/8, 2/8 .... 7/8. For all of these tenths digit is never 0. "NO" to question. So sifficient
_________________
My 760 | GMAT Preparation Suggestion
destination 760! completed! |
|
| Back to top |
|
|
kulksnikhil
Rising GMAT Star
Joined: 23 May 2006
Posts: 58
Thanks given: 0
Thanked 0 times in 0 posts
Location: Seoul, Korea
|
| Posted: Mon Nov 27, 2006 6:40 pm Post subject: Re: tenth digit in decimal representation |
|
|
| gmat_enthus wrote: | | kulksnikhil wrote: | In the decimal representation of x, where 0< x< 1, is the tenths digit of x nonzero?
1) 16x is an integer
2) 8x is an integer
The right answer is B
Can anybody help solve this? What is 10ths digit in decimal representation?
e.g. in 0.502, 0 is in tenth's digit place? |
0<x<1
1. 16x is an integer => x could 1/16, 2/16 ...... 15/16. For some of them tenths digit is 0 for others its non-zero.
2] 8x is an integer => x could be 1/8, 2/8 .... 7/8. For all of these tenths digit is never 0. "NO" to question. So sifficient |
that's a sound reasoning...thanks. |
|
| Back to top |
|
|
rajs.kumar
Rising GMAT Star
Joined: 09 Jun 2006
Posts: 87
Thanks given: 0
Thanked 0 times in 0 posts
|
| Posted: Tue Nov 28, 2006 11:53 am Post subject: |
|
|
the final remainder (which leads to the tenths decimal value) when divided by 8 will always have a quotient >= 1 (since 8 < 10). On the other hand for 16 it could be >= 0 (since 16 > 10).
So B is sufficient. |
|
| Back to top |
|
|
|
|
|
