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Seven different numbers are selected from the integers 1 to

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M8
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Seven different numbers are selected from the integers 1 to [#permalink] New post   24 Apr 2006, 13:16
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Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?
(1) The range of the seven remainders is 6.
(2) The seven numbers selected are consecutive integers.



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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   24 Apr 2006, 14:42
B should be the ans

say the 7 no's are n , n+1 ,n+2...... n+6

add all of them up and u get 7n+21 and divide by 7 ..
hence remainder is 0

For A data is insufficient .
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   24 Apr 2006, 14:54
I agree with B. It shud be 1+2+3+4+5+6+0 (not necessarily in that order)
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   24 Apr 2006, 22:14
ipc302 wrote:
B should be the ans

say the 7 no's are n , n+1 ,n+2...... n+6

add all of them up and u get 7n+21 and divide by 7 ..
hence remainder is 0

For A data is insufficient .



Why do you say A is insufficient. If range of remainders is 6, then we know that they range from remainfer 0 thru 6...hence we know the sum of the remainders.
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   24 Apr 2006, 23:02
shevy wrote:
ipc302 wrote:
B should be the ans

say the 7 no's are n , n+1 ,n+2...... n+6

add all of them up and u get 7n+21 and divide by 7 ..
hence remainder is 0

For A data is insufficient .



Why do you say A is insufficient. If range of remainders is 6, then we know that they range from remainfer 0 thru 6...hence we know the sum of the remainders.


what if the remainders are 0,5,5,5,5,5,6 or 0,5,3,3,5,5,6?? The sum definately are not the same!
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 00:54
[quote="M8"]Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?
(1) The range of the seven remainders is 6.
(2) The seven numbers selected are consecutive integers.


The answer should be D. each statement is sufficient.
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 02:42
M8 wrote:
Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?
(1) The range of the seven remainders is 6.
(2) The seven numbers selected are consecutive integers.


I'd go for D.

1. seven different numbers are selected so st1 tells us that we've got 7 consecutive numbers
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 03:53
macca wrote:
M8 wrote:
Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?
(1) The range of the seven remainders is 6.
(2) The seven numbers selected are consecutive integers.


I'd go for D.

1. seven different numbers are selected so st1 tells us that we've got 7 consecutive numbers


How do u get 7 different numbers to give u consecutive numbers?

what if they are

6, 7, 14, 21, 28, 35, 42 ?

They are all different numbers between 1 and 100; AND the range is 6.

Its 6 for the first number listed and 0 for all else!!

Please explain!
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 10:20
OA is 'B'.
Great explanations ipc302 and sm176811.
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 11:47
sm176811 wrote:
what if they are

6, 7, 14, 21, 28, 35, 42 ?

They are all different numbers between 1 and 100; AND the range is 6.

Its 6 for the first number listed and 0 for all else!!

Please explain!


How is the range 6?

Range = 42 - 6 = 36.

I still don't understand how the OA is B. Looks like D to me...
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 12:27
sanjos wrote:
sm176811 wrote:
what if they are

6, 7, 14, 21, 28, 35, 42 ?

They are all different numbers between 1 and 100; AND the range is 6.

Its 6 for the first number listed and 0 for all else!!

Please explain!


How is the range 6?

Range = 42 - 6 = 36.

I still don't understand how the OA is B. Looks like D to me...



The range of the remainders is 6!
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 12:29
ARGH.
Serves me right, I should learn to read the questions carefully. :oops:

:evil:

Thanks for your reply.
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 12:34
Good Question though, what is the source?
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Re: Seven different numbers are selected from the integers 1 to [#permalink] New post   25 Apr 2006, 12:53
sm176811 wrote:
Good Question though, what is the source?


The source is WWW. About one year ago I found a pile of G-questions with answers on the web, downloaded it on my PC, but later lost the link to that web site. As I remember from the note on that Website these questions very close resemble the real G-questions.



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Re: Seven different numbers are selected from the integers 1 to [#permalink]
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