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

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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.

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.

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!

[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.

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

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!!

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.