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# Seven different numbers are selected from the integers 1 to

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Intern
Joined: 08 Nov 2008
Posts: 29
Seven different numbers are selected from the integers 1 to [#permalink]

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09 Nov 2008, 20:32
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Intern
Joined: 07 Nov 2008
Posts: 31

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09 Nov 2008, 20:50
(1) The range of the seven remainders is 6. ---> not suff, you can take several examples(there are many integers which have the same remainder)
(2) The seven numbers selected are consecutive integers. ---> the mutiple of n consecutive integers can be divided by n, meaning one of these consecutive integers can be divided by 7. so the sum of remainders is the sum from 1 to 6, suff

B
Re: 7numbers---28   [#permalink] 09 Nov 2008, 20:50
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# Seven different numbers are selected from the integers 1 to

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