Seven different numbers are selected from the integers 1 to : DS Archive
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# Seven different numbers are selected from the integers 1 to

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

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30 Sep 2006, 07:37
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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 reminders?

(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.
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30 Sep 2006, 08:04
looks like D

1) if the range of 7 different positive numbers is 6 - they will be consecutive.

2) given they are consecutive.

so, from these 7 numbers, we will get remainders as 0, 1, 2, 3, 4, 5, 6 (not necessary in that order) - but their sum is known.
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30 Sep 2006, 08:10
I think it will be B.

(1) The range is 6 . The remainders can b 0,1,1,1,1,1,6 or 0,0,1,1,1,6,6 etc . Insuff
(2) The numbers are consecutive The remainders can be 0,1,2,3,4,5,6 or 2,3,4,5,6,0,1 etc All add upto 21 . Suff

Hence B
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30 Sep 2006, 08:58
Should be B..Range does not tell anything...
However if the numbers are consecutive, the remainders will be from 0 to 6..
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30 Sep 2006, 15:07
iced_tea wrote:
looks like D

1) if the range of 7 different positive numbers is 6 - they will be consecutive.

2) given they are consecutive.

so, from these 7 numbers, we will get remainders as 0, 1, 2, 3, 4, 5, 6 (not necessary in that order) - but their sum is known.

1) does not say they are integers.

B for me as well.
30 Sep 2006, 15:07
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