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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11 Sep 2008, 15:23
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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
Senior Manager
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11 Sep 2008, 15:30
B

its pretty logical ... esp of one is taking all consecutive integers.

you take
1 2 3 4 5 4 6 OR 5 6 7 8 9 10 11

sum of remainders will be 1+2+3+4+5+6+0
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11 Sep 2008, 15:38
Agreed .. B should be the answer.

1 ) range of the reminders is 6 => we can have 6 numbers with reminder 0 and one with reminder 6; or 1 with reminder 0. one with reminder 6 and rest being anything etc.. not sufficient

2 ) The seven numbers selected are consecutive integers = > the reminders will be 0,1,2,3,4,5,6 ( not necessarily in the order )
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13 Sep 2008, 00:19
ssandeepan wrote:
Agreed .. B should be the answer.

1 ) range of the reminders is 6 => we can have 6 numbers with reminder 0 and one with reminder 6; or 1 with reminder 0. one with reminder 6 and rest being anything etc.. not sufficient

2 ) The seven numbers selected are consecutive integers = > the reminders will be 0,1,2,3,4,5,6 ( not necessarily in the order )

very well explained. i could not see that the numbers could be repeated.

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Re: DS - Remainders   [#permalink] 13 Sep 2008, 00:19
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