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dunkin77: Master | Next Rank: 500 Posts; Posts: 269; Joined: Sun Apr 01, 2007 5:41 am

by dunkin77 » Tue Jun 19, 2007 5:22 pm

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 thought was C but answer is different. Can anyone help?

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Source: Beat The GMAT — Problem Solving | Tue Jun 19, 2007 5:22 pm

ashok_uddaraju: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Sun Mar 11, 2007 6:53 pm

by ashok_uddaraju » Tue Jun 19, 2007 8:56 pm

i guess u could be a bit clear with ur question
and post the options

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moneyman: Master | Next Rank: 500 Posts; Posts: 468; Joined: Sat Mar 03, 2007 10:17 pm; Thanked: 5 times

by moneyman » Sat Jun 23, 2007 6:45 am

The answer is B..

Take any two sets of seven consecutive numbers between 7 and 99 and you will find that the sum of the remainders to be 22..Hence Statement(2) is sufficient

Maxx

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