This GMAT prep question has been dealt with a couple times on this board, but I haven't seen anyone post a definitive OA.
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 think the answer is D, but many seem to think it's B
For (1)
1,2,3,4,5,6,7
have remainders of:
1,2,3,4,5,6,0
That's a range of 6 and the sum of the remainders equals 21
just to double check:
12,13,14,15,16,17,18
have remainders of:
5, 6, 0, 1, 2, 3, 4 = 21
STMNT #1 is sufficient
Stmnt #2
2,3,4,5,6,7,8
have remainders of:
2+3+4+5+6+0+1 = 21 (same as consecutive set tested for stmt #1.
So I get D. Why are people getting B?
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 think the answer is D, but many seem to think it's B
For (1)
1,2,3,4,5,6,7
have remainders of:
1,2,3,4,5,6,0
That's a range of 6 and the sum of the remainders equals 21
just to double check:
12,13,14,15,16,17,18
have remainders of:
5, 6, 0, 1, 2, 3, 4 = 21
STMNT #1 is sufficient
Stmnt #2
2,3,4,5,6,7,8
have remainders of:
2+3+4+5+6+0+1 = 21 (same as consecutive set tested for stmt #1.
So I get D. Why are people getting B?
