Seven different numbers are selected from the integers 1 to

Question

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.

kbulse · Answer

I think it is C
if we know that integers are consecutive (II), so remainders should be consecutive too(I am sure about that) so 6+5+4+3+2+1+0=21

CaspAreaGuy · Answer

I think it is B.

st 2. 7 consequitive integers means one of them will definetly divide by 7 evenly. so 0+1+2+3+4+5+6 will be a solution. suff 
st 1. does not imply integers are consequitive. insuff

marcodonzelli · Answer

B states that integers are consecutive...remainders are 1,2,3,4,5,6. we can sum them...OA is B

singaks · Answer

i think its E.

why cant the remainders also be 6+7+8+9+10+11+12

akhi · Answer

The answer is E  Statement 1: Range is 6. That means if nos are X1 to X7, then X7-X1=6
 Not sufficient
 Statement 2: Nos. are consecutive integers. Insufficient to give sum of reminders.

marcodonzelli · Answer

OA is B guys...source GMAT Prep

GK_Gmat · Answer

B.

Stat 1: Doesn't tell us anything. Remainders could be 0,0,0,0,0,0,6 or 0,0,2,3,4,5,6; Insuff.
Stat 2: If the numbers are consecutive then the remainders have to be 1,2,3,4,5,6,0 in this order or some other. Regardless, sum will always be the same. Suff.

Dellin · Answer

B
remainders of n consecutive nos divided by n will be 0,1,2,....n-1,n-1.

GMATBLACKBELT · Answer

B.

S1: no help here.

S2: try any set of consecutive integers. 1,2,3,4,5,6,7 remainders are 1,2,3,4,5,6,0

Try another set 19,20,21,22,23,24,25 --> R: 5,6,0,1,2,3,4 remainders will always be these.

Suff.

Travel09 · Answer

singaks,
 Remainder cannot be greater than the denominator. 
For example 45/7 . Reminder is 3. 
45=7*6+3.
You can also put 45 as 7*5 +10 . But notice 10 can still be expressed as 7*1+3.

Remainder by definition is difference between numerator and product of divisor and largest possible multiple.

Hope this helps.

Seven different numbers are selected from the integers 1 to

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