Would you please explain more clearly.If the range is 6 the numbers can be 1-7 or 2-8 or 3-9.
If I divide all set of numbers by 7,the sum of the remainders is still 21.
So i believe the answer should be D.
Please correct me If i am wrong

I think the ans should be B

Stmt 1 - Choose 7 nos 7, 20, 27, 34, 41, 48, 55.. divide all of them range of remainders is 6. Sum of remainders = 36

Another set 7, 15, 22, 29, 36, 43, 55.. range of remainders 6. sum of remainders = 11.

NOT SUFF

Stmt 2 - All seven nos are consecutive integers so remaiders will be 0, 1, 2, 3, 4, 5, 6. Sum of remaidners = 21 SUFF

I got it .I misunderstood the first statement of the DS.
Thanks

..Do i even need to say this ... DS questions go in the DS section .. Moved to DS section.

I also mis-read the 1st option.

But say if the 1st option had been:-

The range of the seven numbers is 6.

Then, is D a correct option.

Thanks
Amit

Can someone tell me what THE RANGE of the remainders mean?

Ian,

Any tip how NOT to miss such fine points in the real thing?

This has been a big challenge to overcome which is costing me a lot of points.

Ian Stewart wrote:

[email protected] wrote:Q32:
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.

ihcbr wrote:Can someone tell me what THE RANGE of the remainders mean?

They mean 'range' as the word is used in statistics:

range of a set = largest element of the set - smallest element of the set.

If we only know the range, we can't be certain of the sum of the remainders. Our numbers might be 7, 8, 9, 10, 11, 12, 13, in which case we'd have the remainders 0, 1, 2, 3, 4, 5, 6. On the other hand, our numbers might be 7, 14, 21, 28, 35, 42, 48, in which case our remainders will be 0, 0, 0, 0, 0, 0, 6. In each case the range is 6, but the sum of the remainders is different, so S1 is not sufficient.

Hello!

As per below, you stated, range = highest value - lowest value. then you gave the data set; 7, 14, 21, 28, 35, 42, 48. how can the range of this be 6????? is should be 48 -7 = 41.

I don't understand am i missing something here? pls explain why statement 1 is not sufficient! thanks!



then how is the range of these numbers 6?

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.

They mean 'range' as the word is used in statistics:

range of a set = largest element of the set - smallest element of the set.

If we only know the range, we can't be certain of the sum of the remainders. Our numbers might be 7, 8, 9, 10, 11, 12, 13, in which case we'd have the remainders 0, 1, 2, 3, 4, 5, 6. On the other hand, our numbers might be 7, 14, 21, 28, 35, 42, 48, in which case our remainders will be 0, 0, 0, 0, 0, 0, 6. In each case the range is 6, but the sum of the remainders is different, so S1 is not sufficient.

I guess the question says the range 6 for te remainders and not the nos. themselves....