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SET 3 Q 32

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by [email protected] » Tue Sep 11, 2007 4:36 pm
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.
(2) The seven numbers selected are consecutive integers.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Source: — Data Sufficiency |
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by [email protected] » Tue Sep 11, 2007 5:22 pm
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
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by kajcha » Tue Sep 11, 2007 7:39 pm
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
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by [email protected] » Tue Sep 11, 2007 7:40 pm
I got it .I misunderstood the first statement of the DS.
Thanks
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by gabriel » Tue Sep 11, 2007 11:16 pm
..Do i even need to say this ... DS questions go in the DS section .. Moved to DS section.
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by erjamit » Fri Jul 18, 2008 10:37 am
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
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by ihcbr » Sun Apr 26, 2009 9:56 pm
Can someone tell me what THE RANGE of the remainders mean?
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Re: SET 3 Q 32

by Ian Stewart » Mon Apr 27, 2009 5:31 am
[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.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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Re: SET 3 Q 32

by aj5105 » Fri May 15, 2009 3:19 am
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.
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by mitzwillrockgmat » Thu May 20, 2010 7:41 am
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.
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by ansumania » Sat May 22, 2010 4:53 am
I guess the question says the range 6 for te remainders and not the nos. themselves....
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