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09 Nov 2008, 20:32
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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.
(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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09 Nov 2008, 20:50
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(1) The range of the seven remainders is 6. ---> not suff, you can take several examples(there are many integers which have the same remainder)
(2) The seven numbers selected are consecutive integers. ---> the mutiple of n consecutive integers can be divided by n, meaning one of these consecutive integers can be divided by 7. so the sum of remainders is the sum from 1 to 6, suff
B
(2) The seven numbers selected are consecutive integers. ---> the mutiple of n consecutive integers can be divided by n, meaning one of these consecutive integers can be divided by 7. so the sum of remainders is the sum from 1 to 6, suff
B
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
