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20 Mar 2008, 08:25
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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.
(1) The range of the seven remainders is 6.
(2) The seven numbers selected are consecutive integers.
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20 Mar 2008, 14:41
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Statement 1:
Tells you that range of remainders is 6. But does not tell if all of them are distinct or not. E.g if remainders are 0,0,0,0,0,0,6 then range is 6. If it is 0,0,0,0,0,1,6 even then range is six.
Statement 2:
Tells us that 7 consecutive numbers are selected. So one of them will be divisible by 7 and rest of them will leave remainders 1,2,3,4,5,6. So sum of remainder can be obtained using this statement alone.
Answer B.
Tells you that range of remainders is 6. But does not tell if all of them are distinct or not. E.g if remainders are 0,0,0,0,0,0,6 then range is 6. If it is 0,0,0,0,0,1,6 even then range is six.
Statement 2:
Tells us that 7 consecutive numbers are selected. So one of them will be divisible by 7 and rest of them will leave remainders 1,2,3,4,5,6. So sum of remainder can be obtained using this statement alone.
Answer B.
