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Hi Bunuel, Please confirm if the below is correct... If it was given : m is not necessarily an integer then the answer would be E ? My reasoning: 1) m could 14 x integer or m could be 14 x 2.5
2 ) n = 2 or 7
Then by combining 1 and 2, m/n can still be fraction ( 2.5 in this case) hence E
Statement 1: m = 14k, where k is a positive integer. Can't say if m/n is an integer since 14/3 is not an integer and 14/7 is an integer.
Statement 2: n is a divisor of 14. This means n can be 1, 2, 7 or 14. But the statement alone does not tell us about m/n. m/n could be 5/7 (is not an integer) or 14/7 (is an integer).
Statements 1+2:
m = 14k and n=1,2,7 or 14. For all the 4 values of n, m/n is an integer. Hence this is sufficient to answer weather m/n is an integer. Hence answer is C
The attempted questions should also show the answer test taker opted for initially when clicked on explanation. After a long test you don't remember what option you chose and it can help you assess your own mindset while making a particular mistake. But this should only be shown when clicked on explanation. otherwise, it needs to be hidden.
(1) \(m\) is a multiple of 14. Not sufficient as no info about \(n\).
(2) \(n\) is a divisor of 14. Not sufficient as no info about \(m\).
(1)+(2) As from (2) \(n\) is a divisor of 14 then it must be a divisor of every multiple of 14, therefore it's a divisor of \(m\) too. Sufficient.
Answer: C
Please help me clear my confusion: When statement 2 says that "'n' is a divisor of 14", why did we assume that it is a factor of 14 ? since it is a divisor, it can or can not completely divide 14 or any of its multiples.
Any help would be appreciated. Thanks in Advance!! _________________
~R. If my post was of any help to you, You can thank me in the form of Kudos!!
(1) \(m\) is a multiple of 14. Not sufficient as no info about \(n\).
(2) \(n\) is a divisor of 14. Not sufficient as no info about \(m\).
(1)+(2) As from (2) \(n\) is a divisor of 14 then it must be a divisor of every multiple of 14, therefore it's a divisor of \(m\) too. Sufficient.
Answer: C
Please help me clear my confusion: When statement 2 says that "'n' is a divisor of 14", why did we assume that it is a factor of 14 ? since it is a divisor, it can or can not completely divide 14 or any of its multiples.
Any help would be appreciated. Thanks in Advance!!
A divisor = a factor, it's an integer which divides another integer without a remainder.
_________________
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84% (00:30) correct 
