abhi332 wrote:If j and k are positive integers where k > j, what is the value of the remainder when k is divided by j?
(1) There exists a positive integer m such that k = jm + 5.
(2) j > 5
Right off the bat you can see that (2) itself is not sufficient. Lets say j = 6, which satisfies (2). Well then k could be 6, and the answer would be 0, or k could be 7 and the answer is 1. (2) is not sufficient.
(1) is more interesting. The question asks for the remainder when k is divided by j
k/j = X r R
Where X is the integer value of k/j and R is the remainder. But whats another way to say this? You might say that, since k>j, that k is equal to some integer times j plus the remainder. For example say k = 10 and j = 7
10/7 = 1 R 3
OR
10 = 7*1 + 3
Which is exactly what (1) is giving you. Its giving you that k = j*m + 5 where m is an integer and 5 is the remainder. But you don't know that the multiple is greater than 5, which would be necessary for this to work. (2) gives you that condition.
Hence choose (c)
...Got confused between the Quotient and Remainder
