SushiVoyage wrote:
Bunuel Can you please explain me how do we derive the minimum possible value of z?
I was able to understand how we get the minimum value of Y. But I could not understand your explanation for the minimum value of z to be 9.
I am not sure if this is still helpful but there is a property that states that the range of "R" is 0<=R<= D, such that R is remainder and D is divisor.
Hence, the minimum value of z should be 9 because if the value of z were 8 then the "R" of 8 would be divisible by z. In turn leaving the remainder 0 and going against the info provided in the question.
Few more important properties or tips to note/remember in these remainder questions are -
1. In any fraction, Numerator = Remainder and Denominator = Divisor. The same is also true for their multiples. Suppose if we were asked to find out the value of the "R" and "D" using this fraction = 3/4 then the possible values for "R" and D" would be (3,6,9,12 etc) and (4,8,12,16 etc). In its core the absolute value of the fraction should not change.
2. 0 is a multiple of every number possible. Hence, whenever we start to think of the possible values that leave a certain a "R" as a compulsion (unless stated otherwise in the question) we must always start with (0+R) to come up with all possible values.
Hope this is helps!
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