In the equation y = 36.12x, x and y are integers. If yx leaves a remai

hi,

I have taken it because the sentence reads -

1) It says it is a equation, so y=36.12x should be 36.12 * x..
2) It says x is an integer, again it means 36.12 * x..
Otherwise x would be just a digit and it would be mentioned..

Although not clearly mentioned that 36.12x is actually 36.12 * x, BUT entire info points towards that..
and that is why I have taken y/x = 36.12

Hi chetan2u

slightly silly doubt , but arn't all 3, 6, 12 multiples of 3? then why did you just pick 3 as an answer? i actually got stuck with answer options - B, D and E
TIA for your help

When we say r is multiple of 3, all other mutiple of 3 are also taken in that, so 6 and 12 are also in that.
But if I say it is multiple of 6, then I would mean, it is not necessarily a multiple of 3..
So r as a multiple of 6 excludes all values like 3,9,15 etc
So if r is 3, the value picked as r to be multiple of 6 doesn't stand.

Hi chetan2u, can you link me to such questions?

I find this concept rather difficult

Concept: Given ONLY the Decimal Form of the REMAINDER after we Divide 2 Integers, we can NOT Find the Actual Value of the Divisor ---

BUT, after Converting the Decimal Form to the Fractional Form of the Remainder and then Canceling this Fraction to its Most Fully Reduced Form ----

we can Infer what the Remainder and Divisor must be Evenly Divisible by



Rebuilding the Dividend Formula:

(Dividend)/ (Divisor) = Quotient + (Remainder) / (Divisor)

or

Dividend = (Divisor) * (Quotient) + Remainder



Given:

Y = 36.12X

----Where Y and X are Both Integers----

Y = (36.12) * (X)

(Y) / (X) = 36.12

(Y) / (X) = 36 + 12/100


----Reducing the Fractional Remainder Part to its most Fully Reduced Form-----


(Y) / (X) = 36 + 3 / 25


Following the Rebuilding the Dividend Formula, where X and Y are Integers and the Quotient = 36

(Dividend-Y) / (Divisor-X) = (Quotient-36) + (Remainder = 3k) / (Divisor = 25k)




2 Inferences can be pulled out:

Divisor X must be a Multiple of 25

and

when Integer Y is Divided by Integer X ------>the Remainder = r must be a Multiple of 3


-B-

I am not getting - which of the following must divide into r. What does it mean ? Given number should be multiple of r ?

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