perplexus.info :: Just Math : Remainder Resolution from Multiple

Remainder Resolution from Multiple (Posted on 2016-08-04)

When a number Y is divided by X - it leaves a remainder of 11.
When Y is divided by 8X , the remainder is 92.

What is the remainder when Y is divided by 4X ?

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The remainder can take one of the five values: 92,11, 27.2, 38, 45+5/7. If X is an integer, then n = 1 or 3, and the remainder must be 92
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Lowest X and Y values	Steve Herman	2016-08-04 20:05:44
Analytical solution yields 5 possible remainders	Steve Herman	2016-08-04 18:50:19
computer solution	Charlie	2016-08-04 10:43:25
answer only	broll	2016-08-04 08:59:58
answer only	broll	2016-08-04 08:59:53

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