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Remainder Resolution from Multiple (Posted on 2016-08-04) Difficulty: 3 of 5
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 ?

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

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Some Thoughts answer only | Comment 1 of 5

The method is too clumsy to be worth noting.

However 308/(8*27) = 1*216+92, while 308/27 = 11*27+11.

If x=27, y=308, then y/(4x) = 77/27 =2*108+92/108, so the answer is 92.



Edited on August 5, 2016, 2:38 am
  Posted by broll on 2016-08-04 08:59:53

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