Question 280933: A number that when divided by 126 leaves a remainder of 125, when divided by 75 leaves a remainder of 74 , when divided by 24 leaves a remainder of 23, and when divided by 20 leaves a remainder of 19 is
A 10,421 b 11,624 c 12,601 d 13,714 e none of these
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! I would have to say none of these.
that would be selection E.
Here's why:
The first thing I did was to find one of the numbers that was listed to be divided by 126 leaving a remainder of 125.
10421 / 126 = 82 with a remainder of 89
11624 / 126 = 92 with a remainder of 32
12601 / 126 = 100 with a remainder of 1
13714 / 126 = 108 with a remainder of 106
Since 126 does not divide into any of the numbers listed with a remainder of 125, then having one number that's listed that is divisible by all of the stated divisors with the stated remainder is impossible.
I don't even know if such a number exists, but if it does, it is definitely not one of the numbers listed.
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