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Out of the given options, the correct answer will be the one having the divisor a multiple of 4,5,6 in order for all 3 of these give the same remainder.
LCM of 4,5,6 = 60.
Out of the given options only option E can be written in the form of multiple of 60 for the divisor as 2*60*n+3
Re: If n is a positive integer, which one of the following numbers
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09 Feb 2016, 19:27
1
Hi BrainLab,
This question can be solved by TESTing VALUES and a bit of arithmetic.
We're told that N is a POSITIVE INTEGER. We're asked which of the following numbers MUST have a remainder of 3 when divided by any of the numbers 4, 5, and 6?
Let's TEST N=1
A) 12N + 3 = 15 --> 15/5 = 3r0. This is NOT a match B) 24N + 3 = 27 --> 27/5 = 5r2. This is NOT a match C) 80N + 3 = 83 --> 83/6 = 13r5. This is NOT a match D) 90N + 2 = 92 --> 92/5 = 18r2. This is NOT a match
for 4: all gives remainder 3 exc. D with remainder 0, D out for 5: A and B gives remainder 0 and 2, respectively, so they out for 6: E gives remander 3
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75% (01:25) correct 
