CAT Quantitative Ability Questions | CAT Number System questions
CAT/2000
Question . 130
There are two integers 34041 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n?
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(b) Let the common remainder be x. Then numbers (34041 – x) and (32506 – x) would be completely divisible by n.
Hence the difference of the numbers (34041 – x) and (32506 – x) will also be divisible by n or (34041 – x – 32506 + x) = 1535 will also be divisible by n.
Now, using options we find that 1535 is divisible by 307