CAT Quantitative Ability Questions | CAT Number System questions
CAT/1998
Question . 142
A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29.
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(a) Dividend = Divisor × Quotient + Remainder = 899 Q + 63
Dividend = 29 × 31Q + 29 × 2 + 5 = 29(31Q + 2) + 5
Hence, remainder = 5 when same no. is divided by 29