CAT Quantitative Ability Questions | CAT Number System questions

CAT/2000

Question . 126

Let D be a recurring decimal of the form D = 0.a1 a2 a1 a 2 a 1 a 2 .............where a1 and a2 lie between 0 and 9. Further at most one of them is zero. Which of the following numbers necessarily produces an integer when multiplied by D?

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Method of solving this CAT Quantitative Ability Question from Number System question