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Q2 DEFINITION

Let D be a recurring decimal of the form D = 0.a1a2a1a2a1a2a1a2,..., where digits 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?
a. 18
b. 108
c. 198
d. 288

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