Let n be a 5 digit number and let q and r be the quotient and remainder

Let n be a 5 digit number and let q and r be the

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Letnbe a 5-digit number, and letqandrbethe quotient and remainder, respectively, whennisdivided by 100. For how many values ofnisq+rdivisible by 11 ? (A)8180(B)8181(C)8182(D)9000(E)9090 2003 AMC 10 A, Problem #252003 AMC 12 A, Problem #18n= 100q+r=q+r+ 99q.” Difficulty: Hard NCTM Standard: Number and Operations Standard for Grades 9–12: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Mathworld.com Classification: Number Theory > Arithmetic > Multiplication and Division > Division
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