Knewton Brutal Math Challenge - Week 8

by , May 12, 2010

The shirt is once again in play. Show your work.

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If A,BCD is a four-digit positive integer such that A,BCD is equal to the product of the two-digit number AB and the three digit number ABC, which of the following two-digit numbers cannot be a factor of A,BCD? (Note: the first digit of a number cannot be equal to 0.)

i. AD

ii. CD

iii. CA

(A) None

(B) II only

(C) III only

(D) II and III only

(E) I, II, and III