Fermat 2023 Part A - Question 5, CEMC UWaterloo

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This problem is tagged with fermat, fermat23, highschool.

(Fermat 2023, Part A, Question 5, CEMC - UWaterloo)

Ava’s machine takes four-digit positive integers as input. When the four-digit integer $ABCD$ is input, the machine outputs the integer $A \times B + C \times D$. For example, when the input is $1234$, the output is $1 \times 2 + 3 \times 4 = 2 + 12 = 14$. When the input is $2023$, the output is
$(A)$ $0$
$(B)$ $2$
$(C)$ $3$
$(D)$ $6$
$(E)$ $8$

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