Remainder of Product Divided by 12

CAT 2000 Slot 1 · QA · Easy · Number Systems

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Let $N = 1421 \times 1423 \times 1425$ . What is the remainder when $N$ is divided by 12?

A.
0
B.
9
C.
3
D.
6

Answer

C

Explanation

$1421 \equiv 5 \pmod{12}$ $1423 \equiv 7 \pmod{12}$ $1425 \equiv 9 \pmod{12}$ $N \pmod{12} \equiv 5 \times 7 \times 9 = 315 \pmod{12} \equiv 3$ .

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