Remainder of Product Divided by 12

CAT 2000 Slot 1 · Quantitative Ability · Easy · Number Systems

This is an easy Quantitative Ability question from the CAT 2000 Slot 1 paper. It tests Number Systems. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

All CAT 2000 Slot 1 questions More Number Systems questions All CAT QA

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

Explanation

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

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace

Remainder of Product Divided by 12

Explanation

Related Number Systems questions

Practise this under exam conditions