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What is the remainder when $1003 \times 1007 \times 1011$ is divided by 1000?

Competition practiceNumber System, HCF & LCM

A231
B21
C31
D0

Step-by-Step Solution

Each factor leaves 3, 7 and 11 on division by 1000, so the product leaves the same remainder as

3 \times 7 \times 11 = 231

.

Answer: A) 231

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