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Modulo Operations

When 778 is d...

Question

When 778 is divided by 7, the remainder is _________.

A

1

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B

0.0

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C

4

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D

2

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Solution

The correct option is A 1
We know that 777 is divisible by 7
$777 \equiv 0 (m o d 7)$
$777 + 1 \equiv 0 + 1 (m o d 7)$
$778 \equiv 1 (m o d 7)$
$∴$ The remainder when 778 is divided by 7 is 1.

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