Question

if 76C/5 leaves a reminder 2, what might be the value of C​

Answer 1

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Secondary School Math 13 points

A number, when divided by 5 leaves, remainder 2. when the square of the number is divided by 5, the remainder will be: 4 b 2 c 1 3

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sajeevanoonampb4du0

sajeevanoonampb4du0 Genius

If the number divided by 5 leaves remainder 2, then let the number be 5x + 2.

Squaring 5x + 2,

(5x + 2)²

= 25x² + 20x + 4

= 5 (5x² + 4x) + 4

∴ The square of the number divided by 5 leaves remainder 4.

4 is the answer.

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Answer 2

Answer:

76C is divisible by 5 if C = 0 or 5

Since, it leaves a remainder 2, C = 0 + 2 or 5 + 2.

⇒

C = 2 or 7

∴

For C = 2 and 7, 76C

÷

5 will leave remainder 2.