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(-6 x 5) (mod 7) is

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-2

-5

answer is B.

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Detailed Solution

Given:

To solve the expression (-6 × 5) mod 7, follow these steps:

Multiply the numbers:

-6 × 5 = -30

To find -30 mod 7, determine the remainder when -30 is divided by 7. This can be done by adding 7 repeatedly to -30 until the result is a non-negative number less than 7:

-30 + 7 = -23

-23 + 7 = -16

-16 + 7 = -9

-9 + 7 = -2

-2 + 7 = 5

Thus, -30 ≡ 5 mod 7.

Final Answer: b. 5

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