Suppose a is an integer. If a mod 7 = 4, what is 5a mod 7

Chapter 4, Problem 20E

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QUESTION:

Suppose a is an integer. If a mod 7 = 4, what is 5a mod 7? In other words, if division of a by 7 gives a remainder of 4, what is the remainder when 5a is divided by 7?

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QUESTION:

Suppose a is an integer. If a mod 7 = 4, what is 5a mod 7? In other words, if division of a by 7 gives a remainder of 4, what is the remainder when 5a is divided by 7?

ANSWER:

Solution:Step 1:In this problem, we need to find if the division of a by 7 gives a remainder 4, then what is the remainder when 5a is divided by 7.

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