Let a, n be positive integers. Knowing that 15a – 13n = 1, we deduce that the multiplicative inverse of a (mod n) is 15(mod n) O does not exist O None of the mentioned O is (n-13) (mod n)

Q: The statement a ≡ b (mod n) is called a congruence.

A: Given that  The statement a ≡ b (mod n) is called a congruence.

Q: Q. Now make a multiplication table for modulo 3. ol 1 2 IN 0 1 2

A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

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A: concept:

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A: We use the properties of congruences to answer the given question.

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Q: Question 13 3 = 5 (mod2) OTrue O False

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Q: Let a, n be positive integers. Knowing that 15a - 13n = 1, we deduce that the multiplicative inverse…

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A: We need to find the remainder when n is divided by 4 .

Q: #5. Suppose that a = 2 (mod 113), and b = 5 (mod 113) What is (a b + 56b + 155) mod 113?

A: given a≡2(mod113),b=5(mod113)a3≡23(mod113)a3b≡235(mod113)56b≡280(mod113)56b≡54(mod113)155≡15mod113)

Q: Fin o all SoinEl ons 6 x EIO mod

A: For x in {0, 1, 2, . . . . . 43}, value of 6x ranges from 0 to 6x43 = 258. Now 6x = 10 (mod 44)…

Q: If a = 1 (mod n) and b = 1 (mod n) then a - b = 0 (mod n) اختر واحدا: 2 3

A: True.

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Q: Need help with a&b

A: For (a), The statement is false. Counter Example: Let x = 2 and y = 3. Notice that xy = 6 ≡ 0 mod 6…

Q: Let a, n be positive integers. Knowing that 15a – 13n = 1, we deduce that the multiplicative inverse…

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Q: Does 5x = 6 mod 12 have a solution? How many?

A: As per our guidelines we are supposed to answer only One question  if there are multiple questions…

Q: QUESTION 5 Consider the linear combination 1 = 13(3) + 19(-2) then, a. The multiplicative inverse of…

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A: We know that the property of congruence

Q: O 1: If n is an odd, then solve (x- 1)(x +2) = (x - 2)(x+ 7) (mod n).

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…