The integer n = 12700140x3243243 is missing the digit x. a) If n congruent to  3 (mod 9), then what is x ? Hint: Use the fact that 10 congruent to 1 (mod 9). b) If n congruent to 3 (mod 11), then what is x ? Hint: Use the fact that 10 congruent to –1 (mod 11).

Q: 99999 9999 =9 (mod 10) Select one: True False

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Q: if a equiv b (mod n) , then a⁴ equiv b⁴ (mod n) for any positive integer 4.

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Q: The square of an even integer is congruent to 0 (mod 4). Select one: O True O False

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine whether each case is true or not : * a. 44 = 13 (mod 3) > b. -55 = 5 (mod 4) → c. 74 = 1…

A: If a and b are integers and n > 0, we write a≡b(mod n) to mean n/(b-a). We read this as “a is…

Q: How many square roots of 3 (mod 1001) are there? (Hint: 1001 = 7 * 11 * 13)

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Q: (135+136) 123 =1 (mod 10) Select one: True O False

A:

Q: Find (853 mod 79)4 mod 27

A: Division algorithm : Let a be an integer and d be a positive integer, then there exists unique…

Q: How to find 85307 (mod 739)?

A: To make it simple , divide power by 4 then solve .

Q: Show that 127 = -16(mod 13) and show that 300 = 1(mod 13).

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Q: Find 8081 mod 11.

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Q: Findy Sytil It 3 15 = 3 (mod 17)

A: Given that: 35y+11≡315(mod17). To find the value of y is obtained: mod of a number is obtained by…

Q: 12 = -3 (mod 5) Select one: True False

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Q: Find 1112 mod 13.

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Q: The value of 52003 mod 7 is? (3 (4 8) 9

A:

Q: Find the integer that satisfies: 30x4 ≡ 12 (mod 67)

A: Given the expression is, 30x4≡12mod 67

Q: Find all integer values of x for which 3x = 4 (mod 8).

A: given congruence equation 3x≡4(mod 8)

Q: Which pairs of the integers -11, -8, -7, -1, 0, 3, and 17 are congruent modulo 7?

A: -11≡3 (mod 7) holds  Since -11-3 = -14 is divisible by 7 and leaves remainder 0. -7≡ 0 (mod 7)…

Q: Determine if x² = 29 mod 541 has a solution.

A:

Q: To Determine the value that 46 is congruent to IN modulo 7

A: Note that, If a and b are integers and n > 0, then a ≡ b (mod n) to mean n|(b − a) and It can be…

Q: Which value of x satisfies x= 233 (mod 7)? O 495 o 699 o 424 o 352

A: 352

Q: The value of 52003 mod 7 is? (3 4 8

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Q: D. List five different natural numbers that are congruent to 8 modulo 6. E. List five different…

A:

Q: Find 123 (mod 11) + 321 (mod11).

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Q: State whether True or False: If A and B are integers and A ≡ 3 (mod 3) and B ≡ 2 (mod 6) then A+B ≡…

A:

Q: Evaluate the following expression: 55 \ 5 * 6 Mod 3.

A: Assuming that the expression is the following: 55 / 5 * 6 Mod 3 Apply the following modular…

Q: Find (177 mod 31 + 270 mod 31) mod 31. Show your wor-

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Q: O Find 5675 (mod 19

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Q: -2345 (mod 6) -39 (mod 3) -371 (mod 8)

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Q: Find 17376 mod 23 and explain how did you calculate it.

A:

Q: Does

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Q: The equation 21x = 49 (mod 77) has: O no solution modulo 77 only 11 non-congruent solutions modulo…

A: Here we have given equation,  21x = 49 (mod 77)    Let a, b and m be integers such that m>0 and…

Q: Find 5483. mod 13.

A:

Q: True or false: If a and b are integers satisfying 4a congruent 4b(mod 20), then a congruent b (mod…

A: Given that  4a≡4b(mod 20)4a-4b is a multiple of 20 4(a-b)*x = 20 (a-b)*x = 5

Q: Ib TOO Za Сто

A:

Q: Find (173 mod 29)4 mod 19.

A: Find (173 mod 29)4 mod 19.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.