Find each of these values a. (123 mod 19+342 mod 19) mod 19 b. (123 mod 19 342 mod 19) mod 19 c. (122 mod 17)³ mod 11 d. (54 mod 7)³ mod 13

Q: Find x in each of the cases below. If possible a detailed explaination. Thank you.  x19= 36 mod 97…

A: Solution: (a) Here n = 97. Compute φ(n) = 96. Set e = 10.>> n = 97n =97>>…

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…

Q: . If 4x - 3 = 19 (mod 31), then the value of x (mod 31) is O 26 О 18 D 21 D 30

A: Arithmetic modulo

Q: Determine how many solutions there are for the congruence 2x= 14 (mod 16). If a solution exists,…

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

Q: Which one of the following can be used to find text message in RSA decryption mΞcd (mod n) m=c° (mod…

A: concept:

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: Find all solutions for x, up to congruence. x ≡ 1 mod 4 and x ≡ 7 mod 13.

A:

Q: Perform the following calculations. a. (14 + 30) mod 19 b. (14-30) mod 19 C. (3*13) mod 19

A: To perform the given calculations we shall use the following rules…

Q: Give the least possible nonnegative solution for each of the following. 90 x (mod 11) 63 = x (mod 9)…

A: To find least positive non-negative solution?

Q: 2= 12 mod 2 - - 2 = 11 mod 18 20 = -2 mod 19 - 2= 20 mod 2 - -17 = 20 mod 8 6.7 = -14 mod 11 - -1 =…

A:

Q: Which a. 24 b. 56 of the following is true? 3(mod4) 4(mod5) c. 62 = 4(mod4) d. 58 3(mod5)

A: We want to find true option.

Q: (-130 mod 20·265 mod 20) mod 20 ?

A:

Q: 355 ( mod 7) + 234 ( mod 7)

A:

Q: Determine which number, 0 through 6, 93 is equivalent to in modulo 7. a 93 = 3(mod 7) 93 = 4(mod 7)…

A: We want the number 93 is equivalent to in modulo 7.

Q: 1. Solve each of the following. 14x = 1 (mod 45) 24x = 35 (mod 59) а. b. 62x = 1 (mod 99) С. d.

A:

Q: Consider 64z 16 mod 196. The number of solutions mod 196 is Oa None Ob 3 Oe 1

A: We find the number of solutions incongruent mod 196

Q: III. Fill-in the blanks. Tare more than 1 answer. Choose any. 1. 46 = 26 mod 2. 156 = mod 15 3. 41 =…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: One of the foll owing is not true: Oa 0= 10 mod 5 b None Oc 14=2 mod 6 Od 20 =0 mod 5 Oe -24 mod 6

A: Here we use rules of modular operation.

Q: Which one of the following is correct? a. 30 쓰 3 (mod 5) O b. 25 3 (mod 4) O c. 31 3 (mod 7) Od 20 3…

A:

Q: 1. A+B (mod 173) 2. C-D (mod 432) 3. 23 x E (mod F) 4. G+5 (mod 7) АВМ 1А A B C E F G Hannah 7550…

A:

Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

A:

Q: Compute (2100 mod 3), (2100 mod 5), and (2100 mod 7). Explain how you got the answers.

A:

Q: all Natural numbers, n, that make 62 ≡≡ 46 mod n. Show all your work:

A:

Q: Perform as indicated. a. Given 22 = 12 mod 5 & -1 = 14 mod 5, Find the sum, the difference and the…

A:

Q: 4. Using your work from the earlier parts or independently find: (a) mod 8 (b) + mod 23 17 (c) mod 7

A: Given

Q: Determine what number the product is congruent to in mod 3. 5.8 5.8 = (mod 3 )

A:

Q: Evaluate: mod 13= -19 div 7

A: To find: 98 mod 13

Q: Find an integer A so that: A79 = 7 (mod 277) Please solve step by step thanks!

A: Given an equation. Let's solve for A.

Q: 3- Find a positive integer a such that a. a-3(mod 43) b. a 7 (mod 9). c. a-13(mod 23)

A:

Q: 25. The value of x in (7x is congruent to 12 mod 17) is O 16 15 9 13 (mod 17)

A:

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

A: True.

Q: (-130 mod 20·265 mod 20) mod 20 ?   clear answer please

A: a mod b gives the remainder when a is divided by b That is we express it as a=b q+ r where r is the…

Q: VI. Determine four values of x that will satisfy the following. 16. x = 4 mod 5 & x = 3 mod 7

A:

Q: X=1 (mod 81) and X = 7 (mod 12), as the solutions to a single congruence.

A: It is given that X=1mod81 and X=7(mod12) Here a1=1,a2=7,n1=81,n2=12 Therefore:…

Q: Which of the following satisfies the congruence 3x O O 2 T - 2 (mod 5)?

A: