x is congruent to 43 mod 12. Then x is None of the option 89 91 75

Q: . If 9x = 15 (mod 37), then x mod 37 is 14 17 33 11

A:

Q: b"=1 (mod n) is valid for which of the following pair (b,n) (9.7,1729) (97,1729) (-97,1729)…

A: Answer

Q: Consider the congruence 4 a 2 (mod 3). Then the value of 'a' could be: O a. the solution does not…

A:

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: Perform as indicated Given 22 ≡ 12 mod 5 and -1 ≡ 14 mod 5, find the sum and the product of these…

A:

Q: mod

A:

Q: 1. The value of 419 mod 7 is O 5 0 6 O 3

A: Given that 419 mod 7

Q: x is congruent to 43 mod 12. Then x is None of the option 91 75 89

A: Answer is 91.

Q: x is congruent to 27 mod 7. Then x is 54 55 None of the option 46

A:

Q: The least positive integer solution for the congruence 2x = 14 (mod 18) is Answer:

A:

Q: If x108 = 1(mod 109) then possible value of x is (а) 108 (b) 218 (c) 109 (d) None c Select one: • bx…

A: Find the possible value of x If x108= 1(mod109).

Q: x is congruent to 31 mod 6. Then x is 40 54 55 None of the option

A:

Q: If 9x = 15 (mod 37), then x mod 37 is %3D 33 11 14 O 17

A:

Q: The value of 9446 (mod 47) is: 46 O 47

A: 9446(mod 47)

Q: a) Find all solutions to the congruence 10r = 5 mod 15

A: Given,

Q: Using Chines Reminder Theorem, Solve the congruence x = 4 (mod 13) x = 5 (mod 11) х 3 11 (тоd 15)

A:

Q: perform the indicated operations: 8+11(mod 12)

A:

Q: Find the value of 14147 (mod 1537) 656 657 None of them 659 658

A:

Q: Consider: for any integers a and b, if (a3 + b3) mod 3 does not equal 0, then (a + b) mod 3 does not…

A: The contrapositive of A implies B is not B implies not A. We use this and solve this problem.…

Q: Use the floor notation to express each of the following. 335 div 13   335 mod 13

A: To use the floor notation to express each of the below expressions. 335 div 13 335 mod 13

Q: The solution of the linear congruence 4x = 5(mod 9) is? 6(mod 9) 10(mod 9) Qmod 9) 8(mod 9)

A: Since, x = 9 n + 8 and n element Z Now,  4x congruent 5 mod 9 implies  x congruent 8 (mod 9).

Q: The value of 538 mod 11 is O 10 O 8

A:

Q: Does x2 + 5x congruent to 12 (mod 31) have a solution? (Hint: complete the square)

A:

Q: 7. Solve the following congruences, and check your answers: (a) x27 = 3 (mod 110) (b) x7" = 4 (mod…

A: We Know that  Definition of Congruence: If a and b are integers and m is a positive integer, then a…

Q: Let c, d e Z and m e N. For each statement decide whether it is necessarily true, or whether it can…

A:

Q: Explain why the following linear congruence has no solutions:   5x ≡ 16 (mod 45).

A: Explain why the following linear congruence has no solutions: 5x ≡ 16 (mod 45).

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

A: 352

Q: b) Determine whether or not x? = 85 (mod 97) has a solution.

A:

Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n

Q: The multiplicative inverse of 52 (mod 141) * O is 19(mod 141) O None of these is 51(mod 141) O is…

A:

Q: he solution of the linear congruence 103x = 444 (mod 999) is ) 111 ) 222 2 333 ) 444

A: We have to find x such that  103x = 444(mod 999)

Q: Let c, d e Z and m E N. For each statement decide whether it is necessarily true, or whether it can…

A:

Q: Solve the following congruence. (While you may check your answer, do NOT use brute force alone.) 1'…

A: The value for x = 6. Find the remainder r using the congruence of modulo. x2 mod 29≡r7 mod 29≡rSo,…

Q: Solve the following congruence equations. 1. x=2 mod 3 2. 9x = 21 mod 30 3. 18x = 30 mod 42

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

Q: If a = b (mod 5), then... Choose all correct statements. O 2(a – b) = 0 (mod 20) O a³ = b3 (mod 5) O…

A:

Q: I. Determine whether each of these integers are congruent to 3 mod 7. 1. 37 2. -17 3. 86

A: We will find out the required solution.

Q: Find an integer x that satisfies the equation. 5* = 4(mod 11) 17x?=10(mod 29) i. %3D ii.

A:

Q: Which of the following satisfies the congruence 4x = 1(mod 5)? O 2 O 3

A:

Q: If 5x = 12 (mod 41), then the value of x (mod 41) is O 33 O 19 D 27 O 17

A:

Q: which one of the following is a congruence ? O23 = 4 mod 5 O 39 = 5 mod 5 O 39 = 10 mod 5 O 29 = 5…

A:

Q: Perform the indicated operations. 2 ÷ 4, (mod 7)   171 × 43, (mod 171)

A: That's easy, just take out remainder when divided by the number in modulo. Have a great day!!!

Q: mod 32, given Xo=1 Please answer w

A: The congruential generator is given as:Xi+1 = 11Xi mod 32, where we are given X0 = 1. We see that,…

Q: 4. Given the Ecryption code R = f(S) = (3S+5) (mod 26), find the decryption code ( i.e. %3D find…

A:

Q: "Given: x = -30 (mod 12) Which of the following integers are valid solutions for x 18- O 30 20 36-

A: Solution:- -30mod(12) To obtain -30mod12 conduct these three steps:

Q: 2. Let A = {n? + n € Z :n € Z} and B = {r € Z : r³ – 32³ + 2x = 0 mod 5}. Prove or disprove: A B.…

A: That's easy, just needs a little congruence. Have a great day!!!

Q: Does ?2 ≡ 23 (mod 79) have any solutions. Justify your answer using the Legendre symbol.

A: Note that the congruence X^2= 23 (mod 79) will have solution if and only if 23 is a quadratic…

Q: Calculate (13, 000 +2)10 (mod 13). Find the omeir lor of 3456 whon dlivided by the following Hint:…

A:

Q: The deciphering formula for C= (11P+16) mod 26 is

A:

Q: Question 7 x is congruent to 51 mod 13. Then x is 102 None of the option 100 103

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

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.