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

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: 2. If x mod 5 = 4, then x could be O 571 O 400 O 633 O 719

A: Given               x(mod 5)=4

Q: Q If a b (mod n) and gcd (a, n) = d, then gcd (b,n) = d :Select one True False

A: We have check whether the statement, "If a≡bmodn and gcda,n=d then gcdb,n=d" is true are false.…

Q: The value of 52003 mod 7 is? 4 0 3 0 9 O 8 0

A:

Q: II. Give FIVE different answers for each of the following. 1. 49 = mod 10 2. 82 = mod 9 3. 100 = mod…

A: 1) Given expression is  49≡______ mod 10

Q: mod

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: (c) For each integer a, if a 4 (mod 8), then a 2 (mod 8).

A:

Q: Find the value of 3443 mod 23 4 16 O 3

A:

Q: x is congruent to 43 mod 12. Then x is

A: x is congruent to 43 mod 12 implies x congruent 7 (mod 12). So, solution in the least residue system…

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

A: Answer is 91.

Q: (-130 mod 20·265 mod 20) mod 20 ?

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: Determine which of the following statements are true: a. 54=72(mod16)

A:

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

A:

Q: The integer solution of the 2x³ + 7x – 4 = 0(mod 5), then а) х—4(тod 25) b) x = 1(mod 5) c) x =…

A: Congruence

Q: Let S={xeZ:x+2=6(mod 15)}. Then S is

A: Given,    S=x∈ℤ:x+2≡6mod15. then S is

Q: Which is correct? 24 - 27 = 5 (mod 4) 19 × 27 = 7– 3 (1mod 6) %3D 72+5 = 32 (mod 9) 74 = 164 (mod…

A:

Q: The remainder in 14 (mod 3) is 3

A: Given that 14 (mod3)

Q: The value of 52003 mod 7 is? 4 0 8 0 3 0

A: See the detailed solution below.

Q: 4. The statement P-> Q is equivalent to -PA Q. 5. To prove the statement: If ab = 0 then a = 0 or b…

A:

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

A:

Q: Given these statements about a, b, and c, • a = 3 (mod 8) • b = 2 (mod 8) • c = 1 (mod 6) Which of…

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: you Prove the " of 25nY-18n +7 =0 (mod4), then statement contradiction. is by "even

A:

Q: The value of 52003 mod 7 is? 9 O 8 0 3 0 4 0

A: ab(mod c)=d where d is remainder when ab is divided by c.Here a,b and c are integers

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

A:

Q: which of the below integers is congruent to 6 modulo 12 O none 40 30 34

A: 30

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, 42) =1, then a^6-2=?mod 168 1 -1 None of these

A: Just apply the Fermat's Theorem.

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: 2) If a? = b² (mod n), then a = b (mod n) a) True b) False O a) True O b) False

A:

Q: III. Determine the value of a such that: 10. a = 11 (mod 21) and 90 s a s 110 11. a = 19 (mod 29)…

A: The given questions are related to congruences. The solution is explained below.

Q: 5. The value of 693 mod 11 is O 3 O 7 O 6 4

A:

Q: -) Find the solutions, if any, of each congruence. 21x 10 (mod 35) 9x = 15 (mod 21).

A: We know that, ax≡b mod n has solution if and only if gcd(a,n) divides b.

Q: Suppose that a and b are integers, a = 4 (mod 13), and b = 9 (mod 13). Find the integer c with 0 < c…

A:

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

A:

Q: (a) For each integer a, if a? = 1 (mod 10), then a = 1 (mod 10). (b) Let a, b, and c be integers. If…

A:

Q: A sequence of pseudorandom numbers is generated as follows Xo = 4 x₁ = ( 6x₁-1 + 5 ) mod 13 if i > 0…

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: True/False: If 10x = 20 (mod 8) holds, then x = 2 (mod 8) must be true.

A: True.

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: Which is the solution of 71x congruent to 5 mod 142. 38 57 85 None of the above

A: To determine which of the given is the solution of 71x≡5mod142.

Q: Does

A:

Q: If 3(26!) = x(mod29), then x = None of the choices O 11 13 15

A: The given problem is to solve the given congruence equation. 3(26!)= x (mod 29).

Q: Answer each of the following questions. V ? 1. 23 = 56 mod 4 True 2. 24 = 154 mod 13 False 3. –4 = 4…

A:

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.