The order of 5 mod 17 is

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

A: Given a statement

Q: Find the answer of -16 mod 5

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

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Q: Find an integer x satisfying the equation: 4x21 = 2(mod 5) or show that no such integer exists.

A:

Q: Express each nonnegative integer a less than 15 as a pair (a mod 3, a mod 5).

A: The values of a could be, 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14.

Q: Suppose a and b are integers, a = 15 (mod 23), andb=7 (mod 23). Then integer c with Osc< 22 such…

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Q: Find 12 ^– 1(mod 17), the inverse of 12 modulo 17

A: Find an inverse of 12 modulo 17 as follows.

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

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

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Q: (-130 mod 20·265 mod 20) mod 20 ?

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Q: The inverse of 7 modulo 26 is 15

A: Given a statement

Q: Solve the givnen congruence x2 ≡ 9 (mod 600).

A: The given problem is to solve the given congruence equation. x2=9 (mod 600).

Q: If x = 2 (mod 5) and y = 4 (mod 5) then 2x – 3y =? (mod 5)

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Q: Given a = 4( mod 9) and b = 5( mod 9), find c with 0<c<9 such that c = 5a + 3b ( mod 9)

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Q: Find all the whole number solutions of the congruence equation.x x 5 mod 9

A: The objective is to find all the whole number solutions of the congruence equation.x x = 5 mod 9

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

A: 9446(mod 47)

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

A: Given that 14 (mod3)

Q: 4. If x mod 7 = 3, then x27 mod 7 is O 3 0 6 O 5 O 4

A: Given :- x mod 7 = 3

Q: Suppose that message is to be encrypted using the formula c=9p mod 26. What is the formula that you…

A: The message p is encrypted as c using the formula, c≡9p (mod 26)

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

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

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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: Suppose that a ≡ 9(mod 13) and b ≡ 7(mod 13). Find the integer cwith0≤c≤12suchthatc≡2a2 −6b2(mod13).

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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

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Q: Find a number a such that 70a = 1 mod 17.

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Q: In the formula a b (mod n), what is the value of b in 36 b (mod 5)?

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

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

Q: Suppose that a = 3 mod 12 and b =7 mod 12 IfC = 3 a – 2 b mod 12 then C =

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

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Q: The order of 2 mod 17 is: a) 2 b) 4 c) 8

A: The order of a modulo p then is the least positive integer n such that an ≡ 1(mod p) where p is a…

Q: Suppose that a and b are integers, a = 4(mod 13), and b = 9(mod 13). Find the integer c with 0<c< 12…

A: We will use the basic properties of congruence modulo n relation to answer this question.

Q: Suppose that a and b are integers, c b = 3 (mod 19). Find the integer c that a) с%3D 13а (mod 19).…

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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: 27 = x(mod 5) is true if x =

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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: Calculate the following: 224 (mod 9) = ?

A: The expression a mod b gives the remainder obtained when a is divided by b. The reminder can be…

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

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Q: Find the whole number of (3+12) =7 mod 10

A: The given equation (3x+12) ≡7 mod 10. Consider the following congruence equation (3x+12) ≡7 mod 10.…

Q: (a) What is 84 (mod 9)? (b) What is 52 (mod 5)? (c) What is -4 (mod 10)?

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Q: Show that if x mod 8 = 1, then (3x −5) mod 6 = 4.

A: Solution

Q: Find the order of 5 modulo 31.

A:

Q: 8. a = 20 (mod 31) and -15 s as 15.

A: As per the guidelines I am supposed to answer the first question only . For the other questions…

Q: 2222 (mod 13) is equal to 12 (mod 13) 2 (mod 13) None of the mentioned 6 (mod 13) 1 (mod 13)

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Q: The equation 12x=24 (mod 48) has:

A: ANSWER IS 12 NON  CONGRUENT SOLUTIONS MODULO 48

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

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

Q: For any integers m and n, if m mod 11 is 6 and n mod 11 is 7, what is m+n mod 11? 13 9 42

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.