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

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

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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: I. Solve for the smallest value of x in the following linear congruences. 1. x = 3 mod 6 and x = 4…

A: To solve given linear congruences

Q: QUESTION 16 17° = 7° (mod 4) .8 True O False

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

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Q: Let s={xEZ:x+2E6(mod 15)}. Then S is *

A: a countable set

Q: If x mod 5 = 2 and y mod 5 = 3, then xy could be D 306 D 843 D 342 O 197

A: See solution below

Q: Q2: Solve the following (if possible): 1. = 5x + 11 mod 37 3

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

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

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

A: Given that 419 mod 7

Q: O Find Adi A if A= [5 2 1. 3. 4 6 3 2 3 5 4 1 hnd Adj A if A=

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Q: Let a, b, c E N. Prove the following using contrapositiah: if a? + b2 + c2 = 3 mod 4 then a + b+ c 0…

A: Prove the statement using contraposition.   "Let a,b,c∈ℕ. If a2+b2+c2≡3 mod 4 then a+b+c≢0 mod 4."

Q: If x1 mod 17 = 5 then %3D x mod 17 = 7 x mod 17 = 6 Ox mod 17 = 5

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Q: The inverse of 7 modulo 26 is 15

A: Given a statement

Q: In 7 9 6. 6 5 is equal to A In r + Blns where A = and where B

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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: 4) If FA1 AD, ED 1 AD, AB DC , and FC EB, prove FC EB.

A: Similar triangles

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

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Q: Question 13 3 = 5 (mod2) OTrue O False

A: We have to check that the given statement is true or false.

Q: If x = y (mod n) and u = v (mod n) then which of the following is true (a) x + u = y + v (mod n) (b)…

A: Given that x≡y (mod n) and u≡v (mod n)

Q: 1. Find the value for q given: (a) 39 = 4( mod 5) (b) -43 = 1( mod 4)

A: Note: Hi! Thank you the question, As per the honor code, we'll answer the first question since the…

Q: If 3 5 A = then det(A") = 9 Select one: O True O False

A: Topic = Matrix True

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

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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: 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: The value of 52003 mod 7 is? 80 3) 4

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

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

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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: (18) If a, be Z, then (a + b)3 = a3 + b3 (mod 3).

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: Given 3 * 4.52 = x(mod 53), Here x is equal

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

Q: One of the following is a solution of 81x = 54 (mod 108) 43 47 45 42 has no solution

A: We are given the Equation :

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

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Q: Suppose that In A = 3 , In B = 4 , and In C = 5 . %3D A? Evaluate In ВС

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Q: The number of mutually incongruent solution(s) of 306x = 90 (mod 360) 20 30 18 O 6 0

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

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Q: If a = b (mod 5), then... Choose all correct statements. O a3 = b³ (mod 5) O a + b = 0 (mod 10) O a…

A: Option (a), (c), and (d) are correct options.

Q: Given the following system (M). (x = 2(mod 13) x = 1(mod 14) x = 3(mod 15) x = 2(mod 16) Which among…

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Q: The value of 5151 in U7 is 1 None of the choices

A: we use the fact that  U7 is equivalent to Z*7

Q: x is congruent to 21 mod 8. Then x is None of the option 29 16 24

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Q: 5. Let C = {x ∈ Z|x ≡ 7( mod 9)} and D = {x ∈ Z|x ≡ 1( mod 3)}. (a) If C ⊆ D? Justify your…

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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: Let S:= {1<a<p – 1:() = 1} . Ifp = 1 mod 4, show that p(p – 1) 4 rES

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

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

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Q: If gcd(a,20) = 1 then which of the following is true. (а) а20 %3D а (тod 20) (b) а13 %3D а (тod 20)…

A: We have gcd (a , 20) = 1. According to Fermat's Little theorem, if P does not divide a, that is  gcd…