1. Fill in the blanks. a. 55 = b. 2048 = c. 406 = (mod 7) (mod 3) (mod 5)

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: Find each of these values a. (123 mod 19+342 mod 19) mod 19 b. (123 mod 19 342 mod 19) mod 19 c.…

A: As per our guidelines only first three subquestions are solved. To get solution of remaining…

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: 2. Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: The given problem is find the approximate value of ln(9.2) from the given data by using quadratic…

Q: Let n = 17. Sha

A: Given: Value of a, b, n. We have to check whether a≡b mod n    or   a≢b mod n.

Q: What are the values of d so that 15(mod d ) = 3?      A. d = {4, 6, 12} B. d = {8, 12, 24} C. d =…

A:

Q: (a) 55 mod 7. (b) –101 div 3.

A: (a) 55 mod 7  As 55 = 7•7+6 So that  55 mod 7 = 6 mod 7

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

A:

Q: (-130 mod 20·265 mod 20) mod 20 ?

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: 16. Which of the following congruencies has NO solution? . A. 24x = 18(mod 39) B. 5x = 4(mod 10) C.…

A:

Q: 1. Solve each of the folling. а. с. d. 115x = 2 (mod 288) 2. Explain why 12x = 1 (mod 75) has no…

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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: 10. Find the value of 5368 (mod 41) Answer: Show your work here:

A: To find the value of- 5368(mod41)

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…

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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: Which of the following is TRUE? -52%3D0( mod 13) OA. -1=-13( mod 13) OB. 446=-278( mod 7) OC. 1=0 (…

A: Only (A) is true.  The detailed solution is as follows below:

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

A: See the detailed solution below.

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

A:

Q: The value of    -19 mod 8   a 5   b -3   c 3   d 0

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: 2. Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: Given that: ln 8.0 = 2.0794 ln 9.0 = 2.1972 ln 9.5 = 2.2513

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: 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: 20. 79x = 83 (mod 61)

A: Solution :-

Q: 999 3. Calculate (4) mod 3.

A: This simple result follows by noting that 4 is 1 mod 3. The rest of the details are given in the…

Q: Ti If a = b (mod n) and b =c (mod n) then which of the following is true. (a) a = c (mod n) (b) a2 =…

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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: 5. Find an integer x between 0 and 776 such that x 13 (mod 21) x = 5 (mod 37)

A: Set N = 21 × 37 = 777. Then , m1  = N/21 = 777/21 = 37 and m2 = N/37 = 777/37 = 21 Now we need to…

Q: In this exercise set, all variables are integers. 1. List the distinct congruence classes modulo 5,…

A: We can solve this using linear congruence method

Q: (32³ mod 13)² mod 11

A:

Q: C 1 a b (b²+ c²) mod 2 = ?, a, b, c EN - {0}

A: