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

Q: If m is an integer, and if (m mod 11) = 6, then what is (5m mod 11)? 2 4 11

A:

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

A:

Q: Why do Christmas and New Year's Day always fall on the same day of the week? O 25 ( mod 7) = 31 (…

A: To explain why Christmas and new year's day always fall on the same day of the week.

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: 31 = 10 mod 3. :Select one True False

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: 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: 7. Calculate each of the following. [from #22, 4.5] b) 971321 (mod 765) a) 2557341 (mod 5681)

A:

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

A:

Q: Consider 64z 16 mod 196. The number of solutions mod 196 is Oa None Ob 3 Oe 1

A: We find the number of solutions incongruent mod 196

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

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

Q: 16.5. Compute 2 (mod 9991) by successive squaring and use your answer to say whether you believe…

A:

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

A:

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

A:

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

A: 9446(mod 47)

Q: Choose all statements that are correct. O 24 = 2° (mod 6) O 32 = 16 (mod 8) O 15 # 51 (mod 6) O 71 =…

A:

Q: The order of the integer 4 modulo 19 is: O 4 O None of the choices O 6

A: To find The order of the integer 4 modulo 19.

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: What is the value of o(5400 mod 13)

A: From Fermat's Theorem we know that if p is a prime number and p/a, a∈Z  then ap-1≡1(mod p) Since,…

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: 9 The residue of 6 (mod 5) is (Round to the nearest whole number.)

A:

Q: 4 O 1408 none of the above

A:

Q: Which is correct? 72+ 5 = 32 (mod 9) 24 – 27 = 5 (mod 4) 19 x 27 = 7– 3 (mod 6) 74 = 164 (mod 10)

A:

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

A:

Q: The elements of order 4 modulo 29 are O 6 and 12 O 7, 14 and 21 O 12 and 17 None of the choices

A: To find elements of order 4 modulo 29, we shall check each of these given options one by one. We…

Q: II. Determine whether each of these integers are congruent to 7 mod 9 4. 80 5. 106 6. -29

A: we know that x=y mod(n)  where Y is remainder

Q: The last two digits of 52044 is 44. If ab = 0 (mod 3), then a = 0 (mod 3) or b = 0 (mod 3). F 10. F…

A:

Q: 25. The value of x in (7x is congruent to 12 mod 17) is O 16 15 9 13 (mod 17)

A:

Q: For all integers a and b, if a = 7 ( mod 8)and b = 3 ( mod 8), then (a + b) = 2( mod 8).

A:

Q: 11. If an+1 = 2an + 3 and ao = 1, then az = %3D 509 O 513 O 487 O 496

A:

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: 15 16 17 18 The number of integers between 15 and 100 that end with 4 or 6 is QUESTION 5 2 3 The…

A:

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: Which of the following are not equivalent in modulo 7? O 37 O 16 O -5 O 24

A:

Q: (d) For all integers a and b, if ab = 7 (mod 12), then either a = 1 (mod 12) or a = 7 (mod 12).

A: (d) For all integers a and b, if ab=7 mod 12, then either a =1 mod 12 or a =7 mod 12

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: Choose all statements that are correct. O 24 = 23 (mod 6) O 15 # 51 (mod 6) 32 = 16 (mod 8) O 71 =…

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: what is the value of in 1

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: 17° = 7° (mod 4) True O False

A: THIS IS " TRUE"

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: 20. If a e Z and a = 1 (mod 5), then a? = 1 (mod 5).

A:

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

A:

Q: 12.ifa b(mod n) and b a c(mod n) then ab m be(mod n)

A: We can proove in the following way:-

Q: 19. Which of the following pairs of integers is NOT congruent to modulo 9? 1 and 10 4 and -32 -2 and…

A: Given  19) Congruent to modulo 9 20) 24 is congruent to 58 mod n 21) 1220(mod 25)

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

A:

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.