list five different natural numbers that are congruent to 10 modulo 4

Q: Any two integers are congruent modulo .. when they are both even or both odd. greatest common…

A: Greatest common divisor

Q: How many positive integers between 500 and 999 inclusive are not divisible by 5?

A: For this problem, we must recall that to calculate the number of integers in a range of values that…

Q: from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 form a set containing the first four fibonacci numbers (x) that…

A: given the set

Q: Determine the number of natural numbers less than 700 that can be written using the digtits 5,6,7,9?

A:

Q: Four boxes labelled with numbers are used to keep items that are also labelled with numbers. Each…

A: The given item numbers are 28,13,23,7. Since, we have four boxes, Hence, the modulo divisor will be…

Q: Any two integers are congruent modulo .when they are both even or both odd. Least common multiple…

A: Answer : smallest prime n=2

Q: Name all integers from -100 to 100 that are congruent to -1 modulo 25!

A:

Q: Books are identified by an International Standard Book Number (ISBN), a 10-digit code x1x2... x10,…

A: Let us start finding q and m values

Q: How many four digit positive integers are there that contain the digit 3 and are divisible by 5?

A: A number is divisible by 5, if the unit digit place contains the number 0 or 5. Let m choices to be…

Q: Any two integers are congruent modulo .. when they are both even or both odd. Least common multiple…

A: Given a statement

Q: from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 form a set containing first five prime numbers (x) greater than 50…

A:

Q: Statement 1 : 2465 is not a carmichael number Statement 2: 95 = 55 (mod 2) Statement 1 : True…

A:

Q: Give three elements of the equivalence class of 15 modulo 7

A:

Q: modulo 5   B).  Evaluate 31mod5

A:

Q: How many integers have inverses modulo 144? Justify.

A: Justify how many integers have inverse modulo 144.

Q: Create your own symbols for the digits 0, 1, 2, 3, 4, 5, 6, 7,8 and 9. Explain the relevance of each…

A:

Q: Find all three-digit numbers with different digits with the property that those numbers are…

A: Let N=100a+10b+c represent all the three-digit numbers, for some digits, a, b and c. Then,…

Q: Find 1112 mod 13.

A:

Q: The prime number 8191 is a None Mersenne prime number Carmichael number Inverse of 7 modulo 11

A: Given that The prime number 8191 is

Q: Is it true that 90 ≡ 64 (mod 13)?

A: As given equation 90≅64(mod 13) is False.

Q: 1. Please use congruence (c is congruent to (p+3)mod26) to encrypt "May God bless you more!"

A:

Q: Determine the number of primitive roots modulo 23.

A: Solution

Q: Show that √17 is Irrational number

A:

Q: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

A: The given set of numbers is, 1,2,3,.....,99,100 The total no.of numbers from 1 to 100 is, 100 The…

Q: List six intergers that are congruent to 7 modulo 9.

A:

Q: Is 7|(15+20): True or False? 28 is congruent to 42 modulo 6: True or False?

A: I am solving these in step 2

Q: determine what number the sum is congruent to in mod 3, 6+4 = __ (mod 3)

A: First we add the numbers, then check for the remainder on dividing the result by 3 and that will be…

Q: Is 17 congruent to 4 modulo 6.

A: 17, when divided by 6, leaves remainder 5

Q: Which pairs of the integers -11, -8, -7, -1, 0, 3, and 17 are congruent modulo 7?

A: -11≡3 (mod 7) holds  Since -11-3 = -14 is divisible by 7 and leaves remainder 0. -7≡ 0 (mod 7)…

Q: D. List five different natural numbers that are congruent to 8 modulo 6. E. List five different…

A:

Q: Any two integers are congruent modulo . when they are both even or both odd. greatest common divisor…

A: Any two integers are congruent modulo... when they are both even or both odd.

Q: Find the order of 4 modulo 49.

A: Evaluate order of 4 modulo 49.

Q: 11. Define conguren ce class es for modulo 4.

A:

Q: Enumerate 5 objects in our modern time that make use of golden rectangle.

A: Golden Rectangle is a rectangle whose side lengths are in the golden ratio, that is approximately…

Q: Any two integers are congruent modulo to: even integer odd integer Prime integer not a prime nor…

A: suppose n is a positive integer. Then two integers are said to be congruent modulo n if (a-b) is…

Q: Use Fermat's theorem to Reduce 50250 (mod 83) to a number in the range {0,1

A: Here we will find out the required value.

Q: Create your own symbols for the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Explain the relevance of…

A: The question asks to create new symbols for the digits 0 to 9. The digits themselves are symbols, so…

Q: If 8 decimal digits only are allowed, then the chopped representation of the number 0.123456789 is…

A: Rule is that,  if the 9th digit is greater tha 5 the the 8th digit will be add by 1

Q: Prove that every third Fibonacci number in 0, 1, 1, 2, 3, ... is even.

A:

Q: ) How many,8-distinct/digit numbers can be formed if the numbers áre amultiple of/5 and contain the…

A:

Q: Determine whether 17 is congruent to 5 modulo 6?

A: We have to check whether 17 is congruent to 5 modulo 6

Q: Two integers are congruent modulo to a)prime integer b)odd integer C) not a prime nor composite…

A:

Q: ntegers not exceeding

A: Principal of Inclusion-Exclusion:                 A∪B∪C=A+B+C-A∩B-A∩C-B∩C+A∩B∩C Here A, B, C denote…

Q: How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit?

A: A number is divisible by 5, if it has a 0 or 5 in the unit digit place. Let m choices to be made…

Q: What least number must be added to each of the number 6,15,20 and 43, so that the resulting numbers…

A:

Q: How many positive integers between 100 and 999 inclusive are divisible by 7?

A: The formula for term number n in an arithmetic series is . Here, a is the first term, n is the…

Q: A computer access password consists of from three to ten letters chosen from the 28 in the Arabic…

A: The part b of the can we solved by using the permutation.

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

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

Q: Any two integers are congruent modulo when they are both evenor both odd. Smallest prime greatest…

A: Any two integers are congruent modulo .. when they are both even or both odd.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.