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

Q: How many integers between 100 and 400 contain the digot 2?

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Q: The set of all odd numbers between 100 and 110 that are a multiple of 3

A: We need to find the set of all odd numbers between 100 and 110 that are a multiple of 3.List of all…

Q: plz solve q4

A:

Q: are there any even numbers greater than 2 which are prime? why or why not?

A: We will find the solution in the following step

Q: How many positive integers less than 10000 are there which contain at least one 7 or at least one 9…

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Q: If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2, then what is the least…

A: This is a question of number theory therefore from the subtopic of counting.

Q: How many six-digit positive integers contain exactly one one, two twos and three treor? How many…

A: First note that here six digit integer can start only with 1 or 2. If it starts with 1 the remaining…

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

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Q: How many positive integers less than 850 are multiples of 8, 3, or 5? Use the Principle of…

A: Using the Principle of inclusion/Exclusion, the formula for A∪B∪C can be written as:…

Q: The diagram below shows ten circles joined by five lines with three circles Place all the…

A: Requirements: Numbers should range from 1 to 10.   Every line has three circles.   3. The amount for…

Q: Find the smallest positive integer that leaves a remainder of 1 when divided by 2, a remainder of 2…

A: Let N be such a number N=10a+9:  N+1 = 10a+10 N=9b+8: N+1 = 9b+9 N=8c+7: N+1 = 8c+8 N=7d+6 and so on…

Q: A sequence of  120 natural numbers is given such that number n is written n times…

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Q: ive distinct integers are to be chosen from the set {1,2,3,4,5,6,7,8} and placed in some order in…

A: Given: To find the number of possible ways in which integers can be chosen,

Q: Use the ertended pigeonhole principle to show that there is at least 15 ways to choose 4 integers…

A: Extended Pigeonhole Principle:      If there are n pigeons and m pigeonholes and n>m. Then, there…

Q: Every natural number greater than 1 can be written as the products of prime numbers.

A: Prove that  every natural number greater than 1 can be expressed as product of primes or the number…

Q: List the set of integers that satisfy the given conditions; a positive multiple of 5 and not a…

A: The given condition is that element of the set should be positive multiple of 5 and not a multiple…

Q: How many 5-digit even numbers can be formed using the digits 2, 4, 6, 7, 9 if no repetition is…

A: Given:

Q: a) Find the number of positive integers not exceeding 120 that are divisible by 3 or 4.

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Q: The sum of all positive integers less than 300 which are divisible by 3.

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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: Set C is the set of positive two-digit even numbers less than 56 that are divisible by 5.

A:

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3,..., 101} have a sum that is…

A: Since you have posted multiple questions and we can answer one question. So answer provided for the…

Q: Find: The sum of all positive integers less than 400 which are not divisible by 5.

A:

Q: How many positive integers less than 10000 are there which contain at least one 2 or at least one 3…

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

A:

Q: determine the number of computer can randomly generate one such integers from 1 through or more 12.…

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Q: Which list of numbers is ordered from greatest to least? O 3. 49 x 10', 2.73 x 10°, 4. 27 x 10', 1.…

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Q: A sequence of 120 natural numbers is given such that number n is written n times {1, 2, 2, 3, 3, 3,…

A: Here, a sequence of 120 natural numbers is given such that number n is written n times,i.e,{1, 2, 2,…

Q: Show that, selecting 91 positive integers guarantees that there are at least 10 integers with the…

A:

Q: The sum of all positive integers less than 300 which are not divisible by 3.

A: Sum of n positive integer is given by, Sn=nn+12

Q: Write the set of natural numbers greater than 16 using the most concise method.

A: We need to write the set of natural numbers greater than 16 using most concise method. We know that…

Q: Every odd prime number is greater than 2.

A: Given: "Every odd prime number is greater than 2." To find: Statement in the form "If p, then q"…

Q: Specify the sets by roster. (a) {Even counting numbers less than 18}       (b) {Positive…

A: Listing the elements of a set in the braces {} is called the roster form.

Q: show that every integer greater than 11 is the sum of two composite integers

A: We need to prove that  every integer greater than 11 is the sum of two composite integers.

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3, 101} have a sum that is even?

A:

Q: Prove that a four-digit number is a multiple of 8 whenever the number formed by the first three…

A: The solution is given by using the expanded form of number as follows

Q: Five distinct integers are to be chosen from the set {1, 2, 3, 4, 5, 6, 7, 8} and placed in some…

A: Given Information -  Five distinct integers are to be chosen from the set {1, 2, 3, 4, 5, 6, 7, 8}…

Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

A:

Q: The sum of all positive integers less than 400 which are divisible by 5.

A: Positive integers less than 400 which are divisible by 5 are⇒n=79 5,10,15,20,...,395 The above…

Q: How many three digit passcode can be made from the digits 0-9in the first number is not allowed to…

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Q: Use the roster method to write the set of natural numbers less. Than 12

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Q: Find the least natural number a with the property that the sum a + 2a + 3a + .. + 9a is the number…

A: Given sum is  a+2a+3a+4a+5a+6a+7a+8a+9a

Q: Determine all natural numbers divisible by 8 whose sum of digits is less than 10 and the product of…

A: Permutation and combination concepts will be used to filter out all the 3 scenarios in getting…

Q: Find the sum and product of each of these pairs of numbers (20CBA)16 , (A01)16. Express your answers…

A:

Q: Show that if any 14 numbers are selected from the set S = {1,2,3,...,25}, [14] there are at least…

A: Note that the numbers in each of the first twelve sets sum to 26, and that there is no pair of…

Q: Find odd and general

A: Given,       f(x)=x-π3;   0≤x≤π

Q: How many integers from 1 to 99,999 contain exactly two consecutive 1s?

A:

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: How many twin primes are there where both primes are less than or equal to 31? Number of twin…

A: Twin prime: If there is only one composite number between two prime numbers, then that two numbers…