When 32 is divided by an integer, the remainder is 4. When 51 is divided by the same integer, the remainder is 2. What is the largest integer for which this is true?

Q: Suppose a certain number when divided by 13 yields a remainder of 7. If we add 22 to our original…

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Q: If 9 divides the units (the ones) digit of a number, then 9 divides the number.   true or false

A: This is a problem related to divisibility of the numbers. Please follow the procedure given below.

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

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Q: how many positive integers less than 150 with a remainder of 3 if divided by 7?

A: To find number of positive integers less than 150 with a a remainder of 3 if divided by 7

Q: The ten's digit in a two-digit number is 2 greater than the one's digit. If we interchange the…

A: Topic- Linear equations We are given The ten's digit ina two digit number is 32 greater than the…

Q: list the first five multiples of 13 after 13 itself.

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Q: Worker A Can Complete a task in 8 hours while WORKER B Can Complete the Same task in 9 hours. How…

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Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the reminder 1,5 when…

A: To find- Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder…

Q: The formula N= 3x² + 5x + 1 represents the number of households N, in thousands (i.e. if the number…

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Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6. If each number is used only…

A: Given: Numbers used = 2, 3, ,4, 5, 6 Numbers greater than 530 is required to be found. No digit is…

Q: Find all integers that leave a reminder of 3 when divided by 5,5 when divided by 7 and 7 when…

A: The given problem is to find all the integers that satisfies the given conditions. We have to…

Q: A "S number" is a positive even number that is not the product of two even numbers. A "B number" is…

A: Given: S number= positive even number that is not the product of two even numbers,  B number=an…

Q: The number 3 1/2 falls between what two integers on the number line?

A: The number is given by 312 To evaluate : The two integers between which 312 falls.

Q: Luna told her friends that she was thinking of a number with the same digit in the ones and the…

A: To determine a number with the same digit in the ones and the thousands place (odd or even).

Q: A girl writes a different natural number on each of the cubes in the image. The sum of numbers on…

A: For maximizing a particular number in an equation, try minimizing other numbers. By doing this…

Q: Find the smallest integer greater than 100 that is divisible by 5, but leaves the remainders 1, 5…

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Q: When an integer n is divided by 6, the remainder is 5. What are the possible values of the remainder…

A: From the statement, we can say that

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Three different number is chosen randomly that is 751, 1229 and 1946. Is it possible for the three…

A: Given, Three different numbers 751,1229 and 1946. Divided by same integer d. Remainder (r) is same…

Q: how many 6 digit numbers can be formed, if at the place of hundred thousand there are allowed two…

A: Yes your step is right.Hundredth thousand place can be chosen in 2 ways. And hundredth place can be…

Q: To determine whether a number is divisible by 16 we can see if the number is divisible by 2 and 8.…

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Q: Just out of curiosity, how many positive integer factors does 15! have?

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Q: If then A = 88 -6 0 4 = [89]

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Q: If the largest of 89 consecutive integers is 327, what is the smallest?

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Q: PLEASE DO THIS ASAP IM BEGGING YOU, SHOW ALL THE WORK PLEASE How many integers must you pick to be…

A: By using Pigeonhole Principle we solve the given problem as follows :

Q: How many nine-digit numbers with twice as many odd digits as even digits? (leading zeros are…

A: The number of digits are 9. The number of odd digits are twice the number of even digit.

Q: To determine whether a number is divisible by 18, we can see if the number is divisible by 6 and 3.…

A: The statement is false.   For a number to be divisible by 18 should be divisible by 9 and 2.   The…