1. What are the possible remainders of prime numbers greater than 2 when it is divided by 7? а. 1, 2,3 с. 1,3,4,5

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: The number of factors of prime numbers are Depends on the prime number None of the mentioned (3 2

A: Given query to find number of factors of a prime number.

Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7 and 8 if non…

A:

Q: In how many ways can 10 distinct books be divided among three students if the first student gets…

A: Solution: From the given information, there are 10 distinct books divided among 3 students. First…

Q: If a, b are two distinct prime number than a highest common factor of a, b is: (2 ab

A: HCF of two numbers is found out by taking common prime factors from both the numbers the…

Q: The number of factors of prime numberss are (None of the mentioned Depends on the prime number (2 (3

A: Prime number is only divisible by 1 and that number itself

Q: How many natural numbers that are less or equal to 1000 and that are not multiples of 3, 5, or 7…

A: A number is said to be divisible by other number if on dividing the number  with it given remainder…

Q: I am a fraction less than 1.My numerator is divisble by 3 and my denominator is a prime number. The…

A: We have to find a fraction that is less than 1. Whose numerator is divisible by 3 and denominator is…

Q: Prove that the sum of any three consecutive numbers is divisible by 3

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Q: does there exists   ______such that if n is divided by 5 the remainder is 2 and  if   ?

A: We have to check whether there exist n such that if n is divided by 5 then remainder is 2. Let if n…

Q: 2) The product of an even number and any other number is even.

A:

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6, and 9.

A: Given:  Using the digit 2,3,4,5,6 and 9  We need to find how many four digit odd  number be formed…

Q: If the first even integer is 4, then what will be next three consecutive even integers ? O 5, 14, 10…

A: In the question it is asked to represent next three consecutive even integers after even integer 4.

Q: 2. In how many ways can three numbers be selected from the numbers 1, 2, ... , 300 such that their…

A: This problem is solved using the concept of permutation and combination. please find step by step…

Q: Show that if 5 divides n2 with remainder 4, 5 divides 3n3 with remainder 2.

A: Given that 5 divides n2 5 n25 n×n5 n5 n3 As it gives the remainder 4 on dividing by 5. Therefore it…

Q: How many integers between 1 and 1000 are divisible by 3, 5, 11, or 13?

A: We have to find the total  integers between 1 and 1000 are divisible by 3, 5, 11, or 13. First find…

Q: 4) Find the number of positive integers not exceeding 1,000 that are not divisible by 3, 5, or 11.

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Q: 2) How many integers between 1 and 200, including both 1 and 200 are divisible by 4 or 5? 3) How…

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Q: How many positive integers less than 1000 are divisible by 5? How many positive integers less than…

A: We will answer the first three questions as per our guideline. Please resubmit the other question…

Q: How many positive integers between 100 and 999 inclusive   d) are not divisible by either 3 or 4?…

A: The set: A∪B contains all the elements that are present in set A or B. The set A-B contains all the…

Q: 6.) Find the sum of the first 50 positive integers ending in 6.

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Q: How many integers between 100 and 999 inclusive are multiples of 13?

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Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

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Q: How many munbers from 1 till 10000 are NOT divisible by 3, 8, 16 and 7?

A: Here, we have to find the total numbers from 1 to 10000 are not divisible by 3, 8, 16, and 7.  Let A…

Q: of all rabbits in a country are in one state and - of the rabbits are in a different state, what…

A: We have that 5/32 of all rabbits in a country are in one state and 2/7 of the rabbits are in a…

Q: 4. How many 4-digit numbers that are divisible by 10 can be formed from the numbers 3. 5. 7. 8, 9. 0…

A: Discaimer : 12:31Since you have asked multiple question, we will solve the first question for you.…

Q: 3. Find a number with remainders of 3, 11, and 15, when divided by 10, 13, and 17, respectively.

A: Find a number with remainder of 3,11,15 when divided by 10,13,and 17 respectively.     Here i…

Q: From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question We have given…

Q: d 3?

A: for a 4 digit even number

Q: 21 and 24 are not relatively prime numbers

A: To find: Whether 21 and 24 are relatively prime numbers or not?

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: Q7. How many positive integers not exceeding 100 are divisible either by 6 or by 10?

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 1 If 13/7 of all rabbits in a country are in one state and of the rabbits are in a different state,…

A: 237 of all rabbits in a country are in one state and 16 of the rabbits are in a different state.

Q: a.For the 2019 Comrades marathon, 17268 men and 4357 women entered, 15835 men and 3982 women started…

A: As per bartleby guidelines for more than one question, only 1st one is to be answered. Please upload…

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: how many six-digit numbers can be formed so that 2 are in the place of thousandth and 5 in the place…

A: First number can not be 0. So we can pick the first number in 9 ways. (1 to 9)

Q: A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Since you've asked multiple parts questions, as per our answering guidelines we are supposed to…

Q: 4. Is 9,521 less than, greater than, or equal to 9,.251? 5. How w many eighths are in 1-? 6. 2+3 x2…

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Q: How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Prove: If the sum or the difference of two irreducible fractions is an integer, the denominators of…

A: Proof: Let two irreducible fractions are ab and cd Since the fractions are irreducible, (a,b)=1 and…

Q: a When 73.330 and 68.12 are divided, the answer should be based on Enter the answer with the correct…

A: a. 73.330÷68.12 We convert the divisor 68.12 to a whole number by moving the decimal point 2 places…

Q: How many 3-digit numbers can be formed from the digits 2,3,5,6, and 9, which are divisible by 5, if…

A:

Q: 3. There are seven students who always compare their CS test grades. They discovered that either the…

A: It is given that there are seven students who always compare their CS test grades. They discovered…

Q: is ​{x | x is a fraction between 71 and 72​} finite or infinite

A: We will solve the problem. There are infinite real numbers between any two natural numbers. These…

Q: Place the remaining digits from 1-9 in the boxes at the right so that the value of the resulting…

A: Given       4    2    7    6 =14

Q: How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6. 6, and…

A: Now here given  digits 2,3,4,5,6,9

Q: If a is the least common multiple of 12, 24, and 36, and b is the lowest prime number, what is the…

A: we know that lowest prime number is 2 so, b=2 and a=L.C.M.12,24,36 so, finding L.C.M.…

Q: 1.What is the smallest number that can be exactly divided by 2, 3, 4, 5  and 8 ? 2.What are the…

A: To answer the given questions.