What is the smallest sum possible sum of 25 consecutive positive integers which s a perfect square?

Q: plz solve q4

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Q: pair of these integers with a sum equal to 9.

A: Let us take set under consideration {1,2,3,4,5,6,7,8}Possible pairs {{1,8}, {2,7}, {3,6}, {4,5}}…

Q: Two distinct numbers are selected from the set (1,2,3,4,...,36,37) so that the sum of the remaining…

A: Given two distinct numbers are selected from the set 1,2,3,4,…,36,37 and The sum of remaining 35…

Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: When the smallest of three consecutive odd integers is added to four times the largest, it produces…

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Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: Show that 3 + V5 is inational number

A: Let 5^1/3 is a rational numbers. So, we can write it as 5^1/3=p/q ………….(I) according to the…

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

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

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Q: The prime factorization of two numbers are given as 24 x 5 and 23 x 3 x 5 What is Least Common…

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Q: What is the smallest positive integer that has 6, 8, and 10 as factors?

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Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern, what is the greatest number in this…

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Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: What is the number of positive integers not larger than 210 and not divisible by 2, 3 or 7?…

A: Within 210, the number of integers that are divisible by 2= 210/2= 105  Within 210, the number of…

Q: What is the sum of the first 150 positive integers?

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Q: What two nonnegative real numbers with a sum of 23 have thelargest possible product?

A: we have to find the two non negative real number with a sum of 23 which will have largest possible…

Q: What is the sum of all 13-digit numbers?

A: What is the sum of all 13-digit numbers?

Q: What is the sum of the first 200 positive integers?

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Q: is an even integer then n square is .A Negative

A: Suppose n=m is an even integer.Since n=m , then n2=m2

Q: How many numbers consisting of five different digits can be made from the digits (0, 1 , 2, 3, 4, 5,…

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Q: The number of positive integers not exceeding 750 that are divisible by 3. 4. and 7 is: *

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

A: Total number of cubes in the lowest layer of the given structure are 9. Let cubes in a second layer…

Q: 2. What is the smallest sum that can be obtained by adding a positive number and its reciprocal?

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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: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

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Q: If a class of children is separated into groups of 5 children, 2 children will be left over. If the…

A: Let the number of children in the class is N. 1. It is given that when the children are seperated…

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: Two integers, a and b, have a product of 48. What is the least possible sum of a and b? The least…

A: Answer is a+b= -49. Explanation is given below...

Q: What is the sum of the first 100 nonnegative integers?

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

A: Given the requirements

Q: If Least Common Multiple of two number is 10 and then Greatest Common Divisor is 5 then the product…

A: Given least common multiple of two numbers is , LCM=10 Greatest common divisor , GCD=5

Q: The sum of the squares of two odd integers is 1) Perfect 2) Prime 3) Not perfect

A: We will find out the required solution.

Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

A: Number of possible arrangement can be calculated either by combination or permutation methods.…

Q: Prove that the sum of the squares of three consecutive integers cannotbe a square.

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Q: The distance between x and 3 on a number line is no more than 0.5.

A: Given: The distance between x and 3 on a number line is no more than 0.5

Q: Find the sum of all four digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without…

A: Given: 5 numbers 1,3,5,7,9 then to find the sum of all four digit numbers that can be formed by the…

Q: How many four-digit odd numbers are possible if the leftmost digit cannot be​ zero? There are…

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: “If the product of two counting numbers is an even counting number, then both of the counting…

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Q: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits…

A: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits (don’t…

Q: Is it possible for two numbers to have the same least common multiple and greatest common devisor?

A: To check whether for two numbers can have the same LCM and HCF.

Q: The sum of an integer and 4 less than that integer is even.

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Q: How can we justify zero being the smallest even number and not 2? What number or rule can be applied…

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Q: The chairs of an auditorium are to be labeled with a letter and a positive integer not exceeding…

A: Given: The chairs of an auditorium are to be labeled with a letter and a positive integer not…

Q: Prove that the sum of two consecutive positive odd numbers less than ten gives an even number

A: Given, The sum of two consecutive positive odd numbers less than ten gives an even number.  We have…

Q: How many zeroes are at the end of 25! (= 25 factorial)?

A: The given number is 25!.  Now, we need to find the number of zeros at the end of 25!.

Q: What is the sum of the integers between 699 and 800 inclusive, that are multiples of 5?

A: Divisibility rule of 5, If a number is to be divisible by 5 then the last digit of that number…

Q: What is the sum of the first 9,000 positive integers

A: topic - arithmetic sequence answer is 40504500

Q: What 2 nonnegative numbers with a sum of 23 have the largest possible product?

A: Given information: The two non negative numbers with a sum of 23.  Calculation: Consider x and y are…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.