If n E N and n < 2000, how many numbers n have the property that the sum of the digits of n and the sum of digits of n + 1 are odd numbers?

Q: 1. How many four digit mumbers can be formed by the une of digits 1,2346 and 7 if one digit is used…

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Q: For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has…

A: Given As sum of two odd number is even and sum of any even number is even so for a three digit…

Q: Solve for n:   35,300 = 9,000(1 + 3.2/400)^4n

A: Solution

Q: If d|a + b, then d|a or d\b. Every integer n can written as n = 2km, with k > 0 and m is odd.…

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Q: How many digits does a number 8^(n). 5^(3n+4)  have, if n belongs to N ?

A: Given data Number: 8n .5 (3n+4) We have to find digits in number.

Q: the value of the digit 4 in 2.4×10^-3 is how many times the value of the digit 4 in 4.1×10^2

A: Given that the value of the digit 4 in 2.4×10-3 The objective is to find the value of digit 4 in…

Q: For how many values of n is the sum 1 + 2 + · • + n not divisible by n if 1 ≤ n < 100?

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Q: Find the smallest positive integer N that satisfies all of the following conditions: • N is a…

A: We have to find the smallest positive. N'that satisfies all of the following conditions: N is a…

Q: How many integers n where 1≤n≤1600 satisfy the condition ⌊n⌋\n.

A: Here, need n such that n/⌊n⌋ where 1≤n≤1600 and n is integer. Now, ⌊n⌋ is said to be floor function…

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

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Q: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

Q: How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly…

A: Here Numbers between 1 and 10,000 have digits 1,3,5 and each appears exactly once only

Q: х — 25 c. For all number x, -= x+5. X - 5 d. For all number x, x' >x. e. For all number x, +36 =…

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Q: If 6-digit positive integer is added to a 6-digit positive integer , the sum could have A) 5 digits…

A: A detailed solution is given below.

Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What…

A: We know that an even integer is always divisible by 2. Let the first even integer in the consecutive…

Q: If n is an even integer then 7- n3 ) is an odd integer. ) is an even integer. is sometimes even and…

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Q: What is the smallest integer n for which 25n&gt;512?

A: The provided expression is as follow:

Q: How many three-digit numbers can be formed under each condition? (a) None of the digits can be 5. X…

A: when there are no condition applied we have 10 choices for each digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Q: Any n consecutive integers will include a number that is divisible by n.

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

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Q: 1. In the number 909,507, how many times greater is the 9 in the thousands place than in the ones…

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Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

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Q: If 48 ÷ x is a positive integer and x is an integer, what are the possible values of x?

A: We have to find interger

Q: Q)1 a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: Q1) a) There are 10 digits 0,1,2,3,4,5,6,7,8,9. The 3 digit passcodes must be formed such that first…

Q: A plant grows 5 inches taller each day. During a period of 3 days, how many different values will…

A: Explanation of the answer is as follows

Q: 5. Given a real number x and a positive integer k, how many multiplications are used to find kx by…

A: Given,A real number x and positive integer kTo find: Total number of multiplications used with the…

Q: 2. The number of ways of arrangingr objects from n objects in order is called the number of . of n…

A: Given: The number of ways of arranging r objects from n objects in order is called thenumber of…

Q: (-1)" In(nº) Σ 20. 4n n=2

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Q: For how many integers between 1000 and 9999 is the sum of the digits exactly 9? How many of them…

A: Note:  As per bartleby instruction when more than one question is given only one has to be answered.…

Q: For n ≥ 2, let an=5n/n2-2 Determine for which n, |an|<1

A: Use the given inequality for an and find the quadratic equation for n and solve

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: Solve the following problems 1. From the ten digits 0,12,3,4,5,6,7,8,9, how many four-digit numbers…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: is an integer greater than 1 Quantity a= the tens digit of N Quantity b= 0 which is greater or…

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Q: For integers n >1, 2 3 1 + 2! n 1 1- 3! 4! (n+ 1)! (n + 1)!

A: solving the problem using induction:

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 &amp; x4≥6.

Q: For n≥2, let an= 5n/n2-2. Determine for which n, |an|<1.

A: Use the inequality on and find the inequality for n

Q: 2 6. The sum of the first n odd natural numbers is equal to n.

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Q: if m is odd and n is odd, demonstrate that m*n=odd

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

A: Given: A box with a square base and no top is to be made from a square piece of cardboard by cutting…

Q: How many times greater is the value of the digit 6 in 536,807 than value of the digit 6 in 392,601?…

A: GivenDigit 6 in 536807Digit 6 in 392601

Q: The sum of the digits in the number 56 is 11. (5+6=11) a) Show that the sum of the digits of the…

A: a) Sum of the digits from 15 to 18 1+5=6 1+6=7 1+7=8 1+8=9 Now 6+7+8+9=30

Q: For each natural number n, if 3 does not divide (n² + 2), then n is not a prime number or n = 3.

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Q: If n is 0 what is 8n

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Q: How many integer solutions are there to 1 +X2+X3+X4+Xs=31 with

A: Given, x1+x2+x3+x4+x5=31 Number of Solutions when xi≥0 and xi&gt;0.

Q: How many numbers have digits which are all ”1”s and ”2”s, and thedigits add up to 8? A few such…

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Q: The product of all the natural numbers from 1 to n is written as n! it is read as "n factorial" true…

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Q: 4. The area of a parallelogram is 198 square units. If the base and the height of the parallelogram…

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