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How many natural numbers n satisfy given conditions when 5 is added to it gives a perfect square and when is subtracted from it also gives a perfect square?

How many natural numbers n satisfy given conditions when 5 is added to it gives a perfect square and when is subtracted from it also gives a perfect square?

Only the two numbers 11 and 20 are capable of having perfect squares when 5 is added or 11 is subtracted from them.

How many natural numbers n are there?

The Natural Numbers There are infinitely many natural numbers. The set of natural numbers, {1,2,3,4,5,…}, is sometimes written N for short. The whole numbers are the natural numbers together with 0. (Note: a few textbooks disagree and say the natural numbers include 0.)

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Which is the square of natural number?

Square numbers are the squares of natural numbers, such as 1, 4, 9, 16, 25, etc., and can be represented by square arrays of dots, as shown in Figure 1. Inspection reveals that the sum of any two adjacent triangular numbers is always a square…

How many natural numbers n are there such that n ends with exactly?

How many natural numbers ‘n’ are there, such that ‘n! ‘ ends with exactly thirty zeroes? – Quora. no of zeroes = no of 5 because no of 2 is always more than 5. So there is no such number which ends with exactly 30 zeroes.

What is the smallest 4 digit multiple of 5?

1000
Answer and Explanation: First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.

Which number is a whole number but not a natural number?

0
Zero (0) is not a natural number but a whole number.

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How many natural numbers n are there such that n !+ 10n !+ 10 is a perfect square?

10=12; 1!+ 10 = 11; 0!= 10=11. None of them is a perfect square.

How many natural numbers n are there such that n ends with exactly 30 zeroes?

How many natural numbers ‘n’ are there, such that ‘n! ‘ ends with exactly 30 zeroes? 100! has {1005+10052}=24 { 100 5 + 100 5 2 } = 24 , So n should be greater than 100.

What Squared 5?

List of Perfect Squares

NUMBER SQUARE SQUARE ROOT
5 25 2.236
6 36 2.449
7 49 2.646
8 64 2.828

Are all whole numbers natural numbers?

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered “whole numbers.” All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

How many natural numbers n are there such that n !+ 10 is a perfect square A 1 B 2 C 4 D infinitely many?

https://www.youtube.com/watch?v=og6ME0Yc6eY

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