Ayush Agarwal Maths

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How to find Prime Numbers from 1 to 100 Easy Method......  Sieve of Eratosthenes. Round 1 : Cross out 1 because it is not a prime number. Round 2 : Encircle 2, cross out all the multiples of 2, other than 2 itself, i.e. 4, 6, 8 and so on. Round 3 : You will find that the next uncrossed number is 3. Encircle 3 and cross out all the multiples of 3, other than 3 itself. Round 4 : The next uncrossed number is 5. Encircle 5 and cross out all the multiples of 5 other than 5 itself. Round 5 : Continue this process till all the numbers in the list are either encircled or crossed out. All the encircled numbers are prime numbers. All the crossed out numbers, other than 1 are composite numbers. This method is called the Sieve of Eratosthenes.

A notes  1. A factor of a number is an exact divisor of that number. 2. 1 is a factor of every number. 3. Every number is a factor of itself. 4. Every factor is less than or equal to the given number. 5. Number of factors of a given number are finite. 6. Every multiple of a number is greater than or equal to that number. 7. The number of multiples of a given number is infinite. 8. Every number is a multiple of itself. 9.The number 1 has only one factor (i.e. itself ). 10. 1 is neither a prime nor a composite number. 11. 2 is the smallest prime number which is even. 12. Every prime number except 2 is odd. 13. If a number has 0 in the ones place then it is divisible by 10. 14. A number which has either 0 or 5 in its ones place is divisible by 5.  15. A number is divisible by 2 if it has any of the digits 0, 2, 4, 6 or 8 in its ones place. 16. If the sum of the digits is a multiple of 3, then the number is divisible by 3. 17. 

     Important Terms in Mathematics  Perfect Number -  A number for which sum of all its factors is equal to twice the number is called a perfect number.  Prime Numbers -  The numbers other than 1 whose only factors are 1 and the number itself are called Prime numbers. Composite Numbers -  Numbers having more than two factors are called Composite numbers.

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B.Ed. 2nd year previous papers 2022 Bundelkhand University                          B.Ed. - 2491                    B.Ed. (Second Year)                  Examination - 2022  Historical Perspectives Of Indian Education                     Time : Three Hours                     Maximum Marks : 80  Note : Attempt questions from both Sections as directed.                             Section - A             Short Answer Type Questions    Note : Attempt any seven questions. Each question carries 5 marks.                     7×5 = 35  ...

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  Roman Numerals from 1 to 100  1    =    I 11    =    XI 21    =    XXI  2    =    II  12    =    XII  22    =    XXII 3    =    III  13    =    XIII  23    =    XXIII  4    =    IV  14    =    XIV  24    =    XXIV  5    =    V  15    =    XV  25    =    XXV  6    =    VI  16    =    XVI  26    =    XXVI  7    =    VII  17    =    XVII  27    =    XXVII  8    =    VIII  18    =    XVIII  28    =    XXVIII 9...

 Tables Table of 1 Table of 2 Table of 3 Table of 4  1 x 1 = 1  2 x 1 = 2  3 x 1 = 3 4 x 1 = 4 1 x 2 = 2 2 x 2 = 4 3 x 2 = 6 4 x 2 = 8 1 x 3 = 3 2 x 3 = 6 3 x 3 = 9 4 x 3 = 12 1 x 4 = 4 2 x 4 = 8 3 x 4 = 12 4 x 4 = 16 1 x 5 = 5 2 x 5 = 10 3 x 5 = 15 4 x 5 = 20 1 x 6 = 6 2 x 6 = 12 3 x 6 = 18 4 x 6 = 24 1 x 7 = 7 2 x 7 = 14 3 x 7 = 21 4 x 7 = 28 1 x 8 = 8 2 x 8 = 16 3 x 8 = 24 4 x 8 = 32 1 x 9 = 9 2 x 9 = 18 3 x 9 = 27 4 x 9 = 36 1 x 10 = 10 2 x 10 = 20 3 x 10 = 30 4 x 10 = 40 Table of 5 Table of 6 Table of 7 Table of 8  5 x 1 = 5  6 x 1 = 6  7 x 1 = 7  8 x 1 = 8  5 x 2 = 10 6 x 2 = 12  7 x 2 = 14  8 x 2 = 16  5 x 3 = 15 6 x 3 = 18 7 x 3 = 21  8 x 3 = 24  5 x 4 = 20 6 x 4 = 24  7 x 4 = 28  8 x 4 = 32  5 x 5 = 25 6 x 5 = 30 7 x 5 = 35  8 x 5 = 40  5 x 6 = 30 6 x 6 = 36  7 x 6 = 42  8 x 6 = 48 5 x 7 = 35 6 x 7 = 42  7 x 7 = 49  8 x 7 = 56  5 x 8 = 40 6 x 8 = 4...