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  1. State the defects of Vedic Period Education. 2. How were the Teacher-Pupil relationship in ancient period? 3. What were the five main recommendations of Macaulay's Minute? 4. What are the effects of recommendations of the wood's Despatch on Indian Education? 5. Describe the effect of recommendations of the Radhakrishnan Commission on University Education. 6. What were the reasons for setting up the Kothari Commission? 7. Discuss the

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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    =    IX  19    =    XIX  29    =    XXIX 10    =    X  20    =    XX  30    =    XXX  31    =    XXXI  41    =    XLI  51    =    LI  32    =    XXXII 42    =    XLII 52    =    LII 33    =    XXXIII 43    =    XLIII 53    = LIII 34    =    XXXIV 44    =    XLIV 54    =    LIV 35    =    XXXV 45    =    XLV 55    =    LV 36    =     XXXVI 46    =    XLVI 56    =    LVI 37    =    XXXVII 47    =    XLVII 57    =    LVII 38    =    XXXVIII 48    =    XLVIII 58    =    LVIII 39    =    XXXIX 49    =    XLIX  59    =    LIX  40    =    XL 50    =    L 60    =    LX 61    =    LXI 71

 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 = 48  7 x 8 = 56  8 x 8 = 64  5 x 9 = 45 6 x 9 = 54 7 x 9 = 63  8 x 9 = 72  5 x 10 = 50 6 x 10 = 60  7 x 10 = 70 8 x 10 =