Monday, 22 July 2013

smallest number 3


Find the smallest number which when divided by 79 and 97 leaves 37 and 73 respectively as remainders.

Friday, 19 July 2013

magic square 4



Forty five of the numbers from 1 to 81 have been placed in the  9x9 grid given below.


12


60

74

45

30
40
53

11

63
68
73

71

29


52

10

15

 2

81

44

31

47

18
23
 1

76

65

61

46


13

  3

 9

80

67

34

54
32
37

  4


79
56
69

55

49

39

  6



             Fill in the remaining numbers in such a way that the sum of nine numbers in every horizontal row, every vertical column, each corner to corner diagonal and every 3x3 box is 369 



Saturday, 29 June 2013

magic square sudoku 8


A partially filled 16x16 grid is given below.


 4




 6




 8




 2

10


16






14


12



13




11
  9




15





 7


1


  3


 5






 1


 7


 5


 3





11




13
15




  9



16


10






12


14

 6




 4




2




  8

14


12






10


16

8




 2




 4




 6



3


  5


 7


  1





9




15
13




11




15




 9
11




13





 5


 3


  1


   7



 2




 8




  6




  4

12


14






16


10

















     



    








GIANT SUDOKU 16x16


Fill in the grid with numbers from 1 to 16 in such a way that every row,every column ,every 4x4 box,each corner to corner diagonal accommodates numbers 1 to 16 without repeating any. Also,each 4x4 box is a magic square of order 4.