Saturday, 27 July 2013

magic square sudoku 9


A partially filled 16x16 grid is given below.

 3




 5




 7




 1

 9


15






13


11



14




12
 10




16





 8


2


  4


 6






 2


 8


 6


 4





12




14
16




 10



15


 9






11


13

 5




 3




1




  7

13


11






 9


15

7




 1




 3




 5



 4


  6


 8


  2





10




16
14




12




16




10
12




14





  6


 4


  2


   8



 1




  7




  5




  3

11


13






15


 9






































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.











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