What is the largest value you cannot make with an unlimited supply of 13c and 6c stamps ?

Question

you are given four different jars of 2 litres, 4 litres, 6 litres and 8 litres respectively with an unlimited water supply.
Then you are asked to measure exactly 5 liters of water using them.

How will you do it?

Answer 1

List of all possible 53 combinations if 13 and 6 has at least to be used once:
1. (13 x 1) + (6 x 1)= 19
2. (13 x 1) + (6 x 2)= 25
3. (13 x 1) + (6 x 3)= 31
4. (13 x 1) + (6 x 4)= 37
5. (13 x 1) + (6 x 5)= 43
6. (13 x 1) + (6 x 6)= 49
7. (13 x 1) + (6 x 7)= 55
8. (13 x 1) + (6 x 8)= 61
9. (13 x 1) + (6 x 9)= 67
10. (13 x 1) + (6 x 10)= 73
11. (13 x 1) + (6 x 11)= 79
12. (13 x 1) + (6 x 12)= 85
13. (13 x 1) + (6 x 13)= 91
14. (13 x 1) + (6 x 14)= 97
15. (13 x 2) + (6 x 1)= 32
16. (13 x 2) + (6 x 2)= 38
17. (13 x 2) + (6 x 3)= 44
18. (13 x 2) + (6 x 4)= 50
19. (13 x 2) + (6 x 5)= 56
20. (13 x 2) + (6 x 6)= 62
21. (13 x 2) + (6 x 7)= 68
22. (13 x 2) + (6 x 8)= 74
23. (13 x 2) + (6 x 9)= 80
24. (13 x 2) + (6 x 10)= 86
25. (13 x 2) + (6 x 11)= 92
26. (13 x 2) + (6 x 12)= 98
27. (13 x 3) + (6 x 1)= 45
28. (13 x 3) + (6 x 2)= 51
29. (13 x 3) + (6 x 3)= 57
30. (13 x 3) + (6 x 4)= 63
31. (13 x 3) + (6 x 5)= 69
32. (13 x 3) + (6 x 6)= 75
33. (13 x 3) + (6 x 7)= 81
34. (13 x 3) + (6 x 8)= 87
35. (13 x 3) + (6 x 9)= 93
36. (13 x 3) + (6 x 10)= 99
37. (13 x 4) + (6 x 1)= 58
38. (13 x 4) + (6 x 2)= 64
39. (13 x 4) + (6 x 3)= 70
40. (13 x 4) + (6 x 4)= 76
41. (13 x 4) + (6 x 5)= 82
42. (13 x 4) + (6 x 6)= 88
43. (13 x 4) + (6 x 7)= 94
44. (13 x 4) + (6 x 8)= 100
45. (13 x 5) + (6 x 1)= 71
46. (13 x 5) + (6 x 2)= 77
47. (13 x 5) + (6 x 3)= 83
48. (13 x 5) + (6 x 4)= 89
49. (13 x 5) + (6 x 5)= 95
50. (13 x 6) + (6 x 1)= 84
51. (13 x 6) + (6 x 2)= 90
52. (13 x 6) + (6 x 3)= 96
53. (13 x 7) + (6 x 1)= 97
Max number that is not possible with 13 and 6 is 78.

List of all possible 77 combinations with 13 and 6:
(13 x 0) + (6 x 0)= 0
(13 x 0) + (6 x 1)= 6
(13 x 0) + (6 x 2)= 12
(13 x 0) + (6 x 3)= 18
(13 x 0) + (6 x 4)= 24
(13 x 0) + (6 x 5)= 30
(13 x 0) + (6 x 6)= 36
(13 x 0) + (6 x 7)= 42
(13 x 0) + (6 x 8)= 48
(13 x 0) + (6 x 9)= 54
(13 x 0) + (6 x 10)= 60
(13 x 0) + (6 x 11)= 66
(13 x 0) + (6 x 12)= 72
(13 x 0) + (6 x 13)= 78
(13 x 0) + (6 x 14)= 84
(13 x 0) + (6 x 15)= 90
(13 x 0) + (6 x 16)= 96
(13 x 1) + (6 x 0)= 13
(13 x 1) + (6 x 1)= 19
(13 x 1) + (6 x 2)= 25
(13 x 1) + (6 x 3)= 31
(13 x 1) + (6 x 4)= 37
(13 x 1) + (6 x 5)= 43
(13 x 1) + (6 x 6)= 49
(13 x 1) + (6 x 7)= 55
(13 x 1) + (6 x 8)= 61
(13 x 1) + (6 x 9)= 67
(13 x 1) + (6 x 10)= 73
(13 x 1) + (6 x 11)= 79
(13 x 1) + (6 x 12)= 85
(13 x 1) + (6 x 13)= 91
(13 x 1) + (6 x 14)= 97
(13 x 2) + (6 x 0)= 26
(13 x 2) + (6 x 1)= 32
(13 x 2) + (6 x 2)= 38
(13 x 2) + (6 x 3)= 44
(13 x 2) + (6 x 4)= 50
(13 x 2) + (6 x 5)= 56
(13 x 2) + (6 x 6)= 62
(13 x 2) + (6 x 7)= 68
(13 x 2) + (6 x 8)= 74
(13 x 2) + (6 x 9)= 80
(13 x 2) + (6 x 10)= 86
(13 x 2) + (6 x 11)= 92
(13 x 2) + (6 x 12)= 98
(13 x 3) + (6 x 0)= 39
(13 x 3) + (6 x 1)= 45
(13 x 3) + (6 x 2)= 51
(13 x 3) + (6 x 3)= 57
(13 x 3) + (6 x 4)= 63
(13 x 3) + (6 x 5)= 69
(13 x 3) + (6 x 6)= 75
(13 x 3) + (6 x 7)= 81
(13 x 3) + (6 x 8)= 87
(13 x 3) + (6 x 9)= 93
(13 x 3) + (6 x 10)= 99
(13 x 4) + (6 x 0)= 52
(13 x 4) + (6 x 1)= 58
(13 x 4) + (6 x 2)= 64
(13 x 4) + (6 x 3)= 70
(13 x 4) + (6 x 4)= 76
(13 x 4) + (6 x 5)= 82
(13 x 4) + (6 x 6)= 88
(13 x 4) + (6 x 7)= 94
(13 x 4) + (6 x 8)= 100
(13 x 5) + (6 x 0)= 65
(13 x 5) + (6 x 1)= 71
(13 x 5) + (6 x 2)= 77
(13 x 5) + (6 x 3)= 83
(13 x 5) + (6 x 4)= 89
(13 x 5) + (6 x 5)= 95
(13 x 6) + (6 x 0)= 78
(13 x 6) + (6 x 1)= 84
(13 x 6) + (6 x 2)= 90
(13 x 6) + (6 x 3)= 96
(13 x 7) + (6 x 0)= 91
(13 x 7) + (6 x 1)= 97
Max number that is not possible with 13 and 6 is 59