The Answer to number 2:
793: Why? They are all odd numbers! (Only possible to guess given the multiple choice nature of the question) The pattern means diddle squat.
##None of the below matters, these were early attempts, which turned out to be wrong##
None of the below matters, these were early attempts, which turned out to be wrong
In addition to @Daniel (Sorry, no rights to comment)
19 43 83 233 59 61 283 | 9 and 83
11 35 75 225 51 53 275 |1 and 75
05 29 69 219 45 47 269 | 5 and 69
then there is
19 43 83 233 59 61 283 | 59-19=40, 283-233=50
11 35 75 225 51 53 275 | 51-11=40, 275-225=50
05 29 69 219 45 47 269 | 45-05=40, 269-219=50
There are a few other simple additions with nice round numbers
d5-d1 = 40, d3-d2 = 40, d4-d2 = 140 (100+40)
d7-d4 = 50, d4-d3 = 150 (100+50)
d7-d3 = 200
Another pattern exists in the second digit... but this might be seeing patterns where there aren't any. It might also be giving even more credibility to the modulo + offset theory. (base+offset)%10 works for the patterns below.
9, 3, 1 -> 9, 1, 3 -> 9+2=11+2=13(drop the 10's)
1, 3, 5 -> 1+2=3+2=5
5, 9, 7 -> 5, 7, 9 -> 5+2=7+2=9
So:
If d1 + 40 = d5, and d4 + 50 = d7, then I will guess d6+60 = d8
logic: 5-1 = 4, 7-4 = 3, so 8-X = 2. X must be 6
61+60=121
53+60=113
47+60=107
