91).
Logic by @Vijay ...
5 9 25 91 414 2282.5
3 a b c d e
5
9 = (5 * 3 + 3)/2
25 = (9 * 5 + 5)/2
91 = (25 * 7 + 7)/2
414 =(91 * 9 + 9)/2
2282.5 = ( 414 * 11 + 11)/2
Similarly,
3
a = (3 *3 +3 )/2 = 6
b = (6 *5 + 5)/2 = 17.5
c = (17.5 * 7 + 7)/2 = 64.75 (Ans - option 4)
92). 15 9 8 12 36 170
gaps==> 6 1 4 24 134
Now, see how to get these next numbers by using these gaps .
(I only applied many hit and trial methods and no special logic and so it took a lot of time).
15 * 1 - 6 * 1 = 9
9 * 2 - 5 * 2 = 8
8 * 3 - 4 * 3 = 12
12 * 4 - 3 * 4 = 36
36 * 5 - 2 * 5 = 170
Using same method for next series,
19 * 1 - 6 * 1 = 13
13 * 2 - 5 * 2 = 16 ( Answer )
93). 7 6 10 27 104 515
gaps==> 1 4 17 77 411
I tried to use the same logic as above .
7 * 1 - 1 = 6
6 * 2 - 2 = 10
10 * 3 - 3 = 27
27 * 4 - 4 = 104
104 * 5 - 5 = 515
Now, applying this same style for next series,
9 * 1 - 1 = 8
8 * 2 - 2 = 14 ( Answer )