Answer: Option B. -> 65
The given series is a triangular pattern series.So, we have
Series I :  2     9     28     ?                126   217    344
Series II :  7     19     ?                ?   91    127
Series III :       12     ?     ?                ?   36
Clearly, to form a pattern, the missing terms in Series III must be 18, 24, 30So, missing term = 127 + (61 + 24 + 6)= 127 + 91= 218

Answer: Option C. -> 29
The pattern is +2,+4,+2,+4,
So, missing term = 25 + 4 = 29

Answer: Option A. -> 14
The pattern is +3, +4, +5, +6,........So, missing term=9+5=14

Answer: Option D. -> 3508
The pattern is x3+4, x4+4, x5+4,...............So, missing term=584x6+4=3508

Answer: Option C. -> 203
The pattern is x2+1,x2-1,x2+1,x2-1.x...................So, missing term =101x2+1=203

Answer: Option A. -> 33
The pattern is +6, +9, +12, +15...............So, missing term=21+12=33

Answer: Option A. -> 18
The given sequence is a combination of two series:I. 0, 3, 8, 15, 24, 35 and II. 2, 5, 10, 18, 26The pattern in both I and II is + 3, + 5, + 7, + 9, .........So, in II. 18 is wrong and must be replaced by (10 + 7) i.e., 17.

Answer: Option D. -> 5000
Each term of the series is the product of the preceding two terms.So, 5000 is wrong and must be replaced by (50 × 500) = i.e., 25000

Answer: Option C. -> 10
The correct sequence is 3, 32 , 33,4, 42 , 43,5, 52 , 53So. 10 is wrong and must replaced by 32 i.e., 9

Answer: Option A. -> 27
We have :I: 5       27       61       122       213       340     509II:  22       34       61         91       127     169III:        12        27        30        36       42IV:  
         15        3         6    
;       6           
Clearly, the given series becomes a triangular pattern series if each term in IV: is 6.
Again, in II: 34 must be replaced by (61 - 24) i.e., 37 and 22 by (37 - 18) i.e., 19.
Thus, in the given series, 27 is wrong and must be replaced by (5 + 19) i.e., 24.