Verbal Reasoning - Mental Ability Questions

The given number sequence is 101, 98, 93, 86, 75, ?

101

101 - 3 = 98

98 - 5 = 93

93 - 7 = 86

86 - 11 = 75

75 - 13 = 62

Here the series follows a pattern that consecutive subtraction of prime numbers.

Hence, the next number in the sequence is 62.

The given number series is 1, 3, 10, 41, 206, ?

It follows a pattern that,

1

1 x 2 + 1 = 3

3 x 3 + 1 = 10

10 x 4 + 1 = 41

41 x 5 + 1 = 206

206 x 6 + 1 = 1237

Hence, the next number in the given number series is 1237.

7  4  2

7  4  6

7  4  1

7  4  6

Only at these placees 4 is preceded by 7 but not followed by 3

9th letter from the right means (26 - 9 + 1 =) 18th letter from the left. Now, the middle letter between 18th letter from the left  and 8th letter from the left = [(18+8)/2] = 13th leter from the left = M.

Given series follows Cubes on Prime Numbers 

i.e 23, 33, 53,...but  93is 1331

so 1381 is wrong