Inserting The Missing Character Questions

In the first row, 72 ÷ (²⁴/₂) = 72 ÷ 12 = 6.
In the second row, 96 ÷ (¹⁶/₂) = 96 ÷ 8 = 12.
Let the missing number in the third row be y.
Then, 108 ÷ (^y/₂) = 18  or  ^y/₂ = ¹⁰⁸/₁₈ = 6  or  y = 12.

 The letters in the first row follow the sequence +5, +7.

The letters in the second row follow the sequence +6, +8.
In the third row, the first letter G moves 7 steps forward to give the second letter N.
Clearly, the missing letter will be 9 steps ahead of N i.e. W.

In the first column, 2 x 1 + 1 = 3.
In the second column, 14 x 7 + 7 = 105.
Let the missing number in the third column be y.
Then, y x 9 + 9 = 117 or  9y = 108  or  y = 12.

In the first column, 17 - 11 = 25 - 19 = 6.
In the second column, 12 - 6 = 34 - 28 = 6.
Let the missing number in the third column be y.
Then, y - 8 = 19 - 11 = 8 or y = 16.

The numbers in the first row form a series 1², 2², 3².
So, missing number in the first row = 4² = 16.
The number in the second row from the series, 1, 2, 3, 4.
The number in the third row from the series 2, 4, 6.
So, missing number in the third row = 6 + 2 = 8.

Putting A=1, B=2, C=3,..., M=13,....,X=24,Y=25, Z=26, we have :

 JR = J + R2 + 2 = 10 + 18 2 + 2 = 16

CK = C + K2 + 2 = 3 + 112 + 2 = 9

TX = T + X2+ 2 = 20 + 242 + 2 = 24

OS = O + S2 + 2 = 15 + 192 + 2 = 19

 So, the missing numbers are :

21 and 14

Hence, the answer is (b).

Here it follows

426-153=2 and  3819-2010 =0

In the same way  399-93=1

 The number in the second column is three times the difference between the numbers in the third and first columns.
So, missing number = 3 x ( 16 - 7 ) = 3 x 9 = 27.