Directions: Select the missing number from the given alternatives:...

The numbers in the matrix follow the below mentioned logic:

The value at the middle row is the sum of digits of top and bottom rows.

For first column,

Value in the top row =38 , Value in the bottom row = 19

Sum of digits = 3 + 8 + 1 + 9 =& 21, is the value in the middle row.

For second column,

Thus 5 + 4 + 0 + 9 =& 18& is the required value.

For third column,

Thus, 6 + 1 + 1 + 4 = 12

For fourth column,

Thus, 7 + 9 + x = 24

24 - 16 = x

=& 8& is the required value.

The combination where sum of digits comes to 8 should be the correct match.

Only option C and D are such where sum of the digits of the second number comes to 8, but in option C the first value doesn't match with 18.

In option D, the first value is 18 and the sum of digits of second value is 4 + 4 = 8.

Hence, option D is correct.