ANS:C - 9

Structure of the Problem:

• The pattern involves four rows of numbers.
• Each row contains four-digit numbers.
• You need to perform specific arithmetic operations to get the numbers in the third and fourth rows.

Explanation of the Pattern:

1. Addition for the Third Row:
   • Add the numbers from the first row and the second row to get the number in the corresponding position in the third row.
2. Subtraction for the Fourth Row:
   • Subtract the number in the first row from the number in the second row to get the number in the corresponding position in the fourth row.

Step-by-Step Process:

1. Addition Calculation:
   • For each column, add the numbers in the first row and the second row to determine the number in the third row.
2. Subtraction Calculation:
   • For each column, subtract the number in the first row from the number in the second row to determine the number in the fourth row.

Example Walkthrough:

Let’s assume the numbers are as follows:

• First Row: 1234, 5678, 9101, 1121
• Second Row: 4321, 8765, 1011, 2111

Calculate the Third Row:

1. Column 1: 1234+4321=55551234 + 4321 = 55551234+4321=5555
2. Column 2: 5678+8765=144435678 + 8765 = 144435678+8765=14443
3. Column 3: 9101+1011=101129101 + 1011 = 101129101+1011=10112
4. Column 4: 1121+2111=32321121 + 2111 = 32321121+2111=3232

• Third Row: 5555, 14443, 10112, 3232

Calculate the Fourth Row:

1. Column 1: 5678−1234=44445678 - 1234 = 44445678−1234=4444
2. Column 2: 8765−5678=30878765 - 5678 = 30878765−5678=3087
3. Column 3: 1011−9101=−80901011 - 9101 = -80901011−9101=−8090
4. Column 4: 2111−1121=9902111 - 1121 = 9902111−1121=990

• Fourth Row: 4444, 3087, -8090, 990

Conclusion:

If the final number in the fourth row calculated as per the pattern is "9," it fits the described operations. The pattern requires adding the numbers in the top two rows to get the third row and subtracting the first row from the second row to get the fourth row.