Question

Find the missing number in the given figure. \[ \begin{array}{|c|c|c|} \hline 5 & 2 & 21 \\ \hline 6 & 3 & 27 \\ \hline 4 & 1 & ? \\ \hline \end{array} \]

• A. 10
• B. 17
• C. 11
• D. 20

Hint:

For number matrix problems: \begin{itemize} \item Check row-wise and column-wise patterns, \item Look for multiplication followed by addition or subtraction, \item Observe changes in constants across rows. \end{itemize}

Answer 1

The Correct Option is C

Step 1: Observe the pattern in each row.
Step 2: The number in the third column is obtained as: \[ (\text{First number} \times \text{Second number}) + (\text{First number} + \text{Second number}) \]
Step 3: Verify with the first row: \[ (5 \times 2) + (5 + 2) = 10 + 7 = 17 \quad \text{(but shown as 21)} \] Alternatively, observe the actual consistent pattern: \[ (5 \times 2) + 11 = 21 \] \[ (6 \times 3) + 9 = 27 \]
Step 4: The constant added decreases by 2: \[ 11,\; 9,\; 7 \]
Step 5: For the third row: \[ (4 \times 1) + 7 = 11 \]
Step 6: Hence, the missing number is \(11\).