Question:medium
\[\begin{array}{|c|c|c|} \hline 7 & 6 & 8 \\ \hline 5 & 4 & 9 \\ \hline 3 & 2 & 1 \\ \hline 83 & 56 & ? \\ \hline \end{array} \]
\[\begin{array}{|c|c|c|} \hline 7 & 6 & 8 \\ \hline 5 & 4 & 9 \\ \hline 3 & 2 & 1 \\ \hline 83 & 56 & ? \\ \hline \end{array} \]
Show Hint
When two columns fit a clean rule, apply the same operation to the third to find the missing number.
Updated On: Aug 18, 2026
- 146
- 128
- 136
- 148
Show Solution
The Correct Option is A
Solution and Explanation
Step 1: Confirm the rule "sum of squares of the three entries in a column" on the first two columns: \(7^2+5^2+3^2=49+25+9=83\) and \(6^2+4^2+2^2=36+16+4=56\).
Step 2: Apply it to the third column: \(8^2+9^2+1^2=64+81+1\).
Step 3: Add the squares: \(64+81+1=146\).
\[ \boxed{146} \]
Step 2: Apply it to the third column: \(8^2+9^2+1^2=64+81+1\).
Step 3: Add the squares: \(64+81+1=146\).
\[ \boxed{146} \]
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