If $3 \# 4 = 25$ and $5 \# 2 = 29$, then $7 \# 6 = ?$
82
88
85
86
Correct answer: 85
Solution
For $3 \# 4$, $3\times4+3+4=12+7=19$, so that does not fit. But $3^2+4^2=25$ and $5^2+2^2=29$, so the operation is the sum of squares. Thus, $7 \# 6=7^2+6^2=49+36=85$.