What is the answer of $35\times 35 ?$

We can find the product of a number ending in $5$ with itself without actual multiplication.

We have to find $35\times 35$.
Let's take $35$ and then we have to cross out $5$ from $35$. We get $3$.
Now, the successor of $3$ is $4$. So, $3\times 4=12$
For the final answer, we have to write $12$ followed by $25$.
Hence, $35\times 35=1225$

Therefore, the correct answer is option C.