What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?

Answer: Option B

The two digit number which gives a remainder of 3 when divided by 7 are:
10, 17, 24 ..... 94.
Now, these number are in AP series with
1st Term, a = 10;
Number of Terms, n = 13;
Last term, L = 94 and
Common Difference, d = 7.
Sum,
$$\begin{array}{rl}& =\left\{\text{n}\times \frac{\text{a}+\text{L}}{2}\right\}\\ & =13\times 52\\ & =676\end{array}$$