Correct Answer: 144

Solution : Divisible by $3$ (i.e.,$702....948$) = $\frac{948-702}{3}+1= 83$
Divisible by $7$ (i.e.,$707...945$) = $\frac{945-700}{7}+1= 35$
L.C.M of $3, 7$ is $21$.
Divisible by $21$ (i.e.,$714...945$) = $\frac{945-714}{21}+1= 12$
Divisible by $3, 7$$= 83+35-12= 106$
Total numbers from $700$ to $950= 251$
Total numbers from  $700$ to $950$ which are not divisible by both $3$ and $7= 250-106= 144$
Hence, the correct answer is 144.