Correct Answer: B V K R W M R

Solution : Given:
_ V J R W B _ _ R W B V L _ _ B V _ _ W

To fill the series we have to divide the series – _ V J R W / B _ _ R W / B V L _ _ / B V _ _ W

Let's check each option –
First option: B V K R W M R; B V J R W / B V K R W / B V L R W / B V M R W (BVRW is repeated and add 1 to the place value of the third letter to get the third letter of the next part.)
Second option: A V K R W M R; A V J R W / B V K R W / B V L R W / B V M R W (No repeated pattern has been found.)
Third option: A W K R X N R; A V J R W / B W K R W / B V L R X / B V N R W (No repeated pattern has been found.)
Fourth option: B W K R W M R; B V J R W / B W K R W / B V L R W / B V M R W (No repeated pattern has been found.)

So, the series becomes→BVJRWBVKRWBVLRWBVMRW. Hence, the first option is correct.