The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

The correct option is 62.

Step 1: Calculate total runs after 50 innings
The batsman's average score after 50 innings was 46.4.
Total runs after 50 innings = Number of innings × Average score

$\text{Total runs (50 innings)}=50\times 46.4=2320$

Step 2: Calculate the new average and total runs after 60 innings
After the 60th innings, his average score increased by 2.6.
New average score = 46.4 + 2.6 = 49

$\text{Total runs (60 innings)}=60\times 49=2940$

Step 3: Calculate the total runs scored in the last 10 innings
Runs scored in the last 10 innings = Total runs after 60 innings - Total runs after 50 innings

$\text{Runs in last 10 innings}=2940-2320=620$

Step 4: Calculate the average score in the last 10 innings
Average score in the last 10 innings = Total runs in last 10 innings / 10

$\text{Average score (last 10 innings)}=\frac{620}{10}=62$

Thus, his average score in the last ten innings was 62.