Correct Answer: 46

Solution : Given:
1. my mistake ⇒ 62
2. nice shoes ⇒ 45
3. people are nice ⇒ 135
4. big mistake ⇒ 29

By comparing all the above-coded sentences, we find that –
In sentences 1 and 4, mistake is a common word and 2 is a common code.
In sentences 2 and 3, nice is a common word and 5 is a common code.
The remaining words and the codes in sentence 1 are my and 6. In sentence 2 are shoes and 4 . In sentence 3 are people , are , and 1 , 3 . In sentence 4 are big and 9 .
Finally, mistake→2 ; nice→5 ; my→6 ; shoes→4 ; people→1 or 3 ; are→1 or 3 ; big→9

So, my shoes will be coded as 46 . Hence, the third option is correct.