When it's bad luck to meet a black cat?

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Nor do I know your number.
A: Now I know.

What are the four solutions for this?

On a magical land of Mexico , all the animal in the land are rational.

There are 10 tigers and one goat.
Tiger can eat goat but since it's a magical land , the tiger who eats the goat , turns into goat and then can be eaten by the remaining tiger(s).

If we leave them for some time then how many goat and tiger will be there , when we come back ?

Do you know who was buried in John's tomb?

Solve below rebus puzzle?

If 1+9+8=1, what is 2+8+9?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

Analyze and find the missing item in the sequence:
16, 06, 68, 88, __, 98

I am soft and cuddly that soothe your heart. But, If you pick my last name I am going to tear you all apart. Who am I?

One of the leprechaun is missing if you see the two pictures attached to this question. Where did he go? When he comes back, do you know where has he been?