Solution:

The first door.

The bear will try to protect the cub, even if you offer her your food.
Swimming a lake with crocodiles is definitely not a good idea.
You can use your bucket to fight the fire with the water from the lake and can also distract the crocodiles with the food you had.

Solution:

38

Solution:

The pregnant lady.

The detective Byomkesh Bakshi noticed that the pregnant women look 6-7 months pregnant in January, May, and even in July. So that pregnant lady is the thief we are looking for and must be faking her pregnancy.

Solution:

450

Explanation:
60 / 2(10+5) = ?
60 / 2(15) = ?
60 / 2 x 15 = ?
Using the BODMAS rule, we need to apply division first.
30 x 15 = ?
450 ..... The Answer

Solution:

A

The ladder of B is about to break.

Solution:

Line - C

Explanation:
A^2= 3^2 + 6^2 => 9+36 => 45
B^2= 5^2 + 5^2 => 25+25 => 50
C^2= 6^2 + 4^2 => 36+16 => 52
D^2= 7^2 + 1^2 => 49+ 1 => 50

Solution:

Batsman-8

1st over:
1st Ball, Batsman-1 got out
2nd Ball, Batsman-3 got out
3rd Ball, Batsman-4 got out
4th Ball, Batsman-5 got out
5th Ball, Batsman-6 got out
6th Ball, Batsman-7 got out

Before the start of a new over, the batsmen will swap strikes.
i.e Batsman-2 at nonstriker will become striker and batsman-8 will go at the nonstriker end.

2nd over:
1st Ball, Batsman-2 got out
2nd Ball, Batsman-9 got out
3rd Ball, Batsman-10 got out
4th Ball, Batsman-11 got out.

Solution:

What.

It is clearly mentioned that "What is the name of the fourth son". Note it's a statement with a period(.) and not with a question mark(?).

Most of the people has given the answer as "East" or "Someone".

Solution:

The Girl

Solution:

Ground Floor.

Any person staying on the floor other than the ground floor would have to call the elevator to reach their respective floors. So, the ground floor calls the elevator way above the individual floors.