Solution:

NEELAM.

Explanation:
Just read the car's number upside down and you will know why.

Solution:

If you see the picture, they formed a pentagonal shape and achieved the required.

Solution:

Since the door is not visible in this picture, the bus is moving in the left direction.

Solution:

You better switch!

Your first choice has a 1/3 chance of having the car, and that does not change.<br>The other two doors HAD a combined chance of 2/3, but now a Goat has ben revealed behind one, all the 2/3 chance is with the other door.

Solution:

This statement is true but only in a specific case i.e. if both of the siblings continue to live till the day the younger is as old as the elder one was during the time of their birth.

Solution:

zero

I had 3 green socks and 1 Pink sock.

=> chances of pair of green socks = 1/2
chances of pair of mixed socks = 1/2
chances of pair of green socks = NULL

Solution:

The Lady sitting in the chair has the detector attached to the back of her blouse.

Solution:

   9567
+ 1085
======
 10652

Solution:

She is near the trunk of the tree as shown below.

Solution:

NONE, holes are empty.

Solution:

Steps:
1) Light fire on first bar from both the ends and second bar from one end.

2) After 30 seconds(when first bar gets completely burned out) , burn the second bar from second end as well.

3) When second run completely gets burned , you know its 45 seconds.