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.

Solution:

The mules is moving in circular path and hence outside legs travels more distance than inner legs.

Solution:

White should move the rook from
A1 to D1 and hence complete the castling move.

Solution:

The last marble will be yellow.

Since marbles can only be taken out in pairs and you started off with an odd number of yellows there is always going to be one yellow left over that you'll keep putting back in the box until it's left on it's own.

Solution:

From top to bottom, the flavors are :

nutty-chocolate
peppermint
orange
Jamaica
walnut

Solution:

Steps:
* Start both sand measuring glasses at the same time.
* You flip over the small sand hourglass when it finishes the first 5 hours.
* Flip over the large one when it finishes its first 7 hours.
* When the small sand hourglass runs to 10 hours, flip over the small and large sand hourglass at the same time. It means the large sand hourglass will run 3 hours again. When the large sand hourglass run to 13 hours (7 + 3 + 3), flip both the small and large sand hourglass over again to run another 3 hours.

Solution:

10968

Water image is 89601

Solution:

The first one cannot be aishwarya, because that would make the first one a liar. The second one cannot be aishwarya for the same reason. So, the third sister must be aishwarya. This means the middle one is kareena and the only one left is katrina.

Solution:

Steps
1. Monica go from side A to B for approx 59 minutes
2. Lisa then move back to side A for 2 minutes to fool guard. Now guard will think she is coming to side A.
3. then she again move toward B :-)

Solution:

Toy3 Toy6 | Toy1 Toy7 | Toy2 Toy5 Toy8 | Toy4