The Manager's three talented team members

During appraisal due to bell curve funda a manager is restricted to give promotion to only one of his team members. Three of his team members are equally competant. He wanted to select one by giving a puzzle. He called his three talented team members and blidfolded them. He placed a hat on  each of their heads. Manager took off their blindfolds and gave following clues and conditions
1) Each hat is either white or blue
2) There is atleast one blue hat
3) Contest is fair for all the three team members
4) Each team member can see the hat of other team members but not his.
5) The team members should not communicate to each other.

The manager declared that who ever comes up first with right answer shall be given promotion.

The most talented of his team members came up with right answer and explanation.What is the answer and the logic behind that?

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Fake Coins in a bag

You have eight bags, each of them containing 48 coins. Five of these bags contain only true coins, the rest of them contain fake coins. 
Fake coins weigh 1 gram less than the real coins. You do not know what bags have fake coins and what bags have real coins. You can use a scale with precision up to 1 gram. 

Making only one weighing and using the minimum number of coins, ..

How can you find the bags containing the fake coins?

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3 diff Clr Vessels

There are three different color cylindrical vessels: Blue, Red, and Green, with the sizes, as shown. The Red vessel is put into the Blue one, and the Green vessel into the Red one as shown. Each vessel is full of water. 

You can ignore the thickness of the walls of the vessels.

Which vessel contains the largest quantity of water? 

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Two Trains and a fly

Two trains are 200 km apart, and traveling towards each other at 50 km/hour each.
From one train a fly takes off, flying straight above the rails to the other train at the speed of 75 km/hour, bounces off it and flies back to the first train.

"This is repeated till the trains crash together and the fly is smashed."

What distance is the fly able to fly until its meet its tragic end?

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10 Coins

The arrangement below shows 10 coins in three rows of four.

Your task is to re-arrange the same ten coins to make FIVE rows of four.

Each line must be straight and must contain exactly four coins. 

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4 taps to fill water

A pool has four taps. The first tap takes two days to fill the pool, the second tap three days, the third four days and the last one only 6 hours.

How long will it take to fill the pool using all 4 taps at once?

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what was the Time

If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. 

What time is it now?

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