Easy Puzzles

There is a unique number of ten digits, for which the following holds
 all digits from 0 up to 9 occur exactly once in the number;
 the first digit is divisible by 1;
 the number formed by the first two digits is divisible by 2;
 the number formed by the first three digits is divisible by 3;
 the number formed by the first four digits is divisible by 4;
 the number formed by the first five digits is divisible by 5;
 the number formed by the first six digits is divisible by 6;
 the number formed by the first seven digits is divisible by 7;
 the number formed by the first eight digits is divisible by 8;
 the number formed by the first nine digits is divisible by 9;
 the number formed by the ten digits is divisible by 10.
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Mr. PK was all set to go to the village of WonderLand to meet his friend. So, he packed his bags and left for the village at 5 in the morning. Upon traveling on a road for miles, he came across a point where the road diverged into two. He was confused on which road to take. He gazed around and he saw two owls sitting on a branch. He thought he could ask for directions for the village from the two owls. So he went to the tree. There he saw a sign which read,
“One owl always lies, and one is always truthful. They both fly away if you ask them more than 1 question.”Mr. PK was caught in the dilemma of what to ask? And from which owl to ask, since he only had one question. What should Mr. PK ask?
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There are six eggs in the basket. Six people each take one of the eggs.
How can it be that one egg is left in the basket?
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Mary’s mum has four children.
The first child is called April.
The second May.
The third June.
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Stacy has twelve black socks and twelve white socks in her drawer.
In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match?
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