Clever Puzzles
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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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A teenager decided to move out of his city on Tuesday. He went different places outside his city and after a four day long trip, he headed back to his home on Tuesday.
Is it even possible?
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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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A spider is trying to build a web for itself. It doubles the work done everyday.
If the spider completely built the web in 15 days, how many days did it take for the spider to build 25% of the web ?
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A traveler arrives in a small town and decides he wants to get a haircut. There are only two barbershops in town – one on East Street and one on West Street. The East Street barbershop is a mess, and the barber has the worst haircut the traveler has ever seen. The West Street barbershop is neat and clean, its barber’s hair looks as good as a movie star’s.
Which barbershop does the traveler go to for his haircut, and why?
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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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