Hard Math Problems

Hard Math Problems 1 : Smart Math Problem
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As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?
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Hard Math Problems 2 : Maths Handshake Puzzle
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At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
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Hard Math Problems 3 : Hardest Mathematical Columbus Puzzle
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The Puzzle: Here is a famous prize problem that Sam Loyd issued in 1882, offering $1000 as a prize for the best answer showing how to arrange the seven figures and the eight 'dots' .4.5.6.7.8.9.0. which would add up to 82
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Hard Math Problems 4 : Maths Equation Puzzle
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I know a way by which i can make i can get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?
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Hard Math Problems 5 : Answer a Maths Riddle
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Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.
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Math Prblem

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Hard Math Problems 6 : Brain Twister Puzzle
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2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Solve it?
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Hard Math Problems 7 : Tough Age Puzzle
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My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
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Hard Math Problems 8 : Tricky Equation Puzzle
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Can you arrange four 9's and use of atmost 2 math symbols , make the total be 100?
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Weighing Balance

Hard Math Problems 9 : Weighing Balance Puzzle
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You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.
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Hard Math Problems 10 : February Maths Puzzle 
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Using eight eights and addition only, can you make 1000?
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