Utkrisht123 added a question in New Logic/Math PuzzlesHow many oranges are there?A boy sells oranges from door to door.
One day while on his rounds he sold 1/2 an orange more than half his orange to the first customer. To the second customer he sold 1/2 an orange more than half of the remainder and to the third and last customer he sold 1/2 an orange more than half she now had, leaving her none.
Can you tell the number of oranges he originally had?
Oh by the way he never had to cut an orange
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Utkrisht123 added a question in New Logic/Math PuzzlesFunny EquationIn a classroom of standard of VIII somebody wrote an equation on a blackboard ; to the left of the equal sign is one symbol, and to the right three symbols. A boy remarked that if the symbol to the left of the equal sign were inverted and one of the three symbols to the right were erased, the equation would still be true and it contains no redundant or unnecessary symbols. What is the equation?
(The line in a fraction counts as a symbol)
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Utkrisht123 added a question in New Logic/Math PuzzlesThe Conscientious DriverMr. D always followed the advice to conserve energy as he was a conscientious driver. While driving his family Ford one day, he came to a stop sign and noticed that the odometer showed 25952 miles. Observant as he was he recognised that the number was a palindrome. He thought that it will be a long time before a palindromic number happens again. Yet two hours later when he arrived home the odometer showed a new palindrome number.
What was the new palindrome number, and how fast was he travelling in those two hours?
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Utkrisht123 added a question in New Logic/Math PuzzlesInterview QuestionIn an interview, the interviewer asked a candidate about a four digit number whose first two as well as last two digits are perfect squares.
The conversations between the interviewer and the candidate are as follows
Interviewer : Can you tell me what number I am thinking of ?
Candidate : No I am not sure.
Interviewer : There are no zeroes in the number.
Candidate : I am still not sure
Interviewer : There is no repetition of digits.
Candidate : Sorry, I am not sure even now.
Interviewer : OK the sum of digits is a prime number.
Candidate : Sorry.
Interviewer : The first two digit number is bigger than the last two digit number. And no digit is 5. If you still don't know then I am sorry you may leave the room.
Candidate : Yes sir, now I know the number.
Can you tell what the number is ?
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Utkrisht123 added a question in New Logic/Math PuzzlesA gameA and B played a game with some amount. They agreed that whoever will lose have to give half his amount to the winner.
They played 100 games and a result was that A won First game B won next two games A won next three games and so on
A B B A A A B B B B A A A A A...............
Who will have graeter amount after the 100th game?
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Utkrisht123 added a question in New Logic/Math Puzzlesa^2 -b^2 = (a+b)(a-b)All of you know that a2 - b2 = (a+b)(a-b)
I know only two method to prove it.
a2 - b2 a2 - b2
a2 - b2 + ab - ab a2 - b2 + 2ab -2ab -2b2
a2 + ab - ab - b2 (a+b)2 - 2b(a+b)
a(a+b) - b(a+b) (a+b)(a+b) - 2b(a+b)
Apart form these two method are there any other method to prove it.
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Utkrisht123 added a question in New Logic/Math PuzzlesPerfect numberPerfect numbers are number whose sum of factors are twice the number itself.
1. 6 factors of 6 are 1,2,3 and 6 sum=12 i.e 2 * 6
2. 28 factors 1,2,4,7,14,28 sum=56 i.e 2 * 28
can you tell any other perfect no?
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