Sunday 10 July 2011

Interesting fact ---> 30 - Puzzle

Two Mathematicians are in a conversation and discuss about the development made on the technology front. They had numerous things to discuss and chose to refer to one of the path breaking development in the following way

- Two horizontal lines run in parallel and their left edges are supported by a straight line which extends beyond the second horizontal line
- Two slanting lines meet at one point and are connected in the middle through another line
- One of the earliest number cut into half
- Three horizontal lines run in parallel and their edges are connected by a vertical line
- A single digit numeral joined by a straight line
- This is followed by two circular balls which run one behind the other to meet two slanting lines converging at the same point on a vertical line

What are we talking about?

Saturday 9 July 2011

Interesting fact ---> 29 - Unique attribute among cubes

Back to cubes... 125, 216, 343, 512, 729 - One of the cubes has a special property compared to the others. Can you figure that out? Share any other attribute as well though one of them stands out for me

Interesting facts ---> 28 - Find this number

This should be relatively easier than the previous one (Puzzle 27)

Two boys discuss at length about a 4 digit number (ABCD)

Boy 1: The first two digits is a perfect square
Boy 2: Well...If you subtract AB-CD, then you get the square root of AB
Boy 1: That's a good one... But this is even better - If you interchange AB and CD and make it as CDAB, then its a perfect square
Boy 2: Excellent... But here's another beauty... If you add AB+CD it is the square root of CDAB!!!

Boy 1: That was a good one again - On top of this here's the clincher - The number ABCD is special in some way - It is the lowest number with.... (fill up the blanks)

What' the number?

Interesting facts ---> 27 - Question of the day

Two men start a conversation by looking at a 5 digit number

1st Man : Its a perfect square
2nd Man: If I remove 2nd digit, it is still a perfect square
1st Man: If I remove 1st 2 digits, it is still a square!
2nd Man: Sum of the digits is equal to the first 2 digits
1st Man: If you add first two digits with the last 3 digits (AB + CDE), the resulting number is difference of a perfect cube - perfect square
2nd Man: If I remove the 2nd and 4th digit, the resulting number is a perfect cube

What's the number?