Mathematical Games

Game 7

Embracing Mutual Assumptions: A Promise of Reciprocity!

Imagine that You and your friend, Convolution, are playing this game together. Follow the steps to play the game.

Sl. No. Steps to follow  
1Ask Convolution to choose an odd number (let it be q).q = 11
2Next, find its triple.11 × 3 = 33
3If the product is even, ask him to take half of it;
if it is odd, request him to add unity to it and
then to take half of it.
33 + 1 = 34
34 / 2 = 17
4Now, multiply the result of the third step by 3.17 × 3 = 51
5Ask how many integral times 9 divides into
the latter product: suppose the answer to be b.
b = 5
(51 is not exactly divisible by 9)
6Then the number thought of was 2b + 1.2b + 1 = 2 × 5 + 1 = 11
Why does this always work?

This is a mathematical game that you can play with your friend Convolution several times. The final answer always ends up being one more than twice the quotient.

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