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 | Example |
| 1 | Ask Convolution to choose an odd number (let it be q). | q = 11 |
| 2 | Next, find its triple. | 11 × 3 = 33 |
| 3 | If 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 |
| 4 | Now, multiply the result of the third step by 3. | 17 × 3 = 51 |
| 5 | Ask 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) |
| 6 | Then the number thought of was 2b + 1. | 2b + 1 = 2 × 5 + 1 = 11 |
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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