Brain Teasers
Question Mark's Function Machine
Question Mark is very proud with himself. He has just designed his very own function machine. When a number goes into this machine, a different number comes out. A basic formula is used to determine what comes out. If:
3 -> 90
4 -> 272
5 -> 650
6 -> 1332
7 -> 2450
What will come out if 10 goes in?
3 -> 90
4 -> 272
5 -> 650
6 -> 1332
7 -> 2450
What will come out if 10 goes in?
Answer
10100. The formula is n^4 + n^2. In other words:3^4 (81) + 3^2 (9) = 90
4^4 (256) + 4^2 (16) = 272
5^4 (625) + 5^2 (25) = 650
6^4 (1296) + 6^2 (36) = 1332
7^4 (2401) + 7^2 (49) = 2450
And therefore:
10^4 (10000) + 10^2 (100) = 10100
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