For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
06/04/2015

Problem #1

Find the fifth term in the following series 77, 49, 36, 18, ...

Problem #2

If we set out by ranks of 10, we will be one short. We will also be one short if we set out by ranks of 9, 8, 7, 6, 5, 4, 3, and even 2. Yet there are fewer than 5000 participants. How many are we?

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Problem #1

Use each digit 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 exactly once to form two five-digit numbers that when multiplied produce the largest quantity.

Problem #2

Can you find five consecutive whole number that are all positive and such that the sum of the squares of the two largest numbers is equal to the sum of the squares of the three smallest?

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