For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
05/20/2015

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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Problems from 5/7/15

Problem #1

How many times do the two hands of a clock point in the same direction between 6:00 am and 6:00 pm of a single day?

Problem #2

How far is the horizon from the top of a 125.7-meter-high lighthouse? (The earth can be considered spherical with a circumference of 40,000 km.)

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