For The Mathematically Inclined

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For The Mathematically Inclined

Anil Saigal
04/22/2014

PROBLEM #1
What is the sum of the angle measures in the shape in Figure 1 on the right?

PROBLEM #2

What is the value of:

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Problems from 04/10/14

PROBLEM #1

What comes next in this letter sequence: ZOTTFFSSE

Solution
N.

PROBLEM #2

Find the number x that satisfies these two properties:

The digits of x add up to a number x where x equals y times the number you get when you reverse the digits of y.
Reverse the digits of x and find the prime factors of the number you get. Then take the sum of the squares of these prime factors and halve it. Removing the digit 0 from the new number yields back x.

Solution

1729.

Congratulations to Abhimanyu Bhargava and Saba Lateef, who were the winners of the last set of puzzles. Here are two puzzles for one and all!

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Figure 1