For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
07/28/2016

Problem 1
There are 20 people in a line and it ends with the shortest person and ends with tallest. Each subsequent person is taller than the person standing in front of her by 2%. What is the height of last person in line if the first one is 3 feet tall?

Problem 2
What is the last digit of 7⁷⁷

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Problems from 07/14/16

Problem 1
A mystery number has two digits. It is an odd number less than 50 but greater than 45. How many possible mystery numbers are there?

Problem 2
Hank the hot dog vendor is trying to buy the same number of hot dogs and hot dog buns. Hot dogs are sold in packages of 6. Buns are sold in packages of 10. Whatâ€™s the smallest number of packages of hot dogs and of buns that Hank can buy to have a matching number of each?

Congratulations to Aseem Chandawarkar, who was the winner of the last set of puzzles.

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