For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
10/22/2015

Problem 1

An urn contains a number of colored balls, with equal numbers of each color. Adding 20 balls of a new color to the urn would not change the probability of drawing (without replacement) two balls of the same color.How many balls are in the urn?

Problem 2

Find the smallest positive integer such that when its last digit is moved to the start of the number (example: 1234 becomes 4123) the resulting number is larger than and is an integral multiple of the original number. Numbers are written in standard decimal notation, with no leading zeroes.

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Please send your solutions to mr.asaigal@gmail.com.

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If you need clarification on any problem, please contact anil@lokvani.com.

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Problem #1

How can you add eight 8's to get the number 1,000?

8 + 8 + 8 + 88 + 888.

Problem #2

What digit is the most frequent between the numbers 1 and 1,000 (inclusive)?

Congratulations to RK Sambangi, who was the winner of last set of puzzles.

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