Problem 1In how many ways can 50! be expressed as a sum of two or more consecutive positive integers?
Problem 2
The minute hand of a clock is twice as long as the hour hand. At what time, between 00:00 and when the hands are next aligned (just after 01:05), is the distance between the tips of the hands increasing at its greatest rate?
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Last Set of Problems
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?
210.
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.
102,564.
Congratulations to RK Sambangi, who was the winner of last set of puzzles.
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