Solution to puzzle 8: Maria is not counting Sundays. So she is not counting 1/7th of days of her age. That is to say she is only counting 6/7th of her age. 6/7th of her age = 30 Her actual age = 30 X 7/6 = 210/6 = 35 years. Puzzle 9 : The 4 coins problem You’re creating a new coin system for your country. You must use only four coin values and you must be able to create the values 1 through 10 using one coin at a minimum and two coins maximum. What 4 coins do you choose, and can you think of a second set of 4 coins that achieves the same goal?
What is the pair of numbers whose product is equal to the product of its least common multiple (LCM) and greatest common divisor (GCD)? You can find the solution here . Hint: The problem is much much easier than you think. The GCD is the largest positive integer that divides each of two or more integers. The LCM is the smallest positive integer that is divisible by both integers
There is a place called the Island of Knights and Knaves, where knights always tell the truth and knaves always lie and every inhabitant is either a knight or a knave. On this particular island, each woman is either a constant liar or a constant truth teller. The men are as usual—knights and knaves. In this island, I was introduced to three married couples—the Arks, the Bogs, and the Cogs. One of the three couples is the king and queen of the island. I was reliably informed that in none of the couples are both of them liars. They all made the following statements: Mr. Ark: I am not the king. Mrs. Ark: The king was born in Italy. Mr. Bog: Mr. Ark is not the king. Mrs. Bog: The king was really born in Spain. Mr. Cog: I am not the king. Mrs. Cog: Mr. Bog is the king. Who is really the king? You can find the solution here.
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