Question: A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says "I have three daughters and the product of their ages is 72." The man tells the mathematician that he needs more information, so the mathematician tells him "The sum of their ages is equal to our apartment number." The man still needs more information so the mathematician tells him "My oldest daughter has her own bed and the other two share bunk beds."
How old are his daughters?
Answer: His daughters are 8, 3, and 3. The prime factorization of 72 is 2 * 2 * 2 * 3 * 3, so the possible ages are 2, 3, 4, 6, 8, 9, 12, and 18. Using the prime factorization and these numbers the only combinations of numbers that work for the first clue are:
18, 2 and 2.
9, 4 and 2.
6, 6 and 2.
6, 4 and 3.
8, 3, and 3.
Since he doesn't know the ages after this piece of information the sum of the three numbers must not be unique. The sum of 8, 3, and 3; and 6, 6, and 2 are the same. Now the final clue comes in handy. Since we know that the oldest daughter has her own bed it is likely that she has the bed to herself and is older than the other two so there ages are 8, 3, and 3 rather than 2, 6 and 6.
Question: What is the next sequence of numbers and why? 1 11 21 1211 111221 312211
Answer: 13112221 Read off the digits of the previous member and count the number of digits in groups of the same digit. There is one # 3, one # 1, two #2s, and two #1, thus, 13112221.
Question: Leap Year is every 4 years. True or False ?
Answer: False. Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100, but these centurial years are leap years if they are exactly divisible by 400. For example, the years 1700, 1800, and 1900 are not leap years, but the years 1600 and 2000 are. So 3 out of every 400 years are not leap years.
Question: Surrounded by life , yet life is its biggest enemy. But without life there is no need for it to exist. What is it?
Answer: A ship or a boat. Life here is the ocean.
Question: During what month do people sleep the least?
Answer: February, it's the shortest month after all.
Question: I'm 10 years old my brothers half my age now I'm 100 years old how old is my brother now?
Answer: 95 years old Because he's half my age when I was 10 so he's 5 years old so I'm only 5 years older 100-5=95