Friday, July 2, 2010

Math Puzzles

1.For a person, his childhood is 1/6 of life. Adolescence is 1/12. Marriage 1/7. A child born after 5 yrs. Child reaches half of father's age, child died. Person lived 4 more yrs. Person lived to (84).

2.I have 36 marbles. First person takes 1 then 1/7 of leftover. #2 takes 2 and 1/7 of what is left. #3 takes 3 and 1/7. ... Fair?

3.142,857 is magic. Times2, times3, ...

4.Arrange 10 coins in 5 rows and 4 coins are on each row. (Hint : star shape)

5.How do you reduce the leftover sentence to half for "A person served 4 yrs of his life sentence"?

6.35 horses divided amongst 3 people. 1/2, 1/3, 1/9. How?

7.1 person shared bread with 2. #2 provided 3 loaves and #3 provided 5. Loves wer cut into 3's and person #1 will pay 1 coin for each loaf (8 coins total). How many coins should #2 get?

8.Four 4's can make any #: 44-44, 44/44, 4/4 + 4/4, ...

9.There 7 full bottles of wine. 7 half bottles and 7 empty bottles. How 2 divide amongst 3 people so each has same amount of wine and same # of bottles?

10.3 men go and eat. At the end, each paid $10. The owner gave back a $5 and they left $2 for tips. They paid a total of $29 out, where is the last $1?

11.Perfect number: 28 is divisible by 1,2,4,7,14. Add them up = 28. Same with 6.

12.I have 30 melons to sell at 3 for $1. You have 30 to sell at 2 for $1. Can we just sell at 5 for $2?

13.Numbers who are friends. 220 is divisible by 1,2,4,5,10,11,22,44,55,110. 284 is divisible by 1,2,4,71,142. Many factors are the same. Add up factors of 220 will = 284 and vise v.

14.6 1 8
7 5 3
2 9 4 is a majic square.

4 5 16 9
14 11 2 7
1 8 13 12
15 10 3 6 is a majic sq.

15.90 marbles. #1 will sell 50, #2 30, and #3 10. Three people need to sell them at the same prices and get the same sum. (Hint : #1 sell 49 at 7 for $1 and last marble at $3 each)

16.I have between 200 and 300 coins. Div by 3 and throw away 1 remainder. Do this 3 more times. How many did I have at the beginning? (ans: 241)

17. Three people are charged to fill a large room with things he can buy with $1. #1: hay. #2: a candle lit, light fills the room. #3: burn a piece of paper and smoke fills room.

18.8 to the 3 power is 512. 5+1+2 = 8
27 is the same.

19.There are three red cards and 2 green cards. Three people will have 1 pasted to the back and they line up from 1 to 3 and they need to guess which color they have on the back. The last person (#3) can see the colors of #1 and #2. Person #2 can see the color of #1, Person #1 can see nothing. After a while, #1 got what color he has(red). How?

20. I have 8 coins and one weights less than the rest 7 which weight the same. I have a scale and I can only use the scale twice and no weight can be used.

21. There are 5 people. 2 with black eyes and 3 with blue. People with black eyes always tell the truth and Three with blue always lie. You can ask 2 questions (to 2 people) and find out which is which?

(Hint: Question #1:What is color of your eyes to the first? The answer is in Arabic so I can not understand.

Question #2:What did the first person answer? "She said her eyes are blue"

Question #3:What is the color of the eyes of the previous 2 people? Answer: The first black and second blue eyes.

Final answer:Bla, blu, bla, blu, blu)