Puzzle 117 - solution

-

 He needs 58 seconds. 

When he cuts the the 29th  pieces, the last piece is already cut. He must make only 29 cuts. 

Comments

Post a Comment

Popular posts from this blog

Puzzle 15 : All but two

-
Solution to puzzle 14 Huh, sending more money would have been much easier than this puzzle.      SEND     MORE   MONEY We have to find values for S,E,N,D,M,O,R,Y (8 digits out of 10).  Now, we're adding two 4-digits numbers.  Since 9999+9999 < 20000, M cannot be >=2. And by the "usual rules" for this kind of question, it can't be 0. So M=1 . Now, looking at the fourth (left-most) column, we have either S+1>=10 (if there's no carry) or 1+S+1>=10 (if there's carry). So S=8 or 9 , and O=0 or 1 . Since 1 is already taken, O=0   In the third column, we can't have E+0=N (no carry), so E+1=N and there's carry from the second column.   So in the second column either N+R=10+E=9+N, and R=9, or there's carry and 1+N+R=10+E=9+N, and R=8. So R=8 or 9 , just like S. IF S=8 and R=9,we're looking at 8END + 109E ====== 10NEY But this cannot possibly work: we need to get either E+0=10+N or 1+E+0=10+N i...
Read more

Puzzle 19 : Water, water everywhere

-
 I know I have been greatly missed all this time. ;) Any ways, let us have some more fun with numbers and logic.  Water, water everywhere   This is an interesting puzzle from the website mathisfun. The cold tap in my bath lets the water in at the rate of 15 litres per minute. The hot tap fills the bath at the rate of 10 liters per minute. The plug hole lets the water out of the bath at the rate of 12 liters per minute. The bath holds a maximum of 520 liters. I turn both taps on, but forget to put the plug in. How many minutes does it take for the bath to overflow? Let me reiterate the statement by the original author here. Don't try this at home. Water is precious. Find the solution here
Read more

Puzzle 92 - solution

-
 The number 121 is a perfect square in any number number system with base greater than 1. That is because the product of 11 and 11 in any number system is 121.   The answer is 121  All the numbers in the sequence are 16 in different number system. First one 10 is 16 in hexadecimal number system. 11 is 16 in number system with base as 15. Next one 12 is 16 in base 14 number system and so on. So our answer is 16 in base 3 = 121.
Read more