Puzzle 33 - solution

-

The number must start with a 3 because it is between 290000 and 310000 and 2 is not an odd number - all digits are odd.

The number also ends with. 

The third digits is number of fingers on your hand. So 5. 3rd, 4th and 5th digits are consecutive odd numbers in ascending order - so they are 579

Second digit is 4th digit - 2 = 7-2 = 5

So we have our answer :  355793


What about the bonus question? 

So if the ant travels x inches on first day, it travels x/3 inches on second day and x/3/3 inches on third day. The total distance is 78

x + x/3 + x/9 = 78 

13x/9 = 78

x = 78 * 9/13 = 54 inches.

First day it traveled 54 inched. Second day 54/3 = 18 inches and third day 18/3 = 6 inches. Total is 54+18+6=78

Note : The original question has distance as 76 inches. But that gives us a fractional value? Any other answers for 76 as total?

Comments

Post a Comment

Popular posts from this blog

Puzzle 9 : The 4 coins problem

-
 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?
Read more

Puzzle 35 - Open sesame

-
I am writing a post after two months.  Here is a locked question ;) There is a number lock. You have to find the number to unlock it.  And here are the results of various number combinations. 682 - one digit is right and in the right position. 614 - one digit is right but in the wrong position. 206 - two digits are right but both are in the wrong positions. 738 - all digits are wrong. 380 - one digit is right but in the wrong place So what is the correct code to open the lock? Find the solution here
Read more

Puzzle 66 - solution

-
 The question was  What is wrong with this proof ? a=b multiply both the sides by a     --1 a2 = ab  add -b2 to both the side           --2 a2-b2 =ab-b2  factorizing                                --3 (a+b)(a-b) = b(a-b)  divide both the sides by (a-b)    ---4 a+b=b Substituting a with b,              ---5 2b = b Dividing both the sides by b    ---6 2 = 1   The problem is with step 4. When a is equal to b, a-b is zero. You can not divide numbers by zero because division is only defined for non-zero numbers.  
Read more