PCTM Online
The PCTM Puzzle of the Week - Solutions

(60*n+1)/7=natural number

301,721,1141..........

The smallest number of eggs Ann could have in her 
trunk is 301.

To solve this problem you need to first find the 
greatest common factor of 2, 3, 4, 5, 6.  This is 
2 x 3 x 2 x 5 = 60.

The number we are looking for must be one more 
than a multiple of 60 and be divisible by 7.
61 is not divisible by 7
(2 x 60 ) + 1 = 121 which is not divisible by 7
(3 x 60 ) + 1 = 181 which is not divisible by 7
(4 x 60 ) + 1 = 241 which is not divisible by 7
(5 x 60 ) + 1 = 301 which IS divisible by 7

The answer is 301 eggs.

Comments or questions? Send us e-mail.

 Return to PCTM home page.