Quandaries and Queries
 

 

From:    Steve
            secondary level question
            Parent
 
Question: John likes 400 but not 300; he likes 100 but not 99; he likes 2500 but not 2400.
 
Which does he like?
900
1000
1100
1200
 

 

Hi Steve,

Look at the factors of numbers he likes and dislikes.

400 = 222255;
100 = 2255;
2500 = 225555;

300 =355;
99 = 3311;
2400 = 22222355.

The numbers he likes are all perfect squares and are only made up of 2's and 5's. Based on the given information there are two logical answers:

900, since it is a square, and
1000, since 1000 = 22255.

Penny

 
 

Go to Math Central