Chris & Maya are looking at three companies in the motorbike industry- Honda, Hero & Yamaha. They identified three strength measures: mileage, after-sales service and brand-name. They use a rating scale of 1-10 and the scores for Honda are 7,5, 8, for Hero are 8,6,7 and for Yamaha are 6,8,9 respectively. If unweighted method is used for competitive strength assesment, what will be the order of the companies from highest to lowest?

1/ Zamaha

2/ Hero

3/ Honda

Step-by-step explanation:

unweighted method is used which means the 3 mearsure are accounted for the same poportion in competitive strength assesment, 1/3 for each criteria.

So, we caculate the avergae points of each brand;

The order of the companies from highest to lowest is:

1/ Zamaha

2/ Hero

3/ Honda

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18