Question

It’s Valentine’s Day and five boys Amit, Bhuvan, Chetan, Dilip and Ehsaan are buying flowers for their respective girlfriends. Each of these boys has a preference from 1 to 5 (1 being first preference, it is given the first rank) of flowers among orchid, rose, carnation, gerbera and daffodil. There is a level of dissimilarity between the five boys and this is measured as the sum of the differences in the ranks assigned by them to each of these 5 flowers. The greater this difference, the more dissimilar the persons.
The following table indicates the preferences of each of these five boys:
$\begin{array}{cccccc}& \text{AMIT}& \text{BHUVAN}& \text{CHETAN}& \text{DILIP}& \text{EHSAAN}\\ \text{ORCHID}& \text{2}& \text{5}& \text{1}& \text{4}& \text{1}\\ \text{ROSE}& \text{4}& \text{2}& \text{3}& \text{3}& \text{3}\\ \text{CARNATION}& \text{3}& \text{1}& \text{4}& \text{2}& \text{2}\\ \text{GERBERA}& \text{5}& \text{4}& \text{5}& \text{1}& \text{4}\\ \text{DAFFODIL}& \text{1}& \text{3}& \text{2}& \text{5}& \text{5}\end{array}$
Q. For the person who’s second preference is Rose, what is the level of dissimilarity with the one who’s fourth preference is orchid?

• A. 8
• B. 6
• C. 10
• D. 12

Answer 1

The correct option is A 8

$\begin{array}{cc}\text{Name}& \text{Level of Dissimilarity}\\ \text{Amit-Bhuvan}& \text{3+2+2+1+2=10}\\ \text{Bhuvan-Dilip}& \text{1+1+1+3+2=8}\\ \text{Dilip-Ehsaan}& \text{3+0+0+3+0=6}\\ \text{Chetan-Ehsaan}& \text{0+0+2+1+3=6}\end{array}$

The person who’s second preference is Rose is Bhuvan and the one who’s fourth preference is orchid is Dilip.
Their level of dissimilarity is 8. Hence, option (a) is the correct answer.