Question

Leo is organising a party in home. He has 12 glasses of cold drink. He wants to serve equal number of glasses to all his guests such that no glass of cold drink is left.

What is the range of the relation from set of number of glasses of cold drink to set of number of guests ?

• A. $\{1,2,3,4,5,6\}$
• B. $\{12,6,4,3,2,1\}$
• C. $\{12,6,4\}$

Answer 1

The correct option is B $\{12,6,4,3,2,1\}$

Let set of number of glasses of cold drink be $X$
And, set of number of guests be $Y$.

Relation from set X to set Y is that equal number of glasses is served to each guest such that no glass of colddrink is left.

let $x\in X\&y\in Y$
According to relation, $x\times y=12$

Hence $R:\left\{\right(1,12).(2,6),(3,4),(4,3),(6,2),(12,1\left)\right\}$

Hence, range of the relation is
$\{12,6,4,3,2,1\}$