![Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Given-two-sets-X-1-2-3-and-Y-2-3-4-we-construct-a-set-Z-of-all-possible-fractions-where-the-numerators-belong-to-set-X-and-the-denominators-belong-to-set-Y.jpg)
Q. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is .
(A) 1/12
(B) 1/8
(C) 1/6
(D) 3/8
Ans: 3/8
Solution:
X = {1, 2, 3}, Y = {2, 3, 4} Z consists of all possible fractions where the numerators belong to set X and the denominators belong to set Y.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-537.png)