(A) 2:1
(B) 7:5
(C) 3:2
(D) 1:5
Correct Option is: C
The carton contains a dozen mirror Hence, when dropped, a few mirrors may break. Here, the ratio obtained,
no matter whatever is the number of broken mirrors, will always sum up its terms such that they divide 12
exactly. From the given choices, we add up terms of each ratio to check, if they divide 12 or not.
For 2 : 1, 2 + 1 = 3, which divides 12
For 7 : 5, 7 + 5 = 12, which divides 12
For 1 : 5, 1 + 5 = 6, which divides 12
For 11 : 1, 11 + 1 = 12, which divides 12
But for 3 : 2, 3 + 2 = 5, which does not divides 12.
Hence, 3 : 2 cannot be the ratio.
For dividing 12 into two whole numbers the sum of the terms of the ratio must be a factor of 12. So they
cannot be in the ratio of 3 : 2