Srishti_15 wrote:
Before reading the 2 options itself, I felt like the question could be solved, rendering the 2 pieces of information invalid. So, obviously I'm making a mistake. Please help me out with a solution.
Thank you!
We are given that initially the boxes were arranged in 12 stacks each. => No. of boxes(Before) is a multiple of 12. Or N = 12K.
Now, after the addition of 60 boxes, they are arranged in 14 stacks each. => No. of boxes(After) is a multiple of 14. Or N + 60 = 14K'.
We can say, we have 12K + 60 = 14K' --- (1)
Option 1 : No. of boxes BEFORE < 110.
or 12K < 110, we can have K = 1,2,3,4,5,6,7,8,9
Out of these values only K = 2 and 9 ( satisfies the equation (1) above ). Hence, we have two values of K ==> INSUFFICIENT.
Option 2 : No. of boxes AFTER < 120.
or 14K < 120, we can have K = 1,2,3,4,5,6,7
Out of these values only K = 2 ( satisfies the equation (1) above ). Hence, we have only one value of K ==> SUFFICIENT.
Hence, answer is B.
I have a doubt here. For the first option, why do we have just 2 options for (A). Since we are checking for the number of boxes before the arrival of 60 boxes, we could have 9 options right? from 12,24,36.... 108. Only after the arrival of 60 boxes the bopxes are stacked in the ,multiples of 14 and hence the equation becomes 12x+60=14y.