CAT DILR Questions | CAT Analytical Reasoning questions
Comprehension
Directions for Questions: Study the information below and answer questions based on it.
Machine M1 as well as Machine M2 can independently produce either Product P or Product Q. The times taken by machines M1 and M2 (in minutes ) to produce one unit of product P and Q are given in the table below : (Each machine works 8 hours per day).
CAT/1995
Question . 312
If equal quantities of both are to be produced, then out of the four choices given below, the least efficient way would be ...
Explanatory Answer
Method of solving this CAT DILR Question from Analytical Reasoning question
(c) To compare the four options take the LCM of 48, 64, 53 and 71, which comes out to be 722496. Now we have to find the case which will take maximum idle machine hours to manufacture 722496 units. So, idle machine hours for
(a) = (722496 × 3) / 48 = 45156 minutes
(b) = (722496×12) / 64 = 135468 minutes
(c) = (722496 × 10) / 53 = 136320 minutes
(d) = (722496 × 9) / 71 = 91584 minutes
As (c) takes maximum idle hours, it is the least efficient.