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Question

If equal quantities of both are to be produced, then out of the four choices given below, the least efficient way would be
  1. 53 of each with 10 min idle
  2. 71 of each with 9 min idle
  3. 64 of each with 12 min idle
  4. 48 of each with 3 min idle


Solution

The correct option is A 53 of each with 10 min idle
The least efficient way is the option that gives least production with highest idle time. So, we can compare the options in the following two ways. Assume that the production is constant (viz. LCM of 48, 64, 53 and 71) in all 4 options and compare the corresponding idle time. Or we can assume the idle times to be constant (viz. LCM of 3, 12, 10 and 9) in all 4 options and compare the corresponding production. The latter method is more preferable as finding LCM of idle time is easier. So, LCM of 3, 12, 10. 9 = 180. So if we assume that the idle time has to be 180 min, then as per option (a) we would get production =(1803×48)=2880 units, as per option (b), we would get production =(1802×64)=960 units, as per option (c); production =(18010×53)=954 units and as per option (d); production =(1809×71)=1420 units. Thus, option (c) is the right option.

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