Previous Year Paper
CAT2004Previous Years Paper
In Nuts and Bolts factory, one machine produces only nuts at the rate of 100 nuts per min and needs to be cleaned for 5 mins after production of every 1,000 nuts. Another machine produces only bolts at the rate of 75 bolts per min and needs to cleaned for 10 mins after production of every 1,500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9,000 pairs of nuts and bolts?
A  130 min 
B  135 min

C  170 min 
D  180 min

Machine I:
Number of nuts produced in one min = 100
To produce 1000 nuts the time required = 10 min
Cleaning time for nuts = 5 min
Over all time to produce 1000 nuts = 15 min
Over all time to produce 9000 nuts = 138 min −
5 min = 133 min ... (1)
Machine II:
To produce 75 bolts time required = 1 min
To produce 1500 bolts time required = 20 min
Cleaning time for bolts = 10 min
Effective time to produce 1500 bolts = 30 min
Effective time to produce 9000 bolts = 30 × 6 – 10 = 170 min ... (2)
From (1) and (2)
Minimum time = 170 min
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