A
transporter receives the same number of orders each day. Currently he has some
pending orders to be shipped. If he uses 7 trucks then at the end of 4th day,
he can clear all the orders. Alternatively If he uses only 3 trucks, then
all the orders are cleared at the end of 10th day. What is the minimum number
of trucks required so that there will be no pending order at the end of the 5th
day?

(A) 4 (B) 5 (C) 6 (D)
7

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answer (C)

ReplyDeleteYes you are right.

DeleteTotal number of trucks required in all to complete the task at hand is required to get the answer.

If 7 trucks are used, it requires 4 days for completion. So maximum number of trucks can be utilised is 7*4 = 28

If 3 trucks are used, it requires 10 days for completion. So maximum number of trucks can be utilised is 3*10 = 30

From these two points, we can conclude that the number of trucks required is 28. It cat't be 27 as in that case, utilising 3 trucks for 9 days is sufficient. It can't be 29 or 30 as utilisation of 4 trucks for 7 days is sufficient to complete the work. So, if the work is to be completed by the end of 5 th day, the number of trucks/day to be used is 28/5, which can be rounded to 6 trucks.