CAT 2020 Question Paper | CAT LR DI Slot 3

CAT Previous Year Paper | CAT DILR Questions | Question 16

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CAT DILR : CAT 2020 Question Paper Slot 3

XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.

The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.  
It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.

Day Cumulative orders booked Orders delivered on day Cumulative orders lost
13th 219 11 91
14th 249 27 92
15th 277 23 94
16th 302 11 106
17th 327 21 118
18th 332 13 120
19th 337 14 129

Question 16 : The average time taken to deliver orders booked on a particular day is computed as follows. Let the number of orders delivered the next day be x and the number of orders delivered the day after be y. Then the average time to deliver order is (x+2y)/(x+y). On which of the following days was the average time taken to deliver orders booked the least?

  1. 15th
  2. 13th
  3. 16th
  4. 14th

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The answer is '14th'

Choice D is the correct answer.

 

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