Here's a question from CAT Previous Year Paper 2020 that not just tests your analytical and problem-solving ability, but also lays emphasis on the topic of Ratio and Proportion. Over the years, these types of questions in the DILR section of the CAT Exam have become increasingly high and the CAT Question Paper no longer has a standardized format for this section. Solve this question and ace your CAT Online Preparation.
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 15 : The delivery ratio for a given day is defined as the ratio of the number of orders booked on that day which are delivered on the next day to the number of orders booked on that day which are delivered on the second day after booking. On which of the following days, was the delivery ratio the highest?
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Choice D is the correct answer.
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