Comprehension
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.
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: 1
Among the following days, the largest fraction of orders booked on which day was lost?
Among the following days, the largest fraction of orders booked on which day was lost?
Updated On: Jun 30, 2026
- 14th
- 13th
- 15th
- 16th
Show Solution
The Correct Option is C
Solution and Explanation
To identify the day with the highest proportion of lost booked orders, analyze the provided data. First, calculate daily booked orders:
Next, calculate daily lost orders:
Now, calculate the fraction of booked orders that were lost daily:
The 16th shows the largest fraction of orders booked and lost, with a value of 0.48. Therefore, the largest fraction of orders booked on a given day that were lost occurred on the 16th.
| Day | Orders Booked |
|---|---|
| 13th | 219 |
| 14th | 30 |
| 15th | 28 |
| 16th | 25 |
| Day | Orders Lost |
|---|---|
| 13th | 91 |
| 14th | 1 |
| 15th | 2 |
| 16th | 12 |
| Day | Fraction Lost |
|---|---|
| 13th | 0.415 |
| 14th | 0.033 |
| 15th | 0.071 |
| 16th | 0.48 |
Was this answer helpful?
0
Question: 2
On which of the following days was the number of orders booked the highest?
On which of the following days was the number of orders booked the highest?
Updated On: Jun 30, 2026
- 13th
- 15th
- 12th
- 14th
Show Solution
The Correct Option is A
Solution and Explanation
The correct answer is (A): \(13^{th}\)
| \(Booked\) | \(Delivered\) | \(Lost\) | |||
|---|---|---|---|---|---|
| \(n^{th}\) | \(Cumulative\) | \(n^{th}\;day\) | \(Delivered\;[n-1,n-2]\) | \(Cumulative\) | \(n^{th}\;day\) |
| 11 | 174 | ||||
| 12 | 188 | 14 | |||
| 13 | 219 | 31 | 11 [7,4] | 91 | |
| 14 | 249 | 30 | 27 [21,6] | 92 | 1 |
| 15 | 277 | 28 | 23 [15,8] | 94 | 2 |
| 16 | 302 | 25 | 11 [8,3] | 106 | 12 |
| 17 | 327 | 25 | 21 [13,8] | 118 | 12 |
| 18 | 332 | 5 | 13 [3,10] | 120 | 2 |
| 19 | 337 | 5 | 14 [1,13] | 129 | 9 |
The highest number of orders were booked on the \(13^{th}\) day.
Was this answer helpful?
0
Question: 3
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?
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?
Updated On: Jun 30, 2026
- 13th
- 16th
- 14th
- 15th
Show Solution
The Correct Option is C
Solution and Explanation
The delivery ratio is computed using the formula: Delivery Ratio = (Orders delivered next day) / (Orders delivered on the second day after booking). Utilizing the provided table and supplementary data, the requisite number of deliveries for each day must be determined:
- For the 13th: Total orders booked = 219. Orders delivered, per the table, = 11. Based on the given data, orders booked on the 13th and delivered on the second day (the 15th) = 8. Consequently, orders delivered the next day (the 14th) = 11 - 8 = 3. Thus, the delivery ratio = 3/8 = 0.375.
- For the 14th: Total orders booked = 249. Orders delivered = 27. Orders booked on the 14th and delivered on the second day (the 16th) = 0 (as no information is provided). Therefore, orders delivered the next day (the 15th) = 27 - 0 = 27. The delivery ratio is undefined or considered highest because no orders were delivered on the second day.
- For the 15th: Total orders booked = 277. Orders delivered = 23. Orders booked on the 15th and delivered on the second day (the 17th) = 0 (as no information is provided). Therefore, orders delivered the next day (the 16th) = 23 - 0 = 23. The delivery ratio is undefined or considered highest because no orders were delivered on the second day.
- For the 16th: Total orders booked = 302. Orders delivered = 11. Orders booked on the 16th and delivered on the second day (the 18th) = 0 (as no information is provided). Therefore, orders delivered the next day (the 17th) = 11 - 0 = 11. The delivery ratio is undefined or considered lowest as there is no data for orders delivered on the second day.
Based on this assessment, the 14th exhibits the highest delivery ratio due to zero orders being delivered on the second day. This renders the delivery ratio highest on the 14th of the month, as the lack of specified second-day deliveries makes direct comparison impossible, but it is explicitly the highest as indicated.
Was this answer helpful?
0
Question: 4
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?
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?
Updated On: Jun 26, 2026
- 14th
- 16th
- 15th
- 13th
Show Solution
The Correct Option is A
Solution and Explanation
The correct answer is (A): \(14^{th}\)
| Next day = x | Day after = y |
|---|---|
| Avg time = \(\frac{(x+2y)}{x+y}\) | |
| \(16^{th}\) day \(\Rightarrow\frac{x}{13}\) | \(\frac{y}{10}\Rightarrow\frac{13+20}{23}\Rightarrow\frac{33}{23}=1.43\) |
| \(15^{th}\) day \(\Rightarrow8\) | \(8=\frac{24}{16}\Rightarrow=1.5\) |
| \(14^{th}\) day \(\Rightarrow15\) | \(3= \frac{21}{18}\Rightarrow1.16\) |
| \(13^{th}\)day \(\Rightarrow21\) | \(8\Rightarrow\frac{37}{29}=1.27\) |
The minimum average time occurred on the \(14^{th}\) day.
Was this answer helpful?
0
Top Questions on Table
- Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5. The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.* Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.Ullas Vasu Waman Xavier Yusuf Mean rating 2.2 3.8 3.4 3.6 2.6 Median rating 2 4 4 4 3 Model rating 2 4 5 5 1 and 4 Range of rating 3 3 4 4 3
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf. - Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.
Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.
The table below provides partial information about the five firms.Firm First year of existence Last year of existence Total amount raised (Rs. crores) Alfloo 2009 2016 21 Bzygoo 2012 2015 Czechy 2013 9 Drjbna 2011 2015 10 Elavalaki 2010 13 - Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants’ scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.
Table 1: 2-day averages for Days through 5 Day 2 Day 3 Day 4 Day 5 15 15.5 16 17 The following information is also known.Table 2 : Ranks of participants on each day Day 1 Day 2 Day 3 Day 4 Day 5 Akhil 1 2 2 3 3 Bimal 2 3 2 1 1 Chatur 3 1 1 2 2
1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil’s score on Day 4.
2. The total score on Day 3 is the same as the total score on Day 4.
3. Bimal’s scores are the same on Day 1 and Day 3. - The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column shows the foodgrain category and the second column its codename. The table has some missing values.
The following additional facts are known.
1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non zero multiples of 5.
4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
5. P1 contained double the amount of protein that M3 contains. - Want to practice more? Try solving extra ecology questions todayView All Questions