Summary

This document contains a DILR past paper from OCR for the year 2023. The paper includes a series of logical reasoning questions on topics like restaurant management and team sizes. There are multiple choice questions and some are also a combination of question types.

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DILR 01 - 2023 Directions for questions 1 to 5: Answer the questions on the basis of the information given below. In an Italian restaurant there are three employees...

DILR 01 - 2023 Directions for questions 1 to 5: Answer the questions on the basis of the information given below. In an Italian restaurant there are three employees namely P, Q and R, and whoever is free works on the order available at that time. There are 2 ordering counters each with a person, other than P, Q and R, only to take orders and to serve the completed orders. The restaurant serves 3 dishes - Pizza, Garlic Bread and Tacho - which are first prepared and then baked. An employee can work on a single quantity of any dish at a time, and also when a dish is in oven for baking, the employee is free and can take another dish to work on. The following table provides information regarding the preparation time and the baking time for the 3 dishes: Pizza | Garlic Bread| Tacho Preparation Time 4min 3 min 5 min Bake Time 8 min 5 min 10 min Total Time 12 min 8 min 15 min Customer | Counter Order Time CA A Pizza + Garlic Bread 10:00 C-2 A Garlic Bread + Tacho 10:03 c-3 A 3-Pizzas 10:07 C4 B 2-Tachos 9:56 C5 B 2-Pizzas 10:01 C4 B 1-Pizza + 1-Tacho + 1-Garlic Bread | 10:05 * The table shown above provides the records of the orders placed by the six customers C-1, C-2, C-3, C- 4, C-5 and C-6 on a particular day. + If the restaurant requires two dishes to be prepared simultaneously, then any employee start working on the one that requires greater preparation time. + If an employee has orders available from two different customers, then he will prefer working on the order that was placed first. + The number of ovens is not limited. Q1. The order of C-3 at counter - A will be served completely at what time? 1) 10:25 2) 10:24 3) 10:19 4) 10:20 Q2. If C-6 at counter B says, "serve my order items one by one and as soon as they are ready", then what will be the time gap (in minutes) between the first dish and the last dish served to him? Q3. For maximum how many minutes between 10:00 and 10:30 any of the employees was free? 1) 1 2) 13 3) 10 4) 14 Q4. How many customers were served completely by 10 : 20? Q5. If C3 and C5 are friends and they decide to take away their orders together, then who will wait for whom and for how much time? 1) C3 will wait for C5, 9 min 2) C5 will wait for C3, 8 min 3) C3 will wait for C5, 10 min 4) C5 will wait for C3, 9 min Direction for questions 6 to 10: Answer the questions on the basis of the information given below. Seven people: Afjal, Bashir, Chaman, Deewana, Ehsan, Faizal and Ghayal are leaders of marketing teams in companies namely - Phyron, Quatar, Romboxy, Sentinel, Tesla, Urbanico and Vertigo - in any order. Each of these leaders has a certain number of team members in their team. The number of team members in any team must be a multiple of 5 and should be less than 50. No two leaders have equal number of team members. Further the following information is also known: Team of Urbanico company has i ber of bers. P YN DP Teams of Afzal and Bashir have number of members which are two consecutive multiples of 5 in any order. The same is also true for teams of Faizal and Ghayal. CHENOA Only three teams have number of members that is an even multiple of 5. Afzal, who is from Phyron, has 10 members in his team. Sum of number of members from Urbanico and Tesla is equal to twice the number of members from Quatar. Deewana has the lowest number of team members. For only three teams, the number of members are prime multiples of 5 and also these are consecutive prime multiples of 5. Sum of team members of Afzal and Bashir is equal to number of team members from Sentinel. Team of Ehsan, who is from Quatar, has number of members which is equal to the sum of members of Chaman’s team and the team from Romboxy. Q6. For how many team leaders we can exactly determine the company they work for and the number of members in their teams? Q7. If Ghayal has maximum team members, then what is the sum of members in Faizal, Quatar and Sentinel’s teams? Q8. 20 new members were to join such that they can be divided in any four teams in the ratio 1: 2: 3: 4, but teams that originally have number of team members as prime multiple of 5 cannot receive new members that are prime multiple of 2. What can be the maximum possible sum of team members now in Afzal, Bashir, Chaman and Ghayal's team?(Here team members need not be multiple of 5, and number of members in each team is still less than 50) 1) 111 2) 103 3) 109 4) 106 Q9. 20 new members were to join such that they can be divided in any four teams in the ratio 1: 2: 3: 4, but teams that originally have number of team members as prime multiple of 5 cannot receive new members that are prime multiple of 2. Also if each member of the team, having maximum number of team members, receives salary equal to number of members with the team having lowest number of members; similarly each member of team, having 2nd highest number of team members, receive salary equal to number of members with the team having second lowest number of members; and so on, then what could be the maximum amount spent on salary by any team? 1) 765 2) 1089 3) 612 4) 450 Q10. How many members are there in the team from company Romboxy? 1) 10 2) Cannot be determined 3) 15 4) 5 Directions for questions 11 to 15: Answer the questions on the basis of the information given below. Eight friends- Akbar, Birbal, Chanakya, Drona, Erawat, Arjun, Nakul and Sahdev - participated in a game consisting three rounds — I, Il and Ill. Each friend got a different rank in different rounds and no two friends got the same rank in any round. It is also given that: (i). The sum of ranks in the three rounds together was equal for Chanakya and Birbal. (ii). The rank of Sahdev in round II was higher than that in round | but lower than that in round Ill. (iii). In each round Birbal, Nakul and Arjun got three consecutive ranks from higher to lower, in that order. (iv). Akbar was ranked ‘st and last in round II and round Ill, in any order. (v). Erawat got rank 6 in round III and rank 4 in round I. Drona got rank 2 in round II and rank 1 in round I. Chanakya got rank 3 in round II. [Note: Rank 1 was the highest and rank 8 was the lowest among them] Q 11. Which of the following pair of friends must be on two consecutive positions in each round? 1) Arjun and Sahdev 2) Drona and Chanakya 3) Akbar and Sahdev 4) None of these Q12. The lowest rank which Sahdev could get in round III was 1) 4 2) 3 3) 5 46 Q 13. What was the difference between the highest and the lowest possible sum of the ranks obtained by Akbar in the three rounds? 1) 3 2) 2 3) 1 4) 0 Q 14. Which of the following statement(s) is/are true? |. The lowest rank which Erawat could get in any round was 6. Il. If Birbal was ranked 3"¢ in round Ill, then Sahdev was ranked 1° in that round. lll. If Akbar got 8* rank in round Il, then Arjun got rank 5 in round Ill. 1) Only Il 2) Only Ill 3) land Ill both 4) Either! or Il Q15. Select the statement that is definitely TRUE based on the information given. 1) The maximum difference between the sum of ranks in the three rounds of any two individuals is 7. 2) The sum of ranks of exactly four individuals is 12. 3) The sum of ranks of exactly one individual is 14. 4) The sum of ranks in the three rounds of exactly 3 individuals was found to be equal. Direction for questions 16 to 20: Answer the questions on the basis of the information given below. In a square matrix of dimension 5 x 5, alphabets are used to fill its rows and columns. Each alphabet represents the initials of the names of 25 individuals. The alphabets used in the matrix are : a, i, j, m,n, 0, r, tand u. m a n fe) j m a n a j a n m a n n a a r t i r i t u Rows are numbered from top to bottom and columns are numbered from left to right. Every initial in the above matrix is given a rank according to their dictionary order. Individuals with same initials are given same rank (e.g., ‘a’ is given rank 1, ‘i’ is given rank 2, ‘j’ is given rank 3, and so on). Also, rank ‘1’ is the highest and ‘9’ is the lowest. We say first individual can send friend request to the second individual on a social mobile application only if all the following three conditions are satisfied: (i) Individual first and individual second are in same row or same column. (ii) First Individual’s initial is ranked higher than the second individual's initial. (iii) If there is/are any other individual(s) between first and second individual in the row/column, such individual(s) must be at least three ranks lower than the first individual. Thus in the matrix above, consider the individual’s initial in first row and first column , i.e., ‘m’. He can receive friend request from two individuals: one individual being on his right with initial ‘a’ and other being the one below him with initial ‘a’. Q16. How many individual(s) in the matrix can receive exactly two friend requests? Q17. In which row/column there are maximum individuals who can receive friend requests from at least 3 individuals? 1) Fifth column 2) Third column 3) Fifth row 4) Both (2) and (3) Q18. How many individual(s) are (s), who can send friend request to both the individuals having initial ‘m’ in first column? Q19. Which of the following is false? 1) Each column has at least one individual who can receive at the most one friend request. 2) Each individual with initial ‘n’, can receive at least two friend request. 3) Maximum friend requests received by any individual can be 4. 4) Each column has at least two individuals who can receive equal number of friend requests. Q 20. What is the difference between the maximum and minimum number of total requests received by the individuals in any row or column? 1) 4 2) 6 3) 3 4)5

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