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CAT 2025 Lesson : DILR: Mar '25 to Apr '25 - DILR Live Solving - 26 Mar 2025
Read the following and answer the questions that follow
A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.
1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items.
2. On both days, Lahur met the same number of households and sold the same number of items.
3. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
4. Tohri met 30 more households on the second day than on the first day.
5. Tohri’s success rate was twice that of Lahur’s on the first day, and it was 75% of Lahur’s on the second day.
1) What was the total number of households met by Tohri, Hokli and Lahur on the first day?
Answer:
2) How many TRICCEK items were sold by Tohri on the first day?
Answer:
3) How many households did Lahur meet on the second day?
(1) more than 35
(2) 20 or less
(3) between 21 and 29
(4) between 30 and 35
4) How many households did Tohri meet on the first day?
(1) between 11 and 20
(2) 10 or less
(3) between 21 and 40
(4) more than 40
5) Which of the following statements is FALSE?
(1) Tohri had a higher success rate on the first day compared to the second day.
(2) Among the three, Lahur had the lowest success rate on the first day.
(3) Among the three, Tohri had the highest success rate on the first day.
(4) Among the three, Tohri had the highest success rate on the second day.
Read the following and answer the questions that following
All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.
1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
5. No CS student failed in AI, while no non-CS student got an A grade in AI.
6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
8. 30 students failed in ML.
6) How many students took AI?
(1) 210
(2) 60
(3) 90
(4) 270
7) How many CS students failed in ML?
Answer:
8) How many non-CS students got A grade in ML?
Answer:
9) How many students got A grade in AI?
(1) 84
(2) 63
(3) 42
(4) 99
10) How many non-CS students got B grade in ML?
(1) 165
(2) 75
(3) 90
(4) 25
Read the following and answer the Questions that follow
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either ₹1 or ₹2 in that round. For example, if they chose to bet ₹2, then the player winning the game got ₹2 from the one losing the game.
At the beginning of the tournament, the players had ₹10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had ₹10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹13 (at the end of Round 5), and the minimum amount he had at the end of any round was ₹8 (at the end of Round 2). At the end of all other rounds, he must have had either ₹9, ₹11, or ₹12.
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.
11) What BEST can be said about the amount of money that Ritesh had with him at the end of Round 8?
(1) Exactly ₹5
(2) ₹4 or ₹5
(3) ₹5 or ₹6
(4) Exactly ₹6
12) What BEST can be said about the amount of money that Pulak had with him at the end of Round 6?
(1) Exactly ₹12
(2) Exactly ₹11
(3) ₹12 or ₹13
(4) ₹11 or ₹12
13) How much money (in ₹) did Ritesh have at the end of Round 4?
Answer:
14) How many games were played with a bet of ₹2?
Answer:
15) Which of the following pairings was made in Round 5?
(1) Pulak and Suresh
(2) Pulak and Ritesh
(3) Qasim and Suresh
(4) Pulak and Qasim
A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.
1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items.
2. On both days, Lahur met the same number of households and sold the same number of items.
3. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
4. Tohri met 30 more households on the second day than on the first day.
5. Tohri’s success rate was twice that of Lahur’s on the first day, and it was 75% of Lahur’s on the second day.
1) What was the total number of households met by Tohri, Hokli and Lahur on the first day?
Answer:
2) How many TRICCEK items were sold by Tohri on the first day?
Answer:
3) How many households did Lahur meet on the second day?
(1) more than 35
(2) 20 or less
(3) between 21 and 29
(4) between 30 and 35
4) How many households did Tohri meet on the first day?
(1) between 11 and 20
(2) 10 or less
(3) between 21 and 40
(4) more than 40
5) Which of the following statements is FALSE?
(1) Tohri had a higher success rate on the first day compared to the second day.
(2) Among the three, Lahur had the lowest success rate on the first day.
(3) Among the three, Tohri had the highest success rate on the first day.
(4) Among the three, Tohri had the highest success rate on the second day.
Read the following and answer the questions that following
All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.
1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
5. No CS student failed in AI, while no non-CS student got an A grade in AI.
6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
8. 30 students failed in ML.
6) How many students took AI?
(1) 210
(2) 60
(3) 90
(4) 270
7) How many CS students failed in ML?
Answer:
8) How many non-CS students got A grade in ML?
Answer:
9) How many students got A grade in AI?
(1) 84
(2) 63
(3) 42
(4) 99
10) How many non-CS students got B grade in ML?
(1) 165
(2) 75
(3) 90
(4) 25
Read the following and answer the Questions that follow
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either ₹1 or ₹2 in that round. For example, if they chose to bet ₹2, then the player winning the game got ₹2 from the one losing the game.
At the beginning of the tournament, the players had ₹10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had ₹10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹13 (at the end of Round 5), and the minimum amount he had at the end of any round was ₹8 (at the end of Round 2). At the end of all other rounds, he must have had either ₹9, ₹11, or ₹12.
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.
11) What BEST can be said about the amount of money that Ritesh had with him at the end of Round 8?
(1) Exactly ₹5
(2) ₹4 or ₹5
(3) ₹5 or ₹6
(4) Exactly ₹6
12) What BEST can be said about the amount of money that Pulak had with him at the end of Round 6?
(1) Exactly ₹12
(2) Exactly ₹11
(3) ₹12 or ₹13
(4) ₹11 or ₹12
13) How much money (in ₹) did Ritesh have at the end of Round 4?
Answer:
14) How many games were played with a bet of ₹2?
Answer:
15) Which of the following pairings was made in Round 5?
(1) Pulak and Suresh
(2) Pulak and Ritesh
(3) Qasim and Suresh
(4) Pulak and Qasim
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