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CAT 2025 Lesson : DILR: May '25 to Jun '25 - Live Solving - 18 Jun 2025
Read the following and answer the questions that follow
Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’.
Additionally here are some statements from the candidates:
Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.
1) What best can be said about the room to which Divya was allotted?
(1) Definitely Room 101
(2) Definitely Room 103
(3) Definitely Room 102
(4) Either Room 101 or Room 102
2) Who else was in Room 102 when Ganeshan entered?
(1) Chitra
(2) Akil
(3) Divya
(4) No one
3) When did Erina reach the venue?
(1) 7:10 am
(2) 7:15 am
(3) 7:45 am
(4) 7:25 am
4) If Ganeshan entered the venue before Divya, when did Balaram enter the venue?
(1) 7:15 am
(2) 7:45 am
(3) 7:25 am
(4) 7:10 am
Read the following and answer the questions that follow
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
5) If Damodaran does not get a bonus, what is the maximum possible value of his final rating?
(1) 3.4
(2) 3.6
(3) 3.8
(4) 3.2
6) If Eman gets a bonus, what is the minimum possible value of his final rating?
(1) 2.8
(2) 3.2
(3) 3.0
(4) 3.4
7) If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?
(1) 1600
(2) 1700
(3) 1750
(4) 1740
8) If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?
(1) 1960
(2) 1950
(3) 1900
(4) 2050
Read the following and answer the questions that follow
In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.
In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.
The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.
The following additional facts are known:
1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.
9) What is the percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A?
Answer:
10) How many candidates who contested in constituency B lost their security deposit?
Answer:
11) What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?
(1) 1,40,006
(2) less than 2,00,010
(3) between 1,40,005 and 1,40,010
(4) 1,40,010
12) What was the number of valid votes polled in constituency D?
(1) 1,25,000
(2) 1,75,000
(3) 62,500
(4) 1,50,000
13) The winning margin of a constituency is defined as the difference of votes polled by the winner and that of the first runner up. Which of the following CANNOT be the list of constituencies, in increasing order of winning margin?
(1) B, C, D, A
(2) B, D, C, A
(3) D, B, C, A
(4) D, C, B, A
14) For all the four constituencies taken together, what was the approximate number of votes polled by all the candidates who lost their security deposit expressed as a percentage of the total valid votes from these four constituencies?
(1) 38.25%
(2) 23.91%
(3) 32.00%
(4) 23.54%
Additionally here are some statements from the candidates:
Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.
1) What best can be said about the room to which Divya was allotted?
(1) Definitely Room 101
(2) Definitely Room 103
(3) Definitely Room 102
(4) Either Room 101 or Room 102
2) Who else was in Room 102 when Ganeshan entered?
(1) Chitra
(2) Akil
(3) Divya
(4) No one
3) When did Erina reach the venue?
(1) 7:10 am
(2) 7:15 am
(3) 7:45 am
(4) 7:25 am
4) If Ganeshan entered the venue before Divya, when did Balaram enter the venue?
(1) 7:15 am
(2) 7:45 am
(3) 7:25 am
(4) 7:10 am
Read the following and answer the questions that follow
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
5) If Damodaran does not get a bonus, what is the maximum possible value of his final rating?
(1) 3.4
(2) 3.6
(3) 3.8
(4) 3.2
6) If Eman gets a bonus, what is the minimum possible value of his final rating?
(1) 2.8
(2) 3.2
(3) 3.0
(4) 3.4
7) If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?
(1) 1600
(2) 1700
(3) 1750
(4) 1740
8) If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?
(1) 1960
(2) 1950
(3) 1900
(4) 2050
Read the following and answer the questions that follow
In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.
In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.
The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.
The following additional facts are known:
1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.
9) What is the percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A?
Answer:
10) How many candidates who contested in constituency B lost their security deposit?
Answer:
11) What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?
(1) 1,40,006
(2) less than 2,00,010
(3) between 1,40,005 and 1,40,010
(4) 1,40,010
12) What was the number of valid votes polled in constituency D?
(1) 1,25,000
(2) 1,75,000
(3) 62,500
(4) 1,50,000
13) The winning margin of a constituency is defined as the difference of votes polled by the winner and that of the first runner up. Which of the following CANNOT be the list of constituencies, in increasing order of winning margin?
(1) B, C, D, A
(2) B, D, C, A
(3) D, B, C, A
(4) D, C, B, A
14) For all the four constituencies taken together, what was the approximate number of votes polled by all the candidates who lost their security deposit expressed as a percentage of the total valid votes from these four constituencies?
(1) 38.25%
(2) 23.91%
(3) 32.00%
(4) 23.54%
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