# DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 1

• Set 1

The six members of the Justice League were ranked by a group of friends – Leonard, Sheldon, Raj and Howard. From every friend, each character received a distinct integral rating ranging from 1 to 6, depending on how much the character was liked by that friend, i.e. the character he liked most, was given a rating of 6 and the character he liked least was given a rating of 1 and so on. The six characters were named Batman, Superman, Wonder Woman, Aquaman, Cyborg and Flash.

Further information is given below:
I. Batman received a different rating from each friend. This holds true for the other five characters as well.
II. For each of Batman, Wonder Woman and Cyborg the ratings received from the four friends were in A.P.
III. The sums of four ratings received by Batman, Wonder Woman and Cyborg were also in A.P., with a common difference of 4, not necessarily in that order.
IV. The sums of four ratings received by Superman, Aquaman and Flash were also in A.P., with a common difference of 1, not necessarily in that order.
V. The ratings received by Batman from Sheldon, Wonder Woman from Howard and Cyborg from Raj were the same.
VI. Wonder Woman received a higher rating from Raj as compared to what she received from Sheldon.

The attached table provides partial information about the ratings received by the six characters from the four friends.

Q1. What was the maximum possible sum of the four ratings received by any of the six characters?
(a) 14
(b) 16
(c) 17
(d) 18

Q2. What was the sum of the four ratings received by Flash?
(a) 12
(b) 18
(c) 14
(d) None of these

Q3. What was the rating received by Wonder Woman from Howard?
(a) 2
(b) 3
(c) 4
(d) None of these

Q4. What was the rating received by Superman from Sheldon?
(a) 1
(b) 3
(c) 6
(d) Cannot be determined

Video Solution :

1. d
2. c
3. b
4. d

Set 2

The following table provides partial details about the number of Twenty20s (T20) and One Day Internationals (ODIs) played by 6 players of the Indian cricket team against five nations viz. Australia, South Africa, England, Pakistan and the West Indies in the year 2017. Assume that the Indian cricket team played only against these nations in the year 2017, and also, they played no form of matches other than the T20s and the ODIs. India played 25% of its total matches against Australia, 20% of its total matches against South Africa, 10% of its total matches against Pakistan, 15% of its total matches against England, and 30% of its total matches against West Indies.

Q1. The total number of matches played by the Indian cricket team in 2017 could not be less than

Q2. Out of the matches played by the Indian cricket team against the West Indies in 2017, the number of matches not played by Jasprit could at least be

Q3. If Hardik played all the “ODIs” and Virat played all the “T20s” that the Indian cricket team played against England in 2017, then what could be the minimum number of T20s played by the Indian cricket team against England in the year 2017?

Q4. What is the minimum number of matches played by Shikhar throughout the season if he played all T20 matches against England, Pakistan and West Indies?

Video Solution

1. 240
2. 21
3. 22
4. 136

Set 3

Kaushal, Pushkar and Vyoma are students who appeared for the IIFT entrance test in November 2017 (yeah, time-turner it is!). Each of the three mentioned students solved all the six different sections namely QA, DI, LR, VA, RC and GK. The following table provides information about the marks obtained by each student in every section as a percentage of the aggregate number of marks obtained by that student in all the six sections.

The marks lost by each of the three students in each of the six sections are due to five different reasons namely: Did not know the concept, Did not see the question, Made a silly mistake, Haven’t completed the syllabus and Lack of confidence. The following table provides information about the marks lost by each student due to each of the mentioned reasons as a percentage of the aggregate marks lost by that student in QA. This holds true for all the given six sections.

The marks lost by Kaushal, Pushkar and Vyoma in each section as a percentage of the marks obtained by each one of them in that section is 40%, 25% and 20% respectively.

Q1. If the total marks obtained by Vyoma, Pushkar and Kaushal in all the sections are in the ratio 1: 2: 5, then the marks obtained by Pushkar in DI as a percentage of aggregate marks obtained by Vyoma in DI and Kaushal in GK is
(1) 20%
(2) 16%
(3) 15%
(4) 18%

Q2. If the marks lost by Kaushal, Vyoma and Pushkar in VA is the same, then the marks lost by Pushkar in LR because of silly mistakes as the percentage of the total marks obtained by Kaushal in all the sections is
(1) 2%
(2) 0.6%
(3) 1%
(4) 1.5%

Additional Information for questions 3 and 4:

The marks obtained by Kaushal in QA are not fewer than the marks obtained by Pushkar in DI and marks obtained by Pushkar in VA are not fewer than the marks obtained by Vyoma in RC.

Q3. If the marks obtained by Vyoma in GK is 144, then at least how many marks are obtained by Kaushal in LR?
(1) 25.25
(2) 40.25
(3) 48.75
(4) 37.5

Q4. If the marks lost by Pushkar in VA because he did not see the question is 45, then the marks lost by Vyoma in QA due to reason lack of confidence cannot be more than
(1) 50
(2) 32
(3) 36
(4) 40

Video Solution

48

1

44

1

2

1

1

1