Logical reasoning based Data Interpretation Test 2

This test consisting of 27 question and each question if of 3 marks and for every wrong answer 1 marks will be deduced.

Instructions for questions 1 to 4: In a class of 50 students, a game of logic is to be played. The students were given a basket with many different colored balls numbered from 0 to 9 (as 0-red, 1-pink, 2-green, 3-yellow, 4-blue, 5-white, 6-black, 7-grey, 8-brown and 9-orange). Now students need to select a ball with a minimum possible number such that the square of his roll number when multiplied with the ball number would result with the unit’s digit of his roll number. Assume that all the students are roll numbered from 1 to 50 and there is sufficient number of balls for each type.

1. How many students picked green ball?

   1. 0

   2. 1

   3. 5

   4. 10

   5. None of the above

2. What is the ratio of the number of students picking red and yellow balls?

   1. 1:1

   2. 1:2

   3. 2:1

   4. 1:3

   5. data incomplete

3. If the condition of minimum number is changed to any number but minimum then which ball will not be picked at all?

   1. Blue

   2. Green

   3. Pink

   4. Yellow

   5. None of these

4. If all the girls happened to pick pink color then what is the ratio of boys and girls in the class?

   1. 1:4

   2. 3:7

   3. 7:3

   4. 4:1

   5. 2:3

Instructions for questions 5 to 8: In a society of hostel of 190 students, all the students do at least one of these: smoking, drinking and doping. Some additional information regarding the hostel is as follows:

• Number of students smoking is 20 more than the number of the students who drink.

• Number of students who either drink or dope or both is 148.

• Number of students who either smoke & drink, drink & dope and those who dope & smoke are in AP, but necessarily in that order. And moreover they have a common difference of 2. Moreover, number of students who smoke and drink is minimum

• Number of students who only drink is equal to number of students who drink as well as dope but not smoke

5. If 60 students dope then how many of them are involved in smoking?

   1. 42

   2. 58

   3. 60

   4. 76

   5. Can not be determined

6. What can be the maximum number of students, who do dope?

   1. 98

   2. 102

   3. 112

   4. 118

   5. Can not be determined

7. If none of the students can dope alone then how many of them are involved in all of the activities?

   1. 48

   2. 52

   3. 74

   4. Either 52 or 74

   5. Either 48 or 52 or 74

8. Which of the following information is required to enable us to find the exact number of all the activities?

   1. 112 students dope

   2. 70 students dope but not smoke

   3. 24 students are involved in all three

   4. Either of the above 3

   5. None of these

Instructions for questions 12 to 16: In a one-day cricket tournament, where in first round is round robin league where in all the teams play against each other exactly once. And top two teams will reach the finals. And all the matches are typical 50 over matches.

Net run rate is defined as the difference of the two team’s scores divided by total over to be played per team. For example, India wins first match by 33 runs and lose next match by 49 runs then their net run rate will be (+33-49)/100=(-0.16).

Now the following table gives the net run rate of a tournament at different point in times as recorded, but some of the run rates are missing because of technical error.

	After 1st match	After 2nd match	After 3rd match
India	+0.8		+0.6
Pakistan		-0.4
Bangladesh	+1	+0.25	+0.066
Sri Lanka		-0.5

Following additional information is also known

• No match ended in a tie or draw

• All teams played their respective 50 over and in all the games, team playing first won their respective matches

• At the end of the tournament, if there are more than one team with same number of wins then team with higher run rate will get a better rank

12. What was the result of second match played by India?

    1. Lost by 25 runs

    2. Won by 25 runs

    3. Lost by 38 runs

    4. Won by 38 runs

    5. Can not be found

13. Against which country, Bangladesh played their first game?

    1. India

    2. Pakistan

    3. Sri Lanka

    4. Either Pakistan or Sri Lanka

    5. Can not be found

14. How many matches ended with a win of more than 50 runs

    1. 1

    2. 2

    3. 0

    4. 3

    5. None of these

15. If the team which ranked second in the round robin matches won the final, then which team won the tournament

    1. India

    2. Pakistan

    3. Bangladesh

    4. Srilanka

    5. Pakistan or Srilanka

16. Against which country, Pakistan played their last game?

    1. India

    2. Bangladesh

    3. Sri Lanka

    4. Either India or Bangladesh

    5. Either Bangladesh or Sri Lanka

Instructions for questions 17 to 20: Four friends Ramu, Kallu, Billu and Lallu are very fond of beer and collect beer bottles. They have collected beer bottles of Kingfisher (A), Heaward (B), Toofan (C), Knock out (D), Heineken (E), Carlsberg (F) and Budweiser (G)

Following table gives a ratio of different number of bottles of each type with all of them. Go through the table and then answer the questions that follow:

	Ramu	Kallu	Billu	Lallu
A:B:C	1:2:3	2:3:4	3:4:5	1:2:4
C:D:E	3:4:5	4:5:6	5:6:7	4:5:7
E:F:G	5:6:7	6:7:8	7:8:9	7:8:10

17. What can be the minimum number of bottles with them if Ramu has highest number of bottles and Billu has minimum number of bottles?

    1. 210

    2. 220

    3. 250

    4. 270

    5. None of the above

18. What can be the maximum number of bottles with them if none of them has more than 1000 bottles?

    1. 3900

    2. 3925

    3. 3950

    4. 3975

    5. 4000

19. If all of them have collectively less than 1000 bottles then what can be the maximum number of bottles with them?

    1. 892

    2. 900

    3. 999

    4. Can have more than one answer

    5. None of the above

20. What can be the maximum number of bottles with Billu if he has fewer bottles than Ramu?

    1. 170

    2. 142

    3. 150

    4. 340

    5. None of the above

Instructions for questions2 1 to 24: Ramu is very fond of whiskey and rum cocktail. Therefore, as a rule, he never drinks either of them alone rather he always drinks both of them, one after the other or mixed. Once he went to Bewafa Bar to drink his daily quota. Available drinks at Bewafa Bar are

	Type of drink	Content	Price
1	Mixed drink	1 peg of Whiskey+ 2 peg of rum	230
2	Pure drink	3 peg of whiskey	210
3	Pure drink	4 Peg of rum	240
4	Mixed drink	2 peg of Whiskey + 3 peg of rum	250

Now, Ramu was deciding what to drink and how to order his drinks in order to minimize his budget.

21. Ramu has decided to go for only pure drinks and also to consume 15 pegs. So, what will be his budget for the day?

    1. 930

    2. 1050

    3. 960

    4. 1000

    5. None of the above

22. If he has decided to consume only 25 pegs and will consume only mixed drinks. Then what can be his minimum expenditure for the day?

    1. 1840

    2. 1590

    3. 1920

    4. 1440

    5. None of These

23. If Ramu has decided to consume 15 peg of whiskey and 25 peg of rum, then what can be his minimum possible expenditure?

    1. 1590

    2. 2120

    3. 2620

    4. 2400

    5. None of these

24. If Ramu need to consume at least 16 peg of rum, then what can be his minimum expenditure?

    1. 1180

    2. 960

    3. 840

    4. 1250

    5. 1590

Instructions for questions 25 to 30: IIM A has decided to host an inter B-School sports competition. Now IIM A is deciding on teams to be invited. Apart of IIM A, which will obviously participate in the competition, there are total of 10 external teams which are being discussed to be called. These teams are IIM B, IIM C, IIM L, IIM I, IIM K, IIM S, XLRI, FMS, SP Jain, IIFT.

• Only one of IIM K, XLRI and FMS is to be called because last time, when all these teams came for the same competition then there were fights between these colleges and IIM A does not want these things to repeat this time.

• Only one of IIM L and IIM S should be invited as there are certain conflicts between the two managements. Another option is not to call either of the two.

• If IIM B is to be invited then IIM C must be called as well, as other wise none of the two will come for the competition

• FMS, SP Jain and IIFT also share some good rapport among themselves and thus all of the three should be invited together or neither of the three should be invited

• IIM C and IIM I can not be called together as they do not share a good rapport.

• IIM C and SP Jain does not want to compete with each other as both of them have their ego issues and they have created many problems in other events that have happened this year

Number of teams to be invited is not fixed and is tentative, but the competition should be conducted peacefully. Now answer the following questions based on the information given.

25. If IIM B is to be invited for sure then what can be the number of teams to be invited?

    1. 6

    2. 3

    3. 4

    4. 7

    5. 5

26. If IIM I is invited then in how many ways, participating teams can be selected?

    1. 3

    2. 4

    3. 5

    4. 6

    5. 7

27. What can be the largest number of participating teams for the competition?

    1. 4

    2. 5

    3. 6

    4. 7

    5. 8

28. Which of the following can be a participating team if a total of 5 teams are invited?

    1. IIM B

    2. IIMC

    3. IIM L

    4. IIM K

    5. XLRI

29. Which of the following can not be a participating team if a total of 3 teams are invited?

    1. IIMC

    2. IIM L

    3. IIM K

    4. IIM I

    5. IIM S

30. If at least 6 teams are to be invited then what can be the minimum number of teams to be invited?

    1. 6

    2. 7

    3. 8

    4. 9

    5. Not possible to invite more than 5 teams