CAT 2020 Question Paper DILR Slot 2
A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. TheĀ sales are categorized by its three departments - āApparelā, āElectronicsā, and āHome DĆ©corā. AnĀ Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts forĀ an internal report. He has collated partial information and prepared the following table.
The following additional information is known.
1. The sales amounts in the Apparel departments were the same for Delhi and Kolkata inĀ 2018.
2. The sales amounts in the Apparel departments were the same for Mumbai and BengaluruĀ in 2018. This sales amount matched the sales amount in the Apparel department for Delhi inĀ 2019.
3. The sales amounts in the Home DĆ©cor departments were the same for Mumbai and KolkataĀ in 2018.
4. The sum of the sales amounts of four Electronics departments increased by the sameĀ amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
5. The total sales amounts of the four Home DĆ©cor departments increased by Rs 70 CroresĀ from 2018 to 2019.
6. The sales amounts in the Home DĆ©cor departments of Delhi and Bengaluru each increasedĀ by Rs 20 Crores from 2018 to 2019.
7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased byĀ the same amount in 2019 from 2018. The sales amounts in the Apparel departments ofĀ Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
8. The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019Ā followed an Arithmetic Progression.
In Home DĆ©cor departments of which cities were the sales amounts the highest in 2018Ā and 2019, respectively?
What was the increase in sales amount, in Crore Rupees, in the Apparel department ofĀ Mumbai from 2018 to 2019?
Among all the 12 departments (i.e., the 3 departments in each of the 4 cities), what wasĀ the maximum percentage increase in sales amount from 2018 to 2019?
What was the total sales amount, in Crore Rupees, in 2019 for the chain ofĀ departmental stores?
In an election several candidates contested for a constituency. In any constituency, the winningĀ candidate was the one who polled the highest number of votes, the first runner up was the one whoĀ polled the second highest number of votes, the second runner up was the one who polled the thirdĀ highest number of votes, and so on. There were no ties (in terms of number of votes polled by theĀ candidates) in any of the constituencies in this election.Ā In an electoral system, a security deposit is the sum of money that a candidate is required to pay to theĀ election commission before he or she is permitted to contest. Only the defeated candidates (i.e., oneĀ who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in theĀ constituency, lose their security deposits.
The following table provides some incomplete information about votes polled in four constituencies: A, B,Ā 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 anyĀ 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 candidatesĀ who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.
What is the percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A?
789
456
123
0.-
Clear All
How many candidates who contested in constituency B lost their security deposit?
789
456
123
0.-
Clear All
What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?
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?
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?
Twenty five coloured beads are to be arranged in a grid comprising of five rows and fiveĀ columns. Each cell in the grid must contain exactly one bead. Each bead is coloured eitherĀ Red, Blue or Green.Ā While arranging the beads along any of the five rows or along any of the five columns, theĀ rules given below are to be followed:
1. Two adjacent beads along the same row or column are always of different colours.
2. There is at least one Green bead between any two Blue beads along the same row orĀ column.
3. There is at least one Blue and at least one Green bead between any two Red beadsĀ along the same row or column.
Every unique, complete arrangement of twenty five beads is called a configuration.
The total number of possible configurations using beads of only two colours is:
789
456
123
0.-
Clear All
What is the maximum possible number of Red beads thatĀ can appear in any configuration?
789
456
123
0.-
Clear All
What is the minimum number of Blue beads in anyĀ configuration?
789
456
123
0.-
Clear All
Two Red beads have been placed in āsecond row, third columnā and āthird row,Ā second columnā. How many more Red beads can be placed so as to maximise theĀ number of Red beads used in the configuration?
789
456
123
0.-
Clear All
The Humanities department of a college is planning to organize eight seminars, one for eachĀ of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics,Ā three from Sociology and one from Anthropology department. Each student is guided by oneĀ among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student isĀ guided by each of Q and S. Each student is guided by a guide belonging to their department.Ā Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00Ā am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can beĀ scheduled in a slot, provided the guide is free. Only three rooms are available and hence atĀ the most three seminars can be scheduled in a slot. Students who are guided by the sameĀ guide must be scheduled in consecutive slots.
The following additional facts are also known.
1. Seminars by students from Economics are scheduled in each of the four slots.
2. Aās is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. TheĀ seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.
If D is scheduled in a slot later than Q's, then which of the following two statement(s)Ā is(are) true?
(i) E and H are guided by T.
(ii) G is guided by Q.
If E and Q are both scheduled in the same slot, then which of the following statementsĀ BEST describes the relationship between D, H, and T?
If D is scheduled in the slot immediately before Qās, then which of the following is NOTĀ necessarily true?
A shopping mall has a large basement parking lot with parking slots painted in it along aĀ single row. These slots are quite narrow; a compact car can fit in a single slot but an SUVĀ requires two slots. When a car arrives, the parking attendant guides the car to the firstĀ available slot from the beginning of the row into which the car can fit.
For our purpose, cars are numbered according to the order in which they arrive at the lot. ForĀ example, the first car to arrive is given a number 1, the second a number 2, and so on. ThisĀ numbering does not indicate whether a car is a compact or an SUV. The configuration of aĀ parking lot is a sequence of the car numbers in each slot. Each single vacant slot isĀ represented by letter V.
For instance, suppose cars numbered 1 through 5 arrive and park, where cars 1, 3 and 5 areĀ compact cars and 2 and 4 are SUVs. At this point, the parking lot would be described by theĀ sequence 1, 2, 3, 4, 5. If cars 2 and 5 now vacate their slots, the parking lot would now beĀ described as 1, V, V, 3, 4. If a compact car (numbered 6) arrives subsequently followed by anĀ SUV (numbered 7), the parking lot would be described by the sequence 1, 6, V, 3, 4, 7.
Answer the following questions INDEPENDENTLY of each other.
Initially cars numbered 1, 2, 3, and 4 arrive among which 1 and 4 are SUVs while 2 andĀ 3 are compact cars. Car 1 then leaves, followed by the arrivals of car 5 (a compact car)Ā and car 6 (an SUV). Car 4 then leaves. Then car 7 (an SUV) and car 8 (a compact car)Ā arrive. At this moment, which among the following numbered car is parked next to carĀ 3?
Suppose eight cars have arrived, of which two have left. Also suppose that car 4 is aĀ compact and car 7 is an SUV. Which of the following is a POSSIBLE currentĀ configuration of the parking lot?
Suppose the sequence at some point of time is 4, 5, 6, V, 3. Which of the following isĀ NOT necessarily true?
Suppose that car 4 is not the first car to leave and that the sequence at a time betweenĀ the arrival of the car 7 and car 8 is V, 7, 3, 6, 5. Then which of the following statementsĀ MUST be false?
