Instructions

A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. TheÂ sales are categorized by its three departments - âApparelâ, âElectronicsâ, and âHome DĂ©corâ. AnÂ Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts forÂ 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 inÂ 2018.

2. The sales amounts in the Apparel departments were the same for Mumbai and BengaluruÂ in 2018. This sales amount matched the sales amount in the Apparel department for Delhi inÂ 2019.

3. The sales amounts in the Home DĂ©cor departments were the same for Mumbai and KolkataÂ in 2018.

4. The sum of the sales amounts of four Electronics departments increased by the sameÂ 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 DĂ©cor departments increased by Rs 70 CroresÂ from 2018 to 2019.

6. The sales amounts in the Home DĂ©cor departments of Delhi and Bengaluru each increasedÂ by Rs 20 Crores from 2018 to 2019.

7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased byÂ the same amount in 2019 from 2018. The sales amounts in the Apparel departments ofÂ 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 2019Â followed an Arithmetic Progression.

Question 27

In Home DĂ©cor departments of which cities were the sales amounts the highest in 2018Â and 2019, respectively?

Question 28

What was the increase in sales amount, in Crore Rupees, in the Apparel department ofÂ Mumbai from 2018 to 2019?

Question 29

Among all the 12 departments (i.e., the 3 departments in each of the 4 cities), what wasÂ the maximum percentage increase in sales amount from 2018 to 2019?

Question 30

What was the total sales amount, in Crore Rupees, in 2019 for the chain ofÂ departmental stores?

Instructions

In an election several candidates contested for a constituency. In any constituency, the winningÂ candidate was the one who polled the highest number of votes, the first runner up was the one whoÂ polled the second highest number of votes, the second runner up was the one who polled the thirdÂ highest number of votes, and so on. There were no ties (in terms of number of votes polled by theÂ candidates) in any of the constituencies in this election.Â In an electoral system, a security deposit is the sum of money that a candidate is required to pay to theÂ election commission before he or she is permitted to contest. Only the defeated candidates (i.e., oneÂ who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in theÂ constituency, lose their security deposits.

The following table provides some incomplete information about votes polled in four constituencies: A, B,Â 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 anyÂ 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 candidatesÂ who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

Question 31

What is the percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A?

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Question 32

How many candidates who contested in constituency B lost their security deposit?

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Question 33

What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?

Question 35

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?

Question 36

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?

Instructions

Twenty five coloured beads are to be arranged in a grid comprising of five rows and fiveÂ columns. Each cell in the grid must contain exactly one bead. Each bead is coloured eitherÂ Red, Blue or Green.Â While arranging the beads along any of the five rows or along any of the five columns, theÂ 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 orÂ column.

3. There is at least one Blue and at least one Green bead between any two Red beadsÂ along the same row or column.

Every unique, complete arrangement of twenty five beads is called a configuration.

Question 37

The total number of possible configurations using beads of only two colours is:

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Question 38

What is the maximum possible number of Red beads thatÂ can appear in any configuration?

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Question 39

What is the minimum number of Blue beads in anyÂ configuration?

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Question 40

Two Red beads have been placed in âsecond row, third columnâ and âthird row,Â second columnâ. How many more Red beads can be placed so as to maximise theÂ number of Red beads used in the configuration?

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Instructions

The Humanities department of a college is planning to organize eight seminars, one for eachÂ of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics,Â three from Sociology and one from Anthropology department. Each student is guided by oneÂ among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student isÂ guided by each of Q and S. Each student is guided by a guide belonging to their department.Â Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00Â am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can beÂ scheduled in a slot, provided the guide is free. Only three rooms are available and hence atÂ the most three seminars can be scheduled in a slot. Students who are guided by the sameÂ 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. Aâs 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. TheÂ 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.

Question 44

If D is scheduled in a slot later than Q's, then which of the following two statement(s)Â is(are) true?

(i) E and H are guided by T.

(ii) G is guided by Q.

Question 45

If E and Q are both scheduled in the same slot, then which of the following statementsÂ BEST describes the relationship between D, H, and T?

Question 46

If D is scheduled in the slot immediately before Qâs, then which of the following is NOTÂ necessarily true?

Instructions

A shopping mall has a large basement parking lot with parking slots painted in it along aÂ single row. These slots are quite narrow; a compact car can fit in a single slot but an SUVÂ requires two slots. When a car arrives, the parking attendant guides the car to the firstÂ 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. ForÂ example, the first car to arrive is given a number 1, the second a number 2, and so on. ThisÂ numbering does not indicate whether a car is a compact or an SUV. The configuration of aÂ parking lot is a sequence of the car numbers in each slot. Each single vacant slot isÂ represented by letter V.

For instance, suppose cars numbered 1 through 5 arrive and park, where cars 1, 3 and 5 areÂ compact cars and 2 and 4 are SUVs. At this point, the parking lot would be described by theÂ sequence 1, 2, 3, 4, 5. If cars 2 and 5 now vacate their slots, the parking lot would now beÂ described as 1, V, V, 3, 4. If a compact car (numbered 6) arrives subsequently followed by anÂ 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.

Question 47

Initially cars numbered 1, 2, 3, and 4 arrive among which 1 and 4 are SUVs while 2 andÂ 3 are compact cars. Car 1 then leaves, followed by the arrivals of car 5 (a compact car)Â and car 6 (an SUV). Car 4 then leaves. Then car 7 (an SUV) and car 8 (a compact car)Â arrive. At this moment, which among the following numbered car is parked next to carÂ 3?

Question 48

Suppose eight cars have arrived, of which two have left. Also suppose that car 4 is aÂ compact and car 7 is an SUV. Which of the following is a POSSIBLE currentÂ configuration of the parking lot?

Question 49

Suppose the sequence at some point of time is 4, 5, 6, V, 3. Which of the following isÂ NOT necessarily true?

Question 50

Suppose that car 4 is not the first car to leave and that the sequence at a time betweenÂ the arrival of the car 7 and car 8 is V, 7, 3, 6, 5. Then which of the following statementsÂ MUST be false?

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