CAT 2018 DILR Slot 2 Question Paper(Available):Download Solutions with Answer Key

CAT Questions

• 1.

  At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. & nbsp;
  The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.
  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu (Novice manager):
  – Bunty received a rating of 1 in Quarter 2. & nbsp;
  – Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

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• 2.

  A round table has seven chairs around it. The chairs are numbered 1 through 7 in a clockwise direction. Four friends, Aslam (A), Bashir (B), Chhavi (C), and Davies (D), sit on four of the chairs. In the starting position, Aslam and Chhavi are sitting next to each other, while for Bashir as well as Davies, there are empty chairs on either side of the chairs they are sitting on.
  The friends take turns moving either clockwise or counterclockwise from their chair. The friend who has to move in a turn occupies the first empty chair in whichever direction they choose to move. Aslam moves first (Turn 1), followed by Bashir, Chhavi, and Davies (Turns 2, 3, and 4, respectively). Then Aslam moves again followed by Bashir, and Chhavi (Turns 5, 6, and 7, respectively).
  The following information is known: 1. The four friends occupy adjacent chairs only at the end of Turn 2 and Turn 6. 2. Davies occupies Chair 2 after Turn 1 and Chair 4 after Turn 5, and Chhavi occupies Chair 7 after Turn 2.

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• 3.

  Anu, Bijay, Chetan, Deepak, Eshan, and Faruq are six friends. Each of them uses a mobile number from exactly one of the two mobile operators- Xitel and Yocel. During the last month, the six friends made several calls to each other. Each call was made by one of these six friends to another. The table below summarizes the number of minutes of calls that each of the six made to (outgoing minutes to) and received from (incoming minutes from) these friends, grouped by the operators. Some of the entries are missing.  
  Operator Xitel Operator Yocel
  

  It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
  • Bijay to Eshan,
  • Chetan to Anu and Chetan to Deepak,
  • Deepak to Bijay and Deepak to Faruq,
  • Eshan to Chetan and Eshan to Deepak.

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• 4.

  Three countries — Pumpland (P), Xiland (X), and Cheeseland (C) — trade among themselves and with the other countries in Rest of World (ROW). All trade volumes are given in IC (international currency). The following terminology is used:
  • Trade balance = Exports– Imports
  • Total trade = Exports + Imports
  • Normalized trade balance = Trade balance / Total trade, expressed in percentage terms
  The following information is known:
  • The normalized trade balances of P, X, and C are 0%, 10%, and–20%, respectively.
  • 40%of exports of X are to P. 22% of imports of P are from X.
  • 90%of exports of C are to P; 4% are to ROW.
  • 12%of exports of ROW are to X, 40% are to P.
  • The export volumes of P, in IC, to X and C are 600 and 1200, respectively. P is the only country that exports to C.

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• 5.

  Five countries engage in trade with each other. Each country levies import tariffs on the other countries. The import tariff levied by Country X on Country Y is calculated by multiplying the corresponding tariff percentage with the total imports of Country X from Country Y. The radar chart below depicts different import tariff percentages charged by each of the five countries on the others. For example, US (the blue line in the chart) charges 20%, 40%, 30%, and 30% import tariff percentages on imports from France, India, Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each county on other countries. For example, US charged import tariff of 3 billion USD on UK.
  
  Assume that imports from one country to an other equals the exports from the latter to the former. The trade surplus of Country X with Country Y is defined as follows. Trade surplus = Exports from Country X to Country Y Imports to Country X from Country Y. A negative trade surplus is called trade deficit.

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• 6.

  A train travels from Station A to Station E, passing through stations B, C, and D, in that order. The train has a seating capacity of 200. A ticket may be booked from any station to any other station ahead on the route, but not to any earlier station. A ticket from one station to another reserves one seat on every intermediate segment of the route. For example, a ticket from B to E reserves a seat in the intermediate segments B– C, C– D, and D–E. The occupancy factor for a segment is the total number of seats reserved in the segment as a percentage of the seating capacity. The total number of seats reserved for any segment cannot exceed 200. The following information is known. 1. Segment C– D had an occupancy factor of 952. Exactly 40 tickets were booked from B to C and 30 tickets were booked from B to E. 3. Among the seats reserved on segment D– E, exactly four-sevenths were from stations before C. 4. The number of tickets booked from A to C was equal to that booked from A to E, and it was higher than that from B to E. 5. No tickets were booked from A to B, from B to D and from D to E. 6. The number of tickets booked for any segment was a multiple of 10.