CAT 2010 DILR Slot 1 Question Paper(Available) :Download Solutions with Answer Key

CAT Questions

• 1.

  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. 

  ---

• 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.

  ---

• 3.

  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.

  ---

• 4.

  In a survey of 250 people about three activities (Reading, Sports, Travel), the following data are given:
  130 like Reading,
  110 like Sports,
  120 like Travel,
  55 like both Reading and Sports,
  50 like both Sports and Travel,
  45 like both Reading and Travel,
  25 like all three.
  How many like only Travel?
  

  • 35
    
  • 40
    
  • 45
    
  • 50
    
  View Solution

  ---

• 5.

  Alia, Badal, Clive, Dilshan, and Ehsaan played a game in which each asks a unique question to all the others and they respond by tapping their feet, either once or twice or thrice. One tap means “Yes”, two taps mean “No”, and three taps mean “Maybe”. A total of 40 taps were heard across the five questions. Each question received at least one “Yes”, one “No”, and one “Maybe.” The following information is known. 1. Alia tapped a total of 6 times and received 9 taps to her question. She responded “Yes” to the questions asked by both Clive and Dilshan. 2. Dilshan and Ehsaan tapped a total of 11 and 9 times respectively. Dilshan responded “No” to Badal. 3. Badal, Dilshan, and Ehsaan received equal number of taps to their respective questions. 4. No one responded “Yes” more than twice. 5. No one’s answer to Alia’s question matched the answer that Alia gave to that person’s question. This was also true for Ehsaan. 6. Clive tapped more times in total than Badal.

  ---

• 6.

  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.