CAT 2022 Slot 2 DILR Question Paper(Available):Download Solutions With Answer Key

CAT Questions

• 1.

  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

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• 2.

  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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• 3.

  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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• 4.

  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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• 5.

  There are six spherical balls, B1, B2, B3, B4, B5, and B6, and four circular hoops H1, H2, H3, and H4.
  Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than the diameter of the hoop, the ball passes through the hoop and makes a ”ping”. Any ball having a diameter larger than that of the hoop gets stuck on that hoop and does not make a ping.
  The following additional information is known:
  1. B1 and B6 each made a ping on H4, but B5 did not.
  2. B4 made a ping on H3, but B1 did not.
  3. All balls, except B3, made pings on H1.
  4. None of the balls, except B2, made a ping on H2.

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• 6.

  Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside (not necessarily in the same order) and playing a game of ’Passing the Buck’.
  The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:
  • Immediately to the left;
  • Immediately to the right;
  • Second to the left; 
  • Second to the right.
  The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below provides some information about the pass types and the child receiving the Buck. Some information is missing and labelled as ’?’.v