CAT 2011 DILR Slot 2 Question Paper(Available):Download Solution with Answer Key

CAT Questions

• 1.

  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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• 2.

  Aurevia, Brelosia, Cyrenia and Zerathania are four countries with their currencies being Aurels, Brins, Crowns, and Zentars, respectively. The currencies have different exchange values. Crown’s currency exchange rate with Zentars = 0.5, i.e., 1 Crown is worth 0.5 Zentars.
  Three travelers, Jano, Kira, and Lian set out from Zerathania visiting exactly two of the countries. Each country is visited by exactly two travelers. Each traveler has a unique Flight Cost, which represents the total cost of airfare in traveling to both the countries and back to Zerathania. The Flight Cost of Jano was 4000 Zentars, while that of the other two travelers were 5000 and 6000 Zentars, not necessarily in that order. When visiting a country, a traveler spent either 1000, 2000 or 3000 in the country’s local currency. Each traveler had different spends (in the country’s local currency) in the two countries he/she visited. Across all the visits, there were exactly two spends of 1000 and exactly one spend of 3000 (in the country’s local currency).
  The total “Travel Cost” for a traveler is the sum of his/her Flight Cost and the money spent in the countries visited.
  The citizens of the four countries with knowledge of these travels made a few observations, with spends measured in their respective local currencies:
  • Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500 and 8000, respectively.
  • Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000, respectively. Kira’s Travel Cost was 4000.
  • Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.

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• 3.

  Six employees A, B, C, D, E, F are to be assigned to three projects (P1, P2, P3), each with exactly two employees, under the following constraints:
  A and D cannot be together;
  B must be with C or F;
  E must be in a project different from C;
  F cannot be in P1.
  How many valid assignments are possible?
  

  • 8
    
  • 10
    
  • 12
    
  • 14
    
  View Solution

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• 4.

  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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• 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.

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• 6.

  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