Logical Reasoning previous years questions (CAT) - Set 0008


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    Previous years`s CAT questions: Logical Reasoning

    Post your solutions as reply to respective questions below.


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    Question 1

    Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by the three top scorers from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

    1) How many players among those listed definitely scored less than Yuvraj in the tournament?

    a. 0                    b. 1                    c. 2                    d. More than 2        

    2) Which of the players had the best M-index from the tournament?

    a. Rahul            b. Saurav           c. Virender         d. Yuvraj        

    3) For how many Indian players is it possible to calculate the exact M-index?

    a. 0                    b. 1                    c. 2                     d. More than 2        

    4) Among the players mentioned, who can have the lowest R-index from the tournament?

    a. Only Kaif, Rahul or Yuvraj
    b. Only Kaif or Rahul

    c. Only Kaif or Yuvraj
    d. Only Kaif             (CAT 2004)


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    Question 2

    Twenty one participants from four continents (Africa, Americas, Australasia, and Europe) attended a United Nations conference. Each participant was an expert in one of four fields, labour, health, population studies, and refugee relocation. The following five facts about the participants are given.

    • The number of labour experts in the camp was exactly half the number of experts in each of the three other categories
    • Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.
    • None of the continents sent more than three experts in any category.
    • If there had been one less Australasian expert, then the Americas would have had twice as many experts as each of the other continents.
    • Mike and Alfanso are leading experts of population studies who attended the conference. They are from Australasia. 

    1) Alex, an American expert in refugee relocation, was the first keynote speaker in the conference. What can be inferred about the number of American experts in refugee relocation in the conference, excluding Alex?

    A. At least one
    B. At most two

    a. Only A and not B
    b. Only B and not A

    c. Both A and B
    d. Neither A nor B                  

    2) Which of the following numbers cannot be determined from the information given?

    a. Number of labour experts from the Americas
    b. Number of health experts from Europe.

    c. Number of health experts from Australasia
    d. Number of experts in refugee relocation from Africa               

    3) Which of the following combinations is NOT possible?

    a. 2 experts in population studies from the Americas and 2 health experts from Africa attended the conference.
    b. 2 experts in population studies from the Americas and 1 health expert from Africa attended the conference.

    c. 3 experts in refugee relocation from the Americas and I health expert from Africa attended the conference.
    d. Africa and America each had 1 expert in population studies attending the conference. 

    4) If Ramos is the lone American expert in population studies, which of the following is NOT true about the numbers of experts in the conference from the four continents?

    a. There is one expert in health from Africa.
    b. There is one expert in refugee relocation from Africa.

    c. There are two experts in health from the Americas.
    d. There are three experts in refugee relocation from the Americas. (CAT 2004)


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    Question 3

    The year was 2006. All six teams in Pool A of World Cup hockey play each other exactly once. Each win earns a team three points, a draw earns one point and a loss earns zero points. The two teams with the highest points qualify for the semifinals. In case of a tie, the team with the highest goal difference (Goals For – Goals Against) qualifies. In the opening match, Spain lost to Germany. After the second round (after each team played two matches), the pool table looked as shown below.   


    In the third round, Spain played Pakistan, Argentina played Germany, and New Zealand played South Africa. All the third round matches were drawn. The following are some results from the fourth and fifth round matches

    (a) Spain won both the fourth and fifth round matches.

    (b) Both Argentina and Germany won their fifth round matches by 3 goals to 0.

    (c) Pakistan won both the fourth and fifth round matches by 1 goal to 0.

    1) Which one of the following statements is true about matches played in the first two rounds?

    a. Germany beat New Zealand by 1 goal to 0.
    b. Spain beat New Zealand by 4 goals to 0.
    c. Spain beat South Africa by 2 goals to 0.
    d. Germany beat South Africa by 2 goals to 1.             

    2) Which one of the following statements is true about matches played in the first two rounds?

    a. Pakistan beat South Africa by 2 goals to 1
    b. Argentina beat Pakistan by I goal to 0.

    c. Germany beat Pakistan by 2 goals to 1
    d. Germany beat Spain by 2 goals to 1.         

    3) Which team finished at the top of the pool after five rounds of matches?

    a. Argentina
    b. Germany

    c. Spain
    d. Cannot be determined from the data.               

    4) If Pakistan qualified as one of the two teams from Pool A, which was the other team that qualified?

    a. Argentina
    b. Germany

    c. Spain
    d. Cannot be determined from the data.                  (CAT 2004)


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    Question 4

    The table below reports the gender, designation and age-group of the employees in an organization. It also provides information on their commitment to projects coming up in the months of January (Jan), February (Feb), March (Mar) and April (Apr), as well as their interest in attending workshops on: Business Opportunities (B ), Communication Skills (C), & E-Governance (E).    

    For each workshop, exactly four employees are to be sent, of which at least two should be Females and at least one should be Young. No employee can be sent to a workshop in which he or she is not interested in. An employee cannot attend the workshop on

    Communication Skills, if he or she is committed to internal projects in the month of January;
    Business Opportunities, if he or she is committed to internal projects in the month of February;

    E-governance, if he or she is committed to internal projects in the month of March.

    1) Assuming that Parul and Hari are attending the workshop on Communication Skills (C), then which of the following employees can possibly attend the C workshop?

    (1) Rahul and Yamini
    (2) Dinesh and Lavanya
    (3) Anshul and Yamini
    (4) Fatima and Zeena             

    2) How many Executives (Exe) cannot attend more than one workshop?

    (1) 2                (2) 3                 (3) 15               (4) 16              

    3) Which set of employees cannot attend any of the workshops?

    (1) Anshul, Charu, Eashwaran and Lavanya
    (2) Anshul, Bushkant, Gayatri and Urvashi

    (3) Charu, Urvashi, Bushkant and Mandeep
    (4) Anshul, Gayatri, Eashwaran and Mandeep       (CAT 2005)          


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    Question 5

    In the table below is the listing of players, seeded from highest (#1) to lowest (#32), who are due to play in an Association of Tennis Players (ATP) tournament for women. This tournament has four knockout rounds before the final, i.e., first round, second round, quarterfinals, and semi-finals. In the first round, the highest seeded player plays the lowest seeded player (seed # 32) which is designated match No. 1 of first round; the 2nd seeded player plays the 31st seeded player which is designated match No. 2 of the first round, and so on. Thus, for instance, match No. 16 of first round is to be played between 16th seeded player and the 17th seeded player. In the second round, the winner of match No. 1 of-first round plays the winner of match No. 16 of first round and is designated match No. I of second round. Similarly, the winner of match No, 2 of first round plays the winner of match No. 15 of first round, and is designated match No. 2 of second round. Thus, for instance, match No. 8 of the second round is to be played between the winner of match No. 8 of first round and the winner of match No. 9 of first round. The same pattern is followed for later rounds as well.  


    1) If there are no upsets (a lower seeded player beating a higher seeded player) in the first round, and only match Nos. 6, 7, and 8 of the second round result in upsets, then who would meet Lindsay Davenport in quarter finals, in case Davenport reaches quarter finals?

    (1) Justine Henin
    (2) Nadia Petrova

    (3) Patty Schnyder
    (4) Venus Williams         

    2) If Elena Dementieva and Serena Williams lose in the second round, while Justine Henin and Nadia Petrova make it to the semifinals, then who would play Maria Sharapova in the quarterfinals, in the event Sharapova reaches quarterfinals?

    (1) Dinara Safina
    (2) Justine Henin
    (3) Nadia Petrova
    (4) Patty Schnyder         

    3) If, in the first round, all even numbered matches (and none of the odd numbered ones) result in upsets, and there are no upsets in the second round, then who could be the lowest seeded player facing Maria Sharapova in semi-finals?

    (1) Anastasia Myskina
    (2) Flavia Pennetta
    (3) Nadia Petrova
    (4) Svetlana Kuznetsova             

    4) If the top eight seeds make it to the quarterfinals, then who, amongst the players listed below, would definitely not play against Maria Sharapova in the final, in case Sharapova reaches the final?

    (1) Amelie Mauresmo
    (2) Elena Dementieva
    (3) Kim Clijsters
    (4) Lindsay Davenport           (CAT 2005)


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