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55.
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 semi-finals. In case of a tie, the team with the highest goal difference (Goal 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.
POOL A :Teams Games played Won Drawn Lost Goal for Goal against Points Germany 2 2 0 0 3 1 6 Argentina 2 2 0 0 2 0 6 Spain 2 1 0 1 5 2 3 Pakistan 2 1 0 1 2 1 3 New Zealand 2 0 0 2 1 6 0 South Africa 2 0 0 2 1 4 0
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?
(1) Pakistan beat South Africa by 2 goals to 1.
(2) Argentina beat Pakistan by 1 goal to 0.
(3) Germany beat Pakistan by 2 goals to 1.
(4) Germany beat Spain by 2 goals to 1.[2] Which one of the following statements is true about matches played in the first two rounds?
(1) Germany beat New Zealand by 1 goal to 0.
(2) Spain beat New Zealand by 4 goals to 0.
(3) Spain beat South Africa by 2 goals to 0.
(4) Germany beat South Africa by 2 goals to 1.[3] If Pakistan qualified as one of the two teams from Pool A, which was the other team that qualified?
(1) Argentina
(2) Germany
(3) Spain
(4) Cannot be determined[4] Which team finished at the top of the pool after five rounds of matches?
(1) Argentina
(2) Germany
(3) Spain
(4) Cannot be determinedasked in CAT
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56.
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.
(a) The number of labour experts in the camp was exactly half the number of experts in each of the three other categories.
(b) Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.
(c) None of the continents sent more than three experts in any category.
(d) If there had been one less Australasian expert, then the Americas would have had twice as many experts as each of the other continents.
(e) Mike and Alfanso are leading experts of population studies who attended the conference. They are from Australasia.[1] Which of the following numbers cannot be determined from the information given?
(1) Number of labour experts from the Americas.
(2) Number of health experts from Europe.
(3) Number of health experts from Australasia.
(4) Number of experts in refugee relocation from Africa.[2] Which of the following combinations is NOT possible?
(1) 2 experts in population studies from the Americas and 2 health experts from Africa attended the conference.
(2) 2 experts in population studies from the Americas and 1 health expert from Africa attended the conference.
(3) 3 experts in refugee relocation from the Americas and 1 health expert from Africa attended the conference.
(4) Africa and America each had 1 expert in population studies attending the conference.[3] 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?
(1) There is one expert in health from Africa.
(2) There is one expert in refugee relocation from Africa.
(3) There are two experts in health from the Americas.
(4) There are three experts in refugee relocation from the Americas.[4] 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?
i. At least one
ii At most two
(1) Only i and not ii
(2) Only ii and not i
(3) Both i and ii
(4) Neither i nor iiasked in CAT
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57.
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] Which of the players had the best M-index from the tournament?
(1) Rahul
(2) Saurav
(3) Virender
(4) Yuvraj[2] Among the players mentioned, who can have the lowest R-index from the tournament?
(1) Only Kaif, Rahul or Yuvraj
(2) Only Kaif or Rahul
(3) Only Kaif or Yuvraj
(4) Only Kaif[3] For how many Indian players is it possible to calculate the exact M-index?
(1) 0
(2) 1
(3) 2
(4) More than 2[4] How many players among those listed definitely scored less than Yuvraj in the tournament?
(1) 0
(2) 1
(3) 2
(4) More than 2last reply by CpjJwWHV • 13 years ago • asked in CAT
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