Cat 2009 Di Test 105

  • May 2020
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DI Test 105 Directions for Questions from 1 to 4: Answer the questions on the basis of the information given below. 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 (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.

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

j Argentina k l m n j Germany k l m n j Spain k l m n j New Zealand k l m n j Cannot be determined from the data. k l m n i Skip this question j k l m n

2. Which team finished at the top of the pool after five rounds of matches?

j Argentina k l m n j Germany k l m n j Spain k l m n j New Zealand k l m n j Cannot be determined from the data. k l m n i Skip this question j k l m n

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

j Pakistan beat South Africa by 2 goals to k l m n j Argentina beat Pakistan by 1 goal to 0. k l m n j Germany beat Pakistan by 2 goals to 1 k l m n j Germany beat Spain by 2 goals to 1. k l m n j None of these k l m n i Skip this question j k l m n

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

j Germany beat New Zealand by 1 goal to 0. k l m n j Spain beat New Zealand by 4 goals to 0. k l m n j Spain beat South Africa by 2 goals to 0. k l m n j Germany beat South Africa by 2 goals to 1 k l m n j None of these k l m n i Skip this question j k l m n Directions for Questions from 5 to 8: Answer the questions on the basis of the information given below. There are three stationery shops namely Shop I, Shop II and Shop III that sell five different types of articles namely Pencils, Erasers, Pens, Sharpeners and Diaries. On a particular day only five children namely Aamna, Arjun, Alice, Anisha and Ajay bought articles from these three mentioned shops.Also, Ajay did not buy a eraser from shop II. Table 1 provides information about the number of articles of each type bought from each of the three shops. Table 2 provides information about the number of articles bought by each child from each of the three shops. Table 3 rovides information about the number of articles of each type bought by each of the five children.

5. Additional Information (as in previous question) Which child amongst the mentioned children spent the maximum amount on the articles bought by him/her from these three mentioned shops?

j Aamna k l m n j Arjun k l m n j Alice k l m n j Anisha k l m n j Ajay k l m n i Skip this question j k l m n

6. Additional Information The following table provides information about the price (in Rupees) at which these mentioned articles are sold to the mentioned children by the respective shops.

Shop I Shop II Shop III

Pencils 5 4 3

Erasers 1 3 4

Pens 10 20 16

Sharpeners 2 1 4

Diaries 40 45 60

Find the total amount spent by Alice on the articles she bought from these three mentioned shops.

j Rs. 83 k l m n j Rs. 76 k l m n j Rs. 81 k l m n j Rs. 71 k l m n j Cannot be determined. k l m n

i Skip this question j k l m n

7. From which shop did Aamna bought the 2 pencils?

j oth from Shop I k l m n j Both from Shop III k l m n j 1 each from Shop I and II k l m n j 1 each from Shop I and III k l m n j Cannot be determined k l m n i Skip this question j k l m n

8. For how many children is it possible to exactly determine which article they bought from which shop?

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n Directions for Questions from 9 to 10: Answer the questions on the basis of the information given below. Production department of a multinational company houses seven typists where all of them are working on a project. The given diagrams describe their performance over the four days of the project, one for each day. In each diagram, the four squares reflect the percentage of total number of lines typed in that day by the top four typists of the day whereas the middle circle denotes the number of lines typed by the remaining typists in that day. No two typists type the same number of lines on a given day. A typist may not type even a single line on a given day. The management also computed two parameters for each typist viz. Performance Variance (PV) and Sigma. PV of a typist is the positive difference between the sum of the maximum and minimum possible number of lines typed across 4 days and the sum of the number of lines typed on the remaining two days. The Sigma of a typist is the average of the two middle quantities, if the number of lines typed by him across 4 days are arranged in a nondecreasing order.

9. For whom of Sanajay, Salim and Ammar, the value of PV can come out to be 0?

j Salim k l m n j Sanjay k l m n j Ammar k l m n j Both (1) and (2) k l m n j (1), (2) and (3) k l m n

i Skip this question j k l m n

10. Given that the Sigma for all typists is an integer, for how many of mentioned typists it is not possible to calculate the exact value of Sigma?

j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n j 6 k l m n i Skip this question j k l m n

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