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CAT-2008-Previous Years Paper

Question
11 out of 25
 

In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-I and two matches in Stage-II. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below.

Stage-I:

·        One team won all the three matches.

·        Two teams lost all the matches.

·        D lost to A but won against C and F.

·        E lost to B but won against C and F.

·        B lost at least one match.

·        F did not play against the top team of Stage-I.

Stage-II:

·        The leader of Stage-I lost the next two matches.

·        Of the two teams at the bottom after Stage-I, one team won both matches, while the other lost both matches.

·        One more team lost both matches in Stage-II.


The only team(s) that won matches in Stage-II is (are):



A B
B E and F
C A, E and F
D B and F

Stage-I:

Consider the information:

B lost at least one match. D and E lost one match each.

C and F have lost two matches each.

i.e., A is the top team of Stage-I and has won all the three matches in Stage-I.

Hence, A and F did not play against each other in Stage-I.

Also, B, D and E have won at least one match. Hence, C and F must have lost all the 3 matches in Stage-I.

Thus, the 9 matches played in Stage-I are:

Won-Lost

Won-Lost

Won-Lost

A-D

D-C

D-F

B-E

E-C

E-F

A-B

A-C

B-F

 

Stage-II:

The 6 matches played in Stage-II are as follows: A-E, A-F, B-C, B-D, D-E, C-F.

The leader of Stage-I, i.e., A lost both the matches.

Two teams at the bottom after Stage-I are C and F.

Since, F lost against A, F lost against C also.

And C won against B and F.

Now, the only other team that lost both the matches is D.

Won-Lost

Won-Lost

Won-Lost

E-A

F-C

F-A

B-C

E-D

B-D


Ans. D

CAT-2008-Previous Years Paper Flashcard List

25 flashcards
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Abdul, Bikram and Chetan are three professional traders who trade in shares of a company XYZ Ltd. Abdul follows the strategy of buying at the opening of the day at 10 am and selling the whole lot at the close of the day at 3 pm. Bikram follows the strategy of buying at hourly intervals: 10 am, 11 am, 12 noon, 1 pm and 2 pm, and selling the whole lot at the close of the day. Further, he buys an equal number of shares in each purchase. Chetan follows a similar pattern as Bikram but his strategy is somewhat different. Chetan’s total investment amount is divided equally among his purchases. The profit or loss made by each investor is the difference between the sales values at the close of the day less the investment in purchase. The “return” for each investor is defined as the ratio of the profit or loss to the investment amount expressed as a percentage. One day, two other traders, Dane and Emily joined Abdul, Bikram and Chetan for trading in the shares of XYZ Ltd. Dane followed a strategy of buying equal numbers of shares at 10 am, 11 am and 12 noon, and selling the same numbers at 1 pm,  2 pm and 3 pm. Emily, on the other hand, followed the strategy of buying shares using all her money at 10 am and selling all of them at 12 noon and again buying the shares for all the money at 1 pm and again selling all of them at the close of the day at 3 pm. At the close of the day the following was observed: (i) Abdul lost money in the transactions. (ii) Both Dane and Emily made profits. (iii) There was an increase in share price during the closing hour compared to the price at 2 pm. (iv) Share price at 12 noon was lower than the opening price. Share price was at its highest at A 10 amB 11 amC 12 noonD 1 pm
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Abdul, Bikram and Chetan are three professional traders who trade in shares of a company XYZ Ltd. Abdul follows the strategy of buying at the opening of the day at 10 am and selling the whole lot at the close of the day at 3 pm. Bikram follows the strategy of buying at hourly intervals: 10 am, 11 am, 12 noon, 1 pm and 2 pm, and selling the whole lot at the close of the day. Further, he buys an equal number of shares in each purchase. Chetan follows a similar pattern as Bikram but his strategy is somewhat different. Chetan’s total investment amount is divided equally among his purchases. The profit or loss made by each investor is the difference between the sales values at the close of the day less the investment in purchase. The “return” for each investor is defined as the ratio of the profit or loss to the investment amount expressed as a percentage. One day, two other traders, Dane and Emily joined Abdul, Bikram and Chetan for trading in the shares of XYZ Ltd. Dane followed a strategy of buying equal numbers of shares at 10 am, 11 am and 12 noon, and selling the same numbers at 1 pm,  2 pm and 3 pm. Emily, on the other hand, followed the strategy of buying shares using all her money at 10 am and selling all of them at 12 noon and again buying the shares for all the money at 1 pm and again selling all of them at the close of the day at 3 pm. At the close of the day the following was observed: (i) Abdul lost money in the transactions. (ii) Both Dane and Emily made profits. (iii) There was an increase in share price during the closing hour compared to the price at 2 pm. (iv) Share price at 12 noon was lower than the opening price. Which of the following is necessarily false? A Share price was at its lowest at 2 pm. B Share price was at its lowest at 11 am. C Share price at 1 pm was higher than the share price at 2 pm. D Share price at 1 pm was higher than the share price at 12 noon.
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