**[1] What is the total number of matches played in the tournament?**

**[2] The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is:**

**[3] What is the highest number of wins for a team in the first stage in spite of which it would be eliminated at the end of first stage?**

**[4] What is the number of rounds in the second stage of the tournament?’**

**[5] Which of the following statements is true?**

**(CAT 2008)**

**Directions for Questions 1 to 4: **

Answer the following questions based on the information given below:

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.

**[1] The team(s) with the most wins in the event is (are): **

(P) A

(Q) A & C

(R) F

(S) E

(T) B & E

**[2] The two teams that defeated the leader of Stage-I are: **

(P) F & D

(Q) E & F

(R) B & D

(S) E & D

(T) F & D

**[3] The only team(s) that won both the matches in Stage-II is (are): **

(P) B

(Q) E & F

(R) A, E & F

(S) B, E & F

(T) B & F

**[4] The teams that won exactly two matches in the event are: **

(P) A, D & F

(Q) D & E

(R) E & F

(S) D, E & F

(T) D & F

**(CAT 2008)**

**Directions for Questions 1 to 3: **

Answer the following questions based on the statements given below:

(i) There are three houses on each side of the road.

(ii) These six houses are labeled as P, Q, R, S, T and U.

(iii) The houses are of different colours, namely, Red, Blue, Green, Orange, Yellow and White.

(iv) The houses are of different heights.

(v) T, the tallest house, is exactly opposite to the Red coloured house.

(vi) The shortest house is exactly opposite to the Green coloured house.

(vii) U, the Orange coloured house, is located between P and S.

(viii) R, the Yellow coloured house, is exactly opposite to P.

(ix) Q, the Green coloured house, is exactly opposite to U.

(x) P, the White coloured house, is taller than R, but shorter than S and Q.

**[1] What is the colour of the tallest house? **

(A) Red

(B) Blue

(C) Green

(D) Yellow

(E) none of these

**[2] What is the colour of the house diagonally opposite to the Yellow coloured house? **

(A) White

(B) Blue

(C) Green

(D) Red

(E) none of these

**[3] Which is the second tallest house? **

(A) P

(B) S

(C) Q

(D) R

(E) cannot be determined

**(CAT 2008)**

**Directions for Questions 1 to 5: **

Answer the following questions based on the information given below:

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 sale value 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.

**[1] On a “boom” day the price of XYZ Ltd. keeps rising throughout the day and peaks at the close of the day. Which trader got the minimum return on that day? **

(A) Bikram

(B) Chetan

(C) Abdul

(D) Abdul or Chetan

(E) cannot be determined

**[2] On a day of fluctuating market prices, the share price of XYZ Ltd. ends with a gain, i.e., it is higher at the close of the day compared to the opening value. Which trader got the maximum return on that day? **

(A) Bikram

(B) Chetan

(C) Abdul

(D) Bikram or Chetan

(E) cannot be determined

**[3] Which one of the following statements is always true? **

(A) Abdul will not be the one with the minimum return

(B) Return for Chetan will be higher than that of Bikram

(C) Return for Bikram will be higher than that of Chetan

(D) Return for Chetan cannot be higher than that of Abdul

(E) none of the above

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.

**[4] 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

(E) none of the above

**[5] Share price was at its highest at **

(A) 10 am

(B) 11 am

(C) 12 noon

(D) 1 pm

(E) cannot be determined

**(CAT 2008)**

**Directions for Questions 1 to 3: **

Answer the following Questions based on the information given below.

There are 100 employees in an organization across five departments. The following table gives the departement-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances.

There are limited numbers of employees considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower average age to a department of higher average age, he/she will get an additional allowance of 10% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.

Questions below are independent of each other.

**[1] There was a mutual transfer of an employee between Marketing and Finance departments and transfer of one employee from Marketing to HR. As a result, the average age of Finance department increased by one year and that of marketing department remained the same. What is the new average age of HR department? **

(A) 30

(B) 35

(C) 40

(D) 45

(E) cannot be determined

**[2] What is the approximate percentage change in the average gross pay of the HR department due to transfer of a 40-yr old person with basic pay of Rs. 8000 from the Marketing department? **

(A) 9%

(B) 11%

(C) 13%

(D) 15%

(E) 17%

**[3] If two employees (each with a basic pay of Rs. 6000) are transferred from Maintenance department to HR department and one person (with a basic pay of Rs. 8000) was transferred from Marketing department to HR department, what will be the percentage change in average basic pay of HR department? **

(A) 10.5%

(B) 12.5%

(C) 15%

(D) 30%

(E)40%