CAT Reasoning Previous Year Question Paper of 2006


CAT Sample Papers 2006 for Reasoning

1. In a cricket match, the „man of the match‟ award is given to the player scoring the highest number of runs.
In case of a tie, the player (out of those locked in the tie) who has taken the higher number of catches is
chosen. Even thereafter if there is a tie, the player (out of those locked in the tie) who has dropped fewer
catches is selected. Aakash, Biplab and Chirag who were contenders for the award dropped at least one
catch each. Biplab dropped 2 catches more than Aakash did, scored 50, and took 2 catches. Chirag got
two chances to catch and dropped both. Who was the „man of the match‟?
A. Chirag made 15 runs less than both Aakash and Biplab.
B. The catches dropped by Biplab are 1 more than the catches taken by Aakash.

2. Four friends, A, B, C and D got the top four ranks in a competitive examination, but A did not get the
first, B did not get the second, C did not get the third, and D did not get the fourth rank. Who secured
which rank?
A. Neither A nor D were among the first 2.
B. Neither B nor C was third or fourth.

3. The members of a local club contributed equally to pay Rs.600 towards a donation. How much did each
one pay?
A. If there had been five fewer members, each one would have paid an additional Rs.10.
B. There were at least 20 members in the club, and each one paid no more than Rs.30.

4. A family has only one kid. The father says “after „n‟ years, my age will be 4 times the age of my kid.”
The mother says “after „n‟ years, my age will be 3 times that of my kid.” What will be the combined ages
of the parents after „n‟ years?
A. The age difference between the parents is 10 years.
B. After „n‟ years, the kid is going to be twice as old as she is now.
DIRECTIONS: Answer the question on the basis of following information.

5. 70% of the employees in a multinational corporation have VCD players, 75 percent have microwave
ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of
employees has all four gadgets?
(1) 15%
(2) 5%
(3) 10%
(4) Cannot be determined

DIRECTIONS: Answer the questions on the basis of following information.
Four families decided to attend the marriage ceremony of one of their colleagues. One family has no
kids, while the others have at least one kid each. Each family with kids has at least one kid attending the
marriage. Given below is some information about the families, and who reached when to attend the
marriage.
The family with 2 kids came just before the family with no kids.
Shanthi who does not have any kids reached just before Sridevi’s family.
Sunil and his wife reached last with their only kid.
Anil is not the husband of Joya.
Anil and Raj are fathers.
Sridevi’s and Anita’s daughters go to the same school.
Joya came before Shanthi and met Anita when she reached the venue.
Raman stays the farthest from the venue.
Raj said his son could not come because of his exams.

6. Which woman arrived third?
(1) Shanthi
(2) Sridevi
(3) Anita (4) Joya
(3) Anil and Sridevi (4) Raj and Anita

7. Name the correct pair of husband and wife.
(1) Raj and Shanthi
(2) Sunil and Sridevi

8. Of the following pairs, whose daughters go to the same school?
(1)Anil and Raman
(2) Sunil and Raman
(3) Sunil and Anil
(4) Raj and Anil

9. Whose family is known to have more than one kid for certain?
(1) Raman‟s
(2) Raj‟s
(3) Anil‟s
(4) Sunil‟s

DIRECTIONS: Answer the questions on the basis of the following information.
Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The
investigative agency has arrested the mastermind and nine other people A, B, C, D, E, F, G, H and I in
this matter. Interrogating them, the following facts have been obtained regarding their operation.
Initially the mastermind obtains the correct answer-key. All the others create their answer-key from one
or two people who already possess the same. These people are called his/her “sources”. If the person has
two sources, then he/she compares the answer-keys obtained from both sources. If the key to a question
from both sources is identical, it is copied, otherwise it is left blank. If the person has only one source,
he/she copies the source’s answers into his/her copy. Finally, each person compulsorily replaces one of
the answers (not a blank one) with a wrong answer in his/her answer key.
The paper contained 200 questions; so the investigative agency has ruled out the possibility of two or
more of them introducing wrong answers to the same question. The investigative agency has a copy of
the correct answer key and has tabulated the following data. These data represent question numbers.

10. Which one among the following must have two sources?
(1) A
(2) B
(3) C
(4) D

11. How many people (excluding the mastermind) needed to make answer keys before C could make his
answer key?
(1) 2
(2) 3
(3) 4 (4) 5
(3) I (4) None of the nine.

12. Both G and H were sources to
(1) F
(2) B
(3) I
(4) None of the nine.

13. Which of the following statements is true?

(1)C introduced the wrong answer to question 27.
(2)E introduced the wrong answer to question 46.
(3)F introduced the wrong answer to question 14.
(4)H introduced the wrong answer to question 46.

14. Which of the following two groups of people has identical sources?
(I) A, D and G
(II) E and H
(1) Only (I)
(3) Neither (I) nor (II)
(2) Only (II)
(4) Both (I) and (II)

DIRECTIONS: Answer the questions on the basis of following information.

The plan above shows an office block for six officers, A, B, C, D, E and F. Both B and C occupy offices to
the right of corridor (as one enters the office block) and A occupies an office to the left of the corridor. E
and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of
C and D face each other. E does not have a corner office. F‟s office is further down the corridor than A‟s,
but on the same side.

15. If E sits in his office and faces the corridor, whose office is to his left?
(1)A
(2) B
(3) C (4) D
(3) D (4) E
(3) C only (4) B and C

16. Whose office faces A‟s office?
(1)B
(2) C
(3) D
(4) E

17. Who is/are F‟s neighbour(s)?
(1)A only
(2) A and D
(3) C only (4) B and C

18. D was heard telling someone to go further down the corridor to the last office on the right. To whose
room was he trying to direct that person?
(1)A
(2) B
(3) C
(4) F

DIRECTIONS: Answer the questions on the basis of the following information.
Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating
conversation. On being asked about their visit to the lounge last Friday we got the following responses.
JC:
JP:
SM:
SS:
DG:
PK:
VR:
I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP
and VR were present in the lounge. DG left with me.
When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot
remember who it was.
I went to the lounge for a short while, and met JC, SS and DG in the lounge on that day.
I left immediately after SM left.
I met JC, SS, SM, JP and VR during my first visit to the lounge. I went back to my office with
JC. When I went to the lounge the second time, JP and VR were there.
I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and
left. JP and DG were the only people in the lounge while I was there.
No comments.

19. Based on the responses, which of the two JP or DG, entered the lounge first?
(1) JP
(2) DG
(3) Both entered together
(4) Cannot be deduced

20. Who was sitting with JC when JP entered the lounge?
(1) SS
(2) SM
(3) DG
(4) PK

21. How many of the seven members did VR meet on Friday in the lounge?
(1) 2
(2) 3
(3) 4
(4) 5

22. Who were the last two faculty members to leave the lounge?
(1) JC and DG
(2) PK and DG
(3) JP and PK
(4) JP and DG

DIRECTIONS: Answer the questions on the basis of following information.
Shown below is a layout of major streets in a city.


Two days (Thursday and Friday) are left for campaigning before a major election, and the city
administration has received requests from five political parties for taking out their processions along the
following routes.
Congress:
A-C-D-E
BJP:
A-B-D-E
SP:
A-B-C-E
BSP:
B-C-E
CPM:
A-C-D
Street B-D cannot be used for a political procession on Thursday due to a religious procession. The
district administration has a policy of not allowing more than one procession to pass along the same
street on the same day. However, the administration must allow all parties to take out their procession
during these two days.

23. Congress procession can be allowed
(1) only on Thursday.
(3) on either day.
(2) only on Friday.
(4) only if the religious procession is cancelled.

24. Which of the following is not true?

1. Congress and SP can take out their processions on the same day.
2. The CPM procession cannot be allowed on Thursday.
3. The BJP procession can only take place on Friday.
4. Congress and BSP can take out their processions on the same day.

DIRECTIONS: Answer the questions on the basis of the following table.
Below is a table that lists countries region-wise. Each region-wise list is sorted, first by birth rate and
then alphabetically by the name of the country. We now wish to merge the region-wise list into one
consolidated list and provide overall rankings to each country based first on birth rate and then on
death rate. Thus, if some countries have the same birth rate, then the country with a lower death rate
will be ranked higher. Further, countries having identical birth and death rates will get the same rank.
For example, if two countries are tied for the third position, then both will be given rank 3, while the
next country (in the ordered list) will be ranked 5.
Rank Country


25. In the consolidated list, what would be the overall rank of the Philippines?
(1) 32
(2) 33
(3) 34
(4) 35

26. In the consolidated list, how many countries would rank below Spain and above Taiwan?
(1)9
(2) 8
(3) 7
(4) 6


27. In the consolidated list, which country ranks 37th?
(1) South Africa
(2) Brazil
(3) Turkey
(4) Venezuela

28. In the consolidated list, how many countries in Asia will rank lower than every country in South
America, but higher than at least one country in Africa?
(1) 8
(2) 7
(3) 6
(4) 5
DIRECTIONS: Answer the questions on the basis of the following charts.

(Note: Availability is defined as production less export.)


29. In which year during the period 1996-1999 was Chaidesh‟s export of tea, as a proportion of tea
produced, the highest?
(1) 1996
(2) 1997
(3) 1998
(4) 1999

30. In which of the following years was the population of Chaidesh the lowest?
(1) 1995
(2) 1996
(3) 1997
(4) 1999

31. The area under tea cultivation continuously decreased in all four years from 1996 to 1999, by 10%, 7%,
4% and 1% respectively. In which year was tea productivity (production per unit of area) the highest?
(1) 1999
(2) 1998
(3) 1997
(4) 1996

DIRECTIONS: Answer the questions on the basis of following charts.
The profitability of a company is defined as the ratio of its operating profit to its operating income, typically
expressed in percentage. The following two charts show the operating income as well as the profitability of six
companies in the Financial Years (F.Y.s) 2001-02 and 2002-03.

The operating profits of four of these companies are plotted against their respective operating income
figures for the F.Y. 2002-03, in the third chart given below.



32. What is the approximate average operating profit, in F.Y. 2001-2002, of the two companies excluded
from the third chart?
(1) –7.5 crore
(2) 3.5 crore
(3) 25 crore
(4) Cannot be determined

33. Which company recorded the highest operating profit in F.Y. 2002-03?
(1) A
(2) C
(3) E
(4) F

34. Which of the following statements is NOT true?
(1) The company with the third lowest profitability in F.Y. 2001-02 has the lowest operating income in
    F.Y. 2002-03.
(2) The company with the highest operating income in the two financial years combined has the lowest
    operating profit in F.Y. 2002-03.
(3) Companies with a higher operating income in F.Y. 2001-02 than in F.Y. 2002-03 have higher
    profitability in F.Y. 2002-03 than in F.Y. 2001-02.
(4) Companies with profitability between 10% and 20% in F.Y. 2001-02 also have operating incomes
    between 150 crore and 200 crore in F.Y. 2002-03.

35. The average operating profit in F.Y. 2002-03, of companies with profitability exceeding 10% in F.Y.
2002-03, is approximately
(1) 17.5 crore
(2) 25 crore
(3) 27.5 crore
(4) 32.5 crore

DIRECTIONS: Answer the questions on the basis of the data presented in the figure below.


36. Which of the following statements is correct?
(1) November rainfall exceeds 100 cm in each location.
(2) September rainfall exceeds 50 cm in each location.
(3) March rainfall is lower than September rainfall in each location.
(4) None of the above.

37. Locations 6 and 7 differ from all the rest because only in these two locations,
(1) April rainfall exceeds March rainfall.
(2) Peak rainfall occurs in April.
(3) November rainfall is lower than March rainfall.
(4) April rainfall is less than 20 cm.



38. The athletes from FRG and USA decided to run a 4 x 100 m relay race for their respective countries with
the country having three athletes borrowing the athlete from CZE. Assume that all the athletes ran their
stretch of the relay race at the same speed as in Decathlon event. How much more time did the FRG relay
team take as compared to the USA team?
(1) 0.18
(2) 0.28
(3) 0.78
(4) 0.00

39. What is the least that Daley Thompson must get in Score 2 that ensures him a bronze medal?
(1) 5309
(2) 5296
(3) 5271
(4) 5270

40. At least how many competitors (excluding Daley Thompson) must Michael Smith have out-jumped in
the long jump event?
(1)1
(2) 2
(3) 3
(4) 4

DIRECTIONS: Answer the questions on the basis of the following information.
The following is the Wholesale Price Index (WPI) of a select list of items with the base year of 1993-



41. Let us suppose that one bag of cement (50 kgs) consumes 100 kgs of limestones and 10 units of power.
The only other cost item in producing cement is in the form of wages. During 1993-94, limestone, power
and wages contribute, respectively, 20%, 25%, and 15% to the cement price per bag. The average
operating profit (% of price per cement bag) earned by a cement manufacturer during 2002-03 is closest to
(1) 40 %
(2) 39.5%
(3) 38.5 %
(4) 37.5 %

42. Steel manufacturing requires the use of iron ore, power and manpower. The cost of iron ore has followed
the All Item index. During 1993-94 power accounted for 30% of the selling price of steel, iron ore for
25%, and wages for 10% of the selling price of steel. Assuming the cost and price data for cement as
given in the previous question, the operating profit (% of selling price) of an average steel manufacture in
2002-03
(1)is more than that of a cement manufacturer
(2)is less than that of a cement manufacturer
(3)is the same as that of a cement manufacturer
(4)cannot be determined

43. Which item experienced continuous price rise during the ten-year period?
(1) Power
(2) Cement
(3) Wages
(4) Limestone

44. Which item(s) experienced only one decline in price during the ten-year period?
(1) Steel and Limestone
(2) Steel and Timber
(3) Timber
(4) Timber and Wages


45. Each of the following statements pertains to the number of states with females outnumbering males in a
given census year. Which of these statements is NOT correct?
(1)This number never exceeded 5 in any census year.
(2)This number registered its sharpest decline in the year 1971.
(3)The number of consecutive censuses in which this number remained unchanged never exceeded 3.
(4)Prior to the 1971 census, this number was never less than 4.

46. The two states which achieved the largest increases in sex ratio over the period 1901-2001 are
(1) Punjab and HP
(3) Assam and J & K
(2) HP and Kerala
(4) Kerala and J & K

47. Among the states which have a sex ratio exceeding 1000 in 1901, the sharpest decline over the period
1901-2001 was registered in the state of
(1) Goa
(2) TN
(3) Bihar
(4) Orissa

DIRECTIONS: Answer the questions on the basis of the data presented in the figure below.


48. During 1996-2002, the number of commodities that exhibited a net overall increase and a net overall
decrease, respectively, were
(1) 3 and 3
(2) 2 and 4
(3) 4 and 2
(4) 5 and 1

49. The number of commodities that experienced a price decline for two or more consecutive years is
(1) 2
(2) 3
(3) 4
(4) 5

50. For which commodities did a price increase immediately follow a price decline only once in this period?
(1) Rice, Edible oil, and Dal
(2) Egg and Dal
(2) Onion only
(4) Egg and Onion

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