cat december 2001

8/3/2019 Cat December 2001

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CAT DECEMBER 2001

Q.2 A ladder lies against a wall. The top of the ladder reaches 8 ft. above theground. When the ladder slips two metres away from the wall, the top of the laddertouches the foot of the wall. The length of the ladder is

1) 15 2) 17 3) 8 4) 10

Q.3 A takes 4 days to do a work. B takes twice as long as A. C takes twice as long as

B and D takes twice as long as C. They are made in groups of two. One of the groupstakes two third of the time taken by second pair. What is the combination of the firstpair?

1) A,C 2) A,D 3) B,C 4) B,D

Q.4 A student got marks in the ratio 6:7:8:9:10 in five subjects having equalmaximum marks. In all, he scored 60% marks. In how many subjects, he got morethan 50% ?

1) 4 2) 5 3) 3 4) None of these

Q.5 What is the least value of x for which expression x3 7x2 + 11x 5 givespositive quantity?

1) 4 2) 5 3) 8 4) None of these

Q.9 Ram is having 158 coins of one rupee. He puts it in different bags, so that hecan hand over the cash of any denomination required between Rs. 1 to Rs. 158.What is the least no. of bags required ?

1) 11 2) 13 3) 15 4) None of these

Q.10 Train X starts from A towards B. At same time, train Y start from B towards A.

Train X travels at speed of 70 kmph and Y travels at 50 kmph. While X does not stopanywhere on the way, the train Y stops at station C in between at 60km from B for15 minutes. At what distance from A they would meet

1) 115km 2) 112km 3) 120km 4) None of these

Q.11 There are three classes X,Y and Z. Average of class X is 83. Average of Class Yis 76. Average of class Z is 85. Average of class X and Y is 79, average of class Y andZ is 81. Find average of three Classes.

1) 81 2) 81.5 3) 82 4) 84

Q.12 There are five nos. a,b,c,d,e having value of 2,5,6,10,4, not necessarily in thisorder. We have following clues

1) c + a = e 2) e + a = d 3) b-d = d

Which of the following is true ?

1) 10-5 = b-d 2) 4 + 6 = a+e 3) 4-2 = b-d 4) None of these.

Q.13 How many 5 digit different nos. can be formed which is divisible by 4 from thedigits 1,2,3,4,5,6 without repetition.

1)144 2)168 3)192 4)None of these


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Q.14 All the pages of a book starting from page 1 are summed. One of the pages hasbeen added twice, and the total thus obtained is 1000. Which is the page that hasbeen added twice ?

1) 10 2) 12 3) 14 4) None of these.

Q.15 In a certain system product of 44 X 11 is represented as 2124 find how 1453can be represented in decimal system ?

1)248 2) 346 3) 393 4) 410Q.16 All positive consecutive integers starting from 1 were written on theblackboard. One of the students entered the class and erased one of the numbers.Now the average of the remaining numbers is 35 7/17.The erased number is_______.

1)17 2)8 3)9 4)None of these

Q.18 In a four digit number, the sum of digits in the first and fourth place is twicethe sum of the digits in the third and fourth place. The difference in the first andthird digit is equal to the second digit. What is the digit in the third place?

1) 5 2) 4 3) 3 4) 1

Q.19 A person had to multiply two numbers. Instead of multiplying by 35, the personmultiplied by 53, and the product went up by 540.What was the raised product?

1) 780 2) 1040 3) 1590 4) None of these

Q.20 Euclid had a triangle in his mind .The longest side is 20 and the other side is10.Area of the triangle is 80.The third side is__

1) root 260 2) root 240 3) root 250 4)root 210

Q.21 09/12/2001 is Sunday. What was the day on 09/12/9071?

1) Thursday 2) Wednesday 3) Saturday 4) Sunday

Q.22 In a fibonacci series, difference between squares of 6th and 7th terms was 517.What is the 8th term.

1) 32 2) 65 3) 83 4) None of these

Q.23 There is a circular field having four doors in North, East, West and South. Aperson walks 3 meters from the North door. Another person comes out of the South

door and walks 9 meter towards East so that he is just able to see the first man.What is the diameter of the field.

1) 12 2) 15 3) 9 4) None of these.

Q.25 Ram has 128 boxes with him. He has to put atleast 120 oranges in one box and144 at the most. Find the least number of boxes which will have the same number oforanges.

1) 5 2) 6 3) 103 4) Cant determine.

Q.26 There are two persons A and B who joined an organization on 1st Jan 1970. A

joined at Rs. 300 and annual increment of Rs.30. B gets salary of Rs. 200 and hike of


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Rs. 50 per six month. Find the total amount distributed at the end of 31st December1979.

1) 91200 2) 92800 3) 97200 4) None of these

Q.29 If X and Y are positive integers and X + Y = 1, what is the least value of

(X + 1/X)2 + (Y+1/Y)2 ?

1) 24 2) 12.5 3) 20 4) None of these

Q.30 21 2) 4x > 5y 3) 4x < 5y 4) None of these


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Q.39 x,y and z are integers, x and y are positive odd and z is positive even integersthen which is even ?

1) (x-z)2y > 0 2) (x-z)y2 > 0 3) (x-y)2z > 0 4) None of these

Q.40 There is a rectangular field of length 60 m and width 20 m. A path of uniformwidth and area 516 sq m surrounds the field. Find the width of path

1) 1 2) 2 3) 3 4) 4

Q.41 If abcd = 1 then the minimum value of (1+a)(1+b) (1+c) (1+d) is __________

1) 8 2) 16 3) 4 4) None of these

Q no.42 -44 are based on the following data:

A player X played an inning such that

r1=Scores of completed innings.

r2=Scores of incomplete innings.

n1= number of completed innings.

n2=number of incomplete innings.

B=r1+r2/ n1 C=r1/n1 + max { 0,r2-r1/n2}

D= r1+r2/ n1+n2

Q.42 Which of the following holds?

1) C B D 2) D B C 3) B C D 4) None of these.

Q.43 If B=100 and in next innings he scored 45 not out, then which of the followingholds?

1) B>C 2) C>B 3) C>D 4) None of these

Q.44 If total number of matches played were 20 and the score was 620,which of thefollowing is true?

1) B=31 2) D=31 3) C>D 4) None of these.

Q.45 What is the minimum value of value of x for which the expression x3-5x2+11x-5gives positive values?

1) 5 2) 8 3) 4 4) None of these.

Q.46 One boy while solving a Quadratic equation takes the constant term wrong andgets the roots (4,3). Another boy takes the coefficient of x wrong and gets the roots(2,3). What are the actual roots?

1) (6,1) 2) (-4,3) 3) (2,-3) 4) None of these.

Q.47 If A,B,C are running a race A beats B by 12m while B beats C by 8 m. What isthe length of the track ?


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1) 48 2) 30 3) 50 4) None of these.

Q.48 The difference in the money between A and B is Rs.1450.C has money twice ofB and difference in the money between A and C is Rs.700.So the amount with A is?

1) 750 Rs. 2) 2200Rs. 3) 800Rs. 4) None of these.

Q.49 P, Q and S are moving on a circular stadium of circumference 2100 m. When Pcompletes one round, Q is still 700 m behind. When S completes one round, Q is 300

m ahead of him. How far from the starting point three of them will meet for the firsttime ?

1) 168 2) 2568 3) 2100 4) None of these

Q.50 x, y, z are distinct integers such as x is positive, y is lesser than x and z ismore than x and y. Then which of the following is true ?

1) x y 0 2) x-y > 0 3) x y z >0 4) None of these

1. (1) 2. (2) 3.

(2)

4. (1) 5. (4) 6. (1) 7. (1) 8. (4) 9. (4) 10.

(2)

11.

(2)12.(3)

13.(3)

14.(1) 15.(3) 16.(4) 17.(2) 18.(2) 19.(3) 20. (1)

21.(1) 22.(4) 23.(3)

24.(3)

25.(4)

26.(4)

27.(2)

28.(1)

29.(2)

30.(3)

31.

(2)32.(4)

33.(1)

34.(2)

35.(2)

36.(4)

37.(2)

38.(3)

39.(3)

40.(3)

41.

(2)

42.(3)

43.(1)

44.(2)

45.(4)

46.(1)

47.(1)

48.(2)

49.(1)

50.(2)

2) 15

3) 20

4) 10

Directions for Qns. 27 to 30. The first pie-chart gives in percentage the quantity of oil carried thquantity of oil transported is 12 million tonnes. The second pie-chart gives in percentage the cosThe total cost involved is Rs. 30 million.

Q.27 What is the cost of transportation per tonne through roads (inRs.)?

(1)1 (2)1.5 (3)0.5 (4)2

Q.28 The minimum cost of transportation is through which means ?

(1)Rail (2)Road (3)Ship (4)Pipeline.


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Q.29 The maximum cost of transportation is through which means ?

(1)Air (2)Ship (3)Rail (4)Pipeline.

Q.30. If P, Q, R denotes the cost per tonne for transportation through pipeline, ship and road reorder is correct ?

(1) P>R>Q (2) Q>P>R (3) R>Q>P (4) P>Q>R

Directions for Qns. 31 to 34. The following two bar graphs gives the breakup of man-work hoursoffshore and onsite man-work hours for three different work-activities of the organization. The sfor the same 3 activities.

Q.31 Of the total work hours involved , what percent was devoted toCoding ?

(1)55% (2)45% (3)65% (4)60%

Q.32 If 50% of the offshore coding hours is equally distributed among the onsite activities, then

following is true.

(1)Onsite design hours becomes almost equal to offshore codinghours.

(2)Onsite design hours becomes less than offshore codinghours.

(3)Onsite testing hours become less than offshore codinghours.

(4)Onsite coding hours become less than offshore codinghours.

Q.33 The actual hours devoted to offshore design falls short of the estimated offshore design ho

much percent.

(1)15% (2)10% (c)20% (d)30%

Q.34. The total onsite hours devoted to testing and design corresponds to which of thefollowing?

(1)It is more than the offshore codinghours.

(2)It is more than the onshore codinghours.

(3)It is less than the estimated offshore testing and designhours.

(4)It is more than the estimated offshore testing and designhours.

Directions:

Amit wants to see some plays. There are six plays going on. Amit wants to see all of them, as wtp 1:30p.m. The names of the plays, their durations and timings are all mentioned in the followi

Number Play Duration Timings

1 Sati Savitri 1 hour 9:00a.m, 2:00


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p.m

2 Tipu Sultan 1 hour 10:00a.m, 11:00a.m

3 Sundar Kand 30minutes

10:30 a.m , 2:30p.m

4 Hayavardhana 1 hour 10:00 a.m, 11:00a.m

5 Nagamandala 1 hour 11:00 a.m 2:00p.m

6 Jhansi ki Rani 30minutes

10:30 a.m, 1:30p.m

Q.35 Which is the best possible plan for Amit.

(1). Sundar Kand first, Jhansi Ki Rani third, Tipu Sultan fifth.

(2) Sati Savitri first, Nagamandala third, Sundar Kand fifth.

(3) Jhansi ki Rani first, Nagamandala third, Sundar Kandfifth.

(4) None of the above

Directions:

Elle is three times Yogesh.

Zahir is half Wahida

Zahir is younger than Yogesh.

Q.36. Which of the following are necessary to find the age ofeach.

(1). Wahida is same age as that of Yogesh.

(2). Age of Zahir is ten.

(3). Both are required.

(4). None of these

Q. 37. Which of the following is true?

(1). Elle is the eldest.

(2) Wahida can be elder to Elle

(3) Wahida is eldert to Yogesh


Directions:

Peter owned a butchers shop. In Peters absence, a dog ran away with a piece of meat. When Pjealous of him, gave two statements each, one of which was a lie.

Ist Shopkeeper: The dog was black. It had no collar.


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2nd shopkeeper: The dog was black. It had a shorttail.

3rd shopkeeper: The dog was white. It had a collar.

Q. 38 Therefore, the dog

(1). Was white with a short tail and no collar.

(2) was black with a long tail and a collar.

(3) was black with a short tail and a collar.

(4) was white with a long tail and no collar.

Directions: Certain sets are defined as follows.

If A is a set of all mothers and B is a set of all women, then, C =A.B represents all women who either in A or in B or in both. If there are no women who are mothers, then, A.B = f , where f is

V is set of Vertebrates, F is the set of Fish, D is the set of Dogs, P is Pluto, M is the set of MammAlsatians.

Q 39. If X = M.D and X = D, then, which of the following istrue?

(1) All dogs are mammals

(2) Some dogs are mammals

(3) All mammals are dogs


Q 40. If P.D = f and P D = M, then, which of the following is true?

(1) Pluto or any of the dogs are mammals.(2) Pluto and dogs are mammals

(3) Pluto is a dog and is a mammal.

(4) None of the above.

Q 41. If P D = A

(1) All dogs are Alsatians

(2) Pluto is an Alsatian

(3) No dog is an Alsatian

(4) Either (1) or (2).

There are 3 families.Bannerjees, Guptas and Sharmas.Each family has a feast every Sunday family eats different dishes and uses different coloured dinner sets.

The Bannerjees eat sambhar but not in the red dinner set.

The last family does not eat karela orbrinjal.


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The other dinner sets are yellow and blue in colour.

The Guptas use the yellow dinner set.

Q 42. Which of the following is true ?

1) The Bannerjees eat at 12.

2) The last family eats sambhar in the blue dinner

set.

3) The Guptas eat karela in the yellow dinner set.

4) None of these.

Back to top

ANSWERS KEY:

1. 3 2. 4 3.3 4. 4 5. 3 6. 1 7. 4 8. 3 9. 4 10.3

11. 1 12. 1 13. 4 14. 1 15. 2 16. 3 17. 4 18. 1 19.2 20. 4

21. 2 22. 4 23. 2 24. 2 25. 1 26. 2 27. 2 28. 2 29. 1 30. 2

31. 1 32. 1 33. 2 34. 3 35. 2 36. 3 37. 4 38. 1 39. 1 40. 1

41. 4 42.2 43 44 45 46 47 48 49 50

Doing a number of tests paid off. I know doing these tests caused much discomfortas scores were not able to cross 70 or so. But then the actual CAT turned out justlike some of our papers, maybe a little easier.

The paper was easier than expected, but then the questions were notstraightforward. They required some thought and needed some calculations. Theverbal section threw a surprise, but an easy one at that. The passages in readingcomprehension were also attemptible.

Once again, CAT looked for mental toughness, or, the ability to perform underpressure. What is one to do when each question is a challenge of sorts? When one isaware of the clock ticking away, the pressure mounts and one is tempted to makeblind guesses. Hopefully, CAT aspirants did not make that mistake.

First, let me look at the pattern of the paper. The pattern was very much expected:3 sections, 150 questions. So children used to a pattern of 3 sections werecomfortable. The number of questions is decreasing with the years: I remember the

times when CAT had 240 questions. One can be rest assured that in future it willhave 150 questions, or even lesser number of questions.

The Verbal Section had a mix of comprehension and English; and the surprise wasthat there was some direct vocabulary this time. Fortunately the words were all fromour wordlists: parsimonious, mellow, disuse, facetious, and the like. The differencewas that this time dictionary usage was given and one had to pick out the choicewhich was not part of the usage. Children who had done our word exercises weredefinitely at an advantage, since not a single word was asked that we had not donein class. Some of the questions were expected: parajumbles though this time therewere ABCDE and even ABCDEF, that is sentence arrangement of 5 or 6 sentences.

The passages too were more or less expected: There were 6 of them, on the


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following topics:1) Racial Discrimination,2) History of Universe,3) Childrens phonetic skills,4) Billy Holiday,5) Kurusawas characters, and6) Democracy.The number of questions per passage were slightly less, and there were a total of 30questions on comprehension. There was no technical passage this time.

The Maths section had some surprises too. No questions on functions, or highermaths. This time there was some arithmetic, with some direct questions. Thequestion on dry grapes was asked (answer 2.5!) as also one on roots. Fortunately wehad done many such questions. Surprise, there was also a question on calendars thistime (find the day on 9 Dec 1971) and something on averages. On the whole, thesection was attemptible though, as I said before, there was need for calculation andone should not have hurried. There were some questions on umber systems as well.The idea was to keep cool and keep attempting the questions you knew. Thetendency in these type or papers is to lose patience and mark blindly, in the hopethat some will be right at least. This is terrible. So, even if you were able to do just10-20 questions out of 55, that was all right. At least they would be right. I havealways been saying that no matter how difficult the paper, there will always be 10-15

questions which you can do. The same applied this year too.The DI section was comparatively easier. Some sets were quite difficult but otherswere easy. The question on Data Sufficiency were relatively simple, though somegraphs required some calculations. This section was comparatively easy. Thequestions on Reasoning were scary, since they were stand-alone questions, but someof these should also have been attempted.

What could have been done in such a paper? Depending on your area of strength,you should have started with Maths or Verbal, done the easy questions and sailedthrough, avoiding the speed breakers. The first round should have seen you spot atleast 15 questions in Maths, another 15 in Verbal and 12-15 in Data. One to twopassages in Comprehension should have been attempted in the first round. Having

done 50 questions or so, your confidence would have been gained and then youshould have attempted the rest of the questions, taking each one separately andfigured out the logic.

The paper was certainly not for people who had not done difficult type of tests, norfor the guess-makers. Thought was needed on each and every question; the papercould not have been done in a hurry. Some questions required quick wits -- againthis would be difficult if one was tense. But I wonder if students were able to spotthe completely easy ones.

Children who gave the CAT this year have brought in a large number of questions.We should be able to offer the complete paper in a few days.

It is being said that the score for IIMs this year would be 70+. I am sure thatstudents who did the paper intelligently, will be able to reach that score. However, insuch a paper, the number of attempts is no criteria for judging ones performance.What matters is whether it was a balanced score and whether one was able tocontrol the number of mistakes.

:

1. CAT is finally out of the Bag. 9 Dec 2001 (the D Day) finally arrived. Before theexam, outside exam Hall, various guess work by students on No. of sections,questions, Difficulty level etc. was the order of the Day. Finally at 12.30 p.m., theCAT was over. Mixed reaction could be observed on the faces of the students. The

PAPER was on similar pattern of last year viz. 3 sections, but this year only 150


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questions, 2 hour paper without any sectional time limits. There were not manySURPRISES.2. By and large, students felt that Quantitative Ability (QA) section wascomparatively simpler. The English Reading Comprehension (RCs) werecomparatively tougher but apart from of a few questions remaining English and DataInterpretation (DI) questions were average.3. Detailed Analysis of the respective sections is discussed below.

Outline of the Paper At a Glance

Section No. Subject No. of Questions.1. QA /Problem Solving 502. English (RC & EU) 50

3.DI & Data Sufficiency( incl. 10 questions on analytical reasoning)

50

Total Questions 150

Detailed Analysis - Section - I ( QA )Detailed Analysis - Quantitative Ability (QA) Section

Sr.No

Subject /Topic

No. ofQuestions

Difficulty Level / Remarks

1. Arithmetic Easy/Average/Difficult/VeryDiff.

1a.Numbersystem

14 3 5 4 2

1b. Averages 03 1 1 11c. Percentages 03 1 2 1d. SI & CI

1e.Profit, Loss &Discount

1f. Ratio andProportion

02 1 1

1g.

Time, Speed

and Distance 06 1 2 2 11h. Work, Wages

(Time & Work)02 1 1

1i. Calendars 01 1

1j.GeneralArithmatics 01 1

2 Algebra

2a.PermutationandCombination

1 1

2b.

linear and

QuadraticEquation

7 1 3 1 2

2c. Set Theory

2d.Functions-Maxima/Minima

1 1

3.Geometry &

Mensuration7 2 2 1 2

4. Trigonometry1 1 5. Others 1 1 6. Total 50


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Comments and Analysis :

Overall the level of difficulty was average. Students found this to be surprising as itwas speculated as a very difficult section. Format/contents of the questions were asfollows :-

Six Questions:- Based on time and distance which also included a problem based onstreams and another based on races and games. 2 of them were also based on asmall graph representing amount of fuel consumed varying with the speed of thevehicle.

Two Questions:- Based on time and work were direct application on formulae

Seven Questions:- Based on Geometry and Mensuration were by and large simpleand could be solved comparing the giving options.

Fourteen Questions:- Mainly number system, 1 on permutation & combination.

Eleven Questions:- Based on basic arithmetic and algebraic fundamentals,formulation of linear and Quadratic Equation.

Total Questions 50Suggested Time Allotment for QA Section - 40 to 45 min

Suggested Questions Attempts- 40 PlusLikely cut off score- 35 PlusDetailed Analysis Section - II ( RC & EU ) RC

1. Passage I

a) Subject - Narrationof Film

b) Approx Words - 1000

c) Number of Questions - 6

d) Type of Questions - Specific questions mainly from the illustrative matter used inthe passage.

e) Difficulty level - Average

f) Other related aspects & comments - The passage did not contain difficultvocabulary or language. However, the entire structure was soaked in the subjectmatter alone.

2. Passage IIa) Subject - An obituary of a single named Billie Holiday.




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d) Type of Questions - General questions by and large.

e) Difficulty level Average

f) Other related aspects & comments - The passage was simple and interesting whichhelped to remember the contexts of the passage.

3. Passage IIIa) Subject - U.N.Conference on racial and cast decimation.



d) Type of Questions - Not straight abstractive from the passage.

e) Difficulty level - Difficult

f) Other related aspects & comments - Was a general topic but the questions werenot direct abstraction from the passage.

4. Passage IVa) Subject - Astronomy based passage-having concepts of Dark Age, big bank theoryand quasars, etc.



d) Type of Questions - By and large questions.


f) Other related aspects & comments - Technical language.

5. Passage Va) Subject - Phonological skills in young children



d) Type of Questions - Could not be deducted from the passage directly.


f) Comments - Language was average but the passage contained a lot of obscurity.

6. Passage VIa) Subject-Leadership and democracy.

b) Approx Words-750


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c) Number of Questions-5

d) Type of Questions-Based on facts derived from the passage.

e) Difficulty Level-Difficult

f) Comments-Concept was general but the answers could not be derived easily fromthe passage.

7. General Comments: RC Passagesa) The passages were all reasonably lengthy (above 800 words).

b) Language was easy & simple. However, each passage had its own technical pathsto tread.

c) Subjects range from very general to a very technical one.

d) Questions were not sequenced on any difficulty level.

e) Almost all questions had their answers drawn from the passages

8. English Usage :Exercise Set Ia) Subject - Parajumbles ( 5 sentences type )

b) No. of. questions - 5

c) Difficulty Level - 3 problems Average, 2 problems-Difficult.

Exercise Set IIa) Contextual usages-Words to be phrased in properly to fit in the correct context.

b) No. of. Questions - 5

b) Difficulty Level - Average

Exercise Set IIIa) Subject: Fill in the blanks

b) No. of Questions : 5

c) Type of Questions : There were 2 blanks in each sentence. The best alternative ofa set of 2 words had to be chosen from among the four options given. e. g.

In these black and depressing times of ______________ prices, non performinggovernments and ___________________ crime rates, Sourav Ganguly has given us,Indians, a lot to cheer about.

1. escalating, increasing (Suggested Ans.)

2. spiraling, booming


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3. spiraling, roaring

4. ascending , debilitating

c) Difficulty Level - Easy

Comments - It was relatively easy to arrive at the correct option by the process ofelimination.

Exercise Set IVa) Subject - Matching the Dictionary and usage based statements.

b) No of Questions - 5

c) Type of Questions - 2 Groups in vertical base were given, each having 5 sub-groups the first vertical group containing dictionary group meaning and the secondcorresponding group containing usage based statements were given to match witheach other.

d) Difficulty Level - Average

RC & EU Section Over all comments :

10. Difficulty Level :

RC - difficult

EU Easy / Average

11. Suggested Time Allotment RC & EU Section - 35 to 40 min.

12. Suggested Questions Attempts - 40 Plus

13.Likely cut off Score - 30 Plus.

Section - III

Detailed Analysis -- Data Interpretation & Data Sufficiency SectionEx.

No. Subject / Topic No. ofQuestions Difficulty Level/Remarks1 ONE TABULAR Data various airports with there

codes, locations, passengers etc.5 Easy/Average

2 ONE TABULAR Data of various types ofgarments in three different colors, eachavailable in four different sizes.

4 Easy / Average

3 ONE SEGREGATED BAR DIAGRAM four barseach divided into five different segmentsrepresenting the five different operationsundertaken by four companies.

4 Difficult

4 ONE BAR DIAGRAM giving data on codingdecoding and testing (Three stages in asoftware products life cycle).

6 Difficult

5 ONE PIE DIAGRAM containing 2 pies one givingtransportation amount and another total

3 Average


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transportation cost.

6 ONE DIAGRAMATIC REPRESENTAION five citiesconnected through pipe lines. Problems basedon demand and supply and also the capacity ofthe connecting pipe line.

4 Easy

7 Four Set theory based problems using conceptsof intersection and union of the sets.

5 Average/Difficult

8 ANALYTICAL REASONING data given as a formof small passage which included relationshipcaselets, selection of groups age relatedproblem etc.

10 Average

9 TABULAR DATA giving onsite and offsite options. 6 Difficult

9 DATA SUFFICIENCY 3 Easy /Average

TOTAL QUESTIONS : 5010 Difficulty Level / Comments : Average/Difficult

11 Suggested Time Allotment for Section : 40 minutes

12. Suggested questions Attempt : 40 Plus

13. Likely Cutoff Score : 30 Plus

Analysis Summary And Overall Expert Comments - CAT 20011. Comments - Paper Pattern similar to CAT-2000. QA section Difficulty Level lowerthan the other two sections i.e. English & DI.

2. CAT 2001 Paper Likely Cut Off ScoreEnglish RC & EU Section - 30PlusQA/Problem Solving Section - 35PlusDI & DS Section - 30 PlusOVER ALL FOR IIM (For Interview Call) - 95 PlusOVER ALL for MDI & SP JAIN - 85 - 90 plus

OVER ALL for MICA, CHANDIGARHUBS, GOA - 75 to 80

3. Strategies Suggested for CAT 2002 :

- Shifting trends towards analytical Reasoning. Focus Accordingly.- Trend towards QA/Problem Solving section becoming more logic based more focuson Number System and algebraic equations. Prepare/Practice QA more effectively.- More emphasis required on speed reading for RC Passages.- Time Planning importance on the increase.- No of Sections (Typically 4) not being adhered to. Sections could be 3 ( as for CAT'2000 & CAT 2001) or could even go to 5 next year. Adopt flexibility in approach withno RIGIDITY in mind about number of Sections /Questions / Type of Questions etc.

- Analytical Reasoning / Logical reasoning questions may appear in any / all sections.Prepare accordingly.

COMPARATIVE ANALYSIS - CAT 99, CAT 2000 & CAT 2001

READING COMPREHENSION

CAT 99 CAT 2000 CAT 2001No. of Passage 5 5 6

Approx. Words in Passage 1475 (6) 1200 (8) 1000 (6)

& (No. of Questions) 850 (6) 1100 (8) 800 (4)


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825 (5) 1100 (8) 800 (5)

875 (5) 1100 (8) 750 (4)

850 (5) 1000 (8) 1200 (5)

750 (5)

Total Words & (No.of 5100 (27) 5500 (40) 5300 (30)

(Questions)

ENGLISH USAGE

Topic CAT 99 CAT 2000 CAT2001

Parajumbles Questions 10 10 5(4/5/6 Type)

Sentence Correction 8

Inferential /

Deductive Reasoning 10

Fill in the Blanks 5 5

Sentence Arrangement(4 /6 Statements)

Short Paragraphs

Substitute Underlines Portion

in sentence

Contextual usage 5

Match the two columns 5

Total Questions ------------ ------------ --------------28 15 20

QUANTITATIVE ABILITY/ PROBLEM SOLVING

Topic CAT 99 CAT 2000 CAT 2001Arithmetic Questions- Number System 10 15 14- Averages, percentage/Mixtures 3 2 6

- Time, Speed & Distance 3 1 6- General Arithmetic 3 8 6Algebra Questions 9 9 7Geometry & Mensuration 6 2 7Permutations & Combination 3 1 1Maxima & Minima Related 2 2 1Set Theory(Functions & Graphs)

4 4


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Graphical Situations 7 3 2Verbal Logic/Logical Situations 5 8TOTAL : 55 55 50DATA INTERPRETATION (DI) & DATA SUFFICIENCY

Topic CAT 99 CAT 2000 CAT 2001Line Graph Questions 4 6 -

Line Chart 5 - -Tabular Data 5 14 15Pie Chart 6 - 3Case - 5 -Bar Diagram - 10 14Data Suffiency 10 10 3Critical Reasoning - 10 -Analytical Reasoning - - 10Set Theory - - 5TOTAL : 30 55 50

Comparative Analysis - Trends & Expert Comments

1.Change in Format :- There is a clear increasing trend towards change in formatand flexibility in number of sections and questions. CAT paper NO MORESTEREOTYPED.

2. Analytical and Logical Reasoning :- Focus shifting towards this.

3.Conventional Formula Based Questions :- A paradigm shift away from suchquestions.

4. Level of Difficulty :- Trend towards SURPRISES. Quant Ability/Problem solvingsection emerging as a less difficult section this year and reading comprehensiongetting difficult over the years. Increasing competition for CAT is possibly one of themajor reason for this and QA/Problem solving section can eliminate large Number ofstudents from the race.

5. Time Planning & Accuracy :- Increasing Importance towards these aspects.

6. No of Sections (Typically 4) not being adhered to. Section could be 3(as for CAT 2000 & CAT 2001) or could go to 5 next year. Adopt flexibility inapproach with no RIGIDITY in mind about number of Sections /Questions / Type ofQuestions etc.

7. Analytical Reasoning / Logical reasoning questions may appear in any / allsections. Prepare accordingly.


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CAT DECEMBER 2000

Section I - English Questions 55

English Usage Questions

PARAJUMBLES

Parajumbles ( 4-sentence type) Parajumbles ( 5-sentence type) Parajumbles ( 6-sentence type)

SENTENCE COMPLETION

145

10

5

Total 15

Reading Comprehension Words Questions

North Indian Classical Music) Electronic & Magnetic Storage

Technology Settlement of Tribes Abstractionism Intellectual Property Rights (IPRs)

1300145014501400

1300

8888

8

Total 6900 40

Every test taker must have let off a sigh of relief after seeing the RC passages. Oneshould have spent about 40 minutes in this section attempting 3 passages that wererelatively easy, and mostly contained fact-based questions, amounting to 24questions. The language was simple, and comprehension wasn't difficult at all. Thesentence completion questions were also easy as were the parajumbles and all 15questions should have been attempted. Thus, totally one could have attempted

around 35 - 40 questions in 40 minutes, achieving a score of 30.

Section II - Quantitative Questions 55Topic No. of Questions

ARITHMETIC Number Systems Rest of Arithmetic

11

4

15

ALGEBRA Functionss Progressions Equations/Inequalities

8 1

3

12

GEOMETRY Co-ordinate + Graphs Plane Geometry

6

3

9

PERMUTATION / COMBINATION 3


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REASONING 8

MISCELLANEOUS 8

TOTAL 55

The pattern of this section was not very different from last year - most of thequestions were reasoning driven. For example, the set of questions on cricket wasvery simple, but most people dropped it because of lack of comfort with cases. Alarge number of questions could have been attempted by working with choices.

The paper would look difficult to someone who was not very comfortable withfunctions and Algebra - though the number of questions from these topics was nothigh, they presented a prominent front in the paper. But out of the 12 problems infunctions 7 of them had nothing but a intimidating facade.

A second look at the paper would have enabled one to identify about 15-17 one-liners that were a straight go! An allocation of about 40 minutes would have made anattempt of about 25 fairly achievable.

Section III - DI, DS and Inferential Reasoning Questions 55Questions

Data Sufficiency 10

Data Interpretation 30

Table- IT Industry Table - Factories & Employment Table - Export-Import Intensity Bar Chart - Foreign Equity Inflow to

GDP Ratio Multiple Bar Chart - 4 bar charts (for

1990 - 98) Line Chart - Variable Cost / Marginal

Cost

645456

REASONING 5

INFERENTIAL REASONING (short passages) 10

TOTAL 55

This section, comprising reasoning and data interpretation, could have come as arelief after the quant section. The key to this section was to attempt the DS andInferential Reasoning questions and then pick up the easier sets of data. The fiveLogical Reasoning questions were lengthy to read, took time to solve, and hence,should have been the last resort as far as this section was concerned.

The tables on export-import intensity, factories and employment were a bit confusingand could have been left. The table on IT sector, was easy to understand and thequestions were also direct. Similarly, the line chart on variable cost of WidgetManufacturing by ABC Ltd. and bar chart on Foreign Equity Inflow werestraightforward. The set of data with four bar charts looked intimidating, but wasvery simple and should have been attempted.

Out of the 10 questions in Inferential Reasoning, 8 were easy. The options did notseem too confusing, but for someone who was daunted by the size of theparagraphs, these should not have been attempted at all! An attempt of about 6-7questions was achievable.


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An attempt of 7 to 8 in DS, 15 in DI and 7 to 8 in Inferential Reasoning was possiblein 40 min. A net score of 25 was definitely on.

Comprehensive Analysis of the Common Admission Test(for admission to the IIMs and other allied institutions in India)

Total Time allotted = 120 minutes (2 hours)

Total number of Sections = 3Total Questions = 165

Section 1 English Usage + Reading Comprehension No. of questions = 55Section 2 Mathematical Aptitude + Logical Reasoning No. of questions = 55Section 3 Data Interpretation + Data Sufficiency + EU/RC + LR No. ofquestions = 55

CAT 2000 -- OVERALL BASIC SUMMARY

1. CAT had 3 sections overall just like the previous year

(as compared to the conventional 4 sections that have been coming for thepast 10 years before that). A basic reason for this could have been theexaminers attempt to put stress on the students however, since thestudents' already knew the pattern of the CAT and many had anticipatedalmost what it would be like this year, it was a sigh of relief for many ! (notthat it would matter much as far as scores are concerned) It must bementioned here that this pattern along with many others were taken up in theMM courseware and we are sure that our students would have benefitedimmensely from that rigorous practice.

(2) English Usage was based primarily on "understanding of language and notcramming of words."

Almost 10 questions were based on "Paragraph Formation" and"Rearrangement of sentences". This trend has been seen for the past 10years. (MM students have a major advantage over others this practice hasbeen done in the class hundreds of times.)

Typical "Fill in the Blanks" type questions came again (they were not a part ofCAT 1999). These have been done repeatedly in the MM classroom sessions.

No direct questions on Vocabulary came this time. No synonyms-antonymstypes, no verbal analogies types, no odd-man-out types.

(3) Reading Comprehension was not very easy but was manageable forthe sincere student. A mix of very direct and some indirect questions

given.

Direct RC (passages followed by set of questions) had 5 passages and 40questions. This came as part of the Language (EU + RC) section.

Indirect RC (small passages followed by ONE question) had 10 questions. Thiscame in the third section (DI +DS + LR + RC)

MM students have a great edge over others as these types of passages havebeen discussed several times in the classes and the Library has several booksof these types for students reference.

(4) English questions had several RC based "summary-type" questions.


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(5) Not a single question based on Verbal Analogies, Synonyms, Antonyms, Odd ManOut was asked. The message is clear No direct vocabulary questions please !

(6) Data Sufficiency has been standardised for the past 3 years. "Any one statementalone is sufficient" type directions came again. A total of 10 questions appeared.

(7) Data Interpretation was very easy this time compared to last few years. This isso because there were several very direct questions in the DI sets.

(8) A lot of Logical Reasoning based questions came this year spread across twosections.

(9) Maths section was not a cakewalk. Though about 20 questions were direct, therest needed a lot of prior exposure and practice to manage. An interesting thing thathas emerged is that the easiest of questions get couched in the most abstruselanguage and look difficult !

(10) The overall structure of CAT was clear -Language - Usage + Comprehension 55 questionsMathematics -- Aptitude + Reasoning 55 questionsData Analysis -- Aptitude + Reasoning 55 questions

(11) An ideal time division could have been

Scheme No. 1 (for those more comfortable with Language)

Priority 1English questions from Section 1 and 3 Time = 10-15 minutesPriority 2Reading Comprehension questions from Section 1 Time = 30-35 minPriority 3Maths questions Time = 35 minPriority 4LR + DS + DI questions Time = 30-35 min

OR

Scheme no. 2 (for those more comfortable withQuantitative)

Priority 1

Maths questions Time = 35 minPriority 2

LR + DS + DI questions Time = 25-30 minPriority 3

Reading Comprehension questions from Section 1 Time = 35 minPriority 4English questions from Section 1 and 3 Time = 20 minutes

A Birds Eye-View of CAT 2000

(This is just a sketch exact sectionwise details given later.)The Basic Structure of each section was :

Section 1: English Usage + Reading Comprehension


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Q.1 to Q.5 Paragraph formation of 5 statements(*ample practice material of hundreds of questions given inMMs courseware for CAT).

Q.6 to Q.10 Fill in the blanks type questions. There were 2 blanks to befilled in each question. Very direct questions. (*ample practicematerial of hundreds of questions given in MMs courseware forCAT that included even 4 blanks per question!).

Q.11 to Q.15 Paragraph formation of 6 statements (4 between 2 types)(*ample practice material of hundreds of questions given inMMs courseware for CAT).

Q.16 to Q.23 Reading Comprehension passage no. 1 on 'Crisis faced by theSchool of Abstractionist Art'.

Q.24 to Q.31 Reading Comprehension passage no. 2 on 'Differences inapproach between North Indian classical music and Westernclassical music'.

Q.32 to Q. 39 Reading Comprehension passage no. 3 on 'MNCs inAgribusiness and TRIPS'.

Q.40 to Q.47 Reading Comprehension passage no. 4 on 'Different Types ofStorage devices used in computers'.

Q.48 to Q.55 Reading Comprehension passage no. 5 on 'The Conquest ofthe West by the European Settlers' (*ample practice materialof hundreds of passages given in MMs courseware for CAT.These passages were almost identical to the ones inMMs study material).

Section 2: Mathematical Aptitude

Q. Conversion of Decimal into Fractions type questions Number theorybased question A must do type would take 15 seconds at the most.

Q. Linear equations with tabulated data given for X and Y Linear equationtheory based question Can be done type would take 60 seconds atthe most.

Q. Generation of Numbers series (A1, A2 types) Number theory basedquestion A must do type would take 30 seconds at the most.

Q. Value of a given fraction Number theory based question A can dotype would take 80 seconds at the most.

Q. Truck travelling at a rate and fuel consumption types Percentages andTime-Speed theory based question A can do type would take 60seconds at the most.

Q. Sequence of 7 consecutive integers given and average is asked Numbertheory based question A can do type would take 45 seconds at themost.

Q. Given conditions on X and Y, find the true statement Logic and Numbertheory based question A must do type would take 30 seconds at themost.


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Q. One red, three white, and two blue flags to be arranged, finding thenumber of arrangements Permutations and combinations basedquestion A can do type would take 60 seconds at the most.

Q. Given a set of integers X and some conditions Number theory and Settheory based question A can do type would take 50 seconds at themost

Q. Three distinct integers X, Y, Z positive and odd, finding the false statement Logic and Number theory based question A must do type wouldtake 30 seconds at themost.

Q. A set of prime numbers > 2 and < 100 given, find the number ofconsecutive zeroes in the product Logic and Number theory basedquestion A must do type would take 30 seconds at the most.

Q. N = 1421 x 1423.. divided by 12 to get the remainder Modulus theorybased question A must do type would take 15 seconds at the most.

Q. Number of distinct triangles with some given perimeter Geometrytheory based question A must do type would take 60 seconds at themost.

Q. Given 34041 and 32506 being divided by a three digit number to give acommon remainder. What could that number be ? Number theory basedquestion A must do type would take 25 seconds at the most.

Q. Given the numbers x1, x2 etc. upto xn each having a range of values.Finding the value of n. Logic + Number theory based question A maydo type would take 120 seconds at the most.

Q. Table of age of people (of a country called Indonesia) Finding the numberof females Calculation based question A can do type would take

60 seconds at the most.

Q. Sam forgets his friend's phone number (and other conditions given) .Number of attempts required to get through Permutation andCombinations based question A not do type.

Q. Binary operations based two questions with symbols like @, /, X etc. Binary operations based question A must do type would take 60seconds at the most. {it seems this question had a printing error --manystudents reported so}

Q. X, Y, Z are real numbers. Functions f(X, Y, Z) defined as .etc. Number

theory based question A must do type would take 60 seconds at themost.

Q. Robot delivering goods to machines A, B, C, D, E etc. Logic basedquestion A can do type would take 120 seconds at the most for boththe questions.

Q. Function based question with three graphs given (exactly similar as lastyear's CAT) Graph based question A must do type would take 60seconds at the most.


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Q. Three bottles A, B, C having certain capacities .. controlled by acomputer. Logic based question A must do type would take 60seconds at the most.

Q. Sixteen teams playing ABC goldcup matches to be played in 2 stages. Logic based question A can do type would take 250 seconds atthe most.

Q. N = 55cubed + 17 cubed - 72 cubed divided by Logic + Numbertheory based question A can do type would take 60 seconds at themost.

Q. X2 + Y2 = 1 and other conditions given Number theory based question A not do type.

Q. Rhombus ABCD diagonals intersecting at the origin and otherconditions . Geometry based question A must do type would take45 seconds at the most.

Q. Circle of unit radius having sectors S1, S2 .. Areas of sectors.Geometry based question A must do type would take 45 seconds atthe most.

Q. Books 1, 2 and 3 placed in an order on a table.. to be shifted to thenext table Logic based question A can do type would take 60seconds at the most.

Q. Area bounded by 3 curves | X + Y |= 1 and other conditions given Geometry + Logic based question A not do type.

Q. Given equation X cubed - a X squared etc. having real roots, then find a,b Linear equations + Logic based question A can do type would take60 seconds at the most.

Q. Sides of a triangle are given (a, b, c). Find the triangle . Trigonometrybased question A not do type.

Q. Figure given ab = bc = cd finding dae etc. Geometry basedquestion A not do type.

Q. A shipping clerk having 5 boxes weighing them in pairs find theheaviest box Logic based question A not do type.

Q. Three cities A, B, C connected by road .. Find the number of ways ofgoing from one city to another etc. Pure Logic based question (severalsuch questions appear in the MM material especially the Final Test series)

A not do type basically because of the time involved.

Q. Convert 1982 from base 10 to base 12 Number theory based that canbe done from the options directly A must do type would take 10seconds at the most.

Q. Two tanks, cylindrical and conical.. difference of capacities of the twogiven. Finding capacity of cylindrical Working backwards from optionsbased question A must do type Would take at the most 15 seconds.

Q. Farmer fencing his field gets less number of fences find length offield and number of fences. Linear equation based question A must

do type at the most 30 seconds.


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Section 3: Data Interpretation/Data Sufficiency/Verbal Reasoning/LogicalReasoning

Q. 111-115 LR based 5 questionsQ. 116-126 5 questions on Import Export data and Deficit SOME MORE ALSO unable to recallQ. 127-131 Bar graph based questions on "Various sectors of Economy"Q. 132-136 IT in India - Tabular type questionsQ. 137-141 Tabular question on "Companies and Sectors of Corporate India"Q. 142-145 FEI graph and questions based on that bar graphQ. 146-155 DS questionsQ. 156-165 RC Theme based questions

General Caveat: This question numbering is based on a particular set of test paper.Your test paper may have had a different numbering order but the questions areidentical across all sets.

Overall we can summarise that the level of difficulty of this paper was marginallytougher than that of CAT 2000. Hence, cut-offs are likely to drop a little. An attemptof 90 can be considered a good one. With inputs from Mumbai, Bangalore, Chennai,Delhi, Cochin, Tiruvananthapuram, Hyderabad, Chandigarh, Lucknow, Jaipur,

Calcutta, Guwahati, and Pune the following performance parameters can be taken asa benchmark for all the CAT 2000 takers.

Section QuestionsPossibleAttempts

PossibleScore

Cut-off for adefinite call

Section

I55 40 30 - 35 26

SectionII

55 25 20 16

SectionIII

55 30 25 22

Total 165 95 75 - 80 70 - 75

For IIMs the cutoff could be 70 and 75+ is a sure shot call from the top ones. Forinstitutes like MDI, SPJain the cutoff could be 65+ net and for MICA, GIM, UBS thecutoffs could be 60+. It is quite likely that these institutes may look at only totalcutoffs and not sectional ones.

Though the most important of all the MBA entrances is behind, others are round thecorner. With IITs, FMS, XLRI etc. to follow, it is time to look ahead and bedetermined to do well in those. Be positive in realizing your dreams. We are sure youall will.

However good or bad you may feel about the CAT, the results are bound to surprisemany of you. This has been happening year after year leaving many with hardly anytime to prepare for the second round - face to face. Hence start thinking about thepreparation for the next phase - Group discussions and Interviews. Do not be leftbehind. Evaluate and join programs on personality development that are beingoffered by some organizations in your city. The programs will expose you to thechallenges ahead and prepare you to face it confidently. Enroll yourselves now andmake a difference to yourself.

CAT-2000

(C) MBA m a t t e r s


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NUMBER OF SECTIONS- 3

The main subjects were distributed over the three sections as illustrated in the tablebelow.

Subject Marks Difficulty

Level

I Verbal Skills

ReadingComprehension

15

40

Average

Average

II QuantitativeAbility

55 Tough

III DataInterpretationCritical Reasoning

4510

Average+Average+

TOTAL 165

Given this format there were several possible strategies you could have adopted.

These are two of the most likely approaches to have been taken.

TIME ALLOTMENT STRATEGIES

Strategy 1 Strategy 2

Section 1- 40minutes






It is probable that some of you may have got a little nervous and failed to optimiseyour resources. But given that you have been preparing for all kinds of possibilities,we hope that all of you have allocated more time to the tough Quantitative section.However remember that strategies depend upon your individual methods offunctioning and your strengths and that whatever you chose may work out for you in

the end.

Our next task is to look at the five main subject sections [Verbal Ability, ReadingComprehension, Reasoning (including Critical, Mathematical, Analytical),Mathematics and Data Interpretation] and examine the areas that CAT focussed onin each. Here is a break up of each subject in terms of the marks allotted to differentkinds of questions and the level of difficulty.

Verbal Ability

Types of Questions Allotted Marks Difficulty Level


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Jumbled Sentences (4-5) 5 Average

Jumbled Sentences (6) 5 Average

Fill in the Blanks (5) 5 Average

Total 15

Reading Comprehension

Serial No. Subject No. of qns. Diff. Level

1. IT 8 Average

2. Abstract Art 8 Average

3. TRIPS 8 Average

4. Classical Music 8 Average

5. Negative Fallouts of Innovations 8 Average+

Total 40

Reasoning

Areas Tested Number of Questions Difficulty Level

Critical Reasoning 10 Average+

Maths Reasoning 13 Average

Analytical Reasoning 10 Average

TOTAL 33

Mathematics

Subject Allotted Marks Difficulty Level

Functions 13 Average+

Permutations 3 Tough

Geometry 3 Easy

Algebra 7 Tough

Coordinate Geometry 3 Average+

Understanding Numbers 7 Average

Mensuration 1 Average


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Arithmetic 2 Average

Inequality 3 Average

Total 42

Data Interpretation

Areas Tested AllottedMarks

DifficultyLevel

Bar Graph 10 Average

Line Graph 4 Average+

Tables 11 Tough

Data

Sufficiency10 Average

TOTAL 35

Since the level of difficulty coupled with the novelty of the paper pattern hasprobably thrown most people off guard, cut-offs this year are likely to be slightlylower than they usually are. Our tea leaves tell us that given this break up

Section Optimal Time Optimal Attempts Optimum Score Cut-Offs- IIMs

I 40 minutes 40-45 32+ 25

II 50 minutes 25-30 20+ 17

III 30 minutes 30-35 25+ 23Total 2 hours 95-110 85 75

It has been a tough roadespecially the last leg of the journey. No DeductiveReasoning, no Percentages, no Alligation, no Trigonometry, no GrammarIt onlyproves what we all know and dread. You can make very few predictions about CAT.This year has driven it home more truly than ever before.

Section II

2. What is the area of the region bounded by |x + y| = 1, | x | = 1 & |y | = 1(a) 2 (b) 4 (c) 1 (d) 3

3. ABCD is a rhombus with diagonals AC & BD intersecting in at the origin in the xyplane. If equations of AD is x + y = 1 then the equation of line BC is(a) x + y = 1 (b) x + y = - 1 (c) x y = 1 (d) none of theseDirections : For question (4-5), certain relation is defined among variable A & B.Using the relation answer the question given below.@ (A, B) = average of A & B\ (A, B) = product of A & Bx (A, B) = the result when A is divided by B4. The sum of A & B is given by(a) \ (@ (A, B), 2)(b) @ (\(A, B),2)


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(c) @ (X (A, B) 2)(d) none of these

5. The average of A, B & C is given by(a) @(x ( \ (@ ( A, B ), 2 ), c), 3)(b) \ (x ( \ (@ (A, B ) ) c, 2)(c) X (@ ( \ (@ (A, B), 2) c, 3)(d) @ ( \ (@ (A,B), 2), C)

Directions for question 6-8:x & y are non zero real numbersF (x, y) = +(x + y)0. 5 , If (x +y) 0. 5is real, otherwise = (x + y )2g (x, y) = (x + y )2 if (x + y ) 0 . 5 is real , otherwise = - (x + y )

6. For which of the following is F(x, y) necessarily greater than g(x, y)(a) x & y are positive(b) x & y are negative(c) x & y are grater than - 1(d) none of these

7. Which of the following is necessarily false ?(a) f (x, y) g(x,y) for x,y>1(d) None of these

8. If f(x,y) = g(x,y) then(a) x = y (b) x + y = 1 (c) x = - y = 5/4 (d) Both b & c

9. Convert 1982 in base 10 to base 12.(a) 1129 (b) 1292 (c) 1192 (d) 1832

10. Sameer has to make a telephone call to his friend Harish. Unfortunately he doesnot remember the 7 digit phone number. But he remembers the first 3 digits are

635 or 674, the number is odd and there is exactly one 9 in the number. Theminimum number of trials that Sameer has to make to be successful is(a) 10,000 (b) 2430 (c) 3200 (d) 5000

11. D is a real number with non terminating digits after the decimal point.D = 0.a1 a2 a1 a2 a1 a2..with a1 & a 2 not both zero. Which of the followingwhen multiplied by D will necessarily give an integer?(a) 18 (b) 198 (c) 100 (d) 288

12. P is the product of all the prime numbers between 1 to 100. Then the number ofZeroes at the end of P are:(a) 1 (b) 24 (c) 0 (d) none of these

13. There are two disjoint sets S1 and S2 whereS1 = { f (1), f (2), f (3) , }S2 = {g (1), g (2), g (3) , .} such that S1 U S2 forms the set of naturalnumbers. Also f (1)< f (2) < f (3) & g (1) < g (2) < g (3)f(n) = g(g(n)) + 1Then what is g (1)?(a) 0 (b) 1 (c) 2 (d) cant be determined

14. There is a regular octagon A B C D E F G, a Frog is at the vertex A. it can jumpon to any of the vertices exceptthe exactly opposite vertex the frog visits all the vertices exactly once and thenreaches vertex E then how many


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times did it jump before reaching E ?(a) 7 (b) 2n + 1 (c) 6 (d) cant be determined

15. Find the following sum:1/(22 - 1 ) + 1/(42 1)+ 1/(62 1) + +1/(202 1)(a) 9/10 (b) 10/11 (c) 19/21 (d) 10/21

16.

x 1 2 3 4 5 6

y 4 8 14 22 32 44

Which of the following equation will be best fit for above data?(a) y = ax + b(b) y = a + bx+cx2(c) y = ea x +b(d) None of these

17. There are five boxes, each of a different weight & none weighing more than 100.Arun weighs two boxes at a time and obtains the following readings in grams : 110,111, 112, 114, 115, 116, 117, 119, 120, 121, what is the weight of the heaviestbox?(a) 60 (b) 61 (c) 64 (d) cant be determined.

18. N = 1421 x 1423 x 1425 what is the remainder when N is divided by 12?(a) 0 (b) 1 (c) 3 (d) 9

19. x > 2, y > -1 then which of the following holds good?(a) xy > -2(b) xy < -2(c) x > -2/y

(d) None of these

20. xn are either 1 or 1 & n 4x1 x2 x3 x4 + x2 x3 x4 x5 + x3 x4 x5 x6 + +xn x1 x2 x3 = 0 then n can be(a) odd (b) even (c) prime (d)cant be determined

21. What number should be subtracted from both 32534 & 33069 so that theresultant give the same remainder on division by a 3 digit number?(a) 298 (b) 307 (c) 461 (d)cant be determined

22. If x, y and z are odd integers which of the following is necessarily false?(a) xyz is odd

(b) ( x y) z is even(c) (x y ) (z + y ) x is even(d) (x y z ) (x + z ) is odd

23. A, B and C are 3 cities that form a triangle & where every city is connected toevery other one by at least one direct root. There are 33 routes direct & indirect fromA to C & there are 23 routes from B to A. How many direct routes are there from Ato C?(a) 15 (b) 10 (c) 20 (d) 25

24. If f ( 0, y ) = y + 1, f (x + 1, y) = f ( x , f (x, y )) Then, what is the value off(1,2)?

(a) 1 (b)2 (c) 3 (d) 4


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25. A and B are two cities 10 Km apart. A load of 80 Kg has to be transported from Ato B. the courier service is charges @ 10 Rs per hour. The optimal speed that onecan go without load is 10 Km/ hr, the speed reduces to 5 Km/hr with a weight of10Kg. Further with 20 Kg (which is the maximum weight that can be carried), thespeed is 2 km/hr. What is the minimum cost?(a) 200 (b) 180 (c) 160 (d) 140

26. If the perimeter of a triangle is 14 and the sides are integers, then how manydifferent Triangles are possible?(a) 6 (b) 5 (c) 4 (d) 3

27. There are two tanks, one cylindrical and the other conical. The cylindrical tankcontains 500 litre limca more than the conical tank. 200 litres is removed both fromthe cylindrical and conical tank. Now the cylindrical tank contains double the volumeof liquid in the conical tank. What is the capacity of the cylindrical tank in litre?.(a) 1000 (b) 700 (c) 800 (d) 1200

28. a,b & c are sides of a triangle. If a2 + b2 + c2 = ab + bc + ac then the trianglewill be(a) equilateral (b) isosceles (c)right angled (d) obtuse angle

29. There are seven consecutive natural numbers such that the average of the first

five is n. then average of all seven numbers will be?(a) n(b) n + 1(c) kn + 1/k where k is a positive constraint.(d) n+2/7

Direction: For questions (30- 31).

There are three vessels A,B, and C with capacities 5, 3 and 2 respectively. There is acomputer program that can perform certain functions as described below:Drain (Y) : drains the liquid in a vessel Y.Fill (X,Y) : fill amount from Y into X suchthat the amount of liquid withdrawn from Yis equal to the liquid in X.

Empty (X,Y) : empty amount from Y into X such that the amount left in Y is equal tothe amount of liquid in X.

30. The following operations are performed in succession1. Fill (C,A) 2. --------- 3. Fill (C,A)

What should the second operation be if after the three operations A should containone litre of liquid?(a)Empty (C,B) (b)Empty (B,C) (c)Fill (C,B) (d)Fill (B,C)

31. In addition to the three operations in above problem, the fourth operationperformed is Drain A. What operations should follow so that A contains four litres of

liquid?(a) Empty (B,A) , Drain (c)(b) Empty (B,A) , Empty (C,A)(c) Fill (B,A) , Fill (C,A)(d) Fill (A,B) , Fill(A,C)

32. If the equation of x3 ax2 + bx a has three real roots then the following istrue.(a) a = 1 (b) a 1 (c) b = 1 (d) b 1

Directions: For questions (33-35) graphs of some functions are given mark theoptions

(a) If f ( x ) = 3f (-x)


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(b) If f (x) = f (-x)(c) If f (x) = - f (- x)(d) If 3f ( x ) = 6 f (- x)

36. There are three books on table A which has to be moved to table B. The order ofthe book on Table A was 1, 2, 3, with book 1 at the bottom. The order of the book ontable 1 should be with book 2 on top and book 1 on bottom. Note (You can pick upthe books in the order they have arranged. You cant remove the books from themiddle of the stack)(a) 1 (b) 2 (c) 3 (d) 4

Directions: For questions (37 38)

There are five machines A, B, C, D, E arranged in a straight line with 10 m distancebetween adjacent machines a robot is waiting at the origin and is assigned the job totransport raw material from the origin from the machines for processing. A is nearestto the origin at a distance of 10 meters. Each of the machine sends a signal to therobot when it requires some raw material. The robot then carries the raw material tothe respective machines. How ever if any machine sends the signal when the robothas already left the origin then it will receive the signal only when it returns to theorigin. Speed of the robot is given as 10 m/s.

Machine A sends a signal in the 1st second

Machine B sends a signal in the 5th second

Machine D sends a signal in the 6th second

37. Now if machine E sends a signal in the 8th second then what is the distance thatthe robot has travelled just before the machine E sends the signal ?(a) 120 (b) 140 (c) 160 (d) 200

38. Now if the origin were at the other side 10 meter beyond E and the robot was atthe new origin in the beginning. The robot after delivering the raw material to any of

the machine goes to the origin which is nearest to him. Then what is the distancetravelled before it receives the signal sent by machine E.(a) 160 (b) 140 (c)180 (d) none of these

Directions: For questions (39 - 41):

Functions m & M are defined as follows:m(a, b, c) = min (a+b, c,a)M (a,b,c) = max (a+b,c,a)

39. If a = -2, b = -3 & c = 2 what is the maximum between[m(a,b,c)+M(a,b,c)] / 2& [m(a,b,c) M (a,b,c)] / 2

(a) 3/2 (b) 7/2 (c) 3/2 (d) 7/2

40. If a & b,c are negative, then what gives the minimum of a & b(a) m(a,b,c) (b) -M (-a, a,-b) (c) m(a+b,b,c) (d) none of these

41. What is m (M(a-b, b,c), m(a+b,c,b), -M (a,b,c) for a = 2 b = 4, c = 3?(a) 4 (b) 0 (c) 6 (d) 3

Directions: For questions (42- 43)F (x) = 1 / 1 + x if x is positive= 1 + x if x is negative or zerof n (x) = f ( f n 1 (x) )


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42. If x = 1, find f 1(x) f 2 (x) f 3 (x) f 4(x) .f 9(x)(a) 1/15 (b) 1/16 (c) 1/18 (d) 1/17

43. If x = -1 what will f 5 (x) be(a) 2/3 (b)1/2 (c) 3/5 (d) 4

44. There are eight sectors with areas S1, S2, S3, ----- S8 in a circle of radius 1 unit.the total areas of the seven sectors is p /8 units. The area of the sector is given bySj = 2(j 1) for j>1.What is the angle subtended by sector S1 at the centre ?(a) p /508 (b)p /1016 (c) p /2040 (d)p /127

45. 553 + 173 - 723 is divisible by(a) both 3 and 13(b) both 7 and 17(c) both 3 and 17(d) both 7 and 13

46. 100? x ? 200, such that x is divisible by 3 but not 7 and x is odd. The possiblenumber of values of x is,(a) 16 (b) 15 (c) 14 (d) 13

47. One red, three white and two blue flags are to be arranged in such a way that notwo flags of the same colour are adjacent and the flags at the two ends are ofdifferent colours. The number of ways in which this can be done is,(a) 6 (b) 8 (c) 4 (d) 12

48. a1 = 1 and an+1 = 2an + 5, for n being a natural number. The value of a100 is(a) 5x299 + 6 (b) 5x299 - 6 (c) 6x299 + 5 (d) 6x299 - 5

cat december 2001

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