XAT Paper Memory Based 2007

8/7/2019 XAT Paper Memory Based 2007

1/28

XAT- ACTUAL PAPER 2007 Page 1

XAT Actual Paper - 2007(Memory Based Questions)

QUANTITATIVE ABILITY

DIRECTIONS for Questions 1 to 4: Seven integers A, B, C, D, E, F and G are to be arranged in anincreasing order such that-A. First four numbers are in arithmetic progression.B. Last four numbers are in geometric progression.C. There exists one number between E and G.D. There exist no numbers between A and B.E. D is the smallest number and E is the greatest.

F.A G F

1D C A

= = >

G. E = 960

1. The common difference in the A. P. isa. 20 b. 22 c. 25 d. 30 e. None of these

2. D =a. 30 b. 25 c. 22 d. 20 e. None of these

3.E

A=

a. 2 b. 3 c. 4 d. 5 e. None of these

4. The position and value of A isa. 5th highest and 100 b. 4th highest and 100 c. 4th highest and 100d. 3rd highest and 180 e. None of these

DIRECTIONS for Questions 5 and 6: It is possible to arrange eight of the nine numbers 2, 3, 4, 5, 7, 10,11, 12, 13 in the vacant squares of the 3 by 4 array shown below so that the arithmetic average of thenumbers in each row and column is the same integer.

1 15

9

14

5. Which one of the nine numbers must be left out when completing the array?

a. 4 b. 5 c. 7 d. 10 e. 11

6. The arithmetic average is -a. 6 b. 7 c. 8 d. 9 e. 12

7. For which value of non-negative a will the system x2 y2 = 0, (x a)2 + y2 = 1 have exactly three realsolutions?

a. 2 b. 1 c. 2 d. 2 e. No such a exists.


2/28

XAT- ACTUAL PAPER 2007Page 2

8. Let {An} be a unique sequence of positive integers satisfying the following properties:

A1

= 1, A2

=2, A4

= 12.

and An+1.An1= An2

1 for n = 2, 3, 4 ...Then, A7is

a. 60 b. 120 c. 149 d. 169 e. 187

9. If the polynomial x3 + px + q has three distinct roots, then which of the following is a possible valueof p ?a. 1 b. 0 c. 1 d. 2 e. 3

10. In a certain factory, each day the expected number of accidents is related to the number of overtimehours by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8accidents reported, and on another day there were 400 overtime hours logged and 5 accidents.What are the expected numbers of accidents when no overtime hours are logged?a. 2 b. 3 c. 4 d. 5 e. None of these

DIRECTIONS for Questions 11 to 13: Each questions is followed by two statements labeled as (1) and(2). You have to decide if these statements are sufficient to conclusively answer the questions. Choosea. If statements (1) alone is sufficient to answer the question.b. If statement (2) alone is sufficient to answer the question.c. If statement (1) and statement (2) together are sufficient but neither of the two alone is sufficient to

answer the question.d. If either statement (1) or statement (2) alone is sufficient to answer the question.e. If both statement (1) and statement (2) together are insufficient to answer the question.

11. Five integers A, B, C, D, and E are arranged in such a way that there are two integers between Band C and B is not the greatest. There exists one integer between D and E and D is smaller than E.

A is not the smallest integer. Which one is the smallest?1. E is the greatest2. There exists no integer between B and E.

12. ABC is a triangle with B = 90. What is the length of the side AC?1. D is the midpoint of BC and E is the midpoint of AB.2. AD = 7 and CE = 5.

13. What is the maximum value of a/b?1. a, a + b and a + 2 b are three sides of a triangle.2. a and b both are positive.

14. Triangle ABC has vertices A (0, 0), B (0, 6) and C (9, 0). The points P and Q lie on side AC such thatAP = PQ = QC. Similarly, the points R and S lie on side AB such that AR = RS = SB. If the linesegments PB and RC intersect at X, then the slope of the line AX is

a.2

3b.

2

3c.

3

2d.

3

2e. None of these


3/28


15. ABCD is a rectangle. The points P and Q lie on AD and AB respectively. If the triangles PAQ, QBCand PCD all have the same area and BQ = 2 then AQ =

a. 1 5+ b.1 5 c. 7 d. 2 7 e. Not uniquely determined

DIRECTIONS for Questions 16 to 18: Substitute different digits (0, 1, 2,....9) for different letters in theproblem below, so that the corresponding addition is correct and it results in the maximum possible valueof MONEY.

P A Y

M ER E A L

M O N E Y

16. The letter Y should bea. 0 b. 2 c. 3 d. 7 e. None of the above

17. The resulting value MONEY is:a. 10364 b. 10563 c. 10978 d. 19627 e. None of the above

18. There are nine letters and ten digits. The digit that remains unutilized is:a. 4 b. 3 c. 2 d. 1 e. None of the above

DIRECTIONS for Questions 19 and 20: Let g be a function defined on the set of integers. Assume thatf satisfies the following properties:1. f(0) 0;

2. f(1) = 3; and3. f(x) f(y) = f(x + y) + f(x y) for all integers x and y.

19. f(7)a. 123 b. 322 c. 123 d. 1126 e. None of the above

20. f(3)a. 7 b. 18 c. 123 d. 322 e. None of the above

21. For how many integers n,n

20 n is the square of an integer?

a. 0 b. 1 c. 2 d. 3 e. 4


4/28


22. Which equation can be graphically represented as follows?

2 6 10 14 1826101418

20

20

20 20

a. 8x2 15y2 = 169 b. 9x2 16y2 = 144 c. |(x 8) (y 15)| = 12d. |(x 9) (y 16)| = 13 e. None of the above

DIRECTIONS for Questions 23 and 24: A truck traveled from town A to town B over several days. During

the first day, it covered1

pof the total distance, where p is a natural number. During the second day, it

traveled1

qof the remaining distance, where q is a natural number. During the third day, it traveled

1

pof the

distance remaining after the second day, and during the fourth day, 1q

of the distance remaining after third

day. By the end of the fourth day the truck and traveled3

4of the distance between A and B.

23. If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is _____kilometers.a. 25 b. 30 c. 33 d. 35 e. 40

24. The value of the sum of p and q isa. 4 b. 5 c. 6 d. 7 e. 8

25. ABC is a triangle with CAB = 15 ABC = 30. If M is the midpoint of AB then ACM =a. 15 b. 30 c. 45 d. 60 e. None of the above

26. Let p be any positive integer and 2x + p = 2y, p + y = x and x + y = z.For what value of p would x + y + z attain its maximum value?a. 0 b. 1 c. 2 d. 3 e. None of the above


5/28


27. Consider the system of linear equations2x + 3y + 4z = 16

4x + 4y + 5z = 26ax + by + cz = rFor r = 5 and a = 1 then the system of linear equation will have infinite number of solutions if c =

a.3

2b. 1 c.

1

2d. 0 e. None of the above

28. ABC is a triangle with BAC = 60. A point P lies on one-third of the way from B to C, and APbisects BAC, APC isa. 30 b. 45 c. 60 d. 90 e. 120

29. A management institute has six senior professors and four junior professors. Three professors areselected at random for a Government project. The probability that at least one of the junior professors

would get selected is:

a.5

6b.

2

3c.

1

5d.

1

6e. None of the above

30. We define a function f on the integers f(x) =x

10, if x is divisible by 10, and f(x) = x + 1 if x is not

divisible by 10. If A0=1994 and A

n + 1= f(A

n). What is the smallest n such that A

n= 2?

a. 9 b. 18 c. 128 d. 1993 d. Annever equals 2


6/28


DATA INTERPRETATION

DIRECTIONS for Questions 31 and 32: The graph given below contains data pertaining to number ofelectronic commerce transactions that have taken place in the last six months of the financial year 2005.This graph contains data related to private consumption and does not include corporate electronic commerceactivities. Numbers mentioned above the bar graphs are in millions and average price per unit is mentionedin the brackets.

Online Consumer Trends

37

3228 31

44

17

2422 21

2525

16

37

23 22

96

2116

20

0

10

20

30

40

50

Asia Pacific Europe North

America

Latin America South Africa

Regions

NumberofTransa

ctions

Books($5) Video/ DVDs / Games ($10)

Airlines Tickets / Reservation ($20) Clothing / Accessories / Shoes ($15)

31. If the airline ticket purchase made through internet increase by 20% and the average price of theairline ticket 25% then the net increase in revenues from the ecommerce activities world wide will be___________ percent of the corresponding pre-price- increase revenues.a. 18 b. 19 c. 20 d. 21 e. 22

32. For which product category is the revenue contribution of Asia Pacific region the maximum?a. Books

b. Video / DVDs / Gamesc. Airline Tickets / Reservation and Clothing / Accessories / Shoesd. Clothing / Accessories / shoese. Airline Tickets / Reservation


7/28


DIRECTIOSNS for Questions 33 and 34: Study the aggregate financial ratios of all registered Indianmanufacturing companies in the table below to answer the questions that follow:

2000 2001 2002 2003 2004 2005

PBDIT 13.1 11.7 12.3 13.3 14.4 14.7

PBDT 8.1 7.1 8 9.9 11.8 12.7

PBIT 9.4 8.4 8.7 9.9 11 11.6

PAT 3.2 2.8 2.7 4.4 6 6.9

Raw Material expense 41 40.6 43.1 45.5 45.7 47.1

Salaries and wages 5.9 5.7 5.6 5.3 4.9 4.4

Interest payments 4.6 4.3 4 3.1 2.3 1.7

Operating profit 5.2 4.2 4.9 6.7 8 8.7

Net sales (% Growth

Over Previous Year) 18.4 19.3 2.6 15.7 15.2 19.9

All figures are as % of net sales unless otherwise mentioned

33. In which year the annual growth rate in the aggregate Salaries and Wages expense was maximum?a. 2005 b. 2004 c. 2003 d. 2002 e. 2001

34. What is the annual growth rate in aggregate PAT of the Indian manufacturing companies in thefinancial year 2005 as compared to that in the financial year 2004?a. 15.0 Percent b. 5.7 Percent c. 88.6 Percent d. 37.9 Percent e. None of these

DIRECTIONS for Questions 35 to 39: Study the tables of the Indian foreign trade given below to answerthe questions.

Principal Commodities Export

COMMODITIES 2003-04 2004-05 2005-06

Plantations 0.92 0.78 0.71Agri & allied prdts 8.39 7.61 7.21marine Products 2.08 1.6 1.4

ores & minerals 3.69 5.29 6.02leather & mfrs. 3.19 2.89 2.56

gems & jewellery 16.56 17.29 15.13

sports goods 0.15 0.12 0.13Chemicals & related products 15.43 16 15.1

engineering goods 16.41 18.41 18.66

electronic goods 2.74 2.28 2.18project goods 0.09 0.06 0.13

Textiles 18.86 15.16 14.8

Handicrafts 0.7 0.43 0.4Carpets 0.9 0.75 0.81

Cotton raw incl. waste 0.28 0.1 0.61petroleum products 5.54 8.57 11.21

unclassified exports 4.07 2.66 0.94

GRAND TOTAL 100.00 100.00 100.00

Total Exports in Rupees Crore 293,366.75 375,339.53 454,799.97

US Dollar Exchange Rate 45.9513 44.9315 44.2735

Weight (%)


8/28


Principal Commodities' ImportCOMMODITIES 2003-2004 2004-2005 2005-2006

bulk imports 37.87 39.09 42.56

pearls, precious & semiprecious stones 9.25 8.8 6.42

Machinery 10.63 10 10.94Project goods 0.49 0.54 0.57

Others 41.76 41.57 39.51

TOTAL IMPORTS 100 100 100Total Imports (in Crores fo Rupees) 359,107.66 501,064.54 630,526.77

Weight (%)

35. Growth of trade imbalance (exports less imports) in dollar terms in the year 2005 - 06 as comparedto the previous year was:a. 39.77 b. 41.85 c. 91.24 d. 95.98 e. None of these

36. Given that the weight (%) of Petroleum crude & products in the total imports of India is 26.70, 27.87,and 30.87 in the years 2003 - 04, 2004-05, and 2005-06 respectively. What is the ratio of yearlydifference in the export of Petroleum Products and Import of Petroleum crude & products in dollarterms, in the year 2005-06 versus 2004-05?a. 1.36 b. 1.38 c. 1.46 d. 1.48 e. None of these

37. The three commodities which had highest export growth rate in the year 2004-05 as compared tothe previous year, arranged in descending order of growth rates are:a. Petroleum products, ores & minerals, engineering goodsb. Ores & minerals, gems& jewellery, chemicals & related products

c. Gems & jewellery, chemicals & related products, agri & allied productsd. Ores & minerals, chemical and related products, arri & allied products.e. Ores & minerals, engineering goods, chemicals & related products.

38. In the year 2005-06 the commodity which witnessed maximum growth in exports (in Indian Rupees)as compared to the year 2004-05 is:a. Petroleum products b. Project goods c. Ores & mineralsd. Sports goods e. None of these

39. In the two year period from 2004-2005 to 2005-2006, the average growth in import (in Indian Rupees)of which commodity to India was maximum?a. bulk imports b. pearls, precious & semi precious stonesc. machinery d. project goods

e. others


9/28


DIRECTIONS for Questions 40 to 43: Read the data below and choose the correct option for the questionsthat follow.

Queen Airlines offers the following Privilege program. There are 5 membership rises, each with its own setof enhanced tier-specific benefits. New members join at the Blue tier level, then upgrade to the Blue plus,with the added benefit of Tele check-in. The program also has three elite tiers-Silver Gold, and Platinum.The 6 months fast - track upgrade and the 12 months standard upgrade system operate in parallel implyingthat whenever a particular passengers satisfies conditions, either in terms of number of flights in thestipulated period or in terms of accumulated Queen-Miles in either of the two systems, they are automaticallyupgrade systems considered the data in rolling 6 months period. The same holds for the 12 months period.If conditions for more than one upgrade are satisfied, the passenger is given the higher of the two.

Tier Upgrade6-month Fast Track

Upgrade System12-month Standard

Upgrade System

Blue to Blue Plus 3/3,000 Not applicable

Blue Plus to Silver Not Applicable 5/12,500Silver to Gold 5/12,500 10/20,000

Gold to Platinum 10/20,000 20/30,000

Cummulative Queen Airways flights/Cummulative Status Queen-Miles

Blue Blue Plus Silver Gold Platinum

Tele Check -in Additional

baggage

allowance

10 kgs 20 kgs 35 kgs

Confirmed

upgrade

vouchers

1 3 5

Guaranteed

reservations up

to 24 hours

prior to

departure

Cancellation

fees waived on

published fares

Distance between cities in Queen-miles

Kolkata 1461

Mumbai 1407 1987

Hyderabad 1499 1516 711

Bangalore 2061 1881 998 562

Coimbatore 2401 2167 1265 902 340

Guwahati 1959 1081 2746 2370 2932 3209

Chennai 2095 1676 1329 688 331 491 2718

Delhi Kolkata Mumbai Hudrabad Banglore Chennai Ghy


10/28


Mr. kakkar, a newly recruited MBA from a business school, started his career with the start of theyear 2007. His travel plans for the year of 2007 is given below in the table.

Date From To2.1.2007 Mumbai Hydrabad

8.1.2007 Hydrabad Mumbai

3.2.2007 Mumbai Delhi

8.3.2007 Delhi Guwahati

20.3.2007 Guwahati Kolkatta

11.4.2007 Kolkatta Guwahati

30.4.2007 Guwahati Chennai

4.7.2007 Chennai Guwahati

20.7.2007 Guwahati Kolkatta

2.9.2007 Kolkatta Hydrabad11.9.2007 Hydrabad Guwahati

22.9.2007 Guwahati Delhi

1.10.2007 Chennai Banglore

11.10.2007 Guwahati Chennai

4.11.2007 Chennai Delhi

29.11.2007 Delhi Hydarabad

1.12.2007 Hydrabad Guwahati

31.12.2007 Guwahati Mumbai

40. The difference in complete calendar months, discounting any partial months, between the first tierupgrade and the last tier upgrade for Mr. Kakkar is:a. 7 b. 8 c. 9 d. 10 e. 11

41. In which month will Mr. Kakkar become eligible for guaranteed reservations up 24 hours prior todeparture?a. January b. February c. March d. April e. May

42. The number of complete calendar months, discounting any partial months, for which Mr. Kakkaravails the gold tier membership is:a. 7 b. 8 c. 9 d. 10 e. 11

43. If 6 months upgrade had not been in operation, then Mer. Kakkar would have reached Gold tier in themonths ofa. June b. July c. August d. September e. October


11/28


REASONING

Directions for questions 1 to 4: Choose the option that correctly un - scrambles the paragraphs below:1. 1. Individuals and firms moving a new and unfamiliar field of activity are increasingly using information

resources provided over the internet.2. The economic importance of a strong, viable business sector, especially a strong and viable

small business sector with its potential for employment and export generation, makes it imperativethat government agencies provide encouragement, leadership and effective support.

3. Governments undertake a wide variety of initiatives to achieve these ends and on-line informationprovision is one of many such initiatives.

4. The power of the internet to deliver information and services on-line offers an opportunity forgovernment to support businesses the economies they serve.

5. Many small to medium-size enterprises may turn initially to a governmental agency for businessrelated information, in part because they lack the confidence and financial resources to engage

private consultants at the initial stages of the planning process.6. This is an important issue, both for government economic development strategies and to help

them meet the rising public expectations of on-line service provision.a. 1 4 3 6 2 5 b. 4 6 2 3 1 5 c. 3 6 2 1 5 3d. 2 3 6 5 1 4 e. 5 4 6 2 3 1

2. 1. You could try friendly competition, or set yourself team targets and agree that youll all go out foran evening together if you meet them.

2. Presumably, your team members have the same problem, so perhaps you could find collectiveincentives.

3. Work towards targets of your own, or promise yourself a reward for certain achievements.4. Or aim towards promotion or earning new responsibilities as an incentive to keep you enthusiastic.5. Find ways to motivate yourself.6. Or simply make a point of congratulating each other on good work, even if the boss doesnt join

in.a. 1 4 2 6 3 5 b. 5 2 1 4 3 6 c 1 4 6 3 2 5d. 5 3 6 2 1 4 e. 5 3 4 2 1 6

3. 1. The same is true for less fraught examples: dispensing with Truth does meandispensing with accuracy and attention to detail, and to suggest for example that he colonizationof the New World never happened would be equally untenable.

2. To relinquish Truth and the idea of one history does not lead to absolute relativism, where anyversion of events is taken as being equally valid as any other.

3. It does not, for example, give succour to those charlatans and ideologues who seek to deny thatthe Holocaust ever happened.

4. What I am suggesting here is complex, but its importance demands a careful reading.5. The evidence for the systematic murder of more than six million people by the Naziz is overwhelming.6. To try to argue that it never occurred is to violate the voices of the past, to suppress that evidence

which goes against the twisted thesis.a. 2 3 5 6 1 4 b. 5 6 1 2 4 3 c. 4 2 3 5 6 1d. 2 4 5 3 6 1 e. 4 5 1 6 3 2


12/28


4. 1. Employees are seeing organizational leaders who appear to have only their personals interests insight.

2. All the while, these same leaders appear to be walking away from their failures with multimilliondollar exit bonuses or millions in forgiven loans.3. They are feeling increasingly expendable and disposable, all for the purpose of enriching CEOs

and top leaders.4. Workers are feeling less and less connected with top management.5. Some corporate leaders are simply losing touch.6. Those they lead me, understandably, losing confidence and trust in their leaders.a. 5 6 1 4 3 2 b. 1 2 4 3 5 6 c. 1 5 6 3 4 2d. 1 3 4 2 5 6 e. 1 3 5 6 2 4

5. Which revision bets combines ideas without losing out on information?There are still ample physical reminders of the history of the Ao tribe in Meghalaya, Impressiveburial mounds, dating back hundreds of years can be found along many of the rivers, for instance.

a. Impressive burial mounds, dating back hundreds of years can be found along many of the rivers,for instance; there are still ample physical reminders of the history of the Ao tribe in Meghalaya.

b. Since there are still ample physical reminders of the history of the Ao tribe in Meghalaya, impressiveburial mounds, dating back hundreds of years, can be found along many of the rivers, for instance.

c. Although impressive burial mounds, dating back hundreds of years, can be found along many ofthe rivers, for instance, there are still ample physical reminders of the history of the Ao tribe inMegahalya.

d. There are still ample physical remainders of the history of the Ao tribe in Megahalaya; impressiveburial mounds, dating back hundreds of years, can be found along ,any of the rivers, for instance.

e. Ample physical reminders - of the history of the Ao tribe in Megahalaya - including impressiveburial mounds dating back hundreds of years still exist along many of the rivers.

6. Choose the option that points out sentences (s) with grammatical error (s).

A. I love the man dancing on the table.B. I love the mans dancing on the table.C. In 1986 Elie Wiesel was named the ?Nobel Peace Prize recipient, an honour established by

Alfred Nobel.D. Neither of the recommendations works as well as we thought they would.E. Either the Minister or the Ministers wife will have to excuse themselves from the reception to

speak to the caterer.a. C and E b. A and D c. B and Ed. C and D e. D

7. Amongst the options below, choose the one which is correctly punctuated?a. Last Sunday, we went canoeing on the Brahmaputra river. You could see eagles high in the trees

above us.

b. While we were canoeing last Sunday on the Brahmaputra river, high in the trees above us, youcould see eagles.

c. We went canoeing last Sunday on the Brahamputrra river, and high in the trees above us, wecould see eagles.

d. High in the trees above, the eagles were looking down at you, as we canoed on the Brahamputrrariver last Sunday.

e. High above in the trees, eagles were looking at us, as we canoed on the Brahamaputra river lastSunday.


13/28


8. Choose the best revision of the following wordy sentence?It seems that the library board will meet tomorrow, as a matter of fact.

a. As a matter of fact, the library board will meet tomorrow.b. In fact, the library board will meet tomorrow.c. It is apparent that the library board will meet tomorrow.d. Library board will meet tomorrow.e. The library board will meet tomorrow.


14/28


REASONING AND DECISION MAKING ABILITY

Directions for questions 9 to 18: Each group of questions in this section is based on a set of conditions.In answering some of the questions, it may be useful to draw a rough diagram. Choose the response thatmost accurately and completely answers each question and blacken the corresponding space on youranswer sheet.

Krishnapurams town council has exactly three members: Arjun, Karn, Bhim. During one week, the councilmembers vote on exactly three bills: a recreation bill, a school bill, and a tax bill. Each council membervotes either for or against each bill. The following is known:

Each member of the council votes for at least one of the bills and against at least one of the bills.Exactly two members of the council votes for the recreation bill.Exactly one member of the council votes for the school bill.Exactly one member of the council votes for the tax bill.Arjun votes for the recreation bill and against the school bill.Karn votes against the recreation bill.Bhim votes against the tax bill.

9. If one of the members of the council votes against exactly the same bills as does another memberof the council, then which one of the following statements must be true?a. Arjun votes for the tax billb. Karn votes for the recreation bill.c. Karn votes against the school bill.d. Karn votes for exactly one bill.e. Bhim votes for exactly one bill.

10. If the set of members of the council who vote against the school bill are the only ones who also voteagainst the tax bill, then which one of the following statements must be true?a. Arjun votes for the tax bill.b. Karn votes for the recreation bill.c. Karn votes against the school bill.d. Bhim votes against the recreation bill.e. Bhim votes against the school bill.

11. If Karn votes for the tax bill, then which one of the following statements could be true?a. Arjun and Karn each vote for exactly one bill.b. Karn and Bhim each vote for exactly one bill.c. Arjun votes for exactly two bills.d. Karn votes for the recreation bill.

e. Bhim votes against the recreation bill.

12. If Karn votes for exactly two of the three bills, which one of the following statements must be true?a. Arjun votes for the tax bill.b. Karn votes for the recreation bill.c. Karn votes for the school bill.d. Karn votes against the tax bill.e. Bhim votes for the school bill.


15/28


13. Which one of the following statements could be true?a. Arjun and Karn vote the same way on the tax bill.

b. Karn and Bhim vote the same way on the recreation bill.c. Karn and Bhim vote the same way on the school bill.d. Arjun votes for one of the bills and Karn votes for two of the bills.e. Arjun votes for two of the bills and Karn votes for two of the bills.

Directions for questions 14 to 18: A company launches eight products Q, R, S, T, V, W, Y and Z inone of the four metros of India. The products were launched one after the other over a period of six monthsin 2006. The order in which the products were launched is consistent with the following conditions:

V is launched before Y and QQ gets launched after ZT gets launched before V but after RS gets launched after V

R gets launched before W.

14. If R is the second product to be launched, which one of the following MUST be true?a. S gets launched some time before T.b. T gets launched some time before W.c. W gets launched some time before V.d. Y gets launched some time before Q.e. Z gets launched some time before W.

15. If Q is the fifth product to be launched, then each of the following could be true EXCEPT:a. Z is the first product to be launched.b. T is the second product to be launched.

c. V is the third product to be launched.d. W is the fourth product to be launched.e. Y is the sixth product to be launched.

16. Which one of the following could be true?a. Y is the second product to be launched.b. R is the third product to be launched.c. Q is the fourth product to be launched.d. S is the fifth product to be launched.e. V is the sixth product to be launched.

17. Is Z is the seventh product to be launched, then which one of the following could be true?a. W is the fifth product to be launched.b. T is the fourth product to be launched.c. R is the second product to be launched.d. V is the sixth product to be launched.e. Y is the eight product to be launched.


16/28


18. If V gets launched before Z does, then which one of the following COULD be true?a. R is the second product to be launched.

b. T is the fourth product to be launched.c. Q is the fourth product to be launched.d. V is the fifth product to be launched.e. Z is the sixth product to be launched.

19. Mr. Basu, the managing director of XYZ company asked five persons Asit, Barun, Chandra, Dannyand Eshita about their interest in a new project. The replies he got were:Asit: None of us interested.Barun: One of us is interested.Chandra: Two of us are interested.Danny: Three of us are interested.Eshita: Four of us are interested.From his experience, Mr. Basu knows that those who are interested only tell the truth and other lie.

How many of them are interested in the new project?a. 4 b. 3 c. 2 d. 1 e. 0

20. Five persons A, B, C, D and E are either guards or thieves. The guards always tell the truth,whereas thieves always lie. A claims that B is a guard. B claims that C is a thief. C claims that D isa thief. E claims that A is a guard. D claims that B and E are different kinds. The number of thievesisa. 1 b. 2 c. 3 d. 4 e. 5

Directions for questions 21 to 35: Each group of questions in this section is based on a decision-makingsituation that is described. Attempt the questions that follow and blacken the corresponding space on youranswer sheet.

Directions for questions 21 to 24:For each question, an answer (A) and a reason (R) has been given. Base your analysis on the informationpresented in the passage. MarkA. if both A and R are based on information given in the passage and R is the correct explanation of A.B. if both A and R are based on information given in the passage but R is not the correct explanation of

A.C. if A is based on information given in the passage but R is not based on the facts given.D. if A is not based on information given in the passage but R is based on the information given in the

passage.E. if both A and R are not based on information given in the passage.

The Society for Education in India (in short SEI) had been engaged in running primary schools in differentparts of the country since 1950s. While attending a conference on employee selection, Mr. J Mehta, a

senior member of the society learned that a leading school had recently employed a psychologist toperform employment functions, i.e., recruitment and selection of teachers. Within two months of his return,Mr. J Mehta contacted a reputed university and employed a graduating psychologist, Mr. Bibek Gupta.

Mr. Bibek Gupta was employed by SEI with the single directive that he was to contribute to the selectionof teachers. This task had previously been the prerogative of principals of each school. Mr. Gupta immediatelynotified each principal that in the future he was to be notified of the personnel needs and in return he wouldrecruit, screen and select the teachers.


17/28


At the end of his first year, with SEI, Mr. Gupta realized that his efforts had resulted in failure. During hisfirst few months he encountered much opposition from several principals who had been managing schools

for ten or more years. They did not believe in newer psychological techniques and preferred selectingpeople based on their own assessment. Other principals frequently refused to accept the teachers selectedby Mr. Gupta. Finally, Mr. Gupta began to notice fewer and fewer principals notifying him of vacancies intheir schools. Realizing that he was not making any effective contribution, Mr. Gupta submitted the suggestionto the society members that support and co-operation of the school principals should be a matter ofexecutive order, or else his resignation should be considered.

21. What responsibilities were shouldered by Mr. Bibek in his first year of employment?A: Mr. Bibek had the responsibility of contributing his expertise to recruitment and selection of

teachers.B: The board members wanted to systematize the recruitment and selection of the entire organization.

22. At the end of his first year with SEI, Mr. Gupta realized that his efforts had resulted in failure. Was

Mr. Bibeks self-assessment justified?A: Yes, since the selection of teachers continued to be done as it was being done earlier.R: He was placed in a situation where the concerned persons refused to consult him regarding his

expertise. Hence his impact was dependent on co-operation by others.

23. How were the changes in the recruitment and selection process received by the principals?A: The principals rejected the new process in its entirely from the day it was introduced.R: The principals were cynical of the abilities of the psychologists as far as recruitment and selection

of teachers were concerned.

24. What was the flaw in the decision of selecting a psychologist for selecting teachers that led to thefinal situation?

A: Mr. Mehtas decision was predominantly driven by the information about another school that hadenlisted the services of a psychologist for recruitment and selection.

R: Both the administration of the school and managing teachers have been primary responsibilitiesof the principal of the school.

Directions for questions 25 to 27:Sayan, a recent MBA graduate with specialization in sales and marketing, applied for the position of salesmanager in a firm producing industrial fabrication tools. The management of the company took pride in itsnon-discriminatory recruitment policy. In offering Sayan the position, the management made it clear thatan indispensable feature of the job involved entertaining purchasing agents and that a certain amount ofsocial drinking was necessary. Sayan assured them that he was a moderate drinker with no moral orreligious prejudices against drinking.

During the following two years Sayan became a successful manager and no two occasions receivedawards for achieving the highest sales for the quarter. However, he found that he was encountering aproblem resulting from the necessity of entertaining customers at least two or three times a week. Theproblem was that he felt that he was becoming an alcoholic, since he had recently been overindulging evenwhen not entertaining customers. The problem became progressively worse until he found himself in aconstantly inebriated condition and unable to work without resorting to drinking at work.


18/28


On reporting about his problem to the management, Sayan was sent at company expense to an alcoholicrehabilitation centre, from which he was discharged after six weeks of rest and recuperation. However,

within two months of resuming duties, Sayan was arrested in a local pub and charged with drunkennessand assault. The victim of his assault was a customer whom he had taken to the pub to discuss a sale.

The management viewed the incident extremely negatively and fired Sayan. Shortly thereafter, a lawyerrepresenting Sayan informed the management that Sayan intended to bring legal action against thecompany. Sayan felt the company was liable since his alcoholism was a result of his employment. Hecontended that drinking was a requirement of his job, and therefore alcoholism represented an occupationalhazard. The management decided to form a committee to discuss the matter and recommend a course ofaction. The course of action should be such so as to prevent a recurrence of such a situation.

25. As the management decides this situation, it also has to appoint a replacement for Sayan. Themanagement is exploring following options so that such a fiasco is not repeated:1. Do not go to business schools. Hire an experienced sales manager from the market, and attract

him or her by offering a higher remuneration package.2. State the requirements of job, including the necessity of social drinking, explicitly in the

employment offer letter. A signed copy of the employment offer letter would indicate that theemployee has accepted the terms of the employment with completer knowledge of job-details.

3. Social drinking does not imply that a person has to drink excessively. Therefore select onlymature persons, those who are high in self-esteem, who do not give in to social pressures andwho know how to exert self-control.

4. Provide guidance to all sales managers both experienced as well as newly appointed on howto behave during social occasions. This will be helpful to those who are otherwise moderatedrinkers, but end up drinking beyond their capacity because of suggestions by peers and friends.

5. Test for the validity of claims of being moderate drinkers during the selection process itself. Thiswill screen out persons who only claim to be drinkers but to obtain the job.

From managements point of view, the options in the descending order of ease of implementationwould bea. 1 + 2, 3, 4 + 5 b. 3 + 4, 2 + 5, 1 + 5 c. 3 + 5, 2 + 4, 2 + 5d. 2 + 5. 2 + 4, 1 + 2 e. 1 + 2, 2 + 4, 2 + 5

26. Assuming that the management has no constraints in implementing changes in policy, the followingpossible recommendations can be made confidently about the companys recruitment and selectionpolicy.1. All that is required to sell the product is to entertain the purchase officers. The company should

predominately be hiring college graduates, that too those who know how to interact socially.2. The firm would be better-off by hiring sales managers from the market rather than those fresh out

of business schools.3. The firm should have only one sales manager. The sales manager should know about the technical

details of the product and its pricing and should have the authority to offer price discounts toclients. At the next level, the firm should have a team of sales representatives, who would beresponsible for developing contacts, and reporting back to the sales manager for follow-up.

4. The firm should have an intense induction period where the newly appointed employees aretrained in managerial aspects of the job and provided training in social skills, including how tomanage drinks.


19/28


5. People passing out of MBA colleges and without work-experience are as good as high schoolkids. The firm should avoid them at all costs as they would often end up as a liability to the firm.

The option that makes good business sense and represents the choices for the management inincreasing order of alignment with respect to its policy of non-discrimination are:a. 1, 2, 3, 5 b. 1, 3, 2, 4 c. 1, 5, 3, 4d. 1, 3, 5, 4 e. 1, 2, 5, 4

27. From Sayans perspective, which option allows him to salvage his career prospects?A. Make an offer to withdraw the case in return for a job back in the company. Thus the company

would be saved from any protracted legal battle in the Indian legal system and Sayan would begainfully employed.

B. Ask for a job in manufacturing since it does not involve drinking. He had proved his competencewhile being a sales manager, and he can prove his competence in manufacturing also.

C. Obtain documentation from the firm that highlights his performance and experience, abstain

from legal action against the firm, have a settlement outside the legal system and take a job ina totally different company.

D. Obtain documentation from the company that reflect his performance on the job. Ask for helpfrom the management in getting a job in the sister concern of the firm.

E. Proceed with the court case. There is a possibility of his winning a substantial compensation.After that he can start for a new job.

Directions for questions 28 to 30:The year 2004 was a great year for Top-Cloth cotton mill. Manufacturing towels for the export marketemploying more than 2000 workers, the company had an impressive growth in sales and profits. TheChairman felt that employees were entitled to a share in the profits and it was proposed that the employeemess be air-conditioned. The proposal was discussed in a meeting that was attended by, among other

senior officials, the marketing director, the personnel director and the finance director. The proposal wasbased on the fact that he shop floor of the mill often had temperatures in excess of 40C with a relativehumidity of 99%. The air-conditioned mess would represent managements appreciation of the employeeshard work.

At the end of 2005, management reviewed the mills performance. Profits were higher, and employeesattrition was negligible. Chairman decided that employees deserved additional recognition for their finework. Since the mess had already been air-conditioned, the chairman wanted to know if the employeesappreciated this sort of action. In the course of discussion the chairman asked the personnel director tosend a questionnaire to a sample of fifty employees and obtain their reaction to the air-conditioned mess.The management agreed to decide only after obtaining the feedback from the employees.

The personnel director mailed a simple form to fifty employees asked them for the following information:Please state your reaction to the air-conditioned mess.:


20/28


Of the fifty forms mailed, forty-six were returned. The answers received were as follows:Reaction Frequency

I did not know it was air-conditioned. 16I never eat there 8If management can spend money likethat, they should pay us more 6I wish the entire mill was air-conditioned. 8The mess is for management employees. 4It is OK. 2Miscellaneous comments 2

28. This decision making situation best highlightsa. managerial short-sightedness in decision makingb. managerial benevolence in sharing profits among the workersc. managerial incompetence in handling a negative feedback in employee survey

d. inefficient infrastructure managemente. None of the above

29. The main conclusion(s) about the personnel director that emerge(s) from this situation is(are):1. The personnel director did not have the competence to manage an employee feedback survey,

and should have been given the task to a professional consultant.2. The personnel director was responsible for employees reactions.3. The personnel director had failed in his duty of maintaining constant touch with employees.4. The cost of air-conditioning is a waste, since its beneficiaries did not feel any benefits.a. 2 only b. 3 only c. 4 onlyd. 1, 3 and 4 e. 1, 2, 3 and 4

30. Management to Top-Cloth cotton mill considers itself to be socially conscious and its decisions areoften re-examined for their social relevance and the impact on society. In view of this consideration,what could have been considered before deciding on profit sharing?1. communicating managements intentions via employee newsletters.2. taking employees inputs in designing the cafeterias interiors and installation of air-conditioning3. considering employees views on different ways of sharing excess profits4. investing in capacity expansion to take care of the booming export market5. dividing the profits equally among the workers and shareholders.

The options in decreasing order of their impact on societya. 2, 3, 5, 4, 1 b. 4, 5, 3, 2, 1 c. 3, 2, 3, 4, 5d. 1, 2, 3, 4, 5 e. 5, 4, 3, 2, 1


21/28


22/28


33. Rams younger brother Shyam gets to know of Rams travel plans and wants to come along. Asagainst his brother, Shyam enjoys scenery enroute and wants Ram to maximize the travel time. To

do so, the itinerary that Ram should decide upon is:I. Delhi Bharatpur by train; Bharatpur to Jodhpur by bus, Jodhpur to Jaipur by bus; Jaipur toAjmer by bus.

II. Delhi Bharatpur by bus; Bharatpur to Jodhpur by bus, Jodhpur to Jaipur by taxi; Jaipur to Ajmerby taxi

III. Delhi Bharatpur by bus; Bharatpur to Jodhpur by bus, Jodhpur to Jaipur by bus; Jaipur to Ajmerby bus

IV. Delhi Bharatpur by taxi; Bharatpur to Jodhpur by bus, Jodhpur to Jaipur by taxi; Jaipur to Ajmerby bus

V. Delhi Bharatpur by taxi; Bharatpur to Jodhpur by taxi, Jodhpur to Jaipur by taxi; Jaipur to Ajmerby taxi

a. I b. I, II c. I, II and IIId. I, II, III and IV e. I, II, III, IV and V

Rams statistically-oriented friend Rocky disagrees that Ram should use only a single criterion for decisionmaking. Decision making has to incorporate all the criteria together. Thats what makes for a sounddecision. Rocky gave his advice in most sagacious tone.

How does one do that? asked Ram. Simple. All you need to go is give weight to the criteria and multiplythe value of each criterion by its weight and then sum all the products for each option Rocky answered.

Looking at the lost look on Rams face, Rocky gave an example For each of the option there are twocriteria probability of not making it to the wedding and travel time. [The probability of not reaching on time= 1 the probability of reaching on time] Suppose you hate the possibility of not making it to the weddingdespite your best efforts. Then your time and money is wasted. So lets give that criterion a weight of 80%.

Moreover you also want to minimise the travel time. Let it have a weight of 20%. Therefore for each optionyou can sum the product of the value of respective criteria with its weight and compare the sums for eachof the options. Choose the option with the lowest total.

So simple? asked Ram.

Well, it is .... for starter admitted Rocky.


23/28

XAT - ACTUAL PAPER 2007 Page 11

Answersand Explanations1. d As per the condition giver in the question, following

combination are possible, i.e.(i) DABCGFE(ii) DBACGFE(iii) DCBAGFE(iv) DCABGFESince it is given that the greatest term is 960, that is E

andA F F

1D C A

= = > , we can assume that the common

ratio is 2 and check the feasibility. Therefore

E = 960, F = 480, G = 240Also, it can easily observed that DCBAGFE is the onlycombination satisfying the condition. Now other valueswill beA = 120, B = 90, C = 60, D = 30Now since none of the above values are against thecondition given, the sequence will be

30 60 90 120 240 480 960

(D) (C) (B) (A) (G) (F) (E)

HenceOption d is the correct answer.

2. a

3. e

4. e

For questions 5 and 6:5. d There is no hard and fast rule for solving these kind of

question. The only points to be considered are asfollows(i) Every row has summation being multiple of 4(ii) Every column sums up to be multiple of 3(iii) First row, already has the number 15, the largestnumber. Hence, the blank boxes should contain theminimum possible number.Keeping in mind the above points, the completearrangement is as follows.

1 13 3 15

11 9 7 5

12 2 14 4

Observe that rows sum up to 32 and column sum upto 24.

5. d

6. c

7. b Given thatx2 y2 = 0 ... (i)(x a)2 + y2 = 1 ... (ii)Solving (i) and (ii), we get-

x =2a 2 a

2

Now for all the real values of x

22 a 0 or 2 a 2

For non-negative values of a we have o a 2 Now, when we put a = 1, we getx = 2, 0. y = 2, 2, 0.Hence we get- exactly three real solutions (2, 2),

(2, 2) and (0, 0) ( )y x= 3 .

8. d Putting n = 2 in the equation An+1

An1

= 2nA 1, we

get.

23 1 2A A A 1=

2

32 1

A 3,51

= =

Putting n = 3.

24 2 3A A A 1=

2 2

43 1 5 1

A or2 2

=

But, A4

= 12, Therefore A3

= 5Now putting n = 4, 5, 6 similarly as in above equation

we get

26

75

A 1 4901A 169

A 29

= = = .

9. a Given polynomial isx3 + px + q = 0 ...(i)Now let a, b, c be three distinct roots of above equation.So we can write-a + b + c = 0ab + bc + ca = pabc = qAlso, we can write here,Squring on both sides, we get(a2 + b2 + c2) = (a + b + c)2 2 (ab + bc ac)

(a2 + b2 + c2) = 2pHere L. H. S cannot be negative as it is the sum ofsquares. So p has to be negative which is option (a)only.


24/28

Page 12 XAT - ACTUAL PAPER 2007

10. b Let the expected number of accidents be A andnumber of overtime hours be TAs expected number. of accidents and number of

overtime hours are related by a linear equation, wecan write hereA = K + K

1(T)

Now,8 = K + K

1(1000) ... (i)

5 = K + K1

(400) ... (ii)

Solving (i) and (ii) we get 11

K 3,K200

= =

Hence,

( )1

A 3 0200

= +

A = 3.

11. c From the given, three different arrangements arepossible.case (i) DBEACcase (ii) BADCEcase (iii) CADBEFrom statement (1), either case (ii) or case (iii) couldbe valid so we cannot answer which one is thesmallest.From statement (2), either case (i) or case (ii) ispossible.If we combine the two statements; only case (iii) ispossible. Hence (c) is correct option.

12. c A

B CD

E

yx

y

x

Neither statement (i) nor (ii) alone is sufficient todetermine the length of side AC.But when statement (i) and (ii) are combined, value ofAC can be determined.As per the diagram abovex2 + 4y2 = 49 ...(i)4x2 + y2 = 25 ...(ii)Solving (i) and (ii) we can determine the value of4 (x2 + y2) = AC2. Hence (c) is correct.

13. e Since b is the common difference of three sides of a

triangle,a

bcan take any values in the given range of

real; numbers.Suppose a = 1000b = 1Then there sides will be 1000, 1001, 1002

Herea 1000

1000b 1

= =

So the values of a and b can be varied to any values

making the ratioa

ba variable or undeterminable.

14. a

A

B

C

S

R

P Q

x

y

x

(0, 6)

(0, 4)

(0, 2)

(0, 0)(3 , 0 ) (6 , 0 ) (9 , 0 )

From the above diagramEquation of line PB:

y = 2x + 6 ...(i) ( )2 1

1 12 1

y yy y x x

x x

= 3

Equation of line CR:

2y x 2

9= + ...(ii)

Solving equation (i) and (ii) for the co-ordinates of

point X, we get9 3

x ,4 2

=

Now slope of AX is2 1

2 1

3 0 y y22 m

9 3 x x 04

=

3

15. a

A B

CD

P

Qx

x+ 2

2

Let AQ be x and area of triangles PAQ, QBC and PCDbe ANo w

12 BC A BC A

2 = = ...(i)

Similarly in PDC

( )1 2A

PD x 2 A PD2 x 2

+ = =+

...(ii)

Also in PAQ

2AAP x= ...(iii)

Now AD = PD + PAor,

2A 2AA

x 2 x= +

+

Solving above equations, we get x 1 5= As x cannot be negative.

x 1 5 = + .


25/28


For questions 16 and 18:This question is a hit and trial based question withlittle application of logic. Observe that-

(i) Summation of E and L must give zero in the end sothat y comes as it is in the fourth row. (E + L = 10)(ii) Rest all is hit and trialThe correct assignment of digits is

7 2 5

1 6

9 6 2 4

1 0 3 6 5

Hence, Option (e) is the correct answer.

16. e

17. e

18. e

19. c Given thatf(i) = 3f(x) f(y) = f(x+y) + f(xy)Putting x = 0, y = 0, we get

f(o)2 = 2f(0) f(0) = 2Putting x=1, y = 1, we get

f2(1) = f(2) + 2 ( )( )f 0 2=3

( )f 2 7 =Similarly f(3) = 18 and f(4) = 47Now putting x = 4, x = 3f(4) f(3) = f(7) + f(1)

f(7) = 843

Therefore, option (c) is the correct answer.

20. b

21. e For n = 0, 10, 16, 18 the expressionn

20nis the

square for an integer.Therefore the correct option is (e).

22. b According to the graph at y = 0, x should be 4.Option (b) satisfies this condition.

23. a According to the statement of the question

( )p 1 q 1 p 1 q 1 1p q p q 4

=

or 2(p1) (q1) = pqor (p 2) (q 2) = 2.Hence, p 2 = 2 and q 2 = 1

p = 4 & q = 3or p 2 = 1 and q 2 = 2

p = 3 & q = 4Which gives p = 3, 4 and q = 3, 4

Minimum distance is covered when p = 4, i.e.

1100 25

4 =

Also in each of the above casesp + q = 7.

24. d

25. b A

B C

M

x

y

30

15

165

135

x

Applying since rule to ABC

y 2x

sin30 sin135=

...(i)

Also

( )

y x

sin 165 sin=

...(ii)

or ( )sin 165 2sin =

= 30Hence option (b) is the correct answer.

26. a

27. c Given equation are2x + 3y + 4z = 16 ...(i)4x + 4y + 5z = 26 ...(ii)ax + by + cz = r ...(iii)Also given that a = 1 and r = 5. Subtracting (i) from (ii),we get 2x + y + z = 10 ...(iv)x + by + cz = 5. ...(v)Now for above two lines to have infinite solution

2 1 1 10

1 b c 5= = =

1b c

2 = =

Hence option (c) is correct


26/28


28. eA

B C

30

120

30

2yy

3

2xx3

P

From angle bisector theorem

BP AB 1

PC AC 2= =

3yx ysin .

sin60 sin 2x= =

Now y 3 1Area or ab sin2x 2

= =

Also applying cosine rule to the ABC

( )22 2

2

y 2y xCos 60 3y x

4y

+ = = ...(ii)

Putting his value of y in (i) we get

= 30

Therefore APC 120 = .

29. a Total number of cases 10 3C

Favorable (required) case = 10 63 3C C

The required probability

10 63 3

103

C C

C=

5

6=

Hence option a is the correct answer.

30. a It is clear with the definition of given function that if

given x is divisible by 10, Then ( )x

f x10

= Also

increment of 1 will be given to x, i.e. f(x) = x + 1Now,

f(1994) = 1995( )

1994 is not divisible by103

.

.

.

.f(2000) = 200f(200) = 20f(20) = 2So in all 9 steps required to get A

n= 2.

n 9 = .

For questions 31 and 32:31. d The revenues from the e - commerce activities, world

wide

= 5 (37 + 32 + 28 + 31 +44) + 10 (17 + 24 + 22 + 21+ 25) + 20 (25 + 21 + 16 + 16 + 37) + 15 (20 + 23 +22 + 9 + 6)= (860 + 1090 + 2300 +1200)= 5450 million dollars.The total number of e - commerce transactions madefor airline ticket purchase= (25 + 21 + 16 + 16 + 37) = 115 millionafter 20% increase: = 115 1.20 = 138 million dollarsThe new average price = 20 1.25 = 25 $

net increase in the worldwide e - commercerevenues= (138 25 115 20) million dollar= 1150 million dollars

The required percentage =1150

100

5450

= 21.1%

21% Option (d) is correct.

32. e The revenue contribution of the Asia Pacific region,for the four product categories is:-Books = 37 5 = 185 Mn $Videos/DVDs/Games = 17 10 = 170 Mn $Airline Tickets/ Reservation = 25 20 = 500 Mn $Clothings/Accessories/shoes =20 15 = 300 Mn $Definitely (e) is the correct option.

For questions 33 and 34: Let the net sales, in the year 2000be 100. Hence, the net sales values in the after years are:

YEAR NET SALES

2000 100

2001 119.3

2002 122.4

2003 141.6

2004 163.1

2005 195.6

33. e The absolute values of the aggregate salaries andwages expenses are, year wise given as :-

YEAR SALERIS & WAGES

2000 5.9

2001 6.82002 6.85

2003 7.5

2004 7.99

2005 8.6

The maximum growth rate has been in the year 2001when it increased to 6.80; from a previous value of5.90.Hence (e) is correct.


27/28


34. d The absolute value of the aggregate PAT are

In 2005 : 195.6 6.9

100

= 13.49

& In 2004 163.1 6 9.78100

=

The annual growth rate

=13.49 9.78

1009.78

= 37.9%

Option (d) is correct.

For questions 35 to 39:35. a Trade imbalance in 2005 - 06 is given by

(630526.77) 454799.97 = 175726.80 crore rupees& trade imbalance in the years 2004 - 05 is given by(501064.54 375339.53) = 125725.01 crore rupeesthe growth in the trade imbalance is:-

( )175726.80 125725.01100

125725.01 = 39.77

Hence answer is (a).

36. e In the year 2005 - 06export of petroleum products = 0.1121 454799.97 =50983.08 crore rupees.& import of petroleum crude and products = 0.3087 63.526.77 = 194643.61 crore rupees.

yearly difference = (50983.08 194643.61) =143660.53 crore rupees.In the year 2004 - 05export of petroleum products = 0.0857 375339.53 =32166.59 crore rupees& import of petroleum crude and products = 0.2787

501064.54 = 139646.68 crore rupees yearly difference = (32166.59 139646.68) =107480.09 crore rupees.

the ratio =yearly difference in 2005 06

yearly differencein 2004 05

=143660.53

1.336107480.09

=

(e) is the correct answer.

37. a The options discuss, 6 different commodities. Theirexport values in year 2003 - 04 and 2004 - 05 aregiven below. The last column shows the growth rate

over the previous year.

2003 - 04 2004 -05

Petroleum products 16252.517 32166.59 1.97

Ores and Minerals 10825.233 19855.46 1.83

Engineering Goods 48141.48 69100 1.43

Gems and Jewellery 48581.53 64896.2 1.33

Chemicals and related

products45266.48 60054.32 1.32

Agri and Allied Products 24613.47 28563.33 1.16

Expert valuesCommodities

Growth

Rate

Clearly, option (a) has the correct descending order.

38. Growth exports = [(Weight percentage of 2005 - 06) (Total Exports value of 2005 - 06)] [(Weightpercentage of 2004 - 05) (Total Exports value of2004 - 05)]The growth for Petroleum products| has been themaximum and is given below.

11.21 8.57454799.97 375339.53

100 100

= 18816 crores rupees.

39. Average growth of import

[Export value in 2005-06) (Export value in 2004 - 05)]

+[(Export value in 2005 - 05) (Export value in 2003-04)]

2=

(Exportvalue in 2005 06) (Export valuein 2003 04)

2

=

bulk export has the maximum value of this as

0.4256 630526.77 0.3787 359107.66

2

= 66179.06 crore rupees.

For questions 40 and 43:40. d The first tier upgrade corresponds to Blue to Blue

Plus and the last tier upgrade is Gold to Platium.A passenger gets the first tier upgrade when he fulfillseither of the following two conditions:

(i) He completes 3000 Queen Miles within the first 6months of the first flight.(ii) He makes 3 journeys, within the first 6 months ofthe first flight.

A passenger gets the last tier upgrade when he fulfillsany of the following conditions:


28/28


(i) He completes 3000 Queen Miles within the first 6months of the first flight.(ii) He makes 10 journeys, within the first 6 months of

the first flight.(iii) He completes 20 journeys, within the first 6 monthsof the first flight.(iv) He completes 30000 Queen Miles within the first12 months of the first flightHence, Mr. Kakkar gets his first tier upgrade on3.02.2007 and his last tier upgrade on 31.12.2007.The difference is 10 Months and 29 days. Discountingthe partial month (the extra 29 days) the difference isof 10 months. Hence (d) is the correct answer.

41. c To avail this benefit, the passenger should at least bea Gold member. On 30.3.2007, he makes his 5th journey.This makes him eligible for Blue plus to Si lver upgradeunder the 12- month system. On the other hand, underthe 6 month fast track system, he becomes eligible for

Silver to Gold Upgrade, which is higher. Hence on20.3.2007 his membership is upgraded to Gold and hebecomes eligible for guaranteed reservations up to 24hours prior to departure. Hence the correct answer is(c).

42. c Mr. Kakkar becomes a Gold member on 20.3.2007 andhe becomes a Platinum member on 31.12.2007. Hencehe enjoys the Gold membership for 9 months,discounting an partial months.

43. d Had there been no 6 month system, then Mr. Kakkarmembership, after completing 20,000 Queen Miles

which happens in the month of September.

XAT Paper Memory Based 2007

Documents

Transcript of XAT Paper Memory Based 2007