Practice Question Set on Data Interpretation_Logical Reasoning for CMAT 2012

21
2/ 14/ 12 Pra ct ice Qu est io n Se t on Da ta In te rpre ta ti on /L og ical reaso ni ng for CMAT 20 12 1/21  jagranjosh.com//practice-question-set-on-data-interpretationlogical-reasoning-for-cmat-2012-132 Home  Articles Practice Question Set on Data Interpretation/Logical reasoning for CMAT 2012  Caegoie Paci ce Qe ion Se on Daa Inepeaion/Logical eaoning fo CMAT 2012  Articl e Category : CMAT Question Papers Model Papers , Common Management Admission Test (CMAT) , MBA Share The Question Bank on Data Interpretation/Logical reasoning prepared for CMAT will help you test your knowledge on the subject matter thoroughly.  Data Interpretat ion/Logical rea soning Directions for questions (1 to 4) : Answer these Questions on the basis of the information given below:  Venkat, a stockbroker, i nvested a part o f his money in the stock of fo ur compani es - A, B, C and D. Each of these companies belonged to different industries, viz., Cement, Information Technology (IT), Auto, and Steel, in no particular order. At the-time of investment, the price of each stock was Rs 100. Venkat purchased only one stock of each of these companies. He was expecting returns of 20%, 10%, 30% and 40% from the stock of companies A, B, C and D, respectively. Returns are defined as the change in the value ofthe stock after one year, expressed as a percentage o f the initial value. During the year, two of these companies announced extraordinarily good results. One of these two companies belonged to the Cement or the IT industry, while the other one belonged to either the Steel or the Auto industry. As a result, the returns on the stocks of these two companies were higher than the initially expected returns. For the company belonging to the Cement or the IT industry with extraordinarily good results, the returns were twice that of the initially expected returns. For the company belonging to the Steel or[ the Auto industry, the returns on announcement of extraordinarily good results were only one and a halftimes that of the ini tial ly expecte d ret urns . For the remaini ng t wo compani es. Which do not announce extraordinarily good results, the returns realized during the year were the same as initially expected. 1. What is the minimum average return Venkat would have earned during the  year? (a) 30% (b) 31 Y4% (c) 32 1/2% (d) Cannot be determined 2. If Venkat earned a 35% return on average during the year, then which of these statements would necessarily be true? I. Company A belonged either to Aut o or t o St eel Industry. II. Company B did not announce extraordinarily good results. III. Company A announced extraordinarily good results. Iv. Company D did not announce extraordinarily good results.  JaganJoh Fill these details and be amon get access to exclusive materi Name Location Indi Sta Date of Birth Date Mon Mobile Sex Mal e Fe Email Receive NewsLetter Y es No Course Interested in MBA/MGMT MCA  Science Arts Commerce Other Competitive Exams Civil Services (IAS) Bank Exams (Bank PO, Bank Cler UPSC Ex ams Engineering Entrance Exams Medical Entrance Exams Management Entrance Exams Law Entrance Exams Other Submit Qicklinks: IBPS Recruitment 2012, UPSC, Bank Jobs, CMAT 2012, Current Affairs Qui, Civil Services , CWE, SSC, Current Affa irs 20 12 All Admission Alerts Bank Recruitment Board Exams Career Guidance Civil Services College Rankings Current Affairs Prep Distance Learning Education General Knowledge Quiz Interview with Toppers Jobs Notifica tions Judicial Services Exam Loans and Scholarships MBA SSC Recruitment State Public Service Commissions Teacher E ligibility Test UPSC Ins titut es & Cours es Careers Current Affairs Res ources GK QNA BookShop द 

Transcript of Practice Question Set on Data Interpretation_Logical Reasoning for CMAT 2012

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Home  Articles Practice Question Set on Data Interpretation/Logical reasoning for CMAT 2012

 

Caegoie Pacice Qeion Se on Daa Inepeaion/Logicaleaoning fo CMAT 2012

 Article Category: CMAT Question Papers Model Papers, Common Management Admission Test(CMAT), MBA 

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The Question Bank on Data Interpretation/Logical reasoning prepared for CMAT will

help you test your knowledge on the subject matter thoroughly.

 

Data Interpretat ion/Logical reasoning

Directions for questions (1 to 4) : Answer these Questions on the basis of 

the information given below:

 Venkat, a stockbroker, invested a part o f his money in the stock of four companies - A,

B, C and D. Each of these companies belonged to different industries, viz., Cement,

Information Technology (IT), Auto, and Steel, in no particular order. At the-time of 

investment, the price of each stock was Rs 100. Venkat purchased only one stock of 

each of these companies. He was expecting returns of 20%, 10%, 30% and 40%

from the stock of companies A, B, C and D, respectively. Returns are defined as the

change in the value ofthe stock after one year, expressed as a percentage of the initial

value. During the year, two of these companies announced extraordinarily good

results. One of these two companies belonged to the Cement or the IT industry,

while the other one belonged to either the Steel or the Auto industry. As a result, the

returns on the stocks of these two companies were higher than the initially expected

returns. For the company belonging to the Cement or the IT industry with

extraordinarily good results, the returns were twice that of the initially expected

returns. For the company belonging to the Steel or[ the Auto industry, the returns on

announcement of extraordinarily good results were only one and a halftimes that of 

the initially expected returns. For the remaining two companies.

Which do not announce extraordinarily good results, the returns realized

during the year were the same as initially expected.

1. What is the minimum average return Venkat would have earned during the

 year?

(a) 30%

(b) 31 Y4%

(c) 32 1/2%

(d) Cannot be determined

2. If Venkat earned a 35% return on average during the year, then which of 

these statements would necessarily be true?

I. Company A belonged either to Aut o or to Steel Industry.

II. Company B did not announce extraordinarily good results.

III. Company A announced extraordinarily good results.

Iv. Company D did not announce extraordinarily good results.

 JaganJoh

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(a) I and II only

(b) II and III only

(c) III and IV only

(d) II and IV only

3. If Venkat earned a 38.75% return on average during the year, then which

of these statement(s) would necessarily be true?

I. Company C belonged either to Auto or to Steel Industry.

II. Company D belonged either to Auto or to Steel Industry.

III. Company A announced extraordinarily good results.

IV. Company B did not announce extraordinarily good results.

(a) I and II only

(b) II and III only

(c) III and IV only

(d) II and IV only

4. If Company C belonged to the Cement or the IT industry and did

announce extraordinarily good results, then which of these statement(s)

would necessarily be t rue?

I. Venkat earned not more than 36.25% return on average.

II. Venkat earned not less than 33.75% return on average.

III. If Venkat earned 33.75% return on average, Company A announced

extraordinarily good results.

Iv. If' Venkat earned 33.75% return on average, Company B belonged either

to Auto or to Steel Industry. 

(a) I and II only

(b) II and IV only

(c) II and III only

(d) III and IV only

Directions for questions (5 to 8) : Answer these Questions on the basis of 

the information given below:

The table below presents the revenue (in million rupees) of four firms in three states.

These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are

disguised in the table as A,B,C and D, in no particular order.

Sae Fi A Fi B Fi C Fi D

UP 49 82 80 55

Bihar 69 72 70 65

MP 72 63 72 65

Further, it is known that:

In the state of MP, T ruthful Ltd. has the highest market share.

 Aggressive Ltd. 's aggregate revenue differs from Honest Ltd. 's by Rs. 5 million.

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5. What can be said regarding the following two statements?

Statement 1: Honest Ltd. has the highest share in the UP market.

Statement 2: Aggressive Ltd. has the highest share in the Bihar market.

(a) Both statements could be true.

(b) At least one of the statements must be true.

(c) At most one of the statements is true.

(d) None of the above.

6. What can be said regarding the following two statements?

Statement 1 : Aggressive Ltd. 's lowest revenues are from MP.

Statement 2 : Honest Ltd. 's lowest revenues are from Bihar.

(a) If Statement 2 is true then St atement 1 is necessarily false.

(b) If Statement I is false then Statement 2 is necessarily true.

(c) If Statement I is true then Statement 2 is necessarily true.

(d) None of the above.

7. What can be said regarding the following two statements?

Statement 1: Profitable Ltd. has the lowest share in MP market.

Statement 2 : Honest Ltd. 's total revenue is more than Profitable Ltd.

(a) If Statement I is true then Statement 2 is necessarily true.

(b) "If Statement 1 is true t hen Statement 2 is necessarily false.

(c) Both Statement 1 and Statement 2 are true.

(d) Neither Statement 1 nor Statement 2 is true.

8. If Profitable Ltd. 's lowest revenue is from UP, then which of the following

is true?

(a) Truthful Ltd. 's lowest revenues are from MP.

(b) T ruthful Ltd. 's lowest revenues are from Bihar.

(c) T ruthful Ltd. 's lowest revenues are from UP.

(d) No definite conclusion is possible.

Directions for questions (9 to 12) : Answer these Questions on the basis

ofthe information given below:

In the table below is the listing of players, seeded from highest (#1) to lowest (#32),

who are due to play in an Association of Tennis Players (ATP) tournament for women.

This tournament has four knockout rounds before the final, i.e., first round, second

round, quarterfinals, and semi-finals. In the first round, the highest seeded player plays

the lowest seeded player (seed # 32) which is designated match No.1 of first round;

the 2nd seeded player plays the 31 st seeded player which is designated match No.2

of the first round, and so on. Thus, for instance, match No. 16 of first round is to beplayed between 16th seeded player and the 17th seeded player. In thesecond round,

the winner of match No.1 of first round plays the winner of match No. 16 of first

round and is designated match No.1 of second round. Similarly, the winner of match

No.2 of first round plays the winner of match No. 15 of first round, and is designated

match No.2 of second round. Thus, for instance, match No.8 of the second round is

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to be played between the winner of match No.8 offirst round and the winner of 

match No.9 of first round. The same pattern is followed for later rounds as well.

Seed#

Nae f PaeSeed#

Nae f PaeSeed#

Nae f Pae

1 Maria Sharapova 12 Mary Pierce 23 Silvia Farina Elia

2Lindsay

Davenport13 Anastasia Mvskina 24 Tatiana Golovin

3 Amelie Mauresmo 14 Alicia Molik 25 Shinobu Asazoe

4 Kim Cliisters 15 Nathalie Dechv 26FrancescaSchiavone

5Svetlana

Kuznetsova16 Elena Bovina 27 Nicole Vaidisova

6 Elena Dementieva 17 Jelena Jankovic 28 Gisela Dulko

7 Justine Henin 18 Ana Ivanovic 29 Flavia Pennetta

8 Serena Williams 19 Vera Zvonareva 30 Anna Chakvetadze

9 Nadia Petrova 20 Elena Likhovtseva 31 Ai Sugiyama

10 Venus Williams 21Daniela

Hantuchova32

 Anna-lenaGroenefeld

11 Patty Schnyder 22 Dinara Safina

9. If Elena Dementieva and Serena Williams lose in the second round, whileJustine Henin and Nadia Petro va make it to the semi-finals, then who wouldplay Maria Sharapova in the quarterfinals, in the event Sharapova reachesquarterfinals?

(a) Dinara Safina

(b) Justine Henin

(c) Nadia Petrova

(d) Patty Schnyder

10. If the top eight seeds make it to the quarterfinals, then who, amongst

the players listed below, would definitely not play against Maria Sharapova inthe final, in case Sharapova reaches the final?

(a) Amelie Mauresmo

(b) Elena Dementieva

(c) Kim Clijsters

(d) Lindsay Davenport

11. If there are no upsets (a lower seeded player beating a higher seededplayer) in the first round, and only match Nos. 6, 7, and 8 of the secondround result in upsets, then who would meet Lindsay Davenport in quarterfinals, in case Davenport reaches quarter finals?

(a) Justine Henin

(b) Nadia Pet rova

(c) Patty Schnyder

(d) Venus Williams

12. If, in the first round, all even numbered matches (and none of the oddnumbered ones) result in upsets, and there are no upsets in the secondround, then who could be the lowest seeded player facing Maria Sharapovain semi-finals?

(a) Anastasia Myskina

(b) Flavia Pennett a

(c) Nadia Petrova

(d) Svetlana Kuznetsova

Directions for questions (13 to 16) : Answer these Questions on the basis of the information given below:

Help Distress (HD) is an NGO involved in providing assistance to people suffering fromnatural disasters. Currently, it has 37 volunteers. They are involved in three projects:

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Tsunami Relief(TR) in Tamil Nadu, Flood Relief(FR) in Maharashtra, and EarthquakeRelief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved inat least one relief work project.

 A Maximum number of volunteers are involved in the FR project. Among them,the number of volunteers involved in FR project alone is equal to the volunteershaving additional involvement in the ER project.

 

The number of volunteers involved in the ER project alone is double the numberof voluntee rs involved in all the three projects.

 

17 voluntee rs are involved in the TR project. ,

 

The number of volunteers involved in the TR project alone is one less than thenumber of volunteers involved in ER project alone.

 

Ten volunteers involved in the TR project are also involved in at least one moreproject.

13. Based on the information given above, the minimum number of 

volunteers involved in both FR and TR projects, but not in the ER project is:

(a) 1

(b) 3

(c) 4

(d) 5

14. Which of the following additional information would enable to find the

exact number of volunteers involved in various projects?

(a) Tw enty volunteers are involved in FR.

(b) Four volunteers are involved in all the three projects.

(c) Twent y three volunteers are involved in exactly one project.

(d) No need for any additional information.

15. After some time, the volunteers who were involved in all the three

projects were asked to withdraw from one project. As a result, one of the

volunteers opted out of the TR project, and one opted out ofthe ER project,

while the remaining ones involved in all the three projects opted out of the

FR project. Which of the following statements, then, necessarily follows?

(a) The lowest number of voluntee rs is now in TR project.

(b) More voluntee rs are now in FR project as compared to ER project.

(c) More voluntee rs are now in TR project as compared to ER project .

(d) None of the above.

16. After the withdrawal of volunteers, as indicated in Question 85, some

new volunteers joined the NGO. Each one ofthem was allotted only one

project in a manner such that, the number of volunteers working in one

project alone for each of the three projects became identical. At that point,

it was also found that the number of volunteers involved in FR and ER 

projects was the same as the number of volunteers involved in TR and ER 

projects. Which of the projects now has the highest number of volunteers?

(a) ER 

(b) FR 

(c) TR 

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(d) Cannot be determined

Directions for questions (17 to 20) : Answer these Questions on the basis of 

the information given below:

The year is 2089. Beijing, London, New York, and Paris are in contention to host the

2096 Olympics. The eventual winner is dete rmined t hrough several rounds of vot ing by

members of the lac with each member representing a different city. All the four cities

in contention are also represented in lac.

In any round of voting; the city receiving the lowest number of votes in thatround gets eliminated. The survivor after the last round of voting gets to host theevent.

 

 A member is allowed to cast votes for at most two different cities in all rounds of voting combined. (Hence, a member becomes ineligible to cast a vote in a givenround if both the cities(s) he voted for in earlier rounds are out of contention inthat round of voting.)

 

 A member is also ineligible to cast a vote in a round if the city(s) he represents isin contention in that round of voting .

 

 As long as the member is eligible,(s)he must vote and vote for only one candidatecity in any round of voting.

The following incomplete table shows the information on cities that received the

maximum and minimum votes in different rounds, the number of votes cast in their

favour, and the total votes that were cast in those rounds.

RdTa

 Ve ca

Mai e ca Eiiaed

City No. of votes City No. of votes

1 London 30 New York 12

2 83 Paris 32 Beijing 21

3 75

It is also known that :

 All those who voted for London and Paris in round 1, continued to vote for thesame cities in subsequent rounds as long as these cities were in content ion. 75% of those who voted for Beijing in round I, voted for Beijing in round 2 as well.

 

Those who voted for New York in round 1, voted either for Beij ing or Paris inround 2.

 

The difference in vot es cast for the two contending cities in the last round was I.

 

50% of those who voted for Beijing in round I, voted for Paris in round 3.

17. What percentage of members from among those who voted for New York 

in round 1, voted for Beijing in round 2?

(a) 33.33

(b) 50

(c) 66.67

(d) 75

18. What is the number of votes cast for Paris in round I?

(a) 16

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(b) 18

(c) 22

(d) 24

19. What percentage of members from among those who voted for Beijing in

round 2 and were eligible to vote in round 3, voted for London?

(a) 33.33

(b) 38.10

(c) 50

(d) 66.67

20. Which of the following statements must be true?

(a) IOC member from New York must have voted for Paris in round 2.

(b) IOC member from Beijing voted for London in round 3.

(a) Only a

(b) Only b

(c) Both a and b

(d) Neither a nor b

Directions for questions (21 to 24) : Answer these questions on the basis

ofthe information given below.

Each question is followed by two statements, A and B. Answer each question using

the following instructions:

(a) if the question can be answered by using the statement A alone but not by using

the statement B alone.

(b) if the question can be answered by using the statement B alone but not by using

the statement A alone.

(c) if the question can be answered by using either of the statements alone.

(d) if the question can be answered by using both the statements together but not

by either of the statements alone.

(e) if the question cannot be answered on the basis of the two statements.

21. In a football match, at the half-time, Mahindra and Mahindra Club was

trailing by three goals. Did it win the match?

 A: In the second-half Mahindra and Mahindra Club scored four goals.

B: The opponent scored four goals in the match .

22. In a particular school, sixty students were athletes. Ten among them

were also among the top academic performers. How many top academic

performers were in the school?

 A: Sixty per cent of'the top academic performers were not athletes.

B: All the t op academic performers were not necessarily athletes.

23. Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones

who participated in a quiz contest. They were ranked based on their scores in

the contest. Dev got a higher rank as compared to Ernesto, while Bala got a

higher rank as compared to Chetan. Chetan's rank was lower than the

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median. Who among the five got the highest rank?

 A: Atul was the last rank holder.

B: Bala was not among the top two rank holders.

24. Thirty per cent of the employees ofa call centre are males. Ten per cent of 

the female employees have an engineering background. What is the

percentage of male employees with engineering background?

 A: Twenty five per cent of the employees have engineering background.

B: Number of male employees having an engineering background is 20% more than

the number of female employees having an engineering background.

Directions for questions (25 to 28) : Answer these questions on the basis of 

the information given below.

The proportion of male student s and the proportion of vegetarian student s in a school

are given below.The school has a total of 800 students, 80% of whom are in the

Secondary Sect ion and rest equally divided betw een Class 11 and 12.

Mae (M) Vegeaia (V)Class 12 0.60

Class 11 0.55 0.50

Secondary Sect ion 0.55

Total 0.475 0.53

25. What is the percentage of vegetarian students in Class 12?

(a) 40

(b) 45

(c) 50

(d) 55

(e) 60

26. In Class 12, twenty five per cent of the vegetarians are male. What is the

difference between the number of female vegetarians and male non-

vegetarians?

(a) less than 8

(b) 10

(c) 12

(d) 14

(e) 16

27. What is the percentage of male students in the secondary section?

(a) 40

(b) 45

(c) 50

(d) 55

(e) 60

28. In the Secondary Section, 50% of the students are vegetarian males.

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Which of the following statements is correct?

(a) Except vegetarian males, all othe r groups have same number of student s.

(b) Except non-vegetarian males, all othe r groups have same number of student s.

(c) Except vegetarian females, all othe r groups have same number ofstudents.

(d) Except non-vegetarian females, all othe r groups have same number of student s.

(e) A ll of the above groups have the same number of student s. '

Directions for questions (29 to 32) : Answer these questions on the basis of 

the information given below.

The following table shows the break-up of actual costs incurred by a company in last

five years (year 2002 to year 2006) t o produce a particular product:

   Yea Yea Yea Yea Yea

2002 2003 2004 2005 2006

 Volume of production and sale (units) 1000 900 1100 1200 1200

Costs (Rs.)  

Material 50,000 45,100 55,200 59,900 60,000

Labour 20,000 18,000 22,100 24,150 24,000

Consumables 2,000 2,200 1,800 1,600 1,400

Rent of building 1,000 1,000 1,100 1,100 1,200

Rates and taxes 400 400 400 400 400

Repair and maintenance expenses 800 820 780 790 800

Operating cost of machines 30,000 27,000 33,500 36,020 36,000

Selling and marketing expenses 5,750 5,800 5,800 5,750 5,800

The production capacity of the company is 2000 units. The selling price for the year

2006 was Rs. 125 per unit. Some costs change almost in direct proportion to thechange in volume of production, while others do not follow any obvious pattern of 

change with respect to the volume of production and hence are considered fixed.

Using the information provided for the year 2006 asthe basis for projecting the figures

for the year 2007, answer the following questions:

29. What is the approximate cost per unit in rupees, ifthe company produces

and sells 1400 units in the year 2007?

(a) 104

(b) 107

(c) 110

(d) 115

(e) 116

30. What is the minimum number of units that the company needs to

produce and sell to avoid any loss?

(a) 313

(b) 350

(c) 384

(d) 747

(e) 928

31. Given that the company cannot sell more than 1700 units, and it will

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have to reduce the price by Rs.5 for all units, if it wants to sell more than

1400 units, what is the maximum profit, in rupees, that the company can

earn?

(a) 25,400

(b) 24,400

(c) 31,400

(d) 32,900

(e) 32,000

32. If the company reduces the price by 5%, it can produce and sell as many

units as it desires. How many units the company should produce to maximize

its profit?

(a) 1400

(b) 1600

(c) 1800

(d) 1900

(e) 2000

Directions for questions (33 to 36) : Answer these questions on the basis

ofthe information given below.

The Table shows the comparative costs, in US'Dollars, of major surgeries in USA and a

select few Asian countries.

 

Caaie C i USA ad e Aia cie

Procedure (in US Dollars)

  USA India Thailand Singapore Malaysia

Heart Bypass 130000 10000 11000 18500 9000

Heart ValveReplacement

160000 9000 10000 12500 9000

 Angioplasty 57000 11000 13000 13000 11000

Hip Replacement 43000 9000 12000 12000 10000

Hysterectomy 20000 3000 4500 6000 3000

Knee Replacement 40000 8500 10000 13000 8000

Spinal Fusion 62000 5500 7000 9000 6000

 The equivalent of one US Dollar in the local currencies is given below:

1 US Da eiae

India 40.928 Rupees

Malaysia 3.51 Ringits

Thailand 32.89 Bahts

Singapore 1.53 S Dollars

 

 A consulting firm found that the quality of the health services were not t he same in allthe countries above. A poor quality of a surgery may have significant repercussions in

future, resulting in more cost in correcting mistakes. The cost of poor quality of 

surgery is given in the table below:

 

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Caaie C i USA ad e Aia cie (i US Da)

Procedure USA India Thailand Singapore Malaysia

Heart Bypass 0 3 3 2 4

Heart Valve Replacement

 Angioplasty

0

0

5

5

4

5

5

4

5

6

Hip Replacement 0 7 5 5 8

Hysterectomy 0 5 6 5 4

Knee Replacement 0 9 6 4 4

Spinal Fusion 0 5 6 5 6

33. The rupee value increases to Rs. 35 for a US Dollar, and all other things

including quality, remain the same. What is the approximate difference in

cost, in US Dollars, between Singapore and India for a Spinal Fusion, taking

this change into account?

(a) 700

(b) 2500

(c) 4500

(d) 8000

(e) No difference

34. Approximately, what difference in amount in Bahts will it make to a Thai

citizen if she were to get a hysterectomy done in India instead of in her,

native country, taking into account the cost of poor quality? It costs 7500

Bahts for one-way travel between Thailand and India.

(a) 23500

(b) 40500

(c) 57500

(d) 67500

(e) 75000

35. A US citizen is hurt in an accident and requires an angioplasty, hip

replacement and a knee replacement. Cost of foreign travel and stay is not a

consideration since the government will take care of it. Which country will

result in the cheapest package, taking cost of poor quality into account?

(a) India

(b) Thailand

(c) Malaysia

(d) Singapore

(e) USA 

36. Taking the cost of poor quality into account, which country/countries

will be the most expensive for knee replacement?

(a) India

(b) Thailand

(c) Malaysia

(d) Singapore

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(e) India and Singapore

Directions for questions (37 to 41) : Answer these questions on the basis

ofthe information given below.

 A low-cost airline company connects ten Indian cities, A to J. The table below gives

the distance between a pair of airports and the corresponding price charged by the

company. Travel is permitted only from a departure airport to an arrival airport. The

customers do not travel by a route where they have to stop at more than two

intermediate airports.

Sec

N.

 Ai f 

Deae

 Ai f 

 Aia

Diace beee he

 Ai (K)

Pice (R.)

1 A B 560 670

2 A C 790 1350

3 A D 850 1250

4 A E 1245 1600

5 A F 1345 1700

6 A G 1350 2450

7 A H 1950 1850

8 B C 1650 2000

9 B H 1750 1900

10 B I 2100 2450

11 B J 2300 2275

12 C D 460 450

13 C F 410 430

14 C G 910 1100

15 D E 540 590

16 D F 625 700

17 D G 640 750

18 D H 950 1250

19 D J 1650 2450

20 E F 1250 1700

21 E G 970 1150

22 E H 850 875

23 F G 900 1050

24 F I 875 950

25 F J 970 1150

26 G I 510 550

27 G J 830 890

28 H I 790 970

29 H J 400 425

30 I J 460 540

37. What is the lowest price, in rupees, a passenger has to pay for travelling

by the shortest route from A to J?

(a) 2275

(b) 2850

(c) 2890

(d) 2930

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(e) 3340

38. The company plans to introduce a direct flight between A and J. The

market research results indicate that all its existing passengers travelling

between A and J will use this direct flight ifit is priced 5% below the

minimum price that they pay at present. What sllould the company charge

approximately, in rupees, for this direct flight?

(a) 1991

(b) 2161

(c) 2707

(d) 2745

(e) 2783

39. If the airports C, D and H are closed down owing to security reasons,

what would be the minimum price, in rupees, to be paid by a passenger

travelling from A to J?

(a) 2275

(b) 2615

(c) 2850

(d) 2945

(e) 3190

40. If the prices include a margin of 10% over the total cost that the

company incurs, what is the minimum cost per kilometer that the company

incurs in flying from A to J?

(a) 0.77

(b) 0.88

(c) 0.99

(d) 1.06

(e) 1.08

41. If the prices include a margin of 15% over the total cost that the

company incurs, which among the following is the distance to be covered in

flying from A to J that minimizes the total cost per kilometer for the

company?

(a) 2170

(b) 2180

(c) 2315

(d) 2350

(e) 2390

Directions for questions (42 to 45) : Answer these questions on the basis of 

the information given below.

 A health-drink company's R&D department is trying to make various diet formulations,

which can be used for certain specific purposes. It is considering a choice of 5

alternative ingredients (0, P, Q, Rand S), w hich can be used in different proportions in

the formulations. The t able below gives the composition ofthe se ingredients. The cost

per unit of each of these ingredients is 0: 150, P :50, Q: 200, R: 500, S: 100.

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  Cii

IgedieCabhdae

%

Pei

%

Fa

%

Miea

%

O 50 30 10 10

P 80 20 0 0

Q 10 30 50 10

R 5 50 40 5

S 45 50 0 5

42. The company is planning to launch a balanced diet required for growthneeds of adolescent children. This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals.Which one of the following combinations of equally mixed ingredients isfeasible?

(a) O and P

(b) R and S

(c) P and S

(d) Q and R 

(e) O and S

43. For a recuperating patient, the doctor recommended a diet containing10% minerals and at least 30% protein. In how many different ways can weprepare this diet by mixing at least two ingredients?

(a) One

(b) Two

(c) Three

(d) Four

(e) None

44. Which among the following is the formulation having the lowest cost perunit for a diet having 10% fat and at leas410% protein? The diet has to beformed by mixing two ingredients.

(a) P and Q

(b) P and S

(c) P and R 

(d) Q and S

(e) Rand S

45. In what proportion P, Q and S should be mixed to make a diet having atleast 60% carbohydrate at the lowest per unit cost?

(a) 2:1:3

(b) 4:1:2

(c) 2:1:4

(d) 3:1:2

(e) 4:1:1

Directions 46- 50 : These are based on the following Line Chart: The sales andnet profit of XPL Electronics in Rs. crores is given below.

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Note: Net profit = Gross Profit - Tax. Gross profit = Sales - Expenses. The figures forsales is given at the bottom of the bar chart and the figures for net profit is given ontop of the line chart.

46. What is the net profit percentage ofXPL in 1998?

(a) 4.6%

(b) 4.8%

(c) 5.1%

(d) 6.2%

47. Which year showed the maximum percentage increase in sales?

(a) 1999

(b) 1998

(c) 1997

(d) 1996

48. By how much percentage has the net profit dropped in 1996?

(a) 1.1%

(b) 2.27%

(c) 2.53%

(d) Cannot be determined

49. If XPL sold 20,000 units in both 1998 and 1999, by what percentage hasthe price per unit changed?

(a) 8.7%

(b) 10.96%

(c) 9.86%

(d) Cannot be determined

50. The year in which the expenses ofXPL Electronic are highest is

(a) 1999

(b) 1998

(c) 1997

(d) Cannot be determined

Directions (51 to 55) : These are based on the following data.

The following chart gives the production of three major crops (in million tons) acrossfive Indian states in the year 1998.

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51. If Tamil Nadu registers an annual increase of 22 per cent in riceproduction, what was the rice production in Tamil Nadu in 1998?

(a) 1900 million tons

(b) 2300 million tons

(c) 2180 million tons

(d) 2520 million tons

52. What is the ratio of total wheat production in the five states to totalsugar production?

(a) 0.6

(b) 1.4

(c) 1.0

(d) 0.75

53. If sugar costs Rs. 700 per ton and wheat costs Rs. 400 per ton, whatwas the total 'worth of sugar and wheat production in India?

(a) 42 million

(b) 21 million

(c) 10.5 million

(d) Data insufficient

54. If the yield per hectare of sugar is 3.86 tons, what is the ratio of areaemployed to produce sugar in Bihar to Gujarat?

(a) 1.15

(b) 1.45

(c) 1.35

(d) Data insufficient

55. If these five states constitute 77 per lent of the country's wheatproduction and 23 per ent of country's wheat consumption is imported,what is the amount of wheat importedin 1998?

(a) 4700 million tons

(b) 3900 million tons

(c) 3500 million tons

(d) Data insufficient

Directions (56 to 60) : Read the following information and answer thequetions that follow:

The cars at. a dealership come with a choice-of the following options: air-conditioning,a cassette deck, leather seats, power windows, a sunroof and tinted glass. None of the cars has any other optional equipment . The fo llowing conditions apply:

If a car has leather seats, it also has a cassette deck. If a car has a cassette deck, italso has power windows; If a car has power windows, it also has a cassette deck.

Cars with tinted glass have a sunroof, but no air-conditioning. Cars that have air-conditioning have, at most, two other options.

56. If a car has both tinted glass and leather seats, what is the greatestnumber of additional options that the car could have?

(a) 1

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(b) 2

(c) 3

(d) 4

57. Which one of the following could be a complete and accurate list of options on a car?

(a) air-conditioning, casset te deck, leather seats, pow er windows

(b) air-conditioning , cassette deck, leather seats, sunroof 

(c) casset te deck, leather seats, sunroof, t inted glass

(d) cassette deck, power windows, sunroof, tinted glass

58. If a car has power windows and a sunroof, how many different sets of options, at most, can the car have?

(a) 2

(b) 3

(c) 4

(d) 5

59. If a car has exactly two options, which one of the following could theybe?

(a) air-conditioning and cassette deck 

(b) tinted glass and sunroof 

(c) cassette deck and leather seats

(d) power windows and sunroof 

60. If a car has tinted glass, which one of the following CANNOT be true?

(a) The car has 3 opt ions.

(b) The car has 4 options.

(c) The car has power w indows and a sunroof.

(d) The car does not have both leather seats and a cassette deck.

Directions (61 - 65): The data given below pertains to seven differentindustry sector with respect to income, expenditure, Profits. Study the dataand answer the questions.

Paica cheicaDieified

Eecici Fd Machie Seice Teie

1 Sales 498,476 128,125 82,808 56,401

2 Other Income 7,303 2,374 2,887 6,097 1,705

3Total Income=(1+2)

130,830 128,733 58,106

4Raw materialcost 338,683 78,237 31,060 48,188 54,994 81,600 33,738

5Power & fuel

expenses

18,467 4,865 2,003 1,973

6Salaries andwages

13,791 4,412 4,284 20,038 44,371 4,361

7 Depreciation 11,065 4,807 6,311 5,026 22,854 3,013

8Interestpayments

11,135 2,923 5,756 133,619 5,259

9 Other expenses 24,706 5,604 23,570 34,271 97,092 10,368

10Total expenses

=

(4+5+6+7+8+9)

119,316 58,769 80,750 120,557 385,694

11Profit before tax

11,514 3,814 8,176 50,484

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=(3-10)

12 Tax paid 7,467 2,394 0

13Profit afte r tax

=(11-12)

19,861 8,887 8,501 2,538 5,001 32,698 -2,874

61. Which of the following statements is wrong?

(a) Depreciation expense is the lowest for food industry

(b) Power and fuel expenses are 5th largest item in the expenditure of diversifiedindustries.

(c) Electricity industry earns more of other income as a percentage of total incomecompared to othe r industries.

(d) Raw material cost is the largest item of expense in all industry sectors

62. Depreciation as a percentage of total expenses is maximum in whichindustry sector?

(a) Chemical

(b) Diversified

(c) Electricity

(d) Machinery

63. Which industry sector has 'salaries and wages' as 3rd largest item in itsexpenses?

(a) Food

(b) Se rvices

(c) Textiles & Food

(d) Food & Machinery

64. If the industry sectors are ranked on the basis of 'Tax paid as aproportion of sales' in the ascending order, then which industry will be placed

at rank 3?

(a) Machinery

(b) Electricity

(c) Food

(d) Diversified

65. If the ranking is based on Profit Before Tax in the descending order,subject to the condition that 'other expenses' of all the industry sectorsequals zero, then which of following statements is wrong?

(a) Rank of Chemical industry does not change

(b) Rank of electricity industry declines

(c) Diversified industry rank changes from 3rd to 4th

(d) Rank offood industry changes from 5th to 6th

Directions (66 - 70) : Seven companies A, B, C, D, E, F and G are engaged in

production of two items I and II. The comparative data about production

ofthese items by the seven companies is given in the following Graph and

Table. Study them carefully to answer the questions that follow.

PERCENTAGE OF THE TOTAL PRODUCTION PRODUCED BY THE SEVEN

COMPANIES

Cost ofthe total production (both items together) by seven companies = 25 crores

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RATION OF PRODUCTION BETWEEN ITEMS I AND II AND THE PERCENT PROFIT

EARNED FOR THE TWO ITEMS

  Rai f Pdci Pece Pfi Eaed

Company Item I Item II Item I Item II

 A 2 3 25 20

B 3 2 32 35

C 4 1 20 22

D 3 5 15 25

E 5 3 28 30

F 1 4 35 25

G 1 2 30 24

66. Cost of production of item I by companyF is what percent of the cost of 

production of item Il by company D?

(a) 16%

(b) 33.33%

(c) 66.67%

(d) None of these

67. What is the total profit earned by company 0 for items I and II together?

(a) 78lakh

(b) 1.62 crore

(c) 7.8 crore

(d) 16.2 lakh

68. What is the ratio of the cost of production of item I by company A to the

cost of production of item I by company D?

(a) 3: 5

(c) 2: I

(b) I: 2

(d) 2: 3

69. The cost of production of both items together by company E is equal to

the total cost of production of both items together by which of the two

companies?

(a) C and D

(b) B and G

(c) A and D

(d) C and F

70. What is the total of the cost of production of item I by company A and

the cost of production of item Il by company B?

(a) 2.6 c rore

(b) 26 lakh

(c) 3.35 crore

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(d) 33.65 lakh

 

 Answers

1 (a) 36 (a)

2 (b) 37 (d)

3 (c) 38 (b)

4 (b) 39 (c)

5 (c) 40 (b)

6 (c) 41 (d)

7 (b) 42 (e)

8 (c) 43 (a)

9 (c) 44 (d)

10 (c) 45 (e)

11 (d) 46 (c)

12 (a) 47 (d)

13 (c) 48 (b)

14 (a) 49 (b)15 (b) 50 (d)

16 (a) 51 (d)

17 (d) 52 (b)

18 (d) 53 (d)

19 (d) 54 (b)

20 (a) 55 (d)

21 (e) 56 (c)

22 (a) 57 (d)

23 (d) 58 (c)

24 (c) 59 (b)

25 (a) 60 (a)

26 (e) 61 (d)

27 (b) 62 (c)

28 (b) 63 (d)

29 (b) 64 (c)

30 (c) 65 (d)

31 (a) 66 (d)

32 (e) 67 (a)

33 (b) 68 (c)

34 (d) 69 (d)

35 (c) 70 (a)

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