ROHRArsquoS ACADEMY DATA INTERPRETATION

Directions for questions 1 to 2 A robot moves on a graph sheet with x and y-axes The robot is moved by feeding it with a sequence of instructions The different instructions that can be used in moving it and their meanings are

Instruction Meaning

GOTO(xy) move to point with coordinates (x y) no matter where you are currently

WALKX(P) Move parallel to the x-axis through a distance of p in the positive direction if p is positive and in the negative direction if p is negative

WALKY(P) Move parallel to the y-axis through a distance of p in the positive direction if p is positive and in the negative direction if p is negative

1 The robot reaches point (6 6) when a sequence of three instructions is executed the first of which is a GOTO(x y) instruction the second is WALKX(2) and the third is WALKY(4) What are the values of x and y1 2 4 2 0 0 3 4 2 4 2 2

2 The robot is initially at (x y) x gt 0 and y lt 0 The minimum number of instructions needed to be executed to bring it to the origin (00) if you are prohibited from using the GOTO instruction is 1 2 2 1 3 x + y 4 0

Directions for questions 3 to 5Recently Ghosh Babu spent his winter vacation on Kyakya Island During the vacation he visited the local casino where he came across a new card game Two players using a normal deck of 52 playing cards play this game One player is called the Dealer and the other is called the Player First the Player picks a card at random from the deck This is called the base card The amount in rupees equal to the face value of the base card is called the base amount The face values of Ace King Queen and Jack are ten For other cards the face value is the number on the card Once the Player picks a card from the deck the Dealer pays him the base amount Then the dealer picks a card from the deck and this card is called the top card If the top card is of the same suit as the base card the Player pays twice the base amount to the Dealer If the top card is of the same colour as the base card (but not the same suit) then the Player pays the base amount to the Dealer If the top card happens to be of a different colour than the base card the Dealer pays the base amount to the Player

Ghosh Babu played the game 4 times First time he picked eight of clubs and the Dealer picked queen of clubs Second time he picked ten of hearts and the dealer picked two of spades Next time Ghosh Babu picked six of diamonds and the dealer picked ace of hearts Lastly he picked eight of spades and the dealer picked jack of spades Answer the

following questions based on these four games

3 If Ghosh Babu stopped playing the game when his gain would be maximized the gain in Rs would have been1 12 2 20 3 16 4 4

4 The initial money Ghosh Babu had (before the beginning of the game sessions) was Rs X At no point did he have to borrow any money What is the minimum possible value of X1 16 2 8 3 100 4 24

5 If the final amount of money that Ghosh Babu had with him was Rs 100 what was the initial amount he had with him1 120 2 8 3 4 4 96

Directions for questions 6 to 8The following sketch shows the pipelines carrying material from one location to another Each location has a demand for material The demand at Vaishali is 400 at Mathura is 400 at Jhampur is 700 and at Vidisha is 200 Each arrow indicates the direction of material flow through the pipeline The flow from Vaishali to Mathura is 300 the quantity of material flow issuch that the demands at all these locations are exactly met The capacity of each pipeline is 1000

6 What is the free capacity available in the Avanti-Vidisha Pipeline(a) 300 (b) 200 (c) 100 (d) 0

7 What is the extra capacity available from Avanti to Vaishali(a) 0 (b) 100 (c) 200 (d) 300

8 The quantity moved from Avanti to Vidisha is(a) 200 (b) 800 (c) 700 (d) 1000

Directions for questions 9 to 11

SI No Country Capital Latitude Longitude1 Argentina Buenos Aires 3430 S 5820 E

2 Australia Canberra 3515 S 14908 E

3 Austria Vienna 4812 N 1622 E

4 Bulgaria Sofia 4245 N 2320 E

5 Brazil Brasilia 1547 S 4755 E

6 Canada Ottawa 4527 N 7542 E

7 Cambodia Phnom Penh 1133 N 10455 E

8 Equador Quito 015 S 7835 E

9 Ghana Accra 535 N 06 E

10 Iran Teheran 3544 N 5130 E

11 Ireland Dublin 5320 N 618 E

12 Libya Tripoli 3249 N 1307 E

13 Malaysia Kuala Lampur 39 N 10141 E

14 Peru Lima 1205 S 770 E

15 Poland Warsaw 5213 N 210 E

16 New Zealand

Wellington 4117 S 17447 E

17 Saudi Arabia Riyadh 2441 N 4642 E

18 Spain Madrid 4025 N 345 W

19 Sri Lanka Colombo 656 N 7958 E

20 Zambia Lusaka 1528 S 2816 E

9 What E (10-degree East and 40 degreedegE and 40degpercentage of cities located within 10 East) lie in the Southern Hemisphere1 15 2 20 3 25 4 30

10 The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table

1 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 12 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 23 is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 14 is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 2

11 The ratio of the number of countries whose name starts with vowels and located in the Southern Hemisphere to the number of countries the name of whose capital cities starts with a vowel in the table above is1 32 2 33 3 31 4 43

Directions for questions 12 to 14 The table below reports annual statistics related to rice production in select States of India for a particular year

State Total Area(in million hectares)

of Area UnderRice Cultivation

Production(in million tons)

Population(in millions)

Himachal Pradesh

6 20 12 6

Kerala 4 60 48 32Rajasthan 34 20 68 56

Bihar 10 60 12 83

Karnataka 19 50 19 53Haryana 4 80 192 21West Bengal 9 80 216 80Gujarat 20 60 24 51Punjab 5 80 24 24Madhya Pradesh

31 40 248 60

Tamil Nadu 13 70 273 62Maharashtra 31 50 48 97Uttar Pradesh 24 70 672 166Andhra Pradesh

28 80 112 76

12 Which two States account for the highest productivity of rice(tons produced per hectare of rice cultivation)(1) Haryana and Punjab(2) Punjab and Andhra Pradesh(3) Andhra Pradesh and Haryana(4) Uttar Pradesh and Haryana

13 How many States have a per capita production of rice(defined as total rice production divided by its population) greater thanGujarat(1) 3 (2) 4 (3) 5 (4) 6

14 An intensive rice producing State is defined as one whoseannual rice production per million of population is at least 400000 tonsHow many States are intensive rice producing States(1) 5 (2) 6 (3) 7 (4) 8

Directions for questions 15 to 18Venkat a stockbroker invested a part of his money in the stock offour companiesmdashA B C and D Each of these companies belonged todifferent industries viz Cement Information Technology (IT) Autoand Steel in no particular order At the time of investment the price ofeach stock was Rs 100 Venkat purchased only one stock of each ofthese companies He was expecting returns of 20 10 30 and40 from the stock of companies A B C and D respectively Returnsare defined as the change in the value of the stock after one yearexpressed as a percentage of the initial value During the year two ofthese companies announced extraordinarily good results One of thesetwo companies belonged to the Cement or the IT industry while theother one beloned to either the Steel or the Auto industry As a resultthe returns on the stocks of these two companies were higher than theinitially expected returns For the company belonging to the Cement orthe IT industry with extraordinarily good results the returns were twicethat of the initially expected returns For the company belonging to theSteel or the Auto industry the returns on announcement of extraordinarilygood results were only one and a half times that of the initially expectedreturns For the remaining two companies which did not announceextraordinarily good results the returns realized during the year werethe same as initially expected15 If Venkat earned a 35 return on average during the yearthen which of these statements would necessarily be trueI Company A belonged either to Auto or to Steel IndustryII Company B did not announce extraordinarily good resultsIII Company A announced extraordinarily good resultsIV Company D did not announce extraordinarily good results

(1) I and II only(2) II and III only(3) III and IV only(4) II and IV only

16 If Venkat earned a 3875 return on aveage during the yearthen which of these statement(s) would necessarily be trueI Company C belonged either to Auto or to Steel IndustryII Company D belonged either to Auto or to Steel IndustryIII Company A announced extraordinarily good resultsIV Company B did not announce extraordinarily good results(1) I and II only(2) II and III only(3) I and IV only(4) II and IV only

17 If Company C belonged to the Cement or the IT industry anddid announce extraordinarily good results then which of thesestatement(s) would ncessarily be trueI Venkat earned not more than 3625 return on averageII Venkat earned not less than 3375 return on averageIII If Venkat earned 3375 return on average Company Aannounced extraordinarily good resultsIV If Venkat earned 3375 return on average Company Bbelonged either to Auto or to Steel Industry(1) I and II only(2) II and IV only(3) II and III only(4) III and IV only

18 What is the minimum average return Venkat would have earnedduring the year(1) 30 (2) 31frac14 (3) 32frac12 (4) Cannot be determined

Directions for questions 19 to 20Help Distress (HD) is an NGO involved in providing assistance topeople suffering from natural disasters Currently it has 37 volunteersThey are involved in three projects Tsunami Relief (TR) in Tamil NaduFlood Relief (FR) in Maharashtra and Earthquake Relief (ER) in GujaratEach volunteer working with Help Distress has to be involved in at leastone relief work project1048698A Maximum number of volunteers are involved in the FR projectAmong them the number of volunteers involved in FR projectalone is equal to the volunteers having additional involvementin the ER project1048698The number of volunteers involved in the ER project alone is

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

following questions based on these four games

3 If Ghosh Babu stopped playing the game when his gain would be maximized the gain in Rs would have been1 12 2 20 3 16 4 4

4 The initial money Ghosh Babu had (before the beginning of the game sessions) was Rs X At no point did he have to borrow any money What is the minimum possible value of X1 16 2 8 3 100 4 24

5 If the final amount of money that Ghosh Babu had with him was Rs 100 what was the initial amount he had with him1 120 2 8 3 4 4 96

Directions for questions 6 to 8The following sketch shows the pipelines carrying material from one location to another Each location has a demand for material The demand at Vaishali is 400 at Mathura is 400 at Jhampur is 700 and at Vidisha is 200 Each arrow indicates the direction of material flow through the pipeline The flow from Vaishali to Mathura is 300 the quantity of material flow issuch that the demands at all these locations are exactly met The capacity of each pipeline is 1000

6 What is the free capacity available in the Avanti-Vidisha Pipeline(a) 300 (b) 200 (c) 100 (d) 0

7 What is the extra capacity available from Avanti to Vaishali(a) 0 (b) 100 (c) 200 (d) 300

8 The quantity moved from Avanti to Vidisha is(a) 200 (b) 800 (c) 700 (d) 1000

Directions for questions 9 to 11

SI No Country Capital Latitude Longitude1 Argentina Buenos Aires 3430 S 5820 E

2 Australia Canberra 3515 S 14908 E

3 Austria Vienna 4812 N 1622 E

4 Bulgaria Sofia 4245 N 2320 E

5 Brazil Brasilia 1547 S 4755 E

6 Canada Ottawa 4527 N 7542 E

7 Cambodia Phnom Penh 1133 N 10455 E

8 Equador Quito 015 S 7835 E

9 Ghana Accra 535 N 06 E

10 Iran Teheran 3544 N 5130 E

11 Ireland Dublin 5320 N 618 E

12 Libya Tripoli 3249 N 1307 E

13 Malaysia Kuala Lampur 39 N 10141 E

14 Peru Lima 1205 S 770 E

15 Poland Warsaw 5213 N 210 E

16 New Zealand

Wellington 4117 S 17447 E

17 Saudi Arabia Riyadh 2441 N 4642 E

18 Spain Madrid 4025 N 345 W

19 Sri Lanka Colombo 656 N 7958 E

20 Zambia Lusaka 1528 S 2816 E

9 What E (10-degree East and 40 degreedegE and 40degpercentage of cities located within 10 East) lie in the Southern Hemisphere1 15 2 20 3 25 4 30

10 The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table

1 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 12 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 23 is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 14 is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 2

11 The ratio of the number of countries whose name starts with vowels and located in the Southern Hemisphere to the number of countries the name of whose capital cities starts with a vowel in the table above is1 32 2 33 3 31 4 43

Directions for questions 12 to 14 The table below reports annual statistics related to rice production in select States of India for a particular year

State Total Area(in million hectares)

of Area UnderRice Cultivation

Production(in million tons)

Population(in millions)

Himachal Pradesh

6 20 12 6

Kerala 4 60 48 32Rajasthan 34 20 68 56

Bihar 10 60 12 83

Karnataka 19 50 19 53Haryana 4 80 192 21West Bengal 9 80 216 80Gujarat 20 60 24 51Punjab 5 80 24 24Madhya Pradesh

31 40 248 60

Tamil Nadu 13 70 273 62Maharashtra 31 50 48 97Uttar Pradesh 24 70 672 166Andhra Pradesh

28 80 112 76

12 Which two States account for the highest productivity of rice(tons produced per hectare of rice cultivation)(1) Haryana and Punjab(2) Punjab and Andhra Pradesh(3) Andhra Pradesh and Haryana(4) Uttar Pradesh and Haryana

13 How many States have a per capita production of rice(defined as total rice production divided by its population) greater thanGujarat(1) 3 (2) 4 (3) 5 (4) 6

14 An intensive rice producing State is defined as one whoseannual rice production per million of population is at least 400000 tonsHow many States are intensive rice producing States(1) 5 (2) 6 (3) 7 (4) 8

Directions for questions 15 to 18Venkat a stockbroker invested a part of his money in the stock offour companiesmdashA B C and D Each of these companies belonged todifferent industries viz Cement Information Technology (IT) Autoand Steel in no particular order At the time of investment the price ofeach stock was Rs 100 Venkat purchased only one stock of each ofthese companies He was expecting returns of 20 10 30 and40 from the stock of companies A B C and D respectively Returnsare defined as the change in the value of the stock after one yearexpressed as a percentage of the initial value During the year two ofthese companies announced extraordinarily good results One of thesetwo companies belonged to the Cement or the IT industry while theother one beloned to either the Steel or the Auto industry As a resultthe returns on the stocks of these two companies were higher than theinitially expected returns For the company belonging to the Cement orthe IT industry with extraordinarily good results the returns were twicethat of the initially expected returns For the company belonging to theSteel or the Auto industry the returns on announcement of extraordinarilygood results were only one and a half times that of the initially expectedreturns For the remaining two companies which did not announceextraordinarily good results the returns realized during the year werethe same as initially expected15 If Venkat earned a 35 return on average during the yearthen which of these statements would necessarily be trueI Company A belonged either to Auto or to Steel IndustryII Company B did not announce extraordinarily good resultsIII Company A announced extraordinarily good resultsIV Company D did not announce extraordinarily good results

(1) I and II only(2) II and III only(3) III and IV only(4) II and IV only

16 If Venkat earned a 3875 return on aveage during the yearthen which of these statement(s) would necessarily be trueI Company C belonged either to Auto or to Steel IndustryII Company D belonged either to Auto or to Steel IndustryIII Company A announced extraordinarily good resultsIV Company B did not announce extraordinarily good results(1) I and II only(2) II and III only(3) I and IV only(4) II and IV only

17 If Company C belonged to the Cement or the IT industry anddid announce extraordinarily good results then which of thesestatement(s) would ncessarily be trueI Venkat earned not more than 3625 return on averageII Venkat earned not less than 3375 return on averageIII If Venkat earned 3375 return on average Company Aannounced extraordinarily good resultsIV If Venkat earned 3375 return on average Company Bbelonged either to Auto or to Steel Industry(1) I and II only(2) II and IV only(3) II and III only(4) III and IV only

18 What is the minimum average return Venkat would have earnedduring the year(1) 30 (2) 31frac14 (3) 32frac12 (4) Cannot be determined

Directions for questions 19 to 20Help Distress (HD) is an NGO involved in providing assistance topeople suffering from natural disasters Currently it has 37 volunteersThey are involved in three projects Tsunami Relief (TR) in Tamil NaduFlood Relief (FR) in Maharashtra and Earthquake Relief (ER) in GujaratEach volunteer working with Help Distress has to be involved in at leastone relief work project1048698A Maximum number of volunteers are involved in the FR projectAmong them the number of volunteers involved in FR projectalone is equal to the volunteers having additional involvementin the ER project1048698The number of volunteers involved in the ER project alone is

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

8 The quantity moved from Avanti to Vidisha is(a) 200 (b) 800 (c) 700 (d) 1000

Directions for questions 9 to 11

SI No Country Capital Latitude Longitude1 Argentina Buenos Aires 3430 S 5820 E

2 Australia Canberra 3515 S 14908 E

3 Austria Vienna 4812 N 1622 E

4 Bulgaria Sofia 4245 N 2320 E

5 Brazil Brasilia 1547 S 4755 E

6 Canada Ottawa 4527 N 7542 E

7 Cambodia Phnom Penh 1133 N 10455 E

8 Equador Quito 015 S 7835 E

9 Ghana Accra 535 N 06 E

10 Iran Teheran 3544 N 5130 E

11 Ireland Dublin 5320 N 618 E

12 Libya Tripoli 3249 N 1307 E

13 Malaysia Kuala Lampur 39 N 10141 E

14 Peru Lima 1205 S 770 E

15 Poland Warsaw 5213 N 210 E

16 New Zealand

Wellington 4117 S 17447 E

17 Saudi Arabia Riyadh 2441 N 4642 E

18 Spain Madrid 4025 N 345 W

19 Sri Lanka Colombo 656 N 7958 E

20 Zambia Lusaka 1528 S 2816 E

9 What E (10-degree East and 40 degreedegE and 40degpercentage of cities located within 10 East) lie in the Southern Hemisphere1 15 2 20 3 25 4 30

10 The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table

1 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 12 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 23 is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 14 is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 2

11 The ratio of the number of countries whose name starts with vowels and located in the Southern Hemisphere to the number of countries the name of whose capital cities starts with a vowel in the table above is1 32 2 33 3 31 4 43

Directions for questions 12 to 14 The table below reports annual statistics related to rice production in select States of India for a particular year

State Total Area(in million hectares)

of Area UnderRice Cultivation

Production(in million tons)

Population(in millions)

Himachal Pradesh

6 20 12 6

Kerala 4 60 48 32Rajasthan 34 20 68 56

Bihar 10 60 12 83

Karnataka 19 50 19 53Haryana 4 80 192 21West Bengal 9 80 216 80Gujarat 20 60 24 51Punjab 5 80 24 24Madhya Pradesh

31 40 248 60

Tamil Nadu 13 70 273 62Maharashtra 31 50 48 97Uttar Pradesh 24 70 672 166Andhra Pradesh

28 80 112 76

12 Which two States account for the highest productivity of rice(tons produced per hectare of rice cultivation)(1) Haryana and Punjab(2) Punjab and Andhra Pradesh(3) Andhra Pradesh and Haryana(4) Uttar Pradesh and Haryana

13 How many States have a per capita production of rice(defined as total rice production divided by its population) greater thanGujarat(1) 3 (2) 4 (3) 5 (4) 6

14 An intensive rice producing State is defined as one whoseannual rice production per million of population is at least 400000 tonsHow many States are intensive rice producing States(1) 5 (2) 6 (3) 7 (4) 8

Directions for questions 15 to 18Venkat a stockbroker invested a part of his money in the stock offour companiesmdashA B C and D Each of these companies belonged todifferent industries viz Cement Information Technology (IT) Autoand Steel in no particular order At the time of investment the price ofeach stock was Rs 100 Venkat purchased only one stock of each ofthese companies He was expecting returns of 20 10 30 and40 from the stock of companies A B C and D respectively Returnsare defined as the change in the value of the stock after one yearexpressed as a percentage of the initial value During the year two ofthese companies announced extraordinarily good results One of thesetwo companies belonged to the Cement or the IT industry while theother one beloned to either the Steel or the Auto industry As a resultthe returns on the stocks of these two companies were higher than theinitially expected returns For the company belonging to the Cement orthe IT industry with extraordinarily good results the returns were twicethat of the initially expected returns For the company belonging to theSteel or the Auto industry the returns on announcement of extraordinarilygood results were only one and a half times that of the initially expectedreturns For the remaining two companies which did not announceextraordinarily good results the returns realized during the year werethe same as initially expected15 If Venkat earned a 35 return on average during the yearthen which of these statements would necessarily be trueI Company A belonged either to Auto or to Steel IndustryII Company B did not announce extraordinarily good resultsIII Company A announced extraordinarily good resultsIV Company D did not announce extraordinarily good results

(1) I and II only(2) II and III only(3) III and IV only(4) II and IV only

16 If Venkat earned a 3875 return on aveage during the yearthen which of these statement(s) would necessarily be trueI Company C belonged either to Auto or to Steel IndustryII Company D belonged either to Auto or to Steel IndustryIII Company A announced extraordinarily good resultsIV Company B did not announce extraordinarily good results(1) I and II only(2) II and III only(3) I and IV only(4) II and IV only

17 If Company C belonged to the Cement or the IT industry anddid announce extraordinarily good results then which of thesestatement(s) would ncessarily be trueI Venkat earned not more than 3625 return on averageII Venkat earned not less than 3375 return on averageIII If Venkat earned 3375 return on average Company Aannounced extraordinarily good resultsIV If Venkat earned 3375 return on average Company Bbelonged either to Auto or to Steel Industry(1) I and II only(2) II and IV only(3) II and III only(4) III and IV only

18 What is the minimum average return Venkat would have earnedduring the year(1) 30 (2) 31frac14 (3) 32frac12 (4) Cannot be determined

Directions for questions 19 to 20Help Distress (HD) is an NGO involved in providing assistance topeople suffering from natural disasters Currently it has 37 volunteersThey are involved in three projects Tsunami Relief (TR) in Tamil NaduFlood Relief (FR) in Maharashtra and Earthquake Relief (ER) in GujaratEach volunteer working with Help Distress has to be involved in at leastone relief work project1048698A Maximum number of volunteers are involved in the FR projectAmong them the number of volunteers involved in FR projectalone is equal to the volunteers having additional involvementin the ER project1048698The number of volunteers involved in the ER project alone is

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

10 The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table

1 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 12 exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 23 is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 14 is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 2

11 The ratio of the number of countries whose name starts with vowels and located in the Southern Hemisphere to the number of countries the name of whose capital cities starts with a vowel in the table above is1 32 2 33 3 31 4 43

Directions for questions 12 to 14 The table below reports annual statistics related to rice production in select States of India for a particular year

State Total Area(in million hectares)

of Area UnderRice Cultivation

Production(in million tons)

Population(in millions)

Himachal Pradesh

6 20 12 6

Kerala 4 60 48 32Rajasthan 34 20 68 56

Bihar 10 60 12 83

Karnataka 19 50 19 53Haryana 4 80 192 21West Bengal 9 80 216 80Gujarat 20 60 24 51Punjab 5 80 24 24Madhya Pradesh

31 40 248 60

Tamil Nadu 13 70 273 62Maharashtra 31 50 48 97Uttar Pradesh 24 70 672 166Andhra Pradesh

28 80 112 76

12 Which two States account for the highest productivity of rice(tons produced per hectare of rice cultivation)(1) Haryana and Punjab(2) Punjab and Andhra Pradesh(3) Andhra Pradesh and Haryana(4) Uttar Pradesh and Haryana

13 How many States have a per capita production of rice(defined as total rice production divided by its population) greater thanGujarat(1) 3 (2) 4 (3) 5 (4) 6

14 An intensive rice producing State is defined as one whoseannual rice production per million of population is at least 400000 tonsHow many States are intensive rice producing States(1) 5 (2) 6 (3) 7 (4) 8

Directions for questions 15 to 18Venkat a stockbroker invested a part of his money in the stock offour companiesmdashA B C and D Each of these companies belonged todifferent industries viz Cement Information Technology (IT) Autoand Steel in no particular order At the time of investment the price ofeach stock was Rs 100 Venkat purchased only one stock of each ofthese companies He was expecting returns of 20 10 30 and40 from the stock of companies A B C and D respectively Returnsare defined as the change in the value of the stock after one yearexpressed as a percentage of the initial value During the year two ofthese companies announced extraordinarily good results One of thesetwo companies belonged to the Cement or the IT industry while theother one beloned to either the Steel or the Auto industry As a resultthe returns on the stocks of these two companies were higher than theinitially expected returns For the company belonging to the Cement orthe IT industry with extraordinarily good results the returns were twicethat of the initially expected returns For the company belonging to theSteel or the Auto industry the returns on announcement of extraordinarilygood results were only one and a half times that of the initially expectedreturns For the remaining two companies which did not announceextraordinarily good results the returns realized during the year werethe same as initially expected15 If Venkat earned a 35 return on average during the yearthen which of these statements would necessarily be trueI Company A belonged either to Auto or to Steel IndustryII Company B did not announce extraordinarily good resultsIII Company A announced extraordinarily good resultsIV Company D did not announce extraordinarily good results

(1) I and II only(2) II and III only(3) III and IV only(4) II and IV only

16 If Venkat earned a 3875 return on aveage during the yearthen which of these statement(s) would necessarily be trueI Company C belonged either to Auto or to Steel IndustryII Company D belonged either to Auto or to Steel IndustryIII Company A announced extraordinarily good resultsIV Company B did not announce extraordinarily good results(1) I and II only(2) II and III only(3) I and IV only(4) II and IV only

17 If Company C belonged to the Cement or the IT industry anddid announce extraordinarily good results then which of thesestatement(s) would ncessarily be trueI Venkat earned not more than 3625 return on averageII Venkat earned not less than 3375 return on averageIII If Venkat earned 3375 return on average Company Aannounced extraordinarily good resultsIV If Venkat earned 3375 return on average Company Bbelonged either to Auto or to Steel Industry(1) I and II only(2) II and IV only(3) II and III only(4) III and IV only

18 What is the minimum average return Venkat would have earnedduring the year(1) 30 (2) 31frac14 (3) 32frac12 (4) Cannot be determined

Directions for questions 19 to 20Help Distress (HD) is an NGO involved in providing assistance topeople suffering from natural disasters Currently it has 37 volunteersThey are involved in three projects Tsunami Relief (TR) in Tamil NaduFlood Relief (FR) in Maharashtra and Earthquake Relief (ER) in GujaratEach volunteer working with Help Distress has to be involved in at leastone relief work project1048698A Maximum number of volunteers are involved in the FR projectAmong them the number of volunteers involved in FR projectalone is equal to the volunteers having additional involvementin the ER project1048698The number of volunteers involved in the ER project alone is

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

12 Which two States account for the highest productivity of rice(tons produced per hectare of rice cultivation)(1) Haryana and Punjab(2) Punjab and Andhra Pradesh(3) Andhra Pradesh and Haryana(4) Uttar Pradesh and Haryana

13 How many States have a per capita production of rice(defined as total rice production divided by its population) greater thanGujarat(1) 3 (2) 4 (3) 5 (4) 6

14 An intensive rice producing State is defined as one whoseannual rice production per million of population is at least 400000 tonsHow many States are intensive rice producing States(1) 5 (2) 6 (3) 7 (4) 8

Directions for questions 15 to 18Venkat a stockbroker invested a part of his money in the stock offour companiesmdashA B C and D Each of these companies belonged todifferent industries viz Cement Information Technology (IT) Autoand Steel in no particular order At the time of investment the price ofeach stock was Rs 100 Venkat purchased only one stock of each ofthese companies He was expecting returns of 20 10 30 and40 from the stock of companies A B C and D respectively Returnsare defined as the change in the value of the stock after one yearexpressed as a percentage of the initial value During the year two ofthese companies announced extraordinarily good results One of thesetwo companies belonged to the Cement or the IT industry while theother one beloned to either the Steel or the Auto industry As a resultthe returns on the stocks of these two companies were higher than theinitially expected returns For the company belonging to the Cement orthe IT industry with extraordinarily good results the returns were twicethat of the initially expected returns For the company belonging to theSteel or the Auto industry the returns on announcement of extraordinarilygood results were only one and a half times that of the initially expectedreturns For the remaining two companies which did not announceextraordinarily good results the returns realized during the year werethe same as initially expected15 If Venkat earned a 35 return on average during the yearthen which of these statements would necessarily be trueI Company A belonged either to Auto or to Steel IndustryII Company B did not announce extraordinarily good resultsIII Company A announced extraordinarily good resultsIV Company D did not announce extraordinarily good results

(1) I and II only(2) II and III only(3) III and IV only(4) II and IV only

16 If Venkat earned a 3875 return on aveage during the yearthen which of these statement(s) would necessarily be trueI Company C belonged either to Auto or to Steel IndustryII Company D belonged either to Auto or to Steel IndustryIII Company A announced extraordinarily good resultsIV Company B did not announce extraordinarily good results(1) I and II only(2) II and III only(3) I and IV only(4) II and IV only

17 If Company C belonged to the Cement or the IT industry anddid announce extraordinarily good results then which of thesestatement(s) would ncessarily be trueI Venkat earned not more than 3625 return on averageII Venkat earned not less than 3375 return on averageIII If Venkat earned 3375 return on average Company Aannounced extraordinarily good resultsIV If Venkat earned 3375 return on average Company Bbelonged either to Auto or to Steel Industry(1) I and II only(2) II and IV only(3) II and III only(4) III and IV only

18 What is the minimum average return Venkat would have earnedduring the year(1) 30 (2) 31frac14 (3) 32frac12 (4) Cannot be determined

Directions for questions 19 to 20Help Distress (HD) is an NGO involved in providing assistance topeople suffering from natural disasters Currently it has 37 volunteersThey are involved in three projects Tsunami Relief (TR) in Tamil NaduFlood Relief (FR) in Maharashtra and Earthquake Relief (ER) in GujaratEach volunteer working with Help Distress has to be involved in at leastone relief work project1048698A Maximum number of volunteers are involved in the FR projectAmong them the number of volunteers involved in FR projectalone is equal to the volunteers having additional involvementin the ER project1048698The number of volunteers involved in the ER project alone is

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

(1) I and II only(2) II and III only(3) III and IV only(4) II and IV only

16 If Venkat earned a 3875 return on aveage during the yearthen which of these statement(s) would necessarily be trueI Company C belonged either to Auto or to Steel IndustryII Company D belonged either to Auto or to Steel IndustryIII Company A announced extraordinarily good resultsIV Company B did not announce extraordinarily good results(1) I and II only(2) II and III only(3) I and IV only(4) II and IV only

17 If Company C belonged to the Cement or the IT industry anddid announce extraordinarily good results then which of thesestatement(s) would ncessarily be trueI Venkat earned not more than 3625 return on averageII Venkat earned not less than 3375 return on averageIII If Venkat earned 3375 return on average Company Aannounced extraordinarily good resultsIV If Venkat earned 3375 return on average Company Bbelonged either to Auto or to Steel Industry(1) I and II only(2) II and IV only(3) II and III only(4) III and IV only

18 What is the minimum average return Venkat would have earnedduring the year(1) 30 (2) 31frac14 (3) 32frac12 (4) Cannot be determined

Directions for questions 19 to 20Help Distress (HD) is an NGO involved in providing assistance topeople suffering from natural disasters Currently it has 37 volunteersThey are involved in three projects Tsunami Relief (TR) in Tamil NaduFlood Relief (FR) in Maharashtra and Earthquake Relief (ER) in GujaratEach volunteer working with Help Distress has to be involved in at leastone relief work project1048698A Maximum number of volunteers are involved in the FR projectAmong them the number of volunteers involved in FR projectalone is equal to the volunteers having additional involvementin the ER project1048698The number of volunteers involved in the ER project alone is

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

double the number of volunteers involved in all the three projects104869817 volunteers are involved in the TR project1048698The number of volunteers involved in the TR project alone isone less than the number of volunteers involved in ER projectalone1048698Ten volunteers involved in the TR project are also involved inat least one more project

19 Based on the information given above the minimum numberof volunteers involved in both FR and TR projects but not in the ERproject is(1) 1 (2) 3 (3) 4 (4) 5

20 Which of the following additional information would enable tofind the exact number of volunteers involved in various projects(1) Twenty volunteers are involved in FR(2) Four volunteers are involved in all the three projects(3) Twenty three volunteers are involved in exactly one project(4) No need for any additional information

Directions for questions 21 to 24 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 roundsbefore the final ie first round second round quarterfinals and semifinalsIn the first round the highest seeded player plays the lowestseeded player (seed 32) which is designated match No 1 of firstround the 2nd seeded player plays the 31st seeded player whichis designated match No 2 of the first round and so on Thus forinstance match No 16 of first round is to be played between16th seeded player and the 17th seeded player In the second roundthe winner of match No 1 of first round plays the winner of matchNo 16 of first round and is designated match No 1 of second roundSimilarly the winner of match No 2 of first round plays the winner ofmatch No 15 of first round and is designated match No 2 of secondround Thus for instance match No 8 of the second round is to beplayed between the winner of match No 8 of first round and the winnerof match No 9 of first round The same pattern is followed for laterrounds as well

Seed Player Seed Player1 Maria Sharapova 17 Jelena Jankovic2 Lindsay Davenport 18 Ana Ivanovic3 Amelie Mauresmo 19 Vera Zvonareva4 Kim Clijsters 20 Elena Likhovtseva5 Svetlana Kuznetsova 21 Daniela Hantuchova

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

6 Elena Dementieva 22 Dinara Safina7 Justine Henin Hardin 23 Silvia Farina Elia8 Serena Williams 24 Tatiana Golovin9 Nadia Petrova 25 Shinobu Asagoe10 Venus Williams 26 Francesca Schiavone11 Patty Schnyder 27 Nicole Vaidisova12 Mary Pierce 28 Gisela Dulko13 Anastasia Myskina 29 Flavia Pennetta14 Alicia Molik 30 Anna Chakvetadze15 Nathalie Dechy 31 Ai Sugiyama16 Elena Bovina 32 Anna-lena Groenefeld21 If there are no upsets (a lower seeded player beating a higherseeded player) in the first round and only match Nos 6 7 and 8 of thesecond round result in upsets then who would meet Lindsay Davenportin quarter finals in case Davenport reaches quarter finals(1) Justine Henin (2) Nadia Petrova(3) Patty Schnyder (4) Venus Williams

22 If the top eight seeds make it to the quarterfinals then whoamongst the players listed below would definitely not play against MariaSharapova in the final in case Sharapova reaches the final(1) Amelie Mauresmo (2) Elena Dementieva(3) Kim Clijsters (4) Lindsay Davenport

23 If in the first round all even numbered matches (and none ofthe odd numbered ones) result in upsets and there are no upsets in thesecond round then who could be the lowest seeded player facing MariaSharapova in semi-finals(1) Anastasia Myskina (2) Flavia Pennetta(3) Nadia Petrova (4) Svetlana Kuznetsova

24 If Elena Dementieva and Serena Williams lose in the secondround while Justine Henin and Nadia Petrova make it to the semi-finalsthen who would play Maria Sharapova in the quarterfinals in the eventSharapova reaches quarterfinals(1) Dinara Safina (2) Justine Henin(3) Nadia Petrova (4) Patty Schnyder

Directions for questions 25 to 28 A health companys RampD 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 (O P Q R and S) which can be used in different proportions in the formulations The table below gives the composition of these ingredients The cost per unit of each of these ingredients is 0 150 P 50 Q 200 R 500 S 100

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S

Ingredient

Composition

Carbohydrate

Protein

Fat

Minerals

O 50 30 10 10P 80 20 0 0Q 10 30 50 10R 5 50 40 5S 45 50 0 5

25 For a recuperating patient the doctor recommended a diet containing 10 minerals and at least 30 protein In how many different ways can we prepare this diet by mixing at least two ingredients

(1) One (2) Two (3) Three (4) Four (5) None

26 Which among the following is the formulation having the lowest cost per unit for a diet having 10 fat and at least 30 protein The diet has to be formed by mixing two ingredients

(1) P and Q (2) P and S (3) P and R (4) Q and S (5) R and S

27 In what proportion P Q and S should be mixed to make a diet having at least 60 carbohydrate at the lowest per unit cost

(1) 213 (2) 412 (3) 214 (4) 312 (5) 411

28 The company is planning to launch a balanced diet required for growth needs 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 is feasible

(1) O and P (2) R and S (3) P and S (4) Q and R (5) O and S