Proc Mock 4 Solutions.pdf

Page 1 Proctored Mock CAT-4 2012

�Proctored Mock CAT-4 2012

Answers and Explanations

1 a 2 a 3 b 4 c 5 a 6 d 7 a 8 c 9 b 10 a

11 d 12 b 13 b 14 d 15 b 16 b 17 d 18 c 19 a 20 b

21 b 22 c 23 a 24 c 25 c 26 c 27 b 28 b 29 c 30 c

31 d 32 b 33 d 34 a 35 c 36 d 37 b 38 b 39 a 40 b

41 c 42 a 43 d 44 d 45 b 46 d 47 b 48 d 49 c 50 d

51 a 52 d 53 b 54 b 55 d 56 b 57 c 58 d 59 d 60 c


1. a A = {1, 4, 7, 10, …, 2004 terms}B = {9, 16, 23, 30, ..., 2004 terms}We first need to find n(A∩B).The nth term of A = 1 + (n – 1)3 = 3n – 2.The mth term of B = 9 + (m – 1)7 = 7m + 2.n(A∩B) will be equal to the number of solutions of3n – 2 = 7m + 2, where n and m are natural numbersless than 2005.

7m 4n

3

+⇒ =

If m = 2, n = 6;m = 5, n = 13;...m = 857, n = 2001.

� n(A∩B) = 857 2

13

− + = 286

Hence, n(A∪ B) = n(A) + n(B) – n(A∩B)= 2004 + 2004 – 286 = 3722.

2. a Let the C.P. of the article be �x.

�1920 x x 1280

100 100x x

− −× = ×

⇒ 1920 – x = x – 1280⇒ 2x = 3200⇒ x = 1600Hence, to make a profit of 25%, the S.P.= 125% of 1600 = �2,000.

3. b Let the number of games won and those lost by theman be Nw and Nl respectively.Since he gains $2, Nw – Nl = 2.Also, he does not lose more than twice.The possible cases are (W → Win and L → Loss):

Case (i): Nw = 2 and Nl = 0.The only possible sequence is WW.

Case (ii): Nw = 3 and Nl = 1.Possible sequences: LWWW and WLWW.

Case (iii): Nw = 4 and Nl = 2.Possible sequences: LWLWWW, LWWLWW, WLWLWWand WLLWWW.

Hence, the total number of possible Win-Losssequences = 1 + 2 + 4 = 7.

4. c21

m(say),2n 1

=−

where m is an integer.

For m to be an integer, (2n – 1) should be 1, 3, 7 or 21i.e. one of the factors of 21.

Hence, the number of integers in the sequence is 4.

5. a Interior angle of an n–sided regular polygon

= ( )n 2

n

− π= θ

2n

π⇒ =π − θ

The number of diagonals in an n–sided polygon

= n2C n− = kn

( )n n 3kn

2

−⇒ =

n 3k

2−⇒ =

Hence, ( )

23

3k

2 2

π − θ − ππ − θ = =π − θ

.

Alternate solution:If the polygon is an equilateral triangle, then, k = 0 and

60 .θ = ° Only options (a) and (b) satisfy theseconditions.

If the polygon is a square, then, 1

k and 90 .2

= θ = °

Between (a) and (b), only option (a) satisfies theseconditions. Hence, it has to be the answer.

6. d Had x been a positive real number, then66

x 66x x ( A.M. G.M.)2 x66

x 2 66x

66x 16.24

x

+≥ × ≥

⇒ + ≥

⇒ + ≥

�

Since x < 0, 66x 16.24

x+ ≤ −

Hence, the maximum possible integer value of y is–17.

7. a Percentage increase in the number of copies sold by‘Sare Khabar’ from 2008 to 2011 = x

5.2 4.5100 15.56%

4.5−= × =

Percentage increase in the number of copies sold by‘Bharat Times’ from 2008 to 2011 = y

4.25 3.4100 25%

3.4−= × =

Hence, |x – y| = 25 – 15.56 = 9.44

8. c The number of copies sold by ‘Paper of India’ increasedin both 2008 and 2009 over the previous year.


9. b The ranks of different newspapers for the five yearsare shown in the table given below.

2007 2008 2009 2010 2011

1 PI PI PI TH TH

2 SS SK SK BT SK

3 TH TH TH SK BT

4 DU SS BT DU DU

5 SK BT SS PI PI

6 BT DU TN TN TN

7 TN TN DU SS SS

We can see from the table that ‘Bharat Times’ (BT) gota different rank every time.

10. a ( ) ( )2 2 2 2AB 2 6 9 3 8 6 10= − − + − = + =

As A and B lie on the circumference of the circle,diameter of the circle must be greater than or equal toAB. So the radius must be greater than or equal to 5.Hence, the radius of the circle cannot be 3.

11. d 01

12

23

34

99100

1 2 3 4 100

0 1 2 3 99 100

f 2 1

f 2 1

f 2 1

f 2 1

f 2 1

f f f f f

2 2 2 2 2 2 1

= +

= −

= +

= −

= −∴ + + + + + =

+ + + + + = −

�

�

�

100 1002 1 2 1Rem Rem

127 127 127

− = −

7 14 2

14 2

2

(2 ) 2 1Rem

127 127

(1 127) 2 1Rem

127 127

2 1Rem 3

127

×= − + ×= − −= =

Hence, the remainder is 3.

12. b Let the side of the squares be ‘a’ cm.So the dimensions of the open box will be:Length = (30 – 2a) cmBreadth = (20 – 2a) cmHeight = a cm� (30 – 2a) × (20 – 2a) × a = 1056

� (15 – a) × (10 – a) × a = 264 = 11 × 6 × 4Hence, a = 4.

13. b Let the number of red, black and yellow fishes in theaquarium initially be 5x, x and 4x respectively and thatleft in the aquarium be 5y, 3y and 7y respectively.

∴ x = 3y x 3y 1

⇒ =

In order to minimize the number of fishes in the aquariuminitially, the value of x must be taken as least possiblei.e. 3.Hence, 5x + x + 4x = 10x

= 10 3 30× =

14. d Let ∆1 be the area of the circle outside the square and∆2 be the area of the square outside the circle.Given, ∆1 = ∆2.Area of the square inside the circle = πr2 – ∆1Total area of the square = area of the square insidethe circle + area of the square outside the circle = πr2 – ∆1 + ∆2 = πr2.

15. b p7 8 9 10 ... 135 n (720)× × × × × = ×

p 4 2 p135n (720) n (2 3 5)

6= × = × × ×

In order to find the maximum possible value of p, we

have to calculate the highest power of 720 in 135

6.

Highest power of 24 in 135 131 431

6 4− = =

Highest power of 32 in 135 66 2

326 2

− = =

Highest power of 5 in [ ]13533 1 32

6= − =

where [ ] denotes the Greatest Integer Function.

Therefore, the highest power of 720 in 135

6 is 31.

Hence, the maximum possible value of p is 31.

16. b As Nancy’s Savings were 2.5 times the amountinvested by the couple in Mutual Funds, i.e. 21% oftheir total savings, Nancy’s savings were 52.5% oftheir total savings and remaining 47.5% was of Ryan.∴ Ratio of their savings = 47.5 : 52.5 = 19 : 21

13% of the income of Ryan 1927% of the income of Nancy 21

⇒ =

Income of Ryan 19 27 171.

Income of Nancy 21 13 91⇒ = × =


17. d Let the income of Ryan be IR and that of Nancy be IN.

( )R R12% of I 27% of I 200000= −

R15% of I 27%of 200000⇒ =

R27

I 20000015

⇒ = × = �3,60,000

( )N NAlso, 10% of I 18% of I 200000= −

N8% of I 18%of 200000⇒ =

⇒ = ×N18

I 2000008

= �4,50,000

Hence, total income of the couple = IN + IR = �8,10,000

18. c Let the income of Nancy be IN and that of Ryan be IR.

N

N

R R

25II4 24100

30I 5 I 25100

= ⇒ =

Let IN = 24k, then IR = 25k.

24k 27 25k 13194600 k 20000

100 100× ×+ = ⇒ =

Hence, the money spent by Ryan on

Entertainment = 25k 18

100×

= �90,000.

19. a Let the bowlers be represented by B1, B2, B3, …, Bn.If a particular bowler B1 (say) did not bowl in pair withtwo other bowlers, B2 and B3 (say), then B2 and B3also did not bowl in pair with every bowler in the team.Therefore, at least three bowlers must not have bowledin pair with every other bowler in the team.Hence, the maximum number of bowlers who couldhave bowled in pair with every other bowler in theteam is n – 3.

20. b Let the lengths of AF and EC be 3x and 2x respectively

and ∠ DAC be θ .

Thus, AE = 4x and CAB∠ = θ .

From Statement A:We have,AD : AE = 5 : 4As AE = 4x, AD = 5x.

1AC AD sin 6 52Required ratio 5 : 2.

1 3 4AF AE sin2

× × × θ ×∴ = = =×× × × θ

Hence, Statement A alone is sufficient.

From Statement B:We have,AF : AD = 3 : 5As AF = 3x, AD = 5x.

× × × θ ×∴ = = =×× × × θ

1AC AD sin 6 52Required ratio 5 : 2.

1 3 4AF AE sin2

Hence, Statement B alone is sufficient.

21. b Let the speed of car A be s km/hr. Therefore, thespeed of car B must have been (s + 12)km/hr.According to the given condition, there are twopossible cases: Either A was 91 km ahead of B or Awas 91 km behind B.Case (i): A was 91 km ahead of B.

× − + × =

⇒

21s (s 12) 7 91

2s = 50

Case (ii): A was 91 km behind B.

+ × − × =

⇒ −

21(s 12) 7 s 91

2s = 2

Since s cannot be negative, it has to be 50.

22. c If a number of the set S2 is divisible by at least fourdistinct prime numbers of the set S1, then it will bedivisible by their product as well.The number of numbers in S2 divisible by the productof 2, 3, 5 and 7, i.e. 210 = 3.The number of numbers in S2 divisible by the productof 2, 3, 5 and 11, i.e. 330 = 2.The number of numbers in S2 divisible by the productof 2, 3, 5 and 13, i.e. 390 = 1.The number of numbers in S2 divisible by the productof 2, 3, 5 and 17, i.e. 510 = 1.The number of numbers in S2 divisible by the productof 2, 3, 5 and 19, i.e. 570 = 1.The number of numbers in S2 divisible by the productof 2, 3, 5 and 23, i.e. 690 = 1.The number of numbers in S2 divisible by the productof 2, 3, 7 and 11, i.e. 462 = 1.The number of numbers in S2 divisible by the productof 2, 3, 7 and 13, i.e. 546 = 1.There is no other combination of four or more primenumbers in set S1 that divides any of the elements ofset S2.Hence, the required number of elements = 11.


For questions 23 to 25:Since each department appears four times in the givencombinations, the total number of employees in the organization

= 870 600 780 670 630 850 640

4+ + + + + +

= 1260.

The number of employees in MR department = (MR, HR, FN, OP+ TC, TL, AD, MR) – 1260 = (870 + 600) – 1260 = 210.Similarly, the number of employees in HR, FN, OP, TC, TL andAD are 190, 220, 250, 120, 40 and 230 respectively.

Using the information given in the graph, the data can betabulated as shown below.

DepartmentTotal number of employees

Male employees

Female employees

MR 210 147 63

HR 190 76 114

FN 220 143 77

OP 250 175 75

TC 120 96 24

TL 40 30 10

AD 230 138 92

23. a The ratio = 114 19

, i.e. 19:16.96 16

=

24. c The difference between the number of maleemployees and the number of female employees isthe highest in OP department, i.e. 100.

25. c The percentage =

(147 143 138) (114 75 92)100

(114 75 92)

147100 52.

281

+ + − + + ×+ +

= × ≈

26. c log x105 log 510x 50+ =

⇒ + =log logx x10 105 5 50 (Since log c log ab ba c= )

⇒ ⋅ =log x102 5 50

log x 2105 25 5⇒ = =

⇒ 10log x 2= ⇒ x = 100

27. b Given, 1 68 5

x 31 21 21yz

+ = = ++

.

As x is a natural number, the only possible value of xis 3.

1 21 1y 4

z 5 5∴ + = = +

As y and z are natural numbers, the only possiblevalues of y and z are 4 and 5 respectively.

x y z 3 4 5 12.∴ + + = + + =

28. b His shop must have been visited by at least90 customers.The number of customers who bought both Rose andTulip = 70.The rest 20 customers must have bought just 1 Tulipeach.

29. c From Statement A: As the sum of x, y and their LCMis 11, the possible pairs of the values of x and y will be(1, 5) and (2, 3).Therefore, the product of x and y is either 5 or 6.Hence, Statement A alone is not sufficient.

From Statement B: As x + y = 5, the possible pairsof the values of x and y will be (1, 4) and (2, 3).Therefore, the product of x and y is either 4 or 6.Hence, Statement B alone is not sufficient.

From Statements A and B: Combining the twostatements, we get the product of x and y as 6.

30. c Let the number of volunteers be x.� the number of members = 1.4xTotal contribution made by the members= 1100 × 1.4x = �1540xNow,� �1540x is 88% of the total amount raised,therefore, the remaining 12% = �210x.Hence, the average contribution made by the

volunteers = 210x

x= �210.

31. d Option (a) is not the author’s opinion but one of theplanks of a theory. Option (b) is derived from rhetoricalquestions which the author had raised during thecourse of the passage and gives opinions asanswers. Option (d) can be inferred from the lines, “Inpractice those political systems we call democraciesgive their citizens only a very limited role in government.They are entitled to vote at periodic elections, they areoccasionally consulted through a referendum whensome major constitutional question…”


32. b Refer to the lines in the last paragraph, “The reason isthat there is a widespread belief that ordinary peopleare simply not competent to understand the issuesthat lie behind political decisions, and so they are happyto hand these decisions over to people they regard asbetter qualified to deal with them. An uncompromisingstatement of this point of view can be found in JosephSchumpeter’s book Capitalism, Socialism andDemocracy (1943), where it is argued that the citizen’sjob is to choose a team of leaders to represent him orher, not to attempt to decide issues directly.” All theother options are refuted by the author in the passage.

33. d Option (a) is correct. Refer to the lines, “they areoccasionally consulted through a referendum whensome major constitutional question has to be decided.”Option (b) can be inferred from the lines, “and theyare allowed to form groups to lobby theirrepresentatives on issues that concern them…” Option(c) is also correct, “Real power to determine the futureof democratic societies rests in the hands of aremarkably small number of people – governmentministers, civil servants, and to some extent membersof parliament or other legislative assembly.”

34. a Sentence 1 is incorrect because it incorrectly usesthe phrase at the outside of. “At the outside” means atthe most. The correct usage was “outside of” whichmeans outside or on the outer limit/surface. Sentence2 is incorrect because it has an oft-used but incorrectphrase “in this regards”. The correct phrase is “in thisregard” which means on this point. Sentences 3 and 4are correct and hence the answer is option (a).

35. c As Niret got Rank 5 in Physics, Usha must have gotRank 4 and Rank 5 in Physics and Chemistryrespectively. Since Rehan’s rank was better thanSoni’s rank in Physics, Rehan must have secured eitherRank 1 or Rank 2. However, had Rehan got Rank 1 inPhysics, the number of students with ranks betweenNiret and Rehan could not have been equal in the twotests. So, Rehan must have secured Rank 2 in Physics.Since there were two people between Niret and Rehanin Physics, they must have got Ranks 1 and 4 inChemistry. Niret could not have got Rank 4 as he, inthat case, would have become the second personbesides Usha to be in the bottom two in both the tests.The final arrangement is given below.

Rank

Subject

Physics Priya Rehan Soni Usha Niret

Chemistry Niret Soni Priya Rehan Usha

51 2 3 4

As we can see, Rehan got Rank 4 in Chemistry.

36. d AB is a mandatory pair as B gives specific examplesof the ‘series of covert warfare blows….’ in A. CD isalso a mandatory pair as the ‘a more prudentexplanation’ of D has its beginning in C.A starts theparagraph. This makes Option (d) the best option.

37. b The author explains how a great artist is notunderstood by the masses and is mocked by them.Satire, the author says, which was used to mock theartist paid him homage as this mockery confirmed therightness of the artist’s work. Option (b) goes on toexplain this by stating the reason for this confirmation.

38. b Option (a) can be ruled out because it mentions themedium used by the Bushmen for their paintings whilethe penultimate sentence describes a specific paintingin the Bleeding Nose Shelter. Option (b) is the answerbecause it is a conclusion to the information stated inthe paragraph. Option (c) can be ruled out because itmentions the Sonya’s Cave Shelters whereas theparagraph has specifically discussed the BleedingNose Shelter. Option (d) is incorrect because the tonedoes not match with that stated in the paragraph – thedescription of the paintings has been made in thepresent tense.

For questions 39 to 41:From statement (i), the annual incomes (in lakhs) of Anuj, Bindraand Dipanshu are 4, 6 and 8, not necessarily in that order.From statement (ii), the person whose earns the highest saves35% of his/her income and Chitra saves 25% of her income.However, from statement (iii), Eshan’s income is the least, i.e.3 lakhs. Hence, the incomes of Chitra and Farhan are 10 lakhsand 16 lakhs respectively.From statement (iii), Eshan’s income is 3 lakhs and his savingsare one-twelfth of the savings of the person who invests inMF; this is possible only if Eshan saves 10% because if it ismore than 10%, the savings of any other person cannot betwelve times that of Eshan’s savings. Thus, we can concludethat the person who invests his savings in MF earns 6 lakhsand saves 60% of his income.Now, from statements (i), (iv) and (v), the following conclusionscan be drawn.

Dipanshu Anuj Bindra Chitra

↓ ↓ ↓ ↓6 (60%) + 8 (40%) = 4 (20%) + 10 (25%)

↓ ↓ ↓ ↓ MF Commodities Shares Bonds


The final arrangement has been tabulated below.

Name Income (in lakhs)

Percentage Savings

Savings (in lakhs)

Instrument

Anuj 8 40 3.2 Commodities

Bindra 4 20 0.8 Shares

Chitra 10 25 2.5 Bonds

Dipanshu 6 60 3.6 MF

Eshan 3 10 0.3 FD

Farhan 16 35 5.6 RS

39. a The difference = 2.5 – 0.3 = 2.2 lakhs

40. b Chitra invests her savings in Bonds.

41. c The annual income of Farhan is 16 lakhs.

42. a The paragraph discusses virtue and specifically onesuch as honesty or generosity. The paragraph endsby discussing the disposition of a virtuous person.Option (a) follows because it comments further onthis point and presents evidence on the multi-facetedtrack of this disposition. Option (b) can be ruled outbecause it abruptly ends the paragraph – whereasthe penultimate sentence suggests that the authorshall, in the next sentence, explain her point. Option(c) comments on the most significant aspect of thismindset, whereas the paragraph has just started toexplain the mindset/disposition. Option (c) shouldappear only once the author presents at leastintroductory aspects of the disposition. Option (d) canbe ruled out because it is too specific – the paragraphis concerned with virtue and the disposition of avirtuous person.

43. d To talk a good game means to sound convincing, evenif not sincere. To talk your way out of something meansto make excuses and give reasons for not doingsomething. To talk at someone means to say somethingto somebody without listening to their reply. The correctphrasal verb in option (d) is ‘talk down’ which meansto speak to somebody as if they were less importantthan you. The correct expression is “she usually talksdown to her peers”.

44. d We can infer option (b) from the lines,” But beginningin the early 1400s, other categories of sitters, such aswomen, well-to-do merchants, and even artists, alsobegan to be represented in ever-greater numbers inindependent portraits.” This supports the statementgiven in the question. Refer to the lines,” independentpainted portraits of a very small number of kings andpontiffs had existed “This explains that discovery ofportraits of kings etc. belonging to a period prior to theRenaissance is not unusual and does not mitigatesthe given statement. Hence options (a) and (c) are notthe correct choices. Option (d) states that womenand merchants etc. featured prominently in many

paintings prior to the Renaissance. This, if true, meansthat the explosion mentioned in the passage was notsudden and did not belong to Renaissance but was aphenomenon which had started earlier.

45. b The passage focuses on the rise of the idea ofindividualism during the Renaissance. The ideas statedin the passage explain how the focus shifted towardsdepicting individual qualities of the person(s) beingportrayed. This comes out clearly in option (b) wherethe portrait depicts through the painting the qualities ofthe Duke (courage and determination). The passageis silent on Renaissance being a period where thepictures depicted reality .Hence options (a) and (c)are incorrect. Option (d) is beyond the scope of thepassage as it talks about the technique and not theeffect.

46. b Option (a) has been mentioned in the passage but isnot the main idea of the passage. Option (b) is alsoincorrect because the author does not dwell on thePre-Renaissance period. Refer to the lines,” there isno doubt that the Renaissance did see an explosion inthe production of painted and sculpted portraits ofrecognizable individuals……..” and “And even inportraits of the traditional elite, a growing interest inindividual psychology and physiology is evident,thereby reflecting the period’s new approaches todepicting space, nature, and human anatomyincreasingly naturalistically.” Option (d) is correct asthe author acknowledges that the concept ofindividuality had manifested itself in this period.

For questions 47 and 48:From statements (i), (iii) and (v), the number of cases heard bythree of the benches were 7, 10 and 11.Thus, the sum of the number of cases heard by the other twobenches = 40 – 7 – 10 – 11 = 12.Since two of the benches heard an equal number of cases,the cases heard by the five benches were either 5, 7, 7, 10and 11 or 6, 6, 7, 10 and 11.From statement (ii), B1 heard 5 cases more than B4, therefore,the number of cases heard by B1 was either 10 or 11. However,from statement (v), B5 heard 11 cases. Therefore, the numberof cases heard by B1 was 10 and B4 was 5.The benches headed by Justice Kalra and Justice Binay heard7 cases each and the one headed by Justice Pakad heard 10cases. From statement (iv), Justice Raunak’s bench must haveheard 5 cases.The final table is given below.

Bench B1 B2 B3 B4 B5

Num ber of cases

10 7 7 5 11

Jus tice Pakad Kalra Binay Raunak

47. b B2 and B3 together heard 14 cases.

48. d B4 – Raunak – 5 is the correct combination.


49. c Complaint will be directed towards a problem. Hence‘stumble’ cannot be considered. In the second blankwe need a noun that refers to parts (of theproblem).’Sinter’ which means a chemical sediment orcrust, as of porous silica, deposited by a mineral springdoes not fit the blank. Elements is the best choice forthe second blank.

50. d ‘To tap someone for something’ means that youpersuade them to give you something you want,especially money. ‘To tap in something’ means to forceit into a surface by hitting it with light blows. ‘To tap outa sound’ means to produce it by hitting a surfacelightly. The correct phrasal verb in option (d) is tap intowhich means when they manage to obtain energy ormoney etc. from a resource pool. The correctexpression is “she tapped into the university’s privatefunds.”

51. a AD is a mandatory pair. “That something” mentioned inD refers to “in my nature something that”. This eliminatesoption C.C should be followed by A.BE is anothermandatory pair. “It” in B and E refers to Humilitymentioned in D. Hence BE should follow D.

52. d Options (b) and (c) can be inferred from the passagebut they also do not contradict the statement thatpatronage of widows and nuns left a deep impact.Option (a) is incorrect. Hence correct answer is (d).

53. b Refer to the following lines in paragraph 2,” LikeArtemisia, 15th- and 16th-century widows were alsousually concerned first, foremost, and often solely,with commissioning an appropriate funerary monumentfor their husbands”. This makes option (b) the bestoption. Options (a), (c) and (d) can be negated fromthe same paragraph. Option (a) is too narrow and istrue only of one widow in the passage.

54. b Refer to the lines, “The role of the patron was crucialto art-making in the Renaissance. Indeed, one couldargue that it was the patron who was the initiator ofalmost all significant artistic projects, and that it wasthe patron who determined an individual artwork’smost important features and characteristics, includingwhat material it was made from, where it wasdisplayed.” Option (a) can be negated from thefollowing lines, “although knowing about a work’spatron can never explain everything about an art object,understanding a patron’s circumstances can provideus with important insights.”

For questions 55 to 57:

6 5

4

3

21

8

7

From statement (i), we can deduce that the Indian and theChinese members are seated alternately. Also, from statements(iv), (v) and (vii), M and S are Indian and N and R are Chinese.

Let us first fix the positions of P and L. Suppose P is to the rightof L. Two cases arise – L is either a Chinese or an Indian.Case I: L is a Chinese and seated at position 1, therefore,positions 1, 3, 5 and 7 are occupied by Chinese and the rest byIndians.Then Q, the Indian CFO, must be seated at position 4.M and S, both Indians, sit at diagonally opposite positions asper statement (vii), which is not possible.Case II: L is an Indian and seated at position 1, therefore,positions 1, 3, 5 and 7 are occupied by Indians and the rest byChinese.Then Q, the Chinese CFO, must be seated at position 4.From statements (iv) and (v), N, a CMD, must be sitting atposition 8. Therefore, M, R and S sit at positions 3, 6 and 7respectively.Further analysis gives the following arrangement.

Q

P

N

R

M

L

S

CO O

T

CM D

CFO

CO O

CEOCFO

CM D

CEO


Similarly, we will arrive at the following arrangement if P is tothe left of L.

N

L

T

R

S

P

M

CO O

Q

CFO

CM D

CEO

CFOCM D

CEO

CO O

Here Ind ian , and Ch inese

55. d The Chinese CEO is either P or T.

56. b M and N cannot be neighbours.

57. c Q, who is a CFO, is the third person to left of T.

58. d From statement (ii), the only ball between B1 and B3 isB4. Hence, the arrangement is B1/B3 – B4 – B3/B1.From statements (i) and (iii), B2 and B5 are equidistantfrom B4, and B5 is to the right of B2.Hence, the arrangement should look likeB2 – B1/B3 – B4 – B3/B1 – B5.Hence, B6 must be at one of the ends of the row andthe other end of the row will be occupied by either B2or B5.

59. d A government administration will issue officialstatements or orders. Hence ‘decreed’ fits best as itmeans official order. The second part of the sentenceuses believed so ‘presumably‘ fits best as it means tobe true. Hence the best answer is D.

60. c Sentence 1 is incorrect because it has a danglingmodifier. The correction should be “Hidden in abasement, Sukiyabashi was brought forth into theworldwide cultural milieu thanks to its appearance onAnthony Bourdain’s TV show.” The link is betweenthe modifier “hidden in a basement” and “Sukiyabashi”.Sentence 2 is also incorrect because the phrase“recent release” indicates the present perfect – anactivity that has just got over in the present. And sosentence should have a verb in the present perfecttense (has added) and not in the simple past tense(added). Sentence 3 is correct. Sentence 4 is incorrectbecause it uses the relative pronoun “that” in aredundancy.

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