FMS 2009 Solutions

FMS 2009

Answers and Explanations 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

FMS2009

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

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

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

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

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

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80

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

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

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

101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

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

121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140

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

141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160

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

161 162 163 164 165 166 167 168 169 170 171 172 173 174 175

1 1 1 3 1 4 3 4 1 3 1 4 3 4 3

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1. 2

2. 1

Since the amount which has to paid per caesarean birth is Rs. 6000 per birth and a penalty is imposed if the birth is more than 10%. The hospital does 30% of caesarean surgeries. ∴ The hospital will be paid 33% of the allotted amount which is Rs. 2000 /birth.

7.

IA × t A 3 20 × t A 3 tA 9 = = = IS × t s 2 ⇒ 30 × tS 2 ⇒ tS 4

Let x be the number of months for which Amber’s brother invested into the business.

According to rule (ii), even in the case of more than 10% caesarean births, amount paid is same as that of upto 10% caesarean births. Thus, the amount to be paid is

∴

Amount that the Engineer receives = Rs. 1,32,400 Usual amount that he should have received = Rs. 1,45,000 ∴ He received Rs. 12,600 lesser than expected. If he does not work for 1 hr, then the total penalty will

4. 4

8. 3

5. 1

The time taken to stop the cover shot = 0.5 sec Mass of the ball = 0.156 kg Velocity of the ball = 10 metres/sec Average force =

0.156 × 10 0.5 = 3.12 N Hence option (1) is the correct choice. 6. 1

Page 2

Hence option (3) is the correct choice. 9. 1

Symmetry or standard deviation is not effected by change of origin but is effected by change of scale. Hence, when the income of every village changes by a certain proportion symmetry will change but there will be no change in symmetry when income of every villager increases by Rs. 3650. Hence correct answer is (1).

For ICICI

i 1+ i Where ‘D’ is the discount rate and ‘i’ is the interest rate D=

0.19 =

i 1+ i

⇒ i = 0.235 = 23.5% Therefore the required increase = 23.5 – 20 = 3.5% Hence option (1) is the correct choice. 10. 3

Value after 3 years will be = 20000 ×

mv t

=

2  1  Education index for China =  × 86.7  +  × 100  3  3  = 91.13 Human Development Index for India

 2  1  57.2 + 19.0 +  × 48.7  × 59.1  3 3    = 42.79  = 3

12600 = 112 112.5

Let the selling price of A and B ‘a’ and ‘b’ respectively. Given that 0.2a = 0.3b 2a = 3b … (i) Also, 0.15a – 0.15b = Rs. 6 million a – b = Rs. 600 million … (ii) Solving equation (i) and (ii), we get b = Rs. 80 million. Hence, the correct answer is option (4).

16 32 = months Amber’s brother 3 3

joined the business. Hence, none of the options given in the question are correct.

500   = 112.5 be Rs.  50 + 8   Therefore total number of hours for which he was

absent =

12 9 16 = ⇒x= x 4 3

Therefore, after 12 −

 10   100 × 800  × 600 or Rs. 4,80,000.  

3. 2

Since investment is proportional to the profit with respect to the time it is invested for, we can write here

11. 1

19 24 49 × × or Rs. 17875.2 20 25 50

Total surface area of cone = πrl + πr2 = πr (l + r) Here ‘l’ is the slant height of the cone Therefore,   πr (l + r ) = 3.141× 30  302 + 402 + 30    = 3.141 × 30 × 90 = 7543 cm2 Hence option (1) is the correct choice.

FMS 2009

12. 1

Area of square = (20×20) cm = 400 sq. cm. 17. 2

Required probability of 1st being defective =

10

Probability of 2nd being defective = Combined probability =

4 200

3 199

4 3 6 × = 200 199 19900

2 0cm

πr 2 Area of four quadrant = 4 × 4 = πr2 = 3.141 × (10)2 = 314.1 Area enclosed between the circumference of the circle = 400 – 314.1 = 86 sq. cm 13. 3

14. 1

If → March 1 2002 is a Monday March 1 2003 will be Tuesday March 1 2004 will be Thursday March 1 2005 will be Friday March 1 2006 will be Saturday So when March 1 2006 is a Saturday, March 1 2002 will be Monday. So when March 1 2006 is a Wednesday, March 1 2002 will be a Friday. Option (3) is the correct choice. Let ‘a’ be the edge of cube, ‘ρ’ be the density of cube and ‘σ’ be the density of water, then as per the condition given, we can write 3

3

a ρg + 0.2g = a σg

18. 3

Required value

19. 2

Hence, average growth = 20. 1

Required percentage change is approximately equal to the percentage change in FDI inflows from 2001 to 2003.

22. 3

Required ratio

=

23.

a2 = 100

24. 1

a = 10 cm

)

For the equation to be 0,

x + 5 + x must be equal to

)

x + 5 + x = 1.

Putting x = 4, satisfies the equation. 16. 2

As per the property of matrices, the given matrix is a non-singular matrix.

21 = 0.03 730

None of the options satisfies the equation. Correct answer should be

Cost at which Parul purchased the shares is Rs. 160 + Rs. 40 = Rs. 200

Rs. 50000 = Rs. 2500. 200 But, she will get an interest only on the face value of the share, i.e. Rs. 160. ∴ Total amount on which she will receive an interest is Rs. 40,000.

19 × 40000 = Rs. 7600 100 But since, Parul invested Rs. 50,000. ∴

So, %age gain will be

FMS2009

=

Total shares =

x+5 + x =0

(

5+4+5+7

(150 + 160 + 200 + 225 )

π π  4 and 6  .  

2a = 200

5. i.e. log5

175 − 150 or 14.28% 175

21. 3

2

(

42% or 14%. 3

FDI of developing economies in 2001 = $ 175 m FDI of developing economies in 2003 = $ 150 m % decline =

a3 − 200 = a3 − 2a2

log7 log5

(1.1)2

For India FDI in year 2002 = $5 million FDI in year 2005 = $ 7.1 million Growth = 42%

a3ρg = a2 (a − 2) σg

15. 3

50,000

= Rs. 41322.31 Option (3) is the correct choice.

… (i)

a3 σg − 200g = a2 (a − 2) σg

=

7600 × 100 or 15.2% 50000

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25. 4

Size of work force during the fourth year

32.

90 75 100 × × = 23513 100 100 100 Option (4) is the correct choice. = 25000 ×

26. 1

or x2 + y2 +

2

27. 1

–3.153 can be written as –4 + .847, –4 is characteristic and .847 is the mantissa.

28.

All options are wrong. But the closest one that satisfies it is (3) 2 3 + 3 7 . Given that b2 = ac ax = by = cz

4 2 x+ y+2=0 3 3 2

2  1 Radius =   +   − 2 3 3

Put X = 500

1000 + 5 × 500 = 3500 when 0 ≤ 4 ≤ 500 P= 2000 + 4 × 300 = 4000 when 500 ≤ 4 ≤ 2000 Hence, P is discontinuous at Y = 500

29. 1

The equation of circle is given as 3x2 + 3y2 + 4x + 2y + 6 = 0

5 −2 9 which is negative. Hence the circle is not defined. Hence the correct choice should be ‘cannot be determined’. Therefore no option is correct. =

33. 2

y 2 =4 ax

x=– a (0 , 0 )

…(1) …(2)

or a = b y / x and c = b y / z Putting there value of a and c in equation (1), we get b2 = b y / x b y / z = by / x + y / z Which is possible only when

2= ⇒

Option (2) is the correct choice. 34. 3

y y + x z

Apply L’Hospital’s rule e x − e− x x x →0 lt

1 1 2 + = x z y

Differentiating numerator and denominator separately

Hence option (1) is the correct choice.

e x − ( −e − x ) 1 Putting x = 0, gives 1 + 1 or 2. or

30. 4

Put y+

x = y and solve. 1− x

35.

1 13 = y 6

Given that (Revenue function) R = 100q – q2

…(1)

57 2 q …(2) 2 Since, C cannot be negative therefore, q has to be

3 (Cost function) C = q −

31. 3

3cos2 θ − sin2 θ = 1 2cos2 θ + cos2 θ + sin2 − 2 sin2 θ = 1 2(cos2 θ − sin2 θ) = 0

cos2θ = 0 2θ = nπ ± 90°

∴θ = 225° satisfies.

Page 4

(as sin2 θ + cos2 θ = 1)

57 = 28.5 2

greater than Profit = R – C

(

)

57 2   q  = 100q − q2 −  q3 − 2  

55 2 q + 100q 2 For maximum profit P = −q3 +

…(3)

FMS 2009

= Rs. 414

dp = −3q2 + 55q + 100 dq

Required percentage change =

⇒ − 3q2 + 55q + 100 = 0

Option (1) is the correct choice.

⇒ 3q2 − 55q − 100 = 0

q=

55 ±

(55 )2 + 1200 6

42. 2

=

55 ± 4225 −5 = 20, 6 3

x2 6 For marginal property to import, we have

Revenue = Price × Consumption Now excise duty decreases from 100% to 70% consumption will increase from 70 to 100 to keep the revenue uncharged which is change of

3 6 × 100 = 42 % 7 7 Hence option (2) is the correct choice.

As, q has to be greater than 28.5, hence no option is correct.

36. 3

446 − 414 = 8% 414

Given that I = 3000 +

43. 1

dI x = dx 3 Which is the required answer. Hence option (3) is the correct choice.

3% change in rate of profit is equivalent to $60 million. Therefore, profit = $2000 million. Note : Ratio of stare of profits of John, Mora and Gordon 4 : 1 : 1 respectively.

44. 3

Given Σx 2 = 40000

6x = 10

6x 2 = 100 n = 40

37. 2

We know,

Ratio of volumes of the two cones will be 1 × 7K × (6K ')2 3 = 1 × 3K × (7K ')2 3

= 38. 2

39. 1

40. 4

In every 20 minutes, 200 images are printed keeping in view that the last stage is of a ‘pause’ Now for first 40 minutes, 400 images will be transmitted to earth and in the last 20 minutes, 100 images will be transmitted since the last stage ends up in a pause for cooling and recharging. Hence, 500 images will be transmitted to earth. Option (2) is the correct choice.

10 = 2% more 500 Option (4) is the correct choice. In case of Kodak facility, payment is = (200) (1.75) + (160) (0.60) = Rs. 446 In case of Cannon facility, payment is = (200) (1.65) + (120) (0.70)

FMS2009

40000 ( x )2 40

or, ( x )2 = 900

x = 30 Hence correct answer option is (3). 45. 1

Given that 5 members are from the Executive Council and 7 members are from Academic Council. To form a committee of 6 members such that at least 4 members of the committee belong to the Academic Council

(

) (

) (

)

= 7 C4 × 5C2 + 7 C5 × 5C1 + 7 C6 × 5C0 = 462

Agfa is the cheapest which is = (1.70) (200) + (0.55) (200 + (100) (0.50) = Rs. 500. Amount to be paid when using cannon = Rs. 510 and when using Agfa = Rs. 500 Therefore, payment (extra) per hour

Σx2 2 − (x ) n

or, 100 =

7 × 36 or 12 : 7 3 × 49

=

41. 1

6x2 =

Hence option (1) is the correct choice. 46. 2

Let the distance be x from Delhi to Mumbai Time taken by Jet =

x 700

Time taken by Kingfisher = Stoppage time =

x 560

x x 10x − 8x x − = = 560 700 5600 2800

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x 560 1 = 2800 = = = 12min Average stoppage time . x 2800 5 560

For questions 53 and 54: B

3

D

2

47. 4

1 2 gt 2 Where g = 9.8 m/sec2 (acceleration due to gravity) Since t = 4 seconds, putting this value in equation (1), we get D=

1 2 × 9.8 × ( 4 ) = 78.4 m 2 Hence option (4) is the correct choice. D=

48. 1

4

The distance travelled by the stone is given as

Weighted harmonic mean for two variable is given as

χm =

n m1 m2 + x1 x 2

Putting the values we get for the uneven performance χm =

2 50 80 + 70 30

    2 −  Final score = (0.70 × 0.50) + (0.80 × 0.30)  50 80  +   70 30  

A 5

P(G / E1, E2 ) = 0.70 × 0.60 = 0.42

53. 4

Distance between A and B is 8 km

54. 1

Length of route 2 is 11 km.

55. 4

Option (4) is best supported by the passage.

56. 1

The paragraph discusses the industrial recession taking place everywhere but not in China because of their state controlled banking systems. Hence, option (1) best supports the paragraph. Options (2) and (3) are mere repetitions of what has been given in the paragraph. Option (4) is the contradiction of what has been stated in the paragraph.

57. 1

1, 11, 21, 1211, 111221 Count the number of digit in consequent digits. ∴ in 111221 should be 312211.

Hence option (1) is the correct choice. For questions 50 to 52: From the information given in the question we can only infer that each of A, D, E and F is a male and C is a female. Had it been mentioned that F is the only child of C and is a son, then we could have determined the gender of B as she would have been the wife of F. But in the question it is only given that F is the only son of C and E, so there could be a possibility that C and E have a girl whose husband is B. 50.

Since, the gender of G is not known, then can be either 2 or 3 females.

51. 4

Gender of G is not known, so relationship with A cannot be established.

52.

Cannot be determined as explained above.

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F 5

Route 1: A-B-D-F Route 2: A-C-D-F Route 3: A-C-F Length of the routes 1: AB + BD + DF = AB + 3 + 2 2: AC + CD + DF = 5 + 4 + 2 + 11 km 3: AC + CF = 10 km The length of Route 1 should be (10 + 3) or 13 km. So. AB = 8 km

= 56.34% Hence option (1) is the correct choice. 49. 1

C

For questions 58 to 60: Step 1: Do the sum of digits Step 2: Add the input with number in step 1 Step 3: Step 3 + Input Step 4: Sum of digits at step 3 minus 1. Step 5: Step 1 + Step 4. 58. 1

If at step 2 the any input is 02. The step 1 and input will be 01 and 01 Hence Input = 01 Step 1 = 01 Step 2 = 02 Step 3 = 03 Step 4 = 02 Step 5 = 03

FMS 2009

59. 3

For input = 17, step 1 = 8, step 2 = 81, step 3 = 98, step 4 = 16 and step 5 = 24.

60. 4

Using options, we get the required input as 3.

For questions 61 and 62: 61. 3

63. 2

67. 1

Total distance covered by Miss Sharma = 3 × 500m = 1500 m Total distance covered by Miss Toppo = 4 × 500m = 2000 m Hence the required answer is (1500 + 2000) m = 3500m.

68. 4

Since Miss Yadav and Miss Sharma have covered 3 rounds each walking in the opposite direction the will cross each other twice for every round covered, but on the finish of the last round they will meet but will not cross each other. Hence they will cross each other five times on the track.

69. 2

Since Miss Toppo and Miss Yadav Have covered 4 and 3 rounds respectively and walking in the same direction, Miss Toppo will overtake Miss Yadav once.

70. 3

B C D E + A D E I D H G

Under the following case both option (1) and (2) are true.

Red Car Ajit (M) Sarat (M) Sapna (F) 62. 1

Miss Sharma and Miss Hussaini are walking in the opposite direction and they crossed each other three times, Miss Sharma would have covered two more rounds than Miss Hussaini, i.e. 3 rounds.

Blue Car Mala (F) Manjit (F) Suman (M)

Given that Suman and Manjit are the two passengers in the red car, which means that either Mala or Ajit is the driver of the red car. So, we can say that the two passengers of the blue car will be Sapna and Sarat as either Mala or Ajit will be the driver of the blue car. The given paragraph has made specific mention regarding the large and wide difference in economic prosperity. Hence, this option best supports the psychologist’s argument. Option (1) is discussed nowhere in the paragraph. Option (3) looks close however it does not support the psychologist’s view. Option (4) is a mere repetition of what has been stated in the paragraph.

64. 3

Options (1), (2) and (4) are mentioned in some way or the other in the paragraph. Only statement (3) has no reference in the paragraph.

65. 3

The author is in strong favour of legislators learning to speak english rather than spending money in printing documents in various other languages for people who cannot speak english. Options (1), (2) and (4) are contradicting the author’s point of view. Only option (3) makes the author’s argument stronger.

66. 4

Option (4) is in direct contradiction to the author’s opinion given in the passage. Options (1) and (2) are far-fetched in terms of the information given in the passage. Option (3) supports the speaker’s argument.

For questions 67 to 69: Given, Length of track = 500 m. Miss Yadav, Miss Toppo and Miss Hussaini run in the clockwise direction whereas Miss Sharma runs in the anti-clockwise direction. Miss Hussaini walked only one round in total. Since Miss Yadav overtakes Miss Hussaini twice and they both are walking in the same direction around the circular track, Miss Yadav would have walked 2 more rounds than Miss Hussaini, i.e., 3 rounds. For the similar reason Miss Toppo would have covered 4 rounds.

FMS2009

From the information given above we get 10 + G = 2E C +A has to be greater than 9 because then only I will be equal to B + 1. Hence, we see that only option 3 cannot be true. 71. 2

In the given paragraph, the speaker is arguing regarding computer education being a complete waste of money. Option (1) is further elaborating on this particular point. Hence, it is the correct answer. Options (1), (3) and (4) contain far-fetched information which are not stated in the paragraph.

72.1

The speaker believes that learning the basic subjects such as numbers, arithmetic, reading and writing are more important than learning computers. But option (1) is stating that computers would boost the learning of these subjects. Hence, it weakens the speaker’s argument.

73. 4

Number of bricks available: Red = 4; Blue = 3. Number of bricks required to raise the height of the 1st building by 10 cm is 1 red and 2 blue bricks and for that of 2nd building we need 2 red and 1 blue brick. Now option (1) and option (3) is not possible as we do not have required number of bricks. Option (2) is possible but by doing so we get 2 points. But if we increase the height of each building by 10 cm we get three points. Hence the correct answer in option (4).

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For questions 74 to 76: 74. 4 The maximum quantity that S can receive is 9(Q) + 2(P) + 6(R) = 17 units.

options (3) and (4), option (4) is the most appropriate answer as it is mentioned clearly in the passage. For questions 84 and 85:

75. 1

Two cities which definitely have natural gas plants are M and P because M does not receive gas from anywhere but transfers supplies it to N, P and O. Similarly P only receives 2 units of Gas but supplies 9 units to other cities.

76. 4

R can receive a maximum of 6 units from M Because P and O combined can only transfer 6 units in total.

77. 2

Since at Q, the traffic light turns red for 45 second and next green light at R occurs an interval of 1 minute and 30 second, there is a time lay of 1 minute and 7 minute. Hence option (2) is the correct choice.

78. 4

A motorist coming from P at Q find green at 9 past 30 minutes but for the next few minutes, the timing of Amber light gets overlapped with the timing of red. Hence more information is needed to this overlapping. Option (4) is the correct choice.

For questions 79 to 81: Given that there are three family drama shows two of which are Main Sati Hoon and Detective Doom. Also given that Midnight Murders and HIV and India are not family drama hence, the third family Drama is A laugh a while. Also given Midnight Murders and Main Sati Hoon started at 11.30 p.m. and 10.00 p.m. respectively. And then using other information we get the final table as: Name Detective Doom Main Sati Hoon Laugh a While HIV and India Midnight Murders

Time Slot 09.30 – 10.00 10.00 – 10.30 10.30 – 11.00 11.00 – 11.30 11.30 – 12.00

Genre Family Drama Family Drama Family Drama News based News based

Content Social Social Adult Social Adult

Monday Tuesday Wednesday Thursday

85. 4

Current arrangement is the best.

For questions 86 and 87:

P Q R S T

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P 0

Q 2 0

R 3 2 0

S 5 1 2 0

T 6 4 3 2 0

86. 3

Vipin is standing at S and wants to finish his tour at T without revisiting any place. Since the shortest distance of any place from S is Q and from T is S but as he is starting from S 2nd shortest distance of any city from City T is of City R. So he will take the route S – Q – P – R – T covering a total of (1 + 2 + 3 + 3)= 9 km.

87. 2

Since Vipin Wants start and also end his tour at Q The route which he will take such that he has to cover the shortest distance will be Q – P – R – T – S – Q covering a total of ( 2 + 3 + 3 + 2 + 1) km = 11km

For questions 88 to 90: 88. 4

81. 1

83. 4

4 4 3

The minimum number of constables that will start their duty on Monday will be 2 because there is a demand for two constables for the next 4 days.

80. 3

The passage concludes by stating that the average vehicular speed on the expressway is 100 kmph and Ritu is able to reach office in 45 minutes although initially there were a lot of problems because of long queues at the toll collection booths. Hence, currently it would be advisable for Ritu to stop using her car which costs her four times the normal travel expense and start using public transport.

Friday Saturday Sunday

84. 3

79. 4

82. 2

2 2 2 2

89. 1

The cost of Disaster Management is 57 lakhs. Now, the University is left with 48 lakhs. So, it can fund a maximum of 48 lakhs. Funds required for: (1) O + Q = 25 L + 27 L = 52 L – Not possible (2) O + S = 25 L + 65 L = 90 L – Not possible (3) M + R = 35 L + 22 L = 57 L – Not possible (4) O + R = 25 L + 22 L = 47 L – Possible

Dept Q+R O+R M+R O+Q

Scores 3+5=8 2+5=7 1+5=6 2+3=5

Funds (lakhs) 27 + 22 = 49 L 22 + 25 = 57 L 35 + 22 = 57 L 25 + 27 = 52 L

Option 3 talks about negative public sentiment drawn by the stars when they do not perform well in a series, however option (3) talks of performance in a match which becomes ambiguous. Hence, between

FMS 2009

90. 2

Projects P, Q, R O, Q, R O, P, R Q, R, S

Scores 12 10 11 11

Funds 106 L 77 L 104 L 114 L

99. 3

Not Possible Possible Possible Not Possible

Hence, O, P and R should be selected. 91. 4

For Ajay to receive a call from office, the condition of Vijay not submitting the application is sufficient. Ajay may receive a call from office (may be for some work) even if Vijay submits the application. Therefore, option (4) is the best choice.

Option (3) is not supported by the passage. Hence, it becomes the answer.

100. 1 The factors mentioned in option (1) are the risks faced while developing intellectual property for a commercial organisation. 101. 2 The author says that the IPR is used as a tool to create monopolies. As a result of which organisations become complacent and competition takes a back seat. 102. 2 Option (2) is mentioned by the author as the most difficult challenge faced by the authorities.

In the given paragraph, the author is discussing the criteria that a scientist has to fulfill in order to write on any particular topic. Hence, option (2) is definitely true. Options (1) and (2) cannot be proved from the information given in the paragraph.

103. 2 The author mentions these variables towards the end of the passage.

For questions 93 and 94: The various places where surveillance cameras needs to be installed so that every street is put under vigilance is at point 3, 6 and 7 or at point 2, 5, 1and 4. The cost involved in both the cases is 16 lakhs and 12 lakhs respectively. Since the traffic department wants to monitor all the roads at minimum cost it will go with the option of installing cameras at point 1, 2, 5 and 4.

105. 1 This option cannot be inferred directly from the passage, however, a combination of pre-acquired information and the facts mentioned in the passage lead us to option (1).

92. 2

93. 3 94. 3

104. 4 The concept of regulation enabled by IPR is akin to licence raj.

106. 1 This option is supported by the author when he gives instances of war expenditure increase from the sixteenth century war to Napoleanic wars. 107. 3 This option cannot be inferred directly from the passage, however, a combination of pre-acquired information and the facts mentioned in the passage lead us to option (3). 108. 2 Option (2) clearly defines the reason for a Financial revolution.

95. 4

Points Matches left

Karnataka 19 4

Punjab 29 4

Jharkhand 32 6

Gujarat 18 4

Hence either Gujarat or Karnataka can be eliminated from the league. For questions 96 to 98: A B C

2 Hours 1 Hour 1 Hour

E

1 Hour

110. 4 Option (4) is mentioned by the author in the second paragraph. 111. 1

D 3 Hours

96. 3

The earliest time when Ajay will complete C will be 9 a.m. + 4 Hours = 1 p.m.

97. 3

If B takes 2 hours to complete, E can start at 9.00 a.m. + 5 Hours = 2 p.m.

98. 2

The earliest time Ajay can complete all the tasks is 9.00 a.m. + 6 Hours = 3 p.m.

FMS2009

109. 3 This option cannot be inferred directly from the passage, however, a combination of pre-acquired information and the facts mentioned in the passage lead us to option (3).

In the last paragraph the author supports this option.

112. 3 The author supports this statement throughout the passage. 113. 1 The author mentions that fear occurs when the relationship between people or between people and nature, people and property and between people and ideas is not fully understood. This makes option (1) the correct choice.

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114. 1 It can be inferred from the passage that people experience fear because their conditioning towards certain objects is that of fear. 115. 2 Refer to the 4th paragraph of the passage where it is stated that ‘ Because I am afraid of the word, of the idea, I never understand the fact, I never look at the fact, I am never in direct relation with the fact. It is only when I am in complete communion with the fact that there is no fear’. 116. 4 The author states that not understanding the relationship fully creates fear. Hence, communion is very necessary for removing fear. Thereafter, experiencing the facts as they are without any prior judgements would also help in removing fear from the mind. Hence, the correct answer is option (4). 117. 3 refer to the fifth paragraph of the passage where the author states that ‘The moment one is completely open to the fact of loneliness one can understand what it is, but one has an idea, an opinion about it, based on previous knowledge; it is this idea, opinion, this previous knowledge about the fact, that creates fear’. 118. 1 It is explicitly stated in the passage that ‘It is only when I am in complete communion with the fact that there is no fear’. Hence, option (1) is the correct answer. 119. 4 Options (1), (2) and (3) are the contradictions of the point of view stated by the author in the passage. Hence, option (4) would be the answer. 120. 4 The author in the passage talks of, ‘Gene mutation is caused by a chance....complementary chain’. This supports option (4). 121. 1 The answer is stated in the third, sixth and seventh paragraph of the passage. 122. 3 The author says that the speed of the drug resistance among bacteria shows that they are ahead of human innovations. This supports option (3). 123. 4 All the options are supported by the passage making option (4) as correct answer. 124. 1 Option (1) can be derived from the passage. Rest of the options are out of scope of the argument. 125. 4 The author mentions options (1) and (2) in the fourth paragraph of the passage. 126. 2 Option (2) is mentioned by the author towards the end of the passage. 127. 3 The idea of women enfranchisement and a better world is mentioned throughout the passage. Therefore, option (3) becomes the appropriate title.

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128. 1 Option (1) is supported by the author when he talks about male values. 129. 2 In the third paragraph of the passage, the author says “So long as man feeds woman....to his condition’. This supports option (2). 130. 4 The values mentioned in options (1) and (2) form the values of womanhood mentioned in the passage. 131. 3 The author of the speech is an activist as she is fighting for women enfranchisement. To take ‘a feminist’ as the correct option would be too extreme as the tone of the author is that of an activist. 132. 2 Throughout the passage, the author gives various examples to prove men’s destruction and the balancing act done by women. 133. 3 Again this statement is mentioned directly and indirectly throughout the passage. 134. 1 ‘Juno’ is the Italian goddess of womanhood and childbirth. ‘Jocasta’ was the daughter of Menocenes and Queen consort of Thebes, Greece. 135. 4 ‘Pemmican’ is a concentrated food consisting of dried pulverized meat, dried berries, and rendered fat. 136. 4 ‘Parascending’ is the right option. 137. 4 ‘Matador’ and ‘quoits’ have no relationship between them. Matador means a bull-fighter. Quoits is a ring game. 138. 3 The words have a synonymous relationship. So the right word to use here is ‘comedian’. 139. 1 The relationship between the words is that of degree of intensity. ‘Venom’ is a higher degree of ‘Toxin’. Similarly, ‘Venial’ is a higher degree for ‘venal’. Both refer to crime. 140. 1 The correct option here is (1). Options (2), (3) and (4) are synonyms. 141. 1 The correct option is (1). Options (2), (3) and (4) refer to casual behaviour and are synonyms. 142. 2 Option (2) is correct as ‘Atheism’ refers to denying the existence of God. ‘Agnosticism’ is doubting the existence of God. ‘Secularism’ is not adhering to religion or God. 143. 1 (1) is the correct option. 144. 2 (2) is the correct option.

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145.

Errata There is a discrepancy in each of the options given as some word or the other does not have a noun, adjective and verb form.

146. 4 ‘To lead with one’s chin’ is the correct idiom to be used here. 147. 1 ‘To hide one’s light under a bushel’ is the correct idiom to be used here. 148. 2 (2) is the correct answer. 149. 1 The proverb “Brave men lived before Agamemmnon” means that Agamemmnon, although he won the Trojan war, was not the first brave man in history. Brave men existed even before Agamemmnon, however, they went unnoticed due to the lack of any written records. 150. 2 ‘Empyrean’ means heavenly. So it fits in the first blank. The word ‘encomium’ and not ‘enconium’ as given in the FMS paper means a speech of praise which fits in the second blank. ‘Emendation’ means amendment for improvement; it fits in the third blank. ‘Embrocation’ means an ointment which fits perfectly in the last blank. 151. 1 ‘Bonhomie’ fits in the first blank as it means good heartedness. ‘Bonmot’ and ‘Badinage’ fit in the second and third blanks as both mean banter or playful joke. The last blank appropriately takes ‘bon viveurs’ as it refers to the diners having a good taste of food and wine. 152. 1 ‘Factitious’ means artificial and fits in the first blank. ‘Factious’ means having faction within a particular party and so it fits in the second blank. ‘Facets’ means aspects and appropriately fits in the third blank. ‘Factions’ fits in the last blank. 153. 3 ‘Beatific’ means angelic and it fits in the first blank. ‘Beatified’ fits in the second blank as it is the verb form which means granting sainthood to someone. ‘Beatitude’ means sainthood and fits in the last blank. 154. 4 Option (4) is correct.

160. 3 Both ‘equilibrate’ and ‘deliberate’ refer to weighing and balance making option (3) correct. 161. 1 (1) is the correct answer. 162. 1 (1) is the correct answer. 163. 1 ‘Blue stocking’ means literary ladies who indulge in books and Surekha is keen on reading books which makes her the correct answer choice. 164. 3 ‘Whited Sepulchre’ means an evil person who pretends to be holy or good, according to the question ‘Reena’ meets this definition. 165. 1 ‘Brown study’ means to be in a state of deep thought. Suresh fits the bill. 166. 4 ‘Pulling the chestnuts out of fire’ refers to rescue someone from difficulty. As per the given information, ‘Stuti’ should be the right answer but since it is not given in the answer choice, we have to mark ‘None of these’. 167. 3 If someone turns the air blue, he or she is venting his/ her rage and the manager does this. 168. 4 ‘Champagne Socialist’ refers to a hypocrite person who exhibits liberal political views. Ram truly does this. Since he is not mentioned in the answer option, we will take option (4) as the correct option. 169. 1 In statement (f), the lawyer states that the opposing party’s arguments will easily get demolished. Hence, ‘Opposing party’ would fall like ‘the wall of Jericho’. 170. 3 ‘Emerald’ is the birthstone of people born in May. ‘Sapphire’ is the birthstone of people born in September. 171. 1 All the given words relate with different form of bakery items. Therefore, ‘brioche’ which means a sweet light roll would be the best choice. 172. 4 The relationship is that of objects belonging to the same class. Therefore, ‘creepie’ which means a small stool would be the best choice.

155. 4 Option (4) is correct.

173. 3 ‘Puissance’ means power. Hence, the antonym would be ‘impotence’.

156. 3 ‘Pride in’, ‘cares for’, ‘key to’, ‘solution to’, ‘bonus for’ are the right phrases to be used.

174. 4 ‘Recondite’ means abstruse or difficult. Hence, ‘obvious’ would be the correct opposite.

157. 2 (2) is the correct option.

175. 3 ‘Restitution’ means restoring to power and hence the opposite would be ‘deprivation’.

158. 3 (3) is the correct answer. 159. 1 ‘Animalcule’ refers to a minute organism and ‘animate’ means living, making option (1) correct.

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