CAT Past Year Question Paper Solution - 2003 | Additional Study Material for CAT PDF Download

 Page 1


1 3 16 4 31 3 46 4 61 3 76 3 91 1 106 1 121 3 136 3
2 3 17 2 32 3 47 2 62 1 77 2 92 4 107 3 122 1 137 4
3 4 18 1 33 3 48 4 63 3 78 1 93 3 108 2 123 4 138 3
4 2 19 3 34 2 49 2 64 2 79 3 94 1 109 1 124 2 139 1
5 1 20 4 35 2 50 3 65 2 80 1 95 4 110 4 125 3 140 2
6 1 21 3 36 2 51 2 66 2 81 2 96 1 111 2 126 3 141 3
7 1 22 4 37 1 52 1 67 3 82 1 97 4 112 1 127 1 142 2
8 4 23 2 38 3 53 3 68 1 83 3 98 3 113 4 128 4 143 2
9 2 24 4 39 1 54 1 69 1 84 4 99 4 114 1 129 4 144 3
10 1 25 1 40 1 55 3 70 2 85 4 100 4 115 3 130 3 145 2
11 3 26 2 41 4 56 2 71 1 86 4 101 1 116 2 131 1 146 4
12 1 27 1 42 2 57 1 72 3 87 2 102 2 117 3 132 1 147 3
13 2 28 4 43 1 58 2 73 4 88 4 103 4 118 4 133 2 148 4
14 3 29 4 44 3 59 3 74 3 89 2 104 2 119 4 134 3 149 1
15 2 30 1 45 1 60 2 75 4 90 4 105 1 120 4 135 4 150 2
EU + RC  1 to 50 50
QA + DS 51 to 100 50
DI + DS + AR 101 to 150 50
T otal 150
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	


	
Page 2


1 3 16 4 31 3 46 4 61 3 76 3 91 1 106 1 121 3 136 3
2 3 17 2 32 3 47 2 62 1 77 2 92 4 107 3 122 1 137 4
3 4 18 1 33 3 48 4 63 3 78 1 93 3 108 2 123 4 138 3
4 2 19 3 34 2 49 2 64 2 79 3 94 1 109 1 124 2 139 1
5 1 20 4 35 2 50 3 65 2 80 1 95 4 110 4 125 3 140 2
6 1 21 3 36 2 51 2 66 2 81 2 96 1 111 2 126 3 141 3
7 1 22 4 37 1 52 1 67 3 82 1 97 4 112 1 127 1 142 2
8 4 23 2 38 3 53 3 68 1 83 3 98 3 113 4 128 4 143 2
9 2 24 4 39 1 54 1 69 1 84 4 99 4 114 1 129 4 144 3
10 1 25 1 40 1 55 3 70 2 85 4 100 4 115 3 130 3 145 2
11 3 26 2 41 4 56 2 71 1 86 4 101 1 116 2 131 1 146 4
12 1 27 1 42 2 57 1 72 3 87 2 102 2 117 3 132 1 147 3
13 2 28 4 43 1 58 2 73 4 88 4 103 4 118 4 133 2 148 4
14 3 29 4 44 3 59 3 74 3 89 2 104 2 119 4 134 3 149 1
15 2 30 1 45 1 60 2 75 4 90 4 105 1 120 4 135 4 150 2
EU + RC  1 to 50 50
QA + DS 51 to 100 50
DI + DS + AR 101 to 150 50
T otal 150
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	


	
1. 3 See third paragraph last two lines. It is clearly
mentioned that ‘new free-flight concept . . . and other
planes’.
2. 3 Paragraph 5, fourth line says that there is ‘also a need
for . . ., design talents . . .’
3. 4 First paragraph fifth line says ‘. . ., happened in less
than a decade’.
4. 2 Paragraph 4 clearly talks about the increase in size of
the aircraft.
5. 1 Paragraph 2, fourth line talks about the differences
and explicitly mentions ‘takes off vertically.’
6. 1 Refer to paragraph 5, line 1 ‘became . . . more divorced
from religion.’
7. 1 Refer to paragraph 1, line 10 ‘. . . a means for
advancement not only in income but also in status.’
8. 4 Refer to paragraph 3: ‘Let us look at the clerical side
first’ and paragraph 4, line 5 ‘even though they entered
the clergy, had secular goals.’
9. 2 Refer to para 1, line 7 ‘Christians educate their sons
. . . for gain . . .’
10. 1 Refer to paragraph 4, line 1 ‘edu’ was taking on many
secular qualities . . .
11. 3 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
12. 1 Refer to the words volition which means preference
and circumscribe which means confine
13. 2 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
14. 3 Refer to the part exposed the intra-State level of our
federal system to a dilemma of which the inter-State
and Union-State layers are free
15. 2 Refer to the part The spurt given to a multi-party
democracy by the overthrow of the Emergency in 1977
became a long-term trend later
16. 4 (1), (2) and (3) are specifically stated in the paragraph
starting People born into the middle class to parents
17. 2 Refer to the part jobs in which they are closely
supervised and are required to follow orders.
18. 1 Refer to the part Ultimately, corporate norms are based
on middle-class values
19. 3 Refer to the part We’re separated by class
20. 4 (1), (2) and (3) are specifically stated in the passage
at the end of the first
t
 paragraph and the second
paragraph.
21. 3 Refer to last paragraph, line 10 ‘they would build what
was more beautiful than . . .’
22. 4 Refer to paragraph 1, line 3 ‘Mysticism on the whole
was alien’ and last paragraph lines 6 and 7.
23. 2 Refer to last paragraph, lines 3 and 4 ‘Simplicity in the
Parthenon St. Columns . . .’
24. 4 Paragraph 4, last line ‘. . .  insignificant atom that was
man.’
25. 1 Paragraph 1, line 3 ‘Mysticism on the whole was alien’
and paragraph 2 line 1 ‘Greek art is intellectual are . . .’
26. 2 AD is clearly a mandatory pair as D talks about the
extra enclosures. Also ‘this . . ., wall’ of E should
follow from A, D and C.
27. 1 ED is a mandatory pair as the ‘they’ of D are ‘the
Japanese’ off E. Only (1) has ED in that order.
28. 4 A is the general sentence. ED and B have to come one
after another because they represent a sequence.
29. 4 Option (3) also looks correct but actually option (4) is
right because (A) is just an analogy to explain the
phenomenal mentioned in sentence (D). Also EC forms
a mandatory pair.
30. 1 D is the general sentence. E and A form a mandatory
pair because the ‘it’ mentioned in sentence A talks
about the ‘fox hunting’ mentioned in sentence E.
31. 3 It seems as if CB is mandatory. However, looking at it
closely reveals that the ‘she’ of B and the princess of
D are two different entities. The monarch and the
princess  of C are general. The ‘she’ of B is the princess
of A. Therefore, EC and CD and DA are mandatory.
32. 3 CE is mandatory as can be seen by the ‘these . . .,
food stuffs’ of E. However, this still leaves us with
three answer choices. B should follow E as can be
seen by the word ‘similarly’, hence (3) becomes the
answer.
33. 3 Link between BD ‘British’-‘foreign policy’ and then AE
from ‘overbranding’ and ‘since then . . . nervous on
promoting’ and the EC ‘but reunification . . . think again’.
Page 3


1 3 16 4 31 3 46 4 61 3 76 3 91 1 106 1 121 3 136 3
2 3 17 2 32 3 47 2 62 1 77 2 92 4 107 3 122 1 137 4
3 4 18 1 33 3 48 4 63 3 78 1 93 3 108 2 123 4 138 3
4 2 19 3 34 2 49 2 64 2 79 3 94 1 109 1 124 2 139 1
5 1 20 4 35 2 50 3 65 2 80 1 95 4 110 4 125 3 140 2
6 1 21 3 36 2 51 2 66 2 81 2 96 1 111 2 126 3 141 3
7 1 22 4 37 1 52 1 67 3 82 1 97 4 112 1 127 1 142 2
8 4 23 2 38 3 53 3 68 1 83 3 98 3 113 4 128 4 143 2
9 2 24 4 39 1 54 1 69 1 84 4 99 4 114 1 129 4 144 3
10 1 25 1 40 1 55 3 70 2 85 4 100 4 115 3 130 3 145 2
11 3 26 2 41 4 56 2 71 1 86 4 101 1 116 2 131 1 146 4
12 1 27 1 42 2 57 1 72 3 87 2 102 2 117 3 132 1 147 3
13 2 28 4 43 1 58 2 73 4 88 4 103 4 118 4 133 2 148 4
14 3 29 4 44 3 59 3 74 3 89 2 104 2 119 4 134 3 149 1
15 2 30 1 45 1 60 2 75 4 90 4 105 1 120 4 135 4 150 2
EU + RC  1 to 50 50
QA + DS 51 to 100 50
DI + DS + AR 101 to 150 50
T otal 150
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	


	
1. 3 See third paragraph last two lines. It is clearly
mentioned that ‘new free-flight concept . . . and other
planes’.
2. 3 Paragraph 5, fourth line says that there is ‘also a need
for . . ., design talents . . .’
3. 4 First paragraph fifth line says ‘. . ., happened in less
than a decade’.
4. 2 Paragraph 4 clearly talks about the increase in size of
the aircraft.
5. 1 Paragraph 2, fourth line talks about the differences
and explicitly mentions ‘takes off vertically.’
6. 1 Refer to paragraph 5, line 1 ‘became . . . more divorced
from religion.’
7. 1 Refer to paragraph 1, line 10 ‘. . . a means for
advancement not only in income but also in status.’
8. 4 Refer to paragraph 3: ‘Let us look at the clerical side
first’ and paragraph 4, line 5 ‘even though they entered
the clergy, had secular goals.’
9. 2 Refer to para 1, line 7 ‘Christians educate their sons
. . . for gain . . .’
10. 1 Refer to paragraph 4, line 1 ‘edu’ was taking on many
secular qualities . . .
11. 3 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
12. 1 Refer to the words volition which means preference
and circumscribe which means confine
13. 2 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
14. 3 Refer to the part exposed the intra-State level of our
federal system to a dilemma of which the inter-State
and Union-State layers are free
15. 2 Refer to the part The spurt given to a multi-party
democracy by the overthrow of the Emergency in 1977
became a long-term trend later
16. 4 (1), (2) and (3) are specifically stated in the paragraph
starting People born into the middle class to parents
17. 2 Refer to the part jobs in which they are closely
supervised and are required to follow orders.
18. 1 Refer to the part Ultimately, corporate norms are based
on middle-class values
19. 3 Refer to the part We’re separated by class
20. 4 (1), (2) and (3) are specifically stated in the passage
at the end of the first
t
 paragraph and the second
paragraph.
21. 3 Refer to last paragraph, line 10 ‘they would build what
was more beautiful than . . .’
22. 4 Refer to paragraph 1, line 3 ‘Mysticism on the whole
was alien’ and last paragraph lines 6 and 7.
23. 2 Refer to last paragraph, lines 3 and 4 ‘Simplicity in the
Parthenon St. Columns . . .’
24. 4 Paragraph 4, last line ‘. . .  insignificant atom that was
man.’
25. 1 Paragraph 1, line 3 ‘Mysticism on the whole was alien’
and paragraph 2 line 1 ‘Greek art is intellectual are . . .’
26. 2 AD is clearly a mandatory pair as D talks about the
extra enclosures. Also ‘this . . ., wall’ of E should
follow from A, D and C.
27. 1 ED is a mandatory pair as the ‘they’ of D are ‘the
Japanese’ off E. Only (1) has ED in that order.
28. 4 A is the general sentence. ED and B have to come one
after another because they represent a sequence.
29. 4 Option (3) also looks correct but actually option (4) is
right because (A) is just an analogy to explain the
phenomenal mentioned in sentence (D). Also EC forms
a mandatory pair.
30. 1 D is the general sentence. E and A form a mandatory
pair because the ‘it’ mentioned in sentence A talks
about the ‘fox hunting’ mentioned in sentence E.
31. 3 It seems as if CB is mandatory. However, looking at it
closely reveals that the ‘she’ of B and the princess of
D are two different entities. The monarch and the
princess  of C are general. The ‘she’ of B is the princess
of A. Therefore, EC and CD and DA are mandatory.
32. 3 CE is mandatory as can be seen by the ‘these . . .,
food stuffs’ of E. However, this still leaves us with
three answer choices. B should follow E as can be
seen by the word ‘similarly’, hence (3) becomes the
answer.
33. 3 Link between BD ‘British’-‘foreign policy’ and then AE
from ‘overbranding’ and ‘since then . . . nervous on
promoting’ and the EC ‘but reunification . . . think again’.
34. 2 (1) is wrong because ‘if they focus on cost . . . they will
reduce’ [too definite]. (3) is wrong ‘Any cost minimization’
— is too broad. (4) is wrong because ‘quality
improvement rather than cost cutting’ is not implied.
Both should be done. Hence, choice (2) is correct.
35. 2 (1) is wrong because there is no mention of choices.
(3) is wrong because ‘always try’ [too extreme]. (4) is
wrong because ‘we urge . . . to buy vans’ is too
narrow. Hence, choice (2) is correct.
36. 2 There is only one type of inertia which has both mental
and physical effects. That is why (3) and  (4) are
wrong. (1) which says ‘freezes . . . decapitates’ is too
extreme. Hence, choice (2) is correct.
37. 1 A is unambiguous, B is not right because the boss did
not offer any job. C is wrong because free holiday
accommodation does not come that frequently in our
lives. D is wrong because you never take the boss’s
job when she is away.
38. 3 The phrase ‘help with the beer’ is incorrect as it should
be ‘help to the beer’.
39. 1 It’s always ‘suggestions look great on paper’.
40. 1 It should be ‘serve themselves’ in stead of ‘service
themselves’.
41. 4 The correct phrase is ‘listen to reason’ and not ‘listen
to a reason’.
42. 2 The phrase ‘profitable business’ should be ‘a profitable
business’.
43. 1 The first part talks about how punctuation should be.
The second part gives reasons for it. If punctuation
makes the reader ‘least conscious’ then it should be
least ‘obtruding’.
44. 3 ‘stimulate’ and ‘control’ should be on almost opposite
tangents as the passage talks of why a looser fiscal
policy is better than the ‘control’ of budget.
45. 1 ‘leisure’ and ‘explore’ go with ‘peaceful and
prosperous’. (2) is wrong because when you ‘travel
abroad’ you don’t ‘ignore’ the world. (3) is obviously
wrong — you don’t ‘suffer’ the world. (4) is wrong as
‘temerity’ means audacity.
46. 4 Reading this sentence tells us that the second blank
has to be of a slightly higher degree but on the same
theme. Only (4) fits this criterion.
47. 2 If men had groveled before her then her attitude would
definitely be negative.
48. 4 The second blank cannot be filled by any other choice
other than ‘facing’.
49. 2 Again the second blank can only be filled by ‘damaged’.
50. 3 The two blanks should have contrasting words as
‘choices’ and ‘constraints’ are also contrasting.
(3) fits in.
51. 2 MDCCLXXXVII = 1000 + 500 + 100 + 100 + 50 + 10 + 10
+ 10 + 5 + 1 + 1 = 1787
52. 1 MCMXCIX = 1000 + (1000 – 100) + (100 – 10) + (10 –
1)  = 1000 + 900 + 90 + 9 = 1999
53. 3 (I) MCMLXXV = 1000 + (1000 – 100) + 50 + 10 + 10
      + 5 = 1975
(II) MCMXCV = 1000 + (1000 – 100) + (100 – 10) + 5
= 1995
(III) MVD = 1000 + (500 – 5) = 1495
(IV) MVM = 1000 + (1000 – 5) = 1995
Therefore, the answer is (II) and (IV), i.e. option (3).
For questions 54 to 56: A
1
A
2
 = 2r, B
1
B
2
 = 2r + r3 , C
1
C
2
                                                       = 2r 2r 3 +
Hence, a = 3 × 2r
            b = 3 × (2r + r3 )
            c = 3 × 
()
2r 2r 3 +
54. 1 Difference between (1) and (2) is 33r and that
between (2) and (3) is 33r . Hence, (1) is the correct
choice.
55. 3 Time taken by A = 
2r 2r 2r 2r 9
20 30 15 60
× ??
++ =
??
??
 = 
3
r
10
Therefore, B and C will also travel for time 
3
r
10
.
Now speed of B = 
()
10 3 20 +
Therefore, the distance covered
= 
()
3
10 3 20 r
10
+×
()
3
32 10 r
10
=+ × ×
()
2r 3r 3 =+ ×
 
12 2 3 3 1
BB BB BB =+ +
? B will be at B
1
.
Now time taken by for each distance are
() ()
23 3 1 12
CC CC CC
,,
40 40
120
31 31
33
++
()
()
()
()
()
22 3r 22 3r 22 3r
33
,,
40 40 120
31 31
++ +
××
++
Page 4


1 3 16 4 31 3 46 4 61 3 76 3 91 1 106 1 121 3 136 3
2 3 17 2 32 3 47 2 62 1 77 2 92 4 107 3 122 1 137 4
3 4 18 1 33 3 48 4 63 3 78 1 93 3 108 2 123 4 138 3
4 2 19 3 34 2 49 2 64 2 79 3 94 1 109 1 124 2 139 1
5 1 20 4 35 2 50 3 65 2 80 1 95 4 110 4 125 3 140 2
6 1 21 3 36 2 51 2 66 2 81 2 96 1 111 2 126 3 141 3
7 1 22 4 37 1 52 1 67 3 82 1 97 4 112 1 127 1 142 2
8 4 23 2 38 3 53 3 68 1 83 3 98 3 113 4 128 4 143 2
9 2 24 4 39 1 54 1 69 1 84 4 99 4 114 1 129 4 144 3
10 1 25 1 40 1 55 3 70 2 85 4 100 4 115 3 130 3 145 2
11 3 26 2 41 4 56 2 71 1 86 4 101 1 116 2 131 1 146 4
12 1 27 1 42 2 57 1 72 3 87 2 102 2 117 3 132 1 147 3
13 2 28 4 43 1 58 2 73 4 88 4 103 4 118 4 133 2 148 4
14 3 29 4 44 3 59 3 74 3 89 2 104 2 119 4 134 3 149 1
15 2 30 1 45 1 60 2 75 4 90 4 105 1 120 4 135 4 150 2
EU + RC  1 to 50 50
QA + DS 51 to 100 50
DI + DS + AR 101 to 150 50
T otal 150
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	


	
1. 3 See third paragraph last two lines. It is clearly
mentioned that ‘new free-flight concept . . . and other
planes’.
2. 3 Paragraph 5, fourth line says that there is ‘also a need
for . . ., design talents . . .’
3. 4 First paragraph fifth line says ‘. . ., happened in less
than a decade’.
4. 2 Paragraph 4 clearly talks about the increase in size of
the aircraft.
5. 1 Paragraph 2, fourth line talks about the differences
and explicitly mentions ‘takes off vertically.’
6. 1 Refer to paragraph 5, line 1 ‘became . . . more divorced
from religion.’
7. 1 Refer to paragraph 1, line 10 ‘. . . a means for
advancement not only in income but also in status.’
8. 4 Refer to paragraph 3: ‘Let us look at the clerical side
first’ and paragraph 4, line 5 ‘even though they entered
the clergy, had secular goals.’
9. 2 Refer to para 1, line 7 ‘Christians educate their sons
. . . for gain . . .’
10. 1 Refer to paragraph 4, line 1 ‘edu’ was taking on many
secular qualities . . .
11. 3 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
12. 1 Refer to the words volition which means preference
and circumscribe which means confine
13. 2 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
14. 3 Refer to the part exposed the intra-State level of our
federal system to a dilemma of which the inter-State
and Union-State layers are free
15. 2 Refer to the part The spurt given to a multi-party
democracy by the overthrow of the Emergency in 1977
became a long-term trend later
16. 4 (1), (2) and (3) are specifically stated in the paragraph
starting People born into the middle class to parents
17. 2 Refer to the part jobs in which they are closely
supervised and are required to follow orders.
18. 1 Refer to the part Ultimately, corporate norms are based
on middle-class values
19. 3 Refer to the part We’re separated by class
20. 4 (1), (2) and (3) are specifically stated in the passage
at the end of the first
t
 paragraph and the second
paragraph.
21. 3 Refer to last paragraph, line 10 ‘they would build what
was more beautiful than . . .’
22. 4 Refer to paragraph 1, line 3 ‘Mysticism on the whole
was alien’ and last paragraph lines 6 and 7.
23. 2 Refer to last paragraph, lines 3 and 4 ‘Simplicity in the
Parthenon St. Columns . . .’
24. 4 Paragraph 4, last line ‘. . .  insignificant atom that was
man.’
25. 1 Paragraph 1, line 3 ‘Mysticism on the whole was alien’
and paragraph 2 line 1 ‘Greek art is intellectual are . . .’
26. 2 AD is clearly a mandatory pair as D talks about the
extra enclosures. Also ‘this . . ., wall’ of E should
follow from A, D and C.
27. 1 ED is a mandatory pair as the ‘they’ of D are ‘the
Japanese’ off E. Only (1) has ED in that order.
28. 4 A is the general sentence. ED and B have to come one
after another because they represent a sequence.
29. 4 Option (3) also looks correct but actually option (4) is
right because (A) is just an analogy to explain the
phenomenal mentioned in sentence (D). Also EC forms
a mandatory pair.
30. 1 D is the general sentence. E and A form a mandatory
pair because the ‘it’ mentioned in sentence A talks
about the ‘fox hunting’ mentioned in sentence E.
31. 3 It seems as if CB is mandatory. However, looking at it
closely reveals that the ‘she’ of B and the princess of
D are two different entities. The monarch and the
princess  of C are general. The ‘she’ of B is the princess
of A. Therefore, EC and CD and DA are mandatory.
32. 3 CE is mandatory as can be seen by the ‘these . . .,
food stuffs’ of E. However, this still leaves us with
three answer choices. B should follow E as can be
seen by the word ‘similarly’, hence (3) becomes the
answer.
33. 3 Link between BD ‘British’-‘foreign policy’ and then AE
from ‘overbranding’ and ‘since then . . . nervous on
promoting’ and the EC ‘but reunification . . . think again’.
34. 2 (1) is wrong because ‘if they focus on cost . . . they will
reduce’ [too definite]. (3) is wrong ‘Any cost minimization’
— is too broad. (4) is wrong because ‘quality
improvement rather than cost cutting’ is not implied.
Both should be done. Hence, choice (2) is correct.
35. 2 (1) is wrong because there is no mention of choices.
(3) is wrong because ‘always try’ [too extreme]. (4) is
wrong because ‘we urge . . . to buy vans’ is too
narrow. Hence, choice (2) is correct.
36. 2 There is only one type of inertia which has both mental
and physical effects. That is why (3) and  (4) are
wrong. (1) which says ‘freezes . . . decapitates’ is too
extreme. Hence, choice (2) is correct.
37. 1 A is unambiguous, B is not right because the boss did
not offer any job. C is wrong because free holiday
accommodation does not come that frequently in our
lives. D is wrong because you never take the boss’s
job when she is away.
38. 3 The phrase ‘help with the beer’ is incorrect as it should
be ‘help to the beer’.
39. 1 It’s always ‘suggestions look great on paper’.
40. 1 It should be ‘serve themselves’ in stead of ‘service
themselves’.
41. 4 The correct phrase is ‘listen to reason’ and not ‘listen
to a reason’.
42. 2 The phrase ‘profitable business’ should be ‘a profitable
business’.
43. 1 The first part talks about how punctuation should be.
The second part gives reasons for it. If punctuation
makes the reader ‘least conscious’ then it should be
least ‘obtruding’.
44. 3 ‘stimulate’ and ‘control’ should be on almost opposite
tangents as the passage talks of why a looser fiscal
policy is better than the ‘control’ of budget.
45. 1 ‘leisure’ and ‘explore’ go with ‘peaceful and
prosperous’. (2) is wrong because when you ‘travel
abroad’ you don’t ‘ignore’ the world. (3) is obviously
wrong — you don’t ‘suffer’ the world. (4) is wrong as
‘temerity’ means audacity.
46. 4 Reading this sentence tells us that the second blank
has to be of a slightly higher degree but on the same
theme. Only (4) fits this criterion.
47. 2 If men had groveled before her then her attitude would
definitely be negative.
48. 4 The second blank cannot be filled by any other choice
other than ‘facing’.
49. 2 Again the second blank can only be filled by ‘damaged’.
50. 3 The two blanks should have contrasting words as
‘choices’ and ‘constraints’ are also contrasting.
(3) fits in.
51. 2 MDCCLXXXVII = 1000 + 500 + 100 + 100 + 50 + 10 + 10
+ 10 + 5 + 1 + 1 = 1787
52. 1 MCMXCIX = 1000 + (1000 – 100) + (100 – 10) + (10 –
1)  = 1000 + 900 + 90 + 9 = 1999
53. 3 (I) MCMLXXV = 1000 + (1000 – 100) + 50 + 10 + 10
      + 5 = 1975
(II) MCMXCV = 1000 + (1000 – 100) + (100 – 10) + 5
= 1995
(III) MVD = 1000 + (500 – 5) = 1495
(IV) MVM = 1000 + (1000 – 5) = 1995
Therefore, the answer is (II) and (IV), i.e. option (3).
For questions 54 to 56: A
1
A
2
 = 2r, B
1
B
2
 = 2r + r3 , C
1
C
2
                                                       = 2r 2r 3 +
Hence, a = 3 × 2r
            b = 3 × (2r + r3 )
            c = 3 × 
()
2r 2r 3 +
54. 1 Difference between (1) and (2) is 33r and that
between (2) and (3) is 33r . Hence, (1) is the correct
choice.
55. 3 Time taken by A = 
2r 2r 2r 2r 9
20 30 15 60
× ??
++ =
??
??
 = 
3
r
10
Therefore, B and C will also travel for time 
3
r
10
.
Now speed of B = 
()
10 3 20 +
Therefore, the distance covered
= 
()
3
10 3 20 r
10
+×
()
3
32 10 r
10
=+ × ×
()
2r 3r 3 =+ ×
 
12 2 3 3 1
BB BB BB =+ +
? B will be at B
1
.
Now time taken by for each distance are
() ()
23 3 1 12
CC CC CC
,,
40 40
120
31 31
33
++
()
()
()
()
()
22 3r 22 3r 22 3r
33
,,
40 40 120
31 31
++ +
××
++
i.e. 
()
13
33
2r, 2r, r
40 40 60
+
××
i.e. 
()
13
33
r, r, r
20 20 60
+
We can observe that time taken for C
1
C
2
 and C
2
C
3
combined is 
33 3
rrr
20 20 10
+=
, which is same as time
taken by A. Therefore, C will be at C
3
.
56. 2 In similar triangles, ratio of Area = Ratio of squares of
corresponding sides.
Hence, A and C reach A
3
 and C
3
 respectively.
57. 1 The whole height h will be divided into n equal parts.
Therefore, spacing between two consecutive turns
= 
h
n
.
58. 2 The four faces through which string is passing can
be shown as
n
4
n
4
n
4
n
4
n
n
n
n
Therefore, length of string in each face
=  
2
2
n
n
4
??
+
??
??
2
2
n
n
16
=+
17n
4
=
Therefore, length of string through four faces
= 
17n
4
4
× 
17n =
59. 3 As h/n = number of turns = 1 (as given). Hence h = n.
60. 2 Consider first zone. The number of telephone lines
can be shown a follows.
= 9 lines
Therefore, total number of lines required for internal
connections in each zone = 9 × 4 = 36 lines.
Now consider the connection between any two
zones.
Each town in first zone can be connected to three
towns in the second zone.
Therefore, the lines required = 3 × 3 = 9
Therefore, total number of lines required for connecting
towns of different zones = 
4
C
2
 × 9 = 6 × 9 = 54
Therefore, total number of lines in all = 54 + 36 = 90
61. 3 PQ || AC
CQ AP 4
QB PB 3
?= =
QD || PC
PD CQ 4
DB QB 3
?= =
As 
PD 4
DB 3
=
4
PD PB
7
?=
AP AP
4 PD
PB
7
?=
          
7AP
4PB
=×
          
74
43
=×
           = 7 : 3
62. 1 Let AB be the tower and C and D be the initial and final
positions of the car.
45° 60°
A
B CD
30°
Page 5


1 3 16 4 31 3 46 4 61 3 76 3 91 1 106 1 121 3 136 3
2 3 17 2 32 3 47 2 62 1 77 2 92 4 107 3 122 1 137 4
3 4 18 1 33 3 48 4 63 3 78 1 93 3 108 2 123 4 138 3
4 2 19 3 34 2 49 2 64 2 79 3 94 1 109 1 124 2 139 1
5 1 20 4 35 2 50 3 65 2 80 1 95 4 110 4 125 3 140 2
6 1 21 3 36 2 51 2 66 2 81 2 96 1 111 2 126 3 141 3
7 1 22 4 37 1 52 1 67 3 82 1 97 4 112 1 127 1 142 2
8 4 23 2 38 3 53 3 68 1 83 3 98 3 113 4 128 4 143 2
9 2 24 4 39 1 54 1 69 1 84 4 99 4 114 1 129 4 144 3
10 1 25 1 40 1 55 3 70 2 85 4 100 4 115 3 130 3 145 2
11 3 26 2 41 4 56 2 71 1 86 4 101 1 116 2 131 1 146 4
12 1 27 1 42 2 57 1 72 3 87 2 102 2 117 3 132 1 147 3
13 2 28 4 43 1 58 2 73 4 88 4 103 4 118 4 133 2 148 4
14 3 29 4 44 3 59 3 74 3 89 2 104 2 119 4 134 3 149 1
15 2 30 1 45 1 60 2 75 4 90 4 105 1 120 4 135 4 150 2
EU + RC  1 to 50 50
QA + DS 51 to 100 50
DI + DS + AR 101 to 150 50
T otal 150
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	


	
1. 3 See third paragraph last two lines. It is clearly
mentioned that ‘new free-flight concept . . . and other
planes’.
2. 3 Paragraph 5, fourth line says that there is ‘also a need
for . . ., design talents . . .’
3. 4 First paragraph fifth line says ‘. . ., happened in less
than a decade’.
4. 2 Paragraph 4 clearly talks about the increase in size of
the aircraft.
5. 1 Paragraph 2, fourth line talks about the differences
and explicitly mentions ‘takes off vertically.’
6. 1 Refer to paragraph 5, line 1 ‘became . . . more divorced
from religion.’
7. 1 Refer to paragraph 1, line 10 ‘. . . a means for
advancement not only in income but also in status.’
8. 4 Refer to paragraph 3: ‘Let us look at the clerical side
first’ and paragraph 4, line 5 ‘even though they entered
the clergy, had secular goals.’
9. 2 Refer to para 1, line 7 ‘Christians educate their sons
. . . for gain . . .’
10. 1 Refer to paragraph 4, line 1 ‘edu’ was taking on many
secular qualities . . .
11. 3 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
12. 1 Refer to the words volition which means preference
and circumscribe which means confine
13. 2 Refer to the part while the dynamics of federalism
and democracy have given added strength to the rights
given to the States in the Constitution, they have worked
against the rights of Panchayats
14. 3 Refer to the part exposed the intra-State level of our
federal system to a dilemma of which the inter-State
and Union-State layers are free
15. 2 Refer to the part The spurt given to a multi-party
democracy by the overthrow of the Emergency in 1977
became a long-term trend later
16. 4 (1), (2) and (3) are specifically stated in the paragraph
starting People born into the middle class to parents
17. 2 Refer to the part jobs in which they are closely
supervised and are required to follow orders.
18. 1 Refer to the part Ultimately, corporate norms are based
on middle-class values
19. 3 Refer to the part We’re separated by class
20. 4 (1), (2) and (3) are specifically stated in the passage
at the end of the first
t
 paragraph and the second
paragraph.
21. 3 Refer to last paragraph, line 10 ‘they would build what
was more beautiful than . . .’
22. 4 Refer to paragraph 1, line 3 ‘Mysticism on the whole
was alien’ and last paragraph lines 6 and 7.
23. 2 Refer to last paragraph, lines 3 and 4 ‘Simplicity in the
Parthenon St. Columns . . .’
24. 4 Paragraph 4, last line ‘. . .  insignificant atom that was
man.’
25. 1 Paragraph 1, line 3 ‘Mysticism on the whole was alien’
and paragraph 2 line 1 ‘Greek art is intellectual are . . .’
26. 2 AD is clearly a mandatory pair as D talks about the
extra enclosures. Also ‘this . . ., wall’ of E should
follow from A, D and C.
27. 1 ED is a mandatory pair as the ‘they’ of D are ‘the
Japanese’ off E. Only (1) has ED in that order.
28. 4 A is the general sentence. ED and B have to come one
after another because they represent a sequence.
29. 4 Option (3) also looks correct but actually option (4) is
right because (A) is just an analogy to explain the
phenomenal mentioned in sentence (D). Also EC forms
a mandatory pair.
30. 1 D is the general sentence. E and A form a mandatory
pair because the ‘it’ mentioned in sentence A talks
about the ‘fox hunting’ mentioned in sentence E.
31. 3 It seems as if CB is mandatory. However, looking at it
closely reveals that the ‘she’ of B and the princess of
D are two different entities. The monarch and the
princess  of C are general. The ‘she’ of B is the princess
of A. Therefore, EC and CD and DA are mandatory.
32. 3 CE is mandatory as can be seen by the ‘these . . .,
food stuffs’ of E. However, this still leaves us with
three answer choices. B should follow E as can be
seen by the word ‘similarly’, hence (3) becomes the
answer.
33. 3 Link between BD ‘British’-‘foreign policy’ and then AE
from ‘overbranding’ and ‘since then . . . nervous on
promoting’ and the EC ‘but reunification . . . think again’.
34. 2 (1) is wrong because ‘if they focus on cost . . . they will
reduce’ [too definite]. (3) is wrong ‘Any cost minimization’
— is too broad. (4) is wrong because ‘quality
improvement rather than cost cutting’ is not implied.
Both should be done. Hence, choice (2) is correct.
35. 2 (1) is wrong because there is no mention of choices.
(3) is wrong because ‘always try’ [too extreme]. (4) is
wrong because ‘we urge . . . to buy vans’ is too
narrow. Hence, choice (2) is correct.
36. 2 There is only one type of inertia which has both mental
and physical effects. That is why (3) and  (4) are
wrong. (1) which says ‘freezes . . . decapitates’ is too
extreme. Hence, choice (2) is correct.
37. 1 A is unambiguous, B is not right because the boss did
not offer any job. C is wrong because free holiday
accommodation does not come that frequently in our
lives. D is wrong because you never take the boss’s
job when she is away.
38. 3 The phrase ‘help with the beer’ is incorrect as it should
be ‘help to the beer’.
39. 1 It’s always ‘suggestions look great on paper’.
40. 1 It should be ‘serve themselves’ in stead of ‘service
themselves’.
41. 4 The correct phrase is ‘listen to reason’ and not ‘listen
to a reason’.
42. 2 The phrase ‘profitable business’ should be ‘a profitable
business’.
43. 1 The first part talks about how punctuation should be.
The second part gives reasons for it. If punctuation
makes the reader ‘least conscious’ then it should be
least ‘obtruding’.
44. 3 ‘stimulate’ and ‘control’ should be on almost opposite
tangents as the passage talks of why a looser fiscal
policy is better than the ‘control’ of budget.
45. 1 ‘leisure’ and ‘explore’ go with ‘peaceful and
prosperous’. (2) is wrong because when you ‘travel
abroad’ you don’t ‘ignore’ the world. (3) is obviously
wrong — you don’t ‘suffer’ the world. (4) is wrong as
‘temerity’ means audacity.
46. 4 Reading this sentence tells us that the second blank
has to be of a slightly higher degree but on the same
theme. Only (4) fits this criterion.
47. 2 If men had groveled before her then her attitude would
definitely be negative.
48. 4 The second blank cannot be filled by any other choice
other than ‘facing’.
49. 2 Again the second blank can only be filled by ‘damaged’.
50. 3 The two blanks should have contrasting words as
‘choices’ and ‘constraints’ are also contrasting.
(3) fits in.
51. 2 MDCCLXXXVII = 1000 + 500 + 100 + 100 + 50 + 10 + 10
+ 10 + 5 + 1 + 1 = 1787
52. 1 MCMXCIX = 1000 + (1000 – 100) + (100 – 10) + (10 –
1)  = 1000 + 900 + 90 + 9 = 1999
53. 3 (I) MCMLXXV = 1000 + (1000 – 100) + 50 + 10 + 10
      + 5 = 1975
(II) MCMXCV = 1000 + (1000 – 100) + (100 – 10) + 5
= 1995
(III) MVD = 1000 + (500 – 5) = 1495
(IV) MVM = 1000 + (1000 – 5) = 1995
Therefore, the answer is (II) and (IV), i.e. option (3).
For questions 54 to 56: A
1
A
2
 = 2r, B
1
B
2
 = 2r + r3 , C
1
C
2
                                                       = 2r 2r 3 +
Hence, a = 3 × 2r
            b = 3 × (2r + r3 )
            c = 3 × 
()
2r 2r 3 +
54. 1 Difference between (1) and (2) is 33r and that
between (2) and (3) is 33r . Hence, (1) is the correct
choice.
55. 3 Time taken by A = 
2r 2r 2r 2r 9
20 30 15 60
× ??
++ =
??
??
 = 
3
r
10
Therefore, B and C will also travel for time 
3
r
10
.
Now speed of B = 
()
10 3 20 +
Therefore, the distance covered
= 
()
3
10 3 20 r
10
+×
()
3
32 10 r
10
=+ × ×
()
2r 3r 3 =+ ×
 
12 2 3 3 1
BB BB BB =+ +
? B will be at B
1
.
Now time taken by for each distance are
() ()
23 3 1 12
CC CC CC
,,
40 40
120
31 31
33
++
()
()
()
()
()
22 3r 22 3r 22 3r
33
,,
40 40 120
31 31
++ +
××
++
i.e. 
()
13
33
2r, 2r, r
40 40 60
+
××
i.e. 
()
13
33
r, r, r
20 20 60
+
We can observe that time taken for C
1
C
2
 and C
2
C
3
combined is 
33 3
rrr
20 20 10
+=
, which is same as time
taken by A. Therefore, C will be at C
3
.
56. 2 In similar triangles, ratio of Area = Ratio of squares of
corresponding sides.
Hence, A and C reach A
3
 and C
3
 respectively.
57. 1 The whole height h will be divided into n equal parts.
Therefore, spacing between two consecutive turns
= 
h
n
.
58. 2 The four faces through which string is passing can
be shown as
n
4
n
4
n
4
n
4
n
n
n
n
Therefore, length of string in each face
=  
2
2
n
n
4
??
+
??
??
2
2
n
n
16
=+
17n
4
=
Therefore, length of string through four faces
= 
17n
4
4
× 
17n =
59. 3 As h/n = number of turns = 1 (as given). Hence h = n.
60. 2 Consider first zone. The number of telephone lines
can be shown a follows.
= 9 lines
Therefore, total number of lines required for internal
connections in each zone = 9 × 4 = 36 lines.
Now consider the connection between any two
zones.
Each town in first zone can be connected to three
towns in the second zone.
Therefore, the lines required = 3 × 3 = 9
Therefore, total number of lines required for connecting
towns of different zones = 
4
C
2
 × 9 = 6 × 9 = 54
Therefore, total number of lines in all = 54 + 36 = 90
61. 3 PQ || AC
CQ AP 4
QB PB 3
?= =
QD || PC
PD CQ 4
DB QB 3
?= =
As 
PD 4
DB 3
=
4
PD PB
7
?=
AP AP
4 PD
PB
7
?=
          
7AP
4PB
=×
          
74
43
=×
           = 7 : 3
62. 1 Let AB be the tower and C and D be the initial and final
positions of the car.
45° 60°
A
B CD
30°
Let AB = 1
Therefore, BC =1
AB
tan 60
BD
?=
1
3
BD
?=
1
BD
3
?=
CD BC BD ?= -
         
1
1
3
=-
As time for traveling CD, i.e. 
1
1
3
- is 10 min
? Time required for traveling BD 
1
3
10
1
1
3
=×
-
1
10
31
=×
-
 
10
31
=
-
  
10 3 1
31 3 1
+
=×
-+
()
10 3 1
2
+
= ()
53 1min =+
63. 3
A
B
C
D
E
x
y
x
y
180 – 2y
96°
Using exterior angle theorem
AB 96 ?+?=
i.e. x + y = 96 … (i)
Also x + (180 – 2y) + 96 = 180°
? x – 2y + 96 = 0
? x – 2y = –96 … (ii)
Solving (i) and (ii),
y = 64° and x = 32°
DBC y 64 ?? = =


64. 2 ax
2
 + bx + 1 = 0
For real roots, 
2
b4ac 0 -=
2
b4a(1) 0 ?- =
2
b4a ?=
For a = 1, 4a = 4, ? b = 2, 3, 4
 a = 2, 4a = 8, ? b = 3, 4
a  = 3, 4a = 12, ? b = 4
a = 4, 4a = 16, ? b = 4
? Number of equations possible = 7.
65. 2
10 10 x
log x log x 2log 10 -=
?
10 x
x
log log 100
x
??
=
??
??
10
10
10
log 100
log x
log x
?=
10
10
12
log x
2logx
?=
()
2
10
log x 4 ?=
10
log x 2 ?=±
10 10
log x 2 or log x 2 ?= =-
22
10 x or 10 x
-
?= =
1
x 100 or x
100
?= =
66. 2 Such numbers are 10, 17, …, 94.
These numbers are in AP. There are 13 numbers.
10 94
Sum 13
2
+
?= ×
            = 52 × 13 = 676
67. 3 Total codes which can be formed = 9 × 9 = 81.
(Distinct digit codes)
The digits which can confuse are 1, 6, 8, 9, from
these digit we can form the codes = 4 × 3 = 12
Out of these 12 codes two numbers 69 and 96 will not
create confusion.
Therefore, (12 – 2) = 10 codes will create a confusion.
Therefore, total codes without confusion
= 81 – 10 = 71.
68. 1 Consider a square of side x.
Therefore, its area = x
2
Therefore, area of the largest circle = 
2
x
2
??
p
??
??
,
which can be cut from square = 
2
x
4
p
.
Therefore, area scrapped = 
22 2
xx x1
44
pp ??
-= -
??
??