CAT Past Year Question Paper Solution - 2000 | Additional Study Material for CAT PDF Download

 Page 1


Page 1
CAT 2000 Actual Paper
1 b 21 d 41 b 61 b 81 a 101 a 121 a 141 a 161 b
2 a 22 d 42 d 62 b 82 c 102 d 122 c 142 b 162 a
3 c 23 b 43 a 63 a 83 d 103 b 123 b 143 b 163 c
4 d 24 a 44 c 64 d 84 b 104 a 124 c 144 c 164 a
5 a 25 d 45 c 65 d 85 b 105 b 125 b 145 d 165 a
6 c 26 b 46 b 66 a 86 c 106 a 126 b 146 a
7 d 27 c 47 d 67 c 87 c 107 b 127 a 147 d
8 b 28 d 48 a 68 c 88 b 108 c 128 c 148 d
9 d 29 a 49 c 69 d 89 c 109 d 129 d 149 c
10 b 30 d 50 d 70 a 90 b 110 d 130 d 150 a
11 d 31 a 51 a 71 b 91 * 111 c 131 c 151 d
12 b 32 b 52 c 72 c 92 c 112 b 132 a 152 b
13 a 33 c 53 a 73 a 93 c 113 d 133 c 153 d
14 c 34 a 54 b 74 d 94 d 114 c 134 c 154 c
15 a 35 d 55 d 75 d 95 b 115 b 135 a 155 d
16 d 36 c 56 c 76 a 96 a 116 a 136 c 156 a
17 b 37 a 57 b 77 d 97 c 117 d 137 d 157 b
18 c 38 b 58 d 78 a 98 d 118 b 138 b 158 a
19 a 39 d 59 c 79 b 99 b 119 d 139 d 159 b
20 c 40 b 60 c 80 a 100 b 120 c 140 d 160 c
EU + RC       1 to 55     55
QA       56 to 110     55
CR + DI + DS + AR   111 to 165     55
Total                          165
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	






Page 2


Page 1
CAT 2000 Actual Paper
1 b 21 d 41 b 61 b 81 a 101 a 121 a 141 a 161 b
2 a 22 d 42 d 62 b 82 c 102 d 122 c 142 b 162 a
3 c 23 b 43 a 63 a 83 d 103 b 123 b 143 b 163 c
4 d 24 a 44 c 64 d 84 b 104 a 124 c 144 c 164 a
5 a 25 d 45 c 65 d 85 b 105 b 125 b 145 d 165 a
6 c 26 b 46 b 66 a 86 c 106 a 126 b 146 a
7 d 27 c 47 d 67 c 87 c 107 b 127 a 147 d
8 b 28 d 48 a 68 c 88 b 108 c 128 c 148 d
9 d 29 a 49 c 69 d 89 c 109 d 129 d 149 c
10 b 30 d 50 d 70 a 90 b 110 d 130 d 150 a
11 d 31 a 51 a 71 b 91 * 111 c 131 c 151 d
12 b 32 b 52 c 72 c 92 c 112 b 132 a 152 b
13 a 33 c 53 a 73 a 93 c 113 d 133 c 153 d
14 c 34 a 54 b 74 d 94 d 114 c 134 c 154 c
15 a 35 d 55 d 75 d 95 b 115 b 135 a 155 d
16 d 36 c 56 c 76 a 96 a 116 a 136 c 156 a
17 b 37 a 57 b 77 d 97 c 117 d 137 d 157 b
18 c 38 b 58 d 78 a 98 d 118 b 138 b 158 a
19 a 39 d 59 c 79 b 99 b 119 d 139 d 159 b
20 c 40 b 60 c 80 a 100 b 120 c 140 d 160 c
EU + RC       1 to 55     55
QA       56 to 110     55
CR + DI + DS + AR   111 to 165     55
Total                          165
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	






Page 2 CAT 2000 Actual Paper
1. b The second paragraph clearly makes choice (b)
correct.
2. a (a) is given in the opening lines of the fifth paragraph.
(b), (c) and (d) are imprecise interpretations.
3. c Choices (b) and (d) are general observations. Choice
(c) is also explicitly stated in the 3rd  line of the fourth
paragraph.
4. d Refer to the end of paragraph 2, where both the
problem and the concern have been addressed. (a),
(b) and (c) sound far-fetched in this regard.
5. a (b), (c) and (d) are clearly given in paragraph 2.
‘reduced biodiversity’ suggests that (a) is the answer.
6. c The essence of paragraph 1 is captured in (c).
Thus, (a), (b) and (d) are irrelevant.
7. d (a), (b) and (c) are outlined in paragraph 3. Hence, (d)
is the answer.
8. b Refer to the concluding sentence of paragraph 3 and
the opening sentence of paragraph 4 to mark (b) with
confidence. (a) and (c) are not the main concerns. (d)
is an obtuse observation with regard to our question.
9. d All the reasons are cited in the first paragraph itself.
Choice  (a) is mentioned in the 2nd line, (b) in the
second last line, (c) in the last line and (d) is not
mentioned. Instead mass media’s impact is also stated
in the para. This makes choice (d) correct.
10. b The opening lines of the final paragraph are represented
suitably in (b). (a), (c) and (d) are doubtful choices.
11. d (a), (b) and (c) are stated vividly in the second
paragraph, hence (d) is the answer.
12. b The author mentions this aspect in the third and fourth
last lines of the third para. This makes choice (b)
correct.
13. a (a) has been described as revolutionary in the third
paragraph. (b), (c) and (d) are given in the fourth
paragraph as the conservative tendency.
14. c The latter part of the fifth paragraph makes it clear that
(c) is the answer. (a), (b) and (d) are not mentioned.
15. a (a) is stated in the opening lines of the fourth
paragraph. (b), (c) and (d) are thus peripheral
observations.
16. d The first line of the seventh paragraph begins with
considering a “dual trap” and this till the fifth line tells
us about the details of the same. This makes choice
(d) correct.
17. b Refer to the beginning of paragraph 2, paragraph 3
and paragraph 5 to get (b) as the answer.
18. c Refer to the second sentence of paragraph 4 to mark
(c) as the answer.
19. a The third line of the sixth paragraph makes choice (a)
the answer.
20. c The third sentence of the seventh paragraph makes
choice (c) the answer.
21. d Refer to the last sentence of paragraph 6 to mark (d)
as the answer.
22. d Russell Cowburn and Mark Welland are trying to build
the magnetic chip that can store and manipulate infor-
mation. Hence (d) is the answer.
23. b The last lines of the eighth paragraph make choice (b)
correct.
24. a Refer to the second sentence of paragraph 1 to mark
(a) as the answer. (b) is stated in the opening lines of
the passage. The opening lines of the sixth paragraph
confirm (c). The concluding lines of the fourth
paragraph confirm (d).
25. d Choice (a) is incorrect because the author is not talking
about the failure otherwise he’d have looked at
reasons for the failure. Choice (b) is incorrect because
community perspectives are not presented, instead
technology’s impact on the community is mentioned.
Choice (c) is incorrect because the negative effects
of both are present. Choice (d) is the best choice as
the author is providing an analogy.
26. b (b) can be easily inferred from the latter half of the
passage. (a) and (c) are clearly not true. (d) does not
find support in the passage.
27. c (c) is the obvious answer as can be amply inferred
from the last paragraph. (a), (b) and (d) are uncertain
choices.
28. d The introduction of the bereavement counsellor in the
ninth paragraph points towards (d) as the answer.
29. a (b), (c) and (d) can be immediately ruled out. The first
paragraph shows that (a) is the answer.
30. d Refer to the fourth sentence in the sixth paragraph
and the concluding sentence of the passage to get
(a), (b) and (c) as valid choices.
31. a (b) may be right. (c) and (d) are unlikely answers. (a)
is stated in the concluding sentence of the ninth
paragraph.
32. b (a), (c) and (d) are stated overtly in the passage. (b)
is not true as the second innovation did not lead to the
migration of the community.
33. c (c) is the best answer as can be derived from the
concluding lines of paragraph 7 and explained further
in detail in paragraph 8.
34. a The answer is (a) as is explicitly given in paragraph 1.
35. d Refer to the second paragraph third line ‘preserves
from’. The best answer is thus (d).
Page 3


Page 1
CAT 2000 Actual Paper
1 b 21 d 41 b 61 b 81 a 101 a 121 a 141 a 161 b
2 a 22 d 42 d 62 b 82 c 102 d 122 c 142 b 162 a
3 c 23 b 43 a 63 a 83 d 103 b 123 b 143 b 163 c
4 d 24 a 44 c 64 d 84 b 104 a 124 c 144 c 164 a
5 a 25 d 45 c 65 d 85 b 105 b 125 b 145 d 165 a
6 c 26 b 46 b 66 a 86 c 106 a 126 b 146 a
7 d 27 c 47 d 67 c 87 c 107 b 127 a 147 d
8 b 28 d 48 a 68 c 88 b 108 c 128 c 148 d
9 d 29 a 49 c 69 d 89 c 109 d 129 d 149 c
10 b 30 d 50 d 70 a 90 b 110 d 130 d 150 a
11 d 31 a 51 a 71 b 91 * 111 c 131 c 151 d
12 b 32 b 52 c 72 c 92 c 112 b 132 a 152 b
13 a 33 c 53 a 73 a 93 c 113 d 133 c 153 d
14 c 34 a 54 b 74 d 94 d 114 c 134 c 154 c
15 a 35 d 55 d 75 d 95 b 115 b 135 a 155 d
16 d 36 c 56 c 76 a 96 a 116 a 136 c 156 a
17 b 37 a 57 b 77 d 97 c 117 d 137 d 157 b
18 c 38 b 58 d 78 a 98 d 118 b 138 b 158 a
19 a 39 d 59 c 79 b 99 b 119 d 139 d 159 b
20 c 40 b 60 c 80 a 100 b 120 c 140 d 160 c
EU + RC       1 to 55     55
QA       56 to 110     55
CR + DI + DS + AR   111 to 165     55
Total                          165
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	






Page 2 CAT 2000 Actual Paper
1. b The second paragraph clearly makes choice (b)
correct.
2. a (a) is given in the opening lines of the fifth paragraph.
(b), (c) and (d) are imprecise interpretations.
3. c Choices (b) and (d) are general observations. Choice
(c) is also explicitly stated in the 3rd  line of the fourth
paragraph.
4. d Refer to the end of paragraph 2, where both the
problem and the concern have been addressed. (a),
(b) and (c) sound far-fetched in this regard.
5. a (b), (c) and (d) are clearly given in paragraph 2.
‘reduced biodiversity’ suggests that (a) is the answer.
6. c The essence of paragraph 1 is captured in (c).
Thus, (a), (b) and (d) are irrelevant.
7. d (a), (b) and (c) are outlined in paragraph 3. Hence, (d)
is the answer.
8. b Refer to the concluding sentence of paragraph 3 and
the opening sentence of paragraph 4 to mark (b) with
confidence. (a) and (c) are not the main concerns. (d)
is an obtuse observation with regard to our question.
9. d All the reasons are cited in the first paragraph itself.
Choice  (a) is mentioned in the 2nd line, (b) in the
second last line, (c) in the last line and (d) is not
mentioned. Instead mass media’s impact is also stated
in the para. This makes choice (d) correct.
10. b The opening lines of the final paragraph are represented
suitably in (b). (a), (c) and (d) are doubtful choices.
11. d (a), (b) and (c) are stated vividly in the second
paragraph, hence (d) is the answer.
12. b The author mentions this aspect in the third and fourth
last lines of the third para. This makes choice (b)
correct.
13. a (a) has been described as revolutionary in the third
paragraph. (b), (c) and (d) are given in the fourth
paragraph as the conservative tendency.
14. c The latter part of the fifth paragraph makes it clear that
(c) is the answer. (a), (b) and (d) are not mentioned.
15. a (a) is stated in the opening lines of the fourth
paragraph. (b), (c) and (d) are thus peripheral
observations.
16. d The first line of the seventh paragraph begins with
considering a “dual trap” and this till the fifth line tells
us about the details of the same. This makes choice
(d) correct.
17. b Refer to the beginning of paragraph 2, paragraph 3
and paragraph 5 to get (b) as the answer.
18. c Refer to the second sentence of paragraph 4 to mark
(c) as the answer.
19. a The third line of the sixth paragraph makes choice (a)
the answer.
20. c The third sentence of the seventh paragraph makes
choice (c) the answer.
21. d Refer to the last sentence of paragraph 6 to mark (d)
as the answer.
22. d Russell Cowburn and Mark Welland are trying to build
the magnetic chip that can store and manipulate infor-
mation. Hence (d) is the answer.
23. b The last lines of the eighth paragraph make choice (b)
correct.
24. a Refer to the second sentence of paragraph 1 to mark
(a) as the answer. (b) is stated in the opening lines of
the passage. The opening lines of the sixth paragraph
confirm (c). The concluding lines of the fourth
paragraph confirm (d).
25. d Choice (a) is incorrect because the author is not talking
about the failure otherwise he’d have looked at
reasons for the failure. Choice (b) is incorrect because
community perspectives are not presented, instead
technology’s impact on the community is mentioned.
Choice (c) is incorrect because the negative effects
of both are present. Choice (d) is the best choice as
the author is providing an analogy.
26. b (b) can be easily inferred from the latter half of the
passage. (a) and (c) are clearly not true. (d) does not
find support in the passage.
27. c (c) is the obvious answer as can be amply inferred
from the last paragraph. (a), (b) and (d) are uncertain
choices.
28. d The introduction of the bereavement counsellor in the
ninth paragraph points towards (d) as the answer.
29. a (b), (c) and (d) can be immediately ruled out. The first
paragraph shows that (a) is the answer.
30. d Refer to the fourth sentence in the sixth paragraph
and the concluding sentence of the passage to get
(a), (b) and (c) as valid choices.
31. a (b) may be right. (c) and (d) are unlikely answers. (a)
is stated in the concluding sentence of the ninth
paragraph.
32. b (a), (c) and (d) are stated overtly in the passage. (b)
is not true as the second innovation did not lead to the
migration of the community.
33. c (c) is the best answer as can be derived from the
concluding lines of paragraph 7 and explained further
in detail in paragraph 8.
34. a The answer is (a) as is explicitly given in paragraph 1.
35. d Refer to the second paragraph third line ‘preserves
from’. The best answer is thus (d).
Page 3
CAT 2000 Actual Paper
36. c The second sentence of the fifth paragraph makes it
clear that (c) is the best answer.
37. a The opening lines of the last paragraph make it clear
that (a) is the answer.
38. b (a), (c) and (d) can be inferred from paragraphs 7 and
8. But it is not mentioned that the conductor can modify
the music, hence (b) is the answer.
39. d Information presented in the last line of paragraph 6
makes choice (d) correct.
40. b (d) is an observation, not the overall idea. (a) and (c)
are also observations. (b) best captures the central
idea of the passage as is evident from the latter half of
the passage.
41. b B has to follow 1 as it exemplifies the principle
mentioned in 1. A continues the explanation of what
happens when light bounces off 2 surfaces. D explains
further and C6 gives the result.
42. d B follows 1 as low light conditions are same as
darkened conditions. DCA discuss the experiment and
6 the happy result.
43. a D follows 1 as ‘this’ in D is in reference to nation state
concept in 1. B follows D by explaining why that
concept is being criticized. A continues with other
reasons and C makes a further addition with “Even
worse....”.  (C-6) also forms a mandatory pair, thereby
making choice (a) correct.
44. c C follows 1 as a logical continuation, the questionable
— suspicion link A logically follows C by comparing
position in humanities. B and D give reasons for
distortions in humanities. (D-6) is a mandatory pair
since ‘D —  mentions “Can be defended” and 6 mentions
....“... no such defences”. This makes choice (c)
correct.
45. c A gives the reason why communists despised horses
in 1. What they preferred instead is given in B.
C makes allowances and D6 presents the alternate
view.
46. b Future is what the company also needs to keep in
mind when selling popular contemporary art. (a) and
(c) are wrong because we need not keep an eye on
the present, it’s already here. Remember that we have
the word ‘though’ in the sentence and hence, the words
must contrast ‘future-popular (now)’.
47. d Choice (b) is ruled out since the government cannot
make money in this case. Choices (a) and (c) are
ruled out since they introduce ‘rich’ into the context. In
the scenario presented in the sentence, it’s obvious
that (d) is the best choice since touts (middlemen who
are illegal/without proper authority). This makes (d)
correct.
48. a Choice (c) is ruled out as ‘make out’ is a rather informal
usage. ‘Let alone’ means what will follow will be a
stronger/more concrete expression than
‘reconciliation’. In this case, decide is a better opinion
than understand and choice (a) is correct.
49. c ‘Depressing times of spiraling prices’ and ‘soaring crime
rates’ fits in best. (b) is out, because ‘booming’ and
‘crime rates’ don’t go well together. ‘spiralling’ prices
are prices that rise out of order. Crime rates cannot
‘debilitate’, and ‘soaring’ matches the depressing tone
of ‘spiralling’.
50. d Choice (a) is ruled out as ‘style’ and ‘manners’ are
similar. Choice (c) is ruled out as nouveau riche means
‘new rich’. ‘Manners and Morals’ is a phrase and goes
well. Choice (b) is incorrect as a ‘recurrent story in
literature’ is incorrect. A recurrent theme which means
many works which are similar in that they have this
theme makes sense. This makes choice (d) correct.
51. a EC is the mandatory pair, as ‘those’ in C refers to male
children in E. B opens the paragraph as it introduces
‘Bellicose spartans’. ‘military training’ in C is described
in D and A.
52. c B opens the paragraph by introducing the motion of
‘human being drawing images in cave’. C introduces
the new means of image making, i.e. photography.
The inventory in D refers to the images in C. ‘everything
has been photographed’ in D should be followed by
‘insatiability’ in A. ‘confinement’ in A is then followed by
‘enlarge our notions’ in E.
53. a AE is a mandatory pair because ‘breadth of information’
mentioned in E is in reference to ‘basic information’ in
A.  ‘extending over’ in E should be followed by
‘confined’ in C as a contrast. B follows with ‘nor’ —
the same concept. D gives the ‘contrary’ view in B.
54. b C introduces the paragraph with the concept of social
cost of theft. ‘Both parties’ in A refer to ‘thief and
victim’ in C. B describes simple property rights. DE
describes escalating costs and methods.
55. d DB is a mandatory pair as B is an example of what is
being stated in D. A — ‘likelihood of an accident’ follows
B — ‘accident’. C describes the outcome.
56. c 99 × D = a
1
a
2
. Thus, 
12
aa
D= .
99
Hence, D must be
multiplied by 198 as 198 is a multiple of 99.
57. b The data is not linear. So check (b).
Let the equation be y = a + bx +  cx
2
.
Putting the values of x and y, we get the following
result.
? 4 = a + b + c, 8 = a + 2b + 4c and 14 = a + 3b + 9c.
Solving these, we get a = 2, b = 1 and c = 1.
So the equation is y = 2 + x + x
2
.
58. d a
1
 = 1, a
2
 = 7, a
3
 = 19, a
4
 = 43.
The difference between successive terms is in series
6, 12, 24, 48, ..., i.e. they are in GP. Hence,
()
()
99
n
99
100 1
2 – 1
r – 1
aa a 16 62 – 5
r –12 – 1
??
=+ =+ = × ??
??
??
Page 4


Page 1
CAT 2000 Actual Paper
1 b 21 d 41 b 61 b 81 a 101 a 121 a 141 a 161 b
2 a 22 d 42 d 62 b 82 c 102 d 122 c 142 b 162 a
3 c 23 b 43 a 63 a 83 d 103 b 123 b 143 b 163 c
4 d 24 a 44 c 64 d 84 b 104 a 124 c 144 c 164 a
5 a 25 d 45 c 65 d 85 b 105 b 125 b 145 d 165 a
6 c 26 b 46 b 66 a 86 c 106 a 126 b 146 a
7 d 27 c 47 d 67 c 87 c 107 b 127 a 147 d
8 b 28 d 48 a 68 c 88 b 108 c 128 c 148 d
9 d 29 a 49 c 69 d 89 c 109 d 129 d 149 c
10 b 30 d 50 d 70 a 90 b 110 d 130 d 150 a
11 d 31 a 51 a 71 b 91 * 111 c 131 c 151 d
12 b 32 b 52 c 72 c 92 c 112 b 132 a 152 b
13 a 33 c 53 a 73 a 93 c 113 d 133 c 153 d
14 c 34 a 54 b 74 d 94 d 114 c 134 c 154 c
15 a 35 d 55 d 75 d 95 b 115 b 135 a 155 d
16 d 36 c 56 c 76 a 96 a 116 a 136 c 156 a
17 b 37 a 57 b 77 d 97 c 117 d 137 d 157 b
18 c 38 b 58 d 78 a 98 d 118 b 138 b 158 a
19 a 39 d 59 c 79 b 99 b 119 d 139 d 159 b
20 c 40 b 60 c 80 a 100 b 120 c 140 d 160 c
EU + RC       1 to 55     55
QA       56 to 110     55
CR + DI + DS + AR   111 to 165     55
Total                          165
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	






Page 2 CAT 2000 Actual Paper
1. b The second paragraph clearly makes choice (b)
correct.
2. a (a) is given in the opening lines of the fifth paragraph.
(b), (c) and (d) are imprecise interpretations.
3. c Choices (b) and (d) are general observations. Choice
(c) is also explicitly stated in the 3rd  line of the fourth
paragraph.
4. d Refer to the end of paragraph 2, where both the
problem and the concern have been addressed. (a),
(b) and (c) sound far-fetched in this regard.
5. a (b), (c) and (d) are clearly given in paragraph 2.
‘reduced biodiversity’ suggests that (a) is the answer.
6. c The essence of paragraph 1 is captured in (c).
Thus, (a), (b) and (d) are irrelevant.
7. d (a), (b) and (c) are outlined in paragraph 3. Hence, (d)
is the answer.
8. b Refer to the concluding sentence of paragraph 3 and
the opening sentence of paragraph 4 to mark (b) with
confidence. (a) and (c) are not the main concerns. (d)
is an obtuse observation with regard to our question.
9. d All the reasons are cited in the first paragraph itself.
Choice  (a) is mentioned in the 2nd line, (b) in the
second last line, (c) in the last line and (d) is not
mentioned. Instead mass media’s impact is also stated
in the para. This makes choice (d) correct.
10. b The opening lines of the final paragraph are represented
suitably in (b). (a), (c) and (d) are doubtful choices.
11. d (a), (b) and (c) are stated vividly in the second
paragraph, hence (d) is the answer.
12. b The author mentions this aspect in the third and fourth
last lines of the third para. This makes choice (b)
correct.
13. a (a) has been described as revolutionary in the third
paragraph. (b), (c) and (d) are given in the fourth
paragraph as the conservative tendency.
14. c The latter part of the fifth paragraph makes it clear that
(c) is the answer. (a), (b) and (d) are not mentioned.
15. a (a) is stated in the opening lines of the fourth
paragraph. (b), (c) and (d) are thus peripheral
observations.
16. d The first line of the seventh paragraph begins with
considering a “dual trap” and this till the fifth line tells
us about the details of the same. This makes choice
(d) correct.
17. b Refer to the beginning of paragraph 2, paragraph 3
and paragraph 5 to get (b) as the answer.
18. c Refer to the second sentence of paragraph 4 to mark
(c) as the answer.
19. a The third line of the sixth paragraph makes choice (a)
the answer.
20. c The third sentence of the seventh paragraph makes
choice (c) the answer.
21. d Refer to the last sentence of paragraph 6 to mark (d)
as the answer.
22. d Russell Cowburn and Mark Welland are trying to build
the magnetic chip that can store and manipulate infor-
mation. Hence (d) is the answer.
23. b The last lines of the eighth paragraph make choice (b)
correct.
24. a Refer to the second sentence of paragraph 1 to mark
(a) as the answer. (b) is stated in the opening lines of
the passage. The opening lines of the sixth paragraph
confirm (c). The concluding lines of the fourth
paragraph confirm (d).
25. d Choice (a) is incorrect because the author is not talking
about the failure otherwise he’d have looked at
reasons for the failure. Choice (b) is incorrect because
community perspectives are not presented, instead
technology’s impact on the community is mentioned.
Choice (c) is incorrect because the negative effects
of both are present. Choice (d) is the best choice as
the author is providing an analogy.
26. b (b) can be easily inferred from the latter half of the
passage. (a) and (c) are clearly not true. (d) does not
find support in the passage.
27. c (c) is the obvious answer as can be amply inferred
from the last paragraph. (a), (b) and (d) are uncertain
choices.
28. d The introduction of the bereavement counsellor in the
ninth paragraph points towards (d) as the answer.
29. a (b), (c) and (d) can be immediately ruled out. The first
paragraph shows that (a) is the answer.
30. d Refer to the fourth sentence in the sixth paragraph
and the concluding sentence of the passage to get
(a), (b) and (c) as valid choices.
31. a (b) may be right. (c) and (d) are unlikely answers. (a)
is stated in the concluding sentence of the ninth
paragraph.
32. b (a), (c) and (d) are stated overtly in the passage. (b)
is not true as the second innovation did not lead to the
migration of the community.
33. c (c) is the best answer as can be derived from the
concluding lines of paragraph 7 and explained further
in detail in paragraph 8.
34. a The answer is (a) as is explicitly given in paragraph 1.
35. d Refer to the second paragraph third line ‘preserves
from’. The best answer is thus (d).
Page 3
CAT 2000 Actual Paper
36. c The second sentence of the fifth paragraph makes it
clear that (c) is the best answer.
37. a The opening lines of the last paragraph make it clear
that (a) is the answer.
38. b (a), (c) and (d) can be inferred from paragraphs 7 and
8. But it is not mentioned that the conductor can modify
the music, hence (b) is the answer.
39. d Information presented in the last line of paragraph 6
makes choice (d) correct.
40. b (d) is an observation, not the overall idea. (a) and (c)
are also observations. (b) best captures the central
idea of the passage as is evident from the latter half of
the passage.
41. b B has to follow 1 as it exemplifies the principle
mentioned in 1. A continues the explanation of what
happens when light bounces off 2 surfaces. D explains
further and C6 gives the result.
42. d B follows 1 as low light conditions are same as
darkened conditions. DCA discuss the experiment and
6 the happy result.
43. a D follows 1 as ‘this’ in D is in reference to nation state
concept in 1. B follows D by explaining why that
concept is being criticized. A continues with other
reasons and C makes a further addition with “Even
worse....”.  (C-6) also forms a mandatory pair, thereby
making choice (a) correct.
44. c C follows 1 as a logical continuation, the questionable
— suspicion link A logically follows C by comparing
position in humanities. B and D give reasons for
distortions in humanities. (D-6) is a mandatory pair
since ‘D —  mentions “Can be defended” and 6 mentions
....“... no such defences”. This makes choice (c)
correct.
45. c A gives the reason why communists despised horses
in 1. What they preferred instead is given in B.
C makes allowances and D6 presents the alternate
view.
46. b Future is what the company also needs to keep in
mind when selling popular contemporary art. (a) and
(c) are wrong because we need not keep an eye on
the present, it’s already here. Remember that we have
the word ‘though’ in the sentence and hence, the words
must contrast ‘future-popular (now)’.
47. d Choice (b) is ruled out since the government cannot
make money in this case. Choices (a) and (c) are
ruled out since they introduce ‘rich’ into the context. In
the scenario presented in the sentence, it’s obvious
that (d) is the best choice since touts (middlemen who
are illegal/without proper authority). This makes (d)
correct.
48. a Choice (c) is ruled out as ‘make out’ is a rather informal
usage. ‘Let alone’ means what will follow will be a
stronger/more concrete expression than
‘reconciliation’. In this case, decide is a better opinion
than understand and choice (a) is correct.
49. c ‘Depressing times of spiraling prices’ and ‘soaring crime
rates’ fits in best. (b) is out, because ‘booming’ and
‘crime rates’ don’t go well together. ‘spiralling’ prices
are prices that rise out of order. Crime rates cannot
‘debilitate’, and ‘soaring’ matches the depressing tone
of ‘spiralling’.
50. d Choice (a) is ruled out as ‘style’ and ‘manners’ are
similar. Choice (c) is ruled out as nouveau riche means
‘new rich’. ‘Manners and Morals’ is a phrase and goes
well. Choice (b) is incorrect as a ‘recurrent story in
literature’ is incorrect. A recurrent theme which means
many works which are similar in that they have this
theme makes sense. This makes choice (d) correct.
51. a EC is the mandatory pair, as ‘those’ in C refers to male
children in E. B opens the paragraph as it introduces
‘Bellicose spartans’. ‘military training’ in C is described
in D and A.
52. c B opens the paragraph by introducing the motion of
‘human being drawing images in cave’. C introduces
the new means of image making, i.e. photography.
The inventory in D refers to the images in C. ‘everything
has been photographed’ in D should be followed by
‘insatiability’ in A. ‘confinement’ in A is then followed by
‘enlarge our notions’ in E.
53. a AE is a mandatory pair because ‘breadth of information’
mentioned in E is in reference to ‘basic information’ in
A.  ‘extending over’ in E should be followed by
‘confined’ in C as a contrast. B follows with ‘nor’ —
the same concept. D gives the ‘contrary’ view in B.
54. b C introduces the paragraph with the concept of social
cost of theft. ‘Both parties’ in A refer to ‘thief and
victim’ in C. B describes simple property rights. DE
describes escalating costs and methods.
55. d DB is a mandatory pair as B is an example of what is
being stated in D. A — ‘likelihood of an accident’ follows
B — ‘accident’. C describes the outcome.
56. c 99 × D = a
1
a
2
. Thus, 
12
aa
D= .
99
Hence, D must be
multiplied by 198 as 198 is a multiple of 99.
57. b The data is not linear. So check (b).
Let the equation be y = a + bx +  cx
2
.
Putting the values of x and y, we get the following
result.
? 4 = a + b + c, 8 = a + 2b + 4c and 14 = a + 3b + 9c.
Solving these, we get a = 2, b = 1 and c = 1.
So the equation is y = 2 + x + x
2
.
58. d a
1
 = 1, a
2
 = 7, a
3
 = 19, a
4
 = 43.
The difference between successive terms is in series
6, 12, 24, 48, ..., i.e. they are in GP. Hence,
()
()
99
n
99
100 1
2 – 1
r – 1
aa a 16 62 – 5
r –12 – 1
??
=+ =+ = × ??
??
??
Page 4 CAT 2000 Actual Paper
59. c
11 1 1
...
1.3 3.5 5.7 19.21
++++
11 111 111 11 1
1––– ... –
23 235 257 219 21
? ? ?? ?? ? ?
= +++
? ? ?? ?? ? ?
? ? ?? ?? ? ?
() 21– 1 1 1 20 10
–
242 42 42 21
== ==
60. c The vehicle travels 19.5 km/L at the rate of 50 km/hr.
So it should travel 
19.5
1.3
 km/L at the rate of 70 km/hr
= 15 km/L.
The distance covered at 70 km/hr with 10 L  = 10 × 15
                   = 150 km
61. b Use any 7 consecutive numbers to check the
answers.
() 12 3 4 5
n3
5
+++ +
==
, average of 7 integers is
() 12 3 4 5 6 7
k4
7
+++ + + +
== .
So k = n + 1.
Alternate Solution: The average of the first 5 terms
is the middle term which is third term, and the average
of the first 7 terms is the middle term which is the
fourth term. Hence, it is one more than the previous
average.
62. b Use choices. The answer is (b), because –x < –2 and
–2 < 2y ? –x < 2y.
63. a The possibilities are  W@W@W@ or @W@W@W,
where 2 blue and 1 red flag occupy the space marked
as @. Hence, the total permutation is 
3!
2
2!
×
 = 6.
64. d There are 33 numbers between 100 and 200 which
are divisible by 3.
Out of these, 17 are even and 16 are odd.
There are 5 numbers between 100 and 200 which
are divisible by 21 (LCM of 3 and 7).
Out of these, 3 are odd.
Hence, the number of odd numbers divisible by 3, but
not by 7 is (16 – 3) = 13.
65. d Take any three odd and positive integers and check all
the options.
66. a There is only one 5 and one 2 in the set of prime
numbers between 2 and 100. Hence, there would be
only one zero at the end of the resultant product.
67. c If the sides of the triangle are a, b and c, then
a + b > c. Given a + b + c = 14.
Then the sides can be (4, 4, 6), (5, 5, 4), (6, 5, 3) and
(6, 6, 2). Hence, four distinct triangles are possible.
68. c N = 1421 × 1423 × 1425. When divided by 12, it shall
look like 
()()() 1416 5 1416 7 1416 9
.
12
?? +× +× +
??
Now the remainder will be governed by the term
5 × 7 × 9, which when divided by 12 leaves the
remainder 3.
69. d Let r be the remainder. Then, 34041 – r and 32506 – r
are perfectly divisible by n. Hence, their difference
should also be divisible by the same number.
? (34041 – r) – (32506 – r) = 1535, which is divisible
by only 307.
70. a Each term has to be either 1 or –1.
Hence, if the sum of n such terms is 0, then n is even.
71. b T otal 400 million is for 64.75% of the population. Hence,
total population is 617.76 million. Let females be F and
males be M. Then 
F
0.96
M
=
 (in the class below 15).
Total population in the range is approximately 185.32
million. Hence, number of females is 90.8 million.
72. c There are two possible cases. The number 9 comes
at the end, or it comes at position 4, 5, or 6.
For the first case, the number would look like:
635 - - - 9 or 674 - - - 9
In both these cases, the blanks can be occupied by
any of the available 9 digits (0, 1, 2, ..., 8).
Thus, total possible numbers would be
2 × (9 × 9 × 9) = 1458. 
For the second case, the number 9 can occupy any of
the given position 4, 5, or 6, and there shall be an odd
number at position 7. Thus, the total number of ways
shall be 2[3(9 × 9 × 4)] = 1944. Hence, answer is
3402.  
73. a A + B =
AB
2
2
+ ??
×
??
??
= @(A, B) × 2 = /(@(A, B), 2)
74. d Use choices. Put some values and check the
consistency.
75. d Use choices. (a), (b) and (c) could be both negative
as well as positive, depending on the values
of x and y.
76. a For (a), x, y < – 1. Then value of f(x, y)
= (x + y)
2 
and value of g(x, y) = – (x + y).
Substituting any value of x, y < – 1, we get
f(x, y) always greater than g(x, y).
77. d Use choices. For the given set of questions, function
j(x, y, z), n(x, y, z) means minimum of x, y, z and
h(x, y, z), m(x, y, z) means maximum of x, y, z.
f(x, y, z), g(x, y, z) means the middle value.
78. a Use choices.
79. b The answer is (b) because the denominator becomes
zero.
80. a The robot begins to give material  to machine A and
then to D, it thus covers 40 m in that time span and
takes 4 s. Also then it returns to the origin, and takes 4
s, while covering 40 m again. When it arrives at the
origin, the messages of B and C are already there,
thus it moves to give the material to them, which takes
it in total 6 s, and it covers 30 + 30 = 60 m in total.
Hence, the distance travelled by the robot will be 40 m
+ 40 m + 60 m = 140 m.
Page 5


Page 1
CAT 2000 Actual Paper
1 b 21 d 41 b 61 b 81 a 101 a 121 a 141 a 161 b
2 a 22 d 42 d 62 b 82 c 102 d 122 c 142 b 162 a
3 c 23 b 43 a 63 a 83 d 103 b 123 b 143 b 163 c
4 d 24 a 44 c 64 d 84 b 104 a 124 c 144 c 164 a
5 a 25 d 45 c 65 d 85 b 105 b 125 b 145 d 165 a
6 c 26 b 46 b 66 a 86 c 106 a 126 b 146 a
7 d 27 c 47 d 67 c 87 c 107 b 127 a 147 d
8 b 28 d 48 a 68 c 88 b 108 c 128 c 148 d
9 d 29 a 49 c 69 d 89 c 109 d 129 d 149 c
10 b 30 d 50 d 70 a 90 b 110 d 130 d 150 a
11 d 31 a 51 a 71 b 91 * 111 c 131 c 151 d
12 b 32 b 52 c 72 c 92 c 112 b 132 a 152 b
13 a 33 c 53 a 73 a 93 c 113 d 133 c 153 d
14 c 34 a 54 b 74 d 94 d 114 c 134 c 154 c
15 a 35 d 55 d 75 d 95 b 115 b 135 a 155 d
16 d 36 c 56 c 76 a 96 a 116 a 136 c 156 a
17 b 37 a 57 b 77 d 97 c 117 d 137 d 157 b
18 c 38 b 58 d 78 a 98 d 118 b 138 b 158 a
19 a 39 d 59 c 79 b 99 b 119 d 139 d 159 b
20 c 40 b 60 c 80 a 100 b 120 c 140 d 160 c
EU + RC       1 to 55     55
QA       56 to 110     55
CR + DI + DS + AR   111 to 165     55
Total                          165
T otal
questions
T otal
attempted
T otal
correct
T otal
wrong
Net
Score
 Time
T aken
Question
number

	






Page 2 CAT 2000 Actual Paper
1. b The second paragraph clearly makes choice (b)
correct.
2. a (a) is given in the opening lines of the fifth paragraph.
(b), (c) and (d) are imprecise interpretations.
3. c Choices (b) and (d) are general observations. Choice
(c) is also explicitly stated in the 3rd  line of the fourth
paragraph.
4. d Refer to the end of paragraph 2, where both the
problem and the concern have been addressed. (a),
(b) and (c) sound far-fetched in this regard.
5. a (b), (c) and (d) are clearly given in paragraph 2.
‘reduced biodiversity’ suggests that (a) is the answer.
6. c The essence of paragraph 1 is captured in (c).
Thus, (a), (b) and (d) are irrelevant.
7. d (a), (b) and (c) are outlined in paragraph 3. Hence, (d)
is the answer.
8. b Refer to the concluding sentence of paragraph 3 and
the opening sentence of paragraph 4 to mark (b) with
confidence. (a) and (c) are not the main concerns. (d)
is an obtuse observation with regard to our question.
9. d All the reasons are cited in the first paragraph itself.
Choice  (a) is mentioned in the 2nd line, (b) in the
second last line, (c) in the last line and (d) is not
mentioned. Instead mass media’s impact is also stated
in the para. This makes choice (d) correct.
10. b The opening lines of the final paragraph are represented
suitably in (b). (a), (c) and (d) are doubtful choices.
11. d (a), (b) and (c) are stated vividly in the second
paragraph, hence (d) is the answer.
12. b The author mentions this aspect in the third and fourth
last lines of the third para. This makes choice (b)
correct.
13. a (a) has been described as revolutionary in the third
paragraph. (b), (c) and (d) are given in the fourth
paragraph as the conservative tendency.
14. c The latter part of the fifth paragraph makes it clear that
(c) is the answer. (a), (b) and (d) are not mentioned.
15. a (a) is stated in the opening lines of the fourth
paragraph. (b), (c) and (d) are thus peripheral
observations.
16. d The first line of the seventh paragraph begins with
considering a “dual trap” and this till the fifth line tells
us about the details of the same. This makes choice
(d) correct.
17. b Refer to the beginning of paragraph 2, paragraph 3
and paragraph 5 to get (b) as the answer.
18. c Refer to the second sentence of paragraph 4 to mark
(c) as the answer.
19. a The third line of the sixth paragraph makes choice (a)
the answer.
20. c The third sentence of the seventh paragraph makes
choice (c) the answer.
21. d Refer to the last sentence of paragraph 6 to mark (d)
as the answer.
22. d Russell Cowburn and Mark Welland are trying to build
the magnetic chip that can store and manipulate infor-
mation. Hence (d) is the answer.
23. b The last lines of the eighth paragraph make choice (b)
correct.
24. a Refer to the second sentence of paragraph 1 to mark
(a) as the answer. (b) is stated in the opening lines of
the passage. The opening lines of the sixth paragraph
confirm (c). The concluding lines of the fourth
paragraph confirm (d).
25. d Choice (a) is incorrect because the author is not talking
about the failure otherwise he’d have looked at
reasons for the failure. Choice (b) is incorrect because
community perspectives are not presented, instead
technology’s impact on the community is mentioned.
Choice (c) is incorrect because the negative effects
of both are present. Choice (d) is the best choice as
the author is providing an analogy.
26. b (b) can be easily inferred from the latter half of the
passage. (a) and (c) are clearly not true. (d) does not
find support in the passage.
27. c (c) is the obvious answer as can be amply inferred
from the last paragraph. (a), (b) and (d) are uncertain
choices.
28. d The introduction of the bereavement counsellor in the
ninth paragraph points towards (d) as the answer.
29. a (b), (c) and (d) can be immediately ruled out. The first
paragraph shows that (a) is the answer.
30. d Refer to the fourth sentence in the sixth paragraph
and the concluding sentence of the passage to get
(a), (b) and (c) as valid choices.
31. a (b) may be right. (c) and (d) are unlikely answers. (a)
is stated in the concluding sentence of the ninth
paragraph.
32. b (a), (c) and (d) are stated overtly in the passage. (b)
is not true as the second innovation did not lead to the
migration of the community.
33. c (c) is the best answer as can be derived from the
concluding lines of paragraph 7 and explained further
in detail in paragraph 8.
34. a The answer is (a) as is explicitly given in paragraph 1.
35. d Refer to the second paragraph third line ‘preserves
from’. The best answer is thus (d).
Page 3
CAT 2000 Actual Paper
36. c The second sentence of the fifth paragraph makes it
clear that (c) is the best answer.
37. a The opening lines of the last paragraph make it clear
that (a) is the answer.
38. b (a), (c) and (d) can be inferred from paragraphs 7 and
8. But it is not mentioned that the conductor can modify
the music, hence (b) is the answer.
39. d Information presented in the last line of paragraph 6
makes choice (d) correct.
40. b (d) is an observation, not the overall idea. (a) and (c)
are also observations. (b) best captures the central
idea of the passage as is evident from the latter half of
the passage.
41. b B has to follow 1 as it exemplifies the principle
mentioned in 1. A continues the explanation of what
happens when light bounces off 2 surfaces. D explains
further and C6 gives the result.
42. d B follows 1 as low light conditions are same as
darkened conditions. DCA discuss the experiment and
6 the happy result.
43. a D follows 1 as ‘this’ in D is in reference to nation state
concept in 1. B follows D by explaining why that
concept is being criticized. A continues with other
reasons and C makes a further addition with “Even
worse....”.  (C-6) also forms a mandatory pair, thereby
making choice (a) correct.
44. c C follows 1 as a logical continuation, the questionable
— suspicion link A logically follows C by comparing
position in humanities. B and D give reasons for
distortions in humanities. (D-6) is a mandatory pair
since ‘D —  mentions “Can be defended” and 6 mentions
....“... no such defences”. This makes choice (c)
correct.
45. c A gives the reason why communists despised horses
in 1. What they preferred instead is given in B.
C makes allowances and D6 presents the alternate
view.
46. b Future is what the company also needs to keep in
mind when selling popular contemporary art. (a) and
(c) are wrong because we need not keep an eye on
the present, it’s already here. Remember that we have
the word ‘though’ in the sentence and hence, the words
must contrast ‘future-popular (now)’.
47. d Choice (b) is ruled out since the government cannot
make money in this case. Choices (a) and (c) are
ruled out since they introduce ‘rich’ into the context. In
the scenario presented in the sentence, it’s obvious
that (d) is the best choice since touts (middlemen who
are illegal/without proper authority). This makes (d)
correct.
48. a Choice (c) is ruled out as ‘make out’ is a rather informal
usage. ‘Let alone’ means what will follow will be a
stronger/more concrete expression than
‘reconciliation’. In this case, decide is a better opinion
than understand and choice (a) is correct.
49. c ‘Depressing times of spiraling prices’ and ‘soaring crime
rates’ fits in best. (b) is out, because ‘booming’ and
‘crime rates’ don’t go well together. ‘spiralling’ prices
are prices that rise out of order. Crime rates cannot
‘debilitate’, and ‘soaring’ matches the depressing tone
of ‘spiralling’.
50. d Choice (a) is ruled out as ‘style’ and ‘manners’ are
similar. Choice (c) is ruled out as nouveau riche means
‘new rich’. ‘Manners and Morals’ is a phrase and goes
well. Choice (b) is incorrect as a ‘recurrent story in
literature’ is incorrect. A recurrent theme which means
many works which are similar in that they have this
theme makes sense. This makes choice (d) correct.
51. a EC is the mandatory pair, as ‘those’ in C refers to male
children in E. B opens the paragraph as it introduces
‘Bellicose spartans’. ‘military training’ in C is described
in D and A.
52. c B opens the paragraph by introducing the motion of
‘human being drawing images in cave’. C introduces
the new means of image making, i.e. photography.
The inventory in D refers to the images in C. ‘everything
has been photographed’ in D should be followed by
‘insatiability’ in A. ‘confinement’ in A is then followed by
‘enlarge our notions’ in E.
53. a AE is a mandatory pair because ‘breadth of information’
mentioned in E is in reference to ‘basic information’ in
A.  ‘extending over’ in E should be followed by
‘confined’ in C as a contrast. B follows with ‘nor’ —
the same concept. D gives the ‘contrary’ view in B.
54. b C introduces the paragraph with the concept of social
cost of theft. ‘Both parties’ in A refer to ‘thief and
victim’ in C. B describes simple property rights. DE
describes escalating costs and methods.
55. d DB is a mandatory pair as B is an example of what is
being stated in D. A — ‘likelihood of an accident’ follows
B — ‘accident’. C describes the outcome.
56. c 99 × D = a
1
a
2
. Thus, 
12
aa
D= .
99
Hence, D must be
multiplied by 198 as 198 is a multiple of 99.
57. b The data is not linear. So check (b).
Let the equation be y = a + bx +  cx
2
.
Putting the values of x and y, we get the following
result.
? 4 = a + b + c, 8 = a + 2b + 4c and 14 = a + 3b + 9c.
Solving these, we get a = 2, b = 1 and c = 1.
So the equation is y = 2 + x + x
2
.
58. d a
1
 = 1, a
2
 = 7, a
3
 = 19, a
4
 = 43.
The difference between successive terms is in series
6, 12, 24, 48, ..., i.e. they are in GP. Hence,
()
()
99
n
99
100 1
2 – 1
r – 1
aa a 16 62 – 5
r –12 – 1
??
=+ =+ = × ??
??
??
Page 4 CAT 2000 Actual Paper
59. c
11 1 1
...
1.3 3.5 5.7 19.21
++++
11 111 111 11 1
1––– ... –
23 235 257 219 21
? ? ?? ?? ? ?
= +++
? ? ?? ?? ? ?
? ? ?? ?? ? ?
() 21– 1 1 1 20 10
–
242 42 42 21
== ==
60. c The vehicle travels 19.5 km/L at the rate of 50 km/hr.
So it should travel 
19.5
1.3
 km/L at the rate of 70 km/hr
= 15 km/L.
The distance covered at 70 km/hr with 10 L  = 10 × 15
                   = 150 km
61. b Use any 7 consecutive numbers to check the
answers.
() 12 3 4 5
n3
5
+++ +
==
, average of 7 integers is
() 12 3 4 5 6 7
k4
7
+++ + + +
== .
So k = n + 1.
Alternate Solution: The average of the first 5 terms
is the middle term which is third term, and the average
of the first 7 terms is the middle term which is the
fourth term. Hence, it is one more than the previous
average.
62. b Use choices. The answer is (b), because –x < –2 and
–2 < 2y ? –x < 2y.
63. a The possibilities are  W@W@W@ or @W@W@W,
where 2 blue and 1 red flag occupy the space marked
as @. Hence, the total permutation is 
3!
2
2!
×
 = 6.
64. d There are 33 numbers between 100 and 200 which
are divisible by 3.
Out of these, 17 are even and 16 are odd.
There are 5 numbers between 100 and 200 which
are divisible by 21 (LCM of 3 and 7).
Out of these, 3 are odd.
Hence, the number of odd numbers divisible by 3, but
not by 7 is (16 – 3) = 13.
65. d Take any three odd and positive integers and check all
the options.
66. a There is only one 5 and one 2 in the set of prime
numbers between 2 and 100. Hence, there would be
only one zero at the end of the resultant product.
67. c If the sides of the triangle are a, b and c, then
a + b > c. Given a + b + c = 14.
Then the sides can be (4, 4, 6), (5, 5, 4), (6, 5, 3) and
(6, 6, 2). Hence, four distinct triangles are possible.
68. c N = 1421 × 1423 × 1425. When divided by 12, it shall
look like 
()()() 1416 5 1416 7 1416 9
.
12
?? +× +× +
??
Now the remainder will be governed by the term
5 × 7 × 9, which when divided by 12 leaves the
remainder 3.
69. d Let r be the remainder. Then, 34041 – r and 32506 – r
are perfectly divisible by n. Hence, their difference
should also be divisible by the same number.
? (34041 – r) – (32506 – r) = 1535, which is divisible
by only 307.
70. a Each term has to be either 1 or –1.
Hence, if the sum of n such terms is 0, then n is even.
71. b T otal 400 million is for 64.75% of the population. Hence,
total population is 617.76 million. Let females be F and
males be M. Then 
F
0.96
M
=
 (in the class below 15).
Total population in the range is approximately 185.32
million. Hence, number of females is 90.8 million.
72. c There are two possible cases. The number 9 comes
at the end, or it comes at position 4, 5, or 6.
For the first case, the number would look like:
635 - - - 9 or 674 - - - 9
In both these cases, the blanks can be occupied by
any of the available 9 digits (0, 1, 2, ..., 8).
Thus, total possible numbers would be
2 × (9 × 9 × 9) = 1458. 
For the second case, the number 9 can occupy any of
the given position 4, 5, or 6, and there shall be an odd
number at position 7. Thus, the total number of ways
shall be 2[3(9 × 9 × 4)] = 1944. Hence, answer is
3402.  
73. a A + B =
AB
2
2
+ ??
×
??
??
= @(A, B) × 2 = /(@(A, B), 2)
74. d Use choices. Put some values and check the
consistency.
75. d Use choices. (a), (b) and (c) could be both negative
as well as positive, depending on the values
of x and y.
76. a For (a), x, y < – 1. Then value of f(x, y)
= (x + y)
2 
and value of g(x, y) = – (x + y).
Substituting any value of x, y < – 1, we get
f(x, y) always greater than g(x, y).
77. d Use choices. For the given set of questions, function
j(x, y, z), n(x, y, z) means minimum of x, y, z and
h(x, y, z), m(x, y, z) means maximum of x, y, z.
f(x, y, z), g(x, y, z) means the middle value.
78. a Use choices.
79. b The answer is (b) because the denominator becomes
zero.
80. a The robot begins to give material  to machine A and
then to D, it thus covers 40 m in that time span and
takes 4 s. Also then it returns to the origin, and takes 4
s, while covering 40 m again. When it arrives at the
origin, the messages of B and C are already there,
thus it moves to give the material to them, which takes
it in total 6 s, and it covers 30 + 30 = 60 m in total.
Hence, the distance travelled by the robot will be 40 m
+ 40 m + 60 m = 140 m.
Page 5
CAT 2000 Actual Paper
81. a In this question, once the robot has delivered the
material to machines A and D, it shall reach the origin
2 (nearest), taking 6 s, and covering 60 m. Then it
immediately moves to deliver material to machines C
and B covering a distance of 40 m and finally back to
the origin (nearest). Thus, it cover a distance of 60 m.
Hence, it covers a total distance of 120 m.
For questions 82 to 84:
In graphs, the horizontal line x represents the values of x and
the vertical line represents y, where y = f(x). For different
values of x, we get the corresponding values of f(x).
82. c From the graph, x = 2
? f(2) = 1 and x = –2 ? f(–2) = 1
Thus, f(2) = f(–2). Hence, f(x) = f(–x)
83. d From the graph, x = 1 ? f(1) = 2 and x = –1
? f(–1) = 1
Thus, f(1) = 2f(–1)
Hence, 3f(x) = 6f(–x)
84. b From the graph, x = 4
? f(4) = –2 and x = –4 ? f(–4) = 2
Thus, f(4) = –f(–4)
Hence, f(x) = –f(–x)
85. b The initial water in bottles A, B and C are 5 L, 0 L and
0 L respectively.
First instruction. FILL (C, A) means that 2 litres is
transferred from A to C (leaving 3 litres A, and C is full)
Third instruction FILL (C, A) again means some water
is transferred from A to C.
After the third instruction, 1 litre of water is left in
bottle A.
Option (a) is not possible because if it were executed,
there would not be any water left in A for executing
the third instruction of FILL(C,A).
Option (b) is possible because C is emptied out and
when third instruction is followed, of the 3 litres left in
A (at the end of first instruction), two litres are
transferred to C leaving only 1 litre in A.
Option (c) can be eliminated because, there was no
water in B.
Option (d) is not possible because had it been
executed, there would not be any water left in A for
executing the third instruction.
86. c The first four instructions are:
1
st
 : FILL (C, A)
2
nd
 
: EMPTY (C, B)
3
rd
 
: FILL (C, A)
4
th
 : DRAIN (A)
Fourth instruction drains off 1 liter from A and the
quantities with A, B and C at the end of 3
rd
 instruction
is 1 L, 2 L and 2 L respectively.
Amount of water in the system after 4
th
 instruction = 5
– 1 = 4 L
If at the end of the 6
th
 instruction, all the 4 L are in A,
then B and C will definitely be empty.
87. c
23 4 5
13 4 7 11
f(2) ,f (2) ,f (2) ,f (2) ,f (2)
34 7 11 18
== = = =
?f(2) f
2
(2) f
3
(2) f
4
(2) f
5
(2) 
1
.
18
=
88. b f
1
 (–2) = –1
f
2
 (–2) = 0
f
3
 (–2) = 
1
1
? f
1
(–2) + f
2
(–2) + f
3
(–2) = –1 + 0 + 1 = 0.
89. c There shall be 8 teams in each group. Each team in a
group shall be playing with every other team. Hence,
total number of matches shall be 
() 78
28
2
×
= in one
group. Hence, in both the groups, there shall be 56
matches. This is for the first stage. Thereafter, there
are 8 teams in knockout rounds from which one
winner emerges, or 7 losers are identified.
Hence, 7 more matches, i.e. in all 63 matches.
90. b In the first stage, there are 28 matches to be played
by each group of 8 teams and eventually 4 from each
group moved into second stage.
7 teams can win 4 matches each. Then, three of them
will be eliminated on the basis of tiebreak rules. This
doesn’t assure any team a place in the second stage.
5 teams can win 5 matches each and there can be 3
more matches won by the remaining teams. Then,
one of the teams winning 5 matches will be eliminated
on the basis of tiebreak rules. This also doesn’t as-
sure any team a place in the second stage.
4 teams can win 6 matches and there can be 4
matches won by the remaining teams. This will guar-
antee a place for each team winning 6 matches a
place in the second round.
91. * In order to maximize the number of wins of a team
which would be eliminated at the end of first stage,
we minimize the number of wins in the bottom 3 teams.
The bottom 3 teams will play 
3
2
C3 = matches among
themselves (i.e. there will be 3 wins). So the remain-
ing wins (28 – 3) = 25 must be divided among top 5
teams, such that the 5
th
 ranked team wins the maxi-
mum and yet fail to qualify for the second round. This
is possible if each of the top 5 teams win an equal
number of matches, i.e. 
25
5
5
=
. Hence, the 5
th
 ranked
team can win a maximum of 5 matches and would get
eliminated at the end of first stage on the basis of
tiebreak rules.
* Note: The answer given in the answer key of ‘CAT
2001 Bulletin’ is incorrect. Ideal answer should be 5
wins.
92. c There are 8 teams. Hence, there would be 7 matches
in 3 rounds.
93. c Statement 1 is false. Consider a case where the points
scored by the top three teams were 7, 6 and 5. Rest
of the 10 points were distributed equally among the
remaining five teams with 2 points to each. Any one
of these five teams could have won the tournament
with total of 5 wins.
Statement 2 is false, as only the top four teams were
advanced to the stage II.
Statement 3 is true. Consider a case where five
different teams of the same group got 5 points each.