national talent search examination (ntse-2020-21) stage -1
TRANSCRIPT
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Time : 120 mins Max. Marks : 100
Direction : In question nos. 1 to 12 there is missing number shown
by question mark (?). This term is one of the four alternatives given
below the questions. Choose the correct alternative.
1. 5, 6, 10, 19, 35, ?
(A) 55 (B) 60
(C) 51 (D) 71
Ans. (B)
Sol.
2. 6, 13, 29, 63, ?
(A) 126 (B) 113
(C) 128 (D) 133
Ans. (D)
Sol.
3. 4, 8, 16, 32, 64, 128, ?
(A) 256 (B) 228
(C) 512 (D) 192
Ans. (A)
Sol.
4. 3, 5, 9, 17, 33, 65, ?
(A) 130 (B) 98
National Talent Search Examination
(NTSE-2020-21) Stage -1
State: Madhya Pradesh ( MAT)
2
(C) 129 (D) 132
Ans. (C)
Sol.
5. 3, 6, 11, 18, 27, ?
(1) 48 (2) 38
(3) 36 (4) 56
Ans. (B)
Sol.
6. 2, 4, 12, 48, 240, ?
(A) 1440 (B) 1200
(C) 480 (D) 960
Ans. (A)
Sol.
7. 15, 18, 111, 114, 117, ?
(A) 125 (B) 123
(C) 121 (D) 120
Ans. (D)
Sol.
8. 33, 44, 35, ? , 37, 46, 39, 47....
(A) 36 (B) 47
(C) 45 (D) 48
Ans. (C)
Sol.
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9. 41, 42, 50, 77, 141, ?
(A) 248 (B) 266
(C) 423 (D) 218
Ans. (B)
Sol.
10. 4, 6, 10, 16, 24, ?
(A) 30 (B) 40
(C) 36 (D) 34
Ans. (D)
Sol.
11. B, D, G, I, ? , N ......
(A) L (B) M
(C) K (D) J
Ans. (A)
Sol.
12. A, CD, GHI, ?, UVWXY
(A) NOPQ (B) MNO
(C) MNOP (D) NOPQ
Ans. (C)
Sol.
Directions : In question nos. 13 to 22 there is a certain relationship
between two given words on left side of : : symbol and one word is
given on right hand side of :: and a question mark. Choose the
correct alternative from options which shows the same relationship
between these pairs of words as between the pair of words given on
left hand side of :: symbol.
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13. Film : Producer :: Book : ?
(A) Director (B) Publisher
(C) Editor (D) Writer
Ans. (B)
Sol. 3 Here, the production of the first is done by second.
14. Clock : Time :: Thermometer : ?
(A) Heat (B) Radiation
(C) Energy (D) Temperature
Ans. (D)
Sol. Clock is a device to see or measure time. Similarly, temperature
is measured by thermometer.
15. Ink : Pen :: Blood : ?
(A) Vein (B) Donation
(C) Accident (D) Doctor
Ans. (A)
Sol. First moves in the second by capillary action. OR Pen is filled with
ink similarly vein is filled with blood.
16. Ship : Captain : : Aeroplane : ?
(1) Air-hostess (2) Runway
(3) Pilot (4) Airport
Ans. (C)
Sol. Analogy : People and their job profile. Pilot flies the aeroplane
and captain sails the ship.
17. Bat : Ball :: Badminton : ?
(A) Ball (B) Table
(C) Court (D) Shuttle-cock
Ans. (D)
Sol. Bat and ball are related to the same game, similarly, badminton
and shuttle-cock are related to the same game.
18. Mass : Kilogram :: Length : ?
(A) Volt (B) Kelvin
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(C) Meter (D) Ampere
Ans. (C)
Sol. Kilogram is the unit of mass. Similarly meter is the unit of length.
19. Country : President :: State : ?
(A) Chief Minister (B) Governor
(C) Primer Minister (D) Mayor
Ans. (B)
Sol. The president is the highest officer in the country. Similarly,
governor is the highest officer of the state.
20. Day : Night :: Positive : ?
(A) Negative (B) Sun
(C) Moon (D) Number
Ans. (A)
Sol. Opposite of day is night. Similarly opposite of positive is negative.
21. BPR : DRT :: DMP : ?
(A) ENP (B) EOP
(C) FOR (D) FNQ
Ans. (C)
Sol.
22. CLP : DOR : : JPT : ?
(A) KQU (B) IMS
(C) LQV (D) KSV
Ans. (D)
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Sol.
23. Bread is related to wheat in the same way as Brick is related to
_________.
(A) Fire (B) Clay
(C) 243, 7 (D) Cement
Ans. (B)
Sol. Wheat is used to make the Bread, thn clay is used to make the
Brick.
24. Accident is related to carefulness in the same way as Disease is related
to ______.
(A) Treatment (B) Medicine
(C) Absence of Sanitaton (D) Doctor
Ans. (C)
Sol. Absence of carefulness causes accident and in the same way
absence of sanitation causes diseases.
25. Choose the odd one out from following.
(1) Sun (2) Mars
(3) Earth (4) Star
Ans. (D)
Sol. In the universe, these are many stars but sun, mars and earth
are unique.
26. Choose the odd one out from following.
(A) Tomato (B) Mango
(C) Banana (D) Apple
Ans. (C)
Sol. Banana has no seeds and remaining all contain seeds.
27. Choose the odd one out from following.
(1) Teacher (2) Office
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(3) Student (4) Class
Ans. (B)
Sol. Teacher, student and class are particular terms related to
school but office is the general term.
28. Find the odd term.
(A) 27 (B) 25
(C) 16 (D) 9
Ans. (A)
Sol. 25, 16 and 9 are perfect squares but 27 is not the perfect square.
29. Find the odd one out.
(A) Solid (B) Liquid
(C) Gas (D) Water
Ans. (D)
Sol. Solid, liquid and gas are states of matter but water is not.
30. Choose the odd one out.
(A) Ear (B) Eye
(C) Nose (D) Throat
Ans. (D)
Sol. Ear, eye and nose are sense organs but throat is not.
31. In a language, POPULAR is coded as ONOTKZQ which word would be
coded as GBNPVT ?
(A) FAMOSU (B) FAMOUS
(C) FASOUM (D) FOSAUM
Ans. (BONUS)
Sol.
But, the answer is not in the option.
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32. In a certain code SIKKIN is written as THLJJL, how is TRAINING written
in that code ?
(A) SQBHOHOH (B) UQBJOHHO
(C) UQBHOHOF (D) UQBJOHOH
Ans. (C)
Sol.
33. If Z = 52, and ACT = 48, then TAB will be equal to –
(A) 46 (B) 44
(C) 41 (D) 39
Ans. (A)
Sol. Z = 26 26 2 = 52
ACT = 1 + 3 + 20 = 24 24 × 2 = 48
Now, TAB = 20 + 1 + 2 = 23 23 × 2= 46
34. In a certain language CHAMPION is coded as HCMAIPNO, how is
POSITIVE coded in that language ?
(A) OPISITEV (B) POISITEV
(C) OPSIITEV (D) OPISTIVE
Ans. (A)
In the code, every two letters are reversed in arrangement. Hence
POSITIVE will become OPISITEV
35. If air is called ‘blue’, ‘blue’ is called ‘sky’, ‘sky’ is called ‘yellow’, ‘yellow’
is called ‘water’ and ‘water’ is called ‘pink’,. then what is the colour of
‘clear sky’ ?
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(A) Blue (B) Yellow
(C) Pink (D) Sky
Ans. (D)
Sol. Since, the colour of ‘clear sky’ is BLUE and in the question BLUE
is called SKY.
36. Introducing a person to her husband, a woman said “his brother’s
father is the only son of my grandfather”. How is the woman related
to this person ?
(A) Mother (B) Sister
(C) Daughter (D) Aunt
Ans. (B)
Sol.
Directions : (Question 37 and 38)
(i) A + B means A is the son of B;
(ii) A - B means A is the wife of B;
(iii) A × B means A is the brother of B;
(iv) A B means A is the mother of B;
(v) A = B means A is the sister of B;
37. What does P + R - Q means ?
(1) Q is the son of P (2) Q is the brother of P
(3) Q is the father of P (4) Q is the uncle of P
Ans. (C)
Sol.
From family tree, ‘Q is the father of P’.
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38. What does P = R + Q means ?
(A) P is the daughter of Q (B) P is the aunt of Q
(C) P is the niece of Q (D) P is the sister of Q
Ans. (A)
Sol.
P is the daughter of Q.
39. Six students A, B, C, D, E and F are sitting in the field. A and B are
from Gwalior, while the rest are from Bhopal. D and F are tall while
others are short. A, C and D are girls while others are boys. Which is
the tall girl from Bhopal?
(A) C (B) D
(C) E (D) F
Ans. (B)
Sol.
40. Nitin ranks fifteen in a class of 39. What is his rank from the last ?
(1) 23 (2) 24
(3) 25 (4) 26
Ans. (C)
Sol. Since Nitin ranks fifteen in a class of 39
From bottom, Nitin ranks 39 – 14 = 25
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Direction : Study the following number sequence and answer the
Questions Nos. from 41 to 43.
41. How many pairs of successive numbers having difference of 2 ?
(A) Five (B) Six
(C) Seven (D) Eight
Ans. (C)
Sol.
42. Figures which have frequency equal to 2 are from following
(A) 1, 2, 3 (B) 2, 4, 7
(C) 4, 5, 6 (D) 5, 6, 8
Ans. (D)
Sol. 5, 6 and 8 are having frequency two in the given sequence.
43. How many numbers are in sequence which are written twice
successively ?
(A) Three (B) Four
(C) Five (D) Six
Ans. (A)
Sol.
44. In the numbers from 100 to 1000, how many times digit 1 comes at
the ten’s place ?
(1) 9 (2) 10
(3) 90 (4) 900
Ans. (C)
Sol. Required numbers are 110, 111, 112,...........119 → 10
210, 211, 212,...........219 → 10
310, 311, 312,...........319 → 10
410, 411, 312,...........419 → 10
510, 511, 512,...........519 → 10
610, 611, 612,...........619 → 10
710, 711, 712,...........719 → 10
810, 811, 812,...........819 → 10
910, 911, 912,...........919 → 10
Total = 90
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45. If the numbers from 5 to 75, which are exactly divisible by 5 are
arranged in descending order, which number would come at the 12th
place from the bottom ?
(A) 45 (B) 50
(C) 55 (D) 60
Ans. (D)
Sol. 75
70 65
60 → 12th from the bottom
55
50 45
40 35
30 25
20
15 10
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Direction :- For Question Nos. 46 to 50. Each of the questions from 46 to 50 contains three elements. These elements may or may not have inter
linkage. Each group of the elements fit into one of the diagram given in (P), (Q),(R) and (S). You have to indicate the group of elements which correctly
fits into
46. Fruit, Apple, Mango
(A) P (B) Q
(C) R (D) S
Ans. (D)
Sol. Apple and Mango both are fruits.
47. Carrot, Food, Vegetables
(A) P (B) Q
(C) R (D) S
Ans. (A)
Sol. All carrots are vegetables and all vegetables are food.
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48. Traveller, Train, Bus
(A) P (B) Q
(C) R (D) S
Ans. (B)
Sol. Travellers travel in any of the two vehicles train or bus. So, we
can say some travellers travel by bus and some travellers travel by
train. So, the circle representing traveller will intersect with other two
circles which represents trains and bus.
49. Author, Lawyer, Singer
(A) P (B) Q
(C) R (D) S
Ans. (C)
Sol. All the three are different professions.
50. Truck, Ship, Goods
(A) P (B) Q
(C) R (D) S
Ans. (B)
Sol. Truck and ship are entirely different. But some goods are carried
by some trucks and some goods are carried by some ships.
Direction: Study the following figure and choose the correct for questions from 51 to 53.
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51. Number of women teachers who are employed ?
(A) 6 (B) 5
(C) 4 (D) 3
Ans. (C)
Sol. Common region of all i.e., 4
52. Number of teacher, who are not employed ?
(A) 8 (B) 7
(C) 6 (D) 5
Ans. (Bonus) (3)
Sol. It should be bonus because, answer not in option. Region in circle but outside rectangle
8 + 3 = 11
Most appropriate is 8.
53. Number of women who are not teachers ?
(A) 7 (B) 9
(C) 10 (D) 12
Ans. (D)
Sol. Region out of circle and inside triangle
7 + 5 = 12
Direction:-Study the following diagram and choose the correct for
questions from 54 to 55.
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54. Number of boys who are athlete and are disciplined ?
(A) 1 (B) 7
(C) 3 (D) 5
Ans. (B)
Sol. Common region of circle, rectangle and square is 7.
55. Number of girls who are not athlete ?
(A) 6 (B) 7
(C) 8 (D) 9
Ans. (C)
Sol. Region with only triangle
56. A man is facing South-West and then he turns 1350 in the anticlock-
wise direction and then again he turns 1800 clockwise. In which
direction he is facing now ?
(A) West (B) East
(C) South (D) North
Ans. (A)
Sol.
57. A girls goes 40 meters North then truns right and walks 20 meters,
then again she turns right and walks 20 meters and again she turns
right and walks 20 meters. How many meters she is from its original
position ?
(A) 10 m (B) 30 m
(C) 20 m (D) zero meter
Ans. (C)
Sol.
AE = 20 m
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58. If ‘+’ means ‘ ’, ‘ ’ means ‘–’, ‘–’ means ‘×’ and ‘×’ means ‘+’ then
15 + 3 2 − 5 12 = ?
(A) – 43.5 (B) 18
(C) 11 (D) 7
Ans. (D)
Sol. Given expression : 15 + 3 2 − 5 12
15 3 − 2 5 + 12
5 − 2 5 + 12
5 −10 + 12
17 – 10 = 7
59. If ‘Q’ means ‘’add’’ to ‘’, ‘K’ means ‘’multiply by’’, ‘S’ means ‘’subtract
from’’ and ‘L’ means ‘’divide by’’ then,
2 0 L 2 Q 3 K 7 S 8 = ?
(A) 3 (B) 23
(C) 22 (D) 39
Ans. (B)
Sol. 20L2Q3K7S8
20 2 + 3 7 − 8
10 + 3 × 7 – 8
10 + 21 – 8
31 – 8 = 23
60. A father is now 2 times as old as his son. Five years back, he was 3
times as old as his son. The son’s age is -
(A) 5 (B) 10
(C) 15 (D) 20
Ans. (B)
Sol. Let the present age of son be x.
Father’s age = 2x
5 years ago, son’s age = x – 5
Father’s age = 2x – 5
2x – 5 = 3(x – 5)
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2x – 5 = 3x – 15
10 = x
x = 10
61. Today is Rakesh’s birthday. Two years from today he will be thrice as
old as he was 10 years ago. How old is Rakesh today ?
(A) 14 (B) 15
(C) 16 (D) 25
Ans. (C)
Sol. Let the present age be x.
Now, ATQ, 3(x – 10) = x +2
3x – 30 = x + 2
2x = 32
x = 16
Direction :Find the missing number in each of the following question from 62 to 66 and choose the correct options.
62.
(A) 2400 (B) 3000
(C) 4200 (D) 3600
Ans. (D)
Sol. 5 × 1 = 5
5 × 2 = 10
10 × 3 = 30
30 × 4 = 120
120 × 5 = 600
600 × 6 = 3600
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63.
(A) 89 (B) 76
(C) 110 (D) 63
Ans. (A)
Sol. 3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 + 34 = 55
34 + 55 = 89
64.
(A) 680 (B) 682
(C) 512 (D) 580
Ans. (B)
Sol. 2 × 4 + 2 = 10
10 × 4 + 2 = 42
42 × 4 + 2 = 170
170 × 4 + 2 = 682
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65.
(A) 27 (B) 104
(C) 117 (D) 130
Ans. (C)
Sol. 3 × 8 = 24
8 × 9 = 72
9 × 13 = 117
3 × 13 = 39
66.
(A) 25 (B) 20
(c) 15 (D) 10
Ans. (B)
Sol.
67. Calender for 2016 will serve aslo for year-
(A) 2021 (B) 2020
(C) 2022 (D) 2023
Ans. (BONUS)
Sol. 2016 is a leap year so next same leap year will be after 28 years.
Answer should be 2044 but it is not in options, so it should be
bonus.
From the available options, 2021 can be answer as it has same first
day as 2016.
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68. Number of times the hands of clock are in a straight line in 24 hours
is-
(A) 22 (B) 24
(C) 42 (D) 44
Ans. (D)
Sol. In straight line when angle is
(i) 0º 22 times
(ii) 180º 22 times
So total = 44 times.
69. Find the number which when added to itself 15 times gives 144.
(A) 7 (B) 8
(C) 9 (D) 10
Ans. (C)
Sol. Let the number be x
x + 15x = 144
x = 9
70. A group of 420 persons consisting of coaches and players are there to
participate in an event. For every 20 players there is a coach. Find the
number of coaches in the group.
(A) 20 (B) 19
(C) 18 (D) 17
Ans. (A)
Sol. 20 players + 1 coach = 21 person in 1 group.
20 coaches.
71. (1) Word (2) Paragraph (3) Sentence (4) Letters
(5) Phrase
(A) (4),(5),(2),(3),(1) (B) (4),(1),(5),(3),(2)
(C) (4),(2),(5),(1),(3) (D) (4),(1),(5),(2),(3)
Ans. (B)
Direction: From Question Nos. 71 to 75. Arrange the words given in each
question in meaningful sequence and choose the correct options.
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Sol. (4) Letters, (1) Word, (5) Phrase, (3) Sentence, (2) Paragraph
72. (1) Police (2) Punishment (3) Crime (4) Judge
(5) Judgement
(A) (1),(2),(3),(4),(5) (B) (3),(1),(2),(5),(4)
(C) (3),(1),(4),(5),(2) (D) (1),(3),(5),(4),(2)
Ans. (C)
Sol. (3) Crime, (1) Police, (4) Judge, (5) Judgement, (2) Punishment
73. (1) Poverty (2) Population (3) Death (4) Unemployment
(5) Disease
(A) (2),(1),(4),(3),(5) (B) (1),(2),(4),(5),(3)
(C) (2),(4),(5),(1),(3) (D) (2),(4),(1),(5),(3)
Ans. (D)
Sol. (2) Population, (4) Unemployment, (1) Poverty, (5) Disease, (3)
Death
74. (1) Leaf (2) Fruit (3) Stem (4) Root (5) Flower
(A) (4),(1),(3),(5),(2) (B) (4),(3),(1),(5),(2)
(C) (4),(3),(5),(1),(2) (D) (3),(5),(1),(2),(4)
Ans. (B)
Sol. (4) Root, (3) Stem, (1) Leaf, (5) Flower, (2) Fruit
75. (1) Nation (2) Village (3) City (4) District (5) State
(A) (2),(3),(4),(5),(1) (B) (2),(3),(5),(4),(1)
(C) (3),(2),(5),(4),(1) (D) (5),(4),(3),(1),(2)
Ans. (A)
Sol. (2) Village, (3) City, (4) District, (5) State, (1) Nation
Direction : From question Nos. 76 to 80, study and analysis the figures
and identify the rule which they follow. Choose the correct option for ?
place.
76.
Answer figures
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Ans. (B)
Sol. From figure I to II one horizontal and one vertical line segment
are removed. So answer is (B).
77.
Answer figures
Ans. (D)
Sol. Rotate figure I by 45º clockwise and shift dot to opposite side.
78.
Answer figures
Ans. (C)
Sol. Water image of the double of double the
79.
Answer figures
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Ans. (A)
Sol. The join of line segment cutting the sides of figure I comes and
oin at the centre.
80.
Answer figures
Ans. (D)
Sol. Second figure is part of first figure.
Direction : In queston Nos. 81 to 90, Problem figures has a sequence.
Find the rule and select the appropriate figure from Answer figures
for ? place.
81. Problem Figures
Answer figures
Ans. (B)
Sol. Both are moving in anticlockwise direction.
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82. Problem Figures
Answer figures
Ans. (A)
Sol. Number of 0 increasing by 1 and rotate by 90º.
83. Problem Figures
Answer figures
Ans. (BONUS)
Sol. Triangle rotate by 90º clockwise but dot is not the part of question
figures. So its position is not clear.
84. Problem Figures
Answer figures
Ans. (A)
Sol. Circle is changing alternatively big and small and number of sides
in polygon increase by 1.
85. Problem Figures
Answer figures
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Ans. (D)
Sol. Continuously half line segment is removed.
86. Problem Figures
Answer figures
Ans. (A)
Sol. Circle moves clockwise, alternate shaded unshaded square.
87. Problem Figures
Answer figures
(1) Beena (2) Neena
(3) Reena (4) Teena
Ans. (B)
Sol. rotates anticlockwise 90º and circle moves half diagonally.
88. Problem Figures
Answer figures
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Ans. (C)
Sol. moves clockwise half step.
moves clockwise 2steps.
moves clockwise 11/2 steps.
89. Problem Figures
Answer figures
Ans. (D)
Sol. Number of line segment decreases by 1 and number of dots
decreases by 1 in the successive figures.
90. Problem Figures
Answer figures
Ans. (A)
Sol. From fig., I to II, is added opposite to
From fig., II to III, is added at 45º clockwise
From fig., III to IV, is added opposite to added in above step.
So, from fig., IV to V → is added at 45º clockwise.
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Direction : From question Nos. 91 to 95, complete the figures by
choosing appropriate figure from answer figures.
91.
Answer figures
(1) East (2) West
(3) North (4) South
Ans. (C)
Sol.
92.
Answer figures
Ans. (B)
Sol. Figure in column III is the common part of Ist and IInd column.
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93.
Answer figures
Ans. (D)
Sol. From column IInd to column III cross lines replaced by small
circles.
94.
Answer figures
Ans. (A)
Sol. Row wise 2 figures are the part of third figure.
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95.
Answer figures
Ans. (C)
Sol.
Direction : Choose the odd figure out from the figures in Question
number 96 to 100.
96.
Ans. (D)
Sol. Except (D) inner and outer figures are same.
97.
Ans. (D)
Sol. Except (D) the inner two figures are same.
98.
Ans. (B)
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Sol. Except (B) both lines are perpendicular to each other.
99.
Ans. (C)
Sol. Except (C) all are having even number of line segments.
100.
Ans. (C)
Sol. No. of sides – 2 = Number of dots, but not in (C).
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