1

Direction : In question nos. 1 to 12 there is missing number shown by question mark (?). This term is one of thefour 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.5, 6, 10, 19, 35, 60

+1 +4 +9 +16 +25

2. 6, 13, 29, 63, ?

(A) 126 (B) 113 (C) 128 (D) 133

Ans. (D)

Sol. 6, 13, 29, 63, 133

×2+1 ×2+3 ×2+5 ×2+7

3. 4, 8, 16, 32, 64, 128, ?

(A) 256 (B) 228 (C) 512 (D) 192

Ans. (A)

Sol.4, 8, 16, 32, 64, 128, 256

×2 ×2 ×2 ×2 ×2 ×2

4. 3, 5, 9, 17, 33, 65, ?

(A) 130 (B) 98 (C) 129 (D) 132

Ans. (C)

Sol.3, 5, 9, 17, 33, 65, 129

+2 +4 +8 +16 +32 +64

5. 3, 6, 11, 18, 27, ?

(A) 48 (B) 38 (C) 36 (D) 56

Ans. (B)

Sol.3, 6, 11, 18, 27, 38

+3 +5 +7 +9 +11

6. 2, 4, 12, 48, 240, ?

(A) 1440 (B) 1200 (C) 480 (D) 960

Path to success KOTA (RAJASTHAN)

TM NATIONAL TALENT SEARCH EXAMINATION(NTSE-2021) STAGE -1

STATE : MADHYA PRADESH PAPER : MAT

Date: 13/12/2020

SOLUTIONSMax. Marks: 100 Time allowed: 120 mins

2

Ans. (A)

Sol.2, 4, 12, 48, 240, 1440

×2 ×3 ×4 ×5 ×6

7. 15, 18, 111, 114, 117, ?

(A) 125 (B) 123 (C) 121 (D) 120

Ans. (D)

Sol. 1 , 1 , 1 , 1 , 1 , 5 8 11 14 17 120

+3 +3 +3 +3 +3

8. 33, 44, 35, ? , 37, 46, 39, 47....

(A) 36 (B) 47 (C) 45 (D) 48

Ans. (C)

Sol. 33, 44 35, , 37, 46, 39, 47, ....45

+2 +2 +2

+1 +1 +1

9. 41, 42, 50, 77, 141, ?

(A) 248 (B) 266 (C) 423 (D) 218

Ans. (B)

Sol.41, 42, 50, 77, 141, 266

+13 +23 +33 +43 +53

10. 4, 6, 10, 16, 24, ?

(A) 30 (B) 40 (C) 36 (D) 34

Ans. (D)

Sol.4, 6, 10, 16, 24, 34

+2 +4 +6 +8 +10

11. B, D, G, I, ? , N ......

(A) L (B) M (C) K (D) J

Ans. (A)

Sol.B, D, G, I, , NL

+2 +3 +2 +3 +2

3

12. A, CD, GHI, ?, UVWXY

(A) NOPQ (B) MNO (C) MNOP (D) NOPQ

Ans. (C)

Sol.A, CD, GHI, MNOP, UVWXY

B EF JKL QRST

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 fromoptions which shows the same relationship between these pairs of words as between the pair of words given on lefthand side of :: symbol.

13. Film : Producer :: Book : ?

(A) Director (B) Publisher (C) Editor (D) Writer

Ans. (B)

Sol. Here, the production of the first is done by second.

14. Clock : Time :: Theremometer : ?

(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 : ?

(A) Air-hostess (B) Runway (C) Pilot (D) 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 (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, governer is the highest officer of the state.

4

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. B P R D R T

+2

+2+2

:

So, D M P F O R

+2

+2+2

:

22. CLP : DOR : : JPT : ?

(A) KQU (B) IMS (C) LQV (D) KSV

Ans. (D)

Sol.

C

J

L

P

P

T

:

:

D

K

O

S

R

V

+1

+1

+3

+3

+2

+2

So,

23. Bread is related to wheat in the same way as Brick is related to _________.

(A) Fire (B) Clay (C) Cement (D) Smoke

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)

5

Sol. Absence of carefulness causes accident and in the same way absence of sanitation causes diseases.

25. Choose the odd one out from following.

(A) Sun (B) Mars (C) Earth (D) 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.

(A) Teacher (B) Office (C) Student (D) 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. P O P U L A R

O N O T K Z Q

Word

Code

–1 –1 –1 –1 –1 –1 –1

G B N P V T

H C O Q W U

Code

Word

+1 +1 +1 +1 +1 +1

But, the answer is not in the option.

6

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. S I K K I M

T H L J J L

+1 –1 +1 –1 +1 –1

T R A I N I N G

U Q B H O H O F

+1 –1 +1 –1 +1 –1 +1 –1

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)

Sol. In the code, every two letters are reversed in arrangement. Hence POSITIVE will become OPISITEV.

C H A M P I O N

H C M A I P N O Similarly,

P O S I T I V E

O P I S I T E V

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’ ?

(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 isthe woman related to this person ?

(A) Mother (B) Sister (C) Daughter (D) Aunt

Ans. (B)

Sol.

Grandfather

Father

BrotherPersonWoman

7

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 ?

(A) Q is the son of P (B) Q is the brother of P (C) Q is the father of P (D) Q is the uncle of P

Ans. (C)

Sol. Q R

P

From family tree, ‘Q is the father of P’.

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.

Q

RP

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. Gwalior Bhopal Tall Short Girl Boy

ABCDE

F

40. Nitin ranks fifteen in a class of 39. What is his rank from the last ?

(A) 23 (B) 24 (C) 25 (D) 26

Ans. (C)

8

Sol. Since Nitin ranks fifteen in a class of 39

14

Nitin 15th

From bottom, Nitin ranks 39 – 14 = 25

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. 5 , 3 , 1 , 2, 2, 8, 7, 2, 4 , 4, 6 , 1, 3 , 4, 3, 2, 2, 4 , 7, 8, 6 , 1, 5, 9

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. 5, 3, 1, 2, 2 , 8, 7, 2, 4, 4 , 6, 1, 3, 4, 3, 2, 2 , 4, 7, 8, 6, 1, 5, 9

44. In the numbers from 100 to 1000, how many times digit 1 comes at the ten’s place ?

(A) 9 (B) 10 (C) 90 (D) 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

45. If the numbers from 5 to 75, which are exactly divisible by 5 are arranged in descending order, which number wouldcome at the 12th place from the bottom ?

(A) 45 (B) 50 (C) 55 (D) 60

Ans. (D)

9

Sol. 75

70

65

60 12th from the bottom

55

50

45

40

35

30

25

20

15

10

5

Direction :- For Question Nos. 46 to 50. Each of the questions from 46 to 50 contains three elements. Theseelements 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 iinto

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.

Food

Vegetables

Carrot

10

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 sometravellers travel by train. So, the circle representing traveller will intersect with other two circles which represents trainsand bus.

Train Bus

Travellers

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 someships.

Direction: Study the following figure and choose the correct for questions from 51 to 53.

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)

Sol. It should be bonuse because, answer not in option.

Region in circle but outside rectangle

8 + 3 = 11

Most appropriate is 8.

11

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.

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.135º

180º

W

SW

E

57. A girls goes 40 meters North then truns right and walks 20 meters, then again she turns right and walks 20 meters andagain 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)

12

Sol.

20m

20m40m

A

B C

DE 20m

AE = 20 m

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)

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 Rakeshtoday ?

(A) 14 (B) 15 (C) 16 (D) 25

13

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 optins.

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

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

14

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

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.9 7 31 9 28 52

4; 10; 204 4 4

67. Calender for 2016 will serve aslo for year-

(A) 2021 (B) 2020 (C) 2022 (D) 2023

Ans. (BONUS)

15

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.

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 tthe 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 playersthere 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.

42020groups

21

20 coaches.

Direction: From Question Nos. 71 to 75. Arrange the words given in each question in meaningful sequence and choose thecorrect options.

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)

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

16

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 queston Nos. 76 to 80, study and analysis the figures and identify the rule which they follow. Choose thecorrect option for ? place.

76.

Answer figures

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)

17

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

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.

18

Direction : In queston Nos. 81 to 90, Problem figures has a sequence. Find the rule and select the appropriatefigure from Answer figures for ? place.

81. Problem Figures

Answer figures

Ans. (B)

Sol. Both are moving in anticlockwise direction.

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.

19

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

Ans. (D)

Sol. Continuously half line segment is removed.

86. Problem Figures

Answer figures

Ans. (A)

Sol. Circle moves clockwise, alternate shaded unshaded square.

20

87. Problem Figures

Answer figures

Ans. (B)

Sol. rotates anticlockwise 90º and circle moves half diagonally..

88. Problem Figures

Answer figures

Ans. (C)

Sol. moves clockwise half step.

moves clockwise 2steps.

moves clockwise 1

12

steps.

89. Problem Figures

Answer figures

Ans. (D)

21

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.

Direction : From queston Nos. 91 to 95, complete the figures by choosing appropriate figure from answer figures.

91.

Answer figures

Ans. (C)

Sol. In 1st row, from Ist to IInd figure upper and lower semicircle darken.

Similary, in 2nd row, upper and lower semicircle will darken.

22

92.

Answer figures

Ans. (B)

Sol. Figure in column III is the common part of Ist and IInd column.

93.

Answer figures

Ans. (D)

Sol. From column IInd to column III cross lines replaced by small circles.

23

94.

Answer figures

Ans. (A)

Sol. Row wise 2 figures are the part of third figure.

95.

Answer figures

Ans. (C)

Sol. 1 dot 2 dot 3 dots

So, 1 2 3

Direction : Choose the odd figure out from the figures in Question number 96 to 100.

96.

Ans. (D)

24

Sol. Except (D) inner and outer figures are same.

97.

Ans. (D)

Sol. Except (D) the inner two figures are same.

98.

Ans. (B)

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).