tm national talent search examination (ntse ......(1) meena and sarika (2) meena and geeta (3) meena...

1

Direction Q.1 & Q.2

Find the odd term.

1. (1) ABDEF (2) JKMNX (3) GHJKR (4) IJLMT

Sol. Ans is 1st option

Difference between last 2 letters is either 6 or 9 (which are 3’s multiples) which is not happening in 1stoption.

2. (1) CEG18 (2) KMO42 (3) UWY70 (4) RTV63

Direction Q.3 to Q.5 :

In the following questions there is a specific relation between the first and the second figure. The samerelationship exists between the third and the fourth figure which will replace the question mark. Select thecorrect figure from the alternatives given below each question.

Sol. Ans is 3rd option

Sum of positions of all letters in the option (+) 3 gives the required answer

for e.g. C + E + G + 3 = 18 (3 + 5 + 7 + 3)

happens in all options except in 3rd instead of 70, should have been 72

3.

(1) (2) (3) (4)

Sol. Ans is 3rd option

Looking at the figure, it is easily predictable required line up of objects.

Path to success KOTA (RAJASTHAN)

TM NATIONAL TALENT SEARCH EXAMINATION(NTSE-2019) STAGE -1

STATE : MAHARASHTRA PAPER : MATDate: 04/09/2018

SOLUTIONSMax. Marks: 100 Time allowed: 120 mins

2

4.

(1) (2) (3) (4)

Sol. Ans is 4th option

Looking at the figure it can be found rotation of symbols used in all figures.

5.

(1) (2) (3) (4)

Sol. Ans is 2nd option

Looking at the figure, it can be found required rotation of arrow and circle.

6. ABCDEFGHIJKLMZYXWVUTSRQPON

From the above letter series find the letter which is at the 6th position to the right side of the letter whichis at the centre position of the letters which are at the 11th place from the left and 14th place from the right

(1) U (2) F (3) Y (4) L

Sol. NO OPTION IS MATCHING

7. Direction: In the following question there is a specific relation between the first and second term. Thesame relationship exist between third and fourth term. Understanding the relationship find out the correctalternative to replace the question mark. 25 : 100 : : 81 :?

(1) 648 (2) 468 (3) 864 (4) 684

Sol. Answer is 1st option

it is 52 : 53 - 52 : : 92 : 93 - 92

3

Direction: Q.8 to Q.10

Find the odd figure.

8. (1) (2) (3) (4)

Sol. Answer is 3rd option

Looking at the figure it is easily tracable

Position of black square should be to the right of circle.

9. (1) (2) (3) (4)

Sol. Answer is 2nd option

Looking at lines present in triangle, it is easily identifiable.

10. (1) (2) (3) (4)

Sol. Answer is 4th option

Looking at the middle object, it can be easily found.

Direction Q.11 to 14:

In each of the following questions write which term in the sequence replaces the question mark.

11. 13, 23, 43, 83, 163,?

(1) 326 (2) 123 (3) 321 (4) 318


12. 12, 15, 21, 24, 30, 33,?,?

(1) 36, 41 (2) 37, 42 (3) 38, 47 (4) 39, 51


It is divisibility of 3 along with the difference between consecutive numbers is a multiple of 3.

13. 16, 40, 100, 250, ?

(1) 575 (2) 625 (3) 425 (3) 525

Sol Answer is 2nd option

4

Difference between numbers is 2.5 times of the earlier difference like between

16 & 40 24

40 and 100 60 24 x 2.5

14. 23, 29, 47, 72, ?

(1) 87 (2) 93 (3) 110 (4) 117


23, 29, 47, 75, ________

23 + (2 x 3) = 23 + 6 = 29

29 + (2 x 9) = 29 + 18 = 4747 + (4 x 7) = 47 + 28 = 7575 + (7 x 5) = 75 + 35 = 110

Direction Q.15 to 17 :

The adjacent figure is folded to form a cube. Observe the figure and answer the following questions.

15. Which of the following symbol will not occur adjacent to E ?

(1) µ (2) (3) (4) Sol. Answer is 1st option.

16. Which of the following symbol will be on the opposite surface of the symbol k ?

(1) (2) (3) (4) µ

Sol. Answer is 2nd option.

17. Which of the following figure obtained by folding the paper to form a cube ?

(1) (2) (3) (4)

Sol. Answer is 1st option.

5

Direction Q.18 to 19 :

There is a specific relationship between the numbers that are given in the following figures. On the basisof the relationship choose the correct alternative to replace the question mark.

18.

(1) 210 (2) 266 (3) 288 (4) 318


in first square 9 x 16 = 144

in second square 33 x 6 = 198

in third square 18 x 16 = 288

19.

(1) 473 (2) 623 (3) 389 (4) 584


43 + 33 + 73 = 64 + 27 + 343 = 434

63 + 23 + 53 = 216 + 8 + 125 = 349

83 + 43 + 23 = 512 + 64 + 8 = 584

Direction : Q.20 & 21

Choose the mirror image from the alternatives given for the given question figure.

20.

6

(1) (2) (3) (4)


Looking at the figure, it is easily recognisable.

21.

(1) (2) (3) (4)


Looking at the figure, it could be found


Observe the arrangement of numbers that is given below. There is a specific rule ¡n that arrangement.Study that rule carefully and choose the correct alternative to replace the question mark.

22.

(1) 11 (2) 13 (3) 15 (4) 17


7

23.

(1) 125 (2) 90 (3) 105 (4) 225


24.

(1) 33 (2) 81 (3) 243 (4) 42


Logic : 8 x 8 = 64, 13 x 8 = 104

14 x 14 = 196, 11 x 14 = 154

21 x 15 = 315, 15 x 15 = 225


In the following questions there is a specific relation between the first and the second term. The samerelationship exists between the third and the fourth term. Understanding the relationship find out thecorrect alternative to replace the question mark.

25. FILM : ADGFI :: MILK:?

(1) ADGE (2) HDGE (3) HEGF (4) HDGF


difference between

F & A

I & Dis common i.e.4

L & G

M& H

M & H

I & D

L & G

26. MK : 169121

: : JH : ?

(1) 164

(2) 254

(3) 64

100(4)

12164

8


27. ? : DURXQG : : POLICE : SROLFH

(1) ARMOUR (2) AROUND (3) GROUND (4) SHOULD

Sol. Answer is 2nd option.

Difference between letters is constant

QRP SPQO RMNL O

JKI LDEC FFGE H

BCA DSTR UPQO RVWU XOPN QEFD G


Meena, Sarika, Geeta and Neeta are four friends. They like different flowers. Geeta and Sarika like Marigold.Except Meena all the friends like ‘Jai’ Meena and Sarika like ‘Champak’ and ‘Mogra’. Geeta likes all theflowers except ‘Mogra’. Neeta does not like only ‘Marigold’. Meena Likes only two types of flowers then

28. Who likes all types of flowers?

(1) Neeta (2) Sarika (3) Meena (4) Geeta


29. Name the type of flower, that all the friends like?

(1) Marigold (2) Mogra (3) Champak (4) Jai


30. Who do not like ‘Marigold’?

(1) Meena and Sarika (2) Meena and Geeta

(3) Meena and Neeta (4) Sarika and Neeta


Marygold Jai Champak MograMeena Sarika Geeta Neeta

9


The following figure is made by joining some cubes of size 1 1 1 unit to each other. Outer surfaces ofthe figure are painted. Observe the figure and answer the questions by choosing the correct alternative.

31. Find the maximum number of faces of a cube that may have been painted.

(1) 5 (2) 4 (3) 3 (4) 2


32. Find the number of cubes having no face painted ?

(1) 0 (2) 1 (3) 2 (4) 3


33. How many small cubes are used to form the given figure?

(1) 50 (2) 48 (3) 52 (4) 46


Looking at the number of cubes and measuring answers could be found

only doubt remains about (Q.32)

As the required answer comes as 5 but we have max option as 3.

34. In a certain code language

3 2 = 29 ; 4 5 = 74;

7 3 = 58 ; then, 6 8 = ?

(1) 134 (2) 118 (3) 116 (4) 132


3 x 2 = 29 ; 3 x 2 = 23 + (3 x 2 ) = 29

4 x 5 = 74 ; 4 x 5 = 54 + ( 4 x 5) = 74

7 x 3 = 58 ; 7 x 3 = 37 + (7 x 3) = 58

So 6 x 8 = 134; 6 x 8 = 86 + (6x 8) = 134

35. In a certain code language

11 + 5 = 16 36; 22 + 6 = 58;

33 + 7 = 40 82; then, 55 + 9 = 64 ?

(1) 112 (2) 163 (3) 136 (4) 124

10


11 + 52 = 36, 22 + 62 = 58

33 + 72 = 82, 55 + 92 = 136


In each of the following questions the question figure change in a particular order. Decide which figurefrom the given alternatives will replace the question mark.

36. Question figure

(1) (2) (3) (4)

Sol.

arrow going 900 clockwise

answer figure will contain

answer is either 3 or 4

line with cuts is always to the right of arrow

answer figure will contains

in option 3 there are 6 cuts abut number of piece are only 6. answer figure is options 4.

37. Question figure

11

(1) (2) (3) (4)

Sol. M is moving diagonally answer figure M

O is moving corners clockwise answer figure. M

B

S is moving moving middle of sides and corner clockwise M

BS

Answer figure is option 1

38. In the following question there is a specific rule between the letters and the numbers in each horizontalrow. Identify the rule and choose the correct alternative to replace the question mark.

(1) 9, 29 (2) 18, 210 (3) 179, 239 (4) 203, 181


39. Choose the correct alternative to replace the questions mark.

(1) H (2) I (3) J (4) K

Sol.

D H

K M X

G P

M J

R B P

E F

12

4 8

11 B 24

7 16

13 10

18 2 16

5 6

4 7 11

11 13 24

8 16 24

13 16 10

5 2 618 18 16

L C

S G L

G I

N U

O ? W

A B

12 3

19 7 12

7 9

14 21

15 ? 23

1 2

12 7 19

12 7 19

3 9 12

th

23 15 8

8 letter H

Answer is 1st option

A

5km

5km 4km13km


Ajit walked 5 km. East from A. After turning left he walked 3 km. Then he turned in South-east directionand walked 5 km. Then he turned west and walked 4 km. Finally he turned left and walked 12 km. Then

40. How far Ajit is from his original place ?

(1) 13 km (2) 17 km (3) 18 km (4) 7 km


Ajit is 13km from original place because

2 25 12 13

13

41. Ajit is facing which direction now ?

(1) East (2) South (3) West (4) North


Ajit is facing south direction.


In the figure given below a transparent square shaped paper is folded along the dotted lines. Which figurewill be obtained? Find the correct figure from the alternatives given.

42. Question figure

(1) (2) (3) (4)


43.

(1) (2) (3) (4)



In the following questions choose the correct term that will replace the question mark.

44. AYC, EU JPL, C WE,?

(1) HRJ (2) IQK (3) JPL (4) KOM

14


A B C D E F G H I J K L M A B C D E F G H I J K L M

Z Y X W V U T S R Q P O N Z Y X W V U T S R Q P O N

45. NTS. OUT, PTS,?

(1) QWV (2) QRS (3) QTP (4) QPO

So. Answer is 1st option

N T S

14 6 20 1 19

O U T

15 6 21 1 20

P T S

16 4 20 1 19

options 1 Q W V

17 6 23 1 22

options 2 Q R S

17 1 18 1 19

options 3 Q T P

17 3 20 4 16

options 4 Q P O

17 1 16 1 15

46. AMZN, BLYO, CKXP,?

(1) DQJW (2) DJWQ (3) DIWR (4) DWJQ


A M Z N

1 1 1 1

B L Y O

1 1 1 1

ans D J W Q

15

47. JBY, NIV, SOS, YTP,?

(1) EVM (2) BVG (3) FYL (4) FXM


J B Y+4 +7 -3N I V+5 +6 -3S O S+6 +5 -3Y T P+7 +4 -3F X M


Observe the following pyramid of letters and decide which alternative will be in place of question mark ineach of the following question.

48. acdj : ? : : eih : ehnq

(1) abfg (2) acdi (3) acci (4) abfh


abfg

49. vihx : uwxt : : ? : pazq

(1) abde (2) bdez (3) dbaz (4) azed


vihx : uwxt: : ? : pazq

bdez

50. jktij : goqngq : : ¡Ismis : ?

(1) hnrniihr (2) hnrnmr (3) hnrmhn (4) hrmnhn

Sol Answer is 1st option

hnrmhr

16


Eight players are standing to play ‘Standing Kho-Kho’ Geeta is at the third place to the right of Mahesh.Amar is to the first place to the right of Geeta. Asha is to the fourth place to the left of Geeta. Radha is atcentral place between Parag and Asha. Meena is at the central place between Geeta and Hemant. Then

51. Who is standing opposite to Hemant?

(1) Amar (2) Parag (3) Radha (4) Geeta


52. Who is standing between Parag and Geeta?

(1) Hemant (2) Mahesh (3) Amar (4) Meena

Sol. Answer is option (2)

Mahesh is between Parag and Geeta

53. Who is at the fourth place to the left of Geeta?

(1) Mahesh (2) Asha (3) Parag (4) Radha


Asha is 4th place to left of Geeta.


Complete the question figure by choosing the correct answer figure.

54.

(1) (2) (3) (4)


17

55.

(1) (2) (3) (4)



In each of the following questions write which symbol in the sequence will replace the question mark.

56. , , , ?

(1) (2) (3) (4)


57. nf , nf , nf , ?

(1) f n (2) nf (3) f n (4) n f


f n

18


Ten years ago the ratio of the ages of Ramesh and Suresh was 1: 5. Ten years hence the ratio of their ageswill be 3 : 5 then

Sol. Q. 58 & Q.59)

Let the current ages of Ramesh and Suresh be x and y.

Ten years ago

x 10 15x 50 y 10

y 10 5

5x - y = 40 ...........(1)

x 10 35x 50 3y 30

y 10 5

5x --3y = -20 ...........(2)

5x - y = 40

5x - 3y = -20

(-) (+) (+) Subtracting

2y = 60 y = 30

5x - 30 - 405x = 40 x 30 = 70x = 14

58. Find the present age of Ramesh?

(1) 14 years (2) 10 years (3) 40 years (4) 24 years


Ramesh = 14 years.

59. How old was Suresh ten years ago?

(1) 9 years (2) 20 years (3) 40 years (4) 30 years


Suresh ten years ago = 20 years


In a queue, Suneeta is at the tenth place from front. Subhash is at 25th place from behind. Gargi is standingat the central place between Suneeta and Subhash. There are 50 persons in the queue. Then

60. Gargi is standing at which place from front?

(1) 20 (2) 19 (3) 18 (4) 17


Gargi from front 18th

61. Gargi is at which place from behind ?

(1) 31 (2) 32 (3) 33 (4) 34

19


Gargi from behind 33rd


Choose the correct water image from the given alternatives for the given question figure.

62.

(1) (2) (3) (4)


Water image

63.

(1) (2) (3) (4)



In the following questions in every row the numbers outside the bracket are related to the number insidethe bracket in a specific manner. From the given alternatives choose the number that will replace thequestion mark.

64. 37 (46) 60

121 (74) 158

318 (?) 269

(1) 184 (2) 248 (3) 98 (4) 79


20

60 37 23 23 2 46

158 121 37 37 2 74

318 269 49 49 2 98

65. 35 (36) 73

64 (38) 27

43 (?) 58

(1) 39 (2) 52 (3) 101 (4) 119


3 x 5 + 7 x 3 = 15 + 21 = 36

6 x 4 + 2 x 7 = 24 + 14 = 38

4 x 3 + 8 x 5 = 12 + 40 = 52


In the following questions a specific group of terms is given. From the given alternatives, find out thecorrect term that matches the given group.

66. JGDA ZWTQ UROL

(1) LIGD (2) SPMK (3) LJFC (4) NKHF


Specific the rule

67. AGM DJP HNT

(1) GNT (2) EKP (3) IOV (4) KQW


specific the rule

The rule is +6, -6

68. JFYU GKTP FJUQ

(1) AEZW (2) DHWS (3) JMRO (4) CGXS


A B C D E F G H I J K L M

Z Y X W V U T S R Q P O N

21


69.

(1) 16 (2) 32 (3) 40 (4) 80


Basic figure

10 x 4 = 401 + 2 +3 +4 = 10

70.

(1) 48 (2) 50 (3) 58 (4) 62


22

y

y

y

y

x

x

x

x

Basic figure

= 8

8 x 6 = 48

----2 more triangles at joints.

Total joints here are = 6 6 more triangle (shown as dots)

Total joints shown as cross = 4 4 more triangles.

Total right angled triangles = (say) = 4

total = 48 + 6 + 4 + 4 = 62


In certain code languaes the word PACK is written in four different code languages. Understanding thecode, find out the correct code language for the word given in each of the following questions.

PACK = (1) TEGO

(2) MXZH

(3) VFGO

(4) QDHR

Sol. (Q. 71 to Q. 73)

4P T4A E4C G4K O

3P M3A X3C Z3K H

6P V5A F3C G4K O

1P Q3A D5C H7K R

code (1) (2) (3) (4)

71. RAIN = NXFK

Sol. Answer is 2

23

4R N3A X

3I F3N K

72. CROP = DUTW

Sol. Answer is 4

C D3R V5O T

P W

73. SAND = WERH

Sol. Answer is 1

4S W4A E4N R4D H


After folding a square piece of paper, it appears as shown in the question figure. The paper when unfoldedwill look like as shown in one of the alternatives. Select the correct alternative.

74.

(1) (2) (3) (4)

24


75.

(1) (2) (3) (4)


By observation


A rhythmic arrangement of alphabet is given. The mission alphabet appears in the same order in one ofthe alternative answers, choose the correction alternative.

76. _ b c _ a b_ c aa b c

(1) acb (2) bab (3) aba (4) aac


_ b c |_ a b|_ c a|a b c

make pairing of 3-3

abc|cab|bca|abc a

b c

77 a b b _ b a a _ a _ b a b _ a b

(1) abab (2) ccac (3) aabb (4) abab


aab-baa-a-bab-ab

make group of 4 letters

abba|baab|abba|baab|


The following figure is made by arranging some cubes having each side 1 unit. The figure is painted fromall the sides. Observer the figure and answer the question by choosing the correct alternative.

25

78. How many cubes are there at the base level ?

(1) 18 (2) 24 (3) 36 (4) 216


There are 6 cubes in a single row and 6 cubes in a single column

it forms a square of 6 x 6

6 x 6 - 36 cubes are present in the base level.

79. How many cubes are there having three, faces painted ?

(1) 8 (2) 10 (3) 15 (4) 20


Three face painted cubes:

(a) In the base level we have 3 cubes in the front side of the diagram

(b) In the second level from the bottom we have another 3 cubes.

(c) In the third level from the bottom we have two cubes to the right end.

3 + 3 + 2 = 8 cubes are with three face painted

80 How many cubes are there having no face painted ?

(1) 3 (2) 2 (3) 0 (4) 4


No face painted: There are three cubes whose none of the cubes are painted and they are present thesecond level from the bottom.


In the given question figure a complex figure is given. Find out which of the figure given the alternatives ishidden in the complex figure ?

26

81.

(1) (2) (3) (4)


82.

(1) (2) (3) (4)



In the following questions a specific group of numbers is given. From the given alternative, choose thecorrect alternative that matches the given group.

83. 78 26 54

(1) 52 (2) 6 (3) – 6 (4) 31


78 26 54

27

23

13

783913

1

213

26131

2333

5427931

78 & 54 are multiple of 6.

the 4th Number should have a common factor with 26.

Digital sum

7 + 8 = 15 = 1 + 5 = 6

2 + 6 = 8 = 8

5 + 4 = 9 = 9

5 + 2 = 7 = 7

84 738 4930 2210

(1) 1341 (2) 6877 (3) 222 (4) 518


738 = 93 + 9

4930 = 173 + 17

2210 = 133 + 13

so 222 = 63 + 6

85 41 21 69

(1) 89 (2) 87 (3) 107 (4) 105


41 = 62 + 22 + 1

21 = 42 + 22 + 1

69 = 82 + 22 + 1

102 + 22 + 1 = 105


In the following questions symbol are given column I and are coded in column II. But they are not arrangedaccording to the order of symbols in column I. Find the code language and chose the correct alternative toanswer the questions.

Column - I Column - II

28

Sol. Digit 5 is present in two numbers 459 and 275 the common sign is

used in place of 5

5

digit 8 is present in 278 and 814

8 | |

Similarly on comparing we will get,

4

7

9

3

86 = ?

(1) 143 (2) 237 (3) 549 (4) 943


9 4 3

?

87. 135 = ?

(1) (2) (3) (4)


135 =

29

88. Observe the following code language and choose the correction alternative to answer the questions.

947580 = ?

Letters E L O A U K T P S JDigit 0 8 2 7 6 3 4 5 9 1

(1) SATPLE (2) STAPLE (3) STALPE (4) SATLPE


9 4 7 5 8 0

S T A P L E


A square place of paper is folded and cut at specific spots as shown in the figure. The paper when unfoldedwill look like as shown in one of the alternative.

89.

(1) (2) (3) (4)


90.

(1) (2) (3) (4)


30


Observer the following venn diagram and choose the correction alternative to answer the Questions.

91. How many players play only kabaddi and cricket ?

(1) 54 (2) 72 (3) 58 (4) 31


31

92. How many players play only one game ?

(1) 151 (2) 216 (3) 183 (4) 210


72

80

58

58 + 72 + 80 = 210

93. How many players do not play cricket and football ?

(1) 24 (2) 58 (3) 64 (4) 72


58

31

94 In a mathematical language if means +, means , means – and means then find the value of

the following expression 3 5 18 3 2 3 = ?

(1) – 6 (2) 0 (3) 6 (4) -3


+X

3 5 18 3 2 3

3 × 5 -18 ÷ 3 × 2+3

According to bodmas rule,

= 15 - 6 x 2 + 3

= 15 - 12 + 3

= 18 - 12

= 6

95 In mathematical language if means +, + means , means – and – means then find the value of thefollowing expression 4 8 – 2 + 5 7 = ?

(1) 33 (2) 23 (3) 17 (4) – 4


+, + x, x _ , _

4 8 ×- 2+5 7

= 4+ 8 × 2 5 7

According to bodmas rule,

= 4 + 4 x 5 - 7

= 4 + 20 - 7

= 24 - 7 = 1


In the following table the digits are assigned with certain symbols. Observer them carefully and choose thecorrect alternative to answer the questions.

Digits 9 8 7 6 5 4 3 2 1 0 Symbol Rupees ? ! ) % ( $ # ^

32

96. How will you write the number 8 7 4 6 0 5 3 ?

(1) ? ! ) ( % ̂ $ (2) ! ? ) ( % ̂ $ (3) ? ! ( ) ̂ % $ (4) ! ? ( ) ̂ % S


8 7 4 6 0 5 3

? ! ( ) ^ % $

97 Which number will be expressed by the code ( % ! $ ) Rupees symbol) # ?

(1) 4 7 5 9 3 6 1 2 (2) 4 5 7 3 9 6 1 2 (3) 4 7 5 3 9 6 1 2 (3) 4 5 7 9 3 6 1 2


4 5 7 3 9 6 1 2

( % ! $ ) #`


Observer the following pyramid and choose the correct alternative to answer the questions.

12 3 4

5 6 7 8 910 11 12 13 14 15 16

17 18 19 20 21 22 23 24 2526 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 4950 51 52 53 54 55 56 57 58 59 60 61 62 63 64

98. 52262839 : 62363447 : 54283041 : ?

(1) 60343245 (2) 54283042 (3) 60343244 (4) 60463244


52262839 : 62363447

126 27 28

38 39 40

52 53 54

2

3Left side 1

34 35 36

46 47 48

60 61 62

2

3Right side

54283041 : 60343245

33

128 29 30

40 41 42

54 55 56

2

3Left side 1

32 33 34

44 45 46

58 59 60

2

3Right side

99. 2567 : 4987 : : 7256 ?

(1) 7894 (2) 7489 (3) 7498 (4) 7948


2 3 4

5 6 7 8 9

1 1

2 3 3 2

2 3 4

5 6 7 8 9

2 2

3 3

1 1

100 61820 : 82422 : : 121920 : ?

(1) 142223 (2) 231524 (3) 191220 (4) 142322


1

2 3 4

5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23 24 25

121920 : 1 4 23 22

1

2 3 4

5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23 24 25

tm national talent search examination (ntse ......(1) meena and sarika (2) meena and geeta (3) meena...

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