TM NATIONAL TALENT SEARCH EXAMINATION · 2018-11-05 · The cost of five chairs and three table is 3110/-. If cost of one chair is 210 less than cost of one table. What is the cost

1

1. If 1025 =+x

x then value of 22 50

xx + will be

(1) 29 (2) 29 (3) 24 (4) 27

Ans. (4 )

Sol . xx 10252 =+

0)5( 2 =x 5=x 2702

2 =5+x

x

2. if 3=+ yx and 1522 =+ yx then value of 2)( yx will be

(1) 21 (2) 36 (3) 25 (4) 16

Ans. (1 )

Sol . 9)( 2 =+ yx 9222 =++ xyyx 3=xy

Now xyyxyx 2)( 222 += 21615 =+=

3. If 753cba == then value of b

cba ++ will be

(1) 7 (2) 3 (3) 10 (4) 5

Ans. (2 )

Sol . 753cba == = k 3

5753 =++=++

kkkk

bcba

4. If sum of two number is 25 and and sum of their square is 425 then what will be their product.

(1) 200 (2) 300 (3) 100 (4) 400

Ans. (3 )

Sol . 25=+ yx 625)( 2 =+ yx

625222 =++ xyyx 100=xy

Path to success KOTA (RAJASTHAN)

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

STATE : DELHI PAPER : MAT

Date: 04-November-2018

SOLUTIONSMax. Marks: 100 Time allowed: 120 mins

2

5. If 6464.0 2 =a then positive value of ‘a’ will be

(1) 0.1 (2) 0.01 (3) 1.0 (4) 10

Ans. (1 )

Sol . 10012 =a 10

1±=a 1.0=a

6. Divisor is 30 times of quotent and 4 times of Remainder, If quotent is 20 then Divident will be

(1) 1,200 (2) 12,150 (3) 10,000 (4) 600

Ans. (2 )

Sol . 3020 DivisorQ == 600=Divisor Divident = 1215015020600 =+

7. If 273 2 =ba and 39 =+ba then value of ba

will be

(1) 34

(2) 85

(3) 65

(4) 58

Ans. (4 )

Sol . 32 =ba ... (1)

122 =+ ba ... (2)

from Eq. (1) and (2) 34=a and 6

5=b 58

65

34

==ba

8. If 6111117 +=+ x then value of 2x will be

(1) 11 (2) 23 (3) 6 (4) 24

Ans. (4 )

Sol . squaring both side 62=x 242 =x

9. If ba = 2.02.02.002.0 then value of ba

will be

(1) 0.4 (2) 0.2 (3) 0.04 (4) 0.02

3

Ans. (1 )

Sol . squaring both side ba = 2.02.02.02.02.002.0

4.0=ba

10. If 37 and 37 + are solution of a Quadratic Equation, then Quadratic Equation will be

(1) 046142 =+xx (2) 046142 =+ xx (3) 046142 =xx (4) 046142 =++ xxAns. (1 )

Sol . 14=+ ... (1)

46= ... (2)

so option (1) is correct

11. In a triangle PQR if )(23 RPRQ +== then value of Q will be

(1) °110 (2) °120 (3) °40 (4) °102Ans. (2 )

Sol . xQ =

thats 3xR = xxP =

3180 180=++ RQP

°=120x xQ = = °120

12. If 33+=

xx

qp

then value of 22

22

qpqp

+ will be

(1) 962x

x(2) 9

62 +x

x(3) 9

122 +x

x(4) 9

122x

x

Ans. (2 )

Sol . Let 4=x , 17=

qp

so qp 7= now 22

22

qpqp

+ = 22

22

4949

qqqq

+ = 2524

at 4=x option (2) will be 2524

4

13. If perimeter of a square is same as that of a rectangle whose length is 24m is double of its breadth then area of square will

be

(1) 2m324 (2) 2m342 (3) 2m224 (4) 2m330

Ans. (1 )

Sol . )(24 bs += 24=

= )36(24s 18=s mtr 22 m324=s

14. If volumes of two cones are in ratio of 2 : 3 and their base radii are in ratio of 1 : 2 then what will be ratio of their heights

(1) 8 : 3 (2) 3 : 2 (3) 4 : 3 (4) 2 : 3

Ans. (1 )

Sol .2

1

22

12

2

1

38

43131

23

hh

hx

hx

vv

===

15. If 182 = yx and 639 = xy their value of yx +

(1) 34 (2) 25 (3) 33 (4) 24

Ans. (3 )

Sol . 33= yx ... (1)

62 = xy ... (2)

Solving Eq. (1) and (2) 9=y and 24=x 33=+ yx

16. If two numbers are such that their defference, their sum and their product are in Ratio 1 : 7 : 24 then product of the two

number is

(1) 48 (2) 44 (3) 54 (4) 38

Ans. (1 )

Sol . xba = ... (1)

xba 7=+ ... (2)

xab 24= ... (3)

from eq. (1), (2) and (3) 48=ab17. The mean of the median, mode and range of the observatinos 7, 6, ,7, 9, 14, 9, 7, 15, is

(1) 8 (2) 9 (3) 10 (4) 7

Ans. (1 )

5

Sol. Mode = 7, median = 8, range = 15 - 6 = 9

so, mean of the median, mode and range = 83

987 =++

18. A person spends 80 % of his income. With increase in the cost of living, his expenditure increased by %2137 and his

income increses by %3216 . His present percent saving is

(1) %5110 (2) %

3112 (3) %

315 (4) %

755

Ans. (4 )

Sol . Let income = x

expenditure = 0.8 x

new income 67x= new expenditure x

1011=

so saving 1011

67 xx=

15x=

so, His present percent saving is = %

75

5100

6715 =x

x

19. The cost of five chairs and three table is 3110/-. If cost of one chair is 210 less than cost of one table. What is the cost

of two tables and two chairs

(1) Rs. 1760 (2) Rs. 1000 (3) Rs.1660 (4) Rs. 1800

Ans. (3 )

Sol . 311035 =+ tc ... (1)

210=ct ... (2)

Solving Eq. (1) and (2) 520=t , 310=c

so 166022 =+ ct

6

20. If

216

115

++

1+= a then value of ‘a’ will be

(1) 6215

(2) 1562

(3) 6114

(4) 1461

Ans. (2 )

Sol .

216

115

++

1+= a

1321

5+

1+= a15135 += a

so 1562=a

21. If 87

of a number is 5 more than its 75

. Then Nine times of number will be

(1) 380 (2) 208 (3) 308 (4) 280

Ans. (4 )

Sol . 575

87 += xx 5659 =x

so, 2809 =x22. If a cone of height 24 cm and base 6 cm melted and reshape into a sphere. Then what will be the total surface area of

sphere

(1) cmSq3 (2) cmSq16 (3) cmSq144 (4) cmSq142

Ans. (3 )

Sol . volume of cone = volume of sphere

32

34246

31 R=

So, R = 6, thus TSA of sphere = 1444 2 =R Sq. cm

7

23. P and Q can do a piece of work in 10 days, Q and R can do some work in 15 days, R and P can do the same work in 20

days. Then in How many days R will complete it alone

(1) 115 days (2) 110 days (3) 130 days (4) 120 days

Ans. (4 )

Sol . 10111 =+

QP ... (1)

15111 =+

RQ ... (2)

20111 =+

PR ... (3)

On solving Eq. (1), (2) and (3) 120=R ,

24. In the following which one is the smallest 33 4,2,2,3

(1) 3 (2) 3 4 (3) 3 2 (4) 2Ans. (4 )

Sol . LCM of powers = 6

taking 6th power of given numbers 321

is the smallestt

25. If P denotes +, Q denotes -, R denotes and S denotes , which of the following statement is correct ?

(1) 36 R 4 S 8 Q 7 P 4 = 10 (2) 16 R 12 P 49 S 7 Q 7 = 200

(3) 32 S 8 R 9 = 160 Q 12 R 12 (4) 8 R 8 P 8 S 8 Q 8 = 57

Ans. (4 )

Sol . Replacing the alphabets by given statements

Option (4) is correct

26. A vessel contains 60 Ltr. of milk, 12 liters of milk is taken out of it and is replaced by water. Then again from the mixtrue

12 liters are taken out and replaced by water. Find the amount of milk left after the operation.

(1) 28.4 Ltrs. (2) 21.6 Ltrs. (3) 36 Ltrs. (4) 38.4Ltrs.

Ans. (4 )

Sol . 12 liters is taken out and replaced by water new ratio is 4 : 1

Now milk is 54

part and water is 51

partt

Now thus, in 12 liters quantity of milk = 54812

54 = Ltr..

So remaining milk = 4.3854848 = Ltrs.

8

27. Select the one which is different from the other three responses.

(1) 15 : 46 (2) 12 : 37 (3) 9 : 28 (4) 8 : 33

Ans. (4 )

Sol . 461315 =+

371312 =+

28139 =+

33148 =+So, option 4 is different

28. In a row of boys A is 20th from left and B is 16th from right, interchange their position, then A becomes 30th from left.

How many boys are there in the row ?

(1) 46 (2) 44 (3) 45 (4) 48

Ans. (3 )

Sol .

20 16

A B

30 16

AB

Now after interchanging the position of A from left = 30 and from right = 16

so, total = 30 + 16 - 1 = 45

29. A 15 cm coloured cube is cut into 3 cm small cubes then how many cubes are formed which have only one face painted.

(1) 54 (2) 64 (3) 44 (4) 84

Ans. (1 )

Sol . Only one Face painted 6)2( 2= n

Now at 5=n , Only one face painted = 54

30. A father tells his son “I was three times of your present age when you were born” if the father’s present age is 48 years,

how old was the boy 4 years ago

(1) 24 years (2) 8 years (3) 12 years (4) 16 years

Ans. (2 )

Sol . Let present age of father = F, and present age of son = S

age of father when son was born = F - S

So F - S = 3S

F = 4S

Thus, 48 = 4S

So, S = 12

So before 4 years son was 8 year old.

9

Direction (Q. 31 - 35) : Find the missing term in the sereis given below :

31. 2, 12, 30, ? , 90, 120

(1) 48 (2) 56 (3) 63 (4) 72

Ans. (NA)

Sol. 221 = , 1243 = , 3065 = , 5687 = , 90109 = , 1321211 =32. 10, 100, 200, 310, ?

(1) 400 (2) 410 (3) 420 (4) 430

Ans. (4 )

Sol . 100 - 10 = 90,

200 - 100 = 100

310 - 200 = 110

x - 310 = 120

Thus, x = 430

33. 0.5, 2, 4.5, 8, 12.5 ?

(1) 16 (2) 17 (3) 16.5 (4) 18

Ans. (4 )

Sol . 2 - 0.5 = 1.5

4.5 - 2 = 2.5

8 - 4.5 = 3.5

12.5 - 8 = 4.5

x - 12.5 = 5.5

Thus, x = 18

34. 109, 74, 46, 25, 11, ?

(1) 3 (2) 0 (3) 11 (4) 4

Ans. (4 )

Sol . 109 – 74 = 35

74 – 46 = 28

46 – 25 = 21

25 – 11 = 14

11 – x = 7

Hence the missing number x is 4

35. 3116,

2111,

??,

74,

32

(1) 116

(2) 95

(3) 119

(4) 137

Ans. (4 )

10

Sol. The subsequent numerators are spaced by +2, +3, +4, +5 and

The subsequent denominators are spaced by +4, +6, +8, +10

Hence the missing value is 7/13

36. There are twelve dozen of apple in a basket. Two dozen are added later. Ten aples got spoil and are removed. Theremaining are transferred equally into two baskets, how many are there is each.

(1) 168 (2) 158 (3) 79 (4) 89

Ans. (3 )

Sol . Initial number of apples in the basket = 12 x 12 = 144

Two dozens more added

So the number of apples become 144 + 24 = 168

10 apples got rotten

Remaining apples = 168 – 10 = 158

Which are equally distributed into two baskets

Therefore each basket has = 158/2 = 79 apples

37. At what time between 8 and 9 will be hands of a clock be together

(1) 40 minutes past 8 (2) 11743 minutes past 8 (3) 11

843 minutes past 8 (4) 111044 minutes past 8

Ans. (2 )

Sol . The relative speed between the minute and the hour hand of a clock is °5.5 per minute.

At 8 o’clock, the angle between them is °240 .

For the hands to be together, the hands must coincide, therefore, the angle of 240° must be covered by them by the

relative speed in time of °° 5.5/)240( per minute

Hence the answer is Option (2)

38. What is the value of A, B and C is the given matrix.

9 A 12

B 10 7

8 C 11

(1) A = 13, B = 11, C = 9 (2) A = 13, B = 9, C = 11 (3) A = 9, B = 11, C = 13 (4) A = 9, B = 13, C = 11

Ans. (4 )

Sol . The sum of the values in each row and each column is 30

So to satisfy the sum, the most appropriate sum is by using the option (4)

39. Simplified value of 3

43

77147

+

++ +n

nn

(1) 98 (2) 100 (3) 99 (4) 97

Ans. (3 )

11

Sol. 7 +3 + 14 × 7 × 7 +3

7 +3

= 7+3(1+14 ×7)

7 +3 = 99

40. If 35tan =x then 22 tan (90 - x) is equal to

(1) 35 + (2) 32 (3) 22

35 +(4) 313+

Ans. (1 )

Sol . tan(90 ) = cot =1

tan

tan = 5 3

Therefore cot = 5+ 322

22tan(90 ) = 22cot = 22 × 5+ 322

= 5 + 3

41. If 321=a and 32 +

1=b then find the value of 22 7117 baba +

(1) 56311 + (2) 561113 + (3) 3511+ (4) 35611+

Ans. (4 )

Sol . By rationalising the denominators of “a” and “b” we get

a = and b =

substituting the values of “a” and “b” in the equation we get

7a2 + 11ab – 7b2 =

42. Two pipes A and B can fi ll a tank in 12 and 15 minutes respect ively. A third pipe C can empty it in

10 minutes. How long wi ll it take to fi l l in the tank if all pipes are opened Simultaniously

(1) 20 minutes (2) 30 minutes (3) 40 minutes (4) 25 minutes

Ans. (1 )

Sol . Let time taken by pipe C be “ ” minutess

Therefore, A, B and C together fill

Solving which we get minutess

12

43. A sum amounts to Rs. 800 at 3 % per annum in a certain time but amount to Rs. 1000 at 5 % per annum in the same time

total sum and time are

(1) Rs. 500, 20 years (2) Rs. 400, 20 years (3) Rs. 550, 20 years (4) Rs. 600, 10 years

Ans. (1 )

Sol . Let the principal be Rs. P and the time be n years.

The interest every year is same

Hence

Solving which we get P = 500

Now at 3% for n years, Amount is Rs. 800, Hence Interest = Rs. 300

Therefore

Hence n = 20 years

44. If a and b are the roots of 0122 =xx then value of 22 abba + is

(1) -2 (2) 2 (3) 1/2 (4) 4

Ans. (1 )

Sol . The sum of the roots is 2

And product of the roots is -1

Hence a2b + ab2 = ab (a + b) = - 1 2 = -2

Direction (Q. 45 - 49) :

The pie chart above describes the characterstics of Indian visiting UK from various states during a given years.

Answer the following questinos given below :

Assume that the age wise distribution data aplies to all states and that in the given year 1,00,000 Indian visited UK

Below 20years60 %

Below 40years20 %

20 - 40 years20 % Karnataka

60 %

15 %Others

West Bengal20 %

Maharashtra 5 %

45. Number of visitors from Karnatka in the age group of 20 - 40 years

(1) 20000 (2) 18000 (3) 12000 (4) None of these

Ans. (3 )

Sol . = 60% 0f 20% of total population

13

46. Number of visitors from Maharashtra below the age of 20 years

(1) 3000 (2) 5000 (3) 60000 (4) 8000

Ans. (1 )

Sol . = 5% of 60% of total population

47. How many visitors were below 20 years of age but were neigher from Karnataka, nor Maharashtra or West bengal ?

(1) 7000 (2) 15000 (3) 9000 (4) 6000

Ans. (3 )

Sol . = 15% of 60% of total population

48. The ratio of visitors from West Bengal below 20 years to visitors from Maharashtra above 40 years in

(1) 1 : 3 (2) 12 : 1 (3) 3 : 4 (4) 3 : 1

Ans. (2 )

Sol . 60% of 20% of total population : 20% of 5% of total population

49. Find the difference between visitors from West Bengal and Maharashtra in the age group of 20 - 40 years

(1) 4000 (2) 6000 (3) 3000 (4) 8000

Ans. (3 )

Sol . 15% of 20% of total population

50. The number of ways in which 6 students can be seated at a round table is

(1) 720 (2) 120 (3) 410 (4) 350

Ans. (2 )

Sol . N different students can sit on a round table in (N – 1)! Ways

Hence 6 students can sit on a round table in 5! Ways = 120 ways.

51. What letter will come next in the following series ?

A B C D E F G Z Y W U V T B C D E F Y X W V U C D E X W V R

(1) A (2) V (3) B (4) Z

Ans. (NA)

Sol.

52. Among P, Q, R, S and T each secured different marks, Q scored higher then T only and P secored higher than S but lower

then R. Who among them scored highest marks

(1) P (2) S (3) R (4) T

Ans. (3 )

Sol . Since each student has scored different marks, the order in which they have scored marks (highest to lowest) is R, P, S,

Q, T.

Direction (Q. 53 - 56) : Study the following series carefully and answer the questions given below :

7 M 4 P % J V 1 K 3 @ E W 2 Q C 6 T A * 8 Z 1 5 $ F U # 9 H N

53. Which of the following is the sixth to the left of ninteenth from the left end of the above arrangement

(1) $ (2) T (3) W (4) 2

Ans. (3 )

Sol . Count the 13th element from the left to get the correct answer as W

14

54. How many such consonents are there in the arrangement, each of which is immediately preceeded by a symbol and

immediately followed by 2 numbers ?

(1) four (2) one (3) two (4) three

Ans. (NA)

Sol. There is no such consonant as described in the question. The correct answer must be ZERO.

55. If all the symbols are dropped from the above arrangement then which of the following will be twelfth from the right end.

(1) Q (2) 6 (3) 2 (4) T

Ans. (2 )

Sol . Ignoring all the symbols, count the elements from the right to find the correct answer as 6.

Direction (Q. 56 - 60) : Study the following information carefully to answer these questions.

Seven friends A, B, C, D, E, F and G perform in stage shows on a different day from Monday to Sunday not necessarily

in the same order. Each one performs a different item viz music, speech Dance, Mimicry, Play, Debate and monologue, not

necessarily in the same order. B performs play on Thursday and E performs Music on Sunday. G performs mimicry but

not the next day of G’s performance. D performs on Monday but not the next day of G’s performance. D performs on

Monday but not Dance or Debate. A performs Monologue which is on the next day of speech. Dance is not performed on

Saturday.

56. Who performs Dance ?

(1) C (2) F (3) D (4) A

Ans. (2 )

Sol. for Quest ion 56 to 60

A Tuesday Monologue

B Thursday Play

C Saturday Debate

D Monday Speech

E Sunday Music

F Wednesday Dance

G Friday Mimicryy

Hence Answers are

57. Which item is performed by D and on what day ?

(1) Mimicry - Monday (2) Music - Tuesday (3) Play - Wednesday (4) Speech - Monday

Ans. (4 )

Sol . as per Q. no. 56

58. A performs on which day of the week ?

(1) Tuesday (2) Wednesday (3) Friday (4) Saturday

Ans. (4 )


15

59. G performs on which day of the week

(1) Wednesday (2) Saturday (3) Tuesday (4) Friday

Ans. (1 )


60. Who performs in debate ?

(1) B (2) D (3) F (4) C

Ans. (4 )


Direction (Q. 61 - 63) : The venn diagram given below is about a small town having population of 500 psersons. The square

represents persons from urban area, the circle represents working persons, the triangle represents women and the rectangle

represents educated persons. Number written are number pf persons.

61. What is the number of non-working females ?

(1) 167 (2) 57 (3) 17 (4) 80

Ans. (3 )

Sol . for 61 to 63

The total number of people in town = 500

Subtracting the total sum of the values from 500 we get Urban uneducated people as 177.

the number of non working females are the ones in the triangle not in the circle = 17

62. If urban population in 350, what is the number of non-educated non wrking urban women.

(1) 0 (2) 9 (3) 10 (4) 20

Ans. (1 )

Sol . the number of non educated urban women is 10, which are also employed. So the non-educated urban women who are

un-employed is 0.

63. What is the number of urban male who are educated but not working ?

(1) 30 (2) 40 (3) 50 (4) 110

Ans. (2 )

Sol . of the total urban educated people, if we remove the women (triangle), we get the number of educated urban males = 40,

who are not working.

16

64. In the matrix below, the numbers in the cells follow some rules. Identify the number which when substituted from (?)

maintains the same rule ?

7 12 ?

21 27 35

7 14 23

(1) 18 (2) 19 (3) 17 (4) 16

Ans. (2 )

Sol . Bottom most row 7 (+7) = 14, 14 (+9) = 23

Middle row 21 (+6) = 27, 27 (+8) = 35

Top row 7 (+5) = 12, 12 (+7) = 19

Hence Answer is 19.

Direction (Q. 65 - 67) : In the table given below, there are two columns, column I and column II. Four words are written in

column I in column II, Equivalent codes are used for these words. For each of the four words, four different patterns are used.

Identify the pattern in the questions given below and choose the correct option.

Column II

Sr. No. Word Code Equivalent

A CHAIR YDWEN

B PHONE SKRQH

C TROUPE GILFKV

D TOURIST WLXOLPW

Column I

65. If ‘JUDGE’ is coded as ‘MXGJH’ the code pattern followed is Serial number :

(1) A (2) B (3) C (4) D

Ans. (2 )

Sol . J + 2 = M

U + 2 = X

D + 2 = G

G + 2 = J

E + 2 = H

same pattern is following in option 2 as so Sr. No. B is correct

66. If ‘EMPLOY’ is coded as ‘AILHKU’ the code pattern folowed is Serial Number

(1) A (2) B (3) C (4) D

Ans. (1 )

17

Sol. E - 4 = A

M - 4 = I

P - 4 = L

L - 4 = H

O - 4 = K

Y - 4 = U

same pattern is following in option 1 as so Sr. No. A is correct

67. If ‘JOURNAL’ is coded as ‘QLFIMZQ’ the code pattern followed is serial number -

(1) A (2) B (3) C (4) D

Ans. (NA)

Sol. A B C D E F G H I J K L M Row. (1)

Z Y X W V U T S R Q P O N Row (2)

Interchange row (1) and row (2) elements in given word like J replaced with Q just below it.

But, from row (1) L and row (2) Q not following the pattern.

Direction (Q. 68 - 70) : Eight person A, B, C, D, E, F, G, H are sitting around a circular table facing the center, B is sitting

second to tghe left of G, who is sitting third to the right of F. Only E is sitting between A and C. C is sitting thrid to the left of

B. Only one person is sitting between E and H. Now answer the following questions.

68. Which of the following is the correct order of seating of persons to the right of A.

(1) ECHDGBF (2) ECHFBDG (3) EBHDCFG (4) CHBEDGF

Ans. (2 )

Sol .

A

B

C

D

E

F

G

H

69. Who is sitting third to A on its left side.

(1) B (2) H (3) D (4) F

Ans. (1 )

Sol . From above figure Qustion no. 68

70. Who is seating exaclty in from of A.

(1) B (2) C (3) H (4) F

Ans. (4 )

Sol . From above figure Qustion no. 68

18

71. If % means +

@ means -

^ means

means

Then the value of

9^63%25@87^42 is :

(1) - 10 (2) 14 (3) - 20 (4) 30

Ans. (NA)

Sol. 75.578963258742 =+Answer is not in option

72. Arrange the following words in the sequence in which they occur in the dictionary, then choose the correct option.

(i) BHAGWAN (ii) BHAGWAT (iii) BHAGIRATH (iv) BHAGAT

(1) iv, i, iii, ii (2) iv, ii, i, iii (3) iv, iii, ii, i (4) iv, iii, i, ii

Ans. (4 )

Sol . BHAGAT

BHAGIRATH

BHAGWAN

BHAGWAT

73. R is the brother of S and M is the Father of R, J is brother of P and P is daughter of S. What is the relationof P with M.

(1) Grand Daughter (2) Niece (3) Aunty (4) Sister

Ans. (1 )

Sol . M

R S

P J

Father

Daughter

Brother

Brother

74. If Z = 52 and ACT = 48 then BAT is eequal to

(1) 39 (2) 44 (3) 46 (4) 50

Ans. (3 )

Sol . Using alphabetical Numbering like A = 1, B = 2, ...., Z = 26

Z = 26 2 = 52

ACT = 1 + 3 + 20 = 24 2 = 48

BAT = 2 + 1 + 20 = 23 2 = 46

19

75. If 20 * 3 = 180 and 4 * 5 = 100 then value of 7 * 7 is

(1) 21 (2) 49 (3) 343 (4) 7

Ans. (3 )

Sol . 20 23 = 180

4 25 = 100

7 27 = 343

76. How many points will be on the face opposite to the face which contains two points.

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

Ans. (1 )

Sol .

Clearly opposite two dots are six dots.

77. How many minimum line segment required to drawn the given figure ?

(1) 16 (2) 17 (3) 18 (4) 19

Ans. (NA)

Sol. By visualization only

78. A piece of paper is folded as shown in figure and then punched :

Choose the correct option from the anser figure which appears the same when unfolded.

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

20

Ans. (1 )

Sol . By visualization only

79. A mirror is placed vertically as shwon in the figure. Choose the correct option for mirro image

SUPER - 609(1) SUPER - 609 (2) SUPER - 6 09(3)

6

0

9

SUPER - (4) SUPER 6 09Ans. (3 )


80. Each vowel in the word KILOMETER is replaced by the previous letter in the english aplhabet and each consonant is

replaced by the next letter in the English alphabet, then the substituted letters are arranged in alphabatical order, which

will be the fifth from the left end ?

(1) D (2) L (3) M (4) N

Ans. (4 )

Sol . by following the above pattern

K = L, I = H, L = M, O = N, M = N, E = D, T = U, E = D and R = S.

81. The black star moves one position at a time anti-clock wise. the white star moves two positions at a time clockwise. In

how many moves will they be together again ?

A

BC

D

EF

(1) 4th (2) 6th (3) 8th (4) 10th

Ans. (2 )

Sol . When black star takes two move anticlockwise and white star takes two moves (4 places) clockwise in same time

thus they meets at the point F in total six steps.

82. Which of the given nett from the answer options when folded will results in the given cube ?

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

Ans. (2 )

21

Sol. In the given dies adjacent faces are shown.

So option (1), (3) and (4) are wrong.

83. Which of the alternatives will complete the figure ?

(1) iii (2) i (3) ii (4) iv

Ans. (NA)

Sol. No option is compliting the given figure symmetrically.

Direction (Q. 84 - 85) : Count the number of cubes in the given figure of each questions and choose correct answer out of

four alternative.

84.

(1) 64 (2) 68 (3) 66 (4) 70

Ans. (2 )

Sol . Number of cubes in upper most cube = 20

Number of cubes in middle most cube = 28

Number of cubes in lower most cube = 20

So total number of cubes = 68

85. The number of squares on a chess board is

(1) 203 (2) 204 (3) 205 (4) 206

Ans. (2 )

Sol . 2041....78 222 =+++

22

Direction (Q. 86 - 87) : A net is given which can be folded into a figure. Choose the correct alternative which can be made

from the net.

86. Question Figure

Answer Figure

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

Ans. (NA)


87. Question Figure

Answer Figure

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

Ans. (4 )


As in Net image both cross sign are opposite to each other.but in option (1),(2) and (3) they are shown adjacent so they

are wrong and option (4) is correct.

23

Direction (Q. 88 - 89) : In each of the following questions figure (x) is embedeled in any one of the four alternative digures

(1) (2) (3) and (4). Find the alternative which contains figure (x) as its part.

88.

Ans. (4 )


89.

Ans. (NA)


90. How many rectangles does the following figure have ?

(1) 10 (2) 12 (3) 13 (4) 14

Ans. (4 )


24

91. How many squares are there in the given figure ?

(1) 11 (2) 17 (3) 13 (4) 16

Ans. (2 )


Direction (Q. 92 - 94) : In each of the following questions, figure A and B are related. Find the figure from figure (1), (2), (3)

and (4). Which has same relatinioship with figure C.

92. Question figure

Answer figures

Ans. (NA)


93. Question figure

Answer figures

Ans. (4 )


25

Direction (Q. 94 - 96) : In each of the following questions choose the correct water image of figure (x) from the four

alternatives (1), (2), (3) and (4).

94.

Ans. (NA)


95.

Ans. (3 )


96.

Ans. (NA)


Direction (Q. 97 - 98) : In each of the following questions, you have figure (x) followed by four alternative figurs (1), (2), (3)

and (4) such that figure (x) is embedded in one of them. Trace out the alternative figure, which contains figure (x) as it’s

part.

97.

Ans. (4 )


98.

Ans. (4 )


26

Direction (Q. 99 - 100) : Select a figure from the four alternatives, which when placed in teh black space of gireu (x0 would

complete the pattern.

99.

Ans. (2 )


100.

Ans. (4 )


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TM NATIONAL TALENT SEARCH EXAMINATION · 2018-11-05 · The cost of five chairs and three table is 3110/-. If cost of one chair is 210 less than cost of one table. What is the cost