DATE : 05/11/2017 KARNATAKA

Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-110005

Ph.: 011-47623456 Fax : 011-47623472

Time : 3 Hours
Answers & Solutions Max. Marks : 200

for
NTSE (Stage-I) 2017-18
INSTRUCTIONS TO CANDIDATES
1. Use blue/black ball point pen only. There is no negative marking.
2. This test booklet contains 200 questions of one mark each. All the questions are compulsory.
3. Part-I : MAT : 1 - 50 questions
Part-II : Language : 1 - 50 questions
Part-III : SAT : 1 - 100 questions
4. Answer each question by darkening the one correct alternative among the four choices on the OMR Sheet
with blue/black ball point pen.

Example :
Q. No. Alternatives
Correct way : 1 1 2 4
Q. No. Alternatives
Wrong way : 1 1 2 3 4

Student must darkening the right oval only after ensuring correct answer on OMR Sheet.
5. Disparity in mentioning (SC, ST & PH) in application form and OMR Sheet can make your candidature
invalid.
6. Students are not allowed to scratch/ alter/ change out an answer once marked on OMR Sheet, by using
white fluid/ eraser/ blade/ tearing/ wearing or in any other form.
7. Separate Sheet has been provided for rough work in this test booklet.
8. Please handover the OMR Sheet to the invigilator before leaving the Examination Hall.
*Take all your question booklets with you.
9. Darken completely the ovals of your answers on OMR Sheet in the time limit allotted for that particular
paper.
10. Your OMR Sheet will be evaluated through electronic scanning process. Incomplete and incorrect entries
may render your OMR Sheet invalid.
11. Use of electronic gadgets, calculator, mobile etc., is strictly prohibited.

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 NTSE (S-I) 2017-18

PART-I : MENTAL ABILITY TEST (MAT)

1. In the given equation which set of signs among the 4. W hich number in col umn-I f oll ows the rule
alternative replace the symbols  and  respectively (4n3 + 4n)?
to make it meaningful ? (1) 120 (2) 150
(1)  and  (2)  and  (3) 180 (4) 200·.
Answer (1)
(3)  and + (4)  and +
Sol. f(n) = 4n3 + 4n
Answer (4) If n = 3; f(n) = 4 × 27 + 12
Sol. 93  63  21 – 23  43 = 110 = 108 + 12 = 120
93  3 – 23  43 = 110 Questions (5 – 6):
If  = – and  = + then Directions: Find the correct water images for the following
93 – 3 – 23 + 43 = 110 is correct problem figures from the given alternatives.
5.
LHS = RHS
2. W hich one of the f ollowing equations is not
meaningful by substituting the set of mathematical
signs  , , ,   sequentially in them?

(1) 10 * 14 * 5 * 160 * 2
(2) 14 * 16 * 3 * 180 * 3
(3) 12 * 15 * 4 * 144 * 2
(4) 16 * 18 * 2 * 156 * 3 (1)
Answer (2)
Questions (3 to 4)
Direction: Compare column-I and column-II to answer the
given questions:
Column-I Column-II
(i) 120 (2)
a. 10n2 + 10n

(ii) 150 b. 3n3 + 3

(iii) 180 c. 2n2 + 2n

(iv) 200 d. n3 + 3n (3)

e. n2 + n2/2
f. 4n3 + 4n
3. Which one of the given rules in column-II the number
200 follows? (4)
(1) 2n2 + 2n (2) 3n3 +3
(3) 10n2 + 10n (4) n3 + 3n
Answer (3) Answer (2)
Sol. f(n) = 10(n2) + 10n
If n = 4
f(n) = 10(4)2 + 10 × 4 = 200

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 NTSE (S-I) 2017-18

9. How many hexagons are in the given figure?

6.

(1) 11 (2) 13
(3) 15 (4) 17
(1) (2) Answer (3)
10. How many parallelogram are there in the given
figure?

(3) (4)

Answer (3)
7. A cube of side 4 cm is painted with blue colour. It
is cut into smaller cubes of 1 cm. Then, how many (1) 17 (2) 19
smaller cubes have paint on atleast one face?
(3) 20 (4) 21
(1) 56 (2) 48
Answer (2)
(3) 36 (4) 24
Questions (11 – 13):
Answer (1)
Directions: In the given questions there are four groups
Sol. When cube of 4 cm is cut into cube of 1 cm side of number / pairs of numbers / group of letters of which
then total no. of cube formed = 64. three are alike and one is different. Find the one which
Out of 64 cubes 8 cubes are completely inside and is different?
are not coloured at all. So total no. of cubes with 11. (1) 5 3 9 (2) 6 7 9
one side painted atleast are 64 – 8 = 56.
(3) 7 4 9 (4) 8 2 9
Questions (8 – 10):
Answer (1, 2 & 4) All can be correct
Directions: Identify the number of specified geometric 12. (1) 96, 56, 12 (2) 154, 63, 14
shapes in the given diagrams and mark the correct
answers. (3) 208, 91, 16 (4) 252, 98, 18

8. A figure of an object is given. Identify the number of Answer (2)

surfaces of the object. Sol. In only option (2) all the numbers are divisible by 7
 14 
  7
 2 
In other options at least one number is not divisible
 12   16  18
by either 6  , 8   , 9  
 2 2
   2
13. (1) A S D W F Z
(2) E O I R L V
(1) 10 (2) 12 (3) M Y J Q B N
(3) 13 (4) 14 (4) K T C X G P
Answer (4) Answer (1)
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 NTSE (S-I) 2017-18

A B C D E F G H I J
Sol. Z Y X W V U T S R Q

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

E O I R L V
Answer (3)
First and last letter is placed in pattern except in 18. Pramod and Praveen are the sons of Prakash.
option (1). (equidistant from both the ends)
The present age of Prakash is 4 times the age of
Questions (14 – 17): Pramod and 6 times the age of Praveen.
Directions: Complete the following number/ figural series If the sum of their ages is equal to 51 years, the
by choosing the correct answer from the given present ages of Pramod and Praveen respectively
alternatives. are :

14. 98, 75, 54, ?, 18, 3 (1) 9 years, 6 years (2) 6 years, 9 years
(3) 9 years, 4 years (4) 12 years, 6 years
(1) 45 (2) 38
Answer (1)
(3) 35 (4) 23
Sol. Let Prakash age = x
Answer (3)
x
Sol. 98, 75, 54, ?, 18, 3 Pramod age =
4
Difference 23 21 19 17 15
x
Difference 2 2 2 2 Praveen age =
6
54 – 19 = 35 x x
x    51
15. 0, 1, 4, 15, 64, … ? 4 6
(1) 275 (2) 325 x = 36
(3) 365 (4) 435 Pramod = 9 years
Answer (2) Praveen = 6 years

Sol. 1 × 0 + 1 = 1 Questions (19 – 23):

2×1+2=4 Directions: Complete the given number / letter /

figure analogy by choosing the correct answer from
3 × 4 + 3 = 15 the given alternatives.
4 × 15 + 4 = 64 19. 18 : 289 : 272 : : ? : 169 : ?
5 × 64 + 5 = 325 (1) 19, 342 (2) 17, 306
(3) 14, 210 (4) 14, 156
Answer (4)
16. ?
Sol. 18 : 289 : 272
172  289
17 + 1  18
289 – 17 = 272
(1) (2) (3) (4) 132  169
13 + 1  14
Answer (4) 169 – 13  156
20. 66 : 400 : : 166 : …?
17. ? (1) 800 (2) 1000

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(3) 1200 (4) 1400 Number of sides of Hexagon

3=
Answer (2) 2
Sol. 66 × 6 + 4 Direction: Find the wrong number in the given series.
396 + 4 = 400 24. 200, 300, 500, 900, 1800, 3300

166 × 6 + 4 (1) 3300 (2) 1800

(3) 900 (4) 500
996 + 4 = 1000
Answer (2)
21. SAMOHT : SINNZT : : RELHEM:?
Sol. Differences
(1) L F G M D S (2) L F I M D S
200 300 500 900 1800 3300
(3) S F M I F N (4) R D K G D L x 2x 4x 8x 16x
Answer (1) where x = 100

+1
2×2–1=3
+1
3×2–1=5
Sol. S A M O H T : S I N N Z T
–1 5×2–1=9
–1
9 × 2 – 1 = 17 — written 18
+1
+1
17 × 2 – 1 = 33
RELHEM : LFGMDS 25. Direction: Take the given statements as true and
–1
–1 decide which of the conclusions logically follow from
the statements.
Statements:
(1) Some cows are horses.
22.
(2) Some camels are goats.
(3) All goats are horses.
Conclusions:
I. Some cows are not horses.
II. Some horses are not goats.
III. Some camels are horses.
(1) (2) (3) (4) IV. All horses are camels.
Answer (4) (1) Conclusions I, II and III only follow
Sol. All elements get diagonally interchanged. (2) Conclusions II, III and IV only follow
(3) Conclusions I and II only follow
(4) Conclusions III and IV only follow
23. Answer (1)
Sol.
Camels
Cows

Goats

Horses

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

Answer (3)
Sol. Number of sides of polygon = 7 – 1 = 6
Outside = 3 curves out & 3 curves in + 1 stright Questions (26 – 27):
A high school in Belagavi has 800 students.
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 NTSE (S-I) 2017-18

The numbers of students who are studying different 30.

languages in the school are represented by
intersecting circles. Find the answers to the given
questions by studying the figure.

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

Answer (1)

26. How many students are studying only two languages 31.
Kannada and Sanskrit?
(1) 10 (2) 20
(3) 30 (4) 40
Answer (2)
27. How many students are studying only three
languages Kannada, English and Hindi?
(1) 30 (2) 40
(3) 50 (4) 60
(1) (2) (3) (4)
Answer (3)
Answer (4)
Sol. S = 4
32. What are the least number of ducks that could swim
P=8 in the following formation?
R=7 (A) Two ducks infront of a duck
28. When (PQRS) is multiplied by S, the product is (B) Two ducks behind a duck
(3 S Q 9 Q) If the value of Q is 6, the values of P (C) A duck between two ducks
and R respectively are :
(1) 11 (2) 7
(1) 7 and 3 (2) 2 and 5
(3) 5 (4) 3
(3) 9 and 8 (4) 8 and 7
Answer (4)
Answer (4)
33. Using the giv en Matrix f ind the v alue of
29. If,
APPLE
+ BALL
APE
____________
47958
The code for PEBBLE is :
(1) 2 3 4 4 1 3 (2) 1 3 6 6 2 3
(3) 3 1 2 2 6 1 (4) 1 2 3 3 6 2
Answer (2)
Sol. 41123 + 6422 + 413 = 47958
Directions: Find the missing part of the given figure from (1) 18 (2) 19
the alternatives.

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 NTSE (S-I) 2017-18

(3) 20 (4) 21 as follows:

Answer (2)
Sol. Let

=x

=y
Identify the correct figure from the given alternatives,
when the cube is unfolded.
=z

Column 1 : Sum 2x + y = 9 ……(I)

Row 1 : Sum x = 2y = 12 ……(II)
y = 5 (1) (2) (3) (4)
Column 2 : Sum 2z + y = 23 Answer (3)
Put y = 5 36. When the problem figure is folded into a cube, which
z=9 of the following cubes will be formed?

+ + = y + y + z = 5 + 5 + 9 = 19

34. In the given Matrix find the missing section.

(1) A and C only (2) B and D only

(3) A only (4) D only
Answer (1)
(1) (2)

(3) (4)

Answer (4) 37. Which one of the following relations are represented
Sol. 18 by the above Venn Diagram?
+2 (1) Doctors, Engineers, Professors, Businessman
20 (2) Professors, Engineers, Doctors, Industrialists
–1
19 (3) Lawyers, Doctors, Engineers, Professors
+2
(4) Doctors, Surgeons, Professors, Engineers
21
Answer (4)
35. The three pairs of opposite faces of a cube are given

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Questions (38 – 39) 41. Find the missing lettersw in the given Matrix.
In a school 90 students play different kinds of
games.
Among them,
(a) 15 play Cricket, Hockey and Football
(b) 15 play Cricket and Football only
(c) 10 play Hockey and football only
(d) Totally 30 play only two kinds of games
(e) Equal number of students play only on of the
games.
38. Find the number of students who play Hockey and
Cricket only.
(1) 5 (2) 10
(1) S, G, N (2) R, Q, X
(3) 15 (4) 20
(3) R, O, N (4) Y, P, G
Answer (1)
Sol. Total = 90 Answer (3)
3x + 5 + 10 + 15 + 15 = 90
3x = 90 – 45 Sol.
G C X ?R
45
x=  15 C Y T+1 N
3 H C X T ?M I Same
x 5 x
R ?N I C
10 15 15

F 42. Find the missing letters in the given Pattersn

39. Find the number of students who play cricket. (1) A, M (2) V, E
(1) 40 (2) 45 (3) F, Q (4) T, P
(3) 50 (4) 55
Answer (3)
Sol. Number of students who play cricket
= x + 5 + 15 + 15
= 15 + 5 + 15 + 15 = 50
40. A square shaped paper is folded as shown and
punched. The problem figure shows the paper when
unfolded. Which among the alterntives indicates the
position of the puch made when it was folded?

Answer (1)
Sol.
D G L S B
+2
+4 +6 +8 +10
(1) (2) (3) (4) M
C Y S K A
Answer (2) –3 –5 –7 –9

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 NTSE (S-I) 2017-18

43. A person starts from a place A and moves towards

North. He then turns to South east direction and 46.
moves. Again he turns towards North and moves for
sometime. He then turns to his left and moves.
After sometime he turns to South-east and moves.
Finally he moves in the west direction and rests at
G. Which of the option figures indicates his complete
movement?

(1) 18, 151 (2) 18, 169

(1) (2) (3) (4) (3) 21, 171 (4) 21, 189

Answer (4) Answer (3)

44. A motor cyclist moves from a place A to B in East Sol. 2 × 3 – 1 = 5

direction. From B he turns to left and moves for 2 × 5 + 1 = 11
2 km. He then takes a right down and rides for
2 × 11 – 1 = 21
1.5 km. Again he turns right and moves for 2 km. He
then takes a left turn and rides for 2.5 km and 2 × 21 + 1 = 43
stops. If he is distance of 7 km from starting place 2 × 43 – 1 = 85
A, find the distance between A and B. 2 × 85 + 1 = 171
(1) 2.5 km (2) 3 km 2 × 171 – 1 = 341
(3) 4 km (4) 1 km Questions (47 – 48):
Answer (2)
Directions: The given problem figure has one or more
dots. Observe the dot positions and identify the option
1.5 km
figure which is exactly suitable to keep the dots with the
2 km 2 km 2.5 km same conditions.
Sol. A B
7 km

Questions (45 – 46):

Directions: In the questions below the numbers in the 47.
figures are related. Identify their relationship and find the
missing numbers in the given figures.

45.

(1) 20 (2) 18 (1) (2)

(3) 16 (4) 14
Answer (1)
Sol. Sum of even – sum of odd = central number
(26 + 24) – (17 + 11) = 22
(28 + 18) – (21 + 19) = 6 (3) (4)
(28 + 30) – (15 + 23) = 20 Answer (2)

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50. A set of two figures is given as problem figure. Find

which one of the option figures is formed, when the
upper figure is superimposed on the lower one.
48.

(1)

(2)

(1)

(3)

(2)

(4)

Answer (4)
49. The average body weights of 4 men A, B, C and D
is 50 kg.
Decide whether the data given in the statements I, (3)
II and III are sufficient to find the individual body
weights of B and D
I. The weight of A is 65 kg and of C is 45 kg
II. The sum of the weights of B and D is 90 kg
III. D has the least weight compared to A, B and C
(1) Data in I and II are sufficient
(4)
(2) Data in II and III are sufficient
(3) Data in I, II and IIII are suficient
(4) Data in I, II and III are not sufficient Answer (1)
Answer (4)
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 NTSE (S-I) 2017-18

PART-II : LANGUAGE COMPREHENSIVE TEST

Questions (1-5) : Read the following passage and 4. The crowd was protesting against
answer the questions given below : (1) The misdoings of Thimonier
The crowd surged forward through the narrow streets (2) The closure of workshops
of Paris. There was a clatter of shutters being closed (3) Thimonier keeping the Invention a secret
hastily by trembling hands - the citizens of Paris (4) The newly invented sewing machine
knew that once the fury of the people was excited Answer (4)
there was no telling what they might do. They came
5. The passage throws light on
to an old house which had a workshop on the ground
floor. A head popped out of the door to see what it (1) What mischief an inventor can do to ordinary
people
was all about. ‘Get him ! Get Thimonier! Smash his
devilish machines!’ yelled the crowd. (2) How dangerous an invention can prove to be
(3) Why inventions should be avoided altogether
They found the workshop without its owner. M.
Thimonier had escaped by the back door. Now the (4) How a well-meant inv ention can be
misunderstood
f ury of the demonstrators turned against the
machines that were standing in the shop, ready to be Answer (4)
delivered to buyers. They were systematically broken Questions (6-10): Read the following passage and answer
up and destroyed - dozens of them. Only when the the questions given below :
last wheel and spindle had been trampled under foot It Is generally acknowledged that children learn a lot
did the infuriated crowd recover their senses. from their parents. It is not so commonly admitted
that parents learn a great deal from their children. As
'That's the end of, M’sieur Thimonier and his sewing adults, it is easy to assume that we are always right,
machines’, they said to one another and went home but the laugh was on me one beautiful day.
satisfied. Perhaps now they would find work; for they
My daughter Kashmira knew how much I loved
were all unemployed tailors and seamstresses who flowers. One day when she was nine years, she
believed that their livelihood was threatened by that picked some branches f rom our neighbour’s
new invention. blossoming fruit tree. Realising she intended to
1. Shutters were being closed hastily because the please me, I didn’t scold her, but chose a different
shopkeepers approach.
‘’These are lovely, dear, but do you realise that If you
(1) wanted to attack the crowd
had left them on the tree, each of these blossoms
(2) feared their shops would be invaded would have become a cherry ?”
(3) wanted to show their solidarity with the crowd “No, they wouldn’t have”, she said firmly. “Oh, yes,
they would have each of these blossoms would have
(4) wanted to protect Thimonier
grown into a cherry”.
Answer (2) “Well okay, mother, if you insist”, she f inally
2. The people thought that conceded, “but they were plums last year”.
(1) Their lives were in danger 6. What Is not commonly acknowledged is that
(1) children learn a lot from their parents
(2) The sewing machines were dangerous
(2) parents teach their children a great deal
(3) Thimonier was depriving them of their livelihood
(3) parents learn a great deal from their children
(4) Thimonier was mad (4) children learn a great deal inspite of their parents
Answer (3) Answer (3)
3. The aim of the crowd was to 7. What the daughter picked from the neighbour’s
garden were some
(1) kill Thimonier
(1) branches
(2) drive Thimonier away
(2) flowers
(3) bring discredit to Thimonier (3) branches with fruit
(4) scare Thimonier (4) branches with blossoms
Answer (1) Answer (4)

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 NTSE (S-I) 2017-18

8. The mother did not scold the daughter because Like one in danger, cautious,
(1) she loved flowers I offered him a crumb,
(2) she decided to indirectly make her daughter And he unrolled his feathers,
realise her mistake And rowed him softer Home-
(3) she liked cherry blossoms Than Oars divide the Ocean,
(4) she did not understand why her daughter had Too silver for a seam,
done so
Or Butterflies, off Banks of Noon,
Answer (2)
Leap, plashless as they swim.
9. “The laugh was on me” means that
11. The poet called the grass ‘convenient’ because
(1) the mother was caught in the wrong
(1) the bird could see the beetle in the grass
(2) the daughter was wrong
(2) grass is greener on the other side
(3) people laughed at the mother
(3) the bird could see the worm in the grass
(4) the mother laughed at herself
(4) It was easy for the bird to have dew from it
Answer (1)
Answer (4)
10. Ultimately the daughter
12. The poet describes the eyes of the bird like this
(1) proved that she had not picked the branch with
(1) like frightened beads
the blossom
(2) watery like dew
(2) reminded her that she loved flowers
(3) like grass
(3) reminded her that the branch with blossoms was
from a plum tree (4) Like butterflies
(4) proved that those blossoms would not yield any Answer (1)
fruit 13. Which of the following is a metaphor?
Answer (3) (1) A bird came down the walk
Questions (11 - 15): Read the following poem and answer (2) He stirred his velvet Head
the questions given below:
(3) He bit an angle worm In halves
A Bird Came Down The Walk
(4) And then hopped sideways to the wall
Emily Dickinson
Answer (2)
14. The antonyms for 'careless', 'cooked', 'courageous'
A Bird, came down the walk and 'slow' is
He did not know I saw (1) Convenient, raw, frightened, rapid
He bit an Angle worm in halves (2) Cautious, hurried, frightened, rapid
And ate the fellow, raw. (3) Cautious, raw, hopped, rapid
And then, he drank a Dew (4) Cautious, raw, frightened, rapid
From a convenient Grass- Answer (4)
And then hopped sidewise to the wall 15. The bird did not do which of the following?
To let a Bettie pass- (1) Let the beetle pass
He glanced with rapid eyes, (2) Unroll his feathers
That hurried all abroad- (3) Cook the worm and eat it
They looked like frightened Beads, I thought, (4) Glance with rapid eyes
He stirred his velvet Head - Answer (3)

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 NTSE (S-I) 2017-18

Question (16 - 17) : The following has six sentences from Question (18 - 19) : In the following questions the second
a paragraph. The first and the last sentences are given. sentence is missing. Choose the appropriate sentence
Choose the order in which the four sentences (P, Q, R, S) from the given options to complete it.
should appear to complete the paragraph. 18. A. Go to the library and see the clerk
16. S1 There is a touching story of Prof. Hardy visiting B. ....................................................................
Ramanujan as he lay desperately ill in hospital at C. Then you are usually given two or three tickets
Putney. with your name and address on them.
S2 ....................................................................... (1) He stamps the books with a data.
S3 ....................................................................... (2) The clerk keeps the tickets until you return the
S4 ....................................................................... books.

S5 ....................................................................... (3) You will have to sign a form promising to take

care of the books.
S6 It is the lowest number that can be expressed in
(4) When you have chosen the books you wish to
two different ways as the sum of two cubes.
take home, you take them to the clerk with the
P: 'No Hardy, that is not a dull number in the very tickets.
least'.
Answer (3)
Q: The number was 1729. 19. A. If we dump sewage into a stream, on a small
R: The best he could do, as he got beside was "I scale, the stream dissolves It and purifies it.
say Ramanujan, I thought the number of taxi I B. ....................................................................
came down in, was a very dull number".
C. But if we dump large quantities of sewage, we
The proper sequence should be end by killing the purifying bacteria and then the
(1) PRSQ (2) RQSP stream will lose its power to purify.

(3) SQRP (4) QSRP (1) Ten miles downstream the water is pure again.
(2) It can no longer deal with the small quantity of
Answer (4)
sewage which it once accepted.
17. S1 Once King Shanthanu met a young and beautiful
(3) For this overwhelming kind of pollution we need
fisher girl.
a new term.
S2 ....................................................................... (4) This system is a great headache now a days.
S3 ....................................................................... Answer (1)
S4 ....................................................................... Question (20 - 27) : Choose the word which best fills the
S5 ....................................................................... blank from the four options given:
S6 Devavrata the King's son, asked him the reason 20. His opponents launched a political __________
of his sadness. against him.

P: He went to the fisherman and asked him for her (1) regimental (2) tirade
hand in marriage. (3) remission (4) tiresome
Q: the King was extremely sad and returned to his Answer (2)
palace Sol. Tirade means a long angry speech of criticism
R: He fell in love with the fisher girl. 21. Inspite of our best efforts, we failed to _________
S: The fisherman agreed to it on a condition that the any new facts from him.
son of his daughter should be the heir to the (1) evoke (2) eject
throne. (3) elicit (4) erect
The proper sequence should be Answer (3)
(1) PQRS (2) RPSQ Sol. Elicit is to generate a response (external
(3) QSPR (4) PSQR manifestation) while to evoke is to cause the
manifestation of something in someone's mind.
Answer (2) (internal) evoke pity but elicit a response.

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 NTSE (S-I) 2017-18

22. The ties that bind a family together are _________ Questions (28 – 37) : In the following passage there are
that they can hardly withstand any strain. some numbered blanks. Fill the blanks by selecting the
most appropriate word for each blank from the given
(1) twisted
options:
(2) tenace
The recent trend is not towards segregation but
(3) tentative (Q. No. 28) ____________. More and more handicapped
(4) tenuous children are now being educated (Q. No.29) ________ the
ordinary schools. The trend towards integration is
Answer (4)
increasing because of two recent developments. First
23. Being __________, the judge gave a favourable there has been marked (Q. No. 30) ________ in attitude
verdict. among both the parents of the (Q. No. 31) ___________
(1) pugnacious children and the professionals who work with them. The
second reason Is (Q. No. 32) ________ increasing range
(2) sagacious
of aids (Q. No. 33) ________ to enable disabled children
(3) malicious to be integrated and gain access to the ordinary
(4) tenacious curriculum. A few years (Q. No. 34) ________, aids for
disabled in education were either non existent or were
Answer (2) bulky and expensive. Many of these new aids are now (Q.
24. A restaurant that presents spick and span look will No. 35) ________ and (Q. No. 36) ________. During the
naturally ___________ more past few years, there has been considerable (Q. No. 37)
(1) accommodate ________ in this area.
28. (1) unity (2) joining
(2) welcome
(3) Integration (4) separation
(3) avoid
Answer (3)
(4) attract
Sol. The question could have been,
Answer (4)
I look forward to seeing (rather than see) my friend
25. He admired precision in everything, but it never
again. Look forward is always followed by gerund (ing
hampered his quick _________.
form)
(1) decision (2) dealing
29. (1) out (2) of
(3) finalisation (4) action
(3) for (4) in
Answer (1)
Answer (1)
26. One ________ and you know who among them is 30. (1) migration (2) change
the culprit.
(3) improvement (4) show
(1) peep (2) sight
Answer (2)
(3) look (4) gaze
31. (1) handicapped (2) school
Answer (3)
(3) reason (4) primary
Sol. Look. Look and gaze though mean the same action,
Answer (2)
they differ. Look is to see something very quickly.
Gaze is a intended long look, often used as a 32. (1) rarely (2) strongly
synonym for awe. So in the context of the given (3) rapidly (4) hardly
question look is apt answer. The merit of a person
Answer (3)
is that he just need a look to find out who is the
culprit. 33. (1) available (2) exported

27. Authority _______ when it is not supported by the (3) detected (4) ago
moral purity of its user. Answer (1)
(1) crumbles (2) waits 34. (1) hence (2) ago
(3) empowers (4) prevails (3) noticed (4) exported
Answer (1) Answer (2)

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35. (1) big (2) short Questions (44 – 48) : Select the most appropriate option
(3) small (4) easy to fill in the blanks from the given alternatives.
Answer (3) 44. Our rich culture inspires us to take ________ in our
36. (1) free (2) inexpensive heritage.

(3) easy (4) cost (1) prided (2) proudly

Answer (2) (3) pride (4) proud
37. (1) difficulty (2) education Answer (3)
(3) debate (4) development 45. With the changing times, most of the students have
Answer (4) become business like; they are ______ and want to
take only those courses which they find rewarding.
Questions (38-40) : Choose the appropriate phrasal verbs
to complete the sentences. (1) idealistic (2) pragmatic
38. I ___________ see my friend again. (3) enthusiastic (4) partial
(1) look for (2) look out Answer (2)
(3) look forward to (4) look into Sol. Pragmatic means dealing with things sensibly and
Answer (3) realistically based on practical rather than theoritical
39. I'm afraid; we have ___________ of apple juice, will consideration. While partial means incomplete and
an orange juice do ? carries a negative connotation.
(1) run out (2) run into 46. Mohan's career has taken some ________ twists
and turns.
(3) run away (4) run after
Answer (1) (1) interesting (2) interactive
40. Your website has helped me a lot to ___________ (3) intuitive (4) Incentive
the good work. Answer (1)
(1) keep in (2) keep out 47. She was remarkably _________ in singing and
(3) keep for (4) keep up dancing.
Answer (4) (1) conducive (2) fluctuating
Questions (41 - 43): Select the meaning of the underlined (3) intimidate (4) accomplished
phrases / idioms.
Answer (4)
41. "When pigs fly she'll tidy up her room'
48. Einstein recognised and ___________ to the
(1) in the evening
scientific world the importance ot Bose’s discovery
(2) something that will never happen
(1) recommended (2) proclaimed
(3) spending a lot of time
(3) proposed (4) acknowledged
(4) to do it exactly
Answer (2)
Answer (2)
Questions (49 – 50) : Select the word which means the
42. I Let the cat out of the bag about their wedding
opposite of the underlined word.
plans.
(1) to think about somebody’s plan 49. Though the murderer was convicted by the District
Court, he was _______ by the High Court.
(2) to allow the cat to go out of the bag
(1) arrested (2) fascinated
(3) agreeing with someone
(4) to accidentally reveal a secret (3) acquitted (4) betrayed

Answer (4) Answer (3)

43. That girl is so emotional. She'll start crying at the 50. They tried to make him confident but he still looked
drop of a hat. __________.
(1) Instantly (2) accidentaly (1) rejected (2) evident
(3) badly (4) horribly (3) provident (4) diffident
Answer (1) Answer (4)

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 NTSE (S-I) 2017-18

PART-III : SCHOLASTIC APTITUDE TEST (SAT)


1. When vector A is multiplied by a scalar number-2, 5. Assertion (A): The phenomenon of total internal
then reflection occurs only when the incident light ray
travels from denser medium to the rarer medium.
(1) The magnitude of vector will be doubled and the
direction will be same Reason (R): When the light ray travels from denser
medium to rarer medium the refracted ray bends
(2) The magnitude of vector will be doubled and the away from the normal.
direction will be opposite. Considering the above:
(3) The magnitude and direction of vector remains (1) Both A and R are true and R is the correct
same explanation to A
(4) The magnitude of vector will be halved and (2) Both A and R are true and R is not the correct
direction is reversed. explanation to A
Answer (2) (3) Both A and R are false
  (4) A is false and R is true
Sol. A  2  2A
Answer (1)
2. The f igure shows velocity-time graph of one 6. Two bodies of masses 2 kg and 16 kg are seperated
dimensional motion of an object. The shaded area by a distance of 4m. The gravitational force between
represents. these two bodies is (G = 6.67 × 10–11 Nm2 kg-2)
(1) 6.67 × 10–11N (2) 13.34 × 10–11N
(3) 20.01 × 10–11N (4) 26.68 × 10–11N
Answer (2)
time Gm1m 2 Gx2x16
Sol. F    2G
(1) Momentum (2) Acceleration r2 42
7. The ascending order of frequency of the given
(3) Distance travelled (4) Speed electromagnetic waves is
Answer (3) (1) IR-rays, Visible-rays, UV-rays, X-rays,
Sol. Area under V-t graph Gammarays

= distance travelled by the object (2) IR-rays, Visible-rays, X-rays, Gamma rays.
(3) Gamma rays, X-rays, UV-rays, Visible rays,
3. Two bodies of masses m and 4 m are moving with
IT-rays
equal linear momentum. The ratio of their kinetic
(4) Gamma rays, X-rays, Visible rays, UV-rays,
energy is.
IR-rays.
(1) 1 : 8 (2) 4 : 1
Answer (1)
(3) 1 : 1 (4) 1 : 2 8. To prepare a compound microscope the type of
Answer (2) lenses used are
(1) Eye lens is convex lens of comparatively lower
Sol. P12  P 2 2  2m1k1  2m2k 2
focal length and object lens is convex lens of
k1 m2 4m 4 comparatively higher focal length.
   
k2 m 1 m 1 (2) Eye lens is concave lens of comparatively lower
focal length and object lens is concave lens of
4. In concave mirror the object is placed beyond C.
comparatively higher focal length.
Then the nature and size of the image formed is
(3) Eye lens is convex lens of comparatively higher
(1) Real, erect and diminished focal length and object lens is convex lens of
(2) Real, inverted and diminished comparatively lower focal length.
(3) Virtual, erect and magnified (4) Eye lens is concace lens of comparatively higher
focal length and object lens is concace lens of
(4) Real, inverted and magnified. comparatively lower focal length.
Answer (2) Answer (3)

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 NTSE (S-I) 2017-18

9. Assertion (A): Due to variation of pressure speed of 12. The circuit diagram which shows the conversion of
sound does not change. both the half cycles of AC into DC is (D1 and D2are
diodes, RL  load resistance)
Reason (R): The variation of pressure is proportional
to variation of density.
Consider the above:
(1) Both A and R are correct and R is the correct
explanation to A
(2) A is correct and R is the wrong explanation to
A
(3) Both A and R are wrong
(4) A is wrong and R is correct
Answer (3)
Sol. Assertion (A)

P
ν= ν  P if   constant


Reason (R)

ρ RT
P= P  ρ , If T = constant
M
Since it is not mentioned, whether  and T are Answer (2)
constant or not, both assertion and reason are 13. In the given circuit the effective resistance between
wrong. A and B is
10. When 1 mg of matter is converted into energy, the
amount of energy released is
(1) 90 J
(2) 9 x 105J
(1) 9 (2) 6
(3) 9 x 103J
(3) 1.5 (4) 2
(4) 9 x 1010J
Answer (4)
Answer (4)
6x3
Sol. R   2
Sol. E  mc 2  1x10 6 kg  3x10 8 m / s  2 = 9 x 1010J 63
14. Assertion (A): 'Ge is a better semiconductor than
11. If the temperature of sun is doubled, the energy
"SI' but 'SI' is widely used than 'Ge'
received by the earth increases by.
Reason (R): Structure of 'SI' crystals cannot be
(1) 2 times damaged as easy as that of 'Ge' at higher
(2) 8 times temperture.

(3) 16 times (1) A and R are false

(4) 32 times (2) A is false and R is true

(3) A and R are true
Answer (3)
(4) A is true and R is false
Sol. E  T 4
Answer (3)
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 NTSE (S-I) 2017-18

15. The atoms having the bigger size among each of the 20. The equation Mg s   CuO s   MgO s   Cu s 
following pair are
represents
I. Mg (At.No.12) or Cl (At.No.17)
a. decomposition reaction
II. Na (At.No.11) or K (At.No.19)
b. displacement reaction
(1) Mg and K (2) Mg and Na
c. combination reaction
(3) Cl and Na (4) Cl and K
d. double displacement reaction
Answer (1)
e. radox reaction
16. The highly significant isomers among the following (1) a and b (2) c and d
compounds are
(3) b and e (4) d and e
A. Methane
Answer (3)
B. Propane
21. Select the correct option that confirms the chemicals
C. Butane taken in the test tubes A and B on the basis of the
D. Hexane following statements related to its properties.
(1) A and B (2) A and D Statement (A): Chemicals of 'A' gives burning taste
and 'B' has the smell of Vinegar.
(3) B and C (4) C and D
Statement (B): Chemicals of 'A' turns blue litmus
Answer (4)
paper to red and 'B' gives brisk effervescence with
17. When the universal indicatior solution is added to sodium hydrogen carbonate.
three unknown colourless solutions P,Q and R they
(1) A has ethanol and B does not ethanoic acid
change to Blue, Violet and Orange colours
respectively. The increasing order of the pH values of (2) A does not have ethanol and B has ethanoic
these solutions are acid

(1) Q > R > P (2) R > Q > P (3) A has ethanol and B has ethanoic acid

(3) Q > P > R (4) P > Q > R (4) A has ethanoic acid and B has ethanol

Answer (3) Answer (2)

18. Only selected steps of silicon preparation are 22. The solution to be mixed with lead nitrate to obtian
jumbled below after inserting few irrelevant steps. The yellow precipiate is
option with correct order of only right steps is (1) Potassium iodide
a. Heat the fire clay crucible (2) Potassium sulphide
b. Mixture of silica and magnesium powders are (3) Potassium nitride
taken in the fire clay crucible. (4) Potassium chloride
c. Water is added to the crucible Answer (1)
d. Crystal form of silicon is obtained
Sol. [Hint : Pb NO3 2  KI  PbI2  2KNO3 ]
e. Hydrofloric acid is used
Yellow
f. Amorphous form of silicon is obtained
23. An element 'X' forms two oxides 'XO' and 'XO2'. The
(1) a b d e (2) b c e f oxide 'XO' is neutral but 'XO2' is acidic in nature. The
(3) b a d e (4) b a e f element 'X' is

Answer (4) (1) Sulphur (2) Calcium

19. An element reacts with water to form a solution (3) Hydrogen (4) Carbon
which turns phenolphthalein solution pink is Answer (4)
(1) S (2) Ca Sol. Hint: XO XO2
(3) C (4) Ag CO CO2
Answer (2) Neutral Acidic

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 NTSE (S-I) 2017-18

24. The type of the bond in the compound XY where X 28. If the sebaceous glands are not functioning then
and Y belongs to 1st and 17th groups of the periodic (1) the body will not be able to regulate the body
table respectively is temperature
(1) Hydrogen bond (2) Ionic bond (2) the skin will turn darker with more melanin
(3) Polar bond (4) Covalent bond
(3) the hair will fail to grow
Answer (2)
(4) the skin will turn dry and rough
Sol. Hint: Ionic bond
Answer (4)
Ex. Na  Cl  NaCl
2,8,1 2,8,7 Ionic compound Sol. Sebaceous glands are known to produce oil which
25. The organic compounds, whose both melting and keep skin moisturised.
boiling points are either positive or negative values
29. The joint between humerus and ulna that moves in
only
one plane only
a. Methane b. Trichloromethane
(1) Gliding joint
c. Ethanol d. Ehtanoic acid
(2) Hinge joint
(1) a and b (2) b and c
(3) Pivot joint
(3) a and d (4) c and d
(4) Ball and socket joint
Answer (3)
Answer (2)
26. The characteristics and its trends of certain range of
elements in a periodic table are matched. The Sol. Hinge joints allows movement only in one plane.
correct option is End of one bone is deep convex in shape and the
a. Electronegative I. Decreases other end of bone is deep concave, which forms the
character from joint.
'Na' to 'Al' 30. Read the following statements and select the correct
b. Non metallic II. Remains constant option
character from F to I A. It is a colourless, highly acidic liquid
c. Number of valence III. Increases
B. It contains an enzyme called pepsin
electrons from
Be to Ca C. It kills any germs which may have entered along
with the blood
(1) a-II, b-I, c-III (2) a-III, b-II,c-I
D. It converts protein into peptides
(3) a-II,b-III,c-I (4) a-III,b-I,c-II
(1) Pancreatic juice (2) Bile juice
Answer (4)
(3) Gastric juice (4) Saliva
27. Match Column-I with Column-II and identify the
correct answer Answer (3)
Column-I Column-II 31. Assertion (A): Colour blindness is more common in
males than in females.
A. Virus i. Ring worm
Reason (R): Colour blindness defect is due to
B. Bacteria ii. Filariasis dominant genes which occur in the ‘Y’
C. Protozoa iii. Tetanus chromosomes.
D. Nematoda iv. Sleeping sickness Select the correct option from the given alternatives.
v. Polio (1) ‘A’ is true and ‘R’ is false
(1) A-ii, B-v, C-i, D-iii (2) A-iii, B-iv, C-v, D-i (2) ‘A’ is false and ‘R’ is true
(3) A-v, B-iii, C-iv, D-ii (4) A-ii, B-i, C-v, D-iii (3) Both ‘A’ and ‘R’ are true and ‘R’ explains ‘A’
Answer (3) (4) Both ‘A’ and ‘R’ are true but ‘R’ does not explain
Sol. Virus-Polio; Bacteria-Tetanus; Protozoa-Sleeping ‘A’
sickness; Nematoda-Filariasis Answer (1)

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 NTSE (S-I) 2017-18

Sol. Colors blindness is X linked recessive disorder which 34. A plant that shows viviparous germination
expresses itslef only in homozygaus recessive (1) Green pea (2) Rhizophora
condition. Hence females behave as carriees without (3) Bean (4) Green gram
getting affected by the defected X chromosome. As Answer (2)
males have one copy of X chromosome they
Sol. Rhizophora also called as mangrove planto seeds
express the condition. germinate while being attached to parent plant called
32. Study the labelled diagram below and select the viviparous germination.
correct option 35. Identify the correct statements about photosynthesis
A. Mesophyll cells in a leaf are the principal centre
of photosynthesis
B. Splitting of water (H2O) molecules into hydrogen
and oxygen ions in the presence of light is called
polymerisation
C. Conversion of glucose into starch is called
photolysis
D. The electrons are used in converting ADP into
energy rich compound ATP by adding one
phosphate group Pi is called
photophosphorylation
(1) A. Medulla B. Cortex (1) ‘A’ and ‘D’ only (2) ‘A’ and ‘C’ only
C. Renal artery D. Renal vein (3) ‘B’ and ‘C’ only (4) ‘C’ and ‘D’ only
(2) A. Cortex B. Medulla Answer (1)
C. Renal vein D. Renal artery Sol. Spliting of H2O molecule in the presence of light
(3) A. Cortex B. Medulla energy is called photolysis.
C. Renal artery D. Renal vein Conv ersi on of glucose into starch is called
(4) A. Medulla B. Cortex polymersation.

C. Renal vein D. Renal artery 36. If the common salt is sprinkled on lawn grass, it is
killed at the spot. This is due to
Answer (3)
(1) Plasmolysis (2) Adhesion
33. Read the following statements and select the correct
option. (3) Capillary action (4) Imbibition
A. Oxytocin causes constriction of uterus muscles Answer (1)
during child birth Sol. Sprinkling salt on glass creates hypertonic condition
B. Insulin stimulates deposition of extra glucose of which causes plasmolysis in plant cells. Prolonged
the blood as glycogen in liver and muscles plasmolysis causes death of grasses.
(1) ‘A’ is false ‘B’ is true 37. Read the following statements and select the correct
(2) ‘A’ is true ‘B’ is false option.
(3) Both ‘A’ and ‘B’ are true A. Auxins help to prevent fruit and leaf drop at
early stages
(4) Both ‘A’ and ‘B’ are false
B. Abscisic acid promotes seed germination
Answer (3)
(1) ‘A’ is false and ‘B’ is true
Sol. Oxytocin is also called as child birth hormone as it
brings about contraction of smooth muscles of (2) ‘A’ is true and ‘B’ is false
uterus wall. (3) Both ‘A’ and ‘B’ are true
(4) Both ‘A’ and ‘B’ are false
Insulin reduces blood sugar level by enhancing its
uptake by cells and by glycogenesis in liver and Answer (2)
muscles. Sol. Abscisic acid inhibits seed germination.

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 NTSE (S-I) 2017-18

38. Cretinism and myxedema are due to Answer (1)

(1) Hyper secretion of growth hormone Sol. Y-Lizard-Reptiles have 3 chamberd heart and are
(2) Hypo secretion of growth hormone oviparous

(3) Hyper secretion of thyroxin Z-Tiger-Pentadactyl i.e., 5 digits and viviparous

(4) Hypo secretion of thyroxin 41. Bhagath Singh, Jathindas, Batukeshwar and others
founded a Revolutionary Association called
Answer (4)
(1) Hindusthan Army for Independence
Sol. Cretinism-reduces growth and causes mental
(2) Hindusthan Socialist Republic Army
retardation in children due to reduced secretion of
(3) Hindusthan Socialist Revolutionary Army
thyroxine in adults.
(4) Hindusthan Kissan Movement Sabha
Myxedema-Swelling of body tissues due to fluid
Answer (2)
retention caused by reduced secretion of thyroxine.
42. Choose the group of correct statements related to II
39. Rahul’s friends are suffering from some diseases.
Carnatic War
Ritika is suf f ering f rom rickets, Satish has
haemophilia and Soumya has H1, N1. Then who can a. Battle between Nasir Jung and Muzaffar Jung for
communicate disease to Rahul? the throne of Hydrabad Nizam.
(1) Ritika and Soumya only b. Britishers helped Anwaruddin.

(2) Satish and Soumya only c. French helped Chandra Saheb under the
leadership of Dupleix.
(3) Soumya only
d. Britishers defeated Nasir Jung in a battle
(4) Ritika only
(1) a, b and c
Answer (3)
(2) a and d
Sol. Soumya has H1N1 which is casused by virus and is
(3) a, b and d
a communicable disease.
(4) a, c and d
Rickets and hemophilia are vitamin D deficiency
Answer (1)
and genetic disorder respectively. Which cannot be
43. The idea of Indian National Army (INA) was
transmitted.
Conceived by
40. Refer to the given Venn diagram below and select the
(1) Subhaschandra Bose
correct option regarding ‘X’, ‘Y’ and ‘Z’.
(2) Ross Behari Bose
(3) Mohan Singh
Pen
ta dac (4) Aravind Ghosh
us tyl
ip aro Answer (3)
Ov
44. Choose the correct of the incidents of Indian freedom
Y X Z movement in a chronological order:
a. Poona Agreement
Three b. Direct Action Day
chambered
us
heart Viviparo c. August Offer
d. Establishment of Forward Block Party

(1) ‘Y’ can be lizard, ‘Z’ can be tiger and there is no (1) a, d, c, b
such organism as ‘X’ (2) b, a, d, c
(2) ‘X’ can be bat and ‘Z’ can be ostrich (3) a, d, b, c
(3) ‘Y’ can be snake and ‘Z’ can be emu (4) d, a, b, c
(4) There is no such organism as ‘Z’ Answer (1)

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 NTSE (S-I) 2017-18

45. Choose the correct group of areas in which Britishers a b c d

introduced the Ryotwari system. (1) V IV I II
a. Madras b. Bengal (2) IV V I II
c. Sindh d. Assam (3) III V I II
(1) a and b (2) a, b and c (4) V III IV II
(3) b, c and d (4) a, c and d Answer (1)
Answer (4) 50. Metternich remarked "When France Sneezes, the
rest of Europe catches cold". Identify the most
46. Identify the correct statements related to French appropriate justification for this statement
Revolution
(1) French revolution sparked nationalism
a. Priests and rich class people are exempted
(2) French revolution inspired world nations
from paying taxes and led a luxurious life.
(3) The development in France ignited uprising in
b. Agricultural and industrial developments were Belgium and breaking away from UK
stumbled.
(4) France became the leader of Europe
c. Count Cavour made a secret pact with France.
Answer (3)
d. Louis XVI of Bourbon dynasty led a luxurious 51. The Kannada speaking region which came under the
and extravagant life. rule of Madras province in 19th century is
(1) a, b and c (2) a, c and d (1) Raichur (2) Bellari
(3) b, c and d (4) a, b and d (3) Bijapura (4) Gulbarga
Answer (4) Answer (2)
47. Choose the group of nations which belong to Triple 52. Match personals in List-A with appropriate positions
Alliance during First World War in List-B
a. Germany b. Russia List-A List-B

c. Austria d. Italy a. Shaikh Abdulla I. State Reorganisation

Commission
(1) a and b (2) a, b and c
b. Fazal Ali II. Chief of Razakars
(3) a, c and d (4) a, b, c and d
c. Sardar Vallabhbhai III. King of Jammu and
Answer (3) Patel Kashmir
48. The principle based on which the insurer is liable d. Qasim Razvi IV. First Home Minister of
only for those losses which have been insured India
against is
e. Raja Harisingh V. Founder of National
(1) Principle of indemnity Conference
(2) Principle of contributions a b c d e
(3) Principle of loss minimization (1) I V IV III II
(4) Principle of proximate cause (2) V I IV III II

Answer (4) (3) V I II IV III

(4) V I IV II III
49. Match the items in List-A Entrepreneurs with List-B
Entrepreneurship Answer (4)
a. Naresh Goyal I. Infosys 53. Identify the group of Financial Institutions with gives
loan to small scale industries.
b. Kiran Mazumdar II. Reliance
(1) IDBI, IFCI, SFC, SIDBI
Shah
(2) RBI, NABARD, IFCI, IDBI
c. Narayan Murthy III. Balaji Telefilms
(3) NABARD, IDBI, RBI, SFC
d. Dhirubai Ambani IV. Biocan (4) SIDBI, RBI, NABARD, IDBI
V. Jet Airways Answer (1)
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 NTSE (S-I) 2017-18

54. Identify the correct group of Nationalised Banks a b c d

(1) Canara Bank, State Bank of India, Vijaya Bank, (1) I II III IV
Dena Bank, IDBI Bank
(2) I III II IV
(2) IDBI Bank, ICICI Bank, Karnataka Bank, Dena
(3) I IV III II
Bank, Canara Bank
(4) IV II I III
(3) IDBI Bank, Vijaya Bank, ICICI Bank, Karnataka
Bank, Canara Bank Answer (1)
(4) Vijaya Bank, Canara Bank, HDFC Bank, ICICI 59. Assertion (A): Increase in population, urbanisation,
Bank, Dena Bank Industrialisation lead to the increased use of fossil
Answer (1) fuels.

55. The correct statement that is related to French East Reason (R): Over use of conventional energy
India Company is that it was, resources has resulted in the phenomenon of green
house effect.
(1) Private Company
Select the correct option from the given alternatives.
(2) Private Company controlled by the French
Government (1) A is true, R is false
(3) Officially a State owned comapny (2) A is false, R is true
(4) Controlled by the French Merchant (3) Both A and R are true, but R is not correct
Answer (3) explanation of A
56. The correct decreasing order of the neighbouring (4) Both A and R are true and R is the correct
countries based on the length of the border that India explanation of A
shares is Answer (4)
(1) China, Bangladesh, Nepal, Pakistan 60. Choose the group of statements, which are correct
(2) Bangladesh, Pakistan, China, Nepal with respect to "Golden Quadrilateral and Corridor
(3) China, Bangladesh, Pakistan, Nepal Project".

(4) Bangladesh, China, Pakistan, Nepal a. This project covers National Highways with the
length of 15,000 kms.
Answer (4)
b. The project was started in the year 2001
57. Choose the right arrangement of mountain ranges of
India from South to North. c. Total cost of the proposed project was Rs.
54,000 crores
(1) Western Ghats, Vindhya Ranges, Satpura Hills,
Aravali Hills d. This is the largest project taken up and no
country in the world has taken up such project
(2) Western Ghats, Aravali Hills, Satpura Hills,
Vindhya Ranges (1) a, b and c (2) b, c and d
(3) Western Ghats, Satpura Hills, Vindhya Ranges, (3) a, b, c and d (4) a, c and d
Aravali Hills Answer (4)
(4) Vindhya Ranges, Western Ghats, Aravali Hills,
61. Assertion (A): Majority of paper industries are found
Satpura Hills
in West Bengal.
Answer (3)
Reason (R): News print paper is being imported from
58. Match Column 'A' with Column 'B' and choose Norway, Sweden, Canada and the U.S.A.
correct answer.
Select correct option from the given alternatives.
Column-A Column-B
(1) A true, R false
a. Kaziranga National I. Assam
(2) A false, R true
Park
(3) Both A and R are true, but 'R' is not the correct
b. Sundarbans II. West Bengal
explanation of 'A'
c. Gir National park III. Gujarat
(4) Both 'A' and 'R' are true, but 'R' is the correct
d. Tandova National IV. Maharashtra explanation of 'A'
Park Answer (3)
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62. The total population of an area devided by its c. A group protesting III. Riot
geographical area gives
against a project
(1) Population index
in a peaceful way
(2) Distribution of population
d. A group of people IV. Mob
(3) Population Density
involved in bringing
(4) Population growth rate
awareness
Answer (3)
63. Match Column 'A' with Column 'B' and choose a b c d
correct answer. (1) III IV I II
Column-A Column-B (2) I II III IV
a. Rawat Bata I. Thermal Electricity (3) III I IV II
b. Barauni II. Wind Energy
(4) IV II I III
c. Nagarcoil III. Automic Energy
Answer (1)
d. Baramar IV. Solar Energy
67. Choose the group of correct answer with respect to
a b c d the statements about South West Monsoon
(1) III I II IV
a. Trade winds transform as South West Monsoon
(2) I III II IV after they cross Equator
(3) III I IV II b. These enter India in two branches
(4) IV III II I
c. Most of the country's region receive rain during
Answer (1) South West Monsoon except Tamil Nadu
64. Section 25 of Indian Constitution provides following d. The western region of the Western Ghats is
right to Citizens of India called rain-shadow region
(1) Guarantees educational facilities to all
(1) b and c only
(2) Guarantees reservation in political field to
(2) a, b and c
scheduled castes and tribes
(3) Guarantees reservation in the employment (3) b, c and d
sector to scheduled castes and tribes (4) a, b and d
(4) Guarantees free entry to all people to social and Answer (2)
religious places
68. Match the nations and the respective names of
Answer (4) cyclones and choose correct answer.
65. The main cause for Land degradation in Punjab,
A B
Haryana and Western part of Uttar Pradesh
(1) Intensive Agriculture (2) Over Irrigation a. India I. Thane

(3) Deforestation (4) Mining b. Bangladesh II. Giri

Answer (2) c. Myanmar III. Mujan

66. Match Column 'A' with Column 'B' and choose d. Oman IV. Jal
correct answer. a b c d
Column-A Column-B
(1) IV II I III
a. group of people I. Movement
(2) II III I IV
pelting stones
(3) II III IV I
b. people assembled II. Campaign
near a theatre to (4) IV III II I
buy tickets Answer (1)
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69. Match the following and choose correct answer. 72. List-A is the list of Regional Parties, List-B is their
Animals/Birds Catagory of Existence existence in the State and List -C is their symbol.
species List-A List-B List-C
a. Indian Rhino I. Rare species (Regional (State their (Symbol)
Parties) existence)
b. Hornbill II. Extinct species
A. Shivassena E. Tamil nadu I. Arrow
c. Asiatic cheetah III. Vulnerable species
B. AIADMK F. Maharashtra J. Two leaves
d. Gangtic Dolphin IV. Endangered species
C. Peoples G. Bihar K. Ink pot
a b c d Democratic Party and pen
(1) IV II I III D. JD (U) H. Jammu & L. Bow and
(2) IV I II III Kashmir arrow
(3) III II IV I The correctly matched set related to the above table
(4) III II I IV is
Answer (2) (1) AFL, BEJ, CHK, DGI
70. Arrange the area covered by types of soil in India, in (2) AFK, BGI, CEL, DHJ
increasing order (3) AEL, BGK, CHJ, DFL
(1) Laterite soil, Red soil, Black soil, Alluvial soil (4) AHI, BGJ, CFL, DEK
(2) Laterite soil, Black soil, Red soil, Alluvial Soil Answer (1)
(3) Alluvial soil, Black soil, Red soil, Laterite soil 73. First Indian Women President is coded as (P),
(4) Alluvial soil, Red soil, Black soil, Laterite soil. Prime Minister as (Q), Governor as (R) and Chief
Answer (1) Minister as (S) and their names are given below.

71. Match list 01 of Heads/Ministers of Executive of a. Indira Gandhi

Indian Government with List 02 of their “functions” b. Suchetha Kripalani
and select the correct answer using the codes given c. Prathiba Patil
below.
d. Sarojini Naidu
List-01 List-02
(Heads of Executive (Functions) Which one of the following choices represents PQRS
of Indian Government) order?

A. President I. Chairperson of the (1) c a b d (2) d c b a

NITI Ayoga (3) d a b c (4) c a d b
B. Vice President II. Appointment of Answer (4)
Chief Minister to
States 74. Regional Co-operation Organisations of different
nations are given below.
C. Prime Minister III. Appointment of
Governors of State I. SAARC
D. Finance Minister IV. Presentation of II. ASEAN
Union Budget III. European Union
V. Act as Ex-Officio
IV. African Unity
Chairperson of
Rajya Sabha Identify the correct choice of these organisations in
the chronological order of establishment.
Codes:
(1) I III IV II
(1) A-i, B-v C-iv D-ii
(2) IV II I III
(2) A-ii B-iii C-iv D-i
(3) III I II IV
(3) A-iii B-v C-i D-iv
(4) II IV III I
(4) A-iv B-ii C-iii D-i
Answer (2)
Answer (3)
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 NTSE (S-I) 2017-18

75. Read the following statements and select the correct Which of the above signifies post harvest technology
option. of Green Revolution?
Assertion (A): The Governor of a State cannot be dis- (1) a and b (2) b and c
missed by the Chief Minister.
(2) c and d (3) d and a
Reason (R): The Governor of a State is not elected.
Answer (2)
(1) Both ‘A’ and ‘R’ are true and ‘R’ is the correct
explanation of ‘A’ 79. Whom would you consider as unemployed related to
the following situations?
(2) Both ‘A’ and ‘R’ are true and ‘R’ is not the correct
explanation of ‘A’ A. A farmer in farm produces 100 kg paddy in one
acre of land during every season. In addition one
(3) ‘A’ is true but ‘R’ is false
year his adult son Raju joined him in farming. But
(4) ‘R’ is true but ‘A’ is false output remained the same.
Answer (2) B. Raghu has income by his huge property to lead
76. Which of the following statement/statements about comfort life. So he does not work.
Anti Defection Law is/are correct?
(1) Raju is unemployed
A. The Constitution Act of 1985 is popularly known
as the Anti Defection Law. (2) Raghu is unmeployed

B. Independently elected member of Parliament or a (3) Both Raju and Raghu are unemployed
State Legislature will not be disqualified if he/she (4) Both Raju and Raghu are not unemployed
join any political party after elections.
Answer (3)
Choices:
80. Indicators of development are given below.
(1) Only A is correct
a. National Income
(2) Only B is correct
b. Per capita Income
(3) Both A and B are correct
c. Life expectancy
(4) Both A and B are incorrect
d. Educational Achievement
Answer (1)
e. Rate of women’s job participation
77. Calculate the Male Literacy Rate from given data and
choose the correct answer from the given choices. f. Standard of living
Gender Total Persons Literate Which of the above indicators are measured in Human
persons Development Index?
Male 1350 981 (1) a, b, c (2) c, d, f
Female 785 435 (3) a, b, e (4) d, e, f
Total 2135 1416 Answer (2)
(1) 78.5% (2) 66.3% 81. The area of two concentric circles are 1386 cm2 and
(3) 55.4% (4) 72.6% 962.5 cm2. The width of the ring is
Answer (4) (1) 4.2 cm (2) 3.8 cm
78. The following are the major changes that occured in (3) 3.5 cm (4) 2.8 cm
agriculture as a result of Green Revolution in India.
Answer (3)
a. Use of high yield variety seeds in wheat grains
only Sol.

b. The poor and marginal small farmers avail the R

benefits of improved technology
r
c. Construction of granaries, cold storages
warehouses to store the surplus produce
d. The improved technology of Green Revolution was
restricted and practices in northern states of India
i.e., Pubjab, Haryana, Rajasthan States.

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x 2  3x  m  0 has equal roots

 R2  1386
 b2  4ac  0
 R  21
9  4m  0
 r 2  962.5
m9/4
r  17.5
84. Statement-I: If 5  24  x  y then x  y  5
w  R  r  21  17.5  3.5cm and xy = 24 .
82. On increasing the radius of the base and height of
a cone each by 20%, then the percentage increase
Statement-II: The square root of 5 – 24  is

in the volume will be  3 2 . 

(1) 20% (2) 40.8% (1) Both statement-I and II are wrong
(3) 60% (4) 72.8% (2) Statement-I is wrong, but statement-II is right
Answer (4) (3) Both statement-I and II are right
Sol. Option 4 (4) Statement-I is right, but statement-II is wrong
1 2 Answer (2)
Volume of cone, V  r h
3
Sol. 5  24  x y
2
1  6   6h 
New volume of cone    r     52 6  x y
3 5   5 
1  36  6h   3 2 x y
   r 2  
3  25  5  x3 y2
 216  1 2 x+y=3+2=5
  r h
 125  3
xy = 3.2 = 6
1 
 1.728    r 2h  Statement-I is false; statement-II is true.
3 
New vol – old vol 85. The v alue of cos2 50  cos2 100  cos2 150  ...
% Increase in Volume =
old vol
 cos 2 850  cos 2 900 is
1.728V – V
= x 100 = 72.8%
V 1
(1) 9 (2) 9
83. If -4 is a root of the quadratic equation 2
2
x 2  px  4  0 and the equation x  px  m  0 1
(3) 8 (4) 8
has equal roots, then the value of "m" is 2

25 Answer (3)
(1) -4 (2)
4
  
Sol. cos2 5  cos2 85  cos2 10  cos2 80  
(3) +4 (4)
25  2 2

..... cos 40  cos 50  cos 45 2

4 1 1 1
1  1  ....  1  8 8
Answer (Given options are wrong) 2 2 2
Sol. Given options are wrong 86. If (x + a) is the factor of the polynomials (x2 + px + q)
and (x2 + mx + n) then the value of 'a' is
'–4' is a root of equation x 2  px  4  0
nq mp
 16  4p  4  0 (1) (2)
mp nq
 4p  12
p3 qn mp
(3) (4)
mp qn
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 NTSE (S-I) 2017-18

Answer (1) Sol. A

Sol. Giv en (x + a) is a f actor of x 2  px  q &

x 2  mx  x
N M
a2  pa  q  a2  ma  n

m  p  a  n  q
B L C
nq
a
mp Clearly ALB is similar to CNB ..................(1)
AL BL AB
87. The lowest common multiple of two numbers is 14  
CN BN BC
times their greatest common divisor. The sum of
LCM and GCD is 600. If one number is 80 then Clearly BMC is similar to ALC ..................(2)
other number is BM CM BC
 
(1) 600 (2) 520 AL CL AC
(3) 280 (4) 40 Clearly BMA is similar to CNA
Answer (3) BM AM AB
  .....................(3)
Sol. LCM = 14 GCD CN AN AC

LCM + GCD = 600 multiplying equation (1), (2) & (3)

 15GCD  600  AN.BL.CM  BN.LC.AM

GCD  40 90. If the letters of the word "FATE" are arranged as in
LCM  14.40  560 a dictionary without repeatition, then the rank of the
LCM x GCD  a.b. arrangement of "FAET" is
 560x40  80xb (1) 12 (2) 13
b  280 (3) 14 (4) 15
88. The shaded portion in the given Venn diagram Answer (2)
represents
Sol. F A T E
P Q U A – 3! = 6
E A – 3! = 6
F A E T – =1
Rank = 6 + 6 + 1 = 13
91. There are 12 points in a plane of which 4 are
(1) P'  Q' (2) P'  Q'
collinear. The number of straight lines and triangles
can be formed from these points are respectively
(3) P'  Q'  ' (4) P'  Q'  '
(1) 60 and 220 (2) 66 and 220
Answer (4)
(3) 65 and 216 (4) 61 and 216
Sol.  P' Q'   P  Q Answer (4)
89. In ABC, the altitudes AL, BM and CN are intersect Sol. Total no. of points '12' out of which '4 are collinear
at 'O'. The value of AN × BL × CM is same as
No. of St. lines are 12C2  4C2  1
(1) BN  LC  AM (2) AL  CN  BM = 66 – 6 + 1 = 61
(3) OL  OM  ON (4) OC  OB  OA No. of triangles are = 12C2  4C2
Answer (1) = 216

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92. In ABC , AC  BC and AD  BC . The value of Answer (4)

AD2  BD2 is Sol. In APM, PA  AM  APM  PMA

(1) 2BD  CD (2) 2AC  CD By alternate segment theorem

AMP  MBA
(3) 2 BD  CD  (4) 2  AC  CD 
In PMB, BPM  PBM  PM  MB
Answer (1)
 PMB is an isosceles triangle
Sol. C
Clearly PBM is similar to PMA
BP BM MP
 
MP MA AP
D
AP.BP  PM2
AP.BP  MB2
Both A and B are true
A B 95. The correct relation is
AD2  BD2 A B
 2
 AC  CD  BD 2
 2
I. a,b,c are in G.P a. 2b  a  c
2
 AC  CD  BC  CD
2 2
2ac
II. a,b,c are in A.P b. a  c 
 2CD2  2BC.CD b
 2CD BC  CD  2CD.BD III. a,b,c are in H.P c. b1/2  ca
93. A box contains some black balls and 30 white balls. 1
d. b  ac  2
if the probability of drawing a black ball is two fifths
of a white ball, then the number of black balls in the (1) I-c, II-b, III-a
box is (2) I-c, II-a, III-d
(1) 6 (2) 12 (3) I-d, II-a, III-b
(3) 18 (4) 30 (4) I-d, II-b, III-c
Answer (2) Answer (3)
Sol. Let number of balls be 'x' Sol. a,b,c are in G.P then b2  ac
1
x 2 30 b  ac  2
  
x  30 5 x  30
2ac
 x  12 a,b,c are in H.P then a  c   ab  bc  2ac
b
94. M 1 1 2
B   
c b b
A 96. The standard Deviation (S.D) and mean of two
groups A and B are given below.
P
Group Standard Deviation Mean
In the given figure, PM is a tangent to the circle and
PA = AM then, A 3 70
A. PMB is isosceles B 4.2 60
B. PA × PB = MB2 The true statement among the following is
(1) A is true, but B is false I. A is more consistent than B
(2) B is true, but A is false II. B is more consistent than A

(3) Both A and B are false III. A is more efficient than B

(4) Both A and B are true IV. B is more efficient than A

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 NTSE (S-I) 2017-18

(1) Only I and III are true Answer (2)

(2) Only I and IV are true Sol. A a,0, B 0,b , C 1,1 lie on a straight line slope of
 
(3) Only II and III are true AB = slope of BC
(4) Only II and IV are true b  0 1 b

Answer (1) 0  a 1 0
 b 1 b
Sol. C.A.  x 100 
x a 1
 b  a  ab

C.A.  x 100
x ab
 a  b  ab  1
3 30 ab
Group A.................C.V.  x100   4.2
70 7 99. The ratio of income of two persons is 11 : 7 and the
4.2 42 ratio of their expenditures is 9 : 5. If each of them
Group B.................C.V.  x100  7
60 6 manage to save Rs 400 per month then the sum of
A is more consistant than B their monthly income is
A is more efficient than B. (1) Rs. 3,600 (2) Rs. 3,200
97. The angle of elevation of the top of a tower from two (3) Rs. 2,800 (4) Rs. 1,700
points at a distance of 'a' and 'b' (a > b) from its foot Answer (1)
and in the same straight line from its are 30° and
60°. The height of the tower is Sol. Ratio of income = 11: 7  11x, 7x

b Ratio of expenditure = 9 : 5  9y, 5y

(1) a 3 (2)
3 Solving,
1 11x  9y  400...........(1)
(3) ab (4)
ab 7x  5y  400.............(2)
Answer (3)  (1) x 5  55x  45y  2000
Sol. B (2)x9  63x  45y  3600
8x   1600
x  200
h Income = 2200 + 1400 = 3600

100. If y  a  a2  a3  .... where a  1 then, the value

0
of 'a' is
30
0 60
D A y y
C b (1) (2)
1 y 1 y
a
h 1 y 1 y
In ABC,  3 (3) (4)
b  h 2  ab y y
& In  BAD, Answer (1)
 h  ab
h 1
 Sol. y  a  a2  a3 .........,| a | 1
a 3
a
98. The condition of points (a,0), (0,b) and (1,1) lie on y
1 a
straight line will be
 y  ay  a
ab  y   y  1 a
(1) ab  1 (2) 1
ab
y
ab a
(3) a  b  1 (4) 1 y 1
ab
  

30