DATE : 05/11/2017 MADHYA PRADESH

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)

Direction : In question Nos. 1 to 5 there is a number 7. Waves is related to Air in the same way as Ripples
series with one term missing shown by question mark (?) is related to ...... :
This term is one of the following four alternative given. (A) Water (B) Wind
Choose the correct number from options. (C) Storm (D) Smoke
1. 1, 4, 27, 16, ?, 36, 343 Answer (A)
(A) 25 (B) 87 8. Accident is related to Carefulness in the same way
Disesase is related to ......... :
(C) 120 (D) 125
(A) Treatment (B) Medicine
Answer (D)
(C) Sanitation (D) Doctor
Sol. 13, 22, 33, 42, 53, 62, 73
Answer (C)
2. 4, 7, 12, 19, 28, ? Direction : In question Nos. 9 - 13 there is a question
(A) 30 (B) 36 mark in the blank space and it is only one of the four
alternatives given under the question which satisfies the
(C) 39 (D) 49 same relation as is found between the two patterns to the
Answer (C) left of the sign : : given in the question. Find the correct
alternative.
Sol. +3 +5 +7 +9 +11 9. Clock : Time : : Thermometer : ?
4, 7, 12, 19, 28, 39 (A) Heat (B) Radiation
(C) Energy (D) Temperature
3. 10, 18, 28, 40, 54, ?, 88
Answer (D)
(A) 68 (B) 70
10. Hot : Oven : : Cold : ?
(C) 71 (D) 74
(A) Refrigerator (B) Air Conditioner
Answer (B) (C) Ice Cream (D) Snow
Sol. +8 +10 +12 +14 +16 +18 Answer (A)
10, 18, 28, 40, 54, 70, 88 11. Ornament : Gold : : Needle : ?
(A) Stich (B) Steel
4. 4, 12, 36, 108, ?
(C) Tip (D) Thread
(A) 144 (B) 216
Answer (B)
(C) 304 (D) 324
12. Earth : Sun : : Moon : ?
Answer (D) (A) Orbit (B) Sky
Sol. Multiply by 3 (C) Star (D) Earth
5. 1, 9, 25, 49, ?, 121 Answer (D)
(A) 64 (B) 81 13. South : North-West : : West : ?

(C) 91 (D) 100 (A) East (B) South

(C) North-East (D) South-West
Answer (B)
Answer (C)
Sol. 12, 32, 52, 72, 92, 112
Sol. North-East, Rotate 135 Clockwise.
6. Bread is related to Wheat in the same way as
14. In a certain language MYSTIFY is coded as NZTUJGZ,
Brick is related to ...... : how is NEMESIS coded in that language ?
(A) Fire (B) Cement (A) MDLHRDR (B) OFNFTJT
(C) Clay (D) Building (C) ODNHTDR (D) PGOKUGU
Answer (C) Answer (B)

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 NTSE (S-I) 2017-18
Sol. M Y S T I F Y 18. If Z = 52 and ACT = 48, then BAT will be equal to :

+1 +1 +1 +1 +1 +1 +1 (A) 39 (B) 44
(C) 46 (D) 50
N Z T U J G Z
Answer (C)
N E M E S I S Sol. Z = (26 x 2) = 52, ACT = (1 + 3 + 20) x 2 = 48
+1 +1 +1 +1 +1 +1 +1 BAT = (2 + 1 + 20) x 2 = 46

O F N F T J T 19. Choose the odd one out from following :

15. In certain Code SIKKIM is written as THLJJL. How (A) Ear (B) Eye
is TRAINING written in that Code ?
(C) Nose (D) Throat
(A) UQBHOHOF (B) SQBHOHOH Answer (D)
(C) UQBJOHHO (D) UQBJOHOH Sol. Throat
Answer (A) 20. A woman introduce a man as the son of the brother
of her mother. How is the man related to the
Sol. S I K K I M women?
+1 -1 +1 -1 +1 -1 (A) Cousin (B) Son
T H L J J L (C) Nephew (D) Grandson
Answer (A)
T R A I N I N G
Sol. Mother Mother's Brother
+1 -1 +1 -1 +1 -1 +1 -1
U Q B H O H O F
Woman Son
16. If in a certain language, POPULAR is coded as
21. Manoj has brother Pankaj. Manoj is the son of Ajay.
QPQVMBS, which word would be coded as Somesh is Ajay's father. How Pankaj is related to
GBNPVT ? Somesh ?
(A) FAMOSU (B) FAMOUS (A) Son (B) Grandson
(C) FASOUM (D) FOSAUM (C) Brother (D) Grand Father
Answer (B) Answer (B)

Sol. P O P U L A R Sol. Somesh

+1 +1 +1 +1 +1 +1 +1
Ajay
Q P Q V M B S

G B N P T Manoj Pankaj

-1 -1 -1 -1 -1 -1 22. Today is Akash's Birthday. One year from today, he

will be twice as old as he was 12 years ago. How
F A M O U S old is Akash today ?
17. If PAINT is Coded as 74128 and EXCEL is coded as (A) 25 years (B) 27 years
93596, then how would you code ACCEPT ?
(C) 20 years (D) 22 years
(A) 554978 (B) 735961 Answer (A)
(C) 547978 (D) 455978 Sol. Let present age is x year
Answer (D) x+1 = 2 (x12)
Sol. PAINT EXCEL ACCEPT x+1 = 2x 24
74128 93596 455978 x = 25 years

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 NTSE (S-I) 2017-18

23. A father is now three times as old as his son. Five Sol.
years back, he was four times as old as his son. 14th
The age of the son (in years) is :
40 + 1 = 14 + x
(A) 12 (B) 15
x = 27th
(C) 18 (D) 20
28. A man is facing South. He turns 135 in the anti-
Answer (B)
clockwise direction. Which direction is he facing
Sol. Let age of son = x, age of father = 3x now?
3x 5 = 4 (x5) (A) North-east (B) South-west
3x 5 = 4x 20
(C) North-west (D) South-east
x = 15 years
Answer (B)
24. If the seventh day of a month is three days earlier
than Friday, what day will it be on the nineteenth Sol. + means Anti clock wise rotation
day of the month ? - means clock wise rotation
(A) Monday (B) Wednesday 135o 180o 45o
(C) Friday (D) Sunday i.e. 45 from south in clock wise direction
Answer (D) N
Sol. 7th day = Tuesday
odd day till 19th day will be 12 i.e. 5 W E
Tuesday + 5 day = Sunday

45
25. Saturday was holiday for Republic Day, 14th of the S
next month is again holiday for Shivratri. What day 29. A girst goes 30 meters North, then turns right and
was it on the 14th ? walks 40 meters, then turns right and walks 20
(A) Monday (B) Thursday meters, then again turns right and walks 40 meters.
(C) Tuesday (D) Saturday How many meters is she from the original position?

Answer (B) (A) 0 meter (B) 40 meters

Sol. 26 Jan. Saturday (C) 20 meters (D) 10 meters
no. of odd day from 26th Jan. to 14th Feb. will be Answer (D)
19th i.e. 5 odd day 40 <
<

Saturday + 5 day = Thursday Sol.

26. Lalit ranks seventh from top and twenty-sixth from 30 20
bottom in a class. How many students are there in
the class ?
<
<

(A) 34 (B) 33 40
(C) 32 (D) 31
Answer (C) 30. Which of the following Venn-diagram correctly
illustrate the relationship among the classes (Bus,
Sol. Lalit
Car and Vehicle) ?
7th

26th
(A) (B)
x + 1 = 7 + 26
x = 32
27. Pooja is fourteenth from the right end in a row of 40
girls. What is her position from the left end ?
(A) 27th (B) 26th (C) (D)
(C) 25th (D) 24th
Answer (A) Answer (C)

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Direction : Study the following figure carefully and answer

the question number (36) and (37).
Leaders
Sol. (Bus, Car and Vehicle) Y
6
X 2
Direction : Study the figure given below and answer the 1
question no. 31 to 33. 3 5
4
Indians
5 7
7
6 Z
Singers
6
1 4 9 4 Note : 1, 2, 3, 4, 5, 6, 7 shows the region
3
2 2 36. Which region denotes Indian Leaders who are not
1
singers ?
31. What is the sum of the numbers which belongs to (A) 5 (B) 4
two figures only ?
(C) 3 (D) 2
(A) 6 (B) 15
Answer (D)
(C) 20 (D) None of these
Sol. "2" is Indian leader who is not singer
Answer (C)
37. Which region represents Indian singers who are not
Sol. 2 + 4 + 6 + 8 = 20 leaders ?
32. What is the product of the numbers which belongs (A) 3 (B) 4
to three figures only ?
(C) 1 (D) 2
(A) 27 (B) 162
Answer (B)
(C) 648 (D) None of these
Sol. "4" is Indian singers who is not leader
Answer (A)
Direction : In question numbers (38) to (42) find the
Sol. 3 x 9 = 27 missing number/character marked with question mark (?).
33. What is the sum of numbers which belong to one
figure only ? 38. 13 19 71 9 128 32
(A) 5 (B) 16
(C) 21 (D) None of these
Answer (C)
Sol. 3 + 1 + 5 + 7 + 1 + 4 = 21 4 10 ?
Direction : Study the number series given below and (A) 10 (B) 15
answer the questions (34) and (35). (C) 20 (D) 25
Series Answer (C)
6, 4, 1, 2, 2, 8, 7, 4, 2, 1, 5, 3, 8, 6, 2, 1, 7, 1, 4, 3, 1,
2, 8, 6 13 19 71 9 128 32
Sol. 8, 8, 8, x = 20
34. How many pairs of successive numbers having 4 10 x
difference of 2 each ? 39. 20160 4
(A) Four (B) Five ? 4
(C) Six (D) Seven
480 8
Answer (C)
96 24
Sol.
(A) 2880 (B) 2800
35. Which figures have equal frequencies ?
(C) 2400 (D) 1920
(A) 4, 6, 8 (B) 1, 4, 6
Answer (A)
(C) 1, 2, 3 (D) 4, 5, 7
Answer (A) Sol. 4x1 4, 4x2 8, 8x3 24, 24x4 96,

Sol. 4, 6, 8 comes three times each. 96x5 480, 480x6 2880, 2880x7 20160
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 NTSE (S-I) 2017-18

44. Problem Figure

? 1
8 2
40.
5 3
Answer Figure
(A) 10 (B) 12
(C) 13 (D) 15
Answer (C)
Sol. 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, 5 + 8 = 13
(A) (B) (C) (D)
41. 5 4 9
Answer (C)
6 3 ? 45. Problem Figure

7 2 4

65 20 45 Answer Figure
(A) 1 (B) 2
(C) 3 (D) 4
Answer (A)
Sol. 5 x (6 + 7) = 64, 4 x (3 + 2) = 20, (A) (B) (C) (D)
9 x 1 4 45 Answer (B)
A D H 46. Problem Figure
42.

F I M

? N R

(A) P (B) N Answer Figure

(C) O (D) K
Answer (D)
Sol. A 1 5 F 6 5 K 11
D 4 5 I 9 5 N 14 (A) (B) (C) (D)
H 8 5 M 13 5 R 18
Answer (D)
Direction : Question number (43) to (47) have a series
with four figures called the problem figures. Bearing series 47. Problem Figure
in mind, choose the correct fift blank figure (marked with?)
from answer figures.
43. Problem Figure

Answer Figure

Answer Figure

(A) (B) (C) (D)

(A) (B) (C) (D)
Answer (A) Answer (A)

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 NTSE (S-I) 2017-18

Direction : Each of the following equestion (48) to (50) Answer figure

consists of two sets of figure namely 1, 2, 3 & 4, called
problem figure while fig. (A), (B), (C) & (D) constitute the
Answer Set. There is a definite relation between figure 1
& 2. Establish a similar relation between Figures 3 & 4
by choosing suitable fig. 4 from the Answer set.
48. Problem Figure (A) (B) (C) (D)

Answer (C)
50. Problem figure

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

Answer Figure

1 2 3 4

Answer Figure
(A) (B) (C) (D)
Answer (D)
49. Problem Figure

(A) (B) (C) (D)

(1) (2) (3) (4) Answer (B)

PART-II : LANGUAGE TEST

Directions (Q.1 to Q.6) : 5. God helps those who help.............
Choose the correct word from the options to fill in the (A) itself (B) themselves
blanks. (C) himself (D) herself
1. The fuel ............... of Mr. Mohan's car is very high. Answer (B)
(A) consumption (B) usage 6. Reading good books will ......... your outlook.
(C) rate (D) expenditure (A) Broad (B) Broaden
Answer (A) (C) Weaken (D) Vast
2. I am working hard ............... the examination Answer (B)
(A) to get on (B) to get through Directions (Q.7 to Q.10) :
(C) to get up (D) to get over Choose the correct meaning of the phrases/idioms given
Answer (B) below.
3. Water is precious, do not ............. it. 7. At one's fingertips
(A) waste (B) waist (A) to take revenge (B) matter of shame
(C) west (D) vest (C) complete knowledge (D) None
Answer (A) Answer (C)
4. She is the girl ............. book I borrowed for reading. 8. A hard nut to crack:
(A) who (B) whose (A) expensive thing (B) a difficult problem
(C) whom (D) which (C) a foolish resarch (D) an easy question
Answer (B) Answer (B)

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 NTSE (S-I) 2017-18

9. At the spur of the moment: 17. The police are looking for a ................ of thieves.
(A) without delay (B) difficult moment (A) troop (B) gang
(C) great moment (D) None of the above (C) crew (D) party
Answer (A) Answer (B)
10. Mrs. Roy keeps an open house on Saturday evening 18. The duck ............ and then dived into the water.
parties. You will find all kinds of people there.
(A) bellowed (B) grunted
An open house means-
(C) quacked (D) barked
(A) Welcomes all members.
Answer (A)
(B) Welcomes a select group of people
Directions (Q.19 to Q.25) :
(C) Keeps the doors of the house open.
The following passage contains numbered blank spaces.
(D) Keeps the gates open for a few persons.
Fill in the blanks with the appropriate word given in each
Answer (A) space.
Directions (Q.11 to Q.14) : He was happy and contented ........... (19) he was
Select the word that is opposite in meaning to the word poor. He never showed signs of frustration ............ (20)
given: his friends who were rich were always in distress. .......
11. Numerous: (21) of the problems he had to face, he remained calm
and composed and so the people liked his company.
(A) abundant (B) manifold
................ (22) He went he spread happiness. I don't
(C) scanty (D) Comprising know ...........(23) he could be so happy ...........(24) he
Answer (C) had nothing but few comforts in life. He was hard
12. Vibrant: working..........(25) that was the only secret of his success
in life.
(A) vivacious (B) sparkling
19. (A) though (B) Although
(C) dull (D) spirited
(C) when (D) for
Answer (C)
Answer (A)
13. Evil:
20. (A) While (B) When
(A) vicious (B) corrupt
(C) wicked (D) virtuous (C) though (D) because

Answer (D) Answer (A)

14. Zenith: 21. (A) Inspite of (B) Instead of

(A) culmination (B) summit (C) Even though (D) Even
(C) pinnacle (D) bottom Answer (A)
Answer (D) 22. (A) Wherever (B) Whenever
Directions (Q.15 to Q.18) : (C) Whichever (D) Whatever
Select the most appropriate option to fill the blanks from Answer (A)
the given alternatives.
23. (A) how (B) when
15. Shimla is ..............than that of Jalandhar.
(C) why (D) what
(A) colder (B) coldest
Answer (A)
(C) cold (D) as cold as
24. (A) When (B) while
Answer (A)
(C) yet (D) what
16. Hardly had they reached the school ......... the bell
rang. Answer (B)
(A) when (B) than 25. (A) and (B) but
(C) until (D) behind (C) As far as (D) So far as
Answer (A) Answer (A)

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 NTSE (S-I) 2017-18

Directions (Q.26 to Q.28) : staff. Forget the minsters because they mix pilitics and
Read the following passage and answer the questions administration. What do top bureaucrats do? What do the
given after it. below down officials do? The administration set up
remains weak mainly because the employees do not have
A large number of people are consuming packaged the right example to follow and they are more concerned
food because it has become a matter of convenience, about being in the good books of the bosses rather than
pleases the taste buds and fills your stomach. Also it is doing work.
important to note the quality of packaging used for these
29. The employees in our country:
products and whether additives are used or not to
increase their shelf-life. For example, dairy products like (A) are quite punctual but not duty conscious.
milk that comes in tetra packs comes without additive and (B) are not punctual, but somehow manage to
due to no contact with air, it remains fresh for a long complete their work.
period of time. The ready to eat food products are
(C) are somewhat lazy but good natured.
specially laden with preservatives and have excess oil in
form of transfats, which can be a threat to health. The (D) are not very highly qualified.
problem with canned or processed food is that they have Answer (A)
excessive salt or sugar. Cooking at home is always a
30. The word 'assessment' means:
healthy option over junk food. What one needs to do is
a little bit of time management and planning. We should (A) enquiry (B) report
stick to those food items that we are genetically used to (C) evaluation (D) summary
such as Indian food cooked by traditional methods.
Answer (C)
26. Why are more and more people consuming packed
31. The leadership in adminstration
food? It is because:
(A) sets a fine example to the employees.
(A) it is cheap.
(B) is of a reasonably high standard.
(B) it is convenient, tasty and fulfilling.
(C) is composed of idealists
(C) it is time consuming.
(D) is of a very poor standard.
(D) it is good for health.
Answer (D)
Answer (B)
32. According to the writer, the administration in India:
27. Ready to eat products are laden with:
(A) is by and large effective
(A) Proteins (B) Vitamins (B) is very strict and firm
(C) Minerals (D) Preservatives (C) is affected by red tape
Answer (D) (D) is more or less ineffective
28. Why do you think cooking at home is a healthier Answer (C)
option? It is because .........
33. The central idea of the passage could be best
(A) It does not contain preservatives or excess of expressed by the following:
salt or sugar.
(A) The employees outlook towards work is justified.
(B) It helps in time management and planning.
(B) The employees must change their outlook
(C) It pleases the taste buds and fills the stomach. towards work.
(D) It is genetically good. (C) The employees would never change their work
culture.
Answer (A)
(D) The employer-employee relationship is far from
Directions (Q.29 to Q.33) :
healthy.
Read the following passage and answer the question given
Answer (B)
after it:
Directions (Q.34 to Q.40) :
What needs to be set right in our approach to work.
It is a common sight in our country of empolyees repoting Choose the word which best fills the blank from the four
for duty on time and at the same time doing little work. options given below:
If an assessment is made of time, they spent in 34. Please ........... your votes in favour of me.
gossiping, drinking tea, eating "pan" (paan) and smoking
(A) Caste (B) Cost
cigarettes, it will be shocking to know that the time
devoted to actual work is negligible. The problem is the (C) Cast (D) Cancel
standard which the leadership in adminstration sets for the Answer (C)
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 NTSE (S-I) 2017-18

35. Sachin Tendulkar ............. an impossible win for 43. I am not able to make out anything from your
India. speech :
(A) brought off (B) brought before (A) conclude (B) understand
(C) brought up (D) brought for (C) create (D) prepare

Answer (A) Answer (A)

36. Shakespeare .............. Macbeth. Directions (Q.44 to Q.50) :

Select the most appropriate option to fill in the
(A) read (B) wrote
blanks from the given alternatives.
(C) write (D) written
44. There is going to be a beauty ............. in our
Answer (B) school.
37. The car driver was arrested for rough driving and his (A) contest (B) consent
license was: (C) conquest (D) fare
(A) impounded (B) confiscate Answer (A)
(C) suspended (D) penalised 45. Extraordinary expenses .............. be limited by the
Answer (C) worth of an occassion.
(A) must (B) dare
38. The police ........... no stone unturned to trace the
culprits. (C) are (D) is
(A) leave (B) left Answer (A)

(C) live (D) None of the above 46. One could see ............. her resemblance to her
brothers.
Answer (B)
(A) at a glance (B) a glimpse of
39. AIDS is not a disease that can be through the air or
(C) in a glance (D) off
by insects.
Answer (B)
(A) circulated (B) transferred
47. Disaster means:
(C) disseminated (D) transitted
(A) a pleasing incident (B) distantly situated
Answer (D)
(C) which brings happiness
40. Had you told me of the short cuts earlier, I ...... the
(D) an unexpected event that causes loss of lives or wealth
contest.
Answer (D)
(A) will have won (B) would have won
48. Paddy fields are:
(C) would be won (D) will be won
(A) fields where rice is grown (B) big fields
Answer (B)
(C) fields where wheat is grown
41. Either Ram or Shyam ............. lost his book.
(D) fertile and big fields
(A) has (B) have
Answer (A)
(C) had (D) have been
49. If that kind of thing .............. on peacefully, there is
Answer (A) no harm in it.
Directions (Q.42 & Q.43) : (A) go (B) goes
Choose the correct word to substitute the phrasal verbs (C) went (D) gone
underlined. Answer (B)
42. They decided to do away with the old system: 50. He ................ just like an angel.
(A) remove (B) repair (A) looks (B) look
(C) prepare (D) reject (C) seemed (D) pretended
Answer (A) Answer (A)

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 NTSE (S-I) 2017-18

PART-III : SCHOLASTIC APTITUDE TEST (SAT)

1. A car covers 30 km at a uniform speed of 60 km/hr.
k2 1 1 v
and the next 30 km at a uniform speed of 40 km/hr.
Sol. x2 m2 v22 2
The total time taken is: p2 m2 v2 2 2
(A) 30 min (B) 45 min
k1 1 1 v
(C) 75 min (D) 120 min x1 mv12 1
p1 m1v1 2 2
Answer (C)

2VV Total distance x2

Sol. V V V Total time
1 2
2 (If V = 2V )
1 2 x1 2 1

2 60 40 60 4. Calculate the wavelength of radio waves of frequency

109 Hz. The speed radio waves is 3 x 108 m/s.
100 t
(A) 60 cm (B) 40 cm
8 1 (C) 30 cm (D) 10 cm

10 t Answer (C)

t
10
hr. 75min.
Sol. V
8
V 3 10 8
2. A stone is thrown upwards with a speed "u" from 30 cm
the tip of a tower. It reached the ground with a 10 9
velocity "3u". The height of the tower is: 5. A force of 16 N is distributed uniformly on one
surface of a cube of edge 8 cm. the pressure on
u2 2u 2 this surface is :
(A) (B)
g g (A) 3500 Pa (B) 2500 Pa
(C) 4500 Pa (D) 5500 Pa
2 2
3u 4u Answer (B)
(C) (D)
g g Thrust
Sol. P =
Answer (D) Area
A = 8 X 8 X 10-4 m2 = 64 X 10-4 m2
u
Sol. 16
P = 2500 Pa
64 104
6. In which of the following cases, is the work done
maximum.
3u

F F

V2 = u2 + 2gs (A) 30 (B) 45

9u2 u2 = 2gh S S

4u 2
h
g F F
(C) (D)
3. When the speed of a particle is doubled, the ratio of S
its kinetic energy to its momentum : S
(A) remains the same (B) gets doubled Answer (D)
(C) becomes half (D) becomes four times Sol. Work = FScos
Answer (B) at = 0, Work done by force is maximum.
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 NTSE (S-I) 2017-18

7. The total electrical resistance between the points A 12. The focal length of each half, if the symmetrical lens
and B of the circuit shown in : of focal length f cut along AB :
10 10 10
A
20 B
A

20 20 C D

(A) 9.23 (B) 15

B
(C) 30 (D) 100
Answer (A) 1
(A) f (B) f
10 10 10 30 2
(C) 2f (D) Zero
20 20

Sol. 20 20 Answer (C)

40
Sol. Lens maker formula
1 1 1 1 R

R eq 30 40 20 f
2( 1)
R eq 9.23 R
f '
8. Two wires of same material have lengths L and 2L
( 1)
and cross-sectional areas 4A and A respectively. The f' = 2f
ratio of their resistances would be:
13. Two bodies of unequal masses posses the same
(A) 1 : 1 (B) 1 : 8 momentum. The K.E. of the heavier mass will be
(C) 8 : 1 (D) 1 : 2 ............... the K.E. of the lighter mass.
Answer (B) (A) same as (B) greater than
R1 L A 1 (C) less than (D) much greater than
Sol.
R2 2 L 4 A 8 Answer (C)
9. Wire of resistance R is stretched to thrice of its 1
original length, what is its new resistance? Sol. KE
m
R
(A) 9R (B) 14. Electron was discovered by :
9
(A) J. J. Thomson (B) Chadwick
(C) 3R (D) R/3
(C) E. Goldstein (D) Rutherford
Answer (A)
Answer (A)
2
R1 l1 Sol. Electron was discovered by J. J. Thomson.
Sol.
R2 l2 15. The chemical formula of Gypsum is :
R2 = 9R (A) CaCO3 . 5H2O
10. Galaxy in which we live is : (B) CaSO4 . 2H2O
(A) Milky way (B) radio galaxy 1
(C) circular galaxy (D) irregular galaxy (C) CaSO 4 . H 2O
2
Answer (A)
1
11. Vision problem occurring in old age is known as : (D) CaSO 3 . H 2O
(A) Myopia (B) Presbyopia
2
(C) Hypermetropia (D) Anepia Answer (B)
Answer (B) Sol. Gypsum CaSO4.2H2O (Fact)

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 NTSE (S-I) 2017-18

16. The process in which the red hot cast iron is cooled 22. What is the electronic configuration of elements of
immediately in cold water is known as : IIIrd group:
(A) Tempering (B) Quenching (A) 1s2, 2s2, 2p3
(C) Annealing (D) Bleaching
(B) 1s2, 2s2 2p6, 3s2, 3p1
Answer (B)
(C) 1s2, 2s2 2p6
Sol. The process in which Red hot cast Iron is cooled
immediately in cold water is known as Quenching (D) 1s2, 2s2 2p6, 3s1
(fact)
Answer (B)
17. Electronic configuration of Na+ is :
(A) 2, 8, 1 (B) 2, 8, 8 Sol. Electronic configuration of elements of IIIrd group:

(C) 2, 8 (D) 2, 8, 8, 1
1s 2 , 2 s 2 , 2 p 6 ,3s 2 ,3 p1
Answer (C)
Sol. 2, 8 (By electronic configuration Rule = 2n2) (Group No = No. of Valence electrons)

18. Valency of Sulphur atom in SO2 is : 23. The gas produced on addition of dilute Sulphuric acid
on powdered zinc is :
(A) 3 (B) 2
(C) 4 (D) 6 (A) SO2 (B) S
Answer (C) (C) H2 (D) O2
Sol. (0 = S = 0) Answer (C)
19. Write IUPAC name of :
Sol. Zinc reacts with dilute sulphuric to form acid and
form zinc sulphate along with the evaluation of
Hydrogen gas (H2)

(A) 2, 2 dimethyl propane

Zn H 2 SO4 ( dil ) ZnSO4 H 2 ( g )
(B) 2, methyl butane
(C) 2, 2 dimethyl ethane (D) 2, methyl propane H2(gas)
Answer (D)
Sol. IUPAC name of : 24. Name of functional group
1 2 3
(A) Aldehyde (B) Ketone
(C) Alcohol (D) Carboxylic acid
2-Methyl propane Answer (D)
20. Stainless steel contains :
(A) Fe, Ni, Cr (B) Fe, Ni, Sn
Sol. Carboxylic functional group.
(C) Fe, C, S (D) Fe, P, Cr
Answer (A)
25. Type of bond present between carbon-carbon atoms
Sol. Stainless steel contain in Ethene is :
Fe, Ni, Cr (fact) (A) Single covalent bond (B) Double covalent bond
21. If there are 12 neutrons in an atom and its atomic
number is 11. Then how many electrons are present (C) Triple covalent bond (D) Electrovalent bond
in it : Answer (B)
(A) 23 (B) 12
Sol. Ethene CH2 = CH2
(C) 10 (D) 11
Answer (D)
Sol. Atomic number (Z) = No. of electrons = No. of
Protons
Z = 11 = No. of electrons. Double covalent bonds

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 NTSE (S-I) 2017-18

26. Structure of PVC is : 32. F2 ratio in Dihybird cross is :

(A) 1 : 2 : 1 (B) 7 : 3 : 6
(A) (B)
(C) 9 : 3 : 3 : 1 (D) 3 : 1
Answer (C)
(C) (D) Sol. F2 generation - Round and yellow 9
Round and green 3
Wrinkled and yellow 3
Answer (A)
Wrinkled and green 1
Sol. Structure of PVC is Fact 33. Which organ is known as 'Blood bank' :
(A) Heart (B) Liver
(C) Spleen (D) Kidney
27. Who proposed the term Ecosystem :
Answer (C)
(A) A. G. Tensley (B) E. P. Odum
Sol. Spleen is the organ responsible for purifying blood as
(C) Carl Mobius (D) Earnst Haeckel well as storing blood cells. It is known as the blood
Answer (A) bank.

Sol. Fact 34. Which blood group is called ''Universal donor" :

(A) A (B) B
28. In the process of Photosynthesis, th source of
Oxygen is : (C) AB (D) O
(A) CO2 (B) H2O Answer (D)
Sol. Because it does not have any antigen on the surface
(C) C6H12O6 (D) None of these
of RBC's.
Answer (B)
35. Oxygen in our blood is transported by a Protein,
Sol. Photolysis of water takes place during named :
photosynthesis. (A) Keratin (B) Collagen
29. Which component is formed by plants in the (C) Haemoglobin (D) Myoglobin
ecosystem : Answer (C)
(A) Decomposer (B) Consumer Sol. Haemoglobin is respiratory pigment which involves in
(C) Producer (D) All of the above the transportation of Oxygen.

Answer (C) 36. The end product of glycolysis is :

(A) Phosphoric acid (B) Malic acid
Sol. Because they are present on Ist trophic level of
ecological pyramid. (C) Pyruvic acid (D) Fumaric acid
30. Which of the following is a plant hormone : Answer (C)

(A) Insulin (B) Cytokinin Sol. In the cytoplasm, one molecule of glucose convert
into 2 molecule of pyruvic acid during glycolysis.
(C) Thyroxin (D) Oestrogen
37. Which of the following gases related with acid rain:
Answer (B) (A) NO2 & CO2 (B) CH4 & SO2
Sol. Cytokinin is a plant hormone and rest all are animal (C) CO2 & SO2 (D) SO2 & NO2
hormones.
Answer (D)
31. Power house of cell is known as : Sol. Oxides of sulphur and oxides of nitrogen dissolve in
(A) Golgi bodies (B) Mitochondria rain and forms acid .
(C) Ribosome (D) Lysosome 38. The Grana & Stroma are the parts of which cell
organelles :
Answer (B)
(A) Mitochondria (B) Chloroplast
Sol. Because Aerobic Respiration takes place in
(C) Ribosome (D) Golgi bodies
mitochondria and energy is released in the form of
ATP. Answer (B)

14
 NTSE (S-I) 2017-18

39. Reproduction in Bryophyllum takes place by : 48. Which Sultan is known as Mad (Sanki) Sultan in
history:
(A) Root (B) Leaf
(A) Allauddin Khilji (B) Balban
(C) Stem (D) None of these
(C) Muhammad Tuglak (D) Ferozshah Tuglak
Answer (B)
Answer (C)
Sol. Leaf of Bryophyllum have buds which involves in
vegetative reproduction. 49. Tajmahal is situated at:
(A) Chattarpur (B) Patna
40. Botanical name of Tulsi is :
(C) Agra (D) Mumbai
(A) Saraca Indica (B) Ficus benghalensis
Answer (C)
(C) Phyllanthus emblica (D) Ocimum sanctum
50. Shivaji's mother name was
Answer (D)
(A) Jijabai (B) Baijabai
41. Sachi Stupa is related to which religion?
(C) Chandbiwi (D) Tarabai
(A) Jain (B) Buddhism
Answer (A)
(C) Bhagvat (D) Shakt
51. Founder of Azad Hind Fauz was:
Answer (B) (A) Pandit Jawahar Lal Nehru
42. Mohanjodaro (Saraswati Sindhu) Civilization is (B) Mohan Das Karamchand Gandhi
discovered by:
(C) Subhash Chandra Bose
(A) Rai Bahadur Sahni (B) Rakhal Das Banerjee
(D) Sir Saiyad Ahmed Khan
(C) Ram Choudhary (D) V.D. Mahajan
Answer (C)
Answer (B) 52. Chandrashekhar Azad was born at:
43. Buddhism is started by: (A) Madhya Pradesh (B) Bihar
(A) Dr. B.R. Ambedkar (B) Mahaveer Swami (C) Delhi (D) Bengal
(C) Mahatma Budh (D) Samrat Ashok Answer (A)
Answer (C) 53. Quit India Movement is started by:
44. Samrat Ashok was ruler of: (A) Indira Gandhi
(A) Bhopal (B) Pataliputra (B) Ballabh Bhai Patel
(C) Delhi (D) Vidisha (C) D.P. Mishra

Answer (B) (D) Mohan Das Karamchand Gandhi

45. Most powerful ruler of Gupta dynasty was: Answer (D)

54. Rashtriya Swayam Sewak Sangh was established
(A) Shree Gupt (B) Kumar Gupt
in:
(C) Skand Gupt (D) Samudra Gupt
(A) Vijaydashmi-1925 A.D.
Answer (D) (B) Vijayadashmi - 1930 A.D.
46. Who was the founder of the kingdom of Vijay Nagar? (C) Deepawali - 1942 A.D.
(A) Harihar and Bukka (B) Krishnadev Roy (D) Deepawali - 1947 A.D.
(C) Dev Roy II (D) Harihar II Answer (A)
Answer (A) 55. Founder of Rashtriya Swayam Sewak Sangh was
47. Mehrauli Situated Kutubminar of Delhi is constructed (A) Guru Golwalkar
by: (B) Keshav Baliram hegdewar
(A) Shahajahan (B) Aaram Shah (C) Lala Lajpat Rai
(C) Kutubuddin Ebak (D) Babar (D) Atal Bihari Vajpayee
Answer (C) Answer (B)

15
 NTSE (S-I) 2017-18

56. Coal, Petrol are the type of resources: 65. Weather maps are published in India from:
(A) Non Renewable resources (A) Mumbai (B) Pune
(B) Renewable resources (C) Delhi (D) Dehradun
(C) Frequently used resources Answer (B)
(D) Eternal Natural resources 66. Which type of disaster in Bhopal gas tragedy:
Answer (A) (A) Natural disaster (B) Industrial disaster
57. Why red soil has red colour? (C) Chemical disaster (D) All of the above
(A) Because it contains phosphoric acid Answer (B)
(B) Because it contains Humus 67. In which state in India Tuticorin port is situated?
(C) Because it contains Nitrogen (A) Tamilnadu (B) Karnataka
(D) Because it contains Iron (C) Andhra Pradesh (D) Kerala
Answer (D) Answer (A)
58. The name of operation flood is known: 68. Tsunami is:
(A) Yellow revolution (B) Blue revolution (A) Cyclone (B) Anticyclone
(C) White revolution (D) Pink revolution (C) High Oceanic waves (D) All of the above
Answer (C) Answer (C)
59. Which is not a variety of coal? 69. Which country is biggest contributor of trade in India:
(A) Anthracite (B) Bituminous (A) United State of America
(C) Lemonite (D) Lignite (B) United Kingdom
Answer (C) (C) Belgium
60. Which is the most cheapest means of transport: (D) Germany
(A) Water transport (B) Air transport Answer (A)
(C) Rail transport (D) Road transport 70. To all those customer who do not have computers
Answer (A) or internet to them they are provided
61. What is Knot? telecommunication through:

(A) Unit of measuring wind velocity (A) Vyaparik Channel (B) Speed Post
(B) Unit of measuring air pressure (C) e-Post (D) e-Bill Post
(C) Unit of measuring temperature Answer (C)
(D) Condition of sky 71. Indian National Congress was formed in the year:
Answer (A) (A) 1885 (B) 1900
62. Which crop is mostly grown in India? (C) 1920 (D) 1947
(A) Wheat (B) Pulses Answer (A)
(C) Rice (D) Bajra 72. Who was the president of the drafting committee?
Answer (C) (A) Rajendra Prasad (B) Ambedkar
63. Which is not forest based Industry: (C) Gandhi Ji (D) Nehru Ji
(A) Paper Industry (B) Wood Industry Answer (B)
(C) Rubber Industry (D) Sugar Industry 73. Who was the first president of Indian National
congress?
Answer (D)
(A) A.O. Hume
64. Bhilai iron and steel industry situated in which state
of India: (B) Surendranath Banerjee
(A) Chattisgarh (B) Karnatak (C) Wyomesh Chandra banerjee
(C) West Bengal (D) Odisha (D) Mahatma Gandhi
Answer (A) Answer (C)

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 NTSE (S-I) 2017-18

74. Who safeguards the fundamental rights?

cos2 tan2 1
(A) Prime Minister (B) President 81. The Value of is :
sin2
(C) Parliament (D) Supreme Court
(A) sin2 (B) cos2
Answer (D)
75. What is the minimum age to become a member of (C) cot 2 (D) tan2
Legislative Assembly? Answer (D)
(A) 21 years (B) 25 years
tan2 sin2 sin2 1
(C) 30 years (D) 35 years Sol. 1 tan2
sin
2
sin cos
2 2

Answer (B)
76. Per capita income refers to which of the following cos2 20o cos2 70o
82. Value of is :
(A) Whole income (B) Average income sin2 59o sin2 31o
(C) National income (D) Net income (A) 0 (B) 1
Answer (B)
1
77. Which of the following is the criteria of measurement (C) (D) 1
2
of economic development?
Answer (B)
(A) National Income
(B) Economic Welfare sin2 70o cos2 70o 1
Sol. 1
(C) Social Welfare sin2 59o cos2 59o 1

(D) All the above 83. Which value of m, equation

Answer (A) 2x my 4 0,
78. Education and Health belong to which of the 3x 7y 10 0
following?
has no solution ?
(A) Social infrastructure
(B) Economic infrastructure 2
(A)
3
(C) Physical infrastructure
(D) All the above 4
(B)
Answer (A) 10
79. In which of the following year India has adopted the
14
New Economic Policy? (C)
3
(A) 1990
(B) 1991 14
(D)
3
(C) 1992
(D) 1993 Answer (C)

Answer (B) Sol. For no solution

80. Multi-national Company Means: 2 m 4 14

m
3 7 10 3
(A) A company whose work relates to production
(B) A company whose work relates to sale 84. Zeroes of the polynomial x3 4x 2 7x 10 are :

(C) A company whose business is spread over (A) 1, 5, -2 (B) 1, -5, 2

several countries (C) -1, 5, 2 (D) 1, -5, -2
(D) A company whose shareholders are spread in Answer (A)
whole world
Sol. At x =1, 5, -2, value of the polynomial becomes
Answer (C) zero.
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 NTSE (S-I) 2017-18

85. Which rational expression should be added to 88. The angle of elevation of the sun when the length of
the shadow of a tower is equal to its height is :
x x2 2 x 1
to get 2 ?
x(x 2 1) x 1 (A) 30o (B) 45o

(C) 60o (D) 90o

x 2
(A) (B)
2 x Answer (B)

(C) 2x (D) x 2 h
Sol. tan
b
Answer (B)

x x2 2 x 1
h
K 2 tan 1 (h b)
Sol. Let
x(x 1)
2
x 1 b
45 0

x 1 x x2 2
K= 2
x 1 x(x 2 1) 89. The value of sin (cosec - sin ) is :

x2 x x x2 2 (A) sin2 (B) tan2

x(x 2 1) (C) cot 2 (D) cos2

2(x 2 1) 2 Answer (D)

x(x 2 1) x
1 1 sin2
Sol. sin ( sin ) sin x
86. Length of Chord which is at a distance of 3 cm. from sin sin
the centre of circle of radius 5 cm. is : = cos2
(A) 4 cm. (B) 6 cm. 90. Two coin are tossed simultaneously, then the
(C) 8 cm. (D) 10 cm. probability of getting head on the coin and tail on
another coin is :
Answer (C)
(A) 2 (B) 1/2
Sol. In AOB,
(C) 4 (D) 1/4
by Pythagoras theorem
Answer (B)
AB 4 AC 2AB
Sol. Total number of cases = 4
AC 8
Favourable number of cases = 2
87. The height of a hollow cylinder is 14 cm. If external
2 1
diameter is 16 cm and total curved surface area of Required Probability =
the hollow cylinder is 1320 sq. cm., then its internal 4 2
diameter is : 91. Sita and Gita are friends, what is the probability that
(A) 14 cm. both will have different birthdays (ignoring a leap
year)
(B) 16 cm.
1 1
(C) 6 cm. (A) (B)
365 364
(D) 8 cm.
364
Answer (A) (C) (D) None of these
365
Sol. h = 14 cm. R = 8 cm.
Answer (C)
T.C.S.A. = 2h(R r)
Sol. Total number of cases = 365
22 Favourable number of cases = 364
1320 = 2x x14(8 r) r 7
7 364
Required Probability =
Diameter 2r 14cm 365

18
 NTSE (S-I) 2017-18

92. Five years ago age of Sunita was thrice the age of 2
Vineeta. After 10 years Sunita's age will be twice the sin 49O cos 41O
96. Value of O
is :
age of Vinita, what is the present age of Sunita ? cos 41 sin 49O
(A) 50 years (B) 20 years
(A) 2 (B) 4
(C) 70 years (D) 30 years
(C) 1 (D) None of these
Answer (A)
Answer (B)
Sol. Let present age of Sunita = x
Sol. 1 1 4
2
and present age of Vineeta = y
According to question,
97. A quadratic equation ax 2 bx c 0 has no real
x 5 3(y 5) x 10 3y ...(1) roots, if :
and x 10 2(y 10) 3y 4(y 10) (A) b2 4ac 0 (B) b2 4ac
y 20 from(1) , x=50 years
(C) b2 4ac (D) b2 4ac 0
93. How many two-digit numbers are divisible by 2 : Answer (C)
(A) 30 (B) 40
Sol. b2 4ac 0 b2 4ac
(C) 45 (D) 50
98. The sum of pair of opposite angles of a cyclic
Answer (C)
quadrilateral is :
Sol. 10, 12, 14, ....., 98
(A) 90O (B) 180O
2x5, 2x6, 2x7, ........, 2x49
Total number = (49-5)+1=45 (C) 270O (D) 360O
Answer (B)
94. If A and B are two non empty sets then (A B)c
99. The sum of first 20 terms of AP : 8, 3, -2, ..... is:
(A) A B
C C (B) A B
C C
(A) 790 (B) 970
(C) A BC (D) A C B (C) 979 (D) 779

Answer (B) Answer (A)

Sol. (A B)C A C BC 20
Sol.
2
2x8 19x( 5) 790
95. How many spheres of iron having radius 1 cm. can
be made by melting a sphere of iron having 8 cm. 100. The diameter of a cycle wheel is 1.6 m. The wheel
radius? revolves 21 times in one minutes, then how much
distance will the cycle cover in one hour :
(A) 64 (B) 128
(A) 3.636 km. (B) 6.336 km.
(C) 356 (D) 512
(C) 6.633 km. (D) 2.640 km.
Answer (D)
Answer (B)
4 4
Sol. x 13 x n x83 22
3 3 Sol. Distance covered = 60 x 21x 2 x x 0.8
7
n 512 =6.336 km.

  

19