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Transcript of Rao IIT Academy – A Division of Rao Edusolutions Pvt. Ltd. · 44 Rao IIT Academy – A Division...

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Now go to the next page and start answering the questions

NTSE -2017-18Instructions to Candidates

Read these Instructions carefully before attempting the questions.1. There are 200 questions carrying one mark each in this paper. Each question is to be

answered.

2. For this paper, prescribed duration is 3 hours (180 minutes)

3. Answer to each question is to be indicated by blackening, with HB pencil, full darkencorresponding oval of correct one alternative number by HB pencil. The scanner will notaccept the answer if the oval is not filled completely dark, if so, the candidate will beresponsible for it. If you want to change the wrong answer then rub it and indicate byblackening right oval.

4. Please write your Roll No. in a right way .

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Timing : 45 Minutes Paper-1 (MAT) Max. Marks : 50

Study the information and answerthe following question :In a certain coded language'' Kite fly in sit '' is coded as'' X25G D5L S20T M14J '''' Exam date are search '' is coded asXL13F D5B D5E G&T '''' Solution in must for '' is coded as'' M14T S20N R19J Q18G'''' Very problem may wrong '' is coded as''F7X X25N L13Q X25W''

1. What is the code for ''school '' in thegiven code language(a) K21R (b) R12K(c) K12T (d) None

2. What is the code for '' Fight problem''(a) L13Q S19G (b) G20S L13Q(c) S20G L13Q (d) None

3. What is the code for '' Money Quick Sky''(a) X25N J11N T25X(b) X25N X25T J11R(c) J11R X25T N25X(d) None

4. What is the code for '' Student''(a) T21S (b) S20T(c) S194 (d) None

5. What is the code for '' Kind Work''(a) L12X L4C (b) K12X L4C(c) J11X C4L (d) None

6. In a row at a bus top , A is 9th from theright & B is 7th from left. They both interchange their positions If there are 20people in the row .What will be the newpostion of B from the left ?(a) 11th (b) 12th(c) 13th (d) 14th

Q Study the information and answer thefollowing questionsIn certain code language'' Never try to work '' is coded as '' L%4L*8 I#9 V@15'''' Extra need in mountain '' is coded as ''C@15 M % 4 V#8 L*16 '''' train way fast all '' is coded as '' Z%9Z#8 I@15 O*9 ''

7. What is the code for '' environment ''(a) M@30 (b) N*29(c) M %20 (d) M%33

8. What is the code for '' University''(a) M @ 30 (b) N * 29(c) M%20 (d) M#25

9. What is the code for '' Inside''(a) R#12 (b) M*12(c) R*9 (d) M%20

10. If code for '' never defend thing book '' is''V @ 12 S * 15 V @ 15 L % 8" thenwhat is code for '' Book thing is important(a) L % 8 S * 15 H * 4 N # 18(b) L % 8 H @ 4 S * 15 N # 27(c) L % 8 S @ 15 S @ 15 H * 4(d) None

11. What is code for ' air high ''(a) R @ 9 R % 12 (b) R # 9 R & 9(c) R % 9 R @ 8 (d) R # 9 R % 8

12. A Person walk 5 km toward south fromPoint A and take right turn and walk 8 kmand reach point B. From point B he takesright turn and walk 7 km and reach point CFrom C he takes right turn and walk 10 kmand reach point D . From D he takes againright turn and walk 2 km and reach pt E. If there is a point X which is 2 km northfrom point A, then X is in which directionwith respesct to E ?(a) North west (b) South west(c) North east (d) None

Q Study the information and answer thefollowing question :In a certain coded language'' Honest try to study '' is coded as ''BR20 GO8 LO20 BT19'''' Work hard win sit '' is coded as '' WA8PO23 MI23 GI19'''' Mind way pen work'' is coded as '' WI13ME16 BA23 PO23'''' Star John Sky Blue '' is coded as '' IT19VL2 BK19 MO10''

13. What is code for '' Final way''(a) OI9 BA23 (b) BA23 OI6(c) BA23 RA9 (d) O49 BA23

14. What is code for ''Honest Speak''(a) GO10 PR19 (b) GO9 PP19(c) GO8 PP19 (d) GO12 PP12

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15. What is code for ''Result''(a) TE20 (b) GE18(c) GH18 (d) TE18

16. What is code for '' Violet''(a) GI22 (b) GO20(c) GO22 (d) GI20

17. What is code for “ Try to honest desire''(a) BR20 UR4 GO8 LO20(b) VE4 GO8 LO20 BR20(c) VC4 LO20 BR20 GO8(d) VE8 BR20 GO8 LO20

18. Read the statement , considering it to betrue , Check the validity of the conclusionStatement

, , ,M A V S T Q N Q N M Conclusions(i) V > N (ii) A N(iii) S > Q (iv) T > M(a) Only I , II, III are true(b) Only II, III, IV are true(c) Only I is true(d) Only II & IV are true.

19. In the given questions , assuming thegiven statements to be true , find whichof the given four conclusion numbered I,II, III, IV, is/are definitely true and giveyour answer accordingly.Statement :

,P L N C D R H P Conclusions(i) D < P (ii) H > L(iii)C > L (iv) N R(a) Only I & II are true(b) Only I is true(c) Only II & IV are true(d) None

20. Answer carefully the questions belowA is 10 m to north of Z, who is to thenorthwest of Y .Z is 15 m to the west ofB.C is to the last of Y who is 10 m tosouth of B.

In which direction is Y with respect to A(a) South (b) South East(c) South West (d) West

21. What is the shortest distance betweenpoint A and Y ?(a) 35m (b) 25m(c) 30m (d) 20m

In a certain code language'' play game in bad '' is written as ''9857''and '' Anu Book at too'' is written as ''9753 '' and '' Anil of boy am '' is writtenas ''9365'' and '' Bat car an to ” is writtenand ''5468''

22. What is code for ''Fly'' in the given codelanguage ?(a) 5 (b) 6 (c) 7 (d) 9

23. What is code for ''Student'' in given codelanguage ?(a) 9 (b) 4 (c) 8 (d) 3

24. What is code for '' mat''?(a) 5 (b) 9 (c) 8 (d) 7

25. A & B start warking in opposite direction Awalked 5 km, B walked 6 km thereafterboth turned to their right and walked 2 km,they turned right again and walked 3 km,again turned to right and walked 2 km. howmuch distant apart are they from eachother ?(a) 2 km (b) 6 km(c) 5 km (d) 4 km

26. An accurate clock show 8 'O' clock in themorning. Through how many degrees willthe hour hand rotate when the clockshows 2 'O' clock in the after noon ?(a) 1440 (b)1500

(c) 1680 (d) 1800

27. XXIV, XX, ? , XII, VIII(a) XXII (b) XIII(c) XVI (d) IV

28. 42, 40, 38, 35, 33, 31,28, ? ?(a) 28,22 (b) 26,23(c) 26,24 (d) 25,23

29. Dilip walks 20 m north, then he turns rightand walk 30m. Now he turns right and walk35m .Now turning left he walks 15m. Again,he turn left walks 15m .Finally turning left,he again walks 15m In which direction &how many meters is he from his originalposition ?(a) 15m east (b) 45m east(c) 15m west (d) None

Dir. - In the following questions, the symbol,*, , and @ are used with following

meaning as illustrated below'P÷Q' means 'P is neither greater than norequal to Q'

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'P Q' means 'P is neither smaller thannor equal to Q ''P @ Q' means ' P is not greater than Q''P * Q' means ‘ P is not smaller than Q’'P # Q' means 'P is neither greater thannor smaller than QNow in each of the following questionsassuming the given statements to be true. Find which of 4 conclusions I, II, III, IVgiven below is/are definitely true.

30. StatementsR * T, T M, M ÷ K, K @ UConclusion(I) V M (II) V T(III) M ÷ R (IV) K R(a) (I) & (II) are true(b) (I) & (III) are true(c) (II) & (IV) are true (d) None

31. StatementsH J, J # N, N @ R, R WConclusions(I) W ÷ N (II) W ÷ H(III) R # J (IV) R J(a) Only (I) is true (b) Only III is true(c) Either III or IV is true(d) Either I or III is true

32. StatementsB @ D, D F,, F ÷ M, M * NConclusions(I) B ÷ F (II) M D(III) N ÷ F (IV) D N(a) None is true (b) Only III is true(c) Only IV is true (d) Only I is true

33. StatementF # Z, Z @ H, H ÷ N, N BConclusions(I) F @ H (II) Z ÷ N(III) B ÷ H (IV) B ÷ Z(a) (I) & (III) are true(b) (II), (III), (IV) are true(c) (I) and (II) are true(d) None

Q Study the following information carefullyand answer the question given below,J,K,L,M,S,T,U, & V are eight employees ofan organisation and they will attend ameeting in the 4 months (march, june,october & November ). The meeting heldis each month on 13th, 22nd date and

only 2 meetings held in month .No personcan attend meeting after L. M does notattend the meeting in month of 31 days. S& U attend meeting after M on date 22ndof different month, while J & K attendbefore M and K attends after J in thesame month V does not attend the meet-ing in the month is which either S attendsor L attends

34. How many people attend meetingbetween S & L ?(a) 1 (b) 2(c) 3 (d) 4

35. Four of the following follow a namepattern. Find odd one out.(a) J – March (b) S – 13(c) 4 – Oct (d) 4 – 22

36. Who attends meeting in November(a) T, L (b) M,T(c) S, T (d) S, U

37. Who attend meeting immediately after M(a) U (b) S(c) V (d) T

38. S attends meeting in the month of(a) June (b) October(c) November (d) MarchStudy the following information andanswer the question belowIn a certain code language ,Give solution for problem# E 4, $ R 3, * M7, @ N 8,Pure first sale Great– @ E 4, $ T 5, # T 5, * E 4Pet Sensed Ghostly Form– * T 3, $ M 4, @ D 6, # Y 7Spa Guards Picked Flake– # S 6, * D 6, $ E 5, @ A 3

39. What is the code for ' Solution'(a) # E 4 (b) $ R 3(c) * M 7 (d) @ N 8

40. What is code for ' search from page'(a) * E 4 @ M 6 $ M 4(b) $ R 3 * E 4 @ D 5(c) * M 7 @ M 5 # E 4(d) NoneDirection : Which of the followingAlternatives is same as it is in QuestionFigure.

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41. Question figure

Answer figures

(a) (b)

(c) (d)42. Question figures

Answer figures

(a) (b)

(c) (d)43. Question figure

Answer figures

(a) (b)

(c) (d)

Complete the following number series44. 7, 5, 7, 17, 63, ?

(a) 308 (b) 302(c) 309 (d) 409

45. 50, ?, 61, 89, 154, 280(a) 52 (b) 51(c) 60 (d) 62

46. 17, 19, 25, 37, ?, 87(a) 47 (b) 37(c) 57 (d) 67

47. 11, 14, 19, 28, 43, ?(a) 55 (b) 37(c) 66 (d) 77

48. 26, 144, 590, 1164, ?(a) 1296 (b) 1182(c) 2059 (d) 1181

49. 22, 10, 8, 12, 40, ?(a) 50 (b) 48(c) 304 (d) 636

50. If UGLY is coded as TAEBICUD & LEFT iscoded as KACBCCPD, then TEST is codedas –7, 1, 3,5,2(a) SACBPCPD (b) PABCDEPD(c) SABCDEPD (d) PACBPCPD

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Timing : 45 Minutes Paper-2 (CTL) Max. Marks : 50(Comprehensive Test of Language )

Directions (51-54): Choose the word which ismost nearly the SAME in meaning as theword given :

51. ARDUOUS(a) Hazardous (b) Difficult(c) Different (d) Pleasurable

52. FORMULATE(a) Frame (b) Apply(c) Contemplate (d) Regularize

53. DEGRADING(a) Demeaning (b) Lowering(c) Corrupting (d) Minimizing

54. TRANSITIONAL(a) Extreme (b) Intermediate(c) Revolutionary (d) Changed

Directions (55-57): Choose the word which ismost nearly the OPPOSITE in meaning asthe word given

55. VIABLE(a) Rudimentary (b) Practical(c) Negative (d) Impossible

56. INEVITABLY(a) Expectedly (b) Certainly(c) Mostly (d) Avoidably

57. ACCORDANCE(a) Conflict (b) Enmity(c) Quarrel (d) Division

Directions (58-60): Which of the phrases (A), (B),(C) and (D) given below each sentenceshould replace the word/phrase printedin italic in the sentence to make itgrammatically correct ? If the sentenceis correct as it is given and no correctionis required, mark (E) as the answer.

58. Since the girl did not want to bedisturbed while studying, she left thephone off hooks.(a) of hook (b) for the hook(c) off hooking (d) off the hook

59. Since the officer was overburdened withwork, her collegue decided to give herhand.(a) giving hands (b) give her a hand(c) giving her handful (d) gave her hands

60. Despite having passed out from schoolover ten years back, most schoolmateshave kept touch with each other.(a) had kept in touch (b) keep touched(c) is keeping touch (d) are kept touched

61-65 The passage given below is followed by aset of questions. Choose the mostappropriate answer to each questions:The doors of a great newspaper office arenot ever locked. All through the day and allthrough the night work has to be donethere, so that the readers of the paper maybe kept in touch with everything whichinterests. News comes into the office atevery hour of the day – news of politicaldevelopments, news of crimes, news oftown happenings, and news of events whichare going to take place. All this has to begone through. The important facts are givenheadlines and the unnecessary details arecut out. Everyday important things aretaking place in all parts of the earth.Wherever anything interesting is going on,a representative of the paper is sent to takenotes and get all the facts. If there is aserious train collision somewhere on theline, an army of newspaper men get to thespot to prepare the lists of the dead andget an account of what took place from theeye witness. Camera men go with them andtake pictures of the twisted and brokencarriage.

61. ‘Not ever locked’ means(a) always remains open(b) always remain locked(c) sometimes locked(d) sometimes open

62. What is meant by ‘headline’(a) Lines on the forehead(b) newspaper heading(c) main line of railway(d) Major line

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63. News comes into the office(a) Round the clock(b) In the pre-fixed hours(c) During day time(d) During night

64. ‘An army of newspaper men’ refers to(a) Army man(b) Army man who reads newspaper(c) A team of newspaper persons(d) Security man of the newspaper

65. What is done with the news that comesinto the office?(a) It is published as it is(b) Published with headlines and all details(c) Published with headlines andnecessary details(d) Unnecessary details are cut out

66-67 In each of the following question, somealternatives are suggested for the idiom/phrase in italics in the sentence. Choosethe one which best expresses the meaningof the idiom/phrase in bold.

66. In the armed forces, it is considered a greatprivilege to die in harness.(a) Die while still working(b) Die in the battle field as a martyr(c) Die with honour(d) Die on the horse back

67. Tell me plainly who broke the mirror, do notbeat around the bush.(a) Approach the matter in a round aboutway(b) Try to impress me with your arguments(c) Put any blame on others(d) Pretend to be unaware of the matter

68-77 Choose the word which best fills theblank in the sentences from the fouroptions given.

68. One should not …….. the orders of one’ssuperiors.(a) defy (b) deify(c) defile (d) devoid

69. Please convey my best … to your parents(a) Complements (b) compliments(c) supplements (d) nourishment

70. Please ………. your votes in favour of me.(a) caste (b) cast(c) cost (d) cancel

71. He was wearing a …… cotton shirt.(a) lose (b) cost(c) loose (d) size

72. Her approach to work is so ……. that no oneconsider her reliable.(a) casual (b) common(c) low (d) high

73. The …………. condition of our country is notso good.(a) Economical (b) Economic(c) Expensive (d) Cheap

74. There was a good ……… of Tabla and violinin the cultural programme.(a) Unison (b) Unity(c) Union (d) Unanimous

75. Before we apply we must ensure that we……… the required qualifications for the job.(a) contain (b) disclose(c) possess (d) acquire

76. On the way home from work, my car ……….out of gas.(a) went (b) ran(c) climbed (d) slid

77. One should …………. from makingunwarranted comments.(a) refrain (b) abstain(c) allow (d) prevent

78- 80 Select the meaning of the given phrases/idioms.

78. Body and soul(a) Spiritually (b) Physically(c) Entirely (d) Partially

79. To meet one’s Waterloo(a) To die fighting(b) To meet one’s final defeat(c) To die an ignoble death(d) To meet a strong adversary

80. To play ducks and drakes(a) to waste money(b) to be romantic(c) to behave like a child(d) very wise

81-85 In the following passage there are someblanks with numbers. Fill in the blanksby selecting the most appropriate wordfor each blank from given options of eachnumber.

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It was a cloudy day. Before I 81 off to office,my mother 82 on my 83 an umbrella. So I84 an umbrella along with my briefcase.Hardly had I started, when it started 85 .

81. (a) went (b) reached(c) begin (d) set

82. (a) asked (b) requested(c) insisted (d) admonished

83. (a) get (b) taking(c) have (d) leaving

84. (a) took (b) taken(c) have (d) catch

85. (a) to drizzle (b) drizzling(c) to rain (d) rained

86-88 Select the word which means theopposite of the given word.

86. ACCUSTOMED(a) Used to (b) Habituated(c) Unusual (d) Customary

87. ELEVATION(a) Depression (b) Lift(c) Scale up (d) Frequent

88. HUMANE(a) Atrocious (b) Humanity(c) Ruthless (d) Compassionate

89-91 Select the word which means nearly thesame of the given word.

89. ABSTAIN(a) Refuse (b) Accept(c) Forbear (d) Disagree

90. BRITTLE(a) Strong (b) Fragile(c) Unbreakable (d) Rough

91. CAJOLE(a) Coax (b) Rebuke(c) Chide (d) Upright

92-100 In each of the following sentences you willfind a blank. Fill in blanks from the givenalternative.

92. He’s a very dependable person. You can_________ _____ him in any

circumstances.(a) count for (b) trust in(c) stand for (d) rely on

93. Many husbands avoid any housework.They manage to _________ _____ _____it.(a) get safe of (b) go past on(c) stay away of (d) get out of

94. I’m glad you’re coming to the meeting. I_________ _________ to meeting you.(a) look ahead (b) look forward(c) see forward (d) think ahead

95. Harry reads the newspaper everymorning. He likes to _________ __________ the latest events.(a) stand up to (b) stay on to(c) keep up with (d) get up to

96. Tom and Bill had a meeting in order to_________ _____ their difficulties.(a) bash out (b) wash out(c) iron out (d) spread out

97. Tests will be _________ _____ todetermine the causes of the failure.(a) taken up (b) carried out(c) looked into (d) run on

98. The plans for the new theatre _______________ _______ a lot of criticism.(a) ran up to (b) faced up with(c) came up against (d) was opposed to

99. Sophie wants to leave the company. We’llhave to _________ ____ a way to makeher stay.(a) set up (b) turn out(c) figure out (d) stumble on

100. Anyone can make a mistake but Georgenever _________ ____ to his errors.(a) comes on (b) owns up(c) goes forward (d) pays up

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[Biology]1. “Leprosy” is caused by

(a) Mycobacterium (b) Salmonella(c) Monocystis (d) TMV

2. ‘Black death’ is related with(a) Plague (b) Cancer(c) Tuberculosis (d) Measles

3. Plasma membrane is : -(a) Selectively permeable(b) Permeable(c) Impermeable(d) Semipermeable

4. Enzymes for ETS occur in (mitochondria) :(a) Matrix(b) Outer wall(c) Inner membrane(d) Between inner & outer wall

5. Mendel formulated the law of purity ofgametes onthe basis of(a) Dihybrid cross(b) Monohybrid cross(c) Back cross(d) Test cross

6. Formation of which complex moleculeswas noticed by Urey and Miller when theysubjected substances like NH3, CH4, H2Oetc. to electric discharge(a) Aquaregia (b) 42SOH(c) HCN (d) Amino acids

7. Pasteur succeeded in disproving thespontaneous generation theory because(a) He was lucky(b) He was ingenious in drawing out theneck of the glass flasks so as to provideaccess to air but not to the micro-organ-ism(c) Of the fact that the sample of yeasttaken by him was dead(d) Of the clean surroundings of hislaboratory

8. Aerenchyma is found in(a) Lithophytes (b) Hydrophytes(c) Sciophytes (d) Xerophytes

9. Edaphic factors are related to(a) Soil (b) Animal(c) Man (d) Temperature

Timing : 90 Minutes Paper-3 Max. Marks : 100(Science+ Maths + S.St) SAT

10. It is said, the Tajmahal may be destroyeddue to -(a) Flood in Yamuna river(b) Decomposition of marble as a resultof high temperature(c) Air pollutants released from oil refin-ery of Mathura(d) All of these

11. The membranes enclosing the brain andspinal cord are known as -(a) Meninges (b) Meningitis(c) Nephron (d) Axon

12. Pavement epithelium is another name for(a) Cuboidal epithelium(b) Ciliated epithelium(c) Simple squamous epithelium(d) Stratified epithelium

13. Sweet potato is modification of -(a) Leaf (b) Root(c) Stem (d) Flowering axis

14. Correct sequence is(a) Palaeozoic Mesozoic Coenozoic(b) Mesozoic Archaeozoic Proterozoic(c) Palaeozoic Archaeozoic Coenozoic(d) Archaeozoic Palaeozoic Proterozoic

[Chemistry]15. If ethanol reacts with oxygen it produces

(a) Acetic Acid (b) Hydrocloric Acid(c) Sulphuric Acid (d) Sulphur dioxide

16. A burner consumes one gram of LPG in11 sec. What is the power of consumptionof burner in KW if Cv of LPG is 55 kJ/g.(a) 5 kW (b) 10 kW(c) 5.5 kW (d) None of these

17. Dalton's Law of partial pressure isobeyed in which one of the followingpair of gases(a) Oxygen & Nitrogen(b) Nitrogen & Hydrogen(c) Hydrogen & Argon(d) Hydrogen & oxygen

18. Number of groups present in the longform of the periodic table are(a) 16 (b) 8 (c) 2 (d) 18

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19. Molecular weight of a substance isequivalent to -(a) Sum of atomic wt. of each elementpresent in the given substance(b) Sum of At.wt of each element withtheir respective number present in eachcompound(c) Sum of equivalent wt. of each elementpresent in the given substance(d) None of these

20. If an acid having construction as 0.01 N isdiluted to 1000 times then the PH of thatacid is ?(a) 5 (b) 2(c) 3 (d) 10

21. Atom that can neither gain nor loseelectrons is said to be(a) an Inert(b) Amphoteric(c) Metalic(d) Non - metalic

22. In which of the following preparationHydrogen is used ?(a) preparation of Ammonia (NH3)(b) Hydrogenetion of oil(c) Synthesis of water gas(d) all of these

23. Catenation is maximum in:(a) Carbon(b) Oxygen(c) Sulphur(d) Phosphorous

24. The number of atoms present in 0.5molesof Nitrogen atoms is same as in:(a) 12 g of C (b) 24 g of Mg(c) 8 g of O (d) 32 g of S

25. Which one of the following is known as"King of Chemicals"(a) Hydrochloric acid(b) Sulphuric acid(c) Nitric acid(d) Phosphoric acid

26. An element has 13 protons. The groupand period to which it belongs:(a) 3rd period and 13th group(b) 2nd period and 13th group(c) 3rd period and 3rd group(d) 2nd period and 3rd group

[Physics]27. A star produces its energy through the pro

cess of :(a) Nuclear fusion(b) Chemical reaction(c) Nuclear fission(d) Gravitational attraction betweendifferent parts of the star

28. Which of the following statement iscorrect.(a) A C generator generates a highervoltage.(b) D C generator generates a highervoltage.(c) A C generator has a permanent magnetwhere as a D. C generator has an electromagnet.(d) There is a split - ring commutator in aD.C generator but not in an A.C generator.

29. Which one of the following statement bestdescribes the nature of the field lines dueto a bar magnet ?(a) Field lines starts from the north pole andend on the south pole. Any number of fieldlines can pass through a point.(b) Field lines starts from the north pole andend on the south pole Outside. only onefield line passes through a point.(c) Field lines are continious lines passinginside and outside the magnet. only onefield line passes through a point.(d) Field lines are continious lines passinginside and outside the magnet. any numberof field lines can pass through a point.

30. Consider two conducting plates A and B,between which the potential difference is5V, plate A being at a higher potential. Aproton and an electron are released atplates A and B respectively. the twoparticles then move towards the oppositeplates – the proton to plate B and theelectron to plate A. which one will have alarger velocity when they reach theirrespective destination plates ?(a) Both will have the same velocity.(b) The electron will have the largervelocity.(c) The proton will have the larger velocity.(d) None will be able to reach thedestination point.

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31. Which of the following statements iscorrect ?(a) A person with myopia can see nearbyobjects clearly.(b) A person with hypermetropia can seenearby objects clearly.(c) A person with myopia can see distantobjects clearly.(d) A person with hypermetropia can not seedistant objects clearly

32. A convex lens has a focal length of 0.5m. Ithas to be combined with a second lens, sothat the combination has a power of 1.5diopter. which of the following could be thesecond lens ?(a) A concave lens of focal length 2 m.(b) Another convex lens of focal length 0.5 m.(c) A concave lens of focel length 0.5 m.(d) A convex lens of focal length 2 m.

33. A ray of light is incident in medium 1 on asurface that separates medium 1 frommedium 2. let V1 and V2 represent thevelocity of light in medium 1 and medium2 respectively. Also let n12 and n21

represent the refractive index of medium1 with respect to medium 2 and refractiveindex of medium 2 with respect to medium1, respectictively. If i and r denote the angleof incidence and angle of refraction, then

(a) 1

212

sinsin

vi nr v (b)

221

1

sinsin

vi nr v

(c) 1

122

sinsin

vi nr v (d)

212

1

sinsin

vi nr v

34. Stethoscope of doctors for finding quality,strength and frequeny of human heart beatis based on the principle of -(a) SONAR (b) Reverberation(c) Multiple reflection (d) Echo

35. A force of 10 N is applied on an object ofmass 1 kg for 2 s, which was initially at rest.what is the work done on the object by theforce ?(a) 200 J (b) 20 J(c) 16 J (d) 180 J

36. A spring balance measures the weight ofan object in air to be 0.1 N. It shows areading of 0.08N when the object iscompletely immersed in water. If the valueof acceleration due to gravity is 10 m/s2

the volume of the object is(a) 20 cm3 (b) 80 cm3

(c) 200 cm3 (d) 2 cm3

37. Two objects, one 4 times as massive as theother, are approching each other undertheir mutul gravitational attraction. whenthe sepration between the object in 100km, the acceleration of the lighter objectsis 1m/ s2. when the separation betweenthem is 25 km, the acceleration of theheavier object is -(a) 1m/s2 (b) 2m/s2

(c) 8m/s2 (d) 4m/s2

38. A box of mass 20 kg pushed along a roughfloor with a velocity 2 m/s and then let go.The box moves 5 m on the floor beforecoming to rest. what must be the frictionalforce acting on the box ?(a) 4 N (b) 2 N(c) 20 N (d) 8 N

39. A car is moving with a constant speed of70 km/h. which of the following statementsis correct ?(a) The acceleration of the car is definitelyzero.(b) The car has an acceleration only if it ismoving along a curved path.(c) The car may not have an accelerationeven if it is moving along a straight path.(d) The car may not have an accelerationeven if it is moving along a curved path.

40. A geo stationary satellite is orbiting aroundthe earth at height of 30,000 km in circularorbit. The radius of the earth is taken as6000 km. The geo-stationary satellite comeback to its position after one revolution inexactly 24 hours. Let the acceleration dueto gravity (g) be 10m/s2 and mass of satellitbe 1000 kg ; calculate the work done inhours when moving under gravitationalforce.(a) 5.6 × 1014 j (b) 2 × 7.2 × 1014j(c) 1.8 × 1014 j (d) 0 j

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[Maths]41. If x1,x2,x3 --- xn are in A.P, then the value of

1 2

1x x +

2 3

1x x +

3 4

1x x + ----- +

n 1 n

1x x

is

(a) 1 n

n 1x x

(b) 2 n 1

n 1x x

(c) 1 n

nx x (d) N.O.T.

42. In the diagram AMN, TRM and SRN are allstraight lines. The value of P + Q is

T

SR

A M N

125º55º

P

Q

(a) 700 (b) 550

(c) 900 (d) 750

43.A

B

C

In the figure shown circle having centre Ohas radius r cm.Two identical circles withdiameter AO and OB are drawn inside thecircle. If a third circle centred at C is drawn,smaller than the other two, what is theradius in terms of r ? given that the centresof all 3 circles lie in the line with the centreof the bigger circle ?

(a) r4

(b) r3

(c) 2r3 (d)

12

r

44. If TA is tangent to the circle at B, what isthe value of x + y + z ?

D

y

28°O

Cx

B

T

A

z

(a) 56° (b) 112°(c) 28° (d) 65°

45. If the figure shown, two identical circles of

radii r are drawn. If the centre of the circles

lie on each other circumference, what is the

area of shaded region ?

(a) 23 r2 - 3

2r2 (b) 2r2 - 3

2r2

(c) 13 r2 (d)

2r2

46. A circle placed against a right triangle

centred at O is the 14 cm, radius. What is

the radius of the smaller circle placed in

the remaining gap ?

(a) 7 2 1 (b) 14 2 1

(c) 27 2 1 (d) 2

14 2 1

47. O is the centre of the circle in the figure

given below.The correct relationship

between a,b and c is -

(a) a + b = c (b) a = b + c

(c) a + c = b (d) N.O.T.

48. If Sin2 2 3 4 x 1. . ........1 2 3 x 2

= 1, < x < 100°,

then the value of x is equal to -

(a) 91° (b) 80°

(c) 49° (d) 46°

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49. A man at the top of a vertical lighthouseobserves a boat coming directly towards it,If it takes 20 minutes for the angle to de-pression to change from 30° to 60°, the timetaken by the boat to reach the lighthousefrom the point when the angle of depres-sion was 30°, is -(a) 30 minutes (b) 20 minutes(c) 10 minutes (d) 5 minutes

50. Find the number of real solution x (x + 1)(x+2) (x +3) = 120(a) 1 (b) 2(c) 3 (d) 4

51. The area of triangle is 5, Two of its verticesare (2, 1) and (3, -2), if the third vertex lieson y = x + 3, then the third vertex is -

(a) 7 13 3 3, or ,2 2 2 2

(b) 7 15 3 3, or ,2 2 2 2

(c) 7 15 2 2, or ,

2 2 3 3

(d) N.O.T.

52. 10 yrs ago, the age of a father was thricethe age of his son whereas, 10 yrs laterthe son will be half the age of the father,The difference between their present agesis(a) 30 (b) 40(c) 70 (d) 100

53. In (a2 - b2) trials of random experiment if anevent A happens a + b times then the prob-ability of happening of event A is given by

(a) a - b (b) 1

a b

(c) a + b (d) 1

a b

54. Let a is a real numbers satisfying

33

1a 18a

. Then the value of

44

1a – 39a

is :

(a) 8 (b) 9(c) 10 (d) 11

55. If sin and cos are the roots of theequation ax2 – bx + c = 0, then(a) a2 – b2 = 2ac (b) a2 + b2 = 2ac(c) a2 + b2 + 2ac = 0 (d) b2 – a2 = 2ac

56. Let a, b, c are distinct reals satisfying a3 +b3 + c3 = 3abc. If the quadratic equation(a + b – c)x2 + (b + c – a)x + (c + a – b) = 0has equal roots then a root of the quadraticequation is

(a) 3cba

(b) 1

(c) 2

cba (d) None of these

57. If 2x – 3y = 7 and (a + b) x – (a + b –3) y = 4a+ b represent coincident lines, then a and bsatisfy the equation

(a) a + 5b = 0 (b) 5a + b = 0

(c) a – 5b = 0 (d) 5a – b = 0

58. If the roots of the equation, A x2 + B x + C

= 0 are , and the roots of theequation, x2 + px + q = 0 are 2 , 2 , thenvalue of ‘ p ’ will be :

(a) 2

2

ACA2B

(b) 2

2

ABCA2

(c) 2

2

ACA4B

(d) None of these

59. The equations , x3 + 5 x

2 + p x + q = 0 andx3 + 7 x

2 + p x + r = 0 have two roots incommon. If the third root of each equationis represented by x1 and x2 respectively ,then the ordered pair (x1 , x2) is(a) ( 5 , 7) (b) (1 , 1)(c) ( 1 , 1) (d) (5 , 7)

60. The number of real roots of 3

x1x

+ x

+ x1 = 0 , is :

(a) 0 (b) 2(c) 4 (d) 6

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[S.St.]61. Assertion : (A) The tropical rainforests are

mostly evergreen.Reason : (R) The regions of tropicalrainforests get abundant rainfall & havelow temperature throughout the region.(a) Both A & R are true & R explains A(b) Both A & R are true but R does notexplain A.(c) A is true but R is false.(d) A is false but R is true.

62. Assertion :(A) According to Mahatma Gandhi theidea of satyagraha was emphasised aspower of truth.Reason :(R) It suggested that if the cause wastrue, if the struggle was against injustice,then physical force was not necessary tofight the oppressor.(a) A is false, R is true(b) A is true, R is false(c) Both A & R are true(d) Both A & R are false

63. Chutney Music was created by :(a) Indo-Caribbean(b) Indian Migrants(c) People of Mauritius(d) People in Fije Islands

64. Give the correct chronological order of thefollowing :(i) Jallianwalabagh Massacre(ii) Khilafat Movement(iii) Rowlatt Act.(a) iii, i, ii (b) i, ii, iii(c) ii, iii, i (d) i, iii, ii

65. Which of the following options do notrelate to Simon commission ?(a) Simon commission arrived in 1928(b) It consisted of only Englishmen(c) It was greeted with slogan "go backsimon"(d) Indians rallied around it.

66. What is Hosay ?(a) Christmas celebration(b) New year celebration(c) Holi-diwali celebration(d) Muharram procession in whichworkers of all races & religion joined.

67. Six Joint Stock companies were set up by :(a) Dinshaw Petit(b) Dwarkanath Tagore(c) Jamsetjee Nausserwanjee(d) Seth Hukumchand

68. Match the column :Column - I Column .(i) Bilotheque Blew (i) Martin Luther(ii) 95 thesis (ii) Rashsundari Debi(iii) Amar jiban (iii) Ramchaddha(iv) Istri Dharm Vichar(iv) Low Priced

Small Books(a) iv, i, ii, iii (b) iii, ii, i, iv(c) i, ii, iii, iv (d) ii, i, iv, iii

69. Premchand's sevasadan describes issue/issues like :(a) Child marriage & dowry(b) Illiteracy and superstition amongIndian women(c) Unemployment among young boys(d) All of the above

70. Atolls are :(a) Square shaped reefs(b) Triangular shaped reefs(c) Circular or horse shoe shaped coralreefs.(d) None of the above

71. Match the coloumn :Coloumn- I Coloumn-II(i) Depressed Class (i) B. R. AmbedkarAssociation(ii) Eight lotuses (ii) Pt. Jawahar Lal

Nehru(iii) Demand for (iii) Representing 8 Purna Swaraj provinces of British

India(iv) Ahmedabad (iv) GandhijiMill Movement(a) i, iii ii, iv (b) i, ii, iii, iv(c) iv, i, iii, ii (d) ii, i, iii, iv

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72. Assertion :(A) Railways in London initially appearedas "Iron Monsters Reason :(R) The compartment in which I sat wasfilled with passengers who were smokingpipes.(a) Both A & R are true & R explains A(b) Both A & R are true but R does notfully explain A(c) Both A & B are true(d) Both A & B are false.

73. Which states are drained by river Tapi :(a) Maharashtra, Karnataka, Gujarat(b) M.P., Maharashtra, Rajasthan(c) Gujarat, M.P., Maharashtra(d) Maharashtra, Gujarat, Rajasthan

74. Which one of the following is true about,Pradhan Mantri Grameen Sadak Yojana ?(a) A scheme for development of NationalHighway(b) A scheme for village road connection(c) A scheme for Border Roads(d) A scheme for mountain road

75. What is the extent of an elongated lowpressure belt over India during the end ofMay ?(a) Thar desert to patna and Chotanagpurplateau.(b) Chotanagpur plateau to himalayas(c) Thar desert to Chotanagpur Plateau(d) Thar desert to Northern Plains

76. Assertion :(A) Multipurpose projects were referredto as Temples of Modern IndiaReason :(R) Some important temples were builthere.(a) Both A & R are true & R explains A(b) Both A & R are false(c) Both A & R are true(d) A is true but R is false

77. "There is enough for everybody is needbut not for anybody's greed". These werethe view points given by:(a) J.L. Nehru (b) M.K. Gandhi(c) Vinoba Bhave (d) Lal Bahadur Shastri

78. Which one of the following is notcorrectly matched ?(a) Corbett national park, Uttarakhand(b) Sanderbans, West Bengal(c) Bandhav National Park, M.P.(d) Manas Tiger reserve, ArunachalPradesh

79. Which of the following cause is notrelated with underground water depletion(a) Overdraft of water for irrigation inrural areas.(b) Excessive use of water in Urban areas(c) Decline in seewage due tocementation of spaces used by man.(d) Excessive evaporation of undergroundwater.

80. Assertion :(A) Slash & burn agriculture was practisedin most parts of India.Reason :(R) The right of inheritance has led to thedivision of land among successivegenerations has rendered landholdingsize uneconomical and there is enormouspressure on land.(a) A is true but R is false(b) A is false but R is true(c) Both A & R are true & R explains A(d) Both A & R are true but R does notexplain A.

81. Consider the following statements :(i) In India cropland occupies 57% of thetotal area(ii) Pastures account for 56% area inAustralia(iii) About 2/3rd area in Japan is underforests.What should be understood from theabove statements ?(a) India has an efficient land use systemwhile most of the land in Australia andJapan is rendered waste(b) India has subsistence agriculturaleconomy, animal husbandry is the mainstay of economy in Australia & forestry isthe main activity in Japan.

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(c) Most of the cultivable land in India isdevoted to crop cultivation, in Australiacultivation of crops is confined to smallproportion & most of the land is used forgrazing Japan has conserved its forestresources.(d) India has faulty land use system,Australia has extensive land use andJapan has small cultivable land.

82. Which of the following best describes"JETSTREAMS"(a) Wind system with seas & reversal ofdirection.(b) Wind blowing from subtropical highpressure belts towards the tropical lowpressure belts.(c) Narrow meandering bands of windswhich blow in mid latitude near thetropopause and encircle the glove.(d) Winds blowing from the tropical highpressure belts towards equatorial lowpressure belts.

83. The Constitution of India declares thatIndia is a :(a) Decentralization of states.(b) Union of states.(c) Centralized unit.(d) The princely state.

84. Consider the following statement :(a) In the tundra region, animals havethick fur & skin(b) Most of the animals in grasslands areherbivores.(c) In tropical rain forests, many animalslive on tress.Which of the following statements bestexplain these statements :(a) Dependence of animals on naturalvegetation(b) Exploitation of wildlife and naturalvegetation(c) Relationship but density of vegetation& wildlife(d) Adaptation to natural environment.

85. Assertion :(A) The people in belt the producers andfinal consumers are traders.Reason :(R) The people who finally sell thecommodities to the consumers areretailers(a) Both A & R are true & R is the correctexplanation of A.(b) Both A & R are true and R is not thecorrect explanation of A(c) A is true but R is false(d) A is false but R is true

86. The principle of checks balances isrelated to :(a) Rule of law(b) Fundamental rights(c) Fundamental Duties(d) Separation of powers

87. Which of the following statements refersto transhumance ?(a) Seasonal movement of people fromone region to other region for bettereconomic opportunities.(b) Seasonal movement of people fromone country to other in search of jobs(c) Seasonal movement of people frommountainous areas to plain areas to avoidcold weather.(D) Seasonal movement of people alongwith their herds of livestock in search ofpastures from one region to other.

88. Match the following :Basic characteristic of the economy(i) The government controls every aspectof economic life of the nation.(ii) The fields of activity of the publicsector and private sector are clearlydemarcated.(iii) The market forces dominate theeconomic activities(iv) Free global movement of capital,goods and services allowed. Nature ofEconomy(A) Command economy(B) Market economy(C) Globalised economy(D) Mixed economy

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Which of the followed indicates thecorrect matching :(a) (i)-B (ii)-C (iii)-D (iv)-A(b) (i)-A (ii)-D (iii)-B (iv)-C(c) (i)-C (ii)-B (iii)-A (iv)-D(d) (i)-D (ii)-A (iii)-C (iv)-B

89. Match the regional political parties andthe states given below :(A) Telgu Desam party .(B) Dravida Munetra Khazagam .(C) Akali Dal .(D) National Conference .Which one of the following indicates thecorrect matching of the above :(a) A-iv, B-ii, C-iii, D-i(b) A-iv, B-i, C-ii, D-iv(c) A-iv, B-i, C-iii, D-ii(d) A-iv, B-i, C-ii, D-iii

90. Match the following :List - 1 List - 2

(A) Tropical Evergreen(i) Oak, Pine, Eucalyptus

(B) Temperate Evergreen(ii) Oak, A7sh, Birch

(C) Tropical Deciduous(iii) Rosewood, Ebony,Mahogany

(D) Temperate Deciduous(iv) Sal, Teak, Shisham

Which of the following is the correctmatching.

(a) A-iv, B-ii, C-iii, D-i(b) A-iv, B-ii, C-i, D-iii(c) A-i, B-iii, C-ii, D-iv(d) A-iii, B-i, C-iv, D-ii

91. Why is it important for our country tokeep the mill sector loomage lower thanpower loomage ?(A) To provide scope for incorporatingtraditional skills and designs of weaving(B) To provide employment to large no. ofpeople in the country.(C) So that marketing can be done easily.(D) Less capital is invested.

92. Match the coloumn :Coloumn - I Coloumn . II(i) Sher Shah Suri Marg (A) NH - 15(ii) Longest high way of India (B) NH - 8(iii) Delhi and Mumbai (C) NH - 7Highway are connected by(iv) National highway that (D) NH - 1connects most of the Rajasthan(a) i-A, ii-B, iii-C, iv-D(b) i-D, ii-C, iii-B, iv-A(c) i-B, ii-C, iii-A, iv-D(d) i-C, ii-B, iii-D, iv-A

93. Favorable balance of trade refers to :(a) When value of imports exceeds thevalue of exports.(b) When value of exports exceeds thevalue of imports.(c) When value of imports & exports areequal(d) None of the above.

94. Assertion :(A) U.S. & its allies invade Iraq because :Reason(R) They suspected that Iraqis possessedsecret nuclear weapons which posed abig threat to the world security(a) A & R are false.(b) A is false & R is true.(c) A is true but R is false.(d) A is true & R is the correct.explanation of A.

95. Match the following :Coloumn - I Coloumn - II(A) Gujjar Bakarwal (i) Vast meadows in

high mountains(B) Gaddi Shepherds (ii) Pastoralists of

J & K.(C) Bugyal (iii) Pastoralists of

Himachal Pradesh(D) Raikas (iv) Pastoralists of

Rajasthan(a) A-ii, B-iii, C-i, D-iv(b) A-i, B-ii, C-iii, D-iv

(c) A-iii, B-ii, C-iv, D-i(d) A-iv, B-iii, C-ii, D-i

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96. Assertion :

(A) The Medals of Tommie Smith and John

Carlos were taken back when the reached

to their country after Olympics.

Reason :

(R) They stood on the dice with clenched

fists upraised and heads bowed while the

American anthem was played.

(a) A is true but R is false

(b) R is true but A is false

(c) Both A & R are false

(d) A is true but R does not full

explanation of A

97. Which one of the following is an example

of overlapping differences ?

(a) Northern Ireland people are

predominately Christians but divided

between Catholics and Protestants &

Catholics land to be poor & have suffered

(b) In India dalits tend to be poor &

landless and often face injustice &

discrimination.

(c) Descendants of Africa that follow one

another.

(d) Both A & B.

98. The French government sought to reassert

its authority in Indo-China following world

war II for which of the following reasons :

(a) Control of Indo-China would restore

France flattering prestige.

(b) Indo-China possessed valuable oil

reserves

(c) The French government feared that

Vietnam would fall into anarchy in the

absence of french rule

(d) Continued French control of

Indo-China would prevent USSR from

dominating South East Asia

99. Assertion :

(A) America's original inhabitants had no

immunity against diseases like small pox.

Reason :

(R) They lived in isolation for million of

years.

(a) A and R both are true

(b) A & R both are false

(c) A did not explain R & vice-verse

(d) A is false but R is true

100. Axis powers, consisted of group of

countries which fought during the second

world war. The countries are:

(a) Germany, England, France

(b) Germany, USSR, France

(c) USSR, France, Italy

(d) Germany, Italy & Japan

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RAO IIT ACADEMY / NTSE - 2018/ STAGE - II / SAMPLE PAPER

Mental Ability

1. c 2. c 3. b 4. b 5. c 6. b 7. d8. c 9. b 10. b 11. c 12. a 13. b 14. c15. b 16. a 17. b 18. a 19. b 20. b 21. b22. c 23. b 24. d 25. c 26. d 27. c 28. c29. d 30. b 31. c 32. a 33. c 34. c 35. b36. a 37. b 38. a 39. d 40. a 41. c 42. a43. d 44. c 45. a 46. c 47. c 48. b 49. c50. a

[English]

51. b 52. d 53. b 54. c 55. d 56. d 57. a58. d 59. c 60. a 61. a 62. b 63. a 64. c65. c 66. b 67. a 68. a 69. b 70. b 71. c72. c 73. b 74. a 75. c 76. b 77. a 78. c79. b 80. a 81. d 82. c 83. b 84. a 85. b86. c 87. a 88. c 89. c 90. b 91. a 92. d93. c 94. b 95. c 96. a 97. b 98. b 99. c100. d

Science + SST

[Biology]1. a 2. a 3. a 4. c 5. b 6. d 7. b8. b 9. a 10. c 11. a 12. c 13. b 14. a

[Chemistry]15. a 16. a 17. c 18. d 19. b 20. a 21. a22. d 23. a 24. c 25. b 26. a

[Physics]27. a 28. d 29. b 30. b 31. a 32. a 33. a34. c 35. a 36. d 37. d 38. d 39. b 40. d

[Maths]41. a 42. a 43. b 44. a 45. a 46. d 47. b48. d 49. a 50. b 51. a 52. b 53. d 54. a55. d 56. b 57. c 58. b 59. a 60. a

[SST]61. c 62. c 63. a 64. a 65. d 66. d 67. b68. a 69. a 70. c 71. a 72. b 73. c 74. b75. a 76. d 77. b 78. d 79. d 80. d 81. c82. c 83. b 84. d 85. b 86. d 87. d 88. b89. d 90. d 91. a 92. b 93. b 94. d 95. a96. d 97. d 98. a 99. a 100. d

ANSWER SHEET