17
t ~ } l J ~ I~ I t J I Il I *" J f"." II I t Version Code ~~ 'l " l I: ;j ~ ,t :[~f ) f J~ I IE J I: ~I I I( J e--.l I. J I: J t_ I. .J I" J f »f I I: 1 ,- ... J I:_ I 1 • :;:~:'B~~:~ ~.:~~.: ::;}~~ ~~:3~: !m::lm::II[lllilllllllliI1l1llI:ltl1: = Question Booltlet Serial il!umiJer I 15 :3 3 S g (To be filled by Candidate) OiV;::llJ.nswer SI1ee~Number [1. L~I_3 13 liJ[EJ Name 01 the Canciidate IV t bh uti:Jha.. I Hall Tic!te'~Number QJI e::J- Iw5J~[[] ::Total No. of Pages: 16 ..Total No. of Questions: 120 ::This is to certify that, the entries of Hall Ticket number and OMR Answer Sheet number have beer :"."rroctl y ~-,itten and varni ad. \.;/ )~ .'{j~8lA _~ __ Y_\_ :.bandidate'sSignature Invigilator's Signature ::ALL CANDIDATES MUST Ei\!SURE THAT THE QUESTION BOO~(LET SERIAL NUMBER PRINTED ::ABOVE AND OWiR ANSWER SHEET NmlljBEA PRINTED Ol\! THE OMR ANSWER SHEET ARE ::SAiViE. Ii\! CASE THEY ARE NOT SAil/jEt COi\tTACT INVIGILATOR FOR EXCHANGE. ~------------------------------------------ ... .. 3. 13. ""14. 1. "" 2. The Question Booldet with m"~R Answer Sheet is issued at the start of the examination. Ptease ensure that Question Booklet Number printed above and OMR Answer Sheet Number printed on the OMR Answer Sheet are same. Do not open the Question Booklet until the "start opening" signal is given. Candidates are required to verify that the Question Booklet contafns 120 questions in 16 pages. If any printinglbindfng etc. mistakes are found, immediately inform the Invigilator and get a fresh booklet of the same version. 4. Use of calculators, cell phones and other electronic dGviceslS NOT PERMITTED inside Examination Ha~1. 5. Candidate should careful~y read the instructions printed on The Question Booklet and OMR Answer Sheet and make .. correct entries in the OMR Answer Sheet. As OMR Answer Sheets ate designed to suit the COMPUTERISED .. ASSESSMENT SYSTEM, special care should be taken to darken the correct bubble. Fi~1 the bubbles corresponding to Question Booklet Number, Version Code and Hall Ticket number correctly in the OMR Sheet. Do not write stray mark any where in the OMR Sheet. For each question, choose the correct response answer from out of the four available options. Each correctly answered question carries 4 marks and each wrongly answered question invites ONE NEGATIVE marl For answering a quesUon, fill the appropriate bubble in the OMR Answer Sheet completely like this ~ by using blueJblac!t ball point pen only. 9. Each question has only one correct answer and the candidates have to darken the bubb!e corresponding to correct .. answer. Multiple bubbles will be treated as Wrong' and invites 1 NEGATIVE mark. No white filling :s permitted in OMR Answer Sheet for any correction . Clarifrcations on questions are not permitted. Rough work can be done in any blank space provided in the Question Booklet only. Rough work should not be done .. anywhere on the OMR Answer Sheet. No cand'date is aHowed to leave the Examination Ha~1 1m the exam:nation is over and instructed by invig:tator. Immediately after the prescribed examination time is over, the OMR Answer Sheet should be returned to the Invigilator. .. Conf1:rmthat the Question Bookret and OMR Answer Sheet bear the signature of candidate and the Invigilator at the .. appropriate places. ... 6. "" 7. .. 8. ..10. -.11. ..12. .. ... ;: ~: :~ ~~ ~~ ;~ :2 Jt oiL ,; ••.. J: :: 1: .~ •• ," •• J: -:! .~:':--Jt J:: :: _•.• !~ ~t -,~--Jr ••. :::-.'1 J= IL_'C ..][~-:

OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

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Page 1: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

t ~ } l J ~ I ~ I t J I I l I *" J f"." I I I t

Version Code

~ ~ 'l " l I: ;j ~ ,t : [ ~ f ) f J ~ I IE J I: ~I I I ( J e--.l I. J I: J t_ I. .J I" J f »f I I: 1 ,- ...J I:_ I 1 •

:;:~:'B~~:~~.:~~.:::;}~~~~:3~: !m::lm::II[lllilllllllliI1l1llI:ltl1: =

Question Booltlet Serial il!umiJer I 15 :33Sg(To be filled by Candidate)

OiV;::llJ.nswer SI1ee~Number [1. L~I_3 13 liJ[EJName 01 the Canciidate IVtb h uti:Jha.. I

Hall Tic!te'~Number QJI e::J- Iw5J~[[]::Total No. of Pages: 16..Total No. of Questions: 120

::This is to certify that, the entries of Hall Ticket number and OMR Answer Sheet number have beer

:"."rroctly ~-,itten and varni ad. \.;/ )~. '{j~8lA _~ __Y_\_:.bandidate'sSignature Invigilator's Signature

::ALL CANDIDATES MUST Ei\!SURE THAT THE QUESTION BOO~(LET SERIAL NUMBER PRINTED::ABOVE AND OWiR ANSWER SHEET NmlljBEA PRINTED Ol\! THE OMR ANSWER SHEET ARE::SAiViE. Ii\! CASE THEY ARE NOT SAil/jEt COi\tTACT INVIGILATOR FOR EXCHANGE.~------------------------------------------ ...

.. 3.

13.""14.

1."" 2.

The Question Booldet with m"~RAnswer Sheet is issued at the start of the examination.Ptease ensure that Question Booklet Number printed above and OMR Answer Sheet Number printedon the OMR Answer Sheet are same.Do not open the Question Booklet until the "start opening" signal is given. Candidates are required toverify that the Question Booklet contafns 120 questions in 16 pages. If any printinglbindfng etc. mistakesare found, immediately inform the Invigilator and get a fresh booklet of the same version.

4. Use of calculators, cell phones and other electronic dGviceslS NOT PERMITTED inside Examination Ha~1.5. Candidate should careful~y read the instructions printed on The Question Booklet and OMR Answer Sheet and make ..

correct entries in the OMR Answer Sheet. As OMR Answer Sheets ate designed to suit the COMPUTERISED ..ASSESSMENT SYSTEM, special care should be taken to darken the correct bubble. Fi~1the bubbles corresponding toQuestion Booklet Number, Version Code and Hall Ticket number correctly in the OMR Sheet. Do not write stray markany where in the OMR Sheet.For each question, choose the correct response answer from out of the four available options.Each correctly answered question carries 4 marks and each wrongly answered question invites ONE NEGATIVE marl

For answering a quesUon, fill the appropriate bubble in the OMR Answer Sheet completely like this ~by using blueJblac!t ball point pen only.

9. Each question has only one correct answer and the candidates have to darken the bubb!e corresponding to correct ..answer. Multiple bubbles will be treated as Wrong' and invites 1 NEGATIVE mark.No white filling :s permitted in OMR Answer Sheet for any correction .Clarifrcations on questions are not permitted.Rough work can be done in any blank space provided in the Question Booklet only. Rough work should not be done ..anywhere on the OMR Answer Sheet.No cand'date is aHowed to leave the Examination Ha~11m the exam:nation is over and instructed by invig:tator.Immediately after the prescribed examination time is over, the OMR Answer Sheet should be returned to the Invigilator. ..Conf1:rmthat the Question Bookret and OMR Answer Sheet bear the signature of candidate and the Invigilator at the ..appropriate places. ...

6."" 7.

.. 8.

..10.-.11...12.

..... ;: ~: :~ ~~ ~~ ;~ :2 Jt oiL ,; ••.. J: :: 1: .~ •• ," •• J: -:! .~:':--Jt J:: :: _•.• !~ ~t -,~--Jr ••. :::-.'1 J= IL_'C ..][~-:

Page 2: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

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Page 3: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

111111111' ""11111 11110 11111 1111111111111111 "" 3

MATHEMATICS

B) (a+b) and axb

D) a-b and axb

1. Let a and b be two vectors. Which of the following vectors are not perpendicular toeach other?

A) (axb) and a '

C) a+b and a-b

[a b CJ

2. If A = b c a ,where a, b, c are real positive numbers such that abc = 1 and ATA = I,cab

then the equation that holds true among the following isA) a + b + c = 1 B) a2 + b2 + c2 = 1C) ab + bc +ca = 0 D) a3 + b3 + c3 = 4

3. The equation of the tangent at any point of the curve x = a cos 2t, y = 2.J2 a sin t, with mas its slope, is

A) y= mx+a( m-' ;) B) y= mx-a (m+ ;)

C) y=mx+ m( a+:)

4. The locus of the mid points of"all chords of the parabola y2 = 4x, which are drawnthrough its vertex, is

A) y2= 8x B) y2 = 2x C) x2 + 4y2 = 16 D) x2 = 2y

5. The value of 11m. .Ja + 2x -.j3i. is. X~ a ,J3a+x- 2.JX

2A)

3

C) 3.[32

2B) .f3

2D) 3.,J3

B) 411:- 2109 tan 511:3 12411: 511:D)--log tan-3 3

Page 4: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

--....,..""'4!!!'1:!l{,:=;:. ,~~~:::_,_:""::_;-1!!!l!~_t5.S=rIEi,.,

4 1111111111111111111111111111111111111111

x2 y2 X2 y2 1 '7. The foci of the ellipse - + 2' = 1 and the hyperbola _....: - = - coincide, then the

16 b 144 81 25

value of b2 isA) 1 B) 5 C) 7 D) 9

sin(A+B+C)

8. If.A + B + C = 1t, then, the value of - sin Bcos(A+B)

sinBo

-tan A

cosC -tanA iso

A) 0 B) 1 C) 2 sin A sin B D) 2

If the mean deviation of the numbers 1, 1 + d, 1+ 2d, ... , 1+ 1OOdfrom their mean is 255,then the value of d isA) 20.0 B) 10.1 C) 20.2 D) 10.0

If P = sin20 e + cos48 e , then the inequality that holds for all values of e isA) P ~ 1 B) 0 < p:r;; 1 C) 1 < P < 3 D) 0 :r;; P :r;; 1

If a, b, c are in geometric progression, then logax x, logbx x and logcx x are inA) Arithmetic progression B) Geometric progressionC) Harmonic progression D) Arithmetico-geometric progression

9.

d

il 10.

11.

A A A

If-- d b- . . b - i - 2j d b- 2 i + j + 3k h h I12. a an are vectors In space, given y a = r;:; an = J14 t en t eva ue

"Ii5 14

of (2a + 5). [(ax 5)><(a - 25)] isA) 3 B) 4 C) 5 D) 6

1 1 1 113. The value of the sum 2../1+ 1.[2+ 3.[2 + 2J3 + 4-13 + 3J4 + ... + 25-J24 + 24.J2.5 is

9 4 14 7A) 10 B) 5 C) 15 D) 15 "

D) 42

",', 14. If a = f - k, b = x i+ 1+ (1- x) k and c = y r + x 1+ (1+ x - y) k, then ~ be] depends on

A) Neither x nory B) Only xC) Only y D) Both x and y

1j/tf 42 (nP2) == np4 then the value of nisA) 2 _B) 4 y) 9

16. The foot of the perpendicular from the point (2,4) upon x + y = 1 is

A) G. ~) B) (- ~. ~) C) (~. ~) 0) (!-~)3' 2

Page 5: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

5111111111111111111111111111111111 III/III

17. The value of K for which the equation (K - 2) x2 + 8x + K'+ 4 = 0 has both real, distinctand negative roots isA) 0 B) 2 C) 3 D) _ 4

B) 5x-4y-6=0D) 5x-4Y+6=0

18. If (2, 1), (-1, -2), (3, 3) are the midpoints of the sides BC, CA, AB of a triangle ABC, thenequation of the line BC isA) 5x + 4y + 6 = 0C) 5x + 4y - 6 = 0

19y-lt-a fair dice is rolled successively, then the probability that 1 appears in an even numbered( throw is . -t-

5 6 1 5 '"l IIA) 36 B) 11 9--s 0) 11 '3i" -3,

D) 2f-]+3k

20. Let a = f + ] + k , b = i-]+ k and c = i-]-k be three vectors. A vector V in the plane of- c 1a and b whose projection on Ic I is J3' is

A) 3f--:J+3k B) f-3]+3k C) 5f-2]+5k

21. The number of bit strings of length 10 that contain either five consecutive O's or five ]..Lconsecutive 1'sis ;l

A) 64 B) 112 C) 220 D) 222

122. If 0 < x < 1t and cos x + sin x = 2' then the value of tan x is

A) 4-.J73 C) 1+.J7

4D) 1-..fj

4

;,,;.

?S. If a, band c are the position vectors of the vertices A, B, C of a triangle ABC, then thearea of the triangle ABC is

A)~ Iiixb +bx e+ ex iii B) liix bl---/

C) ~'axb-bxe-ex~ 0) liiX(bxc~

24. If JeX(f(x) - f'(x»dx = ~(x), then the value of JeXf(x)dx is

A) ~(x)+ eXf(x) B) ~(x)_ eXf(x)

C) ~[~(X)+eXf(X)J D) ~~(x)+exf'(x)]2 225. If 3x + 4y + K == 0 is a tangent to the hyperbola 9x2 - 16y2 = 144, then the value of K is

A) 0 B) 1 C) -1 D) -3

Page 6: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

#., \?¥. . ..;., it

6 1111111111111111111111111111111111111111

26. a, b, c are positive integers such that a2 + b2 - 2bc = 100 and 2ab - c2 = 100. Then the

I f a+b .vaueo -- ISC

A) 10 B) 100 C) 2 D) 20

27. If (- 4,5) is one vertex and 7x - y + 8 = 0 is one diagonal of a square, then the equationof the other diagonal isA) x + 7y = 21 B) x + 7y = 31 C) x + 7y = 28 D) x + 7y = 35

28. Out of 2n+ 1 tickets, which are consecutively numbered, three are drawn at random.Then the probability that the numbers on them are in arithmetic progression is

~ n ~ ~A) 4n2 -1 B) 4n2 -1 C) 4n2 -1 D) 4n2-1

29. A circle touches the X-axis and also touches another circle with centre at (0, 3) andradius 2. Then the locus of the centre of the first circle isA) a parabola B) a hyperbola C) a circle D) an ellipse

30. Let p and Q denote the complements of two sets P and Q. Then the set(P- Q)u(Q- P)u(PnQ) is

A) PuQ B) P u Q C) PnQ D) Pn Q

d2xo 31. With the usual notation, -2 is

dy

B) d2y (dy]-2

dx2 dx

,022

32. The radius of the circle passing through the foci of the ellipse ~+ L = 1 and having16 9

its centre at (0, 3) is

A) 4 units B) 3 units C) m. units7

D) 2 units

33. A function f : (0, 7t) -+ IRdefined by f(x) = 2 sinx + cos 2x hasA) A local minimum but no local maximumB) A local maximum but no local minimumC) Both local minimum and local maximum.D) Neither a local minimum nor a localrriaximum

34. A matrix Mr is defined as ~ = [r r -1] r EN, then the value ofr-1 r .

det (M1) + det (M2) + ... + det (M201S) is

A) 20142 B) 20132 C) 2015 D) 20152

or

Page 7: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

111111111111111111111111111111111 111111'7

35. If AC = 21+ 1+ k and Bi3= -I + 31+ 2k then the area of the quadrilateral ABCD is

A) 5 J32 B) 513 15 r;::

C) -'V32 D) 1013

36 Th I f. -1 1 . -1 .f2-.J1 . -1 .j3 -.J2 t. f' 't" "I t. eva ue 0 sin r;:: + Sin C - + sin r:;: + .... 0 In 1my IS equa 0. ",2 ",6 'V12A) n 1t

B) 31tC) 2

1tD) 4

37. If two circles x2 + y2 + 2gx + 2fy = 0 and x2 +y2 + 2g'x + 2f'y = 0 touch each other thenwhich of the following is true?

A) gf = g'f' B) g'f = g1' C) gg' = ff' D) None of these1t

38. J [cot x] dx , where [.] denotes the greatest integer function, is equal toon 1tA) - B) 1 C) - 1 D) __2 2

39. In a right angled triangle, the hypotenuse is four times the perpendicular drawn to itfrom the opposite vertex. The value of one of the acute angles isA) 45° B) 30° C) 15° D) None of these

3D) -

4C) 2

3

1B) -

3

40. A is targeting B, Band C are targeting A. Probability of hitting the target by A, Band C2 1 . 1

are 3' "2 and 3 respectively. If A is hit then the probability that B hits the target and Cdoes not, is

1A) -

2

41. If the angles of a triangle are in-the ratio 2: 3 : 7, then the ratio of the sides opposite tothese angles is

" A) 12: 2: .J3+ 1 " .f2.B) 2:.J2: 13+ 1 C) 2: 12: .J3-1

42. Suppose that A and B are two events with probabilities P(A) = ~. P(B) = ~ .Then whichof the following is true?

1 1A) -:S;P(AnB)::;;-3 2. ..1 1C) -:S; P(A n B) :S;-6 . 3

Page 8: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

1111111111111111111111111111111111111111

1

"]

~.3'3'3

44. A harbour lies in a direction 60° South of West from a fort and at a distance 30 km fromit, a ship sets out from the harbour at noon and sails due East at 10 km an hour. Thetime at which the ship will be 70 km from the fort isA)7PM B) 8PMC) 5 PM D) 10 PM

8. ...____--"-'- c. .:::-,;:::~

~The number of one-to-one functions from r('2, 3} to {1 , 2, 3, 4-:5} is-. - ...-A) 125 B) 243

C) 10 D) 60

45. If x, y, z are three consecutive positive integers, then log (1 + xz) is

A) log Y B) log Y2

C) log (2y) D) 2 log (y)

46. A professor has 24 text books _Ol}__~omputer science and is concerned about theircoverage of the topics (P) compilers.1Q) data structures and (R) operating systems.The followingdata giv~~ tb.e;~mbe-r of books that.contain material on these topics:n(P) = 8, n(Q) = 13, I\l(~)=:.J3,-n(pn Q) = 5, n(Pn R) = 3, n(Qn R) = 6, n(PnQn R) = 2,where n(x) --isthe carar-nality of the set x. Then the number of text books that have nomaterial on compilers is ' - - -A) 4 B) 8 C) 12 D) 16

D) J2 - .[3C) .J2. +.[3C\.~(,3...-----'"')\

48. If a and b are vectors such that I a 1= 13 ,I b 1 = 5 and a. b = 60 then the value of lax 51 is

A) 625 B) 225 C) 45 D) 25

47~ The value of tan( 781t) is

A) 1 - .J2 B) 1 + .J2

D) .25-13C) 50

49. Two towers face each other separated by a distance of 25 meters. As seen from the topof the first tower, the angle of depression of the second tower's base is 60° and that ofthe top is 30°. The height (in meters) of the second tower is

50 25A) - B) -.J3 .J3

50. If a = 4i + 61 and b = 3}+ 4k , then the vector form of the component of a alongb is

18 (1\ 1\)A) 113 3 j+4k10 13 .

18 (1\ 1\)C) .J13 3 j+ 4k

Page 9: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

111111111" 1111 1111111111111111111111111 9

,I

II

II

ANALYTICAL ABILITY AND LOGICAL REASONINGQuestions 51 and 52 are based on the following:The letters of English alphabet from A to M were written, leaving space for one ietter betweenevery two letters and then ~he remaining letters were inserted beginning with N and endingthe series with Z after M.

~hiCh letter would be 3rd to the right of the 7th letter from the left?A) C . B) 0 ~. 0) S .

52/Which letter would be exactly in the middle of eighteenth letter from the beginning and,./ fifteenth from the end?

A) G ~. C) J 0) L

y. How many 3-digit numbers divisible by 5, can be formed using the digits 2, 3, 5, 6, 7and 9, without repetition of digits? .A) 216 B) 20 C) 120 0) 24

54. Using only 2, 5, 10, 25 and 50 paise coins, what is the smallest number of coins requiredto pay exactly 78 paise, 69 paise and ~ 1.01 to three different persons?A) 19 B) 20 C) 17 0) 18

55. Which of the following two patterns will fit in the blanks of the series ZAs' Y4B, XC6,

W3D, \IE ., ?A) VE7 and U2E B) V2E and U7F C) VE7 and U2F 0) VF

7and U

2E

56. Which of the following numbers comes next in the two-digit decimal number sequence61, 52, 63, 94, ?A) 65 B) 64 C) 56 0) 46

57. Three ladies X, Y and Z marry three men A, Band C. X is married to A, Y is not marrie'd/" to an engineer. Z is not married to a doctor, C is not a doctor and A is a lawyer. Then

which of the following statements is correct?A) X is married to a doctor B) Y is married to C, who is a doctorC) Z is married to B, who is an engineer 0) None of these

~ There are five books A, B, C, 0 and E placed on a table. If A is placed below E, C is. placed above 0, B is placed below A and 0 is placed between A and E, then which of

the following books can be on the top?A) D or E B) C or E' C) A or E 0) None of these

~ Among five children A, B, C, 0 and E, B is taller than E but shorter than O. A is shorterthan C but taller than O. If all the children stand in a fine according to their heights, thenwho would be the fourth if counted from the tallest one?A) 0 B) C yrs D) A

Questions 60 to 63 are based on the following:• In a family of six person A, B, C, 0, E and F there are two married couples.• 0 is grandmother of A and mother of B.• C is wife of B and mother of F• F is the grand daughter of E..£ro. What is C to A?

A) Daughter B) Grandmother g).-Mother 0) Cannot be determined

Page 10: OiV;::l IV uti:Jha.. QJI Iw5J~[[] ..Total No. of Questions: 120 …mcahelpdesk.weebly.com/uploads/4/9/2/9/49291707/nimcet... · 2019. 9. 10. · A) a+b+c= 1 B) a2+b2+c2= 1 C) ab+bc+ca

c.De:F.VJ ..

'1'L:rt:.l-M~or~{t

S~\JVuJY.'I<t.

1111111111111111111111111111111111111111

JP~

D) G, D, E

D) None of these

B) A is sister of F~ None of these

n 206C~'':>f- ~ocoyf- t- ~ bO

2-0tf1 .- \0

~ (\ ~ \~o 10

61. How many ;iiale.-'members are there in the family?/A) Two B) Three

C) Four 9Y Cannot be determined~. Who among the following is one of the couples?

A) CD -B) DEC) EB D) Cannot be determined

~ Which of the following is true?A) A is brother of FC) B has two daughters

Questions 64 to 67 are based on the following:A, B, C, D, E, F and G are seven girls having different amount of money from among ~ 10,

[/120, 41l, ~,~, 1~ and ~ with them. They had 3 chocolates, 2 toffees and 2 lollipopstogether, each one having one of these seven items. .• Band F do not have chocolates and they have ~ 200 and ~ 80 respectively.• C has ~ 60 with her and G has an amount which is neither ~ 40 nor ~ 120.• A has ~ 10 and does not have a toffee.• The girl having ~ 40 with her is the only one other than A to have the same type of item.• E and'the girl having ~ 20 with her have the same kind of item.~ How much amount does G have with her?

b1 ~20 B) ~ 10 C) ~6065. Which of the following girls have chocolates with them?

A) F, C, G B) C, G, E C) C, G, D

.66. Which of the following combination is definitely correct?A) C - chocolate - ~ 60 B) G - toffee -~ 20C) D - chocolate - ~ 40 .D) None of these " ~-r---r" , . v

67. Which girl has ~ 40 with her? \)~ B) A t I , I 1 ., , .-'C) D D) None of these -r S U.

~, Q, R, S, T, U and V are sitting in a row facing North. In order to determine, who issitting exactly in the middle of the row, which at the following information is needed?I) T and U are sitting at extreme ends of the rowII) S.is third to the right of JIII) Q is four places to the "leftof Rand P is two places to the left of VNI and II only are sufficient B) I and IIIonly are sufficientC) I and either IIor III are sufficient D) I, IIand III

? How many times do the hour and the minute hands of a clock overlap in 24 hours?../A) 24 B) 22 C) 26 D) 20 .

ZP01n a certain code, TOGETHER is coded as RQEGRJCT. In the same code, PA80LE~.. will be written as :z.~l.-1.-+-2. . . ,

A2.JJePQJG B) NCQPJG C) RCPQJK D) RCTQNG

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71A drawer contain and 10 brown socks which are all mixed up. What is the./ smallest number of socks to be taken from the drawer to decide without seeing them, to

be sure that there is atleast one pair of socks of the same colour?A) 11 B) 10 .PYf ~annot be determined

'72. Find the missing number in the series : ~?,,;!.5, 10, I, 20;..,16j19.A) 13 B) 15 . .' C) 20 . ..0) 28

Questions 73 to 76 are based on the following:A circular field with inner radius of 10 meters and outer radius of 20 meters is divided into 5successive stages for ploughing, The ploughing at each stage, with starting pointsP1, P2, P3, P4and P5,was allotted to one of the five farmers F1, F2, F3, F4, and F5, not necessarily inthat order.o F5 was allotted the stage starting at point P4.o The stage from P5 to P3 was not the first stage.o F4 was allotted the work of the fourth stage.o Finishing point of stage 3 was P1 and the work was not allotted to F1.o F3 was allotted the work of stage ending at P5.

73. Which of the following is the finish point for farmer F2?A) P1 B) P2 C) P3

74. Which stage was ploughed by F5?A) 2 B) 3 C) 4 D) 5

75. What are the starting and ending points of the field ploughed by F4?A) P1 and P2 B) P1 and P4 C) P4 and P2 D) P2 and P4

76. What is the starting point for stage 3?

A) P2 B) P3 C) P4 . D) Cannot be determined?:k1f Tuesday falls on the fourth of a month then which day will fall three days after 24th of the .

same month? . .'A) Monday B) Tuesday GYfhursday D) Friday

~e statements "All chickens are birds", "Some chickens are hens" and "Female birds,lay eggs", are all facts, then which of the following must also be a fact?I. All birds lay eg.gs II. Some hens are birds III. Some chickens are not hensA) I and II, ~d III C) I and III D) Neither I nor II nor III

Questions 79 to 82 are based on the following: .o There is a family of six members A, B, C, D, E and F , . ',.o There are two married couples in the familyand the familymeinbersrepresent three generations.o Each member has a distinct choice of a colour amongst Green, Yellow, Black, Red, White

and Pink.o No lady member likes either Green or White.o C, who likes Black colour, is the daughter~in-Iaw of E.oBis the brother of F and son of D and likes Pink.o A is the grandmother of F and F does not like Red. .o Wife of the husband having a choice for Green colour, likes.Yellow.79. Which of the following is the colour preference of A?

A) Red ' B) YellowC) Either Red or Yellow D) Cannot be determined

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12 1111111111111111111111111111111111111111

80. Which of the following could be the colour combination of one of the couples?A) Yellow-Red B) Green-Black C) Red-Yellow D) Yellow-Green

81. Which of the following is one of the married couples?A) CD B) ACC) AD D) Cannot be determined

rhiCh of the following is true about F?A) Brother of B B) Sister of BC). Daughter of C ~nnot be determined

~f the English word "EXAMI~ATION" is coded as 5614951g965, then the word"GOVERNMENT' is coded as..At 7645954592 B) 7654694562 C) 7645955423 D) 7654964526

D) 4

D) T

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84. Gopal starts from his house towards West. After walking a distance of 30 meters, heturned towards right and walked 20 meters. He turned left and after moving a distanceof 10 meters, turned to his left again and walked 40 meters. He then turned left andwalked 5 meters. Finally, he turns to his left. In which direction is he walking now?A) North B) South C) East D) South West

85. Read the conclusion and then decide which of the given conclusions logically followsfrom the two given statements, (i) and (ii) disregarding commonly known facts.Statements: (i) No woman teacher can play. (iitSome woman teachers are athletes.Conclusions: I. Male athletes can play. II. Some athletes can play.A) Only conclusion I followsB) Only conclusion II followsC) Either I or II follows ('- )D) Neither I nor II follows(~

86. Which of the following numbers come next in the series 8~, 23,87, __ ?A) 128 B) 226 C) 324 D) 429

8~n examination there are 100 questions divided into 3 parts A, B, C and each partshould contain at least one question. Each question in parts A, Band C carry 1,2 and3 marks respectively. Part A is for at least 60% of the total marks and part B shouldcontain 23 questions. How many questions must be set in part C?A) 1 B) 2C) 3. ~annot be determinedy+ means addition, - means division, x means subtractionand + means multiplication,

(36x4)-8x4 .then the value of ------ IS .

4+8x2+16+1A) 0 ~ C) 12 D) 16

$Which letter in the word CYBERNETrCS occupies the same position as it does in theEnglish alphabet? . .A) C B) E t-CYf

9.9/l1le remainder when 231 is divided by 5 isA) 1 B) 2 .Yr3

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13

GENERAL ENGLISH91. Choose the one which best expresses the following sentence in passive/active voice:

"You can play with these kittens quite safely".A) These kittens can be played with quite safely.B) These kittens can play with you quite safely.C) These kittens can be played with you quite safely.0) These kittens can played with quite safely.

92. Which of the following terms refers to the original inhabitants of a place?A) Originals B) Aborigines C) Abominables 0) Cannibals

~place the underlined word with one of the choices given without changing themeaning of the sentence: "The news of our Success was met with exuberant cries".A) Excited B) Pathetic C) Exclusive J)}-Poignant

94./Set;ct the word that is furthest in meaning to the word AFFLUENCE..~ A) Stagnation B) Misery C) Neglect JJ).-Poverty

95. Identify the type of error in the sentence: ''The cost of this project will be much lesserthan 5% more than that predicted earlier".A) syntactical error B) punctuation error C) grammatical error 0) conflicting words

~sert appropriateprepositionsin theblanksto completeth!l'~~tence "Thisp~opertyhas been the possesSion ft!t;,{ the royal family ....•.~~"""-- __ generations".A) with, of, of ~ of, for C) in, with, by 0) of, by, since

97. Choose the right word to fill in the blank in the sentence:"The mermaid legend have originated with a group of mammals collectivelyknown to science as Srinians"A) should B) may C) need 0) can

98. Identify appropriate word to fill the blank in the sentence ''The feeling of guilt left a .--- impression in the life".A) perennial B) parennial C) perannial D) perinial

99. Which of the following sentences is grammatically incorrect?A) He is smiling. B) He smiles. ,C) He always smiles. 0) He is always smiling.

100. Find the most suitable phrasal verb to be filled in the blank in the following sentence;"Left too long in the sun, the leaves had all "A) shrugged off B) shared out C) shrivelled up 0) skived off

~rill in the blank from among the choices in the sentence:A 'Couch potato' is a person who _-Af spends a lot of time watching television B) spends money on potatoesC) likes potatoes 0) is lazy, but intelligent

~hich of the following sentences is grammatically incorrect? ,.A) She never travelled abroad for fear of becoming .illthrough eating foreign food.B) She avoids foreign travel as she fears she will become ill through eating foreign food.«She never travelled abroad due to her fear of becoming ill through eating foreign food.0) She never travelled abroad in fear for becoming ill with eating foreign food.

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103. Match the most suitable phrasal verb from Group L to each word in Group M.Group L Group M

(1) Call out (P) A Foot bailer(2) Stand in for ,------------_______ (Q) A Criminal(3) Send down (R) A colleague(4) Send off (S) A DoctorA) 3 - R, 2 - S, 1 - P, 4 - Q B) 1 - S, 2 - R, 3 - Q, 4 - PC) 1-P,2-Q,3-R,4-S D) 2-P,3-S,4-R,1-0

104. Rearrange the parts of a sentence referred to by P, 0, Rand S to form a complete andmeaningful sentence: "I enclose co., (7' "

P : and the postage 5 Ra :a postal orderR : the price of booksS : which will coverA) R P S Q B) asp R C) QS R P . D)O P S R

105. Which of the following is the antonym of the word "Exigency"?A) Penchant B)' En'lergemcy C) Earnestness D) Indifference

~hjch of the following propositions fills up the blank in the sentence?"Quinine is an effective antidote Malaria".A) to -.B}-against C) for D) none of these

107. In the sentence "The defence labs have showcased many new innovations this year",there is an error of. A) redundancy B) word order C) collocation D) '~mission

Questions 108 to 110 are based on the following:

The proud warrior class of the samurai meanin 'those who serve grew from a band ofmercenaries hired by feudallarn:lowl]ers I . the 11th century to win them the control of HQnshu,Japan's main island. These iTi~rcenaries ~he sword, worshipping athleticprC?wejsan~1 skills:,They deveioped cifierce loyaity to their masters and a fear essness. that made them formidable adv~rsaries. They fouQbt in elaborate armour, wieldin1l!!1eir mostprized pos~ession~ doub@:~Qged~~vyj~h whiQhttiey-coul~t a m~njn half ...

. Later the~ Wi~c~ of Zen Budd~ism, with its love of na~urg soft~e.Q tt}E~Irfightingzeal. Itbecame fashionable for: them to live sparce and frugal lives dUring the Kamakuraera"(1192-1333):vvnenme ruling warrior family Minamato moved their seat of power to theeastern city of Kamakura.

108. Who ~re usually referedto as mercenaries? ./A) Soldiers with martial skills' .~ Proud warriors

C) SoJdierswho fightfor money D) Loyal warriors~. Which of the following best describes the warriors?

A) Proud, greedy B) Fearless, worshipful,CJLoyal, fearless D) Possessive, soft

110. In the Kamakura period it became fashionable for these warriors to liveA) Zealous lives. B) Austere lives C) Powerful lives D) Natural lives

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f1 = L m (4, 5, 6, 7, 8), fa = Lm (1,6, 15) and f = L m (1, 6, 8, 15) then f2is

A) L (4,6) B) L: (4,8) C) L: (6,8) D) L: (4,6,8)

~hiCh of the following is equivalent to the expression (X + V + Z )?

A) (x+V)Z' . B) (X+V)Z C) (X+v)z ~X+V)Z115. {p ~ q v r, q ~s, r ~ s} is logically equivalent to

A) q ~ r B) r ~ q C) p ~ s D) s ~ P

1'16. The minimum number of MOS transistors required to make a dynamic RAMcell is

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

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D) 09H

117. Consider 4-bit gray code representation of numbers. Let hah2h1hobe the gray code _

representation of a number nand gag2g1go be the gray code representation of the . I'l.~.number (n + 1) modulo 16. Which one of the following functions is correct? ~ __

- . r. b - ~)l. (~.-.4J)A) go(hah2h1ho)- L(1,2,3,6,10,13,14,15) ~

B) g1(hah2h1ho) = L:(4, 9,10,11,12,13,14,15) -t4 ')('Q}"L'f.)b -t--'C) g2(hah2h1ho)= L: (2,4,5, 6, 7, 12, 13, 15) ,

D) ga(hah2h1ho)= L (0,1,6,7,10,11,12,13)

~The minimum number of NAND gates required to realize AB+ AB'O + AB'O' isA) 3 - B) 2 prr D) 0

119. When the value 37H is divided by 17H, the remainder isA) COH B) 03H C) 07H

19!k The number of Boolean functions Possible.with n binary variables is equal to,-/ - 1

A) 22'1 . B) 2n _- C) 2~ --e) 2n-1

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