Air Force X & Y Group model Paper | Air Force Unit Test by Major Kalshi Classes

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ENGLISH SPOTTING ERRORS Directions : Each item in this section has a sentence which is divided into four parts labelled (a), (b), (c) and (d). Read each sentence to find out whether there is any error in any part and indicate your answer in the Answer Sheet against the corresponding letter i.e., (a) or (b) or (c). If you find no error, your response should be indicated as (d). 1. An one eyed man (a)/ is standing outside (b)/ my gate. (c)/ No error. (d) 2. White House is the (a)/ official residence of the president (b)/ of United States of America. (c)/ No error. (d) 3. The Head quarter of MKC is in Allahabad (a)/ and it is surprising (b)/ that you do not know this fact (c)/ No error. (d) 4. Many of the MPs absented themselves (a)/ from Parliament when some issues of (b)/ the highest national importance were to be discussed. (c)/ No error. (d) 5. It is this very ordinariness of our words (a)/ that count because they are society’s (b)/ shorthand for its subliminal feelings. (c)/ No error. (d) FILL IN THE BLANKS Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select whichever word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly. 6. We usually go out for ______ walk in ______ morning. (a) the, a (b) a, the (c) a, an (d) No Article 7. Ram married his ............... sister. (a) friend’s Mohan (b) friend Mohan’s (c) Mohan friend (d) None of these 8. Ram has sent you ..................... (a) congratulation (b) congratulations (c) congratulated (d) None of these SENTENCE IMPROVEMENT Directions : Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of them, (a), (b) or (c), is better than the underlined part, indicate your response on the Answer Sheet against the corresponding letter (a), (b) or (c). If none of the substitutions improve the sentence, indicate (d) as your response on the Answer Sheet. Thus a ‘No improvement’ response will be signified by the letter (d). 9. The Everest is the highest peak of the Himalyas. (a) A Everest (b) An Everest (c) Everest (d) No improvement 10. He gave me one rupee and a half. (a) one and a half rupee (b) one and a halves (c) both (a) and (b) (d) No improvement rupees 11. I am used to serving all and sundry. (a) to serve (b) serving (c) served (d) No Improvement 12. Choose appropriate synonym of RELY (a) Repent (b) Betray (c) Lean (d) Trust 13. Choose the appropriate antonym of OBLIGATORY (a) Compulsory (b) Exclusionary (c) Voluntary (d) Exemplary 14. 'To pass the buck' means (a) Depend on (b) To make a better (c) To blame each other (d) Feel excessively impression

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15. Give one words substitution for the following expression-

One who is breaker of images and traditions (a) Bohemian (b) Entrepreneur (c) Iconoclast (d) Idolater ORDERING OF WORDS IN A SENTENCE Directions : Each of the following items in this section consists of a sentence the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (a), (b), (c) and (d). You are required to re-arrange the jumbled parts of the sentence and select the correct sequence. 16. She complained that P. that it took a month Q. to clean it R. the house S. was so dirty The proper sequence should be: (a) PQRS (b) SPQR (c) PSQR (d) RSPQ 17. It is easier P: to venture into space Q: for men R: beneath their feet S: than to explore The proper sequence should be: (a) QRPS (b) QPSR (c) PSRQ (d) PQSR COMPREHENSION Directions: In this section, there is one short passage. After the passage, you will find a few questions each based on what is stated or implied in the passage. First read the passage and then answer the questions following it. PASSAGE One day my brother brought home a new song bird. It was the smallest of them all, a tiny creature of blue and a red that sparkled when brushed by the Sun. But there was a problem: while the others sang, this new bird remained silent. My brother tried coaxing music out of him, in vain. He tried attacking with a stick, but the bird was unmoved. My brother first tried withholding food, but later when the incentive was offered the bird ignored it, and twice he knocked over his dish, scattering the seed. 18. What does the word “coaxing” mean? (a) to behave (b) to use violent means (c) to gently persuade (d) to beat repeatedly 19. At first his brother tried to get the bird to sing by (a) tempting with food (b) placing it in the company of the other birds while they sang (c) singing to the bird himself (d) withholding food 20. One day the writer’s brother brought home a bird (a) which never ate food (b) which flew so high it seemed to touch the sun (c) whose colours shone brightly in the sunlight (d) which was the largest of all the birds in his collection

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MATHEMATICS 15 21. The coefficient of x in the expansion of 21.  4 1 ds çlkj esa x 32 dk xq.kkad gS% x  15  3  1  4  x    x  3  is: 15 x  (a) C5 (b) 15 C6  (a) 15 C5 (b) 15 C6 (c) 15 C4 (d) 15 C7 (c) 15 C4 (d) 15 C7 32

22. The sum of the coefficients in the expansion

of (1  x  3x 2 )3148 is: (a) 7 (b) 8 (c) –1 (d) 1

ds foLrkj esa xq.kkadksa dk ;ksxQy

gS%

23. The coefficient of x n in the expansion of

(1  x  x 2  ....) n is: (a) 1

22. (1  x  3 x 2 )3148

(b) (1) n

(d) n  1 24. The coefficient of x in the expansion of (1  x 2 )5 (1  x)4 is: (a) 30 (b) 60 (c) 40 (d) None of these 25. There are n letters and n addressed envelopes. The probability that all the letters are not kept in the right envelope, is: (a) 1 (b) 1 1 n! n! (c) (d) None of these 1 1 n 26. The probability of getting 4 heads in 8 throws of a coin, is: (a) 1 (b) 1 2 64 8 (c) C4 (d) 8 C4

(a) 7 (b) 8 (c) –1 (d) 1 23. (1  x  x 2  ....) n ds çlkj esa x n dk xq.kkad gS% (a) 1 (b) (1) n (c) n (d) n  1

24. (1  x 2 )5 (1  x)4 ds

(a) 30 (c) 40

(a) 1 n! (c) 1 1 n 26.

(a) 1 2 (c) 8 C4 27.

A B 

(b) 1 2 (d) 3 4

 A P   B (a) 0 (c) P ( A)

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1 n!

(d) buesa ls dksbZ ugha

(b) 1 64 (d) 8 C4 28

(b) 1 2 (d) 3 4

;fn A rFkk B nks Lora= ?kVuk,¡ gksa rks P    B A

(a) 0 (c) P ( A)

(b) 1 (d) P ( B )

1

,d flôk nks ckj mNkyk tkrk gSA ;fn ?kVuk,¡ A rFkk B fuEu çdkj ifjHkkf"kr gkas : A= igyh mNky ij 'kh"kZ] B  nwljh mNky ij 'kh"kZ] rks ( A  B) dh çkf;drk gS (a) 1 4 (c) 1 8

28.

(b)

,d flDds dks 8 ckj mNkyus ij 4 'kh"kZ vkus dh çkf;drk gS%

28. If A and B are two independent events, then

buesa ls dksbZ ugha

(d)

i= rFkk n irs fy[ks fyQkQs gSaA lHkh i=ksa ds lgh fyQkQksa esa u j[ks tkus dh çkf;drk gS%

defined as : A = head on first toss, B  head on second toss. Then the probability of (a) 1 4 (c) 1 8

(b) 60

25. n

27. A coin is tossed twice. If events A and B are

foLrkj esa x 5 dk xq.kkad gS%

(b) 1 (d) P ( B )

29. A coin is tossed 10 times. The probability of

getting exactly six heads is: (a) 512 (b) 105 513 512 (c) 100 (d) 10C 6 153 30. In binomial probability distribution, mean is 3 3 and standard deviation is . Then the 2 probability distribution is: (a)  3 1 12 (b)  1 3 12       4 4 4 4 9 (c)  1 3  (d)  3 1 9       4 4 4 4 1 a  4 31. If A    , then A is equal to: 0 1   4 (a) 1 a  (b)  4 4a    0 4    0 1 

32.

33.

34.

35.

(c)  4 a 4  (d) 1 4a    0 1    0 4  A, B are n-rowed square matrices such that AB  O and B is non-singular. Then: (a) A  O (b) A  O (c) A  I (d) None of these cos   sin   If A    , then which of the  sin  cos   following statements is not correct: (a) A is orthogonal (b) A is orthogonal matrix matrix (c) Determinant A = 1 (d) A is not invertible  2 3 The inverse of   is:  4 2  (a) 1  2 3  (b) 1  3 2  8  4 2  8  2 4  (c) 1  2 3  (d) 1  3 2    8 4 2 8  2 4  If  is the cube root of unity, then 1  2  2 1 =

2 (a) 1 (c) 

29.

,d flDdk 10 ckj mNkyk tkrk gS] Bhd 6 'kh"kZ vkus dh çkf;drk gS% (a) 512 513 (c) 100 153

30.

(b) 105 512 10 (d) C 6

çkf;drk f}in forj.k esa ek/; 3 ,oa ekud fopyu 3 gS] rks çkf;drk forj.k gS% 2 (a)  3 1 12 (b)  1 3 12       4 4 4 4 (c)  1 3 9 (d)  3 1 9       4 4 4 4

1 a  4  rks A cjkcj gS% 0 1   4 (a) 1 a  (b)  4 4a    0 4    0 1  4 (c)  4 a  (d) 1 4a    0 1    0 4  32. A,B ;k n iafDr;ksa okys oxZ vO;wg bl izdkj gS fd AB=0 vkSj B ,dy ugha gSa rks% (a) A  O (b) A  O (c) A  I (d) buesa ls dksbZ ugha 31.

;fn A  

33.

;fn A  

cos   sin 

 sin   rks fuEu esa ls dkSu lk cos  

dFku lgh ugha gS% (a) ,d vk;rh; vkO;wg (b) A vk;rh; vkO;wg gS (c) lkjf.kd A = 1gS (d) A O;qRØe.h; ugha gS  2 3  dk O;qRØe gS%  4 2  (a) 1  2 3  (b) 1  3 2  8  4 2  8  2 4  (c) 1  2 3  (d) 1  3 2    8 4 2 8  2 4 

34. 

35.



;fn  bdkbZ dk /kuewy gS rks&  2 (a) 1 (c) 

(b) 0 (d)  2 Page 5

(b) 0 (d)  2

 2 2 1 = 1 

36. The coefficients of x 3 in the expansion of 3x

is: (a) 33 6 (c) log(33 ) 6 37. log x  log ( x  1)  e e (a) 1 x



36. 3x

(a) 33 6 (c) log(33 ) 6

(b) (log 3)3 3 (d) (log 3)3 6

1 1 1 (b) 1 1  2  3  .....  3  ..... 2 x 2 x 3x 2 x 3x

(a) 1 x

39. Which of the following is incorrect:

(a) A  B  ( A  B)( A  B) (b) ( A )  A (c) ( AB)n  An B n , where (d) ( A  I )( I  A)  O  A2  I A, B commute T T

40. If A is a unit matrix of order n, then

1 1 1 (b) 1 1  2  3  .....  3  ..... 2 x 2 x 3x 2 x 3x

38.

;fn | x | 1 gks] rc (1  2 x  3x 2  4 x3  ....)1/ 2 , ds foLrkj esa x n dk xq.kkad gS% (a) n (b) n  1 (c) 1 (d) –1

39.

fuEu esa ls dkSu lk xyr gS%

(a) A2  B 2  ( A  B)( A  B) (b) ( AT )T  A (c) ( AB)n  An B n , tgk¡ A, (d) ( A  I )( I  A)  O  A2  I B ifjofrZr gksrs gSa 40. ;fn A, n dksfV dk bdkbZ vkO;wg gS rks A(adj A)

gS%

A(adj A) is:

(a) Zero matrix (c) Unit matrix



(1  2 x  3x 2  4 x3  ....)1/ 2 , the coefficient of x n is: (a) n (b) n  1 (c) 1 (d) –1 2

(b) (log 3)3 3 (d) (log 3)3 6

37. log x  log ( x  1)  e e

(c)  1 1 1  (d)  1 1 1  2   3  5  ...  2   3  5  ...   x 3x 5 x   x 3x 5 x  38. If | x | 1 , then in the expansion of

ds çlkj esa x 3 dk xq.kkad gS%

(a) 'kwU; vkO;wg (c) bdkbZ vkO;wg

(b) Row matrix (d) None of these

6

41. The value of the determinant 1 1

1 is: 4 11 1

(a) –75 (b) 25 (c) 0 (d) –25 42. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show even number, is: (a) 9 (b) 8 19 18 (c) 9 (d) 4 18 19

41.

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lkjf.kd 1 1

1 dk eku gS% 4 11 1

(a) –75 (c) 0 42.

6

(b) iafDr vkO;wg (d) buesa ls dksbZ ugha

(b) 25 (d) –25

,d FkSys esa 19 fVdV gSa ftu ij 1 ls 19 rd la[;k;sa vafdr gSaA ,d fVdV fudkyk tkrk gS] igys dks fcuk okil j[ks ,d vkSj fVdV fudkyk tkrk gS rks nksuksa fVdVksa ds le la[;k çnf'kZr djus dh çkf;drk gS% (a) 9 19 (c) 9 18

(b) 8 18 (d) 4 19

43. If A and B are two events such that A  B,

B then P     A (a) 0 (b) 1 (c) 1/2 (d) 1/3 44. A dice is thrown 5 times, then the probability that an even number will come up exactly 3 times is: (a) 5 (b) 1 16 2 (c) 3 (d) 3 16 2 45. Two cards are drawn at random from a pack of 52 cards. The probability that both are the cards of spade is: (a) 1 (b) 1 26 4 (c) 1 (d) None of these 17

43.

;fn A rFkk B nks ,slh ?kVuk;sa gksa fd A  B, rc B P    A (a) 0 (c) 1/2

44.

(b) 1 (d) 1/3

,d ikals dks 5 ckj Qsadk tkrk gS rks Bhd 3 ckj le vad ds Åij vkus dh çkf;drk gS% (a) 5 16 (c) 3 16

(b) 1 2 (d) 3 2

rk'k ds iÙkksa dh ,d xìh ls nks iÙks fudkys x;sA nksuksa gqdqe ds iÙks gksus dh çkf;drk gS%

45. 52

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(a) 1 26 (c) 1 17

(b) 1 4 (d) buesa ls dksbZ ugha

PHYSICS 46. Two blocks P and Q are released at the top of 46. P vkSj Q nks Cykd [kqjnqjs vkur ry ds 'kh"kZ ls a rough inclined plane so that P slides along bl rjg ls NksM+s tkrs gSa fd P vkur ry ij the plane and Q falls down freely. Which will fQlyrk gS vkSj Q dks Åij ls fxjk;k tkrk gS have higher velocity on reaching the ground? tehu ij igq¡pus ij dkSu ls Cykd dk osx T;knk (a) P (b) Q gksxk\ (c) Both will reach the (d) It depends on the (a) P (b) Q ground with same coefficient of (c) nksuksa leku osx ls (d) ?k"kZ.k xq.kkad ij fuHkZj velocity friction igq¡px sa s djsxk 47. A body moving in a circular path with

47.

constant speed has: (a) constant retardation (b) variable acceleration (c) radically outward (d) constant acceleration acceleration 48. A man is moving on horizontal ground with some luggage on his head. He is working– (a) Against gravity (b) Against friction (c) Against friction as (d) Does no work well as gravity

fu;r pky ls o`Ùkkdkj iFk ij xfr dj jgs fi.M dk% (a) fu;r eanu gksrk gS (b) ifjorhZ Roj.k gksrk gS (c) f=T;kd tkod Roj.k (d) fu;r Roj.k gksrk gS gksrk gS

48.

49. Maximum force of friction is called:

49.

,d O;fDr vius flj ij dqN cks> ysdj lery tehu ij py jgk gSA og dk;Z dj jgk gS& (a) xq#Ro ds fo#) (b) ?k"kZ.k ds fo#) (c) ?k"kZ.k o xq:Ro nksuksa (d) dksbZ dk;Z ugha djrk ds fo#) gS vf/kdre ?k"kZ.k cy dgykrk gS% (a) LFkSfrd ?k"kZ.k (b) lhfer ?k"kZ.k (c) xfr'khy ?k"kZ.k (d) lihZ ?k"kZ.k “kfDr okV dk S.I. esa ek=d rqY; gS%

(a) static friction (c) dynamic friction

(b) limiting friction (d) sliding friction

50. The unit of power in S.I. (watt) is equivalent to: –2

(a) kg ms (c) kg m2s–3 51. The work done on a upon: (a) Force applied (c) Initial velocity of the body

(b) kg m s (d) None of these body does not depend

(b) Displacement (d) Angle at which force is inclined to the displacement 52. The momentum of a particle is p and its kinetic energy is E. Which of the following is the relation between p and E, if the mass of the particle be M? (a) p  2ME (b) p  2E / M (c) E  p2 / M (d) None of the above 53. A ball is projected upwards. As it rises, there

is increase in its: (a) Momentum (c) Kinetic energy

50.

2 –2

(a) kg ms–2 (c) kg m2s–3

(b) kg m2s–2 (d) buesa ls dksbZ ugha

51.

,d fi.M ij fd;k x;k dk;Z fuHkZj ugha djrk gS% (a) yxk, x, cy ij (b) foLFkkiu ij (c) fi.M ds izkjfEHkd osx (d) cy vkSj foLFkkiu ds ij dks.k ij

52.

fi.M dk laox s P vkSj xfrt ÅtkZ E gSA ;fn fi.M dk nzO;eku M gS rks] P vkSj E esa fuEu lEcU/k gksxk\ (a) p  2ME (c) E  p2 / M

53.

(b) Retardation (d) Potential energy

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(b) p  2E / M (d) mijksDr esa ls dksbZ

ugh ,d xsan dks Åij dh vksj iz{ksI; fd;k x;kA tSls ;g Åij mBsxh] rks o`f) gksxh% (a) laox (b) eanu esa s esa (c) xfrt ÅtkZ esa (d) fLFkfrt ÅtkZ esa

54. A force F is applied on body (which moves

54.

on a straight line) for a duration of 3 Sec. The momentum of the body change from 10 g cm/s to 40 g cm/s. The magnitude of the force F is: (a) 10 dynes (b) 10 Newtons (c) 120 dynes (d) 12 dynes 55. Two bodies of masses M1 and M2 have equal

55.

kinetic energies. If P1 and P2 are their respective momentum then ratio P1 : P2 is equal to: (a) M1 : M2 (b) M2 : M1 (c) M1 : M2 (d) M12 : M22 56. An elevator is rising vertically with an

(a) M1 : M2 (c) M1 : M2 56.

acceleration a. The force exerted by a body of mass M on the floor of the elevator is: (a) Mg (b) Ma (c) Mg + Ma (d) Mg – Ma 57. With what minimum acceleration can a

fireman slide down a rope whose breaking strength is 40% of his weight: (a) (1/5) g (b) (2/5) g (c) (3/5) g (d) (4/5) g 58. A force 15 Newton acts on a body of weight

30 Newton. What is the acceleration produced in metre per second? Take g = 10 ms–2. (a) 15.00 (b) 5.00 (c) 1.50 (d) 0.50 59. The relation between the time period and

,d fi.M ij 3 lsd.M rd cy F yxk;k tkrk gS ¼tks ,d lh/kh js[kk esa xfreku gS½ ;fn ml fi.M dk laox s 10 xzke&lseh-@lsd.M ls 40 xzke&lseh@lsd.M esa ifjofrZr gks tkrk gS] rks ml cy F dk ifjek.k D;k gksxk\ (a) 10 MkbUl (b) 10 U;wVUl (c) 120 MkbUl (d) 12 MkbUl Øe'k% M1 ,oa M2 nzO;eku ds nks fi.Mksa dh xfrt ÅtkZ ,d leku gSA ;fn P1 ,oa P2 muds Øe'k% laox s gksa rks P1 : P2 dk vuqikr gksxk%

;fn dksbZ fy¶V a Roj.k ls Åij tkrh gS rks M nzO;eku dk dksbZ fi.M tks fy¶V lrg ij j[kk gS lrg ij cy yxk,xk% (a) Mg (c) Mg + Ma

57.

(b) M2 : M1 (d) M12 : M22

(b) Ma (d) Mg – Ma

,d Qk;jeSu jLlh dh lgk;rk ls fdrus U;wure Roj.k ls uhps fQly ldrk gS ftldh Hkatu {kerk mlds otu ds 40% gS%

(a) (1/5) g (b) (2/5) g (c) (3/5) g (d) (4/5) g 58. 30 N otu ds fi.M ij 15 N dk cy yxk;k tkrk gSA ms–2 esa fi.M dk Roj.k D;k gS\ (g = 10 ms–2) (a) 15.00 (b) 5.00 (c) 1.50 (d) 0.50 59.

mean radius of the orbit of a planet about the Sun is given by: (a) Newton’s law of (b) Keplar’s law gravitation (c) the law of (d) None of the above conservation of momentum

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lw;Z ds pkjksa rjQ ?kwers gq, fdlh xzg ds vkorZdky vkSj vkSlr f=T;k ds chp lEcU/k fn;k tk ldrk gS% (a) U;wVu ds xq#Rokd’kZ.k (b) dsIyj ds fu;e ls fu;e ls (c) laox (d) buesa ls dksbZ ugha s laj{k.k ds fu;e ls

60. Three blocks masses 2 kg, 3 kg and 5 kg are

60. 2 kg, 3 kg vkSj 5 kg ds

rhu fi.M ,d gYdh jLlh ls ca/ks gq, fpdus {kSfrt ry ij j[ks gSaA gYds nzO;eku okys fi.M dh rjQ ls rhuksa dks F cy ls [khapk tkrk gS ftlls lHkh 1 ms-2 ds Roj.k ls xfr djrs gSaA T1 vkSj T2 nksuksa jfLl;ks esa ruko dks n'kkZrk gS] F dk eku gSA

connected to each other with light strings and are then placed on a smooth frictionless surface. See fig. below. Let the system be pulled with a force F from the side of lighter mass so that it moves with an acceleration of 1 ms–2. T1 and T2 denote the tensions in the other strings.

The value of F is: (a) 2 N (b) 3 N (c) 5 N (d) 10 N 61. Two blocks of mass 4 kg and 6 kg are placed in contact with each other on a frictionless horizontal surface. See fig. If we apply a push of 5N on the heavier mass, the force on the lighter mass will be:

(a) 5 N (c) 2 N

F dk eku gS% (a) 2 N (c) 5 N

vkSj 6 kg ds nks Cykd ,d fpdus {kSfrt ry ij ,d nwljs ds laidZ esa j[ks gSaA vxj Hkkjh Cykd ij 5N dk cy yxk;k tk,] rks gYds Cykd ij D;k cy gksxk\

61. 4 kg

(a) 5 N (c) 2 N

(b) 4 N (d) None of the above

62. A fire man of mass 60 kg slides down a pole.

ugha dk Qk;j eSu [kEHks ls uhps dh vksj fQlyrk gSA og [kEHks dks 600 N ds cy ls nck jgk gSA mlds gkFk vkSj [kEHks ds chp ?k"kZ.k xq.kkad esa 0-5 gSA Qk;j eSu ds uhps dh vksj fQlyus dk Roj.k D;k gS\ g = 10 ms–2 (a) 10 ms–2 (c) 2.5 ms–2

63.

of magnitude 4 & 3 is 1. The angle between them is? (a) 0 (b) π/4 (c) π/2 (d) π 64. When one swims across a flowing river,

(b) 4 N (d) mijksDr esa ls dksbZ

62. 60 kg nzO;eku

He is pressing the pole with a force of 600 N. The coefficient of friction between the hands and the pole is 0.5. With what acceleration will the fire man slide down? Take g = 10 ms–2 (a) 10 ms–2 (b) 5 ms–2 (c) 2.5 ms–2 (d) 1 ms–2 63. The magnitude of resultant of the two vectors

(b) 3 N (d) 10 N

nks lfn'k ftudk ifjek.k Øe'k% 4 ,oa 3 gS dk ifj.kkeh ifjek.k 1 gSA nksuksa lfn'kksa ds chp dk dks.k gS& (a) 'kwU; (b) π/4 (c) π/2

64.

maximum energy is spent in: (a) first 1/3 of the (b) second 1/3 of the distance distance (c) last 1/3 of the (d) Equal energy is distance spent throughout

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(b) 5 ms–2 (d) 1 ms–2

(d) π

tc dksbZ cgrh unh dks rSj dj ikj djrk gS] rks vf/kdre ÅtkZ [kpZ gksrh gS% (a) nwjh ds igys 1/3 Hkkx (b) nwjh ds nwljs 1/3 Hkkx esa esa (c) nwjh ds vafre 1/3 (d) 'kq: ls vUr rd Hkkx esa cjkcj ÅtkZ [kpZ gksxh

65.

 

65.

Given w  F . S  0 and F  0, S  0 Then: (a)   (b) Fˆ  Sˆ FS (c)   (d) None of these F || S

 

fn;k gS w  F . S  0 vkSj F  0, S  0 rks% (a)



(c)



FS 

F || S

(b) Fˆ  Sˆ (d) buesa ls dksbZ ugha

66. The mass of the body is halved and its speed

66.

is doubled. What happens to the kinetic energy of the body? (a) Doubled (b) Becomes four times (c) Becomes eight (d) Remains times unchanged 67. A light body A and a heavy body B have equal momenta. The kinetic energy of body A will be? (a) Equal to that of B (b) Greater than B (c) Smaller than B (d) Zero 68. The acceleration of a particle, starting from rest, varies with time according to the relation

fi.M dk nzO;eku vk/kk vkSj xfr nksxquh dj nh tk,A fi.M dh xfrt ÅtkZ D;k gksxh\ (a) nksxquh (b) pkj xquk (c) vkB xquk (d) leku jgsxh

67.

,d gYdk fiUM A rFkk ,d Hkkjh fiUM B ds laox s leku gSaA A dh xfrt ÅtkZ gksxh% (a) B ds cjkcj (b) B ls vf/kd (c) B ls de (d) 'kwU;

68.

,d d.k dk Roj.k fojke voLFkk ls izkjaHk djrs gq,] le; ds lkFk ifjorhZ gS a  Aω2 sin ωt. le; t ij d.k dk foLFkkiu gksxk%

: a  Aω2 sin ωt. The displacement of this particle at a time t will be: (a) v2 (Aω2 sin ωt)t 2 (b) Aωsin ωt (c) Aωcosωt

(a) v2 (Aω2 sin ωt)t 2 (c) Aωcosωt

(b) Aωsin ωt (d) Asin ωt

(d) Asin ωt

69. A constant force equal to 10 N keeps a body

dk fu;Ùk cy 10 kg nzO;eku ds fi.M dk osx 10 ms–1 cuk, j[krk gSA fi.M dk osx 5 ms–1 cuk, j[kus ds fy, fdruk cy pkfg,\

69. 10 N

of mass 10 kg moving with a constant velocity of 10 ms–1. What force should act on the body to keep it moving with a constant velocity of 5 ms–1: (a) 5 N (b) 10 N (c) 50 N (d) 100 N

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(a) 5 N (c) 50 N

(b) 10 N (d) 100 N

70. A block of mass M1 is placed on a slab of

70. M1 nzO;eku

mass M2. The slab lies on a frictionless horizontal surface. The coefficient of static friction between the block and slab is 1 and that of dynamic friction is 2. A force F acts on the block M1. Take g = 10 ms–2.

M1  10 kg,

M 2  30 kg,

μ1  0.5, μ 2  0.15 and F = 40 N, what will be the acceleration with which the slab will move? (a) 5 ms2 (b) 2 ms2 (c) 1 ms2

(d) Zero

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dk Cykd M2 nzO;eku dh LySc ds Åij j[kk gSA LySc ,d ?k"kZ.kghu {kSfrt lrg ij j[kk gSA Cykd vkSj LySc ds chp LFkSfrt ?k"kZ.k xq.kkad 1 gS vkSj xfr'khy ?k"kZ.k xq.kkad 2 gSA Cykd M1 ij F cy yxk;k tkrk gSA (g = 10 ms-2)

vxj

M1  10 kg,

M 2  30 kg,

μ1  0.5, μ 2  0.15 and F = 40 N, LySc dk Roj.k

D;k gS\ (a) 5 ms2 (c) 1 ms2

(b) 2 ms2 (d) Zero

71.

72.

73.

74.

75.

76.

RAGA To produce the Constitution, the Constituent 71. lafo/kku cukus esa lafo/kku lHkk us le; fy;k% Assembly took: (a) 2 o"kZ] 11 ekg rFkk (b) 3 o"kZ] 10 ekg rFkk (a) 2 years 11 months (b) 3 years 10 months 18 fnu 10 fnu and 18 days and 10 days (c) 4 o"kZ] 11 ekg rFkk (d) 5 o"kZ] 5 ekg rFkk 5 (c) 4 years 11 months (d) 5 years 5 months 11 fnu fnu and 11 days and 5 days Which of the following countries have an 72. fuEufyf[kr esa fdl ns'k dk fyf[kr lafo/kku ugha Unwritten Constitution? gS\ (a) USA (b) UK (a) ;w0,l0,0 (b) ;w0ds0 (c) India (d) Pakistan (c) Hkkjr (d) ikfdLrku 73. Which part of the Constitution reflects the lafo/kku dk dkSu lk Hkkx fuekZrkvksa ds fopkjksa rFkk views and ideals of the framers? vkn'kksZa dks izfrfcfEcr djrk gS\ (a) Preamble (b) Fundamental Rights (a) izLrkouk (b) ekSfyd vf/kdkj (c) Directive (d) Emergency (c) uhfr funs'kd rRo (d) vkikrdkyhu izko/kku Principles Provisions Which one of the following does not come 74. fuEufyf[kr esa dkSu ,d jkT;ksa ls lacaf/kr laln under the power of the Parliament with regard dh 'kfDr ds v/khu ugha vkrk gS\ to States? (a) ;g jkT; ds {ks= esa (b) ;g jkT; ds {ks= dks (a) It may increase the (b) It may diminish the o`f) dj ldrh gS fudky ldrk gS area of a State area of a State (c) ;g jkT; dh lhek (d) ;g jkT; ds uke dks (c) It may alter the (d) It cannot alter the dks cny ldrh gS ugha cny ldrh gS boundaries of State name of the State In which part of the constitution details of 75. lafo/kku ds fdl Hkkx esa ukxfjdrk dk foLr`r citizenship are mentioned? mYys[k feyrk gS\ (a) Part I (b) Part II (a) Hkkx 1 (b) Hkkx 2 (c) Part III (d) Part IV (c) Hkkx 3 (d) Hkkx 4 76. Which of the following is not included in the Lora=rk ds vf/kdkj esa fuEufyf[kr esa dkSu Right to Freedom? lfEefyr ugha gS\ (a) Freedom of Speech (b) Freedom of Press (a) Hkk"k.k dh Lora=rk (b) izsl dh Lora=rk (c) Right to Residence (d) Right to Hold (c) fuokl dk vf/kdkj (d) flD[kksa dks Ñik.k Kirpan for Sikhs j[kus dk vf/kdkj

77. A socialistic ideology is reflected in the

77.

Directive Principle, which calls for: (a) securing equitable (b) promotion of distribution of cottage industries material resources of the county to prevent concentration of wealth (c) free and compulsory (d) All of the above education for children up to 14 years of age

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uhfr funs'kd fl)kar esa ,d lektoknh fopkj/kkjk izfrfcfEcr gksrh gS] dgk tkrk gS% (a) /ku ds dsfUnzdj.k ls (b) dqVhj m|ksxksa dks cpkus ds fy, ns'k ds izksRlkgu HkkSfrd la'kk/kuksa ds leku forj.k y{; (c) 14 o"kZ rd ds cPpksa (d) mi;qZä lHkh ds fy, eq¶r ,oa vfuok;Z f'k{kk

78. Who has the right under the Constitution to

78.

seek the opinion of the Supreme Court on question of law? (a) President (b) Any High Court (c) Prime Minister (d) All of these 79. Who among the following was not elected for

79.

two terms as the Speaker of Lok Sabha? (a) GMC Balayogi (b) N Sanjiva Reddy (c) Balram Jakhar (d) Baliram Bhagat 80. To which one of the following funds are

80.

salary and allowances of the Judges of High Court of a State charged? (a) Consolidated Fund (b) Consolidated Fund of India of the State (c) Contigency Funds (d) Contigency Funds of India of the State 81. Town Area Committee is constituted and governed by: (a) Governor (b) Municipal Council (c) State Legislature (d) District Board 82. In terms of constitutional status UPSC is:

81.

82.

(a) an advisory body

(b) a grievance redressal body (c) a body in charge of (d) a body which direct recruitment supervises training at state level for civil servants 83. The Supreme Court of India enjoys:

83.

(a) Original (b) Advisory Jurisdiction Jurisdiction (c) Appellate and (d) Original, Appellate Advisory and Advisory Jurisdictions Jurisdictions 84. Which of the following pairs (Parts : Deals with) is not correctly matched? (a) I : Union and (b) XX : Amendment Territory (c) XVIII : Emergency (d) IX : Municipalities, Panchayats 85. The first definite step to exercise parliamentary control over East India Company was taken by: (a) the Regulating Act, (b) the Pitt’s India Act, 1773 1784 (c) the Charter Act, 1793 (d) the Charter Act, 1813 86. If p = 99 then the value of P(P2 + 3P + 3) is:

(a) 9999 (c) 999999

lafo/kku ds vuqlkj] dkuwu ds iz'u ij loksZPp U;k;ky; ls lykg ekaxus dh 'kfDr fdlds ikl gS\ (a) jk"Vªifr (b) dksbZ mPp U;k;ky; (c) iz/kkuea=h (d) buesa lHkh fuEufyf[kr esa dkSu yksd lHkk v/;{k ds :i esa nks ckj fuokZfpr ugha gqvk Fkk\ (a) th0,e0lh0 cky;ksxh (b) ,u0 lathok jsM~Mh (c) cyjke tk[kM+ (d) cfyjke Hkxr fuEu esa ls fdl Q.M ls mPp U;k;ky;ksa ds U;k;k/kh'kksa ds osru vkSj HkÙks fn;s tkrs gSa\ (a) Hkkjr dh lafpr fuf/k (b) jkT; dh lafpr fuf/k ls ls (c) Hkkjr dh vkdfLed (d) jkT; dh vkdfLed fuf/k ls fuf/k ls dLck ¼uxj½ {ks= lfefr dk xBu ,oa lapkyu fd;k tkrk gS% (a) jkT;iky (b) uxjikfydk ifj"kn (c) jkT; fo/kkueaMy (d) ftyk cksMZ laoS/kkfud fLFkfr ds vuqlkj ;w0ih0,l0lh0 gS% (a) ,d lykgdkjh (b) f'kdk;r fuokj.k fudk; fudk; (c) jkT; Lrj ij lh/kh (d) flfoy lsodksa ds fy, HkrhZ dk izHkkjh fudk; izf'k{kd i;Zo{s k.k fudk; Hkkjr dk mPpre U;k;ky; iz;ksx djrk gS% (a) vkjafHkd {ks=kf/kdkj (b) lykgdkjh {ks=kf/kdkj (c) vihyh; ,oa (d) vkjafHkd] vihyh; lykgdkjh {ks=kf/kdkj rFkk lykgdkjh {ks=kf/kdkj

84.

fuEu eas ls dkSu lk tksM+k ¼Hkkx % o.kZu½ lgh lqefs yr ugha gSa\ (a) I : {ks=ksa dk la?k (b) XX : la'kks/ku (c) XVIII : vkikrdky (d) IX : uxj ikfydk] iapk;r

85.

bZLV bafM;k daiuh ij lalnh; fu;a=.k dk izko/kku igyh ckj fd;k x;k% (a) 1773 ds jsxqysfVax (b) 1784 ds fiV~l bafM;k vf/kfu;e }kjk vf/kfu;e }kjk (c) 1793 ds pkVZj ,DV (d) 1813 ds pkVZj ,DV }kjk }kjk ;fn p = 99 rks P(P2 + 3P + 3) dk eku gS%

86.

(b) 99999 (d) None of these

(a) 9999 (c) 999999

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(b) 99999 (d) bueas ls dksbZ ugha

87. The greatest among the numbers 4

1, 4, (a) 1 (c) 4 3

87.

(b) 5 4 (d) 10 12 88.

100%, then its area is increased by: (a) 100% (b) 200% (c) 300% (d) 400% 2

12, 1 la[;kvksa eas lcls cM+h la[;k

(a) 1 (c) 4 3

88. If the diameter of a circle is increased by

What percent of

gS%

12, 1 is:

89.

(b) 5 4 (d) 10 12

;fn o`Ùk dk O;kl 100% c<+k fn;k tk;s rks o`Ùk dk {ks=Qy c<+rk gS% (a) 100% (c) 300%

89. 2

(a) 15% (b) 18% (c) 10% (d) None of these 90. A man sold two coat for Rs. 5000 each, gaining 30% on the one and lossing 30% on the other. Find his gain or loss per cent on the whole transaction? (a) 60% (b) 6% (c) 9% (d) None of these 91. If the selling price of an article is 5/6 of its

(b) 200% (d) 400%

fdrus izfr”kr gksxk\

(a) 15% (c) 10% 90.

,d O;fDr us nks dksV [kjhns ftleas izR;sd dk ewY; 5000 #i;s gS] ftleas igys dkslZ 30% ykHk rFkk nwljs eas 30% dh gkfu gqbZA bl iwjs ysu&nsu eas mldk ykHk izfr'kr vFkok gkfu izfr'kr Kkr dhft;s% (a) 60% (c) 9%

91.

cost price, then the gain per cent is: (a) 2 (b) 30% 16 % 3 (c) 1 (d) 1 32 % 7 % 3 2 92. An aeroplane travels distance 2500 km, 1200 km and 500 km at the rate of 500 km/hr, 400 km/hr and 250 km/hr respectively. The average speed of the plane is: (a) 420 km/hr (b) 410 km/hr (c) 405 km/hr (d) 575 km/hr

92.

93. 3 years ago, the average age of a family of 5

93.

(b) 6% (d) bueas ls dksbZ ugha

;fn oLrq dk foØ; ewY;] Ø; ewY; dk 5@6 gS rks mldk ykHk izfr'kr gS% (a)

2 16 % 3 (c) 1 32 % 3

members was 17 years. A baby having been born, the average age of the family is same today. What is the present age of the baby? (a) 1 years (b) 2 years (c) 3 years (d) 6 years

(b) 18% (d) buesa ls dksbZ ugha

(b) 30% (d)

1 7 % 2

,d gokbZ tgkt 2500 fdeh-] 1200 fdeh vkSj 500 fdeh-] 500 fdeh-@?k.Vs] 400 fdeh-@?k.Vk vkSj 250 fdeh-@?k.Vk dh nj ls r; djrk gS tgkt dh vkSlr pky Kkr dhft;s% (a) 420 fdeh-@?k.Vk (b) 410 fdeh-@?k.Vk (c) 405 fdeh-@?k.Vk (d) 575 fdeh-@?k.Vk 3 lky igys] fdlh ifjokj ds 5 lnL;ksa dh vkSlr vk;q 17 FkhA ,d cPps ds tUe ds ckn ifjokj dh vkSlr vk;q vkt iwoZor~ gSA cPps dh izfr'kr vk;q fdruh gS\ (a) 1 o"kZ (b) 2 o"kZ (c) 3 o"kZ (d) 6 o"kZ

94. 198, 194, 185, 169, ?

(a) 92 (b) 112 (c) 136 (d) 144 95. 66, 36, 18, ? (a) 3 (b) 6 (c) 8 (d) 9 96. FIELD : GJFME :: SICKLE : ? (a) RHBJKD (b) RHJBKD (c) TJLDMF (d) TJDLMF 97. ACEG : ? :: BDFH : KMOQ (a) NLPR (b) LMNO (c) JLNP (d) JNLO

98. Choose the word which is different from the rest:

98.

ml 'kCn dk p;u dhft, tks vU; ls fHkUu gS% (a) dkj (b) LdwVj (c) gsyhdkWIVj (d) lkbZfdy ml 'kCn dk p;u dhft, tks vU; ls fHkUu gS% (a) 'ksj (b) phrk (c) ykseM+h (d) fgj.k

(a) Car (b) Scooter (c) Helicopter (d) Cycle 99. Choose the word which is different from the 99. rest. (a) Lion (b) Tiger (c) Fox (d) Deer 100. abca _ bcaab _ ca _ bbc _ a 100. abca _ bcaab _ ca _ bbc _ a (a) ccaa (b) bbaa (a) ccaa (b) bbaa (c) abac (d) abba (c) abac (d) abba SPACE FOR ROUGH WORK

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