Prac GCET Test - 1

8/13/2019 Prac GCET Test - 1

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IC: PTpnsst27 (1) of (14)

DIRECTIONS: For the following question, four options are given. Choose the correct option.

1. How many five digit multiples of 11 can be formed using the digits 3, 4, 5, 6 and 7.(1) 10 (2) 12 (3) 15 (4) 18

2. A pedestrian and a cyclist left point A for point B at the same time. Having reached point B, the cyclist turned back and met thepedestrian an hour after the start. After their meeting, the pedestrian continued his trip to B and the cyclist turned back and

also headed for B. Having reached B, the cyclist turned back again and met the pedestrian 40 minutes after their first meeting.The time it takes the pedestrian to cover the distance between A and B is(1) 2.5 hrs (2) 2 hrs (3) 3 hrs (4) 4 hrs

3. What least value must be given to 'n' so that the number 6135n2 becomes divisible by 9? (Q. code 120527003)(1) 0 (2) 1 (3) 2 (4) 3

4. Mohan's salary was increased by 30% and then decreased by 30%. Find the overall impact on the salary of Mohan. (Q. code 120527004)

(1) decr ease, 12% (2) incr ease, 9% (3) decre ase, 9% (4) No chan ge

5. Divide Rs.3903 between A and B, so that As share at the end of 7 years may equal Bs share at the end of 9 yrs, compound

interest being at 4%. What will be Bs share? (Q. code 120527005)(1) 1645 (2) 1875 (3) 1930 (4) 2250

6. A classroom has equal number of boys and girls. Eight girls left to play Kho-kho, leaving twice as many boys as girls in theclassroom. What was the total number of girls and boys present initially? (Q. code 120527006)(1) Cannot be determined (2) 16 (3) 24 (4) 32

7. A path all around the inside of a rectangular park 37 m by 30 m occupies 570 sq.m. Find the width of the path. (Q. code 120527007)

(1) 5 m (2) 7 m (3) 9 m (4) 21 m

8. What annual payment will discharge a debt of Rs.770 due in 5 years, the rate of interest being 5% per annum? (Q. code 120527008)(1) Rs. 220 (2) Rs. 140 (3) Rs. 380 (4) Rs. 120

9. An intelligence agency decides on a code of 2 digits selected from 0, 1, 2 ...,9. But the slip on which the code is hand-writtenallows confusion between top and bottom, because these are indistinguishable. Thus, for example, the code 91 could beconfused with 16. How many codes are there such that there is no possibility of any confusion? (Q. code 120527009)(1) 25 (2) 75 (3) 80 (4) 90

10. If x varies directly as 3y + 1 and x = 9 when y = 1, what is the value of x when y = 5?

(Q. code 120527010)(1) 11 (2) 10 (3) 20 (4) 36

11. In the given figure, DE || BC. If ADDB

=35

and AE = 6 cm, then the measure of AC is (Q. code 120527011)

(1) 10 cm (2) 6 cm

A

B

D E

C

(3) 16 cm (4) None of thes e

12. What annual instalment will discharge a debt of Rs.1092 due in 3 years at 12% simple interest? (Q. code 120527012)(1) Rs. 400 (2) Rs. 150 (3) Rs. 225 (4) Rs. 325

13. If log x = log 5 + 2 log 3 log 25, then find the value of x. (Q. code 120527013)

(1) 9 (2) 11 (3) 7 (4) 5


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IC: PTpnsst27(2) of (14)

14. A number when divided by 899 gives a remainder 62. What remainder will be obtained by dividing the same number by 31?

(Q. code 120527014)(1) 0 (2) 7 (3) 11 (4) 13

15. A, B and C can do a work in 16 days, 1245

days and 32 days respectively. They started the work together but after 4 days A

left. B left the work 3 days before the completion of the work. In how many days was the work completed? (Q. code 120527015)(1) 9 (2) 12 (3) 15 (4) 6

DIRECTIONS: Read the following passage and answer the questions that follow.

The woman has, in many cultures in Asia, Africa and Europe, brought money, goods and estate to her husband when she got married.The original idea was to ensure that she got a decent treatment from her husband the money was to help him look after her and setup their home. Another justification for the transfer of money was that if the husband were to die or go away, she would be able tosupport herself. In Europe, it was often a method of uniting great families and even kingdoms into powerful alliances which becamewealthier. South Asia continued this tradition even though it had more or less disappeared in the 19 th century. However, the systemwas corrupted when the men and their families began to use it as an excuse to harass the wife making excessive demands on herand her family to bring more wealth. It is now recognized as a social evil because of the enormous strain it places on the womansfamily.

16. In which of these cultures is the practice of Dowry prevalent? (Q. code 120527016)(1) Australia, Europe and Asia (2) Europe, Asia and South America

(3) Africa, Asia and Europe (4) Europe, North America and Asia

17. The original purpose of the dowry system was to (Q. code 120527017)(1) Ensure that the woman would be able to set up her home and look after herself in case of her husbands death.(2) Ensure that she would be able to enrich the family that she married into and pass on her dowry to her daughter.

(3) Ensure that the man was forced to take good care of his wife and hand over the money to their son when he married.(4) Ensure that the woman would be able to live well on the money and then go back to her parents for more.

18. In its original form dowry helped women be (Q. code 120527018)

(1) Rich and dependent on their husbands.(2) Independent and able to support themselves.

(3) Rich enough to marry again if their husbands died.(4) Rich enough to command the respect of their family.

19. In Europe dowry helped (Q. code 120527019)(1) families break up and become richer units .

(2) families break up and become poor.(3) families unite and develop wealthy alliances.(4) families unite and share their joys and sorrows.

20. The dowry system is considered a .... . today. (Q. code 120527020)(1) social evil (2) socia l welfar e (3) social good (4) social shame


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DIRECTIONS: Read the following passage and answer the questions that follow.

This has been suspected all along and often denied, but scientific confirmation is now available. Looks do matter. Good-looking peopleare better off than the others, get priority in workplaces and make more money. A study by researchers at London's GuildhallUniversity shows that men regarded as unattractive earn 15 per cent less than their better-looking colleagues while plain Janes make11 per cent less money than their pretty female work mates. It makes nonsense of the claims made by most people that they go bymerit alone, appearances do not matter and they treat everyone on par. The boss goes out of his way to demonstrate his impartialitybut there is a secret weakness in his heart for the beautiful woman with a soft and demure manner. The study also shows that tall men

earn 10 per cent more than their shorter counterparts. Tall men enjoy an advantage everywhere. Girls always prefer a tall date toa short one, and now it is confirmed that they are richer than short men as well. "Now tall Agrippa lived close by, / So tall he almosttouched the sky ..." Such lines, in addition to real-life experiences, give short men a complex, though some of them are hard nutswho give tall men a tough time in office. Little masters like Sunil Gavaskar and Sachin Tendulkar have given sleepless nights to the talland tough pace bowlers, though in cricket and elsewhere, height is always considered to be a plus factor. The study serves a purposeby exposing the duplicity practised by people while judging others. Parents, while choosing a bride for their son, pretend that it is thebackground and nature of the girl that alone matters, but always tend to prefer the better-looking girl to the one who is perhaps alittle dark or has a short nose. The weakness is, however, human. Bankim Chandra Chatterjee had said, " Sundar mukher joysarbatra " (The pretty face is a winner everywhere). Ideal lovers are always good-looking. Krishna and Radha, Romeo and Juliet,Laila and Majnu simply cannot afford to be otherwise. Could Romeo have waxed so eloquent had Juliet not been beautiful? Did theirphysical charms not reinforce the poignance of t he tragedies of president Kennedy and princess Diana? "Such a one do I remember,whom to look at was to love", wrote Tennyson. The person had to be a looker to have evoked such emotions. However, the factremains that the boss does have a soft corner for the pretty female subordinate, as the study reveals. The pity is he is never goingto admit it.

21. According to the passage what has been suspected all along, whose confirmation is available now? (Q. code 120527021)

(1) Cannot be determined (2) Beautif ul women get promoted faster(3) Looks do matter (4) Good looks ensu re better growt h in life

22. Who carried out the research at the London's Guildhall University? (Q. code 120527022)(1) Cannot be determined

(2) Two Britis h research ers(3) One American lady and her British husband(4) Two Indian social workers

23. The term "Plain Janes" as referred to in the passage means (Q. code 120527023)(1) Plain Jane the famous Hollywood movie star

(2) Janes who frequently travel by planes(3) Ordinary looking members of fair sex

(4) Working women with the word Jane in their name

24. How much less do the not-so-attractive men earn? (Q. code 120527024)(1) Cannot be determined (2) 50% (3) 15% (4) 30%


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DIRECTIONS: The following table shows the monthly expenditure of living in two cities Delhi and Bombay on food, security,education, fuel, sanitation and miscellaneous (in percentage). Study the table carefully and answer the following question.

Delhi Bombay

Food 30 40

Security 15 20

Education 20 15Fuel 10 10

Sanitation 15 10

Miscellaneous 10 5

25. What fraction of the total expenditure is spent on education in Delhi? (Q. code 120527025)

(1) 13/20 (2) 2/3 (3) 9/13 (4) 1/5

26. If the total monthly expenditure to live in Bombay is Rs.10,000, then money spent on security is (Q. code 120527026)

(1) Rs.200 (2) Rs.600 (3) Rs.2 000 (4) Rs.6 000

27. If the total annual expenditure to live in Delhi is Rs.30,000, then money spent on food, security and sanitation is (Q. code120527027)(1) Rs.1 8500 (2) Rs.1 8000 (3) Rs.2 1000 (4) Rs.1 5000

28. If the total expenditure to live in both the cities are same, then expenditure on education and miscellaneous together will bemore in (Q. code 120527028)(1) Delhi (2) Bombay(3) equal amounts in both the cities (4) Can't be determined

DIRECTIONS: Refer to the following line graph to answer the questions that follow.

Performance of ABC Ltd. in different zones in 1990

0

1020304050

60708090

100

North South East West

Zones

P r o

f i t

( i n

R s

. c r o r e

)

Sales Expenses Profit

29. Total profit for all the four zones as a percentage of total sales (for all the four) during 1990 is (approx.) (Q. code 120527029)(1) 10% (2) 21% (3) 35% (4) 15%

30. In which zone is the incidence of taxation the highest? Given that taxation = sales (expenses + profit) (Q. code 120527030)(1) North (2) South (3) Eas t (4) West

31. Sales in West forms what percentage of All India sales? (All India comprises these four zones) (Q. code 120527031)(1) 10% (2) 12.5% (3) 14% (4) 22%


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DIRECTIONS: Refer to the table below and answer the question that follow.

YEAR EXPORTS (in crore) IMPORTS (in crore)

1995-1996 7 10

1996-1997 7.5 9

1997-1998 8.5 9

1998-1999 8 10

1999-2000 9.5 12

2000-2001 4 6

32. What is the average of import during the year 1995 to 2001? (Q. code 120527083)(1) 8 (2) 9.3 (3) 10 .2 (4) 7.5

33. In which of the following given year the difference between import and export is maximum?

(Q. code 120527084)

(1) 1996-9 7 (2) 1997-9 8 (3) 1998-9 9 (4) 1999-200 0

34. The percentage change in the import of 1999-2000 year is? (Q. code 120527085)(1) 22% (2) 25% (3) 28% (4) 20%

35. What is the total export of 1995 to 2001? (Q. code 120527086)(1) 40. 3 (2) 44. 5 (3) 35. 5 (4) 45

DIRECTIONS: Study the graph carefully and answer the question given below it.

The figure shows the Sales(S), Expenses(E) and the Equity Base (EB) of a company XYZ Ltd. over different years in Rs. Crore.Here we define

I . Profit = Sales ExpensesII Share holderss Return = profit / Equity BaseIII Profitability = Profit / Sales

35

40

35

25

30 30

25

1515 15

10 10

0

5

1015

20

25

30

35

40

45

1994 1993 1992 1991

( R

s .

C r o r e s

)

Sales Expenses Equity Base

36. Minimum profitability is observed during which year? (Q. code 120527087)

(1) 1991 (2) 1992 (3) 1993 (4) 1994


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37. Total profit over the period shown is (Rs Crore) (Q. code 120527088)

(1) 30 (2) 45 (3) 35 (4) 25

38. Expenses over the entire period as a percentage of sales for the same period is (Q. code 120527089)(1) 68 (2) 74 (3) 60 (4) 80

39. Maximum profitability is attained during which year? (Q. code 120527090)

(1) 1992 (2) 1991 (3) 1993 (4) 1994

40. Minimum shareholders return observed during which year? (Q. code 120527091)(1) 1994 (2) 1991 (3) 1993 (4) 1992

41. Minimum difference between sales and equity base is observed in which of the following year? (Q. code 120527092)(1) 1992 (2) 1994 (3) 1991 (4) 1993


42. A, B, C, and D play a game of cards. A says to B. If I give you 8 cards, you will have as many as C has and I shall have 3 lessthan what C has. Also if I take 6 cards from C, I shall have twice as many as D has. If B and D together have 50 cards, how manycards has A got? (Q. code 120527093)(1) 23 (2) 27 (3) 37 (4) 40

43. When Ramesh was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. IfRameshs brother is 6 years older than Ramesh and his mother is 3 years younger than his father, how old was Rameshs sisterwhen he was born? (Q. code 120527094)(1) 7 years (2) 10 years (3) 14 years (4) 19 years

44. A group of men decided to do a work in 10 days, but five of them became absent. If the rest of t he group did the work in 12days, find the original number of men. (Q. code 120527044)(1) 30 (2) 22 (3) 15 (4) 20

45. Two numbers x and y (x > y) are such that their s um is equal to three times their difference. Then the value of3

22 2

xy

x y -

d iis

(Q. code 120527045)(1) 2/3 (2) 1 (3) 3/2 (4) 4/3

46. In the following sum, "X" stands for which digit? X + 1X + 2X + X3 + X1 = 21X (Q. code 120527046)

(1) 4 (2) 6 (3) 8 (4) 9

47. If xy

=34

, then the value of67

+-

+

FHG

IKJ

y xy x

is (Q. code 120527047)

(1) 5/7 (2) 1 (3) 8/7 (4) 2

48. Four of the five given equations are equal. Find the equation which is not equal to others. (Q. code 120527048)

(1) x (x + 5) + 2(3x + 2) (2) (x + 2) 2 + 7x(3) (x + 3) (x 2) + 10 (x + 1) (4) (x 2) 3 (x 3) 3 2 (x 2 13x + 8)

49. What should come in place of X? 1347

549

145

21 + - =X (Q. code 120527049)

(1) 41121

(2) 31321

(3) 41319

(4) None of thes e

50. If 2x + 7 = x 2 1N

= 4x 3, what is the value of N? (Q. code 120527050)

(1) 5 (2) 1/5 (3) 8 (4) 1/8


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51. What approximate value will come in place of X in the following equation? (Q. code 120527051)

164.36 51.4 + 21% of 847 + X = 9870(1) 1700 (2) 1550 (3) 1600 (4) None of thes e

52. What approximate value will come in place of X in the following equation? (Q. code 120527052)87.416 + 35.912 7.2 + X = 648

(1) 300 (2) 310 (3) 320 (4) 325

53. If a sum, at simple interest doubles in 6 years, in how many years will it be four times? (Q. code 120527053)

(1) 10 years (2) 12 years (3) 8 years (4) 18 years

DIRECTIONS: Select the option that best represents the meaning of the sentence..

54. Tendency to fight is called: (Q. code 120527054)

(1) Mentor (2) Pugna city (3) Pala ver (4) Sojourn

55. One who copies from other writers is called: (Q. code 120527055)(1) Plagiarist (2) Gullible (3) Pristine (4) None of thes e

56. Hater of women is called: (Q. code 120527056)

(1) Misochist (2) Misogamist (3) Misogynist (4) Misanthropist

57. He has.......sense of words. therefore, the sentences he constructs are always ..... . with rich meaning (Q. code 120527057)(1) unneces sary, disgus t (2) meaningful, full (3) profou nd, pregnan t (4) ter rific , tempted

58. I am not easily ..... by pressures that would interfere with accomplishing the goals of my unit. I stick with my ..... .. . (Q. code 120527058)(1) pessimistic, views (2) swayed, convictions

(3) discou raged, achievement s (4) empowered, organiz ation

59. After almost three years, Mumbais very own global ..... dancer Astad Deboo makes a ..... in the city. (Q. code 120527059)(1) regula r, attem pt (2) class ical, revival(3) cont emporary, perfor mance (4) contemporary, comeback

60. A closer look reveals a delightful country ..... in eternal calm and ..... . (Q. code 120527060)(1) seated, poise (2) nestled, tranquillity (3) settled, place (4) poised, noise

DIRECTIONS: The following question is based on VERBAL ANALOGIES. For each question, select the alternative that exhibits aSIMILAR relationship as shown by the QUESTION PAIR.

61. NOTE : SCALE (Q. code 120527061)

(1) Letter : alphab et (2) Word : poem(3) Drop : water (4) Hue : palette

62. FLORIST : BOUQUET (Q. code 120527062)(1) Paint er : easel (2) Haberda sher : wardr obe

(3) Chef : dinner (4) Garden er : bed

63. ADULTERER : FIDELITY (Q. code 120527063)

(1) Musician : harmony (2) Opponen t : enmity(3) Thief : imprisonment (4) Traitor : allegiance


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DIRECTIONS: Choose the option that expresses the meaning of the idiom/phrase given in bold.

64. Ravi was in a brown stud y and did not seem to catch my point. (Q. code 120527064)(1) in his study room (2) abs orbed in reading (3) abs ent-minded (4) in a sta te ofsh ock

65. I am sure they will fight tooth and nail for their right. (Q. code 120527065)

(1) with all their rights (2) with all their might (3) with out any weapon (4) very cowar dly

66. He was in high spirits when I met him in the restaurant. (Q. code 120527066)

(1) in a drunken state (2) was very cheerful (3) talked incoherently (4) was unhappy

DIRECTIONS: For each question, select the word which is closest in meaning to the given sentence.

67. The policy of extending a country's empire and influence (Q. code 120527067)

(1) communism (2) capitalism(3) internationalism (4) imperialism.

68. Rainfall at irregular intervals or occasionally (Q. code 120527068)

(1) irregular (2) sporadic (3) inad verten t (4) tempora ry

DIRECTIONS : Select the word which is closest in meaning to the given CAPITALIZED word.

69. PRODIGIOUS (Q. code 120527069)(1) intelligent (2) abysmal (3) accur ate (4) exces si ve

70. FOIBLE (Q. code 120527070)(1) ta le (2) fault (3) incapabilit y (4) illusion

DIRECTIONS: Following question has five statements labelled A, B, C, D and E. The logical sequence in which they should bearranged to make a coherent paragraph.

71. A . It is easy to ridicule a hippie who is willing to suffer 700 stitches in an effort to test and find himself.B. The importance of this cannot be overstated.

C . For we are all deeply influenced, our identities are shaped, by the sub-cults with which we choose, unconsciously or not,to identity ourselves.

D. And the more difficult the choices, the more difficult the quest.E. Yet we are all hippies in one sense: we too search for identity by attaching ourselves to informal cults, tribes or groups of

various kinds. (Q. code 120527071)(1) BCDAE (2) ABCDE (3) EADBC (4) BCAED

72. A . Intellectuals in the USA have lambasted television, in particular, for standardising speech, habits and tastes.B. Of all the forces accused of homogenising the modern mind, few have been so continuously and bitterly criticised as the

mass media.C. They have pictured it as a vast lawn-roller flattening out our regional differences and crushing the last vestiges of cultural variety.D. While there is truth in some of these charges, they overlook critically important counter trends that generate diversity.E. A thriving academic industry has levelled similar charges against magazines and movies. (Q. code 120527072)

(1) BACED (2) CEDAB (3) ADBEC (4) CABDE

73. A . Click on any word on the web page and the smart cursor pulls up a dictionary of definitions and encyclopedia entries orruns the term through a search engine.

B. The lowly cursor is getting a makeover.C . All these without the user having to leave the page.D. Comet links, which appear in pop-up windows, provide further information.E. Bored by the dull black arrow common on most computer screens, Comet systems first introduced Pikachu and Britney

Spears and is now adding a search engine to its range of customized cursors. (Q. code 120527073)(1) ABDCE (2) BDACE (3) BEACD (4) DBEAC


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DIRECTIONS: Following question has a pair of words followed by four options. Choose the pair that exhibits a relationship similar tothat exhibited by the CAPITALIZED pair.

74. RELIEF : RELAXED :: (Q. code 120527074)(1) pericent ric : apogee (2) peripheric : osseous (3) peripat etic : itiner ant (4) paraba sis : pharis aical

75. CONSCRIPT : DRAFT :: (Q. code 120527075)

(1) monody : dirge (2) monad : scad (3) malf easance : anomaly (4) phi lter : acquir e

76. CEREBRAL : INTELLECTUAL :: (Q. code 120527076)(1) encomium : critique (2) sophomoric : erudite (3) hosanna : hymn (4) multitudinous: vicissitudinous

77. EPITAPH : INSCR IPTION:: (Q. code 120527077)(1) genesis : restoration (2) obverse : divert(3) punctilious : conscientious (4) epiphora : diaspo ra

DIRECTIONS: Following problem has a question and two statements which are labelled (A) and (B). Use the data given in (A) and (B)to decide whether the statements are sufficient to answer the question. Then mark answer as

(1) if you can get the answer from any one of the statements

(2) if you can get the answer from either of the statements(3) if you can get the answer from (A) and (B) together, although neither statement by itself suffices;(4) if you cannot get the answer from statements (A) and (B) together, but need even more data.

78. Is the perimeter of D AB C > 10? (Q. code 120527078)(A) AB > BC > AC (B) AB = 5

79. Can the score in Maths go above 65%? (Q. code 120527079)(A) 25% of the questions were easy and 30% were impossible to solve in the paper.(B) There are 10% mistakes in the easy section.

80. Is QRP > QPR in the right triangle PQR? (Q. code 120527080)(A) Q = 90 o (B) QP/Q R = 4/3


81. Which air conditioning company has the slogan 'Inspire the next '?(1) Hitachi (2) LG (3) Blue star (4) Car rier

82. The gas used for artificial ripening of green fruits is

(1) Carbo n dioxide (2) Ethan e (3) Ethylene (4) Butane

83. The currency of Netherland is

(1) Peso (2) Pes at a (3) Rupiah (4) Euro

84. OPEC stands for

(1) Oil Producing European Countries (2) Organization of Petroleum Exporting Countries(3) Oil and Petroleum Exploring Countries (4) O rganiza tion of Pacific Explorin g Count ries

85. Who founded the Indian National Congress? (1) W.C. Banerjee (2) A.O. Hume (3)Sardar Patel (4) Subhash Chadra Bose

86. Which of the following travels the fastest in air

(1) Sound (2) Light (3) Rocket (4) Aeropl ane


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87. What is the name of the UK-based Tea company acquired by Tata Tea?

(1) Brooke Bond (2) Gemini (3) Tetley (4) Lipton

88. In Mutual Fund terminology, what is a SIP?

(1) Systemat ic Investment Plan (2) Simple Investment Plan(3) Star t Inves tment Plan (4) Serial Investment Plan

89. Oliver Twist was written by(1) E.M . Fors ter (2) Nathaniel Hawtho rne

(3) Charles Dickens (4) Victor Hugo

90. Operation Flood is associated with the production of

(1) Oils eed (2) Pulses (3) Dairy & milk (4) Mineral water & salt

91. Dialysis is used to correct the functioning of

(1) Liver (2) Lungs (3) Gal Bladder (4) Kidn eys

92. Which of the following is the nearest planet to the Sun in the solar system?

(1) Saturn (2) Earth (3) Mercur y (4) Mars

93. Which brand has the slogan - Utterly Butterly Delicious' ?(1) Sanchi (2) Parle (3) Amul (4) Brita nnia

94. Which of the following depletes the ozone layer?(1) Car bon dioxide (2) CF C (3) Oxyg en (4) Nitrogen dioxide

95 . 'Kathakali ' is the classical dance of(1) Tamil Nadu (2) Karn ataka (3) Kerala (4) Andhr a Prades h

96. The headquarters of the Asian Development Bank is located at(1) Bankok (2) Manila (3) Sing apore (4) Hongkong

97. G-77 stands for a group of 77(1) Cap italist countr ies (2) Developing countries (3) A dvanced count ries (4) Socialist countri es

98. The completly ionised state of matter is known as

(1) Plasma (2) Solid (3) Liquid (4) Gas

99. Whose autobiography is named as 'Made In America'?

(1) Akio Morita (2) Sam Walton (3) Dan Brown (4) Agat ha Chr ist e

100. Euro Cup is related to(1) Badminton (2) Hockey (3) Football (4) Polo


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81. The harmonic mean of two number is 4. The arithmetic mean A and geometric mean G of these two numbers satisfy the equation2A + G2 = 27. The two numbers are: (Q. code 120527171)(1) 3, 6 (2) 4, 5 (3) 2, 7 (4) None of thes e

82. If f(x) = (cos x + i sin x) (cos 3x + i sin 3x) ... (cos (2n 1)x + i sin (2n 1)x), then f"(x) is equal to: (Q. code 120527172)(1) n 2f(x) (2) n 4 f(x) (3) n 2 f(x) (4) n 4 f(x)

83. If the system of equationsx + 2y + 3z = l x

3x + y + 2z = l y2x + 3y + z = l z, has non-zero solution then the value of l is : (Q. code 120527173)

(1) 0 (2) 1 (3) 3 (4) 6

84. lim( )( ) ( ) /

n

nn n n

n

+ + - - -1 2 2 1

is equal to: (Q. code 120527174)

(1)12

(2) log 4 (3)4e

(4) 4e

85. If [x] stands for greatest integer function, then [ ]x dx3

0

11

z is equal to: (Q. code 120527175)(1) 4356 (2) 3025 (3) 6125 (4) None of thes e

86. How many different prime numbers are factors of N if log 2(log 3(log 5(log 7N))) = 11? (Q. code 120527176)(1) 1 (2) 11 (3) 17 (4) 210

87. If 2 1998 2 1997 2 1996 + 2 1995 = K. 2 1995 , what is the value of k? (Q. code 120527177)(1) 1 (2) 2 (3) 3 (4) 4

88. The smallest positive root of the equation tanx x = 0 lies in (Q. code 120527178)

(1) 0 2,

p FHG

IKJ (2)

pp

,32

FHG

IKJ (3)

pp

2, FHG

IKJ (4) None of thes e

89. The modulus of11

+

+

FHG

IKJ

coscos sin

q + q

q q

isin i

n, where n is a positive integer and q (2k+1) p (Q. code 120527179)

(1) 1 (2) n (3)n

2(4) n 2

90.sin

( )

1

/

/ x

xdx

1 2 3 20

1 2 z is equal to: (Q. code 120527180)

(1) p

42 + log (2)

p

42 log (3)

p

42 1 log + (4) none of these.

91. A man pointing to a photograph says, The lady in the photograph is my nephews maternal grandmother. How is the lady in thephotograph related to his sister who has no other sister? (Q. code 120527095)(1) Mother (2) Mother-in-law (3) Cousin (4) Sister-in-law


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DIRECTIONS: From a group of six boys M, N, O, P, Q, R and five girls G, H, I, J, K, a team of six is to be selected. Some of the criteriaof selection are as follows.

M and J go together, O cannot be placed with N, I cannot go with J, N goes with H, P and Q have to be together,K and R go together. Unless otherwise started, these criteria are applicable to all the following questions

92. If the team consists of two girls and I is one of them, the other members are (Q. code 120527096)

(1) H N O P Q (2) K O P Q R (3) K R M N P (4) G M R P Q

93. If both K and P are members of the team and three boys in all are included in the team, the members of the team other than Kand P are (Q. code 120527097)(1) G J R M (2) H I R Q (3) G I R Q (4) I J R Q

94. If the team has four boys including O and R, the members of the team other than O and R are (Q. code 120527098)(1) G J M P (2) G J P Q (3) H I P Q (4) G K P Q

DIRECTIONS: Answer the fol lowing quest ions bas ed on the let ter number seq uence given below

B 3 K G 5 P D 7 9 E R J 1 M T 6 Z H Q 8 W 2 A

95. Which of the following is exactly in the middle between the ninth letter/number from the left end and seventh letter/numberfrom the right end? (Q. code 120527099)(1) 1 (2) M (3) J (4) R

96. Which of the following is in the seventh position to the right of the eighteenth position from the right end? (Q. code 120527100)(1) J (2) 1 (3) M (4) K

97. Four of the following five are alike in a certain way with regard to their positions in the above sequence. Which is the one thatdoes not belong to the other four? (Q. code 120527101)(1) 3GD (2) 1R7 (3) M6Q (4) 6HW


98. In a row of boys, Ganesh is twelfth from the left and Rajan in fifteenth from the right. When they inter change their positions,Rajan becomes twentieth from the right. How many boys are there in the row? (Q. code 120527102)

(1) 30 (2) 29 (3) 32 (4) 31

99. If the alternate letters in the following alphabet start ing from A are written in small and the rest in CAPITALS, which of thefollowing will represent the third month after July? (Q. code 120527103)

A B C D E F G H I J K L M

N O P Q R S T U V W X Y Z

(1) OCt ObEr (2) ocToBeR (3) OCTOBER (4) oCtO bEr

100. The positions of the first and the sixth letters in th e word DISTRIBUTE are interchanged. Similarly, the positions of the s econdand the seventh, the third and the eighth letter and so one are interchanged. Which of the following letters will be the fifth fromthe left after interchanging the positions as directed? (Q. code 120527104)

(1) I (2) E (3) S (4) T


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101. The harmonic mean of two number is 4. The arithmetic mean A and geometric mean G of these two numbers satisfy the equation2A + G 2 = 27. The two numbers are: (Q. code 120527171)(1) 3, 6 (2) 4, 5 (3) 2, 7 (4) None of thes e

102. If f(x) = (cos x + i sin x) (cos 3x + i sin 3x) ... (cos (2n 1)x + i sin (2n 1)x), then f"(x) is equal to: (Q. code 120527172)(1) n 2f(x) (2) n 4 f(x) (3) n 2 f(x) (4) n 4 f(x)

103. If the system of equationsx + 2y + 3z = l x

3x + y + 2z = l y2x + 3y + z = l z, has non-zero solution then the value of l is : (Q. code 120527173)

(1) 0 (2) 1 (3) 3 (4) 6

104. lim( )( ) ( ) /

n

nn n n

n

+ + - - -1 2 2 1

is equal to: (Q. code 120527174)

(1)12

(2) log 4 (3)4e

(4) 4e

105. If [x] stands for greatest integer function, then [ ]x dx3

0

11

z is equal to: (Q. code 120527175)(1) 4356 (2) 3025 (3) 6125 (4) None of thes e

106. How many different prime numbers are factors of N if log 2(log 3(log 5(log 7N))) = 11? (Q. code 120527176)(1) 1 (2) 11 (3) 17 (4) 210

107. If 2 1998 2 1997 2 1996 + 2 1995 = K. 2 1995 , what is the value of k? (Q. code 120527177)(1) 1 (2) 2 (3) 3 (4) 4

108. The smallest positive root of the equation tanx x = 0 lies in (Q. code 120527178)

(1) 0 2,

p FHG

IKJ (2)

pp

,32

FHG

IKJ (3)

pp

2, FHG

IKJ (4) None of thes e

109. The modulus of11

+

+

FHG

IKJ

coscos sin

q + q

q q

isin i

n, where n is a positive integer and q (2k+1) p (Q. code 120527179)

(1) 1 (2) n (3)n

2(4) n 2

110.sin

( )

1

/

/ x

xdx

1 2 3 20

1 2 z is equal to: (Q. code 120527180)

(1) p

42 + log (2)

p

42 log (3)

p

42 1 log + (4) none of these.

111. A man pointing to a photograph says, The lady in the photograph is my nephews maternal grandmother. How is the lady in thephotograph related to his sister who has no other sister? (Q. code 120527095)(1) Mother (2) Mother-in-law (3) Cousin (4) Sister-in-law


14/14


DIRECTIONS: From a group of six boys M, N, O, P, Q, R and five girls G, H, I, J, K, a team of six is to be selected. Some of the criteriaof selection are as follows.

M and J go together, O cannot be placed with N, I cannot go with J, N goes with H, P and Q have to be together,K and R go together. Unless otherwise started, these criteria are applicable to all the following questions

112. If the team consists of two girls and I is one of them, the other members are (Q. code 120527096)

(1) H N O P Q (2) K O P Q R (3) K R M N P (4) G M R P Q

113. If both K and P are members of the team and three boys in all are included in the team, the members of the team other than Kand P are (Q. code 120527097)(1) G J R M (2) H I R Q (3) G I R Q (4) I J R Q

114. If the team has four boys including O and R, the members of the team other than O and R are (Q. code 120527098)(1) G J M P (2) G J P Q (3) H I P Q (4) G K P Q

DIRECTIONS FOR Q. 99 TO Q. 101: Answer the fol lowing quest ion s bas ed on the lett er number seq uen ce giv en belo w

B 3 K G 5 P D 7 9 E R J 1 M T 6 Z H Q 8 W 2 A

115. Which of the following is exactly in the middle between the ninth letter/number from the left end and seventh letter/numberfrom the right end? (Q. code 120527099)(1) 1 (2) M (3) J (4) R

116 . Which of the following is in the seventh position to the right of the eighteenth position from the right end? (Q. code 120527100)(1) J (2) 1 (3) M (4) K

117. Four of the following five are alike in a certain way with regard to their positions in the above sequence. Which is the one thatdoes not belong to the other four? (Q. code 120527101)(1) 3GD (2) 1R7 (3) M6Q (4) 6HW


118. In a row of boys, Ganesh is twelfth from the left and Rajan in fifteenth from the right. When they inter change their positions,Rajan becomes twentieth from the right. How many boys are there in the row? (Q. code 120527102)

(1) 30 (2) 29 (3) 32 (4) 31

119. If the alternate letters in th e following alphabet starting from A are written in s mall and the rest in CAPITALS, which of thefollowing will represent the third month after July? (Q. code 120527103)

A B C D E F G H I J K L M

N O P Q R S T U V W X Y Z

(1) OCt ObEr (2) ocToBeR (3) OCTOBER (4) oCtO bEr

120. The positions of the first and the sixth letters in th e word DISTRIBUTE are interchanged. Similarly, the positions of the s econdand the seventh, the third and the eighth letter and so one are interchanged. Which of the following letters will be the fifth fromthe left after interchanging the positions as directed? (Q. code 120527104)

(1) I (2) E (3) S (4) T

Prac GCET Test - 1

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