mock cat 5 paper
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7/31/2019 Mock Cat 5 Paper
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C AT - 5
INSTRUCTIONS FOR THE TEST 1. The total time f or the test is 120 minutes. 2. This test is divided into thr ee par ts totally compr ising 126 questions. The marks f or the questions ar e
highlighted separ ately f or each section. 3. You may work on any par t of the test at any time dur ing the test. 4. For each question, f our suggested answer s ar e given of which only one is corr ect. Ther e ar e f our
cir cles against each question number in the answer sheet. Each cir cle is designated as 1, 2, 3, 4 corr esponding to your answer choices. Mark your r esponse to each question by dar kening the cir cle completely.
5. The last part of this test booklet compr ises a sample bubble sheet. It is suggested that you answer all questions by shading the r elevant oval in the bubble sheet.
6. Conf ine all r ough work to whatever blank space is available in this test booklet. No additional paper may be used.
7. Using a HB pencil only. Use of calculator s, scales and other measur ing instr uments is not per mitted. 8. You will be r equir ed to demonstr ate adequate competence on each of the thr ee parts. 9. Wr ong answer s carry negative marks. The negative mar king scheme is 1/3 of the marks allotted to
the question. Hence desist f r om guessing wildly.
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Section 1 Questions 35
1. The number of 5 digit positive integer s such that in each of them every digit is gr eater than the digit to its r ight? (1mar k) 1] 10C4 × 9C1 2] 10C5 3] 10C4 × 9C4 4] 10C5 × 5!
2. Two str ips of the same width 1m over lap at an angle of θ as shown. The ar ea of the over lap (shown shaded) (in m2) is _____ (2mar ks)
1] sin θ 2] 1 3] 14] 1
sin θ 1− cos θ (1− cos θ)2 Dir ections f or Questions 3 to 6: Answer the questions on the basis of the inf or mation given below. Let N0, N1, N2, N3, N4, N5, N6, N7 be an (unknown) list of eight whole number s with the pr operty that N0 = the number of times 0 occur s in the list. N1 = the number of times 1 occur s in the list, And so on. Thus each Ni counts the number of times the number ‘i’ occur s in the list.
3. The N0 is ………..(1mar k) 1] 0 2] 1 3] 2 4] 4
4. How many of N4, N5, N6 and N7 can be non-zer o? (1mar k) 1] 0 2] 1 3] 2 4] 3
5.
How many
tim
es do
es 1
occur
? (1ma
r k)
1] 0 2] 1 3] 2 4] 3
6. Which of the f ollowing statements can be tr ue? (2mar ks) (i) N2 = N4 (iii) N3 = N4 = N5 = N6
(ii) N0 = N3 (iv) N3 = N5 = N6 = N7
1] 1 and 3 only 2] 2 and 4 only 3] 1 and 4 only 4] 2 and 3 only.
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Dir ections f or Questions 7 –20: Answer the questions independently of each other . 2
7. For all positive integer s n, let f (n) = log 2002 n Which of the f ollowing r elations is tr ue.? (1mar k)
. Let N = f (11) + f (13) + f (14) .
1] N = 1 2] 1 < N < 2 3] N = 2 4] N > 2
8. If log N M = log M N, M ≠ N, M, N ≠ 1, M N > 0, then MN = ………… ? (2mar ks) 1
1] 2 2] 1 3] 2 4] 10
9. In a f actory, ther e ar e thr ee shif ts of work on a day compr ising eight hour s each. Dur ing the thr ee shif ts, the aver age work eff iciency of worker s is 80%, 70% and 50% r espectively. A work is completed in 60 days by working in f ir st shif t only. If the work is done dur ing all the thr ee shif ts, then how many less days ar e r equir ed to complete the work? (1mar k) 1] 24 2] 36 3] 45 4] 15
a 1 10. For all integer s n gr eater than 1, def ine n = . Let b = a 2 + a3 + a 4 + a5 and
log 2002 n
c = a10 + a11 + a12 + a13 + a14 . Then b – c equals (2mar ks) 1] – 2 2] –1 3] 1 4] 1
2 11. The sides of a r hombus and a squar e ar e 5cm. But the ar ea of the squar e is twice that of the ar ea of
the r hombus. What is the r atio of the short diagonal to the long diagonal of the r hombus? (2mar ks) 1] 0.27 2] 1.27 3] 2.27 4] 3.27
12. If a two digit number is 8 times the sum of its digits then which of the f ollowing statements is tr ue? (1mar k) 1] The number f or med by r ever sing the digits is twice the sum of its digits. 2] The number f or med by r ever sing the digits is half the sum of its digits. 3] The number f or med by r ever sing the digits is thr ice the sum of its digits. 4] The number f or med by r ever sing the digits is one thir d the sum of its digits.
13. Solomon has a certain amount of money with him. If he distr ibutes it equally among 10 char ity or ganisations, he has 9 thousands lef t. If he distr ibutes among 9 char ity or ganisations, he has 8 thousands lef t. If he distr ibutes among 8 char ity or ganisations he has 7 thousands lef t and if he distr ibutes among 7 char ity or ganisations he has 6 thousands lef t. Which of the f ollowing could be the amount he has with him? (2mar ks) 1] Rs.5, 039,000 2] Rs.2, 039,000 3] Rs.30, 240, 000 4] none of these
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14. If a2 = b4 = c8 = d16, then logd2 (abc)1/3 = (1mar k) 1] 7/3 2] 15/16 3] 9/32 4] 32/7
15. Sr idhar and Amit can complete a work in 10 and 20 days r espectively. Sr idhar alone starts the work and works at the eff iciency of Amit and leaves af ter f our days. Amit works with Har i and completes the r emaining work in 12 days. In what r atio should Sr idhar , Amit and Har i shar e the wages? (2mar ks) 1] 2:3:3 2] 1:3:1 3] 2:3:10 4] 1:3:2
16. Two car s starts f r om the same point at the same time towar ds the same destination which is 420 km away. The f ir st car and the second car tr avel at r espective speeds of 60 kmph and 90 kmph. Af ter tr aveling f or some time, the speeds of the two car s get inter changed. Finally, the second car r eaches the destination one hour ear lier than the f ir st. Find the time af ter which the speeds get inter changed. (2mar ks) 1] 2 hour s 2] 4 hour s 3] 3 hour s 4] 5 hour s
17. How many 5-digit number s gr eater than 60,000 ar e possible involving the digits 6, 3, 0, 4 and 6 and using only the digits given? (1mar k) 1] 12 2] 48 3] 36 4] 24
18. Let C, A, T be distinct positive integer s such that the pr oduct C. A.T. = 2002. Then the lar gest possible value of the sum C + A + T is (1mar k) 1] 1004 2] 1003 3] 2004 4] 2003
19. One hundr ed and f orty students take an examination, which is marked out of 100 (with no f r actional marks). No thr ee students ar e awar ded the same mark. What is the minimum number of students who have not got unique mark? (1mar k) 1] 29 2] 30 3] 39 4] 40
1 3 1 3 a + 3 a −1 + a − 3 a −1 = (1mar k)20. If 0 < a < 2 and a is an integer , then ( ) ( )
1] 1 2] 2 3] 0 4] –1
Dir ections f or questions 21 and 22: Answer the questions on the basis of the f ollowing inf or mation given below: In National Public school, out of every f ive pupils lear ning Mar athi, two lear n Hindi as well; and f or every student lear ning at least one of these languages ther e ar e thr ee who lear n neither . Nineteen per cent of the school lear n Hindi.
21. What per cent of the students lear n Mar athi? (2mar ks) 1] 6 2] 10 3] 15 4] indeter minate
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22. What per cent of the students lear n neither of the languages? (1mar k) 1] 75 2] 71 3] 66 4] indeter minate
Dir ections f or questions 23 to 25: Answer the questions independent of each other .
23. f is a r eal f unction such that f (x + y) = f (xy) and f 2 2 −
(2mar ks) = - f or all x, y. Then f (3001) is 3 3
1] 3001 2] − 3001 3 3] 3001
3 4] - 2 3
24. A tr ain of length 600 m is leaving a platf or m at 15 kmph. Bef or e it completely lef t the platf or m, another tr ain of length 300 m coming in the opposite dir ection with a speed of 75 kmph starts cr ossing the f ir st tr ain. The second tr ain enter ed the platf or m completely, and simultaneously cr ossed the f ir st tr ain. If the length of the platf or m is 1,125 metr es, then what is the time taken by the second tr ain to cr oss the platf or m af ter it has cr ossed the f ir st tr ain? (2mar ks) 1] 48 seconds 2] 54 seconds 3] 60 seconds 4] 72 seconds
25. If x +1 + x +1 −
x −1 = 5 then what is the value of x? (1mar k)
x −1 1] 5 2] 13
5 3] 9 4 4] 13
4
Dir ections f or questions 26 and 27: Answer the questions on the basis of the f ollowing inf or mation given below: Ar un started and stopped a mock cat between 3pm and 4pm and 5pm and 6pm r espectively. He f ound that the hands of the watch inter changed their places.
26. Appr oximately how long was the test? (1mar k) 1] 1 hr 46 min 2] 1 hr 49 min 3] 1 hr 51 min 4] 1 hr 55 min
27. When did he start the test? (2mar ks) 1] 20 26 min past 3pm 2] 26 62 min past 3 pm
143 143 3] 29 62
min past 3 pm 4] 17 29 min past 3 pm.
143 143
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Dir ections f or questions 28 to 30: Answer the questions on the basis of the f ollowing inf or mation given below: In the f igur e given below, AB = c cm, BC = a cm, AC = b cm and s is def ined as the semi per imeter of ∆ ABC.
A
Z Y
B C X
Z1 Y1
Answer the f ollowing questions in ter ms of a, b, c and s. 28. What is the length AZ equal to? (2mar ks)
1] s – a 2] s – b 3] s – c 4] 2s
29. What is the length AZ1 equal to ? (1mar k) 1] s + a 2] s + b 3] s + c 4] s
30. What is the length BX equal to ? (1mar k) 1] s – a 2] s – b 3] s – c 4] a + b – s Dir ections f or questions 31 – 33: Answer the questions on the basis of the f ollowing inf or mation given below. In a bicycle r ace of 1040 meter s, Var un gave Smar an 120 meter s start but lost by 5 sec. If he had given Smar an a 5 seconds start he would have won by 40 meter s.
31. How long does Var un take to r ide the distance? (2mar ks) 1]
1min
30
sec
2] 1min
40
sec
3] 1min
50
sec
4] 2 minut
es
32. How long does Smar an take to r ide the distance? (1mar k) 1] 2min 10sec 2] 2min 3] 1min 50sec 4] 1min 40sec
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33. If they had started together then which of the f ollowing statements is tr ue? (1mar k) 1] Smar an would have won by 10 sec 2] It would have been a dead heat. 3] Var un would have won by 10 sec 4] Var un would have won by 1 sec.
Dir ections f or questions 34 and 35: Answer the questions independent of each other . 34. The diff er ent possibility of distr ibuting 3 black and 2 white balls in2 baskets ar e shown below
which of the f ollowing statements is tr ue? (2mar ks)
1] iv has maximum pr obability of picking a black ball 2] ii has maximum pr obability of picking a white ball 3] iii has minimum pr obability of picking a white ball 4] i has maximum pr obability of picking a black ball.
35. OCDE is a r ectangle inscr ibed in a quadr ant of a cir cle of r adius 10cm. If OE = 2 5 , then what is the ar ea of the r ectangle? (1mar k) 1] 20cm2 2] 20 2 cm2 3] 40cm2 4] 40 2 cm2
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Section 2 Questions 41
Dir ections f or questions 36 to 39: Mr . Rich, a f und manager , is analyzing per f or mance of shar es of thr ee companies X, Y and Z in thr ee situations: Recession, Nor mal gr owth and Boom. Pr obabilities of occurr ence of these situations ar e 0.25, 0.625 and 0.125 r espectively. Shar es can be pur chased only at issue pr ice and sold af ter r eceiving the dividend (on their f ace value) at their ending pr ice.
Company Situation Expected Dividend r ate Expected Ending
pr ice Expected Issue Pr ice
Company X Recession 2.5 65 100 Nor mal gr owth 10 210 175
Company Y Boom 7.5 160 120
Recession 0 5 65 Nor mal gr owth
10 145 260
Company Z Boom 18 350 130
Recession 0 20 80 Nor mal gr owth 10 175 145 Boom 3 145 100
Note: FV of all shar es is Rs. 100. Net r etur n per shar e of a company = Σ [Pr obability × (Dividend ± Pr of it/Loss on sale)], i.e. sum of [Pr obability × (Dividend ± Pr of it/Loss on sale) f or each situation]. Do not take pr obability f or calculating r etur ns under specif ically stated situations.
36. What is the net r etur n per shar e of Company Z? (2mar ks) 1] Rs. 48, gain 2] Rs. 16, gain 3] Rs. 4.5, Loss 4] Rs. 4.5, gain
37. For which company is the net r etur n per shar e the highest? (2mar ks) 1] X 2] Y 3] Z 4] Y or Z
38. If r ecession is f ollowed by Nor mal gr owth f ollowed by Boom and Mr . Rich invested in 1 shar e of any one company in each situation, what would be his minimum over all r etur n? (2mar ks) 1] Rs. 12.5, pr of it 2] Rs. 117.5, loss 3] Rs. 201.25, pr of it 4]Rs. 255, pr of it
39. In the above scenar io, if Mr . Rich invests Rs. 650000 each time in buying shar es of Y Company, then what would be his over all r etur n? (2mar ks) 1] Rs. 205000, loss 2] Rs. 395000 gain 3] Rs. 507000 gain 4] Rs. 322500 loss
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Dir ections f or questions 40 to 43: The f ollowing is a summary of f inancial data (in million $) of Company XYZ. The company’s f inancial year is f r om 1st
Apr il to 31st Mar ch. A quarter r ef er s to 3
months. Quar ter Ended Nine Months Ended Year ended
Par ticular s 31/3/03 31/3/04 31/3/03 31/3/04 31/3/03 31/3/04 Assets 540 670 1615 1935 2065 2535 Exter nal debt 290 350 925 1000 1175 1305
Tur nover 280 370 811 1085 1026 1380 Pr of it 45 54 75 160 40 195
Note: Pr opr ietor ’s f und = Assets – Exter nal debt Cost = Tur nover – Pr of it
40. What is the Asset: Tur nover r atio f or the f ir st quarter of 2002-2003? (2mar ks) 1] 36:13 2] 27:14 3] 90:43 4] Indeter minate
41. By what % have the pr of its incr eased f r om f ir st quarter of 2002-03 to last quarter of 2003-04? (2mar ks) 1] 54% 2] 254% 3] 200% 4] Indeter minate / None of these
42. Calculate % incr ease /decr ease in debt tur nover r atio f or f ir st quarter of 2002-03 to last quarter of 2003-04. (2mar ks) 1] 18% 2] 83% 3] 43% 4] Indeter minate / None of these
43. Expr ess incr ease/ decr ease in exter nal debt f r om the end of f ir st quarter to end of last quarter of 2002-03 as a % of incr ease or decr ease in exter nal debt of 2003-04. (2mar ks) 1] 30.77% 2] 88.88% 3] 43.53% 4] Indeter minate / None of these
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Dir ections f or questions 44 to 47: C AT 2003 had 3 sections – I, II and III, each compr ising 50 questions. The f ollowing table gives the per f or mance of 200 students who have taken the test. Corr ect questions have 1 mark and incorr ect or unanswer ed questions carry no marks.
Section 1 Section 2 Section 3 Range of Marks
% Students
Accur acy Per centage
% Students
Accur acy Per centage
% Students
Accur acy Per centage
0-10 10% 30% 5% 10% 20% 25% 0-20 20% 35% 40% 20% 60% 30% 0-30 40% 40% 70% 30% 85% 40% 0-40 70% 45% 90% 50% 95% 50% 0-50 100% 50% 100% 40% 100% 40%
While per centage students indicate per centage of students who have scor ed in the particular r ange, accur acy per centage indicates the aver age accur acy per centage of the students in that r ange.
44. How many students scor ed over 20 marks in section 1 ? (1mar k) 1] 80 2] 160 3] 70 4] 140
45. How many students scor ed less than 10 in all thr ee sections? (1mar k) 1] 10 2] 20 3] 5 4] Indeter minate
46. Which of the f ollowing statement is necessar ily tr ue ? (1mar k) 1] Accur acy is higher f or people who scor e higher in all sections. 2] Accur acy f ir st incr eases and then decr eases as scor es incr ease. 3] 5% of the students have scor ed over 120. 4] None of these.
47. Which of the f ollowing statement is necessar ily tr ue ? (1mar k) 1] Over all aver age scor e in section 1 is lower when compar ed to section 2. 2] Over all aver age scor e in section 2 is lower when compar ed to section 3. 3] Both 1 and 2 4] Neither 1 nor 2
Dir ections f or question 48 to 50: A question is f ollowed by two statements labeled A and B. Mark
1
if
statement
B
alon
e is s
uff icient
to
answer the qu
estion.
Mark
2 if
both
statements A
and B ar e also not suff icient to answer the question. Mark 3 if either statement alone is suff icient to answer the question or both statements together ar e r equir ed to answer the question. Mark 4 if statement A alone is suff icient to answer the question.
48. What is the distance f r om Mar s to Earth ? (1mar k) A. Mar s is 4 million light year s f r om Sun and Earth is 3 million light year s away f r om Sun. B. Light tr avels at a speed of 300,000 k.m. per second. 1] 2 2] 3 3] 1 4] 4
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49. Who is the youngest between A jay, Binoy and Char i ? (1mar k) A. Sum of A jay’s and Binoy’s age is mor e than 3 times Char i’s age. B. Sum of Char i’s and Binoy’s age is mor e than 3 times A jay’s age. 1] 1 2] 2 3] 4 4] 3
50.
Did the se
nsex
r ise
or f all
? (1ma
r k)
A. Of the 30 shar es that r epr esent the sensex, 20 r ose and 10 f ell. B. The weightage of the 10 scr ipts that f ell is an AP with integr al value as diff er ence, and the weightage of those that r ose wer e in a GP. 1] 1 2] 2 3] 3 4] 4
Dir ections f or questions 51 to 55: In a r ecent NRS survey, the computer ’s sof twar e had pr oblem, and though it gave accur ate output, data f or individual newspaper s r eader ship was unavailable. The table shows the output gener ated by the thr ee computer s f or 3 metr os. All f igur es ar e in thousands.
Delhi Bangalor e Mumbai ToI
+
IE
1900
1280
2300
ToI + Midday 1650 1200 2985 ToI + HT 3000 1200 2200
ToI + Deccan 1650 2150 2150 Deccan + Hindu 415 1635 415 Hindu + Midday 415 685 1250
It is known that Midday sells only in Mumbai, Deccan only in Bangalor e, and that HT does not sell in Bangalor e. Ther e ar e no other newspaper s in the thr ee cities.
51. Which is the second lar gest selling newspaper in the thr ee metr os put together ? (1mar k) 1] ToI 2] Hindu 3] HT 4] None of these
52. What is the diff er ence (in ‘000) between ToI and the least selling newspaper in the thr ee metr os put together ? (1mar k) 1] 4520 2] 3750 3] 2250 4] None of these
53. What is the total number of newspaper s sold in Delhi (in ‘000) ? (1mar k) 1] 3665 2] 3750 3] 3825 4] None of these
54. Bangalor e ToI cir culation exceeds Mumbai IE cir culation by _______ thousands. (1mar k) 1] 1050 2] 950 3] 850 4] None of these
55. Appr oximately how many thousands of newspaper s ar e sold in all the thr ee metr os put together ? (1mar k) 1] 10180 2] 8500 3] 12250 4] 11500
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Dir ections f or questions 56 to 59 : Four companies visit IIM – Z f or r ecr uiting its 300 students and each have diff er ent r ecr uitment pr ocesses. However , a test and an interview ar e common to all 4 companies. The f ollowing table indicates the number of students who attended each stage. The diff er ence in number s indicates those who could not clear the stage. Some companies also had the basic cr iter ia of aggr egate marks in academics. A “-” r epr esents that the stage was not a part of the pr ocess. Company
Basic Cr iter ia
Stages ………………………………….……>> Test GD Interview Psychometr ic
Test Final Selection
A 300 300 80 25 - 10 B 250 140 40 25 - 5 C - 240 - 35 25 10 D 180 150 40 20 18 15
56. Per centage of students selected as a pr oportion of those who appear ed f or the test is the lowest f or (1mar k) 1] A 2] B 3] C 4] D
57. If no student was selected f or interview by two companies, then what is the minimum number of individual students who qualif ied f or GDs of the thr ee companies that conducted GDs ? (1mar k) 1] 80 2] 70 3] 105 4] 120
58. Filtr ation level is the per centage of students who ar e selected f or the next r ound, compar ed to the pr evious r ound. At what stage did most students of IIM-Z get f ilter ed out ? (1mar k) 1] Test 2] GD 3] Psychometr ic Test 4] Interview
59. What is the maximum number of students who may not have got a job off er f r om the above 4 companies of IIM – Z ? (1mar k) 1] 285 2] 260 3] 290 4] 275 DIRECTIONS f or questions 60 to 65: Ref er to the data below. 5 movies of 4 dir ector s (Speel-bur g, JackyeeChain, Olee-ver , and Shyaam-aila) f igur ed in the O’scar Awar ds. Among them, these movies had 15 nominations. Each dir ector secur ed atleast one nomination. Fr om these movies, ther e wer e 2 nominations f or the best actr ess, 3 f or the best lyr icist, and 3 f or the best scr ipt. The dir ector of the movie which got the best lyr icist awar d was nominated f or the best dir ection in two movies. Another movie had nominations f or the best lyr icist, best music, best scr ipt, and best actor . Speel-bur g’s movie had 3 nominations. Shyaam-aila got nominated f or the best dir ection in the only movie he had dir ected. His movie also f igur es in the best scr ipt and the best music awar d. JackyeeChain was nominated as the best dir ector f or the movie whose actor , actr ess wer e nominated f or the best actor and the best actr ess awar d r espectively.
60. Which of the f ollowing is/ar e necessar ily tr ue ? (1mar k) a) Olee-ver was nominated f or the best dir ection. b) The best musician was f r om JackyeeChain’s movie. c) Shyaam-aila’s movie bagged 3 nominations. d) Speel-bur g’s movie was nominated f or the best actor . 1] a 2] b and c 3] c 4] c and d
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61. Whose movie was nominated f or maximum awar ds ? (1mar k) 1] Olee-ver ’s 2] JackyeeChain’s 3] Shyaam-aila’s 4] Speel-bur g’s
62. How many nominations (f r om these 5 movies) wer e ther e f or the best dir ector ? (1mar k) 1] 2 2] 3 3] 4 4] 5
63. How many nominations did JackyeeChain’s movie/s have ? (1mar k) 1] 2 2] 3 3] 4 4] 5
64. Whose movie got the best lyr icist awar d ? (1mar k) 1] JackyeeChain’s 2] Olee-ver ’s 3] Shyaam-aila’s 4] Speel-bur g’s
65. How many nominations wer e ther e f or the best actor , the best music, and the best lyr icist together ? (1mar k) 1] 5 2] 8 3] 7 4] 6
DIRECTIONS f or questions 66 to 68: Ref er to the f igur e below. In the f igur e below, the f ir st number on a path denotes the cost (in Rs.) of carrying 1 litr e of a certain liquid between the two nodes joined by that path. The second number denotes the capacity of liquid the pipe can carry between the two nodes in 1 day.
66. What is the minimum cost of tr ansporting 2 litr es f r om A to H in 1 day ? (2mar ks) 1] Rs.10 2] Rs.12 3] Rs.20 4] Rs.24
67. What is the maximum amount of liquid that can be carr ied f r om A to H in 2 days f r om all possible r outes ? (2mar ks) 1] 9 litr es 2] 18 litr es 3] 12 litr es 4] 14 litr es
68. What is the minimum cost of carrying 4 litr es f r om A to H in 1 day ? (2mar ks) 1] Rs.46 2] Rs.40 3] Rs.42 4] Rs.48
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Dir ections f or questions 69 to 72: Ref er to the diagr am below.
The above diagr am r epr esents the per centage marks scor ed by 3 students P, Q, and R. V = Ver bal Ability, M = Maths, DI = Data Inter pr etation, C = Compr ehension Assume all the thr ee sub jects have the same maximum marks. For eg. Q has scor ed 100% in Math.
69. What is the r atio of marks of P to Q in sub ject C ? (1mar k) 1] 4 2] 2 3] 3 4] Indeter minate
70. How many marks does R need to catch up with P in compr ehension (C) ? (1mar k) 1] 76 2] Indeter minate 3] 50 4] 25
71. If to gain 5%, 16 minutes of study is needed, how many hour s does R need to put in to catch up with Q in M ? (1mar k) 1] 2 hr s 10 mins 2] 2 hr s 30 mins 3] 2 hr s 40 mins 4] Indeter minate
72.
Who is the high
est scor
er in
Engli
sh (V +
C)
? (1ma
r k)
1] Q 2] R 3] P 4] Indeter minate
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Questions 73-76 ar e based on the f ollowing data: Five students wr ote an examination. Af ter they r eceived their marks (all diff er ent), they r ealised the f ollowing f acts : 1] All obtained marks which wer e multiples of 10. 2] Only 1 student had secur ed less than the minimum passing scor e of 40. 3] Mohan obtained two-thir ds the marks of the student who got 60. 4] The student who obtained mor e marks than Kr ish and less than Vivek, also obtained thr ee and a half times the marks that Ra j obtained. 5] Jay’s scor e is the aver age of Kr ish and Vivek
73. Vivek obtained (0.5mar k) 1]50 marks 2]60 marks 3]80 marks 4]55 marks
74. The combined scor e of Ra j, Kr ish and Jay is (0.5mar k) 1]150 marks 2]160 marks 3]190 marks 4]100 marks
75. The mean scor e of all the f ive students is (0.5mar k) 1]50 2]44 3]54 4]52
76. The median scor er was (0.5mar k) 1]Kr ish 2]Jay 3]Ra j 4]Vivek
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96. A ‘disinter ested’ scientist is one 1] who is not inter ested in the eff ects of science on society. 2] who is neutr al to the eff ects of science on society. 3] who looks at the eff ects of science as they r eally ar e. 4] who is devoted to humanitar ian consider ations.
97. Accor ding to the author , scientists wer e misused by the society by 1] imposing r estr ictions on their works. 2] br inging conf licts among scientists. 3] using their f indings f or wr ong pur poses. 4] misleading people against scientists.
98. Accor ding to the passage, men of science diff er 1] in their ar eas of specialisation. 2] in their attitude towar d their work. 3] in their concer n r egar ding social r esponsibilities. 4] in their appr oaches to people’s belief s and pr actices.
99. The dilemma of a scientist r esults f r om the f act that 1] it is impossible to escape f r om it. 2] it is avoidable but scientists do not avoid it. 3] either choice leads to the destr uction of the whole wor ld. 4] either choice puts the scientist in a diff icult situation.
100. Which of the f ollowing is not a consequence of scientif ic development? 1] It has questioned blind f aith and r eligious pr actices. 2] It has changed the outlook of mankind. 3] It has br ought about peace and har mony. 4] It has developed scientif ic attitude and temper among people. Dir ections f or questions 101-106 : A number of sentences ar e given below which, when pr oper ly sequenced, f or m a coher ent par agr aph. Each sentence is labeled with a letter . Choose the most logical or der of sentences f r om among the f our given choices to constr uct a coher ent par agr aph. (1mar k questions)
101. A. Exquisite paintings on walls of village huts, ‘r angoli’ at doorways dur ing f estivals to guide the goddess Laxmi into households on Diwali ar e all spontaneous cr eative expr essions of the ladies of the house. B. But thanks to the curr ent cr aze f or ethnic, the best of the old is now back with a vengeance. C. Walls and f loor s have tr aditionally been mediums of self -expr ession in India. D. Now with synthetic paints r eplacing the dung plaster ing on walls and pr inted vinyl wallpaper s adding that dash of moder n artistry, one would think the tr aditional has well and tr uly been displaced. 1] C ADB 2] BD AC 3] DBC A 4] BC AD
102. A. But the basic colour vocabulary of even the r ichest language is pitif ully small - f ewer than a dozen wor ds. B.
Th
e hum
a
n eye ca
n dis
ce
r n the diff
e
r e
nce be
twee
n seve
r a
l million
colour
s of
va
rying hu
e
,
satur ation and lightness. C. It is not colour awar eness that is lacking but a colour vocabulary. D. All other colour ter ms ar e a matter of qualif ying a basic wor d, such as light blue or dark gr een. 1] ACDB 2] B ADC 3] DBC A 4] CBD A
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103. A. Absor ption with pr oducts and pr oduction pr ocesses has given way to an overr iding concer n with customer needs as the deter minant of company str ategy. B. The past thr ee decades of inter national tr ade have been marked by intense competition among well managed industr ial companies. C. At the same time, a noticeable shif t has taken place in the pr eoccupation of top manager s in the mor e successf ul companies. D. Mor e r ecently still, this market f ocus has taken on an explicitly comp
e
titive dim
e
nsion.
1] D ACB 2] ACBD 3] BC AD 4] CD AB
104. A. Existing inf or mation sour ces may pr ovide an executive with f inancial analyses such as r etur n on assets, r etur n on sales, r etur n on equity; or with customer pr of iles, industry tr ends and pr oductivity measur es. B. However , other systems of data input to manager s ar e possible - such as issue-or iented data analysis - that pinpoint pr oblems top management wants to addr ess, so that decisions taken ar e consistent with the over all str ategy of the enter pr ise. C. Thus the manager may not have to waste time penetr ating the “smoke scr een” commonly f ound in histor ically gr own r eports and statistics. D. Fr om such data, he would develop r esponses and actions to whatever business pr oblems loomed lar ge at that time. 1] C ABD 2] DC AB 3] BD AC 4] ADBC
105. A. Accor ding to sociologists ‘speech is the instr ument of society’ B. Language is the essential r equir ement f or all human co-oper ative work. C. It is used not only f or giving and r eceiving inf or mation, but also f or gr eeting, conver sation, ar guments etc. D. But a mor e usef ul appr oach is that, it is a means of social contr ol. 1] B ACD 2] CD AB 3] ADCB 4] DB AC
106. A. It would be a misinter pr etation of democr acy amounting to oppr ession. B. In lar ge ar eas, Hindi is not spoken and people ther e speak other languages. C. It will be unf air to r aise Hindi to an off icial position. D. By doing this, the other language gr oups would be consigned to an inf er ior position. 1] BCD A 2] ABCD 3] CBD A 4] D ACB Dir ections f or questions 107 to 112 : Arr ange the sentences A, B, C and D to f or m a logical sequence between sentences 1 and 6. (1mar k questions)
107. 1. India has been trying to impr ove r elations with China and to f ind out a satisf actory settlement to the boundary question. A. China however wants us to impr ove r elations with it and to f ind out a satisf actory settlement to the bor der pr oblem. B. We must maintain a vigil and try to r egain our lost terr itory with honour and dignity. C. With r egar d to the boundary dispute with China, India’s stand is very clear . D. Ther e is no har m pr ovided we make sur e that we do not walk into a tr ap. 6. As late as in Febr uary 1988 Mr . Ra jiv Gandhi str essed that any solution to the India-China boundary issue should be equitable not only to the two gover nments but also to the people of the two countr ies. 1] D ABC 2] ACBD 3] ADBC 4] B ACD
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108. 1. The Ehler br other s or iginally started a f actory f or the manuf actur e of stonewar e in London. A. They wer e of Ger man Dutch Or igin. B. They later moved to Staff or dshir e wher e the conditions wer e mor e f avour able. C. Their f ather was a nobleman f r om Saxony and their mother the daughter of a Bur gomaster of Amster dam. D. Although the br other s wer e or iginally silver smiths they also studied the manuf actur e of salt gla
ze
d ston
ewar e
in Cologn
e
.
6. One of the br other s John, was also a clever chemist. 1] B ACD 2] CB AD 3] ABDC 4] DB AC
109 1. The use of china clay in earthenwar e manuf actur e was a gr eat success. A. The use of moulds made it possible to pr oduce exact copies in gr eat quantities. B. Numer ous new f actor ies wer e established using this new development. C. Var ious other new pr ocesses associated with it such as the employment of por ous plaster moulds wer e also begun. D. The body became whiter , much str onger and lent itself to mass pr oduction. 6. The pr oduction costs decr eased and the pur chase of pottery was made available to a much wider public. 1] BCD A 2] ACBD 3] CD AB 4] DBC A
110. 1. Ear ly in the eighteenth century Astbury of Shelton succeeded in making white salt glazed stor ewar e. A. Incidentally the f ir st use of china clay as a r aw mater ial f or giving gr eater whiteness to an earthenwar e paste is attr ibuted to his son. B. It is said that he got his knowledge of the Ehler ’s secr et f or mula by getting a job at their f actory. C. The manuf actur e of white salt glazed stonewar e r eached the height of per f ection in the middle of the eighteenth century. D. Af ter having obtained their secr et he started a business of his own. 6. Very tastef ully decor ated stor ewar e was made in those days lending itself marvellously to decor ation by painting. 1] ABDC 2] BD AC 3] B ADC 4] DBC A
111. 1. The por celain f actory at Chelsea seems to have been established in 1730 with the participation of the Ehler br other s. A. Statuettes and f igur es wer e made in lar ge quantities. B. Tablewar e was also very tastef ully decor ated and designed. C. The f actory and war e r eached their peak of per f ection and success between 1750 and 1765. D. In those year s the f actory was har dly able to execute all the or der s which it r eceived f r om the r oyal f amily and especially f r om the ar istocr acy. 6. In 1769 the f actory was bought by Dewsbery of Der by. 1] BCD A 2] ACBD 3] CD AB 4] C ABD
112. 1. Secr et f or mulae ar e slowly but sur ely being r eplaced by scientif ic pr inciples. A. Thus mor e and mor e people ar e able to buy it. B. But the pr ocesses have been speeded up by mass pr oduction. C. This makes cer amic war e inexpensive. D. The potter s today ar e still wonder f ul cr af tsmen. 6.
As r egar ds des
ign and
decor
ation
the tr ansition
per iod
to
mass
pr oduction was
not an eas
y
one. 1] ADCB 2] B ACD 3] DBC A 4] CDB A
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Dir ections f or questions 123 -126 : In each of the f ollowing sentences, part/parts of the sentence is/ar e lef t blank. Beneath each sentence f our diff er ent ways of completing the sentence ar e indicated. Choose the wor d / phr ase that best completes the sentence. (1mar k questions)
123. _________ author s and publisher s as to who should be r esponsible f or maintaining the biblio site. 1] Ther e is a gr owing concor d among 2] Ther e is an ongoing tussle between 3]
Th
er e is a
n ongoing
tuss
le among
4]
Th
er e is a
lack
of
conc
er n
betw
een
124. The nor mal man is sub ject to a number of f ear s; f ear of what will happen tomorr ow, indeed, ____________ is inher ent in every being 1] f ear of the unknown 2] f ear of losing things 3] f ear of the f or egone 4] f ear of the pr esent
125. Our inner univer se manif ests itself outwar dly in sickness and health, in joy and sorr ow and ________ 1] in peace and calmness. 2] in tr anquility and ser enity. 3] in peace and str ess. 4] in str ess and str ain.
126. The love depicted in the wr iting is neither ________ nor _______ ; it is simply divine and seeks to elevate the individual human self to a higher plane. 1] sensual…. platonic 2] car nal….static 3] spir itual…. emotional 4] aff ective….logical
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S AMPLE OMR SHEET
N AME D ATE DIRECTIONS : 1 Mark your answer by darkening the appr opr iate cir cle with an HB
Pencil. 2 Er ase clear ly any answer you want to change. 3 Make no str ay mark anywher e on the scor e sheet.
1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 O O O O 26 O O O O 51 O O O O 76 O O O O 101 O O O O 2 O O O O 27 O O O O 52 O O O O 77 O O O O 102 O O O O 3 O O O O 28 O O O O 53 O O O O 78 O O O O 103 O O O O 4 O O O O 29 O O O O 54 O O O O 79 O O O O 104 O O O O 5 O O O O 30 O O O O 55 O O O O 80 O O O O 105 O O O O 6 O O O O 31 O O O O 56 O O O O 81 O O O O 106 O O O O 7 O O O O 32 O O O O 57 O O O O 82 O O O O 107 O O O O 8 O O O O 33 O O O O 58 O O O O 83 O O O O 108 O O O O 9 O O O O 34 O O O O 59 O O O O 84 O O O O 109 O O O O 10 O O O O 35 O O O O 60 O O O O 85 O O O O 110 O O O O 11 O O O O 36 O O O O 61 O O O O 86 O O O O 111 O O O O 12 O O O O 37 O O O O 62 O O O O 87 O O O O 112 O O O O 13 O O O O 38 O O O O 63 O O O O 88 O O O O 113 O O O O 14 O O O O 39 O O O O 64 O O O O 89 O O O O 114 O O O O 15 O O O O 40 O O O O 65 O O O O 90 O O O O 115 O O O O 16 O O O O 41 O O O O 66 O O O O 91 O O O O 116 O O O O 17 O O O O 42 O O O O 67 O O O O 92 O O O O 117 O O O O 18 O O O O 43 O O O O 68 O O O O 93 O O O O 118 O O O O 19 O O O O 44 O O O O 69 O O O O 94 O O O O 119 O O O O 20 O O O O 45 O O O O 70 O O O O 95 O O O O 120 O O O O 21 O O O O 46 O O O O 71 O O O O 96 O O O O 121 O O O O 22 O O O O 47 O O O O 72 O O O O 97 O O O O 122 O O O O 23 O O O O 48 O O O O 73 O O O O 98 O O O O 123 O O O O 24 O O O O 49 O O O O 74 O O O O 99 O O O O 124 O O O O 25 O O O O 50 O O O O 75 O O O O 100 O O O O 125 O O O O
126 O O O O