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Management Aptitude Test December 2000 All India Management Aptitude Testing Service (AIMATS) Section I : Language Comprehension Direction Directionss (Qs. 1 to 5) : Read the passage given below carefully and then answer these questions based on what is stated or implied in the passage. Anxiety and conscience are a pair of powerful dynamos. Of course, I can only speak for myself. Between them, they have ensured that one shall work hard, but they cannot ensure that one shall work at anything worthwhile. They are blind forces which drive but do not direct. Fortunately, I have also been moved by a third motive—the wish to see and understand. Curiosity is another motive for action. It is also one of the distinctive characteristics of human nature and contrasted with the natures of non-human animals. All human beings have curiosity in some degree and we also all have it about things which are of no practical use. Curiosity may be focussed on anything in the universe, but the spiritual reality of the phenomena should be the ultimate objective of all curiosity for it to be fruitful. Thanks to my mother my approach to this ultimate objective is through the story of human affairs. MANAGEMENT APTITUDE TEST AT A GLANCE 1. What is the main objective of this passage ? (1) Distinguish between human beings and animals (2) Project curiosity as a potent motivating factor (3) Project anxiety and conscience as inadequate motivators (4) Motivation and spiritual reality 2. A characteristic peculiar to human beings that is referred to is (1) Superior intelligence (2) Spirit of enquiry (3) Capacity to rationalise and analyse (4) Ability to sift the practical from the impractical 3. Which of the following statements is true according to the passage ? (1) Animals are as curious as human beings (2) Curiosity is the only motive for action (3) People motivated by curiosity do not need other motives to guide them (4) People motivated by anxiety and conscience alone can be misdirected 1 4. According to the author (1) Those who have little curiosity are curious about unimportant things (2) Apart from humans no other living beings have the gift of curiosity (3) The highest form of curiosity can be satisfied by study of human affairs alone. (4) Spiritual reality is the ultimate goal of humans through action 5. The author subscribes to the view (1) One’s curiosity should focus beyond the facade on the latent meaning of things (2) Curiosity is an inherited family characteristic (3) A study of human affairs is the most effective method of satisfying one’s curiosity (4) In order to motivate, curiosity must be coupled with anxiety and conscience Directions (Qs. 6 to 10) : Read the passage given below and then answer these questions which are based on what is stated or implied in the passage. Soft-bodied animals like caterpillars often fall a prey to voracious hunters like birds or reptiles. Despite having no means to ‘actively’ defend themselves, with weapons like claws or jaws, they have, nevertheless, evolved other equally effective deterrents. A particular species of the caterpillar lives at an altitude of over 2,500 metres in the Himalayas. It uses prominent colours to inform wouldbe predators of its inedibility. In the event that an inexperienced or adventurous bird did eat the caterpillar, it would probably vomit it out soon after, and subsequently desist from attacking similar species in the future. Though this would do the unfortunate victim no good, the species benefits. A rare example of the martyr among animals. 2 6. Caterpillars cannot defend themselves because they (1) Are passive animals (2) Are lazy (3) Cannot acquire weapons (4) Have no claws or jaws 7. The expression ‘other equally effective deterrents’ means (1) Preventive weapons which have equal effect on others (2) Mechanism which scares everyone equally well (3) Preventive equipment which is as effective as something that has been already mentioned (4) Deterrents that are as powerful as those the caterpillars have. 8. The Himalayan caterpillar uses prominent colours to (1) Warn the predator (2) Attack the predator (3) Reveal itself (4) Defend itself 9. Experienced birds do not attack the Himalayan caterpillar because they are (1) Repulsive (2) Inedible (3) Aggressive (4) Diseased 10. In the context of the passage, a martyr is one who dies (1) Without putting up resistance (2) Without any gain to oneself (3) While defending one’s homeland (4) To save others Directions (Qs. 11 to 16) : In these questions, choose the word from the four alter natives (1), (2), (3) and (4) that is alternatives most nearly similar in meaning to the wor d given in CAPIT AL letters. word CAPITAL 11. REVULSION (1) Apathy (2) Violence (3) Disgust (4) Avenge 12. GRIT (1) Bold (2) Courage (3) Grease (4) Level MANAGEMENT APTITUDE TEST AT A GLANCE 13. SALACIOUS (1) Obscene (2) Wise (3) Wholesome (4) Confident 14. CLOUT (1) Fear (2) Claw (3) Joke (4) Power 15. FOMENT (1) Instigate (2) Shield (3) Frustrate (4) Waver 16. REPERCUSSION (1) Reaction (2) Acceptance (3) Resistance (4) Magnificence Directions (Qs. 17 to 22) : In these questions, choose the word from the four alter natives (1), (2), (3) and (4) that is alternatives most nearly opposite in meaning to the wor d given in CAPIT AL letters. word CAPITAL 17. COMPASSIONATE (1) Indecisive (2) Unsympathetic (3) Unlawful (4) Untrustworthy 18. RESTIVE (1) Buoyant (2) Placid (3) Resistant (4) Insolent 19. GRADUAL (1) Energetic (2) Dynamic (3) Rapid (4) Enthusiastic 20. RUDIMENTARY (1) Developed (2) Polite (3) Pale (4) Weak 21. SALVAGE (1) Burn (2) Remove (3) Confuse (4) Lose 22. SEDENTARY (1) Vivid (2) Afraid (3) Indolent (4) Active Directions (Qs. 23 to 28) : In these questions, each sentence has a blank indicating that something has been omitted. Beneath each sentence, four natives (1), (2), (3) and (4) ar e given. alter alternatives are Choose the word or set of words for each blank that best fits in the blank without changing the meaning of the sentence as a whole. MANAGEMENT APTITUDE TEST AT A GLANCE 23. If you do not ........, all your monthly expenses would exceed your income. (1) Economise (2) Spend (3) Save (4) Splurge 24. The magician .................. the rabbit into a pigeon. (1) Transformed (2) Transfigured (3) Converted (4) Made 25. The cost of this operation has .................... our small store of money. (1) Destroyed (2) Damaged (3) Depleted (4) Affected 26. He had taken the shocking news quietly, neither ................... fate nor uttering any word of bitterness. (1) Submitting to (2) Railing against (3) Conspiring with (4) Dissenting from 27. The greater ..................... increase in population, the harder it is for people to find adequate housing. (1) Of (2) The (3) Is the (4) Is of the 28. Capitalist society ....................... profit as a valued goal. (1) Which regards (2) Regarded (3) Was regarded (4) Regards Directions (Qs. 29 to 34) : In these questions, each sentence has four under under-lined words or phrases marked A, B, C and D. Choose the one that must be changed to make the sentence correct. 29. Many psychologists today suggest (A)/ that we interpret dreams by compare (B)/ the dreams with (C)/ the reality of each person’s (D)/ life. (1) A (2) B (3) C (4) D 30. When (A)/ I came home, the (B)/ children still didn’t finish (C)/ dinner. (D) (1) A (2) B (3) C (4) D 31. He would (A)/ never have taken the job if he had been knowing (B)/ what great demands (C)/ it would make (D)/ on his time. (1) A (2) B (3) C (4) D 3 32. Schools in India can be supported (A)/ either by government budgets (B)/ and (C)/ by private foundations. (D) (1) A (2) B (3) C (4) D 33. Delhi is definitely (A)/ one of the (B)/ most large (C)/ cities (D)/ in the world. (1) A (2) B (3) C (4) D 34. Both (A)/ personality and external looking (B)/ vary (C)/ greatly even among (D)/ brothers and sisters. (1) A (2) B (3) C (4) D Directions (Qs. 35 to 40) : In each of these questions questions,, a related pair of words is followed by four pairs of words (1), (2), (3) and (4 ). Choose the pair that (4). best expresses a relationship similar to that expr essed in the original pair pair.. expressed 35. Treasure : Chest : : (1) Money : Account (2) Coins : Mint (3) Finance : Exchequer (4) Cash : Vault 36. Wool : Warmth : : (1) Radio : Broadcast (2) Person : Success (3) Marketing : Advertising (4) Spring : Elasticity 37. Goose : Gander : : (1)Dog : Pup (2) Sheep : Flock (3)Doe : Stag (4)Horse : Bridle 38. Torch : Liberty : : (1)Laws : Court (2)Scales : Justice (3)Balance : Equity (4)Weights : Measure 39. Greenhouse : Plant : : (1)Incubator : Infant (2)Hen house : Chicken (3)Hive : Bee (4)Archives : Document 40. Whisper : Speak : : (1)Listen : Bear (2) Request : Ask (3)Brush : Touch (4) Heat : Chill ANSWERS 1. (4) 5. (4) 9. (2) 13. (1) 17. (2) 21. (1) 25. (3) 29. (2) : It 30. (3) : It 31. (2) : It 32. (3) : It 33. (3) : It 34. (4) : It 35. (4) 39. (1) 2. (2) 6. (4) 10. (4) 14. (4) 18. (1) 22. (4) 26. (2) should should should should should should 36. (4) 40. (2) 3. (4) 4. (4) 8. (4) 7. (3) 11. (3) 12. (2) 15. (1) 16. (1) 19. (3) 20. (1) 23. (3) 24. (1) 27. (3) 28. (4) be ‘comparing’. be ‘hadn’t finished’ be ’known’. be ‘or’. be ‘largest’. be ‘between’. 37. (3) 38. (2) Section II : Mathematical Skills 41. Father’s age is 4 times that of his son. 5 years back, it was 7 times. His age now is (1) 30 (2) 35 (3) 40 (4) 45 42. A salesman averages Rs. 240 during a normal 40-hour week. During a sale, his rates are increased by 50%. 4 What is his commission if he puts in 60 hours during the sale ? (1) 390 (2) 540 (3) 600 (4) 640 43. What is the next number in the series given below ? 2, 5, 9, 14, 20 (1) 25 (2) 26 (3) 27 (4) 28 MANAGEMENT APTITUDE TEST AT A GLANCE 44. If two numbers are in the ratio 6 : 13 and their least common multiple is 312, then the sum of the numbers is (1) 75 (2) 57 (3) 76 (4) 67 5a + 3b 23 = , then the value 2a − 3b 5 of a : b is (1) 2 : 1 (2) 1 : 4 (3) 1 : 2 (4) 4 : 1 46. Two dice are tossed. The probability that the total score is a prime number is 1 5 1 7 (2) (3) (4) (1) 6 12 2 9 47. In how many ways can six different rings be worn on four fingers of one hand ? (1) 10 (2) 12 (3) 15 (4) 16 48. What is the next number in the series given below ? 53, 48, 50, 50, 47 (1) 51 (2) 46 (3) 53 (4) 52 49. A travels from B to C a distance of 250 miles in 5.5 hours. He returns to B in 4 hours 40 minutes. His average speed is (1) 44 (2) 46 (3) 48 (4) 50 50. A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price ? (1) Rs. 175 (2) Rs. 200 (3) Rs. 225 (4) Rs. 250 51. I derive an annual income of Rs. 688.25 from Rs. 10,000 invested partly at 8% p.a. and partly at 5% p.a. simple interest. How much of my money is invested at 5% ? (1) Rs. 3,725 (2) Rs. 4,225 (3) Rs. 4,800 (4) Rs. 5,000 45. If MANAGEMENT APTITUDE TEST AT A GLANCE 52. A right-angled triangle has a hypotenuse of 13 cm and one side of 12 cm. Its area is (1) 30 (2) 39 (3) 80 (4) 78 53. A circular park of 20-metre diameter has a circular path just inside the boundary of width 1 metre. The area of the path is (1) 15π (2) 17π (3) 19π (4) 25π 54. An inspector rejects .08% of the meters as defective. How many will he examine to reject 2 ? (1) 200 (2) 250 (3) 2500 (4) 3000 55. In a survey, it was found that 65% of the people watched news on TV, 40% read in newspaper, 25% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper ? (1) 0% (2) 5% (3) 10% (4) 20% 56. x% of y is y% of y x (3) (4) 100x (1) x (2) 100 100 57. A can do a work in 18 days, B in 9 days and C in 6 days. A and B start working together and after 2 days C joins them. What is the total number of days taken to finish the work ? (1) 4.33 (2) 4.5 (3) 4.66 (4) 5.33 58. The surface area of a cube is 150 sq cm. What is the length of its diagonal in cm ? 5 3 (1) 5 (2) (3) 5 3 (4) 5 2 2 59. What is the missing figure in the expression given below ? ∗ 16 16 9 9 9 × − × + × = 1 7 7 7 7 7 7 (1) 1 (2) 7 (3) 4.57 (4) 32 5 60. If the circumference and the area of a circle are numerically equal, then what is the numerical value of the diameter ? (1) 1 (2) 2 (3) 4 (4) π 61. In a house, there are six 40-watt lamps which are on for 5 hours a day and three 80-watt fans which are on for 10 hours a day. If electricity costs Rs. 2 per kilowatt hour, what is the monthly electricity bill ? (1) Rs. 216 (2) Rs. 280 (3) Rs. 315 (4) Rs. 400 62. A driver’s income consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ? (1) 4/9 (2) 5/9 (3) 5/8 (4) 5/4 63. A house costs C rupees. Later it was sold for a profit of 25%. What is the capital gains tax if it is 50% of the profit ? (1) C/24 (2) C/8 (3) C/4 (4) C/2 64. What is the value of the following expression ? (1 + x) (1 + x2) (1 + x 4 ) (1 + x8) (1 – x) (1) 1 + x16 (2) 1 – x16 16 (3) x – 1 (4) x8 + 1 65. In a triangle ABC, ∠A = 90° and D is mid-point of AC. The value of BC2 – BD2 is equal to (1) AD2 (2) 2AD2 2 (3) 3AD (4) 4AD2 66. If an angle is its own complementary angle, then its measure is (1) 30 (2) 45 (3) 60 (4) 90° 67. Which of the following equations has real roots ? (1) 3x2 + 4x + 5 = 0 (2) x2 + x + 4 = 0 (3) (x – 1) (2x – 5) = 0 (4) 2x2 – 3x + 4 = 0 6 68. A wire is in the form of a circle of radius 35 cm. If it is bent into the shape of a rhombus, what is the side of the rhombus ? (1) 32 cm (2) 70 cm (3) 55 cm (4) 17 cm 69. In a G.P., the first term is 5 and the common ratio is 2. The eighth term is (1) 640 (2) 1280 (3) 256 (4) 160 70. How much water must be added to 100 cc of 80% solution of boric acid to reduce it to a 50% solution ? (1) 30 (2) 40 (3) 50 (4) 60 P + Q 71. What is the value of if P − Q P = 7? Q 4 2 2 7 (2) (3) (4) (1) 3 3 6 8 72. If the arithmetic mean of two numbers is 5 and geometric mean is 4, then the numbers are (1) 4, 6 (2) 4, 7 (3) 3, 8 (4) 2, 8 73. X is what percent of 4/5th of X ? (1) 75 (2) 80 (3) 120 (4) 125 74. Square root of 117649 is (1) 347 (2) 343 (3) 353 (4) 357 75. Cube root of 658503 is (1) 83 (2) 77 (3) 87 (4) 97 76. Two rockets approach each other, one at 42,000 mph and the other at 18,000 mph. They start 3256 miles apart. How far are they apart (in miles) 1 minute before impact ? (1) 1628 (2) 1000 (3) 826 (4) 1200 MANAGEMENT APTITUDE TEST AT A GLANCE 77. A bought 4 bottles of beer and B bought one bottle of lager, lager per bottle costing twice that of the beer. C bought nothing but paid Rs. 50 for his share of the drink which they mixed together and shared equally. If C’s Rs. 50 covered his share, then what is the cost of the lager ? (1) 50 (2) 75 (3) 30 (4) 46 78. In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students ? (1) 35 (2) 42 (3) 52 (4) 60 79. In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers ? (1) 10 (2) 15 (3) 20 (4) 25 80. A worker is paid Rs. 56 for 35hour week. Upto 40 hours, he is paid at the normal rate and on overtime, 1.5 times the normal. How many hours did he work to get Rs. 88 ? (1) 48 (2) 52 (3) 58 (4) 55 ANSWERS 41. (3) : F = 4S, (F – 5) = 7 (S – 5) ⇒ F = 40, S = 10 42. (2) : Rate is increased from Rs. 6 per hour to Rs. 9 per hour. 43. (3) : The sequence in the given series is + 3, + 4, + 5, + 6, + 7. 44. (3) : Let the numbers be 6k and 13k. L.C.M. = 312 L.C.M. of 6k and 13k = 6 × 13 × k ∴ 6 × 13 × k = 312 ⇒ k = 4. MANAGEMENT APTITUDE TEST AT A GLANCE ∴ Numbers are 24 and 52. ∴ Sum = 24 + 52 = 76 5a + 3b 23 = 45. (4) : 2a − 3b 5 ⇒ 25a + 15b = 46a – 69b ⇒ 21a = 84b ⇒ a = 4b a 4 = b 1 46. (2) : The event “Total score is a prime number when two dice are tossed” occurs in the following 15 ways : (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5). ∴ Required probability ⇒ = 47. (3) : 6 15 5 = 36 12 C4 ways, i.e. 6 C2 ways, i.e. 6×5 = 15 ways 2×1 48. (4) : The numbers at even places form an A.P., e.g. 48, 50, 52, ..... 49. (4) : A travels 500 miles in 10 hours 10 minutes, i.e. 10 1 hours. 6 ∴ Average Speed 500 500 × 6 = = 10 16 61 3000 = 49.18 ≈ 50 61 50. (2) : Let the C.P. be Rs. k. = ∴ S.P. = k + 10% of k = ∴ k – 10% of k = 11 k 10 11 k − 40 10 7 ⇒ 55. (4) : 9k 11 k = − 40 10 10 2k = 40 10 ⇒ k = 200 51. (1) : Let money invested at 5% be Rs. k. TV 40 ⇒ ∴ k × 1× 5 (10000 − k ) × 1 × 8 + 100 100 = 688.25 ⇒ 5k – 8k + 80000 = 68825 ⇒ 3k = 11175 ⇒ k = 3725 52. (1) : C 13 5 xy yk = ⇒ k = x 100 100 57. (None) : (A + B + C)’s one day’s work ∴ B 12 For a right-angled triangle ABC given above, BC2 = AC2 – AB2 ⇒ BC = 5 ∴ Area of ∆ABC 1 = × AB × BC = 30 2 53. (3) : 1 1 1 1+ 2 + 3 + + = 18 9 6 18 1 3 (A + B)’s one day’s work = = 1 1 1+ 2 1 + = = 18 9 18 6 10 m (A + B)’s 2 days’ work = 1 m 9 m Area of the path = π × 102 – π × 92 = π(100 – 81) = 19π 54. (3) : .08% of k = 2, say ⇒ .08 200 k = 2 ⇒ k = 100 .08 200 × 100 ⇒ k = = 2500 8 8 Newspaper 15 80% of the people either watched TV or read newspaper. ∴ 20% neither watched TV nor read newspaper. 56. (1) : x% of y = y% of k, say = A 25 1 3 Remaining 2 3 of the work is finished by A, B and C together in 2 days. ∴ Total number of days taken to finish the work = 4 58. (3) : Let a be the side of the cube. ∴ 6a2 = 150 ⇒ a = 5 ∴ Length of the diagonal of the cube = a2 + (Diagonal of the face of the cube)2 = a 2 + a 2 + a2 = 3a = 5 3 MANAGEMENT APTITUDE TEST AT A GLANCE 59. (4) : − * 9 256 81 × = − − +1 7 7 49 49 ⇒ – * × 9 = –256 – 81 + 49 ⇒ * = 32 60. (3) : Let r be the radius of the circle. ∴ 2πr ≈ r2 ⇒ 2r ≈ r2 ⇒ r ≈ 2 ⇒ 2r ≈ 4 ⇒ Diameter ≈ 4 61. (1) : Consumption per day = 6 × 40 × 5 + 3 × 80 × 10 = 1200 + 2400 = 3600 watt = 3.6 kilowatt Consumption in a month = 3.6 × 30 = 108 kilowatt ∴ Monthly bill = 108 × 2 = Rs. 216 62. (2) : Let salary of the driver be Rs. k. Therefore, income from 5 k 4 Therefore, total income 5 9k = k + k = 4 4 tips = Rs. ⇒ 9k 5 5 k of = 4 4 9 5 of total income 9 = Income from tips 63. (2) : C.P. = Rs. C ⇒ Profit = 25% of C = S.P. = C + If C 4 C 5C = 4 4 C = 50% profit, then 4 MANAGEMENT APTITUDE TEST AT A GLANCE Capital Gains Tax C C = 4 8 64. (2) : Given expression = (1 – x) (1 + x) (1 + x2) (1 + x4) (1 + x8) 2 = (1 – x ) (1 + x2) (1 + x4) (1 + x8) 4 = (1 – x ) (1 + x4) (1 + x8) = (1 – x8) (1 + x8) = 1 – x16 65. (3) : C = 50% of D 90° B AC = 2AD 2 A 2 BC – BD (AB2 + AC2) – (AB2 + AD2) AC2 – AD2 (AC + AD) (AC – AD) (2AD + AD) (2AD – AD) = 3AD2 66. (2) : Let x be the angle. ∴ x = 90 – x ⇒ x = 45° 67. (3) : If the equation ax2 + bx + c = 0 has real roots, then b2 – 4ac > 0. (1) ⇒ b2 – 4ac = 16 – 60 < 0 (2) ⇒ b2 – 4ac = 1 – 16 < 0 (3) ⇒ 2x2 – 7x + 5 = 0 ⇒ b2 – 4ac = 49 – 40 = 9 > 0 (4) ⇒ b2 – 4ac = 9 – 32 < 0 68. (3) : Perimeter of the circle = = = = 22 × 35 = 220 cm 7 ∴ Side of the Rhombus = 55 cm 69. (1) : nth term of a G.P. = ar n – 1 where a = first term and r is the common ratio. = 2× 9 ∴ 8th term = 5 × (2)7 = 5 × 128 = 640 70. (4) : In 100 cc solution, quantity of baric acid = 80 cc and quantity of water = 20 cc. Suppose x litres of water be added to make the solution 50%. ∴ 50%(100 + x) = 80 ⇒ x = 60 P +1 P + Q 7 +1 Q = = 71. (1) : P − Q P 7 −1 −1 Q they should be 1000 miles apart, 1 minute before impact. 77. (1) : Let cost of beer = Rs. x/bottle ∴ cost of lager = Rs. 2x/bottle ∴ A spent Rs. 4x and B spent Rs. 2x. C paid Rs. 50. ∴ Cost of Lager = Rs. 50 per bottle Cost of beer = Rs. 12.50 per bottle 78. (2) : P 15 8 4 = 6 3 72. (4) : Let x, y be the numbers. 5 M 12 = ∴ Total number of students in the class = 15 + 5 + 12 + 10 = 42 x + y ∴ = 5 2 and xy = 4 ⇒ xy = 16 79. (2) : ∴ x + y = 10, xy = 16 ⇒ (x – y)2 = (x + y)2 – 4xy = 100 – 64 = 36 ⇒ x – y = 6 ∴ x = 8, y = 2 73. (4) : Suppose X = k% of ⇒ X = 4 X 5 k 4 × X ⇒ k = 125 100 5 74. (2) : 117649 = 7 × 7 × 7 × 7 ×7×7 ∴ 3 10 ∴ Samachar 50 – x 56 × 40 + ( x − 40 ) 35 × 56 3 × = 88 35 2 3    40 + 2 x − 60  = 88   ⇒ 56 35 ⇒ 3 88 × 35 x = + 20 = 75 2 56 658503 = 3 × 29 = 87 76. (2) : Because they cover 60000 miles in 60 minutes, i.e. 1000 miles in one minute, therefore, x ∴ (40 – x) + x + (50 – x) = 75 ⇒ x = 15 80. (None) : Let the worker worked for x hours. 117649 = 7 × 7 × 7 = 343 75. (3) : 658503 = 3 × 3 × 3 × 24389 = 3 × 3 × 3 × 29 × 29 × 29 ∴ Times 40 – x ⇒ x = 50 MANAGEMENT APTITUDE TEST AT A GLANCE