Management Aptitude Test (December 2000)
lượt xem 41
download
Management Aptitude Test (December 2000)
All India Management Aptitude Testing Service (AIMATS) Section I : Language Comprehension Directions Directions (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. ...
Bình luận(0) Đăng nhập để gửi bình luận!
Nội dung Text: Management Aptitude Test (December 2000)
 Management Aptitude Test December 2000 All India Management Aptitude Testing Service (AIMATS) Section I : Language Comprehension Directions (Qs. 1 to 5) : Read the Directions 1. What is the main objective of this passage given below carefully and then passage ? answer these questions based on what (1) Distinguish between human beings is stated or implied in the passage. and animals Anxiety and conscience are a pair of (2) Project curiosity as a potent powerful dynamos. Of course, I can only motivating factor speak for myself. Between them, they (3) Project anxiety and conscience as have ensured that one shall work hard, inadequate motivators but they cannot ensure that one shall (4) Motivation and spiritual reality work at anything worthwhile. They are 2. A characteristic peculiar to human blind forces which drive but do not beings that is referred to is (1) Superior intelligence direct. Fortunately, I have also been (2) Spirit of enquiry moved by a third motive—the wish to (3) Capacity to rationalise and see and understand. Curiosity is another analyse motive for action. It is also one of the (4) Ability to sift the practical from distinctive characteristics of human the impractical nature and contrasted with the natures 3. Which of the following statements of nonhuman animals. All human beings is true according to the passage ? have curiosity in some degree and we (1) Animals are as curious as human also all have it about things which are beings of no practical use. (2) Curiosity is the only motive for Curiosity may be focussed on anything action in the universe, but the spiritual reality (3) People motivated by curiosity do of the phenomena should be the ultimate not need other motives to guide objective of all curiosity for it to be them fruitful. Thanks to my mother my (4) People motivated by anxiety and approach to this ultimate objective is conscience alone can be through the story of human affairs. misdirected MANAGEMENT APTITUDE TEST AT A GLANCE 1
 4. According to the author 6. Caterpillars cannot defend (1) Those who have little curiosity are themselves because they curious about unimportant things (1) Are passive animals (2) Apart from humans no other living (2) Are lazy beings have the gift of curiosity (3) Cannot acquire weapons (3) The highest form of curiosity can (4) Have no claws or jaws be satisfied by study of human 7. The expression ‘other equally affairs alone. effective deterrents’ means (4) Spiritual reality is the ultimate goal (1) Preventive weapons which have of humans through action equal effect on others 5. The author subscribes to the view (2) Mechanism which scares everyone (1) One’s curiosity should focus beyond equally well the facade on the latent meaning of (3) Preventive equipment which is as things effective as something that has (2) Curiosity is an inherited family been already mentioned characteristic (4) Deterrents that are as powerful as (3) A study of human affairs is the those the caterpillars have. most effective method of satisfying 8. The Himalayan caterpillar uses one’s curiosity prominent colours to (4) In order to motivate, curiosity must (1) Warn the predator be coupled with anxiety and (2) Attack the predator conscience (3) Reveal itself Directions (Qs. 6 to 10) : Read the (4) Defend itself passage given below and then answer 9. Experienced birds do not attack these questions which are based on what the Himalayan caterpillar because they is stated or implied in the passage. are Softbodied animals like caterpillars (1) Repulsive (2) Inedible often fall a prey to voracious hunters like (3) Aggressive (4) Diseased birds or reptiles. Despite having no means 10. In the context of the passage, a to ‘actively’ defend themselves, with martyr is one who dies weapons like claws or jaws, they have, (1) Without putting up resistance nevertheless, evolved other equally (2) Without any gain to oneself effective deterrents. A particular species (3) While defending one’s homeland of the caterpillar lives at an altitude of (4) To save others over 2,500 metres in the Himalayas. It Directions (Qs. 11 to 16) : In these uses prominent colours to inform would questions, choose the word from the four be predators of its inedibility. In the event alternatives alternatives (1), (2), (3) and (4) that is that an inexperienced or adventurous most nearly similar in meaning to the bird did eat the caterpillar, it would word given in CAPITAL letters. word CAPITAL probably vomit it out soon after, and 11. REVULSION subsequently desist from attacking similar (1) Apathy (2) Violence species in the future. Though this would (3) Disgust (4) Avenge do the unfortunate victim no good, the 12. GRIT species benefits. A rare example of the (1) Bold (2) Courage martyr among animals. (3) Grease (4) Level 2 MANAGEMENT APTITUDE TEST AT A GLANCE
 13. SALACIOUS 23. If you do not ........, all your (1) Obscene (2) Wise monthly expenses would exceed your (3) Wholesome (4) Confident income. 14. CLOUT (1) Economise (2) Spend (1) Fear (2) Claw (3) Save (4) Splurge (3) Joke (4) Power 24. The magician .................. the 15. FOMENT rabbit into a pigeon. (1) Instigate (2) Shield (1) Transformed (2) Transfigured (3) Frustrate (4) Waver (3) Converted (4) Made 16. REPERCUSSION 25. The cost of this operation has (1) Reaction (2) Acceptance .................... our small store of money. (3) Resistance (4) Magnificence (1) Destroyed (2) Damaged Directions (Qs. 17 to 22) : In these (3) Depleted (4) Affected questions, choose the word from the four 26. He had taken the shocking news alternatives quietly, neither ................... fate nor alternatives (1), (2), (3) and (4) that is uttering any word of bitterness. most nearly opposite in meaning to the (1) Submitting to (2) Railing against word CAPITAL word given in CAPITAL letters. (3) Conspiring with (4) Dissenting from 17. COMPASSIONATE 27. The greater ..................... increase (1) Indecisive (2) Unsympathetic in population, the harder it is for people (3) Unlawful (4) Untrustworthy to find adequate housing. 18. RESTIVE (1) Of (2) The (1) Buoyant (2) Placid (3) Is the (4) Is of the (3) Resistant (4) Insolent 28. Capitalist society ....................... 19. GRADUAL profit as a valued goal. (1) Energetic (2) Dynamic (1) Which regards (2) Regarded (3) Rapid (4) Enthusiastic (3) Was regarded (4) Regards 20. RUDIMENTARY Directions (Qs. 29 to 34) : In these (1) Developed (2) Polite questions, each sentence has four under under (3) Pale (4) Weak lined words or phrases marked A, B, C 21. SALVAGE and D. Choose the one that must be (1) Burn (2) Remove changed to make the sentence correct. (3) Confuse (4) Lose 29. Many psychologists today suggest 22. SEDENTARY (A)/ that we interpret dreams by (1) Vivid (2) Afraid compare (B)/ the dreams with (C)/ the (3) Indolent (4) Active reality of each person’s (D)/ life. Directions (Qs. 23 to 28) : In these (1) A (2) B (3) C (4) D questions, each sentence has a blank 30. When (A)/ I came home, the (B)/ indicating that something has been children still didn’t finish (C)/ dinner. (D) omitted. Beneath each sentence, four (1) A (2) B (3) C (4) D alternatives are alternatives (1), (2), (3) and (4) are given. 31. He would (A)/ never have taken Choose the word or set of words for each the job if he had been knowing (B)/ what blank that best fits in the blank without great demands (C)/ it would make (D)/ changing the meaning of the sentence on his time. as a whole. (1) A (2) B (3) C (4) D MANAGEMENT APTITUDE TEST AT A GLANCE 3
 32. Schools in India can be (3)Doe : Stag supported (A)/ either by government (4)Horse : Bridle budgets (B)/ and (C)/ by private 38. Torch : Liberty : : foundations. (D) (1)Laws : Court (1) A (2) B (2)Scales : Justice (3) C (4) D (3)Balance : Equity 33. Delhi is definitely (A)/ one of (4)Weights : Measure the (B)/ most large (C)/ cities (D)/ in 39. Greenhouse : Plant : : the world. (1)Incubator : Infant (1) A (2) B (2)Hen house : Chicken (3) C (4) D (3)Hive : Bee 34. Both (A)/ personality and external (4)Archives : Document looking (B)/ vary (C)/ greatly even 40. Whisper : Speak : : among (D)/ brothers and sisters. (1)Listen : Bear (1) A (2) B (2) Request : Ask (3) C (4) D (3)Brush : Touch Directions (Qs. 35 to 40) : In each of (4) Heat : Chill questions, these questions, a related pair of words is followed by four pairs of words (1), ANSWERS (4). (2), (3) and (4). Choose the pair that 1. (4) 2. (2) 3. (4) 4. (4) best expresses a relationship similar to 5. (4) 6. (4) 7. (3) 8. (4) expressed pair. that expressed in the original pair. 9. (2) 10. (4) 11. (3) 12. (2) 35. Treasure : Chest : : 13. (1) 14. (4) 15. (1) 16. (1) (1) Money : Account 17. (2) 18. (1) 19. (3) 20. (1) (2) Coins : Mint 21. (1) 22. (4) 23. (3) 24. (1) (3) Finance : Exchequer 25. (3) 26. (2) 27. (3) 28. (4) (4) Cash : Vault 29. (2) : It should be ‘comparing’. 36. Wool : Warmth : : 30. (3) : It should be ‘hadn’t finished’ (1) Radio : Broadcast 31. (2) : It should be ’known’. (2) Person : Success 32. (3) : It should be ‘or’. (3) Marketing : Advertising 33. (3) : It should be ‘largest’. (4) Spring : Elasticity 34. (4) : It should be ‘between’. 37. Goose : Gander : : 35. (4) 36. (4) 37. (3) 38. (2) (1)Dog : Pup (2) Sheep : Flock 39. (1) 40. (2) Section II : Mathematical Skills 41. Father’s age is 4 times that of his What is his commission if he puts in 60 son. 5 years back, it was 7 times. His age hours during the sale ? now is (1) 390 (2) 540 (3) 600 (4) 640 (1) 30 (2) 35 (3) 40 (4) 45 43. What is the next number in the 42. A salesman averages Rs. 240 series given below ? during a normal 40hour week. During 2, 5, 9, 14, 20 a sale, his rates are increased by 50%. (1) 25 (2) 26 (3) 27 (4) 28 4 MANAGEMENT APTITUDE TEST AT A GLANCE
 44. If two numbers are in the ratio 52. A rightangled triangle has a 6 : 13 and their least common multiple hypotenuse of 13 cm and one side of is 312, then the sum of the numbers is 12 cm. Its area is (1) 75 (2) 57 (3) 76 (4) 67 (1) 30 (2) 39 (3) 80 (4) 78 5a + 3b 23 53. A circular park of 20metre 45. If = , then the value diameter has a circular path just inside 2a − 3b 5 the boundary of width 1 metre. The area of a : b is of the path is (1) 2 : 1 (2) 1 : 4 (1) 15π (2) 17π (3) 1 : 2 (4) 4 : 1 (3) 19π (4) 25π 46. Two dice are tossed. The probability 54. An inspector rejects .08% of the that the total score is a prime number meters as defective. How many will he is examine to reject 2 ? 1 5 1 7 (1) 200 (2) 250 (1) (2) (3) (4) 6 12 2 9 (3) 2500 (4) 3000 47. In how many ways can six different 55. In a survey, it was found that rings be worn on four fingers of one 65% of the people watched news on hand ? TV, 40% read in newspaper, 25% read (1) 10 (2) 12 newspaper and watched TV. What (3) 15 (4) 16 percentage of people neither watched 48. What is the next number in the TV nor read newspaper ? series given below ? (1) 0% (2) 5% 53, 48, 50, 50, 47 (3) 10% (4) 20% (1) 51 (2) 46 56. x% of y is y% of (3) 53 (4) 52 y x 49. A travels from B to C a distance (1) x (2) (3) (4) 100x 100 100 of 250 miles in 5.5 hours. He returns to 57. A can do a work in 18 days, B B in 4 hours 40 minutes. His average in 9 days and C in 6 days. A and B speed is start working together and after 2 days (1) 44 (2) 46 C joins them. What is the total number (3) 48 (4) 50 of days taken to finish the work ? 50. A machine is sold at a profit of (1) 4.33 (2) 4.5 10%. Had it been sold for Rs. 40 less, (3) 4.66 (4) 5.33 there would have been a loss of 10%. 58. The surface area of a cube is 150 What was the cost price ? sq cm. What is the length of its diagonal (1) Rs. 175 (2) Rs. 200 in cm ? (3) Rs. 225 (4) Rs. 250 5 3 51. I derive an annual income of (1) 5 (2) (3) 5 3 (4) 5 2 2 Rs. 688.25 from Rs. 10,000 invested 59. What is the missing figure in the partly at 8% p.a. and partly at 5% p.a. expression given below ? simple interest. How much of my money is invested at 5% ? 16 16 ∗ 9 9 9 × − × + × = 1 (1) Rs. 3,725 (2) Rs. 4,225 7 7 7 7 7 7 (3) Rs. 4,800 (4) Rs. 5,000 (1) 1 (2) 7 (3) 4.57 (4) 32 MANAGEMENT APTITUDE TEST AT A GLANCE 5
 60. If the circumference and the area 68. A wire is in the form of a circle of a circle are numerically equal, then of radius 35 cm. If it is bent into the what is the numerical value of the shape of a rhombus, what is the side of diameter ? the rhombus ? (1) 1 (2) 2 (3) 4 (4) π (1) 32 cm (2) 70 cm 61. In a house, there are six 40watt (3) 55 cm (4) 17 cm lamps which are on for 5 hours a day 69. In a G.P., the first term is 5 and and three 80watt fans which are on for the common ratio is 2. The eighth term 10 hours a day. If electricity costs Rs. 2 is per kilowatt hour, what is the monthly (1) 640 (2) 1280 electricity bill ? (3) 256 (4) 160 (1) Rs. 216 (2) Rs. 280 70. How much water must be added (3) Rs. 315 (4) Rs. 400 to 100 cc of 80% solution of boric acid 62. A driver’s income consists of his to reduce it to a 50% solution ? salary and tips. During one week his (1) 30 (2) 40 tips were 5/4 of his salary. What (3) 50 (4) 60 fraction of his income came from tips ? P + Q (1) 4/9 (2) 5/9 71. What is the value of if P − Q (3) 5/8 (4) 5/4 P 63. A house costs C rupees. Later it = 7? was sold for a profit of 25%. What is Q the capital gains tax if it is 50% of the 4 2 2 7 (1) (2) (3) (4) profit ? 3 3 6 8 (1) C/24 (2) C/8 72. If the arithmetic mean of two (3) C/4 (4) C/2 numbers is 5 and geometric mean is 4, 64. What is the value of the following then the numbers are expression ? (1) 4, 6 (2) 4, 7 (1 + x) (1 + x2) (1 + x 4 ) (1 + x8) (1 – x) (3) 3, 8 (4) 2, 8 (1) 1 + x16 (2) 1 – x16 73. X is what percent of 4/5th of 16 (3) x – 1 (4) x8 + 1 X ? 65. In a triangle ABC, ∠A = 90° (1) 75 (2) 80 and D is midpoint of AC. The value of (3) 120 (4) 125 BC2 – BD2 is equal to 74. Square root of 117649 is (1) AD2 (2) 2AD2 (1) 347 (2) 343 (3) 3AD 2 (4) 4AD2 (3) 353 (4) 357 66. If an angle is its own comple 75. Cube root of 658503 is mentary angle, then its measure is (1) 83 (2) 77 (1) 30 (2) 45 (3) 87 (4) 97 (3) 60 (4) 90° 76. Two rockets approach each other, 67. Which of the following equations one at 42,000 mph and the other at has real roots ? 18,000 mph. They start 3256 miles (1) 3x2 + 4x + 5 = 0 apart. How far are they apart (in miles) (2) x2 + x + 4 = 0 1 minute before impact ? (3) (x – 1) (2x – 5) = 0 (1) 1628 (2) 1000 (4) 2x2 – 3x + 4 = 0 (3) 826 (4) 1200 6 MANAGEMENT APTITUDE TEST AT A GLANCE
 77. A bought 4 bottles of beer and B ∴ Numbers are 24 and 52. bought one bottle of lager, lager per ∴ Sum = 24 + 52 = 76 bottle costing twice that of the beer. C 5a + 3b 23 bought nothing but paid Rs. 50 for his 45. (4) : = 2a − 3b 5 share of the drink which they mixed ⇒ 25a + 15b = 46a – 69b together and shared equally. If C’s ⇒ 21a = 84b ⇒ a = 4b Rs. 50 covered his share, then what is the cost of the lager ? a 4 ⇒ = (1) 50 (2) 75 (3) 30 (4) 46 b 1 78. In a class, 20 opted for Physics, 46. (2) : The event “Total score is a 17 for Maths, 5 for both and 10 for prime number when two dice other subjects. The class contains how are tossed” occurs in the many students ? following 15 ways : (1, 1), (1) 35 (2) 42 (1, 2), (1, 4), (1, 6), (2, 1), (3) 52 (4) 60 (2, 3), (2, 5), (3, 2), (3, 4), 79. In a community of 175 persons, (4, 1), (4, 3), (5, 2), (5, 6), 40 read the Times, 50 read the Samachar (6, 1), (6, 5). and 100 do not read any. How many ∴ Required probability persons read both the papers ? 15 5 (1) 10 (2) 15 = = (3) 20 (4) 25 36 12 80. A worker is paid Rs. 56 for 35 47. (3) : 6 C4 ways, i.e. 6 C2 ways, i.e. hour week. Upto 40 hours, he is paid at the normal rate and on overtime, 1.5 6×5 = 15 ways times the normal. How many hours did 2×1 he work to get Rs. 88 ? 48. (4) : The numbers at even places (1) 48 (2) 52 form an A.P., e.g. 48, 50, (3) 58 (4) 55 52, ..... 49. (4) : A travels 500 miles in 10 hours ANSWERS 1 41. (3) : F = 4S, (F – 5) = 7 (S – 5) 10 minutes, i.e. 10 hours. 6 ⇒ F = 40, S = 10 ∴ Average Speed 42. (2) : Rate is increased from Rs. 6 500 500 × 6 per hour to Rs. 9 per hour. = = 43. (3) : The sequence in the given 10 16 61 series is + 3, + 4, + 5, + 6, + 7. 3000 44. (3) : Let the numbers be 6k and = = 49.18 ≈ 50 61 13k. 50. (2) : Let the C.P. be Rs. k. L.C.M. = 312 L.C.M. of 6k and 13k 11 k ∴ S.P. = k + 10% of k = = 6 × 13 × k 10 ∴ 6 × 13 × k = 312 11 k ⇒ k = 4. ∴ k – 10% of k = − 40 10 MANAGEMENT APTITUDE TEST AT A GLANCE 7
 9k 11 k 55. (4) : ⇒ = − 40 10 10 News TV 25 paper 2k 40 ⇒ = 40 15 10 ⇒ k = 200 51. (1) : Let money invested at 5% be Rs. k. 80% of the people either k × 1× 5 (10000 − k ) × 1 × 8 watched TV or read news ∴ + 100 100 paper. = 688.25 ∴ 20% neither watched TV ⇒ 5k – 8k + 80000 = 68825 nor read newspaper. ⇒ 3k = 11175 ⇒ k = 3725 56. (1) : x% of y = y% of k, say 52. (1) : xy yk C ∴ = ⇒ k = x 100 100 13 57. (None) : (A + B + C)’s one day’s 5 work 1 1 1 1+ 2 + 3 = + + = A 18 9 6 18 12 B 1 For a rightangled triangle = ABC given above, 3 BC2 = AC2 – AB2 ⇒ BC = 5 (A + B)’s one day’s work ∴ Area of ∆ABC 1 1 1+ 2 1 1 = + = = = × AB × BC = 30 18 9 18 6 2 53. (3) : 1 (A + B)’s 2 days’ work = 3 m 10 Remaining 2 3 of the work is 1 m finished by A, B and C together in 2 days. 9 m ∴ Total number of days taken to finish the work = 4 Area of the path 58. (3) : Let a be the side of the cube. = π × 102 – π × 92 ∴ 6a2 = 150 ⇒ a = 5 = π(100 – 81) = 19π ∴ Length of the diagonal of 54. (3) : .08% of k = 2, say the cube .08 200 = a2 + (Diagonal of the face of the cube)2 ⇒ k = 2 ⇒ k = 100 .08 200 × 100 = a 2 + a 2 + a2 ⇒ k = = 2500 8 = 3a = 5 3 8 MANAGEMENT APTITUDE TEST AT A GLANCE
 * 9 256 81 Capital Gains Tax 59. (4) : − × = − − +1 7 7 49 49 C C = 50% of = ⇒ – * × 9 = –256 – 81 + 49 4 8 ⇒ * = 32 64. (2) : Given expression 60. (3) : Let r be the radius of the = (1 – x) (1 + x) (1 + x2) circle. (1 + x4) (1 + x8) = (1 – x ) (1 + x2) 2 ∴ 2πr ≈ r2 ⇒ 2r ≈ r2 (1 + x4) (1 + x8) ⇒ r ≈ 2 ⇒ 2r ≈ 4 = (1 – x ) (1 + x4) (1 + x8) 4 ⇒ Diameter ≈ 4 = (1 – x8) (1 + x8) = 1 – x16 61. (1) : Consumption per day 65. (3) : C = 6 × 40 × 5 + 3 × 80 × 10 = 1200 + 2400 = 3600 watt = 3.6 kilowatt D Consumption in a month 90° = 3.6 × 30 = 108 kilowatt B AC = 2AD A ∴ Monthly bill = 108 × 2 2 2 = Rs. 216 BC – BD 62. (2) : Let salary of the driver be = (AB2 + AC2) – (AB2 + AD2) = AC2 – AD2 Rs. k. Therefore, income from = (AC + AD) (AC – AD) 5 = (2AD + AD) (2AD – AD) tips = Rs. k 4 = 3AD2 Therefore, total income 66. (2) : Let x be the angle. 5 9k ∴ x = 90 – x ⇒ x = 45° = k + k = 67. (3) : If the equation ax2 + bx + c 4 4 = 0 has real roots, then 5 9k 5 b2 – 4ac > 0. ⇒ of = k 9 4 4 (1) ⇒ b2 – 4ac = 16 – 60 < 0 (2) ⇒ b2 – 4ac = 1 – 16 < 0 5 ⇒ of total income (3) ⇒ 2x2 – 7x + 5 = 0 9 ⇒ b2 – 4ac = 49 – 40 = 9 > 0 = Income from tips (4) ⇒ b2 – 4ac = 9 – 32 < 0 63. (2) : C.P. = Rs. C 68. (3) : Perimeter of the circle C 22 Profit = 25% of C = = 2× × 35 = 220 cm 4 7 C 5C ∴ Side of the Rhombus S.P. = C + = = 55 cm 4 4 69. (1) : nth term of a G.P. = ar n – 1 C where a = first term and r is If = 50% profit, then 4 the common ratio. MANAGEMENT APTITUDE TEST AT A GLANCE 9
 ∴ 8th term = 5 × (2)7 they should be 1000 miles = 5 × 128 = 640 apart, 1 minute before impact. 70. (4) : In 100 cc solution, quantity 77. (1) : Let cost of beer = Rs. x/bottle of baric acid = 80 cc and ∴ cost of lager = Rs. 2x/bottle quantity of water = 20 cc. ∴ A spent Rs. 4x and B spent Suppose x litres of water be Rs. 2x. C paid Rs. 50. added to make the solution ∴ Cost of Lager 50%. = Rs. 50 per bottle ∴ 50%(100 + x) = 80 Cost of beer ⇒ x = 60 = Rs. 12.50 per bottle P 78. (2) : +1 P + Q Q 7 +1 = = 71. (1) : P − Q P 7 −1 −1 P M Q 15 5 12 8 4 = = 6 3 72. (4) : Let x, y be the numbers. ∴ Total number of students in x + y the class ∴ = 5 2 = 15 + 5 + 12 + 10 = 42 79. (2) : and xy = 4 ⇒ xy = 16 ∴ x + y = 10, xy = 16 Times Samachar ⇒ (x – y)2 = (x + y)2 – 4xy 40 – x x 50 – x = 100 – 64 = 36 ⇒ x – y = 6 ∴ x = 8, y = 2 4 ∴ (40 – x) + x + (50 – x) = 75 73. (4) : Suppose X = k% of X 5 ⇒ x = 15 80. (None) : Let the worker worked k 4 ⇒ X = × X ⇒ k = 125 for x hours. 100 5 74. (2) : 117649 = 7 × 7 × 7 × 7 ∴ 56 × 40 + ( x − 40 ) ×7×7 35 ∴ 117649 = 7 × 7 × 7 = 343 56 3 75. (3) : 658503 × × = 88 35 2 = 3 × 3 × 3 × 24389 = 3 × 3 × 3 × 29 × 29 × 29 56 3 ⇒ 40 + 2 x − 60 = 88 ∴ 3 658503 = 3 × 29 = 87 35 76. (2) : Because they cover 60000 3 88 × 35 ⇒ x = + 20 = 75 miles in 60 minutes, i.e. 1000 2 56 miles in one minute, therefore, ⇒ x = 50 10 MANAGEMENT APTITUDE TEST AT A GLANCE
 Section III : Data Analysis And Data Sufficiency Directions (Qs. 81 to 84) : Directions (Qs. 85 to 88) : Study the These questions refer to the following circle table given below and answer these graph showing the expenditure questions : certain distribution of a certain family : INVESTMENTS IN PUBLIC SECTOR EXPENDITURE DISTRIBUTION OF A (Rs. crores) CERT FAMIL AMILY CERTAIN FAMILY Name of the Enterprise Investments as on 31398 31399 1. Steel Authority 5,933 6,305 of India (SAIL) 2. Coal India 4,730 5,541 3. National Thermal 3,119 4,520 Rent 20% Food 30% Power Commission (NTPC) 4. Oil & Natural Gas 2,432 2,860 Miscellaneous Commission (ONGC) Entertainment Tr 5% 5. Rural Electrification 1,522 1,830 10% an sp Corporation (REC) or t8 6. National Textile 933 1,050 Clothing % Corporation (NTC) 15% Taxes 12% 18,669 22,108 85. Comparatively, the percentage increase in investment in the year 81. If the family spends Rs. 6,500 ending 31st March ’99, was the least per month, how much are its annual in the case of taxes ? (1) NTC (2) REC (1) Rs. 7,800 (2) Rs. 9,360 (3) SAIL (4) ONGC (3) Rs. 9,800 (4) Rs. 10,080 86. The percentage increase in invest 82. How many degrees should there ment was nearly equal in the case of be in the central angle showing clothing, (1) Coal India & ONGC taxes and transportation combined ? (2) Coal India & SAIL (1) 100 (2) 110 (3) 120 (4) 126 (3) SAIL & NTC 83. How much more money per month (4) ONGC & NTPC is spent by the family on food as compared 87. The increase in investment in to the rent ? NTPC was more than twice to that in (1) Rs. 650 (2) Rs. 700 (1) NTC (2) Coal India (3) Rs. 750 (4) Rs. 800 (3) REC (4) ONGC 84. If the expenditure budget of the 88. As compared to the investments family is raised to Rs. 8,000 per month for the year ending 31st March, 1998, and distribution on various items remain the total investments in all the six the same, then the monthly expenses on enterprises for the year ending 31st both, the entertainment and the transport, March, 1999 exceeded approximately will be by (1) Rs. 1,800 (2) Rs. 1,600 (1) 10% (2) 15% (3) Rs. 1,440 (4) Rs. 1,220 (3) 18% (4) 20% MANAGEMENT APTITUDE TEST AT A GLANCE 11
 Directions (Qs. 89 to 92) : These (2) 3,39,50,000 questions are based on the following (3) 4,50,00,000 graphs : (4) None of these 91. Which of the following earned 17.9% the least amount of money for the Bluechip investment portfolio ? Stocks Total (1) Municipal Bonds 24.9% 48.3% Investment (2) Stateissued Bonds Mutual Govt. Funds Bonds & Profile (3) Government Bonds & Securities Securities (4) Cannot be determined from the 8.9% High given information Risk 92. Which of the following was the Stocks greatest ? (1) The amount of money invested in Municipal Bonds which yielded 56% between 7% and 9% 26% Govt. Bonds Stateissued Municipal Bonds (2) The amount of money invested in & Securities Bonds Stateissued Bonds. (3) The amount of money invested in 18% Treasury High Risk Stock Notes (4) The amount of money invested in Municipal Bonds which yielded over 9% 17% at Directions (Qs. 93 to 96) : Study the Yield 65% at following table to answer these 17.9% 7% – 9% Municipal questions. Yield 18% at Bonds PUBLIC PLANWISE PUBLIC SECTOR Yield 20% OUTLAYS OUTLAYS AND EXPENDITURE (197479 TO 198590) (in Rs. Crores) FiveYear Period Approved Actual Plans Outlay Expenditure Total Investment Funds = Rs. 11 crore 5 lakh Fifth Plan 197479 39,303 39,426 Sixth Plan 198085 97,500 1,09,292 89. According to these graphs, approxi Seventh Plan 198590 1,80,000 — mately, how much money from the invest ment portfolio was invested in highrisk 93. Actual expenditure in the sixth stocks ? Plan exceeded the outlay by about (1) 9,00,000 (2) 10,10,000 (1) 10% (2) 17% (3) 98,000 (4) 6,00,000 (3) 23% (4) 30% 90. Approximately, how much money 94. Sixth Plan outlay exceeded the belonging to the investment portfolio was Fifth Plan outlay by almost invested in Stateissued bonds ? (1) 50% (2) 100% (1) 2,87,30,000 (3) 150% (4) 200% 12 MANAGEMENT APTITUDE TEST AT A GLANCE
 95. In the Fifth Plan, the expenditure (3) Rs. 48,27,000 exceeded the outlay by (4) Rs. 42,78,000 (1) 1% 99. What is the average monthly (2) 2% expenditure during the year 1999 (3) Less than 0.5% covering the period shown in the (4) Did not exceed graph ? 96. From the given table we can infer (1) Rs. 2,75,000 that the actual expenditure in the Seventh (2) Rs. 2,70,000 Plan will exceed the outlay by almost (3) Rs. 3,14,000 (1) 40% (2) 60% (4) Rs. 2,47,000 (3) 80% (4) Cannot infer 100. Which month has been the least Directions (Qs. 97 to 104) : Study expensive during 1999 ? the data presented in the following (1) June (2) April graph to answer these questions. MONTHLY MONTHLY EXPENDITURE OF A (3) May (4) July JANUARY FIRM FROM JANUARY TO JULY JULY 101. The expenditure in April 1999 DURING THE YEARS was ............... higher than that of 1993, 1994 & 1995 corresponding period in 1998. (1) 1.5% (2) 2% (3) 2.5% (4) 0.94% — Expenditure in ‘000 rupees — 330 102. The expenditure in May 1997 324 was .............. less than that of the 318 1999 corresponding period in 1999. (1) 3% (2) 2.5% 1998 312 (3) 1.5% (4) 2% 306 1997 103. The expenditure of May/ 300 June 1998 was ........... higher than that of the corresponding period during 0 1 2 3 4 5 6 7 1985. Jan. Feb. Mar. Apr. May June July (1) 3% (2) 3.5% (3) 2% (4) Zero 97. What is the total expenditure 104. Which of the following during the period under review statements is correct ? (7 months) in 1997 ? (1) Rs. 21,07,000 (1) In 1997, the expenditure was (2) Rs. 21,96,000 more in March than in January. (3) Rs. 21,54,000 (2) The expenditure in January 1999 (4) Rs. 2,12,4000 was equivalent to the expenditure 98. What total expenditure has in July 1998. been made during the year 1997 and (3) In 1999, the expenditure was less 1998 in the period covered in the than that of 1998. graph ? (4) The total expenditure in January (1) Rs. 42,87,000 1997 and 1999 was more than (2) Rs. 2,70,000 that in April 1997 and 1999. MANAGEMENT APTITUDE TEST AT A GLANCE 13
 Directions (Qs. 105 to 112) : Study 109. The slum population of Delhi the following char t to answer these chart was more than 3 times the slum questions. population of 199 Slum Population in Metropolis : 1991 (1) Hyderabad (2) Ahmedabad Slum Population (3) Bangalore (4) Chennai as percent % 110. The slum population of all the of total population seven cities nearly equalled the total Lakh population of Calcutta (1) Calcutta and Bangalore 35% 91.9 (2) Delhi and Chennai (3) Delhi and Hyderabad Mumbai 38% 82.4 (4) Mumbai and Ahmedabad 111. The ratio of slum population to Delhi 30% 57.3 total population in Calcutta is ........... times the same ratio in Bangalore. Chennai 32% 42.9 (1) 3 (2) 3.5 (3) 4 (4) 5 112. In terms of slum population, the second city with the least population was Ahmedabad 26% 25.5 (1) Delhi (2) Bangalore (3) Ahmedabad (4) Hyderabad Hyderabad 21% 25.5 Directions (Qs. 113 to 120) : These questions are followed by two statements Bangalore 10% 29.2 A and B. Choose (1) if the statement A alone is sufficient to answer the question 105. The total slum population of 105. asked, but the statement B by itself is Calcutta in 1991 was approximately not sufficient to answer the question. (1) 30 lakh (2) 31 lakh Choose (2) if the statement B alone by (3) 32 lakh (4) 33 lakh itself is sufficient to answer the given 106. The difference in the slum question, but statement A alone is not populations of Bangalore and sufficient to answer the question. Choose Hyderabad was (3) if both the statements A and B (1) 4.1 lakh (2) 3.71 lakh together are sufficient to answer the (3) 2.43 lakh (4) 2 lakh given question but neither statement by statement 107. The city with the highest slum question. itself is sufficient to answer the question. population was Choose (4) if the two statements A and (1) Mumbai (2) Calcutta together, are B, even when taken together, are not (3) Delhi (4) Chennai sufficient to answer the question. 108. Two cities with nearly equal slum 113. Is y larger than 1 ? population were A : y is greater than 0 (1) Ahmedabad & Hyderabad B : y2 – 4 = 0 (2) Delhi & Chennai 114. Is the integer x divisible by 3 ? (3) Hyderabad & Bangalore A : The last digit in x is 3 (4) Mumbai & Calcutta B : x + 5 is divisible by 6. 14 MANAGEMENT APTITUDE TEST AT A GLANCE
 115. How much is Mohan’s weekly digit is ‘b’ ? The number is greater salary ? than 9. A : Mohan’s weekly salary is A : The number is a multiple of twice as much as Sohan’s 51. weekly salary. B : The sum of the digits ‘a’ and B : Sohan’s weekly salary is ‘b’ is 6. 40% of the total of Ram’s and Mohan’s weekly ANSWERS salaries. 81. (2) : Taxes = 12% of Rs. 6500 116. What is the percentage of = Rs. 780 per month defective items produced in a factory ? = Rs. 9360 per month A : The total number of defective items produced is 1,234. 82. (4) : Clothing, taxes and trans B : The ratio of defective items portation combined are 35%. to nondefective is 32 to Now 100% = 360° 5,678. 360 ⇒ 35 % = × 35 = 126 117. How long will it take to travel 100 from A to B ? It takes 4 hours to travel 83. (1) : 10% of Rs. 6500 from A to B and back to A. = Rs. 650 per month A : It takes 25% more time to 84. (3) : 18% of Rs. 8000 = Rs. 1440 travel from A to B than it 85. (3) : Percent increase in investment : takes to travel from B to A. 372 For SAIL = 5933 × 100 = 6.27% B : C is midway between A and B and it takes 2 hours to 811 travel from A to C and back For Coal India = × 100 4730 to A. = 17.15% 118. How many square tiles with 1401 sides 5 inches long will be needed to For NTPC = × 100 3119 cover the rectangular floor of a room ? = 44.92% A : The floor is 10 feet long. 428 B : The floor is 5 feet wide. For ONGC = × 100 2432 119. A group of 49 consumers were = 17.60% offered a chance to subscribe to 3 308 magazines : A, B and C. 38 of the For REC = × 100 1522 consumers subscribed to atleast one of = 20.24% the magazines. How many of the 49 117 consumers subscribed to exactly two of For NTC = × 100 = 12.54% the magazines ? 933 86. (1) 87. (3) A : 12 of the 49 consumers 88. (3) : Investment in 199899 subscribed to all the three increased from 199798 by magazines. 22108 – 18669 = Rs. 3439 B : 20 of the 49 consumers subscribed to magazine A. crore 120. What is the twodigit number = 3439 × 100 = 18.42% ≈ 18% whose first digit is ‘a’ and the second 18669 MANAGEMENT APTITUDE TEST AT A GLANCE 15
 89. (None) : 8.9% of 11.05 crore 96. (4) : Actual Expenditure not given. 96. = 0.98345 crore 97. (4) : 306 + 300 + 300 + 306 = Rs. 9834500 + 300 + 306 + 306 90. (4) : Investment in Government = Rs. 2124 thousands Bonds & Securities 98. (4) : 2124 + 300 + 306 + 306 = 48.3% of 11.05 crore + 312 + 318 + 300 + 312 = Rs. 4278 thousands = 5.33715 crore = Rs. 53371500 99. (3) : 312 + 312 + 318 + 318 ∴ Investment in Stateissued + 306 + 312 + 318 Bonds 7 = 26% of Rs. 53371500 2196 = = 313714 = Rs. 13876590 7 91. (2) : In (1), Rs. 2.988804 crore ≈ Rs. 314000 In (2), Rs. 1.387659 crore 100. (3) In (3), Rs. 5.33715 crore 6 92. (1) : Investment in Municipal Bonds 101. (2) : × 100 = 1.92% ≈ 2% 312 = 56% of 53371500 (Q. 90) = 29888040 6 100 102. (4) : × 100 = ≈ 2% (1)Investment in Municipal 306 51 Bonds (7% – 9%) 103. (4) 104. (2) = 65% of 29888040 105.(3) : 35% of 91.9 = 32.165 105. = 19427226 ≈ 32 lakh (2)Investment in Stateissued 106. (3) : 21% of 25.5 – 10% of 29.2 Bonds = 13876590 (Q. 90) = 5.355 – 2.920 (3)Investment in High Risk = 2.435 lakh Stock = 9834500 (Q. 89) 107. (2) : Slum Population in (4)Investment in Municipal Calcutta = 32.165 lakh Bonds (above 9%) Mumbai = 31.312 lakh = 35% of 29888040 Delhi = 17.190 lakh Chennai = 13.728 lakh = 10460814 Ahmedabad= 6.630 lakh 109292 − 97500 Hyderabad = 5.355 lakh 93. (1) : × 100 97500 Bangalore = 2.920 lakh = 12% ≈ 10% 108. (4) 109. (1) 110. (4) : Slum Population (Total) 97500 − 39303 94. (3) : × 100 = 109.3 lakh 39303 Mumbai + Ahmedabad = 148% ≈ 150% = 107.9 lakh 39426 − 39303 32.165 2.92 95. (3) : × 100 111. (2) : Let = k × 39303 91.9 29.2 = .31% < 0.5% ⇒ k = 3.5 16 MANAGEMENT APTITUDE TEST AT A GLANCE
 112. (4) 2 4 113. (3) : A ⇒ y > 0 = Ram + Sohan 5 5 B ⇒ y > 2 (y = –2 is ruled out by A) 1 2 ⇒ Sohan = Ram 114. (3) : 23 is not divisible by 3. 5 5 If x + 5 is divisible by 6, ⇒ Sohan = 2 × Ram then x is not divisible by 3, ∴ Mohan = 4 × Ram 116. (2) e.g. 36 is divisible by 6, but 31 is not divisible by 3. 7 117. (1) : 1 hours from A to B and 115. (4) : Mohan = 2 Sohan 9 Sohan = 40% of (Ram + Mohan) 2 2 hours from B to A. 2 9 = of (Ram + Mohan) 118. (3) 5 119. (4) : 11 consumers did not 2 2 subscribe to any magazine. = Ram + Mohan 5 5 120. (3) : 51 itself is the number. Section IV : Intelligence & Critical Reasoning (Qs. Directions (Qs. 121 to 127) : Read (1) Dalbir, Eric and Monty the following statements to answer these (2) Dalbir, Eric and Farid questions : (3) Dalbir, Farid and Lal Group Captain Malhotra is choosing (4) Eric, Farid and Lal part crew the last part of his crew for the spaceship 123. Given the above statements COSMOS, with which he plans to land about the relationships among the on the moon. He needs 4 more crew potential crew members, which of the members of whom at least two must be following must be true ? pilots, the others being engineers. The A : If Dalbir is rejected, then are Dalbir, candidates for Pilots are Dalbir, Eric and Monty must be chosen. Farid. The candidates for Engineers are B : If Dalbir is rejected, then Farid Monty, Lal, Monty, Naveen and Paul. Eric will must be chosen. not crew with Lal. Dalbir will not crew C : If Dalbir is chosen, then Paul with Naveen. must also be chosen. 121. If Naveen is chosen, which of (1) B only (2) C only the following must be other members of (3) A and B only (4) A and C only the crew ? 124. If Lal is chosen as an engineer, (1) Farid, Lal and Monty which of the following could be the other (2) Dalbir, Eric and Monty members of the crew ? (3) Eric, Farid and Monty A : Dalbir, Farid and Monty (4) Eric, Farid and Paul B : Dalbir, Farid and Naveen 122. If Paul is chosen, which C : Dalbir, Farid and Paul candidates will NOT be chosen to be (1) A only (2) B only on the crew ? (3) C only (4) A and C only MANAGEMENT APTITUDE TEST AT A GLANCE 17
 125. Which of the following 129. Deterioration : Rust : : statements must be true ? __________ : _________ A : If Group Captain Malhotra (1) Recession : Inefficiency chooses Lal, then Farid also must (2) Depression : Unemployment be chosen. (3) Promulgation : Legislation B : If Group Captain Malhotra (4) Iron : Water chooses Monty, then Naveen 130. Dinosaur : Dragon : : must also be chosen. __________ : __________ C : Lal and Naveen never crew (1) Evolution : Revelation together. (2) Gorilla : Soldier (1) A only (3) Snow : Ice (2) A and B only (4) Primeval : Medieval (3) A and C only 131. Condone : Offence : : (4) B and C only ________ : _________ 126. If Paul is chosen to be the part (1) Overlook : Aberration of the COSMOS’ crew and Dalbir is not, (2) Error : Omission who must be the other members of the (3) Mitigate : Penitence crew ? (4) Conviction : Criminal (1) Eric, Farid and Lal 132. Shoe : Leather : : (2) Eric, Farid and Monty ________ : ________ (3) Eric, Farid and Naveen (1) Bus : Conductor (4) Farid, Lal and Monty (2) Train : Wagon 127. If Eric makes the crew and Farid (3) Highway : Asphalt does not, which of the following (4) Medicine : Doctor statements must be true ? 133. Find the odd one out : A : Paul will be a member of the (1) Grams (2) Litres crew. (3) Tonnes (4) Quintals B : Monty will be a member of the crew. 134. Find the odd one out : (1) Both A and B (2) Neither A nor B (1) 25631 (2) 52163 (3) A only (4) B only (3) 33442 (4) 34424 Directions (Qs. 128 to 132) : There 135. Complete the series : is a blank space in each of these 10, 18, 34, ??, 130, 258 questions in which only one of the four (1) 32 (2) 60 alternatives alternatives given under each question (3) 68 (4) 66 satisfies the same relationship as is found 136. Find out the right letters for the terms between the two terms on the other side question marks : of the sign : : . Find the correct A M B N E I F J C O D P G K ? ? alternative alternative to fill in the blank space. (1) M N (2) L M 128. Telephone : Ring : : (3) I E (4) G H __________ : ___________ Directions (Qs. 137 to 141) : Mehta (1) Door : knock is the Director of investments for a mutual (2) Gate : open fund. He believes that bluechip stocks (3) Door : wood government and government securities will generally (4) Lock : key not do as well as corporate bonds in 18 MANAGEMENT APTITUDE TEST AT A GLANCE
 year, government the coming year, but gover nment 141. In the middle of the year, the 141. regulations require that at least onethird fund is invested equally in corporate fund’s of the fund’s capital be in bluechip bonds, bluechip stocks and government third government stocks and another third in government securities. Due to some rumours about securities. the credibility of the fund, investors have 137. Under current regulations, what started redemption and withdrawals seems to be the best way for Mehta resulting in cash shortage for the fund. to invest in the mutual fund ? Mehta might do any one of the following (1) Twothirds government securities, EXCEPT onethird blue chip stocks. (1) Sell two times more corporate (2) Twothirds government securities, bonds than bluechip stocks onethird corporate bonds. (2) Sell only government securities and (3) Onethird government securities, twothirds corporate bonds. bluechip stocks. (4) Onethird each government (3) Sell only corporate bonds and securities, bluechip stocks and bluechip stocks. corporate bonds. (4) Sell only government securities and 138. If the mutual fund has Rs. 60 crore corporate bonds. in assets, then what is the maximum that Directions (Qs. 142 to 144) : Farmer Directions Farmer Mehta could invest in bluechip stocks ? Batuk Singh has a larger square field (1) 20 crore (2) 30 crore divided into nine smaller squares, all (3) 40 crore (4) 50 crore equal, arranged in three rows of three 139. If the government regulations are fields each. One side of the field runs changed to require only onequarter exactly eastwest. The middle square whereas onethird was previously must be planted with rice because it is required, Mehta will probably wet. The wheat and barley should be (1) Increase the fund’s holdings of harvested contiguous so that they can be harvested government securities. harvester vester. all at once by the mechanical har vester. (2) Increase the fund’s holdings of Two of the fields should be planted with corporate bonds. northwester thwesternmost soyabeans. The northwesternmost field (3) Increase the fund’s holdings of should be planted with peanuts and bluechip stocks. the southern third of the field is suitable southern third (4) Hold more cash. only for vegetables. 140. If the return on government securities suddenly goes up by five Questions 142 to 144 refer to the percentage points, Mehta will probably following squares : (1) Sell bluechip stocks to buy govern (1) The square immediately north of ment securities. the rice. (2) Sell corporate bonds to buy (2) The square immediately east of the government securities. rice. (3) Sell both corporate bonds and (3) The square immediately west of bluechip stocks to buy government the rice. securities (4) The square immediately northeast (4) His action cannot be predicted of the rice. MANAGEMENT APTITUDE TEST AT A GLANCE 19
 142. Which square cannot be planted 149. If these rings are sold according with soyabeans ? to their weights, which ring will fetch 143. Which square cannot be planted the highest value in rupees ? with wheat ? (1) D (2) G (3) F (4) H 144. If Batuk Singh decides to plant 150. Ring H is heavier to which of the wheat next to the peanuts, in which the following two rings ? square will the barley be ? (1) GE (2) GF (3) DF (4) DE Directions (Qs. 145 to 148) : In a 151. Which of the following is the AW defence message, ‘GET AWAY, FIRE lightest in weight ? BACKWARDS, BACKWARDS, MOVE SLOW is coded (1) D (2) E (3) F (4) G as ‘BEN CDCI, QHOEPCTL DCOXU, 152. Which of the following ZMWE VFMD’ represents the descending order of the Based on this coding scheme, spot weights of the rings ? the codes for the words given in (1) D, E, H, G and F Questions 145 to 148 : (2) F, D, G, E and H 145.GREAT 145. (3) H, F, G, D and E (1) BOENC (2) BOEQN (4) E, G, H, D and F (3) BOECN (4) BOEHC Directions (Qs. 153 to 159) : 146.REWARD 146. A management institute organises (1) OEDNXE (2) OTDCOX six onceamonth lecture series for (3) OEDCOX (4) OEDCOU young entrepreneurs as per the 147.DEADLY 147. (1) XECXEI (2) XENXFI following schedule, with no dates (3) XECXEI (4) XECXFI conflicting : 148.OVER 148. Marketing — August through (1) MWOE (2) MWZO Management January Januar y (3) MWEO (4) MWED Economics — April through Directions (Qs. 149 to 152) : A October goldsmith has five gold rings, each January through Business Law — Januar y through having a different weight. They are September F, labelled as D, E, F, G and H. Their Financial — March through peculiarities are given in the following Management June 5 statements : Accounting — October Statement 1 : Ring D weighs twice as through April much as ring E. Personnel — October through Ring Statement 2 : Ring E weighs four and Management December a half times as much as 153. During which month are the F. ring F. fewest lectures given ? Statement 3 : Ring F weighs half as (1) January (2) February ring much as ring G. (3) June (4) September Statement 4 : Ring G weighs half as 154. Which is the largest number of much as ring H. lectures that can be attended in a single less Statement 5 : Ring H weighs l ess than month ? ring D but more tha n than (1) 7 (2) 6 ring F. (3) 5 (4) 4 20 MANAGEMENT APTITUDE TEST AT A GLANCE
CÓ THỂ BẠN MUỐN DOWNLOAD

52 bộ đề thi toán Olympic 2000
277 p  589  174

GRE, Mathematics Practice Test
61 p  316  172

McGrawHill’s GMAT  6 practice tests
513 p  216  154

GMAT OFFICIAL GUIDE 11th  Math Review
99 p  192  112

GIÁO TRÌNH TÍNH TOÁN KẾT CẤU VỚI SỰ TRỢ GIÚP CỦA MÁY TÍNH HƯỚNG DẪN SỬ DỤNG SAP 2000  BÀI TẬP 2
25 p  156  102

MATH REVIEW for Practicing to Take the GRE General Test
69 p  150  73

Inequality in international tests in mathematics
91 p  158  68

TÍNH TOÁN THIẾT KẾ KẾT CẤU BẰNG CHƯƠNG TRÌNH SAP 2000  BẢNG CÔNG CỤ CỦA SAP 2000
5 p  141  60

Đề Thi Học Sinh Giỏi Toán Tỉnh Thái Bình [2000  2009]
10 p  142  57

Tuyển tập các bài hình học vô địch thế giới P1
100 p  122  53

Management Aptitude Test (September 2005)
9 p  85  38

Test of Mathematical Aptitude MBA, RRB
3 p  76  28

, Đề thi toán vô địch thế giới IMO, 2000
1 p  194  19

Đề thi Olympic sinh viên thế giới năm 2000
8 p  72  14

Olympic toán toàn quốc  Việt nam 2000
1 p  143  12

Đề thi tuyển chọn hệ kỹ sư tài năng năm 2000  Môn Toán
1 p  82  9

IMO Shortlish 2000 bản tiếng Việt phần đại số và số học  Bùi Bá Anh
2 p  16  5