Anglo-Eastern Ship Management Set 09 PDF

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Summary

This is a set of multiple choice questions related to mathematics, physics, and other subjects. The questions are suitable for secondary and A level students. The questions cover various topics, and the paper also includes an assessment of a machine's efficiency.

Full Transcript

ANGLO-EASTERN SHIP MANAGEMENT SET 09 1. In an isosceles right-angled triangle ABC, angle B = 90°. The value of (2Sin A Cos A) = a) 1 b) 1/2 c) 1/√2 d) √2 2. How much of global trade is served by shipping? a) One ninth b) Nine tenth c)...

ANGLO-EASTERN SHIP MANAGEMENT SET 09 1. In an isosceles right-angled triangle ABC, angle B = 90°. The value of (2Sin A Cos A) = a) 1 b) 1/2 c) 1/√2 d) √2 2. How much of global trade is served by shipping? a) One ninth b) Nine tenth c) Three fourth d) Half 3. A fuse wire is inserted in a) live wire b) neutral wire c) earth wire d) may be connected in any line 4. The average of 17 numbers is 45. The average of first 9 of these numbers is 51 and the last 9 of these number is 36. What is the 9th number? a) 14 b) 16 c) 18 d) 22 5. The efficiency of a machine which raises the load of 200 N through 2m when an effort of 100 N moves 8m is a) 0.50% b) 5% c) 50% d) 80% 6. The perpendicular distance between the lines (2x + 5 = 0) and (x -5 = 0) is a) 3 units b) 1 unit c) 5 units d) 7 units 7. The arithmetic mean of 9 observations is 100 and that of 6 is 80. The combined mean of all the 15 observations will be a) 100 b) 80 c) 90 d) 92 8. In a class of 519 students, the rank of Malcom is 259th from top. What will be his rank from bottom? a) 257 b) 258 c) 259 d) 260 9. ‘Ruble’ is the national currency of a) Columbia b) Russia c) Oman d) Romania 10. These essays are intellectually_______ and represent various levels of complexity. a) revealing b) modern c) superior d) demanding 11. The opposite of the opposite of ‘inexact’ is a) casual b) accurate c) rough d) easy 12. ‘Tadpole’ is to ‘frog’ as ‘Larva’ is to a) spider b) warm c) insect d) crocodile 13. ‘Pork’ is to ‘pig’ as ‘Veal’ is to a) Calf b) Chicken c) Lamb d) Pigeon 14. ‘Ice’ is to ‘water’ as ‘rock’ is to a) lava b) sand c) oil d) juice 15. ‘Better’ is to ‘worst’ as ‘Slower’ is to a) Fast b) Slowest c) Quickest d) Runner 16. Which of the following elements is the best reducing agent? a) Ca b) Au c) Fe d) Cu 17. A stone of mass 2 kg is dropped from a height of 4m. Neglecting air resistance, the kinetic energy of a stone in joules just before it hits the ground is (consider acceleration due to gravity as 10 m/sec2) a) 6 b) 16 c) 80 d) 160 18. Given that A is the brother of B, C is the father of A, D is the brother of E and E is the daughter of B. Then uncle of D is a) A b) B c) C d) E 19. Worth $6650. A person gets a rebate of 6% on it. After getting the rebate, he pays sales tax at 10%. Find the amount he will have to pay for goods a) 6876.10 b) 6886.10 c) 7876.10 d) 7886.10 20. One third of a number is greater than one fourth of its successor by 1. Find the number a) 15 b) 16 c) 17 d) 18 21. Find the point of intersection of the line that passes through the points (1,5) and (3,9) and the line perpendicular to that line that passes through the point (0,-2) a) (-2,-1) b) (-2,2) c) (2,-2) d) (-1,-2) 22. Reference to the figure given below; if L1 is parallel to L2, then x = a) 35 b) 30 c) 25 d) 15 23. The oxidization number of sulphur in H2SO4 is a) +6 b) +5 c) +4 d) -2 24. If the two sides of a triangle have length 5 and 6, the perimeter of the triangle could be which of the following? a) 11 b) 15 c) 24 d) 27 25. Given that t = √(-1), what is the multiplicative inverse of (5 – t)? a) 5 + t b) (5 + t)/26 c) 1/(5 + t) d) (5 – t)/24 26. Amongst the following select the odd one out. a) Wheat b) Maize c) Turmeric d) Barley 27. Panama Canal joins Pacific Ocean with a) Arctic Ocean b) Indian Ocean c) Atlantic Ocean d) Southern Ocean 28. Which amongst the following poses threats to our waterways and oceans? a) Pollution b) Salinity c) Shipping d) Exports and imports 29. Parallel light rays will diverge after passing through which of the following? a) convex lens b) concave lens c) rectangular glass slab d) plane mirror 30. What is the resistance of a wire of length 10 km and diameter 2 mm made of material of resistivity 2.7 x 10-7Ohm metre a) 80 ohm b) 82 ohm c) 84 ohm d) 86 ohm 31. A particle is released from rest from a tower of height 3h. The ratio of times to fall equal height h, i.ee t1 : t2 : t3 is a) √3:√2:1 b) 3:2:1 c) 9:4:1 d) 1:( √2-1):( √3-2) 32. Reference to the figure given below; two magnets are held close to each other such that the magnetic field lines of force in the region are drawn as shown. The polarity to the left and right magnetic poles in picture is a) North and North respectively b) South and South respectively c) North and South respectively d) South and North respectively 33. The power of a pump which can pump 200 kg of water to a height of 200 m in 10 s is (g = 10 m/s2) a) 40 kW b) 80 kW c) 400 kW d) 960 kW 34. If a car at rest accelerates uniformly to a speed of 144 km/h in 20s, then it covers a distance of a) 20 m b) 400 m c) 1440 m d) 2880 m 35. A cliff and a tower are based on the same ground level. From the top of the cliff 25m high, the angle of elevation of the top of a tower with reference to horizontal is found to be equal to the angle of depression of the foot of the tower. The height of the tower is a) 25 m b) 25√2 m c) 25/√2 m d) 50 m 36. Find the conjugate of (8 + 3i)2 a) 55 + 48i b) 48 + 55i c) 55 - 48i d) -48 + 55i 37. Electric lines of force a) exist everywhere b) exist only in the immediate vicinity of electric charges c) exist only when both positive and negative charges are near one another d) are imaginary 38. An object has kinetic energy of 10 J at a certain. If it is acted on by an opposing force of 5 N, the distance travelled further by the object before coming to rest is equal to a) 1m b) 2m c) 3m d) 4m 39. Which of the following is not one of the islands of Japan? a) Shikoku b) Maluku c) Kyushu d) Honshu 40. An oxidising agent is a substance which can a) accept electrons b) donate electrons c) accept protons d) donate protons 41. Which of the following types of cargoes are handled at the port of Singapore? a) Container and conventional cargoes b) Conventional and bulk cargoes c) Bulk and container cargoes d) Conventional, container and bulk cargoes 42. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B a) 2:3 b) 3:4 c) 4:3 d) 3:2 43. A rectangular solid has three faces with areas of 28, 20 and 35 square centimetres. What is the volume of this solid? a) 83 b) 140 c) 166 d) 196 44. If 2(1+2x) – 5(4-2x) = 14, then x = a) -5.33 b) -0.28 c) 2.29 d) 0.67 45. The number 86.345 correct to one decimal place is a) 86.0 b) 86.3 c) 86.4 d) 86.5 46. Which of the following countries own the global positioning system (GPS)? a) UK b) China c) Russia d) USA 47. Reference to the figure given below; points A, B and C lie on circle with centre O. Angle A = 60° and angle C = 50°. What is the measure of angle ABC? a) 110° b) 120° c) 130° d) 140° 48. Which among the following numbers is not a perfect square? a) 0.01 b) 0.001 c) 0.0001 d) 0.000001 49. Which of the following numbers suits the ‘X’ mark position in the given series? 6561, 81, ‘X’, 3 a) 27 b) 18 c) 9 d) 6 50. Tidal currents are driven by a) wind b) higher and lower elevation c) gravitational attraction of the sun and moon d) flows down the street

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