POSTUTME: UNIZIK – ENGINEERING & SCIENCES
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Question 1 of 100
1. Question
Find the locus of points which is equidistant from the points P (2,2) and Q(2,2)
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Question 2 of 100
2. Question
The value of tan315^{0} is
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Question 3 of 100
3. Question
The equation of a straight line through the points (2,y) and (4,7) is y=2x1. Find the value of y.
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Question 4 of 100
4. Question
A triangle PQR has PQ=PR and QR is produced to S. If angle PQR=64^{0}, find angle PRS.
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Question 5 of 100
5. Question
A chord 32cm long subtends an angle of 45^{0} at the circumference of a circle. Find the diameter of the circle to the nearest whole number.
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Question 6 of 100
6. Question
The opposite angles of a cyclic quadrilateral are
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Question 7 of 100
7. Question
Find the perimeter of the circular top of a tin whose diameter is 28cm
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Question 8 of 100
8. Question
The length of a straight line joining (2,3) and (5,7) is
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Question 9 of 100
9. Question
A ship sails 12km from port P on a bearing of 150^{0} then 16km on a bearing of 60^{0} to Q. Find the distance between Q and P.
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Question 10 of 100
10. Question
$\mathrm{If}\mathrm{R}\mathrm{varies}\mathrm{inversely}\mathrm{as}\sqrt{\mathrm{P}}\mathrm{and}\mathrm{R}=2\phantom{\rule{0ex}{0ex}}\mathrm{when}\mathrm{P}=4,\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{R}\mathrm{when}\mathrm{P}=46$CorrectIncorrect 
Question 11 of 100
11. Question
$\mathrm{If}\mathrm{x}*\mathrm{y}=\sqrt{2}\mathrm{x}\sqrt{\mathrm{y}},\mathrm{evaluate}(9*8)*3$CorrectIncorrect 
Question 12 of 100
12. Question
$\mathrm{Simplify}2\mathrm{m}\u20135/3\mathrm{m}+2\xf74{\mathrm{m}}^{2}\u201310\mathrm{m}/9{\mathrm{m}}^{2}+6\mathrm{m}$CorrectIncorrect 
Question 13 of 100
13. Question
$\mathrm{If}\mathrm{k}=\raisebox{1ex}{$3\mathrm{n}+2$}\!\left/ \!\raisebox{1ex}{$\mathrm{n}+1,\mathrm{express}\mathrm{n}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{k}$}\right.$CorrectIncorrect 
Question 14 of 100
14. Question
$\mathrm{The}\mathrm{correct}\mathrm{solution}\mathrm{of}\mathrm{the}\mathrm{inequality}\phantom{\rule{0ex}{0ex}}{\mathrm{t}}^{2}\u20133\mathrm{t}+4(1+2)(\mathrm{t}\u20133)\mathrm{is}$CorrectIncorrect 
Question 15 of 100
15. Question
The 5th term of an arithmetic progression is 41 and the sum of the first four terms is 94. Find the common difference.
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Question 16 of 100
16. Question
$\mathrm{If}(\mathrm{x}+1)\mathrm{divides}{\mathrm{x}}^{2}\u20134{\mathrm{x}}^{2}+\mathrm{kx}+6\mathrm{without}\phantom{\rule{0ex}{0ex}}\mathrm{a}\mathrm{remainder},\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{k}\mathrm{is}$CorrectIncorrect 
Question 17 of 100
17. Question
$\mathrm{If}\mathrm{R}=\left(\begin{array}{cc}1& 4\\ 3& 2\end{array}\right)\mathrm{and}\mathrm{S}=\left(\begin{array}{cc}0& 4\\ 1& \u20135\end{array}\right),\mathrm{find}3\mathrm{R}+\mathrm{S}$CorrectIncorrect 
Question 18 of 100
18. Question
$\mathrm{Given}\mathrm{that}\left(\begin{array}{cc}1& 2\\ \mathrm{k}& 1\end{array}\right)\left(\begin{array}{cc}\u20131& 1\\ 2& 5\end{array}\right)=\left(\begin{array}{cc}3& 11\\ 5& 2\end{array}\right),\mathrm{find}\mathrm{k}\begin{array}{}\end{array}$CorrectIncorrect 
Question 19 of 100
19. Question
Find the 18th term of the sequence 1,5,9,13â€¦
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Question 20 of 100
20. Question
Find the value of r if (x5) is a factor of (1+r)x^{2}2x190.
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Question 21 of 100
21. Question
Growth in living things is brought about by the
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Question 22 of 100
22. Question
In unicellular organisms, the structure responsible for reproduction is the
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Question 23 of 100
23. Question
The headfoot is a structure mostly found in
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Question 24 of 100
24. Question
Which of the following flatworms is freeliving?
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Question 25 of 100
25. Question
In which of the following is a diploblastic level of specialization found?
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Question 26 of 100
26. Question
Seedproducing vascular plants belong to the
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Question 27 of 100
27. Question
The steamlined body of birds is an adaptation for
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Question 28 of 100
28. Question
The part of the mammalian alimentary system where protein is finally digested is the
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Question 29 of 100
29. Question
When a cell is placed in a hypertonic solution, it will
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Question 30 of 100
30. Question
An organism with an open transport system is
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Question 31 of 100
31. Question
Gaseous exchange in tadpole takes place in the
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Question 32 of 100
32. Question
In plant, the end product of the breakdown of glucose in the absence of oxygen is
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Question 33 of 100
33. Question
The red colour of petals in plants result from deposits of
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Question 34 of 100
34. Question
Which of the following vertebrae is found in the waist of a man?
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Question 35 of 100
35. Question
The main feature of pentadactyl limbs is the presence of
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Question 36 of 100
36. Question
Which of the following is the correct sequence of growth in multicellular organisms?
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Question 37 of 100
37. Question
Which of the following produces secretion that help in controlling the level of calcium in the blood?
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Question 38 of 100
38. Question
Edaphic ecological factors relate to
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Question 39 of 100
39. Question
The abiotic factor common to all habitats is
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Question 40 of 100
40. Question
The instrument used for measuring relative humidity is a
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Question 41 of 100
41. Question
Which of the following is an ectoparasite of a cow?
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Question 42 of 100
42. Question
Excess carbon (IV) oxide in the atmosphere could lead to
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Question 43 of 100
43. Question
The velocity of sound in air is independent of
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Question 44 of 100
44. Question
A body of mass 4kg is accelerated from rest by a steady force of 9N. What is its velocity when it has traveled a distance of 8m?
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Question 45 of 100
45. Question
I. Directed towards a fixed point
II.Direct away from a fixed point
III. Directly proportional to its displacement from the fixed point
IV. Inversely proportional to its displacement from the fixed point
From the information above, a body performing simple harmonic motion is one whose acceleration is
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Question 46 of 100
46. Question
Calculate the force between two planets of mass 3.0×10^{15}kg and 1.5×10^{20}kg if their centres are 8.0×10^{10}m apart. [G=6.67×10^{11}Nm^{2}kg^{2}]
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Question 47 of 100
47. Question
Calculate the minimum speed a body must have to escape from the moonâ€™s gravitational field. [Mass of moon=7.7×10^{22}kg, radius of moon=1.7×10^{6}m and G=6.7×10^{11}Nm^{2}kg^{2}]
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Question 48 of 100
48. Question
A microphone converts sound energy to
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Question 49 of 100
49. Question
A body of mass 15kg falls from a height of 20m above the ground. What is the kinetic energy of the body just before it strikes the ground? [g=10ms^{2}]
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Question 50 of 100
50. Question
Which of the following is true of static and dynamic friction?
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Question 51 of 100
51. Question
A hydraulic press consists of two cylinders of crosssectional area 0.3m^{2} and 6.0m^{2}. if the piston in the smaller cylinder is pushed down with a force of 80N, what will be the force in the bigger cylinder?
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Question 52 of 100
52. Question
The efficiency of a machine can be improved by
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Question 53 of 100
53. Question
If a spring of length 20cm extends to 24cm when a mass of 16g is hung on it. By what length will it extend if a mass of 40g is hung on it
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Question 54 of 100
54. Question
The point at which the molecules of a loaded wire begin to slide across each other resulting in rapid increase in extension is the
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Question 55 of 100
55. Question
A hydrometer reads 0.25 when dipped in kerosene and 0.12 in another liquid. Calculate the density of the liquid if the density of the kerosene is 0.113gcm^{3}.
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Question 56 of 100
56. Question
A climber on top of a very high mountain needs a pressure pot to cook his food because
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Question 57 of 100
57. Question
Find the volume of a liquid that will have the same mass as 1.8m^{3} of water. [Density of water=1000kgm^{3}; density of liquid=900kgm^{3}]
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Question 58 of 100
58. Question
The pressure of a gas in a closed container at 47^{0}C is 1.6×10^{5} What will be the pressure of the gas at 33^{0}C?
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Question 59 of 100
59. Question
When a fixed mass of gas is kept in a sealed cylinder, the change in temperature is
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Question 60 of 100
60. Question
A heater rated 15A, 12v is used to boil completely 2kg of liquid to its gaseous state at the same temperature in 10mins. Calculate the specific latent heat of vaporization of the liquid
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Question 61 of 100
61. Question
The rise in the level of water in a capillary tube when dipped into a bowl of water is an illustration of
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Question 62 of 100
62. Question
The rate at which heat is transferred from one point to another in a material depends on its
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Question 63 of 100
63. Question
A hunter fired a gun and heard the echo from a cliff 2.4sec later. If the speed of sound in air is 320ms^{1}, calculate the distance between the hunter and the cliff.
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Question 64 of 100
64. Question
Soft materials are used to cover the walls of sound studios in order to reduce the effect of
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Question 65 of 100
65. Question
A mixture of proteins can best be separated by
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Question 66 of 100
66. Question
The purity of proteins can best be determined by its
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Question 67 of 100
67. Question
What mass of a divalent metal, Y would react with excess hydrochloric acid to liberate 224cm^{3} of hydrogen gas at s.t.p.? [Y=40, Molar volume of a gas at s.t.p.=22.4dm^{3}]
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Question 68 of 100
68. Question
Which of the following will occur when some crystals of iodine are slowly heated in a test tube?
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Question 69 of 100
69. Question
A mixture of two gases P and Q occupying volumes 300cm^{3} and 100cm^{3} respectively exerts a total pressure of 800mmHg. What is the partial pressure of Q?
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Question 70 of 100
70. Question
A particle that contains 9 protons, 10 neutrons and 9 electrons is a
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Question 71 of 100
71. Question
The elements in the periodic table are listed in order of increasing
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Question 72 of 100
72. Question
The ionic radii of metal are usually
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Question 73 of 100
73. Question
In electrovalency, the oxidation number of the participating metal is always
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Question 74 of 100
74. Question
In which of the following molecules is hydrogen bond prominent?
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Question 75 of 100
75. Question
The end products of burning a candle in the atmosphere are water and
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Question 76 of 100
76. Question
What mass of Cu would be produced by the cathodic reduction of Cue when 1.60A of current passes through a solution of CuSO_{4} for 1hour? [F=96500Cmol^{1}, Cu=64]
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Question 77 of 100
77. Question
An example of an endothermic reaction is the dissolution of
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Question 78 of 100
78. Question
The situation obtained when a perfect gas expands into a vacuum is
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Question 79 of 100
79. Question
The collision theory explains reaction rates in terms of
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Question 80 of 100
80. Question
2KClO_{3}(s) âŸ¶ 2KCl(s) + 3O_{2}(g). The importance of the catalyst in the reaction above is that
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Question 81 of 100
81. Question
$3{\mathrm{H}}_{2}\left(\mathrm{g}\right)+{\mathrm{N}}_{2}\left(\mathrm{g}\right)\u27f62{\mathrm{NH}}_{3}\left(\mathrm{g}\right);\u2206\mathrm{H}=\u2013\mathrm{ve}.\phantom{\rule{0ex}{0ex}}\mathrm{In}\mathrm{the}\mathrm{reaction}\mathrm{above},\mathrm{lowering}\mathrm{of}\mathrm{temperature}\mathrm{will}$CorrectIncorrect 
Question 82 of 100
82. Question
In the question below, choose the option that best completes the gap
The man arrived when we ____________ expected
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Question 83 of 100
83. Question
All convicted murderers usually have to pay the ultimate ________ for their crime
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Question 84 of 100
84. Question
The two children went to watch ___________ of guard outside the palace
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Question 85 of 100
85. Question
Neither the father nor the children ____________ the whereabouts of the sheep
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Question 86 of 100
86. Question
That friend of ours brought us ___________Â
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Question 87 of 100
87. Question
The lorry was carrying sixty ___________ of cattle.
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Question 88 of 100
88. Question
It is high time our politicians ___________ deceiving the masses
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Question 89 of 100
89. Question
We all get thrilled by the gobbling of turkeys but are put off by the ________ of the hyena
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Question 90 of 100
90. Question
Chika made it clear that he was opposed to ____________ the shops
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Question 91 of 100
91. Question
Adaji _________at work, but he has gone fishing instead
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Question 92 of 100
92. Question
Articles are arranged in _________ in the newspapers.
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Question 93 of 100
93. Question
The cashier asked her how much ____________
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Question 94 of 100
94. Question
I saw a _________ of lions yesterday
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Question 95 of 100
95. Question
You ________________ eat in class during lectures
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Question 96 of 100
96. Question
Come and speak to my brother _____________ waiting outside
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Question 97 of 100
97. Question
The sound of the vehicle _________ into the distance
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Question 98 of 100
98. Question
The doctor said the food we were eating was ___________ in vitamins
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Question 99 of 100
99. Question
After that military action, everyone was afraid of ___________ by the enemy
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Question 100 of 100
100. Question
The fisherman saw the fish nibbling ____________ the bait
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