NUST Engineering Past Paper-12
200 MCQs — Click "Reveal" to see the correct answer.
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1NUST Engineering Past Paper-12
If and , then
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2NUST Engineering Past Paper-12
Which of the following series is convergent?
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3NUST Engineering Past Paper-12
Vertex of the parabola is:
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4NUST Engineering Past Paper-12
If , where is in the 1st quadrant, then
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5NUST Engineering Past Paper-12
A solution which satisfies all the constraints of a linear programming problem is called:
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6NUST Engineering Past Paper-12
If is not in the 1st quadrant and , then
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7NUST Engineering Past Paper-12
The area of a triangle having the points , and as its vertices is:
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8NUST Engineering Past Paper-12
Express in the form :
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9NUST Engineering Past Paper-12
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10NUST Engineering Past Paper-12
The constant term in the expansion of is:
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11NUST Engineering Past Paper-12
If and , where and are in the first quadrant, then
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12NUST Engineering Past Paper-12
The angles of a triangle are in the ratio . The actual angles of the triangle are:
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13NUST Engineering Past Paper-12
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least one girl and 2 boys?
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14NUST Engineering Past Paper-12
Graph of over the interval intersects the x-axis at:
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15NUST Engineering Past Paper-12
If , where , then
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16NUST Engineering Past Paper-12
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17NUST Engineering Past Paper-12
If , then
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18NUST Engineering Past Paper-12
The function has:
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19NUST Engineering Past Paper-12
If , where , , , , then
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20NUST Engineering Past Paper-12
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21NUST Engineering Past Paper-12
If , then
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22NUST Engineering Past Paper-12
If , then
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23NUST Engineering Past Paper-12
The th order derivative of is:
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24NUST Engineering Past Paper-12
The stationary value(s) of the function is/are:
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25NUST Engineering Past Paper-12
If and , then
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26NUST Engineering Past Paper-12
The area enclosed between the curve and the x-axis from to is:
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27NUST Engineering Past Paper-12
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28NUST Engineering Past Paper-12
The distance between the parallel lines and is:
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29NUST Engineering Past Paper-12
The foci of the ellipse are:
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30NUST Engineering Past Paper-12
If the axes are translated to the new origin , the coordinates of the point with respect to the new axes will be:
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31NUST Engineering Past Paper-12
, then
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32NUST Engineering Past Paper-12
If , then
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33NUST Engineering Past Paper-12
The derivative of w.r.t is:
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34NUST Engineering Past Paper-12
If , then
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35NUST Engineering Past Paper-12
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36NUST Engineering Past Paper-12
If , find the positive value of :
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37NUST Engineering Past Paper-12
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38NUST Engineering Past Paper-12
The circumcentre of the triangle whose vertices are , and is:
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39NUST Engineering Past Paper-12
The inclination of the line is:
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40NUST Engineering Past Paper-12
The equation represents:
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41NUST Engineering Past Paper-12
If and , then
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42NUST Engineering Past Paper-12
If and are the complex cube roots of unity, then the inverse of which of the following matrices exists?
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43NUST Engineering Past Paper-12
The vector in the direction of which has magnitude units is:
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44NUST Engineering Past Paper-12
Which term of the sequence is ?
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45NUST Engineering Past Paper-12
If
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46NUST Engineering Past Paper-12
In the form , the expression is written as:
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47NUST Engineering Past Paper-12
and , then
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48NUST Engineering Past Paper-12
The acute angle between the lines and is:
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49NUST Engineering Past Paper-12
The length of the latus rectum of the ellipse is:
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50NUST Engineering Past Paper-12
If the axes are rotated through an angle of counterclockwise, the coordinates of the point with respect to the new axes are:
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51NUST Engineering Past Paper-12
The sum of the first terms of a series is given by . What is the term of the series?
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52NUST Engineering Past Paper-12
If the arithmetic mean of two numbers is and the geometric mean is , then the numbers are:
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53NUST Engineering Past Paper-12
The sum of the infinite series is:
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54NUST Engineering Past Paper-12
If the first term of a geometric progression is and the sum of the first three terms is , what is the common ratio?
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55NUST Engineering Past Paper-12
How many -digit numbers can be formed using the digits and , if no digit is repeated?
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56NUST Engineering Past Paper-12
If , then find the value of :
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57NUST Engineering Past Paper-12
What is the value of ?
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58NUST Engineering Past Paper-12
Find the number of ways to arrange the letters of the word 'ARRAY':
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59NUST Engineering Past Paper-12
If and , find the value of :
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60NUST Engineering Past Paper-12
If is a skew-symmetric matrix, then the diagonal elements of are:
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61NUST Engineering Past Paper-12
If , then is:
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62NUST Engineering Past Paper-12
If is a square matrix and , then is called a:
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63NUST Engineering Past Paper-12
is continuous at , then the value of is:
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64NUST Engineering Past Paper-12
If , then is:
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65NUST Engineering Past Paper-12
The derivative of is:
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66NUST Engineering Past Paper-12
If and , then is:
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67NUST Engineering Past Paper-12
The second derivative of is:
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68NUST Engineering Past Paper-12
The rate of change of the area of a circle with respect to its radius at cm is:
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69NUST Engineering Past Paper-12
The intervals in which the function is strictly increasing are:
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70NUST Engineering Past Paper-12
The values of for which is an increasing function are:
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71NUST Engineering Past Paper-12
The value of is:
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72NUST Engineering Past Paper-12
is equal to:
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73NUST Engineering Past Paper-12
Evaluate :
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74NUST Engineering Past Paper-12
Evaluate :
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75NUST Engineering Past Paper-12
The distance of the line from the origin is:
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76NUST Engineering Past Paper-12
The distance between parallel lines and is:
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77NUST Engineering Past Paper-12
The acute angle between the lines and is:
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78NUST Engineering Past Paper-12
If the lines and are perpendicular, then
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79NUST Engineering Past Paper-12
The equation of lines whose joint equation is are:
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80NUST Engineering Past Paper-12
The point lies _____ the circle :
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81NUST Engineering Past Paper-12
Length of the diameter of the circle is:
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82NUST Engineering Past Paper-12
The equation of the tangent to the circle at the point is:
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83NUST Engineering Past Paper-12
The tangents to the circle with slope are:
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84NUST Engineering Past Paper-12
The length of the latus rectum of the ellipse is:
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85NUST Engineering Past Paper-12
The eccentricity of the ellipse is:
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86NUST Engineering Past Paper-12
The x-intercepts of the parabola are at:
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87NUST Engineering Past Paper-12
The value of is equal to:
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88NUST Engineering Past Paper-12
If , then the value of is:
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89NUST Engineering Past Paper-12
The expression can be written in the form as:
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90NUST Engineering Past Paper-12
The integral of is
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91NUST Engineering Past Paper-12
The value of is:
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92NUST Engineering Past Paper-12
Find the vertex of the parabola .
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93NUST Engineering Past Paper-12
Find the equation of the tangent to the hyperbola at the point .
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94NUST Engineering Past Paper-12
Evaluate for .
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95NUST Engineering Past Paper-12
Evaluate .
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96NUST Engineering Past Paper-12
If are the roots of , find .
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97NUST Engineering Past Paper-12
For , find the value of at which achieves its maximum.
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98NUST Engineering Past Paper-12
Given that is a root of , determine the quotient when this polynomial is divided by .
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99NUST Engineering Past Paper-12
In triangle , the area is , angle , and side . Determine side .
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100NUST Engineering Past Paper-12
A radioactive reaction decays to . How many α and β particles are emitted?
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101NUST Engineering Past Paper-12
The time taken by the entire electron pulse to reach anode in Geiger Muller tube is
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102NUST Engineering Past Paper-12
Geiger Muller counter can be used to determine the
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103NUST Engineering Past Paper-12
In a nuclear reaction, which of the following is conserved?
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104NUST Engineering Past Paper-12
The half-life (T) and the disintegration constant (λ) of a radioactive substance are related as
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105NUST Engineering Past Paper-12
Which of the following is true?
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106NUST Engineering Past Paper-12
The effect of the decrease in pressure with the increase in speed of the fluid in a horizontal tube gives that
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107NUST Engineering Past Paper-12
For better resolution and clear visibility through a microscope we use
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108NUST Engineering Past Paper-12
Which of the following processes will result in a fission reaction?
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109NUST Engineering Past Paper-12
The radius of the third orbit of hydrogen atom is
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110NUST Engineering Past Paper-12
The number of neutrons 'N' is equal to
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111NUST Engineering Past Paper-12
When a hydrogen atom is raised from the ground state to an excited state
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112NUST Engineering Past Paper-12
In a step-up transformer when the alternating voltage increases, the alternating current
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113NUST Engineering Past Paper-12
The temperature scale which is independent of the nature of the working substance is
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114NUST Engineering Past Paper-12
The period of a pendulum is measured to be 4.0 s in the inertial frame of the pendulum. Find the period by an observer moving at 0.6c with respect to the pendulum.
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115NUST Engineering Past Paper-12
The heat engine operating in reverse is called
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116NUST Engineering Past Paper-12
The frequencies of X-rays, γ-rays and ultraviolet rays are respectively a, b, and c. Then
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117NUST Engineering Past Paper-12
Emitter of the transistor has greater concentration of impurity as compared to
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118NUST Engineering Past Paper-12
Find the average speed of an oxygen molecule at
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119NUST Engineering Past Paper-12
The lifetime of an ordinary excited state is
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120NUST Engineering Past Paper-12
A body moves a distance of 8 m along a straight line under the action of a force of 6 N. If the work done is 24 J, the angle which the force makes with the direction of motion of the body is
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121NUST Engineering Past Paper-12
The horizontal range of a projectile, at a certain place, depends upon:
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122NUST Engineering Past Paper-12
The dot product of two vectors is negative if
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123NUST Engineering Past Paper-12
Resistive forces are:
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124NUST Engineering Past Paper-12
SI unit of the intensity of a wave is
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125NUST Engineering Past Paper-12
The number of significant figures in all the given numbers 25.12, 2009, 4.156 and 1.257×10⁻⁴ are
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126NUST Engineering Past Paper-12
The error of any measurement may occur due to
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127NUST Engineering Past Paper-12
The unit of Planck's constant h is same as that of
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128NUST Engineering Past Paper-12
If and are non-parallel vectors, then the direction of is
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129NUST Engineering Past Paper-12
If , then the angle between and is
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130NUST Engineering Past Paper-12
The magnitude of displacement is
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131NUST Engineering Past Paper-12
Range of a projectile is R, when the angle of projection is 20°. Then, the value of the other angle of projection for the same range is:
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132NUST Engineering Past Paper-12
A 3 kg body and a 4 kg body have equal momentum. If the kinetic energy of the 4 kg body is 12 J, the KE of the 3 kg body will be
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133NUST Engineering Past Paper-12
The torque on a body will be zero if the angle between and is
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134NUST Engineering Past Paper-12
The rain drop falling from the sky reaches the ground with
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135NUST Engineering Past Paper-12
In a container having water filled up to a height h, a hole is made in the bottom. The velocity of water flowing out of the hole is
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136NUST Engineering Past Paper-12
The damping depends upon
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137NUST Engineering Past Paper-12
The locus of all points in the same phase of vibration is called
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138NUST Engineering Past Paper-12
To get five images of a single object, one should have two plane mirrors at an angle of
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139NUST Engineering Past Paper-12
Brownian motion increases due to
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140NUST Engineering Past Paper-12
Which of the following statements is correct for any thermodynamic system?
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141NUST Engineering Past Paper-12
Triple point of water is
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142NUST Engineering Past Paper-12
A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is
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143NUST Engineering Past Paper-12
A conducting wire is drawn to double its length. The final resistivity of the material will be
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144NUST Engineering Past Paper-12
According to Ampere's circuital law, the sum of the quantities for all path elements into which the complete loop has been divided =
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145NUST Engineering Past Paper-12
The wave nature of an electron is illustrated by its:
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146NUST Engineering Past Paper-12
In alternating current, the average power delivered during a cycle is
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147NUST Engineering Past Paper-12
If the peak of a sine wave is 8 V, the peak-to-peak value is
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148NUST Engineering Past Paper-12
The potential gradient between the two charged plates having separation of 0.2 cm and potential difference of 8 V is:
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149NUST Engineering Past Paper-12
The electronic circuits which implement the various logical operations are known as
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150NUST Engineering Past Paper-12
The ratio of collector current to the base current is always constant for a given transistor. It is also called as
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151NUST Engineering Past Paper-12
Capacitors store
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152NUST Engineering Past Paper-12
Ratio of electrical constant to gravitational constant is approximately:
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153NUST Engineering Past Paper-12
Unit of emf?
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154NUST Engineering Past Paper-12
Which of the following converts heat energy into electrical energy?
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155NUST Engineering Past Paper-12
If three resistances , and are connected in parallel such that , which of the following will be true for the equivalent resistance ?
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156NUST Engineering Past Paper-12
When the ohmmeter measures the infinite resistance, its pointer lies at
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157NUST Engineering Past Paper-12
When carrying electricity on long distances, step-up transformers are used to:
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158NUST Engineering Past Paper-12
Impedance in an RLC series circuit is given by
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159NUST Engineering Past Paper-12
If the temperature on the Kelvin scale is tripled, what would be the effect on the energy of radiations?
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160NUST Engineering Past Paper-12
Identify the word with the correct spelling.
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161NUST Engineering Past Paper-12
Choose the synonym of 'PAUCITY'.
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162NUST Engineering Past Paper-12
Identify the grammatical error: 'He has been (A) / working here (B) / since (C) / five years (D).'
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163NUST Engineering Past Paper-12
Change to Passive Voice: 'The boys were playing Cricket.'
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164NUST Engineering Past Paper-12
Select the correct spelling.
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165NUST Engineering Past Paper-12
Select the correct meaning of the idiom: 'At daggers drawn'.
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166NUST Engineering Past Paper-12
Complete the sentence: 'If I ______ a king, I would help the poor.'
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167NUST Engineering Past Paper-12
Choose the synonym of 'AUDACIOUS'.
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168NUST Engineering Past Paper-12
Find the correctly spelled word.
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169NUST Engineering Past Paper-12
Change to Passive Voice: 'The boy laughed at the beggar.'
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170NUST Engineering Past Paper-12
Choose the antonym of 'FRUGAL'.
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171NUST Engineering Past Paper-12
Identify the grammatical error: 'Neither of the two candidates (A) / are (B) / fit for (C) / the post (D).'
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172NUST Engineering Past Paper-12
What is the meaning of 'APIARY'?
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173NUST Engineering Past Paper-12
Identify the correctly spelled word.
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174NUST Engineering Past Paper-12
Select the correct meaning of the idiom: 'To smell a rat'.
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175NUST Engineering Past Paper-12
Complete the sentence: 'The train ______ before I reached the station.'
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176NUST Engineering Past Paper-12
Identify the correct indirect speech: I said to him, 'Why are you working so hard?'
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177NUST Engineering Past Paper-12
Sentence Correction: 'Each of the students (A) / have finished (B) / their (C) / homework (D).'
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178NUST Engineering Past Paper-12
Choose the synonym of 'ABRIDGE'.
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179NUST Engineering Past Paper-12
Choose the antonym of 'AMBIGUOUS'.
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180NUST Engineering Past Paper-12
Identify the grammatical error: 'He is (A) / one of the tallest boy (B) / in the (C) / class (D).'
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181NUST Engineering Past Paper-12
Select the correct word for: 'A person who hates mankind.'
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182NUST Engineering Past Paper-12
Change to Passive Voice: 'They will demolish the entire block.'
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183NUST Engineering Past Paper-12
Complete the sentence: 'He is addicted ______ gambling.'
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184NUST Engineering Past Paper-12
Which of these is the correct spelling?
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185NUST Engineering Past Paper-12
Choose the synonym of 'INDOLENT'.
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186NUST Engineering Past Paper-12
Select the correctly spelled word.
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187NUST Engineering Past Paper-12
Select the correct meaning of the idiom: 'Cold comfort'.
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188NUST Engineering Past Paper-12
Choose the word most similar to 'CONJECTURE'.
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189NUST Engineering Past Paper-12
Choose the correctly spelled word.
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190NUST Engineering Past Paper-12
Choose the antonym of 'ANCIENT'.
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191NUST Engineering Past Paper-12
Complete the sentence: 'Hardly had he reached the school ______ the bell rang.'
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192NUST Engineering Past Paper-12
Choose the synonym of 'MALICE'.
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193NUST Engineering Past Paper-12
Select the correct word for: 'One who is expert in the field of art, music, or knowledge.'
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194NUST Engineering Past Paper-12
Change to Passive Voice: 'They drew a circle in the morning.'
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195NUST Engineering Past Paper-12
Choose the antonym of 'RIGID'.
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196NUST Engineering Past Paper-12
Identify the grammatical error: 'Suppose if (A) / it rains (B) / what shall (C) / we do? (D)'
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197NUST Engineering Past Paper-12 NUST Engineering Past Paper-15
Pick the word closest in meaning to 'Transient':
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198NUST Engineering Past Paper-12
Pick the option that best defines the verb 'Bode':
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199NUST Engineering Past Paper-12
Read the passage and choose the most strongly supported conclusion. 'It was in the 1960s when a black woman sat on a seat reserved for white people in a bus and was forced to get off. Martin Luther King, a priest, decided to take action and launched a huge protest in the city. All black people were asked to boycott the buses.'
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200NUST Engineering Past Paper-12
Pick the word closest in meaning to 'Calumnious':