NUST Engineering Past Paper-12

NUST ·
200 MCQs

200 MCQs — Click "Reveal" to see the correct answer.

  1. 1
    NUST Engineering Past Paper-12

    If and , then

  2. 2
    NUST Engineering Past Paper-12

    Which of the following series is convergent?

  3. 3
    NUST Engineering Past Paper-12

    Vertex of the parabola is:

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    NUST Engineering Past Paper-12

    If , where is in the 1st quadrant, then

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    NUST Engineering Past Paper-12

    A solution which satisfies all the constraints of a linear programming problem is called:

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    If is not in the 1st quadrant and , then

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    The area of a triangle having the points , and as its vertices is:

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    Express in the form :

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    The constant term in the expansion of is:

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    If and , where and are in the first quadrant, then

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    The angles of a triangle are in the ratio . The actual angles of the triangle are:

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    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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    Graph of over the interval intersects the x-axis at:

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    If , where , then

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    If , then

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    The function has:

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    If , where , , , , then

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    If , then

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    If , then

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    NUST Engineering Past Paper-12

    The th order derivative of is:

  24. 24
    NUST Engineering Past Paper-12

    The stationary value(s) of the function is/are:

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    If and , then

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    The area enclosed between the curve and the x-axis from to is:

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    The distance between the parallel lines and is:

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    The foci of the ellipse are:

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    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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    , then

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    If , then

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    The derivative of w.r.t is:

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    If , then

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    If , find the positive value of :

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    The circumcentre of the triangle whose vertices are , and is:

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    The inclination of the line is:

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    The equation represents:

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    If and , then

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    If and are the complex cube roots of unity, then the inverse of which of the following matrices exists?

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    NUST Engineering Past Paper-12

    The vector in the direction of which has magnitude units is:

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    NUST Engineering Past Paper-12

    Which term of the sequence is ?

  45. 45
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    If

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    In the form , the expression is written as:

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    and , then

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    NUST Engineering Past Paper-12

    The acute angle between the lines and is:

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    NUST Engineering Past Paper-12

    The length of the latus rectum of the ellipse is:

  50. 50
    NUST 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:

  51. 51
    NUST Engineering Past Paper-12

    The sum of the first terms of a series is given by . What is the term of the series?

  52. 52
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    If the arithmetic mean of two numbers is and the geometric mean is , then the numbers are:

  53. 53
    NUST Engineering Past Paper-12

    The sum of the infinite series is:

  54. 54
    NUST 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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    NUST Engineering Past Paper-12

    How many -digit numbers can be formed using the digits and , if no digit is repeated?

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    NUST Engineering Past Paper-12

    If , then find the value of :

  57. 57
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    What is the value of ?

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    NUST Engineering Past Paper-12

    Find the number of ways to arrange the letters of the word 'ARRAY':

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    NUST Engineering Past Paper-12

    If and , find the value of :

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    NUST Engineering Past Paper-12

    If is a skew-symmetric matrix, then the diagonal elements of are:

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    If , then is:

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    NUST Engineering Past Paper-12

    If is a square matrix and , then is called a:

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    is continuous at , then the value of is:

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    NUST Engineering Past Paper-12

    If , then is:

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    NUST Engineering Past Paper-12

    The derivative of is:

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    NUST Engineering Past Paper-12

    If and , then is:

  67. 67
    NUST Engineering Past Paper-12

    The second derivative of is:

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    The rate of change of the area of a circle with respect to its radius at cm is:

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    The intervals in which the function is strictly increasing are:

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    The values of for which is an increasing function are:

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    The value of is:

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    is equal to:

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    Evaluate :

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    Evaluate :

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    NUST Engineering Past Paper-12

    The distance of the line from the origin is:

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    NUST Engineering Past Paper-12

    The distance between parallel lines and is:

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    NUST Engineering Past Paper-12

    The acute angle between the lines and is:

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    NUST Engineering Past Paper-12

    If the lines and are perpendicular, then

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    The equation of lines whose joint equation is are:

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    The point lies _____ the circle :

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    Length of the diameter of the circle is:

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    NUST Engineering Past Paper-12

    The equation of the tangent to the circle at the point is:

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    The tangents to the circle with slope are:

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    NUST Engineering Past Paper-12

    The length of the latus rectum of the ellipse is:

  85. 85
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    The eccentricity of the ellipse is:

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    NUST Engineering Past Paper-12

    The x-intercepts of the parabola are at:

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    The value of is equal to:

  88. 88
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    If , then the value of is:

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    The expression can be written in the form as:

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    NUST Engineering Past Paper-12

    The integral of is

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    The value of is:

  92. 92
    NUST Engineering Past Paper-12

    Find the vertex of the parabola .

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    Find the equation of the tangent to the hyperbola at the point .

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    Evaluate for .

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    Evaluate .

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    If are the roots of , find .

  97. 97
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    For , find the value of at which achieves its maximum.

  98. 98
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    Given that is a root of , determine the quotient when this polynomial is divided by .

  99. 99
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    In triangle , the area is , angle , and side . Determine side .

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    NUST Engineering Past Paper-12

    A radioactive reaction decays to . How many α and β particles are emitted?

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    The time taken by the entire electron pulse to reach anode in Geiger Muller tube is

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    Geiger Muller counter can be used to determine the

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    In a nuclear reaction, which of the following is conserved?

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    NUST Engineering Past Paper-12

    The half-life (T) and the disintegration constant (λ) of a radioactive substance are related as

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    NUST Engineering Past Paper-12

    Which of the following is true?

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    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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    For better resolution and clear visibility through a microscope we use

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    Which of the following processes will result in a fission reaction?

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    The radius of the third orbit of hydrogen atom is

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    The number of neutrons 'N' is equal to

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    When a hydrogen atom is raised from the ground state to an excited state

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    In a step-up transformer when the alternating voltage increases, the alternating current

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    NUST Engineering Past Paper-12

    The temperature scale which is independent of the nature of the working substance is

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    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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    NUST Engineering Past Paper-12

    The heat engine operating in reverse is called

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    The frequencies of X-rays, γ-rays and ultraviolet rays are respectively a, b, and c. Then

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    Emitter of the transistor has greater concentration of impurity as compared to

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    Find the average speed of an oxygen molecule at

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    The lifetime of an ordinary excited state is

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    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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    The horizontal range of a projectile, at a certain place, depends upon:

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    The dot product of two vectors is negative if

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    Resistive forces are:

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    NUST Engineering Past Paper-12

    SI unit of the intensity of a wave is

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    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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    The error of any measurement may occur due to

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    The unit of Planck's constant h is same as that of

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    If and are non-parallel vectors, then the direction of is

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    If , then the angle between and is

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    The magnitude of displacement is

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    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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    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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    The torque on a body will be zero if the angle between and is

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    The rain drop falling from the sky reaches the ground with

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    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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    The damping depends upon

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    NUST Engineering Past Paper-12

    The locus of all points in the same phase of vibration is called

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    To get five images of a single object, one should have two plane mirrors at an angle of

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    NUST Engineering Past Paper-12

    Brownian motion increases due to

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    Which of the following statements is correct for any thermodynamic system?

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    Triple point of water is

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    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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    A conducting wire is drawn to double its length. The final resistivity of the material will be

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    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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    NUST Engineering Past Paper-12

    The wave nature of an electron is illustrated by its:

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    NUST Engineering Past Paper-12

    In alternating current, the average power delivered during a cycle is

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    If the peak of a sine wave is 8 V, the peak-to-peak value is

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    NUST 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:

  149. 149
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    The electronic circuits which implement the various logical operations are known as

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    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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    Capacitors store

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    Ratio of electrical constant to gravitational constant is approximately:

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    Unit of emf?

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    Which of the following converts heat energy into electrical energy?

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    NUST 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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    When the ohmmeter measures the infinite resistance, its pointer lies at

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    When carrying electricity on long distances, step-up transformers are used to:

  158. 158
    NUST Engineering Past Paper-12

    Impedance in an RLC series circuit is given by

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    NUST 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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    Identify the word with the correct spelling.

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    Choose the synonym of 'PAUCITY'.

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    Identify the grammatical error: 'He has been (A) / working here (B) / since (C) / five years (D).'

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    NUST Engineering Past Paper-12

    Change to Passive Voice: 'The boys were playing Cricket.'

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    Select the correct spelling.

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    Select the correct meaning of the idiom: 'At daggers drawn'.

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    NUST Engineering Past Paper-12

    Complete the sentence: 'If I ______ a king, I would help the poor.'

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    Choose the synonym of 'AUDACIOUS'.

  168. 168
    NUST Engineering Past Paper-12

    Find the correctly spelled word.

  169. 169
    NUST Engineering Past Paper-12

    Change to Passive Voice: 'The boy laughed at the beggar.'

  170. 170
    NUST Engineering Past Paper-12

    Choose the antonym of 'FRUGAL'.

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    Identify the grammatical error: 'Neither of the two candidates (A) / are (B) / fit for (C) / the post (D).'

  172. 172
    NUST Engineering Past Paper-12

    What is the meaning of 'APIARY'?

  173. 173
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    Identify the correctly spelled word.

  174. 174
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    Select the correct meaning of the idiom: 'To smell a rat'.

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    NUST Engineering Past Paper-12

    Complete the sentence: 'The train ______ before I reached the station.'

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    NUST Engineering Past Paper-12

    Identify the correct indirect speech: I said to him, 'Why are you working so hard?'

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    NUST Engineering Past Paper-12

    Sentence Correction: 'Each of the students (A) / have finished (B) / their (C) / homework (D).'

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    NUST Engineering Past Paper-12

    Choose the synonym of 'ABRIDGE'.

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    Choose the antonym of 'AMBIGUOUS'.

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    Identify the grammatical error: 'He is (A) / one of the tallest boy (B) / in the (C) / class (D).'

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    Select the correct word for: 'A person who hates mankind.'

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    Change to Passive Voice: 'They will demolish the entire block.'

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    NUST Engineering Past Paper-12

    Complete the sentence: 'He is addicted ______ gambling.'

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    NUST Engineering Past Paper-12

    Which of these is the correct spelling?

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    NUST Engineering Past Paper-12

    Choose the synonym of 'INDOLENT'.

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    Select the correctly spelled word.

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    Select the correct meaning of the idiom: 'Cold comfort'.

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    NUST Engineering Past Paper-12

    Choose the word most similar to 'CONJECTURE'.

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    NUST Engineering Past Paper-12

    Choose the correctly spelled word.

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    Choose the antonym of 'ANCIENT'.

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    Complete the sentence: 'Hardly had he reached the school ______ the bell rang.'

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    Choose the synonym of 'MALICE'.

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    Select the correct word for: 'One who is expert in the field of art, music, or knowledge.'

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    NUST Engineering Past Paper-12

    Change to Passive Voice: 'They drew a circle in the morning.'

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    Choose the antonym of 'RIGID'.

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    NUST Engineering Past Paper-12

    Identify the grammatical error: 'Suppose if (A) / it rains (B) / what shall (C) / we do? (D)'

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    NUST Engineering Past Paper-12 NUST Engineering Past Paper-15

    Pick the word closest in meaning to 'Transient':

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    Pick the option that best defines the verb 'Bode':

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    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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    NUST Engineering Past Paper-12

    Pick the word closest in meaning to 'Calumnious':