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NET 2 Mock Test

NET 2 Mock Test

  1. The amplitude of \(z= -1\) is:

  2. The polar form of \(-1+\sqrt{3}\)  i is :

  3. \(\left(\frac{1-i}{1+i}\right)^{100}=x+iy\) then

  4. Real component of \((4 - i)^2\) is:

  5. The cube root of unity

  6. Let z be a complex number, if  \(n=\frac{1}{2}\) ,\(\theta=90^o\) then

  7. \((-1+\sqrt{-3})^4+(-1-\sqrt{-3})^4=\)

  8. Which of the following statement is true?

    • Every Complex number is real number
    • Every real number is Complex Number

  9. The number of finite sets which are closed under addition

  10. Which of following is regarded as "Pure Complex Number"?

    • Imaginary Number
    • Real Number

  11. If \(A\) has \(3\) elements and \(B\) has \(6\) elements, then minimum number of elements in \(A\cup B\)  is:

  12. The number of all possible proper subsets of \(\{2,3,5\}\) is:

  13. If \(A\cup B=B\cup C\) then

  14. The only group under addition is

  15. ~\(B\to\) ~\(A\) is the inverse of:

  16. Let \(A\) be a square matrix , \(|A^{-1}| =\)

  17. The matrix $$ A = \begin{bmatrix} 0 & 0 \\ 0 & 1+i \end{bmatrix} $$

  18. If the matrices \(A\) and \(B\) have the orders \(2\times3\) and \(5\times2\) respectively, then the order of \(BA\) is:

  19. Diagonal Matrix can never be:

  20. If \(A\) be a matrix of order \(2\times2\) as: $$ \begin{bmatrix} 1 & 2 \\ 4 & 5 \end{bmatrix} $$ then \(A_{22}\)

  21. If \(\alpha\) and \(\beta\) are roots of \(x^2-6x+k=0\) and \(\alpha^2+ \beta^2=30\) , then find value of \(k\) is

  22. The cube root of \(-64\) are

  23. The ratio of the sum and product of roots of \(7x^2-12x+18=0\) is

  24. The quadratic equation whose roots are reciprocal of the roots of equation \(3x^2-20x+17=0\) is

  25. \(\frac{x}{2}\) is an/a:

  26. A sequence the reciprocal of whose terms form again same type of sequence is:

  27. If \(y= \frac{2}{3}x + \frac{4}{9}x^2 + \frac{8}{27}x^3+\).... then

  28. \(a^2\), \(b^2\), \(c^2\) are in G.P if:

  29. Two A.Ms between \(5\) and \(11\) are:

  30. Sum of the series \(0.2 + 0.02 + 0.002\) … up to infinite terms is:

  31. What is the G.M of \(32\) and \(64\)?

  32. Number containing three digits, repetition NOT allowed are:

  33. The number of squares formed on Chess board is

  34. If coin is tossed \(6\) times , then probability of getting at least once head

  35. The number of permutation of \(n\) different things taken \(r\) at a time when repetition is allowed is:

  36. If the sum of all the exponents of \((a+x)^n\) is \(56\) then:

  37. The term free of \(t\) in \(\frac{4t+ 5}{t}^8\) is:

  38. A coin is tossed \(8\) times , then probability of getting a head \(5\) times is:

  39. The angle between the minute hand and the other hour hand of a clock when the time is \(8:30\) is

  40. \(1^o =\)

  41. The trigonometric ratio of \(\frac{13\pi}{3}\) are same as that of

  42. The sign of \(\tan 2140^o\) is

  43. \(\sec A \cdot \csc A \cdot \sin A \cdot \cos A = 1\) if

  44. If \(\sin\alpha = \cos\beta\) in any triangle, \(\Delta ABC\), then:

  45. \(rr_1r_2r_3\)=

  46. If \(\Delta ABC\), \(b=\sqrt{3}\) and \(c=1\), given that \(\alpha=30^o\), find a

  47. If in \(\Delta ABC\), \(\tan A+\tan B+\tan C>0\) , then the triangle is:

  48. The ratio of sides of triangle \(\Delta ABC\) is \(1:\sqrt{3}:2\) hen angles are in ratio:

  49. The range of the function \(2 \sin 7x\) is:

  50. The domain of \(\tan 3x\) is:

  51. Period of \(\sin^7x\) is:

  52. Range of \(\tan^{-1} \csc x\) is:

  53. \(\sin^{-1}x+\sin^{-1}\sqrt{1-x^2}\) is equal to:

  54. If \(\tan\theta=\sqrt{3}\) , then value of \(\theta\) is

  55. If \(f(x)=\frac{5x+1}{2x+3}\)  , then \(f^{-1}(x)=\)

  56. \(\tan^{-1} \cos (\cos 6\pi/7)\)

  57. \(\lim\limits_{x\to0} \frac{\tan^{-1}x}{x}\)

  58. \(\lim\limits_{x\to0} \frac{\sin 3x}{\sin 5x}\)

  59. The function \(y=ax^2+bx+c\) has a minimum value if

  60. \(f(x)=x^x\) is minimum at

  61. Derivative of \(x^9\) w.r.t \(x^2\)  is:

  62. If \(y=\tan^{-1} (\sec \frac{x+1}{x-1}) + \tan^{-1} (\sin {x-1}{x+1})\) , then \(dy/dx=\)

  63. Primitive of \(\frac{x+4}{x+3} dx =\)

  64. Integral of \(|x-1| dx =\)? whereas upper limit is \(2\) and lower limit is \(0\).

  65. The equation of a line perpendicular to a given line \(ax+by+c=0\) is

  66. The joint of \((-3,2)\) and \((4,6)\) is cut by x-axis in ratio ______ externally:

  67. Equation of line having slope \(3\) making x-intercept \(5\) is

  68. A pair of lines represented by \(ax^2+2hxy+by^2=0\) are imaginary if

  69. A quadrilateral whose diagonals are always perpendicular to each other:

  70. The perpendicular distance of a line \(12x+5y=7\) from the origin is:

  71. The point at which is the maximum value of \(3x+2y\) subject to the constraints \(x+y\leq2\), \(x\geq0\), \(y\geq0\) is obtained is:

  72. Eccentricity of Earth is:

  73. General equation of second degree \(Ax^2+By^2+Cx+Dy+E=0\) represents a circle if:

  74. Transverse axis of hyperbola \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) is

  75. Radius of the circle \(13x^2+13y^2-52x+39y=0\) is:

  76. Which of the following is equivalent to \(3x^2-x<2\)?

  77. The area bounded by the x-axis and curve \(y=4x-x^2\) is:

  78. Unit place of \(7^{84}\) is :

  79. For a parabola ,\(y^2=4y-4x\) , the vertex is:

  80. Which one of these is the biggest?

  81. Physics: (Q 81-100)

  82. Which pair has the same dimension?

  83. If \(x_1= 10.5\pm0.1 cm\) and \(x_2=26.8\pm0.1 cm\) . then \(x_2-x_1\) is given by:

  84. Jiffy is unit of

  85. The percentage errors in the measurement of mass and speed are \(2\)% and \(3\)% respectively. The maximum error in the calculation of K.E will be:

  86. Volume of sphere having radius \(19 cm\) is

  87. What are dimensions of \(a\) and \(b\) in \(F= at+at^2\) ?

  88. Two vectors are of magnitude \(50\) and \(31\), the resultant might be:

  89. The vector  \(1/\sqrt{2}\hat{i} + 1/\sqrt{2}\hat{j}\) is a

  90. \((\hat{j}\times\hat{j})\cdot\hat{i}\)

  91. In case of projectile , what is the angle between velocity and acceleration at highest point?

  92. Two fighter Plane \(A\) and \(B\) are taken a flight. It's directed that Fighter plane \(B\) is following to fight \(A\). What is the effect on the speed of pursued plane (Fighter Plane \(B\)) when it returns the fire whereas fighter plan \(A\) opens its fire firstly?

  93. Which of the following has no acceleration?

  94. For an angle less  _____ the height reached by projectile and range both will be less

  95. Time taken by a projectile is

  96. A book of mass \(5 kg\) is placed on the table, what is the magnitude of force acting on the book?

  97. When a body is falling down under the action of gravity, then direction of acceleration is:

  98. What is the power of a body if \(1N\) force is acted upon a body have a constant velocity \(10 m/s\)?

  99. The escape velocity of a body from the earth is \(v\). If the radius of Earth contracts \(1/4\)th of its value. Keep the mass of earth constant. The escape velocity will become

  100. All the food you eat in a day has same energy as  ____ liter of petrol?

  101. Centrifugal force is:

  102. The earth revolves around the sun in one year, if the distance them is doubled then new period of revolution  will be

  103. When a wheel, \(1 m\) in diameter makes \(30 \text{rev}/\text{min}\), the linear speed of point on its rim in \(m/s\) is_____

  104. If \(T\) is to be increased \(3T\), then the length of pendulum will be

  105. If a hole is dug to the center of the Earth and a ball is dropped in it, the ball will:

  106. The motion of the particle executing SHM  is given by \(x=0.01 \sin 100 pit\) , where \(x\) is in meter and time is in second.  The time period will be

  107. Confining of a wave into one plane  is called

  108. Wave fronts coming from the tube light is

  109. Blue colored source is seen red if

  110. The speed of sound is greatest in

  111. In interference, energy _____ destroyed.

  112. Sky Appears blue due to:

  113. Poise is the unit of:

  114. An air bubble in water acts as;

  115. Very sharp images are produced by which of following?

  116. \(\gamma=1.67\) for ___ gas

  117. At boiling point, ___ remains constant?

  118. Two identical conducting spheres \(A\) and \(B\) carry charges \(Q\). They are separated by a distance much larger than  their diameters. A third identical conducting sphere \(C\) carries Charge \(2Q\). Sphere \(C\) is first touched to \(A\), then to \(B\) and finally removed. As a result the electrostatic force between \(A\) and \(B\), which was originally \(F\) becomes;

  119. Energy stored in Capacitor is represented by:

  120. If an electron is moving along +ive x-axis and where \(V=5x+3\) then it

  121. Two charges are separated by distance \(r\) in the presence of which of the following the force between them will be minimum?

  122. When some charge is given to a soap bubble it:

  123. When wood is replaced by air as dielectric. Then the capacitance of capacitor

  124. What is constant of proportionality in Ohm's Law:

  125. Three resistors \(R_1\),\(R_2\),\(R_3\) are connected in series .If \(R_1>R_2>R_3\), the equivalent resistance will be:

  126. EEG is related to:

  127. The brightness of the spot on the screen is controlled by:

  128. Transformer can't step up:

  129. If the current flow increases 100 times , then the energy stored in Inductor  will be increased to:

  130. The frequency of A.C used in Pakistan is:

  131. Voltage _____ the current  in RC Circuit?

  132. Which of the following material has maximum Elasticity ?

  133. Semiconductors  have conductivity order of:

  134. At least how many diodes are required to convert fully A.C into D.C

  135. A diode can be used as:

  136. Twin paradox is the consequence of:

  137. Sunlight will emit the electrons when striking on which of the following

  138. A black body is :

  139. Rest mass energy of electron is:

  140. If \(N_o\) is the original number of atoms of radioactive element then number of decayed atoms after two half lives is

  141. Which of the following has the highest ionizing power and least penetrating power?

  142. Chemistry (Q 141-170)

  143. Mass spectrometer can be used  to find:

  144. The mass of one mole of electron is:

  145. During the process of crystallization , the hot saturated solutions :

  146. A real gas obeying Van der Waals equation will resemble ideal gas if:

  147. The deviation of a gas from the ideal behavior is maximum at:

  148. Which of the following is a pseduo solid?

  149. When water freezes at \(0^oC\) , its density decrease due to:

  150. Quantum number values for \(2p\) orbitals are;

  151. Splitting of spectral lines  when the atoms are subjected to strong electric field is called:

  152. In the ground state of an atom, the electron is present:

  153. Pumping of water uphill is:

  154. Hess's Law is special case of:

  155. For a spontaneous reaction,

  156. Dipole moment of \(CO_2\) is:

  157. Which of the following is least reactive;

  158. Which of the following molecules are polar in nature:

  159. The catalyst used in the Heber's Process:

  160. The pH of rain Water at \(25^oC\) is:

  161. If the difference of \(pKa\)  values of two acids is two , then acid with small \(pKa\) is stronger than other

  162. Molarity of pure water is:

  163. Opal is an example of solution

  164. The molarity of \(2\)% of w/w solution of NaOH solution is:

  165. Solubility of which salt is unaffected by change in temperature:

  166. The anti freezing agent used in the automobile radiator is:

  167. Oxidation number of sulphur in \(S_2O_3^{2-}\) is

  168. Molecular formula of starch is:

  169. \(\beta-\beta'\) dicholoethyl sulphide is commonly known as:

  170. The benzene molecule contains:

  171. Which of the following is not a nucleophile?

  172. Phenol is also known as;

  173. English (Q 171-190)

  174. Select the correct Sentence:

  175. Select the correct Sentence:

  176. Rabia is a noted dentist ______ in the region:

  177. The whale shark is found in equatorial deep waters around the world, it is ____ encountered by divers

  178. Analogy: IRON: BLACKSMITH ::

  179. Analogy: KNIFE: CUT::

  180. "Pacify" is most opposite to

  181. "Candid" is most opposite to

  182. Which word is most dissimilar in meaning to the word provided? "ANIMOSITY"

  183. Select the word that is closest in meaning to the word provided. "Voracious":

  184. Select the word that is closest in meaning to the word "ABSCOND"

  185. Select the word that is closest in meaning to the word provided. "Auspicious"

  186. Select the word that is closest in meaning to the word. "SOPHISTICATED"

  187. Select the word that is closest in meaning to the word. "OMINOUS"

  188. Select the word that is closest in meaning to the word. "ARODOUS"

  189. Guess the correct meaning of give phrase/idiom: "To drive home"

  190. Select the correct Spelling:

  191. Guess the correct spelling:

  192. Reading Comprehension:

    I felt the wall of the tunnel shiver. The master alarm squealed through my earphones. Almost simultaneously, Jack yelled down to me that there was a warning light on. Fleeting but spectacular sights snapped into ans out of view, the snow, the shower of debris, the moon, looming close and big, the dazzling sunshine for once unfiltered by layers of air. The last twelve hours before re-entry were particular bone-chilling. During this period, I had to go up in to command module. Even after the fiery re-entry splashing down in 81º water in south pacific, we could still see our frosty breath inside the command module.

    Which one of the following reasons would one consider as more as possible for the warning lights to be on?

  193. Select the correct spelling:

  194. IQ Portion (Q 191-200)

  195. What come next in the following sequence  \(2, 9, 28,\) ?

  196. What comes next in the sequence \(2,3,5,7,\)?

  197. Direction Finding

    Ahmad goes \(30m\) North, then turns right and walks \(40m\), then again turns right and walks \(20m\), then again turns right and walks \(40m\). How many metres is he from his original position?

  198. Direction Finding:

    Ali wants to go to the university. He starts from his home which is in the East and comes to a crossing. The road to the left ends in a theatre, straight ahead is the hospital. In which direction is the university?

  199. Pick the odd one out

  200. Pick the odd one out

  201. Coding/Decoding

    If in a certain language FASHION is coded as FOIHSAN, how is PROBLEM coded in that code?

  202. If BAT stands for CDQ then PEN stands for?

  203. Select the correct option for "?" \(11\)  \(28\)   \(45\) \(14\)  \(31\)   \(48\) \(13\)  \(30\)    ?

  204. \(A\), \(B\), \(C\) and \(D\) are playing cards. \(A\) and \(B\) are partners. \(D\) faces towards North. If \(A\) faces towards West, then who faces towards South?

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