question_answer1) Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
A) \[\sqrt{8}\] done clear
B) \[\sqrt{2/17}\] done clear
C) \[\sqrt{1/8}\] done clear
D) \[\sqrt{32/17}\] done clear
View Answer play_arrowquestion_answer2) A man, standing between two cliffs, claps his hands and starts hearing a series of echoes at intervals of one second. If the speed of sound in air is\[340\,\,m{{s}^{-1}}\], the distance between the cliffs is
A) 680 m done clear
B) 1700 m done clear
C) 340 m done clear
D) 1620 m done clear
View Answer play_arrowquestion_answer3) A beam of light of wavelength 600 nm from a source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of the central bright fring is
A) 2.4 cm done clear
B) 2.4 mm done clear
C) 1.2 mm done clear
D) 1.2 cm done clear
View Answer play_arrowquestion_answer4) A thin plano-convex lens acts like a concave mirror of focal length 0.2 m when silvered from its plane surface. The refractive index of the material of the lens is 1.5. The radius of curvature of the convex surface of the lens will be
A) 0.1 m done clear
B) 0.75 m done clear
C) 0.4 m done clear
D) 0.2 m done clear
View Answer play_arrowquestion_answer5) A balloon is rising vertically up with a velocity of\[29\,\,m{{s}^{-1}}\]. A stone is dropped from it and it reaches the ground in\[10\,\,s\]. The height of the balloon when the stone was dropped from it is \[(g=9.8m{{s}^{-1}})\]
A) 400 m done clear
B) 150 m done clear
C) 100 m done clear
D) 200 m done clear
View Answer play_arrowquestion_answer6) In a Youngs double slit experiment, the separation between the two slits is 0.9 mm and the fringes are observed one metre away. If it produces the second dark fringe at a distance of 1 mm from the central fringe, the wavelength of the monochromatic source of light used is
A) 450 nm done clear
B) 400 nm done clear
C) 500 nm done clear
D) 600 nm done clear
View Answer play_arrowquestion_answer7) A count rate meter shows a count of 240 per minute from a given radioactive source. One hour later the meter shows a count rate of 30 per minute. The half-life of the source is
A) 80 min done clear
B) 120 min done clear
C) 20 min done clear
D) 30 min done clear
View Answer play_arrowquestion_answer8) Two conductors of the same material have their diameters in the ratio\[1:2\]and their lengths in the ratio\[2:1\]. If the temperature difference between their ends is the same, then the ratio of amounts of heat conducted per second through them will be
A) 4 : 1 done clear
B) 1 : 4 done clear
C) 8 : 1 done clear
D) 1 : 8 done clear
View Answer play_arrowquestion_answer9) An ideal gas heat engine operates in a Carnots cycle between\[{{227}^{o}}C\]and\[{{127}^{o}}C\]. It absorbs\[6\times {{10}^{4}}J\]at high temperature. The amount of heat converted into work is
A) \[1.6\times {{10}^{4}}J\] done clear
B) \[1.2\times {{10}^{4}}J\] done clear
C) \[4.8\times {{10}^{4}}J\] done clear
D) \[3.5\times {{10}^{4}}J\] done clear
View Answer play_arrowquestion_answer10) Effective capacitance between\[A\]and\[B\]in the figure shown is (all capacitances are in\[\mu F\])
A) \[\frac{3}{14}\mu F\] done clear
B) \[\frac{14}{3}\mu F\] done clear
C) \[21\,\,\mu F\] done clear
D) \[23\,\,\mu F\] done clear
View Answer play_arrowquestion_answer11) When the bob of a simple pendulum swings, the work done by tension in the string is
A) > 0 done clear
B) < 0 done clear
C) zero done clear
D) maximum done clear
View Answer play_arrowquestion_answer12) For a particle executing simple harmonic motion, the kinetic energy\[K\]is given by\[K={{K}_{0}}{{\cos }^{2}}\omega t\]. The maximum value of potential energy is
A) \[{{K}_{0}}\] done clear
B) zero done clear
C) \[{{K}_{0}}/2\] done clear
D) not obtainable done clear
View Answer play_arrowquestion_answer13) A particle is moving along a circular path of radius\[5m\]with a uniform speed\[5m{{s}^{-1}}\]. What will be the average acceleration when the particle completes half revolution?
A) Zero done clear
B) \[10\,\,m{{s}^{-2}}\] done clear
C) \[10\pi \,\,m{{s}^{-2}}\] done clear
D) \[\frac{10}{\pi }\,\,m{{s}^{-2}}\] done clear
View Answer play_arrowquestion_answer14) \[ECE\]of copper is\[3.3\times {{10}^{-7}}kg/C\]. If\[100\,\,kWh\] energy is consumed at\[33\,\,V\]in a copper voltameter, then mass of copper liberated is
A) 3.6 kg done clear
B) 3.3 kg done clear
C) 1 kg done clear
D) 1 mg done clear
View Answer play_arrowquestion_answer15) In non-resonant circuit, what will be the nature of the circuit for frequencies higher than the resonant frequency?
A) Resistive done clear
B) Capacitive done clear
C) Inductive done clear
D) None of these done clear
View Answer play_arrowquestion_answer16) A spot of light S rotates in a horizontal plane with a constant angular velocity of\[0.1\,\,rad/s\]. The spot of light P moves along the wall at a distance of\[3m\]from\[S\]. The velocity of spot\[P\], where\[\theta ={{45}^{o}}\], is
A) \[~0.5\,\,m/s\] done clear
B) \[0.6\,\,m/s\] done clear
C) \[0.7\,\,m/s\] done clear
D) \[0.8\,\,m/s\] done clear
View Answer play_arrowquestion_answer17) A balloon contains\[500\,\,{{m}^{3}}\]of Heat\[{{27}^{o}}C\]and 1 atmospheric pressure. The volume of Heat\[-{{3}^{o}}C\]and\[0.5\]atmospheric pressure will be
A) \[700\,\,{{m}^{3}}\] done clear
B) \[900\,\,{{m}^{3}}\] done clear
C) \[1000\,\,{{m}^{3}}\] done clear
D) \[500\,\,{{m}^{3}}\] done clear
View Answer play_arrowquestion_answer18) Which of the following is different from others?
A) Wavelength done clear
B) Velocity done clear
C) Frequency done clear
D) Amplitude done clear
View Answer play_arrowquestion_answer19) The breaking force for a wire of diameter\[D\]of a material is\[F\]. The breaking force for a wire of the same material of radius\[D\]is
A) \[F\] done clear
B) \[2F\] done clear
C) \[\frac{F}{4}\] done clear
D) \[4F\] done clear
View Answer play_arrowquestion_answer20) If pressure of a gas contained in a closed vessel is increased by\[0.4%\]when heated by\[{{1}^{o}}C\], its initial temperature must be
A) \[250\,\,K\] done clear
B) \[{{250}^{o}}C\] done clear
C) \[2500\,\,K\] done clear
D) \[{{25}^{o}}C\] done clear
View Answer play_arrowquestion_answer21) In an electromagnetic wave, the electric and magnetizing fields are\[100\,\,V/m\]and\[0.265\,\,A/m\]. The maximum energy flow is
A) \[26.5\,\,W/{{m}^{2}}\] done clear
B) \[36.5\,\,W/{{m}^{2}}\] done clear
C) \[46.7\,\,W/{{m}^{2}}\] done clear
D) \[765\,\,W/{{m}^{2}}\] done clear
View Answer play_arrowquestion_answer22) A bullet of mass\[10\,\,g\]is fired from a gun of mass\[1\,\,kg\]with recoil velocity of gun is\[5m/s\]. The muzzle velocity will be
A) 30 km/min done clear
B) 60 km/min done clear
C) 30 m/s done clear
D) 500 m/s done clear
View Answer play_arrowquestion_answer23) Work done by air when it expands from\[50\,\,L\] to\[150\,\,L\]at a constant pressure of 2 atmosphere is
A) \[2\times {{10}^{4}}J\] done clear
B) \[2\times 100J\] done clear
C) \[2\times {{10}^{11}}J\] done clear
D) \[2\times {{10}^{15}}J\] done clear
View Answer play_arrowquestion_answer24) In an electron gun, the control grid is given a negative potential, relative to cathode in order to
A) accelerate the electrons done clear
B) decrease\[KE\]of electrons done clear
C) repel the electrons done clear
D) decelerate the electrons done clear
View Answer play_arrowquestion_answer25) In an LCR circuit having\[L=8H,\,\,C=0.5\mu F\]and \[R=100\Omega \]in series, the resonance frequency in\[rad/s\]is
A) \[600\] done clear
B) \[200\] done clear
C) \[250/\pi \] done clear
D) \[500\] done clear
View Answer play_arrowquestion_answer26) Power of a lens is\[-4\,\,D\]and for second lens, power is\[+2D;\]the total power of the couple is
A) \[-2\,\,D\] done clear
B) \[6\,\,D\] done clear
C) \[-6\,\,D\] done clear
D) \[-8\,\,D\] done clear
View Answer play_arrowquestion_answer27) In which one of the following regions of the electromagnetic spectrum will the vibrational motion of molecules give rise to absorption?
A) Ultraviolet done clear
B) Microwave done clear
C) Infrared done clear
D) Radio wave done clear
View Answer play_arrowquestion_answer28) During inelastic collision of two particles
A) \[{{(KE)}_{final}}={{(KE)}_{initial}}\] done clear
B) \[{{(KE)}_{final}}\]must be greater than\[{{(KE)}_{initial}}\] done clear
C) \[{{(KE)}_{final}}\]must be less than\[{{(KE)}_{initial}}\] done clear
D) \[{{(KE)}_{final}}\]must be greater or less than\[{{(KE)}_{initial}}\] done clear
View Answer play_arrowquestion_answer29) Two gases are at absolute temperatures\[300\,\,K\]and\[350\,\,K\]respectively. The ratio of average kinetic energy of their molecules is
A) \[6:7\] done clear
B) \[36:49\] done clear
C) \[7:6\] done clear
D) \[343:216\] done clear
View Answer play_arrowquestion_answer30) The current in a coil changes from\[0\]to\[2A\]in\[0.05\,\,s\]. If the induced emf is\[80\,\,V\], the self-inductance of the coil is,
A) \[1\,\,H\] done clear
B) \[0.5\,\,H\] done clear
C) \[1.5\,\,H\] done clear
D) \[2\,\,H\] done clear
View Answer play_arrowquestion_answer31) Equal volumes of monoatomic and diatomic gases at the same temperature are given equal quantities of heat. Then,
A) the temperature of diatomic gas will be more done clear
B) the temperature of monoatomic gas will be more done clear
C) the temperature of both will be zero done clear
D) nothing can be said done clear
View Answer play_arrowquestion_answer32) A copper wire and a steel wire of the same diameter and length are joined end to end and a force is applied which stretches their combined length by 1 cm. Then, the two wires will have
A) the same stress and strain done clear
B) the same stress but different strains done clear
C) the same strain but different stresses done clear
D) different stresses and strains done clear
View Answer play_arrowquestion_answer33) The length of the seconds pendulum is decreased by 0.3 cm when it is shifted to Chennai from London. If the acceleration due to gravity at London is \[981\,\,cm/{{s}^{2}}\], the acceleration due to gravity at Chennai is
A) \[981\,\,cm/{{s}^{2}}\] done clear
B) \[978\,\,cm/{{s}^{2}}\] done clear
C) \[984\,\,cm/{{s}^{2}}\] done clear
D) \[975\,\,cm/{{s}^{2}}\] done clear
View Answer play_arrowquestion_answer34) How does, the electric field\[(E)\]between the plates of a charged cylindrical capacitor vary, with the distance r from the axis of the cylinder?
A) \[E\propto \frac{1}{{{r}^{2}}}\] done clear
B) \[E\propto \frac{1}{r}\] done clear
C) \[E\propto {{r}^{2}}\] done clear
D) \[E\propto r\] done clear
View Answer play_arrowquestion_answer35) A thin bar magnet of length\[2L\]is bent at the mid-point so that the angle between them is\[{{60}^{o}}C\]. The new length of the magnet is
A) \[\sqrt{2}L\] done clear
B) \[\sqrt{3}L\] done clear
C) \[2\,\,L\] done clear
D) \[L\] done clear
View Answer play_arrowquestion_answer36) A capacitor is connected to a cell of emf E and some internal resistance\[r\]. The potential difference across the
A) cell is\[E\] done clear
B) cell is\[<E\] done clear
C) capacitor is\[<E\] done clear
D) capacitor is\[>E\] done clear
View Answer play_arrowquestion_answer37) The radius of the smallest electron orbit in hydrogen-like ion is\[(0.51\times {{10}^{-10}}/4)m\], then it is
A) hydrogen atom done clear
B) \[H{{e}^{+}}\] done clear
C) \[L{{i}^{2+}}\] done clear
D) \[B{{e}^{3+}}\] done clear
View Answer play_arrowquestion_answer38) de-Broglie wavelength of a body of mass\[1\,\,kg\]moving with velocity of\[2000\,\,m/s\]is
A) \[3.32\times {{10}^{-27}}\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
B) \[1.5\times {{10}^{7}}\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
C) \[0.55\times {{10}^{-22}}\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer39) A voltmeter of resistance\[998\Omega \]is connected across a cell of emf\[2\,\,V\]and internal resistance\[2\Omega \]. The potential difference across the voltmeter is
A) \[1.99\,\,V\] done clear
B) \[3.5\,\,V\] done clear
C) \[5\,\,V\] done clear
D) \[6\,\,V\] done clear
View Answer play_arrowquestion_answer40) If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance will
A) goes on increasing done clear
B) goes on decreasing done clear
C) first increase and then decrease done clear
D) remains the same done clear
View Answer play_arrowquestion_answer41) A mass\[3m\], initially at rest at the origin explodes into three fragments of equal mass. Two of the fragments have speed\[v\]each and move perpendicular to each other. The third fragment will move with a speed
A) \[\frac{v}{\sqrt{2}}\] done clear
B) \[\frac{v}{2}\] done clear
C) \[v\] done clear
D) \[v\sqrt{2}\] done clear
View Answer play_arrowquestion_answer42) A nucleus X initially at rest, undergoes alpha decay according to the equation \[_{92}{{X}^{A}}{{\to }_{Z}}{{Y}^{228}}+\alpha \] Then, the value of\[A\]and\[Z\]are
A) \[94,\,\,230\] done clear
B) \[232,\,\,90\] done clear
C) \[190,\,\,32\] done clear
D) \[230,\,\,94\] done clear
View Answer play_arrowquestion_answer43) The energy gap between the valence band and the conduction band for a material .is\[6\,\,eV\]. The material is
A) an insulator done clear
B) a metal done clear
C) an intrinsic semiconductor done clear
D) a superconductor done clear
View Answer play_arrowquestion_answer44) When the inputs of a two input logic gate are 0 and 0, the output is 1. When the inputs are 1 and 0 the output is 0. The logic gate is of the type,
A) AND done clear
B) NAND done clear
C) NOR done clear
D) OR done clear
View Answer play_arrowquestion_answer45) If a transistor biased in the common-emitter mode, the emitter current is
A) much smaller than base current done clear
B) much larger than base current done clear
C) nearly equal to the base current done clear
D) much smaller than the collector current done clear
View Answer play_arrowquestion_answer46) A sound has an intensity of\[2\times {{10}^{-8}}\,\,W/{{m}^{2}}\]. Its intensity level in decibels is\[({{\log }_{10}}2=0.3)\]
A) 23 done clear
B) 3 done clear
C) 43 done clear
D) 4.3 done clear
View Answer play_arrowquestion_answer47) A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of\[{{240}^{o}}\]. Then, the number of images observable is
A) 3 done clear
B) 5 done clear
C) 7 done clear
D) 9 done clear
View Answer play_arrowquestion_answer48) If\[1\,\,A\]of current is passed through\[CuS{{O}_{4}}\]solution for\[10\,\,s\], the number of copper atoms deposite at the cathode will be about
A) \[1.6\times {{10}^{20}}\] done clear
B) \[8\times {{10}^{19}}\] done clear
C) \[3.1\times {{10}^{19}}\] done clear
D) \[6.2\times {{10}^{19}}\] done clear
View Answer play_arrowquestion_answer49) Two points\[A\]and\[B\]are situated at distance\[x\]and\[2x\]respectively from the nearer pole of a magnet\[2\,\,cm\]long. The ratio of magnetic field at\[A\]and\[B\]is
A) 4 : 1 exactly done clear
B) 4 : 1 approximately done clear
C) 8 : 1 exactly done clear
D) 8 : 1 approximately done clear
View Answer play_arrowquestion_answer50) Electromagnetic waves travel only through
A) material medium done clear
B) vacuum done clear
C) oscillating electric and magnetic fields done clear
D) oscillating electric and magnetic fields whose directions are perpendicular to each other done clear
View Answer play_arrowquestion_answer51) The ratio of magnetic moments of two short magnets which give null deflection in\[\tan B\]position at\[12\,\,cm\]and\[18\,\,cm\]from the centre of a deflection magnetometer is
A) 2 : 3 done clear
B) 8 : 27 done clear
C) 27 : 8 done clear
D) 4 : 9 done clear
View Answer play_arrowquestion_answer52) A\[220\,\,V\]main supply is connected to a resistance of\[100k\Omega \]. The effective current is
A) \[2.2\,\,mA\] done clear
B) \[2.2\sqrt{2}mA\] done clear
C) \[\frac{2.2}{\sqrt{2}}mA\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer53) Two bodies of different masses\[{{m}_{1}}\]and\[{{m}_{2}}\]have equal momenta. Their kinetic energies\[{{E}_{1}}\]and\[{{E}_{2}}\]are in the ratio
A) \[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\] done clear
B) \[{{m}_{1}}:{{m}_{2}}\] done clear
C) \[{{m}_{2}}:{{m}_{1}}\] done clear
D) \[m_{1}^{2}:m_{2}^{2}\] done clear
View Answer play_arrowquestion_answer54) When the light enters from air to glass, for which Colour the angle of deviation is maximum?
A) Red done clear
B) Yellow done clear
C) Blue done clear
D) Violet done clear
View Answer play_arrowquestion_answer55) Two waves are represented by\[{{y}_{1}}=A\sin (kx-\omega t)\]and\[{{y}_{2}}=A\cos (kx-\omega t)\]. The amplitude of resultant wave is
A) \[4\,\,A\] done clear
B) \[2\,\,A\] done clear
C) \[\sqrt{2}A\] done clear
D) \[A\] done clear
View Answer play_arrowquestion_answer56) An atom of mass M which is in the state of rest emits a photon of wavelength\[\lambda \]. As a result, the atom will deflect with the kinetic energy equal to (\[h\]is Plancks constant)
A) \[\frac{{{h}^{2}}}{M{{\lambda }^{2}}}\] done clear
B) \[\frac{1}{2}\frac{{{h}^{2}}}{M{{\lambda }^{2}}}\] done clear
C) \[\frac{h}{M\lambda }\] done clear
D) \[\frac{1}{2}\frac{h}{M\lambda }\] done clear
View Answer play_arrowquestion_answer57) If the angular momentum of any rotating body increases by 200%, then the increase in its kinetic energy is
A) \[400%\] done clear
B) \[800%\] done clear
C) \[200%\] done clear
D) \[100%\] done clear
View Answer play_arrowquestion_answer58) A cylindrical tank has a hole of\[1\,\,c{{m}^{2}}\]in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of\[70\,\,c{{m}^{2}}/s\], then the maximum height up to which water can rise in the tank is
A) 2.5 cm done clear
B) 5 cm done clear
C) 10 cm done clear
D) 0.25 cm done clear
View Answer play_arrowquestion_answer59) X-rays and y-rays of the same energies may be distinguished by
A) their velocity done clear
B) their ionizing power done clear
C) their intensity done clear
D) method of production done clear
View Answer play_arrowquestion_answer60) Which of the following materials is non-crystalline?
A) Copper done clear
B) Sodium chloride done clear
C) Wood done clear
D) Diamond done clear
View Answer play_arrowquestion_answer61) The vapour density of\[{{N}_{2}}{{O}_{4}}\]at a certain temperature is 30. What is the percentage dissociation of\[{{N}_{2}}{{O}_{4}}\]at this temperature?
A) 46% done clear
B) 53% done clear
C) 75% done clear
D) 92% done clear
View Answer play_arrowquestion_answer62) Four different colloids have the following gold number, which one has the most effective action?
A) 5 done clear
B) 10 done clear
C) 15 done clear
D) 13 done clear
View Answer play_arrowquestion_answer63) In which of the following case, increase in concentration of ion cause increase in\[{{E}_{cell}}\]?
A) \[Pt({{H}_{2}})|{{H}^{+}}(aq)\] done clear
B) \[Pt|Quinhydrone|{{H}^{+}}(aq)\] done clear
C) \[Ag|A{{g}^{+}}(aq)\] done clear
D) \[Ag,\,\,AgCl|C{{l}^{-}}(aq)\] done clear
View Answer play_arrowquestion_answer64) The relative lowering of vapour pressure of an aqueous solution containing a non-volatile solute is 0.0125. The molality of the solution is
A) 0.70 done clear
B) 0.30 done clear
C) 0.125 done clear
D) 0.07 done clear
View Answer play_arrowquestion_answer65) Which of the following is known as Glaubers salt?
A) \[N{{a}_{2}}{{S}_{2}}{{O}_{3}}\cdot 5{{H}_{2}}O\] done clear
B) \[N{{a}_{2}}S{{O}_{4}}\cdot 10{{H}_{2}}O\] done clear
C) \[N{{a}_{2}}C{{O}_{3}}\cdot 10{{H}_{2}}O\] done clear
D) \[Na(N{{H}_{4}})HP{{O}_{4}}\] done clear
View Answer play_arrowquestion_answer66) \[PhCHClBr\xrightarrow{tBu{{O}^{-}}}Carbene\] In the above reaction which of the following will be most probable?
A) \[_{\bullet }^{\bullet }CHBr\] done clear
B) \[_{\bullet }^{\bullet }CHCl\] done clear
C) \[_{\bullet }^{\bullet }CPhBr\] done clear
D) \[_{\bullet }^{\bullet }CPhCl\] done clear
View Answer play_arrowquestion_answer67) Which of the following alcohol is unable to turn orange colour of chromic acid to green?
A) \[1{}^\circ \]alcohol done clear
B) \[2{}^\circ \]alcohol done clear
C) \[3{}^\circ \]alcohol done clear
D) Allyl alcohol done clear
View Answer play_arrowquestion_answer68) Which of the following test is performed by carbohydrates?
A) Biuret test done clear
B) Nitroprusside test done clear
C) Ninhydrin test done clear
D) Molischs test done clear
View Answer play_arrowquestion_answer69) Which of the following is not used as propellant?
A) Hydrazine done clear
B) UDMH done clear
C) MMH done clear
D) Phenyl hydrazine done clear
View Answer play_arrowquestion_answer70) Which of the following species have the same number of electrons in its outermost as well as penultimate shell?
A) \[C{{l}^{-}}\] done clear
B) \[{{O}^{2-}}\] done clear
C) \[N{{a}^{+}}\] done clear
D) \[M{{g}^{2+}}\] done clear
View Answer play_arrowquestion_answer71) Which of the following is the formula of Sorels cement?
A) \[KCl\cdot MgC{{l}_{2}}\cdot 6{{H}_{2}}O\] done clear
B) \[MgC{{l}_{2}}\cdot 5MgO\cdot x{{H}_{2}}O\] done clear
C) \[CaS{{O}_{4}}\cdot 2{{H}_{2}}O\] done clear
D) \[MgC{{O}_{3}}\cdot CaC{{O}_{3}}\] done clear
View Answer play_arrowquestion_answer72) \[{{S}_{\text{(rhombic)}}}+{{O}_{2}}(g)\xrightarrow{{}}S{{O}_{2}}(g),\] \[\Delta H=-297.5\,\,kJ\] \[{{S}_{(monoclinic)}}+{{O}_{2}}(g)\xrightarrow{{}}S{{O}_{2}}(g),\] \[\Delta H=-300\,\,kJ\] The data can predict that
A) rhombic sulphur is yellow in colour done clear
B) monoclinic sulphur has metallic lusture done clear
C) monoclinic sulphur is more stable done clear
D) \[\Delta {{H}_{transition}}\]of\[{{S}_{R}}\]to\[{{S}_{M}}\]is endothermic done clear
View Answer play_arrowquestion_answer73) Which of the following is a measurement of water pollution?
A) PSC done clear
B) PCB done clear
C) BOD done clear
D) COD done clear
View Answer play_arrowquestion_answer74) The half-life period of a first order process is 1.6 min. It will be 90% complete in
A) 5.3 min done clear
B) 10.6 min done clear
C) 43.3mm done clear
D) 99.7 min done clear
View Answer play_arrowquestion_answer75) Which of the following is tetrabasic acid?
A) Orthophosphorus acid done clear
B) Orthophosphoric acid done clear
C) Metaphosphoric acid done clear
D) Pyrophosphoric acid done clear
View Answer play_arrowquestion_answer76) . Which of the following order for bond angles is correct?
A) \[B{{F}_{3}}<N{{H}_{3}}<P{{F}_{3}}<CI{{F}_{3}}\] done clear
B) \[B{{F}_{3}}<N{{F}_{3}}<P{{F}_{3}}<CI{{F}_{3}}\] done clear
C) \[CI{{F}_{3}}<P{{F}_{3}}<N{{F}_{3}}<B{{F}_{3}}\] done clear
D) \[B{{F}_{3}}\approx N{{F}_{3}}<P{{F}_{3}}<CI{{F}_{3}}\] done clear
View Answer play_arrowquestion_answer77) The triad of the nuclei that is isotonic, is
A) \[_{6}{{C}^{14}},\,{{\,}_{7}}{{N}^{14}},\,{{\,}_{9}}{{N}^{19}}\] done clear
B) \[_{6}{{C}^{14}},\,{{\,}_{7}}{{N}^{15}},\,{{\,}_{9}}{{F}^{17}}\] done clear
C) \[_{6}{{C}^{14}},\,{{\,}_{7}}{{N}^{14}},\,{{\,}_{9}}{{F}^{17}}\] done clear
D) \[_{6}{{C}^{12}},\,{{\,}_{7}}{{N}^{14}},\,{{\,}_{9}}{{F}^{19}}\] done clear
View Answer play_arrowquestion_answer78) The oxidation number of cobalt in\[K[Co{{(CO)}_{4}}]\]is
A) \[-1\] done clear
B) \[-3\] done clear
C) \[+1\] done clear
D) \[+3\] done clear
View Answer play_arrowquestion_answer79) Out of\[Cu,\,\,Ag,\,\,Fe\]and\[Zn\], the metal which can displace all others from their salt solution, is
A) \[Zn\] done clear
B) \[Cu\] done clear
C) \[Ag\] done clear
D) \[Fe\] done clear
View Answer play_arrowquestion_answer80) Which of the following has magic number of neutrons?
A) \[_{13}A{{l}^{27}}\] done clear
B) \[_{26}F{{e}^{56}}\] done clear
C) \[_{83}B{{i}^{209}}\] done clear
D) \[_{92}{{U}^{238}}\] done clear
View Answer play_arrowquestion_answer81) If\[{{K}_{a}}\]of\[HCN=4\times {{10}^{-10}}\], then the\[pH\]of\[2.5\times {{10}^{-1}}\]molar\[HCN(aq)\]is
A) 1 done clear
B) 2.5 done clear
C) 4 done clear
D) 5 done clear
View Answer play_arrowquestion_answer82) A coffee cup calorimeter initially contains\[125g\]of water at a temperature of\[{{24.2}^{o}}C\]. After adding of\[10.5g\]of\[KBr\], the temperature becomes\[{{21.1}^{o}}C\]. The heat of solution is
A) \[40\,\,J/g\] done clear
B) \[117\,\,J/g\] done clear
C) \[167.7\,\,J/g\] done clear
D) \[420.05\,\,J/g\] done clear
View Answer play_arrowquestion_answer83) What product is formed when cyclohexanone is oxidised?
A) \[HOOC\cdot {{(C{{H}_{2}})}_{4}}\cdot COOH\] done clear
B) \[C{{H}_{3}}C{{H}_{2}}COOH\] done clear
C) \[C{{H}_{3}}{{(C{{H}_{2}})}_{4}}\cdot COOH\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer84) The reaction \[C{{H}_{3}}CN+4H\xrightarrow{Na/{{C}_{2}}{{H}_{5}}OH}C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}\]is known as
A) Hofmanns bromamide reaction done clear
B) Mendius reaction done clear
C) Perkins reaction done clear
D) Sabatier reaction done clear
View Answer play_arrowquestion_answer85) Action of\[B{{r}_{2}}\]on cyclopentene gives
A) cyclopentyl bromide done clear
B) 1, 2 - dibromo cyclopentane done clear
C) cyclopentyl dibromide done clear
D) no reaction done clear
View Answer play_arrowquestion_answer86) In a face-centred cubic arrangement of\[A\]and\[B\]atoms whose\[A\]atoms are at the corner of the unit cell and\[B\]atoms at the face-centre, one of\[A\]atom is missing from one corner in the unit cell. The simplest formula of the compound is
A) \[{{A}_{24}}{{B}_{7}}\] done clear
B) \[{{A}_{7}}{{B}_{24}}\] done clear
C) \[{{A}_{7}}{{B}_{4}}\] done clear
D) \[A{{B}_{2}}\] done clear
View Answer play_arrowquestion_answer87) Beryllium shows diagonal relationship with
A) \[B\] done clear
B) \[Mg\] done clear
C) \[Al\] done clear
D) \[Na\] done clear
View Answer play_arrowquestion_answer88) A compound has the molecular formula\[{{X}_{4}}{{O}_{6}}\]. If\[10g\]of\[{{X}_{4}}{{O}_{6}}\]has\[5.72\,\,g\,\,X\], then calculate atomic mass of\[X\]
A) 32 amu done clear
B) 64 amu done clear
C) 67 amu done clear
D) 98 amu done clear
View Answer play_arrowquestion_answer89) Which of the following is Rinmanns green?
A) \[ZnO\] done clear
B) \[ZnS+BaS{{O}_{4}}\] done clear
C) \[ZnS{{O}_{4}}\cdot 7{{H}_{2}}O\] done clear
D) \[ZnO\cdot CaO\] done clear
View Answer play_arrowquestion_answer90) For the valence electron in copper, the four quantum numbers are
A) \[n=4,\,\,l=0,\,\,m=0,\,\,s=\frac{1}{2}\] done clear
B) \[n=4,\,\,l=0,\,\,m=+2,\,\,s=\frac{1}{2}\] done clear
C) \[n=4,\,\,l=1,\,\,m=+2,\,\,s=\frac{1}{2}\] done clear
D) \[n=4,\,\,l=1,\,\,m=0,\,\,s=\frac{1}{2}\] done clear
View Answer play_arrowquestion_answer91) Geometry of\[B{{F}_{3}}\]is
A) trigonal planar done clear
B) pentagonal done clear
C) trihedral done clear
D) tetrahedral done clear
View Answer play_arrowquestion_answer92) Which of the following will represent the normality of 10%\[(w/V)\]acetic acid?
A) \[1.66\,\,N\] done clear
B) \[16.6\,\,N\] done clear
C) \[3.32\,\,N\] done clear
D) \[33.2\,\,N\] done clear
View Answer play_arrowquestion_answer93) The oxidation number of sulphur in\[{{H}_{2}}{{S}_{2}}{{O}_{8}}\]is
A) +2 done clear
B) +4 done clear
C) +6 done clear
D) +7 done clear
View Answer play_arrowquestion_answer94) Which of the following reaction requires catalyst?
A) \[S+{{O}_{2}}\xrightarrow{{}}S{{O}_{2}}\] done clear
B) \[C+{{O}_{2}}\xrightarrow{{}}C{{O}_{2}}\] done clear
C) \[2S{{O}_{2}}+{{O}_{2}}\xrightarrow{{}}2S{{O}_{3}}\] done clear
D) All of the above done clear
View Answer play_arrowquestion_answer95) \[{{N}_{2}}(g)+3{{H}_{2}}(g)2N{{H}_{3}}(g)+22\,\,kcal\] The activation energy for the forward reaction is 50 kcal. What is the activation energy for the backward reaction?
A) \[72\text{ }kcal\] done clear
B) \[28\text{ }kcal\] done clear
C) \[-72\text{ }kcal\] done clear
D) \[-28\text{ }kcal\] done clear
View Answer play_arrowquestion_answer96) Malonic acid and succinic acid are distinguished by
A) heating done clear
B) \[NaHC{{O}_{3}}\] done clear
C) both (a) and (b) done clear
D) None of these done clear
View Answer play_arrowquestion_answer97) When chloroform is treated with chlorine in the presence of sunlight, it yields
A) urotropine done clear
B) pyrene done clear
C) chloropicrin done clear
D) chloritone done clear
View Answer play_arrowquestion_answer98) Which of the following areand?
A) Both are done clear
B) Both are done clear
C) respectively. done clear
D) respectively. done clear
View Answer play_arrowquestion_answer99) Which of the following will explain synthesis of RNA?
A) Translation done clear
B) Coagulation done clear
C) Transcription done clear
D) Replication done clear
View Answer play_arrowquestion_answer100) Which of the following is a narrow spectrum antibiotics?
A) Penicillin G done clear
B) Dettol done clear
C) Aspirin done clear
D) Analgin done clear
View Answer play_arrowquestion_answer101) When aniline reacts with oil of bitter almonds, condensation takes place and benzyl derivatives are formed. These are known as
A) Millons base done clear
B) Schiffs reagent done clear
C) Benedict reagent done clear
D) Schiffs base done clear
View Answer play_arrowquestion_answer102) Which of the following is correct about\[(A),\,\,(B)\]and\[(C)\]?
A) A, B and C are anomers done clear
B) A and C are anomers done clear
C) A, B and C are metamers done clear
D) None of the above done clear
View Answer play_arrowquestion_answer103) The\[IUPAC\]name ofis
A) bicyclo (2, 1, 0) pentane done clear
B) 1, 2-cyclopropyl cyclobutane done clear
C) 1, 2-methylene cyclobutane done clear
D) cyclopentane (4, 3) annulene done clear
View Answer play_arrowquestion_answer104) In the conversion of ethanol into methanol which of the following reagents will be used?
A) \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}/{{H}_{2}}S{{O}_{4}}\] done clear
B) \[NaOH+CaO\] done clear
C) \[C{{l}_{2}}+aq.KOH\] done clear
D) All of these done clear
View Answer play_arrowquestion_answer105) PDI for natural polymers is generally close to
A) zero done clear
B) 1 done clear
C) 10 done clear
D) 100 done clear
View Answer play_arrowquestion_answer106) Which of the following is diamagnetic?
A) \[{{H}_{2}}\] done clear
B) \[H_{2}^{-}\] done clear
C) \[H_{2}^{+}\] done clear
D) \[He_{2}^{+}\] done clear
View Answer play_arrowquestion_answer107) Which of the following is a property of non-metal?
A) Electronegativity done clear
B) Basic nature of oxide done clear
C) Reducing property done clear
D) Low ionisation potential done clear
View Answer play_arrowquestion_answer108) One mole of ice is converted into water at\[273\text{ }K\]. The entropies of\[{{H}_{2}}O(s)\]and\[{{H}_{2}}O(l)\]are\[38.20\]and\[60.01\,\,J\,\,mo{{l}^{-1}}{{K}^{-1}}\]respectively. The enthalpy change for the conversion is
A) \[3\,\,kJ\,\,mo{{l}^{-1}}\] done clear
B) \[4\,\,kJ\,\,mo{{l}^{-1}}\] done clear
C) \[5\,\,kJ\,\,mo{{l}^{-1}}\] done clear
D) \[6\,\,kJ\,\,mo{{l}^{-1}}\] done clear
View Answer play_arrowquestion_answer109) Complete the following reaction, \[{{P}_{4}}+NaOH+{{H}_{2}}O\xrightarrow{{}}?\]
A) \[P{{H}_{3}}+N{{a}_{2}}HP{{O}_{2}}\] done clear
B) \[P{{H}_{3}}+Na{{H}_{2}}P{{O}_{2}}\] done clear
C) \[{{H}_{3}}P{{O}_{4}}+NaO\] done clear
D) \[P{{H}_{3}}+N{{a}_{2}}P{{O}_{4}}\] done clear
View Answer play_arrowquestion_answer110) The elevation in boiling point would be highest for
A) \[0.08\,\,M\,\,BaC{{l}_{2}}\] done clear
B) \[0.15\,\,M\,\,KCl\] done clear
C) \[0.10\,\,M\]Glucose done clear
D) \[0.06\,\,M\,\,Ca{{(N{{O}_{3}})}_{2}}\] done clear
View Answer play_arrowquestion_answer111) What is the magnetic moment of\[{{[Fe{{F}_{6}}]}^{3-}}\]?
A) 2 BM done clear
B) 5.9 BM done clear
C) 7BM done clear
D) 35 BM done clear
View Answer play_arrowquestion_answer112) In the given reaction, identify compound\[C\]?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer113) The ratio of rate of diffusion of hydrogen and helium gas is
A) \[1:1.4\] done clear
B) \[1:1\] done clear
C) \[1.4:1\] done clear
D) \[1:2\] done clear
View Answer play_arrowquestion_answer114) The reaction, known as
A) substitution reaction done clear
B) addition reaction done clear
C) elimination reaction done clear
D) None of the above done clear
View Answer play_arrowquestion_answer115) Which of the following is responsible for hardness of water?
A) \[CaHC{{O}_{3}}\] done clear
B) \[CaC{{l}_{2}}\] done clear
C) Both (a) and (b) done clear
D) None of these done clear
View Answer play_arrowquestion_answer116) Which of the following is differ in nature from others?
A) Vasopressin done clear
B) Thyroid done clear
C) Oxytocin done clear
D) Insulin done clear
View Answer play_arrowquestion_answer117) Indigo is an example of
A) vat dye done clear
B) mordant dye done clear
C) azo dye done clear
D) phthalein dye done clear
View Answer play_arrowquestion_answer118) Solder is an alloy of lead with
A) \[Cu\] done clear
B) \[Fe\] done clear
C) \[Sn\] done clear
D) \[Zn\] done clear
View Answer play_arrowquestion_answer119) An aqueous solution contains following ions: \[Hg_{2}^{2+},\,\,H{{g}^{2+}},\,\,P{{b}^{2+}}\]and\[C{{d}^{2+}}\].On adding\[HCl\], which of these will precipitate?
A) \[H{{g}_{2}}C{{l}_{2}}\] done clear
B) \[PbC{{l}_{2}}\] done clear
C) \[H{{g}_{2}}C{{l}_{2}}\]and\[PbC{{l}_{2}}\] done clear
D) \[HgC{{l}_{2}}\]and\[PbC{{l}_{2}}\] done clear
View Answer play_arrowquestion_answer120) Which of the following molecules/species are aromatic in nature?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer121) The sum of the series\[1+\frac{{{2}^{2}}}{2!}+\frac{{{3}^{2}}}{3!}+\frac{{{4}^{2}}}{4!}+...\]is
A) \[2e\] done clear
B) \[3e\] done clear
C) \[2e-1\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer122) If\[f(x)={{x}^{2}}+2bx+2{{c}^{2}}\]and\[g(x)=-{{x}^{2}}+2cx+{{b}^{2}}\] are such that\[f(x)>\max g(x)\], then relation between\[b\]and \[c\]is
A) no relation done clear
B) \[0<c<\frac{b}{2}\] done clear
C) \[|c|<\sqrt{2}|b|\] done clear
D) \[|c|\,\,>\sqrt{2}|b|\] done clear
View Answer play_arrowquestion_answer123) If\[\left| \frac{{{z}_{1}}}{{{z}_{2}}} \right|=1\]and\[({{z}_{1}}{{z}_{2}})=0\], then
A) \[{{z}_{1}}={{z}_{2}}\] done clear
B) \[{{\left| {{z}_{2}} \right|}^{2}}={{z}_{1}}{{z}_{2}}\] done clear
C) \[{{z}_{1}}{{z}_{2}}=1\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer124) If\[\cos A=m\cos B\], and \[\cot \frac{A+B}{2}=\lambda \tan \frac{B-A}{2}\], then\[\lambda \]is
A) \[\frac{m}{m-1}\] done clear
B) \[\frac{m+1}{m}\] done clear
C) \[\frac{m+1}{m-1}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer125) In a triangle, the angle are in\[AP\]and the lengths of the two larger sides are 10 and 9, respectively, then the length of the third side can be
A) \[5\pm \sqrt{6}\] done clear
B) \[0.7\] done clear
C) \[15-\sqrt{6}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer126) The complex number\[z=x+iy\]which satisfy the equation\[\left| \frac{z-5i}{z+5i} \right|=1\], lie on
A) the x-axis done clear
B) the straight line\[y=5\] done clear
C) a circle passing through the origin done clear
D) None of the above done clear
View Answer play_arrowquestion_answer127) If\[x>1,\,\,y>1,\,\,z>1\]are in\[GP\], then\[\frac{1}{1+\ln x}\],\[\frac{1}{1+\ln y}\],\[\frac{1}{1+\ln z}\]are in
A) \[AP\] done clear
B) HP done clear
C) \[GP\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer128) If\[\frac{{{e}^{x}}}{1-x}={{B}_{0}}+{{B}_{1}}x+{{B}_{2}}{{x}^{2}}+...+{{B}_{n}}{{x}^{n}}+...\], then \[{{B}_{n}}-{{B}_{n-1}}\]equals
A) \[\frac{1}{n!}\] done clear
B) \[\frac{1}{(n-1)!}\] done clear
C) \[\frac{1}{n!}-\frac{1}{(n-1)!}\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer129) lf\[f(x)=\left\{ \begin{matrix} \frac{\sin [x]}{[x]}, & [x]\ne 0 \\ 0, & [x]=0 \\ \end{matrix} \right.\] where\[[x]\]denotes the greatest integer less than or equal to\[x\], then\[\underset{x\to 0}{\mathop{\lim }}\,f(x)\]equals
A) \[1\] done clear
B) \[0\] done clear
C) \[-1\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer130) If\[y(t)\]is a solution of\[(1+t)\frac{dy}{dt}-ty=1\]and\[y(0)=-1\], then\[y(1)\]equal to
A) \[-\frac{1}{2}\] done clear
B) \[e+\frac{1}{2}\] done clear
C) \[e-\frac{1}{2}\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowquestion_answer131) The locus of the mid-points of the chord of the circle\[{{x}^{2}}+{{y}^{2}}=4\]which subtends a right angle at the origin, is
A) \[x+y=2\] done clear
B) \[{{x}^{2}}+{{y}^{2}}=1\] done clear
C) \[{{x}^{2}}+{{y}^{2}}=2\] done clear
D) \[x+y=1\] done clear
View Answer play_arrowquestion_answer132) From a point A common tangents are drawn to the circle\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}/2\]and parabola\[{{y}^{2}}=4ax\]. The area of the quadrilateral formed by the common tangents to the chord of contact of the parabola is
A) \[\frac{15{{a}^{3}}}{4}\]sq units done clear
B) \[\frac{15{{a}^{2}}}{4}\]sq units done clear
C) \[\frac{7{{a}^{2}}}{4}\]sq units done clear
D) \[\frac{{{a}^{2}}}{4}\]sq units done clear
View Answer play_arrowquestion_answer133) Let\[\omega =-\frac{1}{2}+i\frac{\sqrt{3}}{2}\], then value of the determinant\[\left| \begin{matrix} 1 & 1 & 1 \\ 1 & -1-{{\omega }^{2}} & {{\omega }^{2}} \\ 1 & {{\omega }^{2}} & \omega \\ \end{matrix} \right|\]is
A) \[3\omega \] done clear
B) \[3\omega (\omega -1)\] done clear
C) \[3{{\omega }^{2}}\] done clear
D) \[3\omega (1-\omega )\] done clear
View Answer play_arrowquestion_answer134) The harmonic mean of the root of the equation\[(5+\sqrt{2}){{x}^{2}}-(4+\sqrt{5})x+8+2\sqrt{5}=0\]is
A) 2 done clear
B) 4 done clear
C) 6 done clear
D) 8 done clear
View Answer play_arrowquestion_answer135) Domain of the function\[\log |{{x}^{2}}-9|\]is
A) \[R\] done clear
B) \[R-[-3,\,\,3]\] done clear
C) \[R-\{-3,\,\,3\}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer136) Let\[f:R\to R\]be such that\[f(1)=3\]and\[f(1)=6\]. Then,\[\underset{x\to 0}{\mathop{\lim }}\,{{\left[ \frac{f(1+x)}{f(1)} \right]}^{1/x}}\]equals
A) \[1\] done clear
B) \[{{e}^{1/2}}\] done clear
C) \[{{e}^{2}}\] done clear
D) \[{{e}^{3}}\] done clear
View Answer play_arrowquestion_answer137) The value of\[[\mathbf{a}\,\,\mathbf{a}+\mathbf{b}\,\,\mathbf{a}+\mathbf{b}+\mathbf{c}]\]is
A) \[{{[\mathbf{abc}]}^{2}}\] done clear
B) \[[\mathbf{abc}]\] done clear
C) \[2[\mathbf{abc}]\] done clear
D) \[3[\mathbf{abc}]\] done clear
View Answer play_arrowquestion_answer138) If\[\mathbf{a}=-\mathbf{i}+2\mathbf{j}-\mathbf{k}\],\[\mathbf{b}=\mathbf{i}+\mathbf{j}-3\mathbf{k}\]and\[\mathbf{c}=-4\mathbf{i}-\mathbf{k}\], then\[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})+(\mathbf{a}\cdot \mathbf{b})\mathbf{c}\]
A) \[5\mathbf{i}+5\mathbf{j}-15\mathbf{k}\] done clear
B) \[0\] done clear
C) \[12\mathbf{j}+4\mathbf{k}\] done clear
D) \[-3\mathbf{i}+6\mathbf{j}-3\mathbf{k}\] done clear
View Answer play_arrowquestion_answer139) If\[I(m,\,\,n)=\int_{0}^{1}{{{t}^{m}}}{{(1+t)}^{n}}dt\], then the expression for\[I(m,\,\,n)\]in terms of\[I(m+1,\,\,n-1)\]is
A) \[\frac{{{2}^{n}}}{m+1}-\frac{n}{m+1}I(m+1,\,\,n-1)\] done clear
B) \[\frac{n}{m+1}I(m+1,\,\,n-1)\] done clear
C) \[\frac{{{2}^{n}}}{m+1}+\frac{n}{m+1}I(m+1,\,\,n-1)\] done clear
D) \[\frac{m}{m+1}I(m+1,\,\,n-1)\] done clear
View Answer play_arrowquestion_answer140) The\[\Delta PQR\]is inscribed in the circle\[{{x}^{2}}+{{y}^{2}}=25.\] If\[Q\]and\[R\]have coordinates (3, 4) and (-4, 3), respectively. Then,\[\angle QPR\]is equal to
A) \[\frac{\pi }{2}\] done clear
B) \[\frac{\pi }{3}\] done clear
C) \[\frac{\pi }{4}\] done clear
D) \[\frac{\pi }{6}\] done clear
View Answer play_arrowquestion_answer141) The equation of directrix of the parabola\[{{y}^{2}}+4y+4x+2=0\]is
A) \[x=-1\] done clear
B) \[x=1\] done clear
C) \[x=-\frac{3}{2}\] done clear
D) \[x=\frac{3}{2}\] done clear
View Answer play_arrowquestion_answer142) If\[a>2b>0\], then positive value of\[m\]for which \[y=mx-b\sqrt{1+{{m}^{2}}}\]is a common tangent to\[{{x}^{2}}+{{y}^{2}}={{b}^{2}}\]and\[{{(x-a)}^{2}}+{{y}^{2}}={{b}^{2}}\]is
A) \[\frac{2b}{\sqrt{{{a}^{2}}-4{{b}^{2}}}}\] done clear
B) \[\frac{\sqrt{{{a}^{2}}-4{{b}^{2}}}}{2b}\] done clear
C) \[\frac{2b}{a-2b}\] done clear
D) \[\frac{b}{a-2b}\] done clear
View Answer play_arrowquestion_answer143) If\[\alpha \in \left[ 0,\,\,\frac{\pi }{2} \right)\], then\[\sqrt{{{x}^{2}}+x}+\frac{{{\tan }^{2}}\alpha }{\sqrt{{{x}^{2}}+x}}\]is always greater than or equal to
A) \[2\tan \alpha \] done clear
B) \[1\] done clear
C) \[2\] done clear
D) \[{{\sec }^{2}}\alpha \] done clear
View Answer play_arrowquestion_answer144) If an edge of a cube measure 2 m with a possible error of 0.5 cm. Find the corresponding error in the calculated volume of the cube
A) \[0.6\,\,{{m}^{3}}\] done clear
B) \[0.06\,\,{{m}^{3}}\] done clear
C) \[0.006\,\,{{m}^{3}}\] done clear
D) \[0.0006\,\,{{m}^{3}}\] done clear
View Answer play_arrowquestion_answer145) Let/be twice differentiable function satisfying \[f(1)=1,\,\,f(2)=4,\,\,f(3)=9\],then
A) \[f(x)=2,\,\,\forall \,\,x\in R\] done clear
B) \[f(x)=5=f(x)\]. For some\[x\in (1,\,\,3)\] done clear
C) there exists atleast one\[x\in (1,\,\,3)\]such that\[f(x)=2\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer146) The order of the differential equation whose general solution is given by \[y=({{C}_{1}}+{{C}_{2}})\cos (x+{{C}_{3}})-{{C}_{4}}{{e}^{x+{{C}_{5}}}}\] where,\[{{C}_{1}},\,\,{{C}_{2}},\,\,{{C}_{3}},\,\,{{C}_{4}},\,\,{{C}_{5}}\]are arbitrary constants, is
A) 5 done clear
B) 4 done clear
C) 3 done clear
D) 2 done clear
View Answer play_arrowquestion_answer147) Evaluate\[\int{(\sqrt{\tan x}+\sqrt{\cot x})\,\,dx}\]
A) \[\sqrt{2}{{\tan }^{-1}}(\sqrt{\tan x}-\sqrt{\cot x})+C\] done clear
B) \[\frac{2}{\sqrt{2}}{{\tan }^{-1}}x+C\] done clear
C) \[\sqrt{2}{{\tan }^{-1}}\left( \frac{\sqrt{\tan x}-\sqrt{\cot x}}{\sqrt{2}} \right)+C\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer148) In an election, number of candidates exceeds the number to be elected by 2. A man can vote in 56 ways. Then, the number of candidates is
A) 5 done clear
B) 6 done clear
C) 7 done clear
D) 8 done clear
View Answer play_arrowquestion_answer149) The curve described parametrically by \[x={{t}^{2}}+t+1,\,\,y={{t}^{2}}-t+1\]represents
A) a pair of straight lines done clear
B) an ellipse done clear
C) a parabola done clear
D) a hyperbola done clear
View Answer play_arrowquestion_answer150) Tangent is drawn to ellipse\[\frac{{{x}^{2}}}{27}+\frac{{{y}^{2}}}{1}=1\]at\[(3\sqrt{3}\cos \theta ,\,\,\sin \theta )\], where\[\left( \theta \in \left( 0,\,\,\frac{\pi }{2} \right) \right)\]. Then, the value of\[\theta \]such that the sum of intercept on axes made by this tangent is minimum, is
A) \[\frac{\pi }{3}\] done clear
B) \[\frac{\pi }{6}\] done clear
C) \[\frac{\pi }{8}\] done clear
D) \[\frac{\pi }{4}\] done clear
View Answer play_arrowquestion_answer151) Suppose\[a,\,\,b,\,\,c\]are in\[AP\] and\[{{a}^{2}},\,\,{{b}^{2}},\,\,{{c}^{2}}\]are in\[GP\]. If\[a<b<c\]and\[a+b+c=\frac{3}{2}\], then the value of\[a\]is
A) \[\frac{1}{2\sqrt{2}}\] done clear
B) \[\frac{1}{2\sqrt{3}}\] done clear
C) \[\frac{1}{2}-\frac{1}{\sqrt{3}}\] done clear
D) \[\frac{1}{2}-\frac{1}{\sqrt{2}}\] done clear
View Answer play_arrowquestion_answer152) The function\[f(x)=\frac{\ln (1+ax)-\ln (1-bx)}{x}\]is not defined at\[x=0\]. The value which should be assigned to\[f\]at\[x=0\]so that it is continuous at\[x=0\],is
A) \[a-b\] done clear
B) \[a+b\] done clear
C) \[a-b\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer153) Domain of definition of function\[f(x)=\sqrt{{{\sin }^{-1}}(2x)+\frac{\pi }{6}}\]for real-valued of\[x\], is
A) \[\left[ -\frac{1}{4},\,\,\frac{1}{2} \right]\] done clear
B) \[\left[ -\frac{1}{2},\,\,\frac{1}{2} \right]\] done clear
C) \[\left[ -\frac{1}{2},\,\,\frac{1}{9} \right]\] done clear
D) \[[0,\,\,\pi ]\] done clear
View Answer play_arrowquestion_answer154) If\[x\,\,dy=y(dx+y\,\,dy)\],\[y(1)=1\]and\[y(x)>0\]. Then,\[y(-3)\]is equal to
A) 3 done clear
B) 2 done clear
C) 1 done clear
D) 0 done clear
View Answer play_arrowquestion_answer155) Evaluate\[\int{\frac{(x-1){{e}^{x}}}{{{(x+1)}^{3}}}dx}\]
A) \[0\] done clear
B) \[\frac{{{(x+1)}^{2}}}{{{e}^{x}}}+C\] done clear
C) \[\frac{{{e}^{x}}}{{{(x+1)}^{2}}}+C\] done clear
D) \[\frac{{{e}^{x}}}{{{(x-1)}^{2}}}+{{(x+1)}^{2}}+C\] done clear
View Answer play_arrowquestion_answer156) If\[a={{\log }_{2}}3,\,\,b={{\log }_{2}}5,\,\,c={{\log }_{7}}2\], then\[{{\log }_{140}}63\]in terms of\[a,\,\,b,\,\,c\]is
A) \[\frac{2ac+1}{2a+abc+1}\] done clear
B) \[\frac{2ac+1}{2a+c+a}\] done clear
C) \[\frac{2ac+1}{2c+ab+a}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer157) Local maximum value of the function\[\frac{{{\log }_{e}}x}{x}\]is
A) \[1\] done clear
B) \[e\] done clear
C) \[\frac{1}{e}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer158) \[A+iB\]form of\[\frac{(\cos x+i\sin x)(\cos y+i\sin y)}{(\cot u+i)(1+i\tan v)}\]is
A) \[\sin u\cos v[\cos (x+y-u-v)\]\[+i\sin (x+y-u-v)]\] done clear
B) \[\sin u\cos v[\cos (x+y+u+v)\]\[+i\sin (x+y+u+v)]\] done clear
C) \[\sin u\cos v[\cos (x+y+u+v)\]\[-i\sin (x+y+u+v)\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer159) In the set\[{{Q}^{+}}\]of all positive rational numbers, the operation\[*\]is defined by the formula\[a+b=\frac{ab}{6}\]. Then, the inverse of\[9\]with respect to\[*\]is
A) \[4\] done clear
B) \[3\] done clear
C) \[\frac{1}{9}\] done clear
D) \[\frac{1}{3}\] done clear
View Answer play_arrowquestion_answer160) If\[\alpha +\beta +\gamma =\pi \], then the value of\[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta -{{\sin }^{2}}\gamma \]is equal to
A) \[2\sin \alpha \] done clear
B) \[2\sin \alpha cos\beta sin\gamma \] done clear
C) \[2\sin \alpha \sin \beta \cos \gamma \] done clear
D) \[2\sin \alpha \sin \beta \sin \gamma \] done clear
View Answer play_arrowquestion_answer161) If in\[\Delta \,\,ABC\] \[\frac{2\cos A}{a}+\frac{\cos B}{b}+\frac{2\cos C}{c}=\frac{a}{bc}+\frac{b}{ac}\], then\[{{b}^{2}}+{{c}^{2}}\]is equal to
A) \[{{a}^{2}}\] done clear
B) \[ac\] done clear
C) \[bc\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer162) In any\[\Delta \,\,ABC\], the least value of\[\left( \frac{{{\sin }^{2}}A+\sin A+1}{\sin A} \right)\].
A) \[3\] done clear
B) \[\sqrt{3}\] done clear
C) \[9\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer163) Let\[\lambda \]and\[\alpha \]be real \[\lambda x+\sin \alpha \cdot y+\cos \alpha \cdot z=0\], \[x+\cos \alpha \cdot y+\sin \alpha \cdot z=0\], \[-x+\sin \alpha \cdot y-\cos \alpha \cdot z=0\] has a non-trivial solution. If\[\lambda =1\], then all the values of a is equals
A) \[n\pi +\frac{\pi }{2}\] done clear
B) \[n\pi +\frac{\pi }{4},\,\,n\pi \] done clear
C) \[n\pi +\frac{\pi }{2}\] done clear
D) \[n\pi +\frac{\pi }{4},\,\,\frac{\pi }{4}\] done clear
View Answer play_arrowquestion_answer164) If the roots of the equation \[{{x}^{2}}-2ax+{{a}^{2}}+a-3=0\] are real and less than 3, then
A) \[a<2\] done clear
B) \[2\le a\le 3\] done clear
C) \[3<a\le 4\] done clear
D) \[a>4\] done clear
View Answer play_arrowquestion_answer165) If\[{{z}_{1}}\]and\[{{z}_{2}}\]are two complex numbers such that\[|{{z}_{1}}|\,\,=\,\,|{{z}_{2}}|+|{{z}_{1}}-{{z}_{2}}|\], then
A) \[\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\] done clear
B) \[\operatorname{Re}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\] done clear
C) \[\operatorname{Re}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer166) The number of five digits numbers that can be formed without any restriction is
A) 990000 done clear
B) 10000 done clear
C) 90000 done clear
D) None of these done clear
View Answer play_arrowquestion_answer167) The middle term in the expansion of\[{{\left( {{x}^{2}}+\frac{1}{{{x}^{2}}}+2 \right)}^{n}}\]is
A) \[\frac{n}{{{[(n/2)!]}^{2}}}\] done clear
B) \[-\frac{(2n!)}{{{[(n/2)!]}^{2}}}\] done clear
C) \[\frac{1\cdot 3\cdot 5...(2n+1)}{n!}{{2}^{n}}\] done clear
D) \[\frac{(2n)!}{{{(n!)}^{2}}}\] done clear
View Answer play_arrowquestion_answer168) The value of\[\sin ({{22}^{o}}30)\]is
A) \[\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}\] done clear
B) \[\sqrt{\sqrt{2}-1}\] done clear
C) \[\sqrt{\frac{\sqrt{2}-1}{2\sqrt{2}}}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer169) If\[\frac{\pi }{2}<\theta <\frac{3\pi }{2}\], then the value of\[\sqrt{\frac{1-\sin \theta }{1+\sin \theta }}\]is equal to
A) \[-\sec \theta +\tan \theta \] done clear
B) \[\sec \theta +\tan \theta \] done clear
C) \[\sec \theta -\tan \theta \] done clear
D) None of these done clear
View Answer play_arrowquestion_answer170) If\[\int{\frac{{{2}^{x}}}{\sqrt{1-{{4}^{x}}}}dx=k{{\sin }^{-1}}({{2}^{x}})+C}\], then\[k\]is equal to
A) \[\log 2\] done clear
B) \[\frac{1}{2}\log 2\] done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{1}{\log 2}\] done clear
View Answer play_arrowquestion_answer171) The area of the region bounded by\[y=-1\],\[y=2,\,\,x={{y}^{3}}\]and\[x=0\]is
A) \[\frac{17}{4}sq\,\,units\] done clear
B) \[\frac{1}{4}sq\,\,unit\] done clear
C) \[4\,\,sq\,\,units\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer172) The mid-point of the line joining the common points of the line\[2x-3y+8=0\]and\[{{y}^{2}}=8x\]is
A) \[(3,\,\,2)\] done clear
B) \[(5,\,\,6)\] done clear
C) \[(4,\,\,-1)\] done clear
D) \[(2,\,\,-3)\] done clear
View Answer play_arrowquestion_answer173) The value of\[{{\cos }^{2}}{{48}^{o}}-{{\sin }^{2}}{{12}^{o}}\]is
A) \[\frac{\sqrt{5}+1}{8}\] done clear
B) \[\frac{\sqrt{5}-1}{8}\] done clear
C) \[\frac{\sqrt{5}+1}{16}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer174) The number of solutions of\[{{\sin }^{2}}\theta +3\cos \theta =3\]in\[[-\pi ,\,\,\pi ]\], is
A) 4 done clear
B) 2 done clear
C) 0 done clear
D) None of these done clear
View Answer play_arrowquestion_answer175) The height of the chimney when it is found that on walking towards it 50 m in the horizontal line through its base, the angle of elevation of its top changes from\[{{30}^{o}}\]to\[{{60}^{o}}\], is
A) \[25\sqrt{3}m\] done clear
B) \[25\,\,m\] done clear
C) \[25\sqrt{4}m\] done clear
D) \[\frac{25}{\sqrt{3}}\,\,m\] done clear
View Answer play_arrowquestion_answer176) If\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{3}}+1}{{{x}^{2}}+1}-(ax+b) \right)=2\], then
A) \[a=1,\,\,b=1\] done clear
B) \[a=1,\,\,b=2\] done clear
C) \[a=1,\,\,b=-2\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer177) If\[f(x)=\left\{ \begin{matrix} \frac{|x+2|}{{{\tan }^{-1}}(x+2)}, & x\ne -2 \\ 2, & x=-2 \\ \end{matrix} \right.\], then\[f(x)\]is
A) continuous at\[x=-2\] done clear
B) not continuous at\[x=-2\] done clear
C) differentiable at\[x=-2\] done clear
D) continuous but not derivable at\[x=-2\]. done clear
View Answer play_arrowquestion_answer178) Let\[P\]be any point on the curve\[{{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}.\] Then, the length of the segment of the tangent between the coordinate axes of length
A) \[3a\] done clear
B) \[4a\] done clear
C) \[5a\] done clear
D) \[a\] done clear
View Answer play_arrowquestion_answer179) The motion of a particle along a straight line is described by the function\[x={{(2t-3)}^{2}}\], where\[x\]is in metre and \[t\] is in second. Then, the velocity of the particle at origin is
A) 0 done clear
B) 1 done clear
C) 2 done clear
D) None of these done clear
View Answer play_arrowquestion_answer180) The value of\[\cos \frac{2\pi }{7}+\cos \frac{4\pi }{7}+\cos \frac{6\pi }{7}\]is
A) \[1\] done clear
B) \[-1\] done clear
C) \[\frac{1}{2}\] done clear
D) \[-\frac{1}{2}\] done clear
View Answer play_arrowquestion_answer181) The maximum value of\[3\cos \theta +4\sin \theta \]is
A) \[-5\] done clear
B) \[5\] done clear
C) \[25\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer182) Which of the following is not a statement?
A) Every set is a finite set done clear
B) 8 is less than 6 done clear
C) Where are you going done clear
D) The sum of interior angles of a triangle is\[{{180}^{o}}\] done clear
View Answer play_arrowquestion_answer183) The least positive remainder when\[123\times 125\times 127\]is divided by\[124\]is
A) 4 done clear
B) 120 done clear
C) 121 done clear
D) 130 done clear
View Answer play_arrowquestion_answer184) The vertex connectivity of any tree is
A) one done clear
B) two done clear
C) three done clear
D) None of these done clear
View Answer play_arrowquestion_answer185) A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways this can be done, is
A) 216 done clear
B) 240 done clear
C) 600 done clear
D) 3125 done clear
View Answer play_arrowquestion_answer186) Given positive integers\[r>1,\,\,n>2\]and the coefficient of\[(3r)\text{th}\]and\[(r+2)\text{th}\]terms in the binomial expansion of\[{{(1+x)}^{2n}}\]are equal, then
A) \[n=2r\] done clear
B) \[n=2r+1\] done clear
C) \[n=3r\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer187) The number of solutions of\[{{\log }_{4}}(x-1)={{\log }_{2}}(x-3)\]is
A) 3 done clear
B) 1 done clear
C) 2 done clear
D) 0 done clear
View Answer play_arrowquestion_answer188) The value of\[\lim \frac{\int_{0}^{{{x}^{2}}}{{{\cos }^{2}}t\,\,dt}}{x\sin x}\]is
A) 2 done clear
B) 1 done clear
C) 0 done clear
D) None of these done clear
View Answer play_arrowquestion_answer189) The value of\[\int_{2}^{3}{\frac{\sqrt{x}}{\sqrt{5-x}+\sqrt{x}}}dx\]is
A) 1 done clear
B) 1/2 done clear
C) 2 done clear
D) None of these done clear
View Answer play_arrowquestion_answer190) The solution of differential equation\[({{e}^{x}}+1)y\,\,dy=(y+1){{e}^{x}}\,\,dx\]is
A) \[({{e}^{x}}+1)(y+1)=C{{e}^{y}}\] done clear
B) \[({{e}^{x}}+1)|(y+1)|=C{{e}^{-y}}\] done clear
C) \[({{e}^{x}}+1)(y+1)=\pm C{{e}^{y}}\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer191) The equation of the circle passing through (1, 1) and the points of intersection of\[{{x}^{2}}+{{y}^{2}}+13x-3y=0\]and\[11x+\frac{1}{2}y+\frac{25}{2}=0\]is
A) \[4{{x}^{2}}+4{{y}^{2}}-30x-10y=15\] done clear
B) \[4{{x}^{2}}+4{{y}^{2}}-30x-13y-25=0\] done clear
C) \[4{{x}^{2}}+4{{y}^{2}}-17x-10y+25=0\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer192) The equation of the common tangent to the curves\[{{y}^{2}}=8x\]and\[xy=-1\]is
A) \[3y=9x+2\] done clear
B) \[y=2x+1\] done clear
C) \[2y=x+8\] done clear
D) \[y=x+2\] done clear
View Answer play_arrowquestion_answer193) If\[k\]be the perimeter of the\[\Delta \,\,ABC\], then\[b{{\cos }^{2}}\frac{C}{2}+c{{\cos }^{2}}\frac{B}{2}\]is equal to
A) \[k\] done clear
B) \[2k\] done clear
C) \[\frac{k}{2}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer194) Let\[f(x)\]be a positive function. Let \[{{I}_{1}}=\int_{1-k}^{k}{xf\{x(1-x)\}\,\,dx}\], \[{{I}_{2}}=\int_{k-1}^{k}{f\{x(1-x)\}\,\,dx}\], where\[2k-1>0\], then\[\frac{{{I}_{1}}}{{{I}_{2}}}\]is
A) \[2\] done clear
B) \[k\] done clear
C) \[\frac{1}{2}\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer195) If P is a variable point on the ellipse\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1,\] with\[AA\]as major axis. Then, the maximum value of the area of the\[\Delta \,\,APA\]is
A) \[ab\,\,sq\,\,unit\] done clear
B) \[2\,\,ab\,\,sq\,\,unit\] done clear
C) \[\frac{ab}{2}sq\,\,unit\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer196) In a\[\Delta \,\,ABC\], if\[\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}\]the side\[a=2\], then area of the triangle is
A) \[1\,\,sq\,\,unit\] done clear
B) \[2\,\,sq\,\,units\] done clear
C) \[\frac{\sqrt{3}}{2}sq\,\,units\] done clear
D) \[\sqrt{3}\,\,sq\,\,units\] done clear
View Answer play_arrowquestion_answer197) The area bounded by the curves\[y=|x|-1\]and\[y=-|x|+1\]is
A) \[1\,\,sq\,\,unit\] done clear
B) \[2\,\,sq\,\,units\] done clear
C) \[2\sqrt{2}sq\,\,units\] done clear
D) \[4\,\,sq\,\,units\] done clear
View Answer play_arrowquestion_answer198) The value of the expression\[\sqrt{3}\cos ec{{20}^{o}}-\sec {{20}^{o}}\]is equal to
A) \[2\] done clear
B) \[\frac{2\sin {{20}^{o}}}{\sin {{40}^{o}}}\] done clear
C) \[4\] done clear
D) \[\frac{4\sin {{20}^{o}}}{\sin {{40}^{o}}}\] done clear
View Answer play_arrowquestion_answer199) If in a\[\Delta \,\,PQR\],\[\sin P,\,\,\sin Q,\,\,\sin R\]are in\[AP\], then
A) the altitudes are in\[AP\] done clear
B) the altitudes are in\[HP\] done clear
C) the medians are in\[GP\] done clear
D) the medians are in\[AP\] done clear
View Answer play_arrowquestion_answer200) A man and a woman appears in an interview for two vacancies in the same post. The probability of mans selection is\[\frac{1}{4}\]and that of the womans selection is\[\frac{1}{3}\]. What is the probability that none of them will be selected?
A) \[\frac{1}{2}\] done clear
B) \[\frac{1}{12}\] done clear
C) \[\frac{1}{4}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer201) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
A) The whole country done clear
B) was suffering by done clear
C) a financial crisis. done clear
D) No error done clear
View Answer play_arrowquestion_answer202) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
A) I do not know where could he have gone done clear
B) so early done clear
C) in the morning. done clear
D) No error done clear
View Answer play_arrowquestion_answer203) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
A) I suggest that done clear
B) he goes done clear
C) to the doctor as soon as he returns from taking the examination. done clear
D) No error done clear
View Answer play_arrowquestion_answer204) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
A) The introduction of tea and coffee done clear
B) and such other beverages done clear
C) have not been without some effect. done clear
D) No error. done clear
View Answer play_arrowquestion_answer205) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
A) Inspite of the roadblock done clear
B) the guards allowed us done clear
C) enter the restricted area to search for our friends done clear
D) No error. done clear
View Answer play_arrowquestion_answer206) Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. Illicit
A) immoral done clear
B) illegal done clear
C) ineligible done clear
D) illegible done clear
View Answer play_arrowquestion_answer207) Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. Flair
A) talent done clear
B) tendency done clear
C) bias done clear
D) need done clear
View Answer play_arrowquestion_answer208) Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. Conservation
A) preservation done clear
B) respiration done clear
C) correction done clear
D) confusion done clear
View Answer play_arrowquestion_answer209) Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. Abysmal
A) sickening done clear
B) gloomy done clear
C) sad done clear
D) bottomless done clear
View Answer play_arrowquestion_answer210) Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. Salient
A) valient done clear
B) variant done clear
C) prodent done clear
D) prominent done clear
View Answer play_arrowquestion_answer211) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Suppress
A) stir up done clear
B) rouse done clear
C) urge done clear
D) incite done clear
View Answer play_arrowquestion_answer212) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Loosen
A) fasten done clear
B) accelerate done clear
C) delay done clear
D) paste done clear
View Answer play_arrowquestion_answer213) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Rebellion
A) forgiveness done clear
B) retribution done clear
C) submission done clear
D) domination done clear
View Answer play_arrowquestion_answer214) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Idiosyncrasy
A) insanity done clear
B) sanity done clear
C) generality done clear
D) singularity done clear
View Answer play_arrowquestion_answer215) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Sanguine
A) diffident done clear
B) hopeless done clear
C) cynical done clear
D) morose done clear
View Answer play_arrowquestion_answer216) Directions: In the following questions, groups of four words are given. In each group, one word is wrongly spelt. Find the misspelt word.
A) prioratise done clear
B) picturise done clear
C) hesitate done clear
D) perforate done clear
View Answer play_arrowquestion_answer217) Directions: In the following questions, groups of four words are given. In each group, one word is wrongly spelt. Find the misspelt word.
A) mendacous done clear
B) obnoxcious done clear
C) pernicious done clear
D) ferocious done clear
View Answer play_arrowquestion_answer218) Directions: In the following questions, groups of four words are given. In each group, one word is wrongly spelt. Find the misspelt word.
A) pennetrate done clear
B) irritate done clear
C) hesitate done clear
D) perforate done clear
View Answer play_arrowquestion_answer219) Directions: In the following questions, groups of four words are given. In each group, one word is wrongly spelt. Find the misspelt word.
A) passagway done clear
B) causeway done clear
C) subway done clear
D) straightway done clear
View Answer play_arrowquestion_answer220) Directions: In the following questions, groups of four words are given. In each group, one word is wrongly spelt. Find the misspelt word.
A) rapport done clear
B) support done clear
C) repport done clear
D) purport done clear
View Answer play_arrowquestion_answer221) Directions: In the following questions, four alternatives are given for the Idio/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. Dont worry about the silly row. It was just a storm in a tea cup.
A) important matter dealt with ease done clear
B) hot tea being served done clear
C) commotion over a trival matter done clear
D) confusion and chaos done clear
View Answer play_arrowquestion_answer222) Directions: In the following questions, four alternatives are given for the Idio/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. The Rajput warriors set their face against the invader.
A) became enemies done clear
B) turned away from done clear
C) faced difficulty done clear
D) opposed strongly done clear
View Answer play_arrowquestion_answer223) Directions: In the following questions, four alternatives are given for the Idio/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. Syria is now currying favour with America.
A) pleasing done clear
B) favouring done clear
C) obliging done clear
D) ingratiating itself with done clear
View Answer play_arrowquestion_answer224) Directions: In the following questions, four alternatives are given for the Idio/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. Our principal is not a man to mince matters.
A) to confuse issues done clear
B) to say something mildly done clear
C) to mix everything together done clear
D) to be very modest done clear
View Answer play_arrowquestion_answer225) Directions: In the following questions, four alternatives are given for the Idio/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. We tend to take for granted the conveniences of modern life.
A) to consider done clear
B) to admit done clear
C) to accept readily done clear
D) to care for done clear
View Answer play_arrowquestion_answer226) Directions: In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. Belief that God is in everything and. That everything is God
A) Atheism done clear
B) Pantheism done clear
C) Scepticism done clear
D) Animism done clear
View Answer play_arrowquestion_answer227) Directions: In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. A picture of a person or a thing drawn in such a highly exaggerated manner as to cause laughter
A) Cartoon done clear
B) Cacography done clear
C) Cartography done clear
D) Caricature done clear
View Answer play_arrowquestion_answer228) Directions: In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. The state of being miserable be reft of all possessions
A) Dependant done clear
B) Complacent done clear
C) Destitute done clear
D) Omnipresent done clear
View Answer play_arrowquestion_answer229) Directions: In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. That which cannot be called back
A) Irresponsible done clear
B) Irrevocable done clear
C) Irredeemable done clear
D) Incalculable done clear
View Answer play_arrowquestion_answer230) Directions: In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. One who journeys from place to place
A) Quack done clear
B) Cannibal done clear
C) Itinerant done clear
D) Courier done clear
View Answer play_arrowquestion_answer231) Directions: In the following questions, a sentence has been given in Active Voice/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive Voice/Active Voice. We have already done the exercise.
A) Already, the exercise has been done by us done clear
B) The exercise has already been done by us done clear
C) The exercise had been already done by us done clear
D) The exercise is already done by us done clear
View Answer play_arrowquestion_answer232) Directions: In the following questions, a sentence has been given in Active Voice/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive Voice/Active Voice. The main skills we seek to develop include analysing, interpreting and evaluating ideas.
A) The main skills sought by us to develop include analysing, interpreting and evaluating ideas done clear
B) The main skills that we are seeking to be developed include analysing, interpreting and evaluating ideas done clear
C) The main skills sought to be developed by us include analysing, interpreting and evaluating ideas done clear
D) The main skills include analysing, interpreting and evaluating kleas which are sought by us to develop done clear
View Answer play_arrowquestion_answer233) Directions: In the following questions, a sentence has been given in Active Voice/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive Voice/Active Voice. Who can question Gandhis integrity?
A) By whom Gandhis integrity can be questioned? done clear
B) By whom can Gandhis integrity be questioned? done clear
C) Gandhis integrity can be questioned by whom? done clear
D) Who could have questioned Gandhis integrity? done clear
View Answer play_arrowquestion_answer234) Directions: In the following questions, a sentence has been given in Active Voice/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive Voice/Active Voice. He presented me a bouquet on my birthday.
A) A bouquet is presented to me on my birthday by him done clear
B) I was presented on my birthday a bouquet by him done clear
C) I was presented a bouquet on my birthday by him done clear
D) I will be presented a bouquet on my birthday by him done clear
View Answer play_arrowquestion_answer235) Directions: In the following questions, a sentence has been given in Active Voice/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive Voice/Active Voice. This surface feels smooth.
A) This surface is felt smooth done clear
B) This surface is smooth when it is felt done clear
C) This surface when felt is smooth done clear
D) This surface is smooth as felt done clear
View Answer play_arrowquestion_answer236) Directions: In the following questions, a part of the sentence is printed bold. Below are given alternatives to the bold part at (a), (b) and (c), which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d). In the desert, the sun is the master, all else resigns before its merciless rays.
A) collapses done clear
B) falls done clear
C) retires done clear
D) No improvement done clear
View Answer play_arrowquestion_answer237) Directions: In the following questions, a part of the sentence is printed bold. Below are given alternatives to the bold part at (a), (b) and (c), which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d). I intend to learn French next year.
A) learning done clear
B) learn done clear
C) have learnt done clear
D) No improvement done clear
View Answer play_arrowquestion_answer238) Directions: In the following questions, a part of the sentence is printed bold. Below are given alternatives to the bold part at (a), (b) and (c), which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d). The police needed him for armed robbery.
A) liked done clear
B) was after done clear
C) were looking to done clear
D) No improvement done clear
View Answer play_arrowquestion_answer239) Directions: In the following questions, a part of the sentence is printed bold. Below are given alternatives to the bold part at (a), (b) and (c), which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d). There is no more room for you in this compartment.
A) no more seat done clear
B) no more space done clear
C) no more accommodation done clear
D) No improvement done clear
View Answer play_arrowquestion_answer240) Directions: In the following questions, a part of the sentence is printed bold. Below are given alternatives to the bold part at (a), (b) and (c), which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d). It is easy to see why cities grew on the river banks
A) along the river banks done clear
B) in the river banks done clear
C) upon the river banks done clear
D) No improvement done clear
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