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) \[\sqrt{8}\]
B) \[\sqrt{2/17}\]
C) \[\sqrt{1/8}\]
D) \[\sqrt{32/17}\]
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
B) 1700 m
C) 340 m
D) 1620 m
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
B) 2.4 mm
C) 1.2 mm
D) 1.2 cm
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
B) 0.75 m
C) 0.4 m
D) 0.2 m
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
B) 150 m
C) 100 m
D) 200 m
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
B) 400 nm
C) 500 nm
D) 600 nm
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
B) 120 min
C) 20 min
D) 30 min
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
B) 1 : 4
C) 8 : 1
D) 1 : 8
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) \[1.6\times {{10}^{4}}J\]
B) \[1.2\times {{10}^{4}}J\]
C) \[4.8\times {{10}^{4}}J\]
D) \[3.5\times {{10}^{4}}J\]
View Answer play_arrowquestion_answer10) Effective capacitance between\[A\]and\[B\]in the figure shown is (all capacitances are in\[\mu F\])
A) \[\frac{3}{14}\mu F\]
B) \[\frac{14}{3}\mu F\]
C) \[21\,\,\mu F\]
D) \[23\,\,\mu F\]
View Answer play_arrowquestion_answer11) When the bob of a simple pendulum swings, the work done by tension in the string is
A) > 0
B) < 0
C) zero
D) maximum
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) \[{{K}_{0}}\]
B) zero
C) \[{{K}_{0}}/2\]
D) not obtainable
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
B) \[10\,\,m{{s}^{-2}}\]
C) \[10\pi \,\,m{{s}^{-2}}\]
D) \[\frac{10}{\pi }\,\,m{{s}^{-2}}\]
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
B) 3.3 kg
C) 1 kg
D) 1 mg
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
B) Capacitive
C) Inductive
D) None of these
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) \[~0.5\,\,m/s\]
B) \[0.6\,\,m/s\]
C) \[0.7\,\,m/s\]
D) \[0.8\,\,m/s\]
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) \[700\,\,{{m}^{3}}\]
B) \[900\,\,{{m}^{3}}\]
C) \[1000\,\,{{m}^{3}}\]
D) \[500\,\,{{m}^{3}}\]
View Answer play_arrowquestion_answer18) Which of the following is different from others?
A) Wavelength
B) Velocity
C) Frequency
D) Amplitude
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) \[F\]
B) \[2F\]
C) \[\frac{F}{4}\]
D) \[4F\]
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) \[250\,\,K\]
B) \[{{250}^{o}}C\]
C) \[2500\,\,K\]
D) \[{{25}^{o}}C\]
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) \[26.5\,\,W/{{m}^{2}}\]
B) \[36.5\,\,W/{{m}^{2}}\]
C) \[46.7\,\,W/{{m}^{2}}\]
D) \[765\,\,W/{{m}^{2}}\]
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
B) 60 km/min
C) 30 m/s
D) 500 m/s
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) \[2\times {{10}^{4}}J\]
B) \[2\times 100J\]
C) \[2\times {{10}^{11}}J\]
D) \[2\times {{10}^{15}}J\]
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
B) decrease\[KE\]of electrons
C) repel the electrons
D) decelerate the electrons
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) \[600\]
B) \[200\]
C) \[250/\pi \]
D) \[500\]
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) \[-2\,\,D\]
B) \[6\,\,D\]
C) \[-6\,\,D\]
D) \[-8\,\,D\]
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
B) Microwave
C) Infrared
D) Radio wave
View Answer play_arrowquestion_answer28) During inelastic collision of two particles
A) \[{{(KE)}_{final}}={{(KE)}_{initial}}\]
B) \[{{(KE)}_{final}}\]must be greater than\[{{(KE)}_{initial}}\]
C) \[{{(KE)}_{final}}\]must be less than\[{{(KE)}_{initial}}\]
D) \[{{(KE)}_{final}}\]must be greater or less than\[{{(KE)}_{initial}}\]
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) \[6:7\]
B) \[36:49\]
C) \[7:6\]
D) \[343:216\]
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) \[1\,\,H\]
B) \[0.5\,\,H\]
C) \[1.5\,\,H\]
D) \[2\,\,H\]
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
B) the temperature of monoatomic gas will be more
C) the temperature of both will be zero
D) nothing can be said
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
B) the same stress but different strains
C) the same strain but different stresses
D) different stresses and strains
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) \[981\,\,cm/{{s}^{2}}\]
B) \[978\,\,cm/{{s}^{2}}\]
C) \[984\,\,cm/{{s}^{2}}\]
D) \[975\,\,cm/{{s}^{2}}\]
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) \[E\propto \frac{1}{{{r}^{2}}}\]
B) \[E\propto \frac{1}{r}\]
C) \[E\propto {{r}^{2}}\]
D) \[E\propto r\]
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) \[\sqrt{2}L\]
B) \[\sqrt{3}L\]
C) \[2\,\,L\]
D) \[L\]
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\[E\]
B) cell is\[<E\]
C) capacitor is\[<E\]
D) capacitor is\[>E\]
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
B) \[H{{e}^{+}}\]
C) \[L{{i}^{2+}}\]
D) \[B{{e}^{3+}}\]
View Answer play_arrowquestion_answer38) de-Broglie wavelength of a body of mass\[1\,\,kg\]moving with velocity of\[2000\,\,m/s\]is
A) \[3.32\times {{10}^{-27}}\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[1.5\times {{10}^{7}}\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[0.55\times {{10}^{-22}}\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) None of these
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) \[1.99\,\,V\]
B) \[3.5\,\,V\]
C) \[5\,\,V\]
D) \[6\,\,V\]
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
B) goes on decreasing
C) first increase and then decrease
D) remains the same
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) \[\frac{v}{\sqrt{2}}\]
B) \[\frac{v}{2}\]
C) \[v\]
D) \[v\sqrt{2}\]
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) \[94,\,\,230\]
B) \[232,\,\,90\]
C) \[190,\,\,32\]
D) \[230,\,\,94\]
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
B) a metal
C) an intrinsic semiconductor
D) a superconductor
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
B) NAND
C) NOR
D) OR
View Answer play_arrowquestion_answer45) If a transistor biased in the common-emitter mode, the emitter current is
A) much smaller than base current
B) much larger than base current
C) nearly equal to the base current
D) much smaller than the collector current
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
B) 3
C) 43
D) 4.3
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
B) 5
C) 7
D) 9
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) \[1.6\times {{10}^{20}}\]
B) \[8\times {{10}^{19}}\]
C) \[3.1\times {{10}^{19}}\]
D) \[6.2\times {{10}^{19}}\]
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
B) 4 : 1 approximately
C) 8 : 1 exactly
D) 8 : 1 approximately
View Answer play_arrowquestion_answer50) Electromagnetic waves travel only through
A) material medium
B) vacuum
C) oscillating electric and magnetic fields
D) oscillating electric and magnetic fields whose directions are perpendicular to each other
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
B) 8 : 27
C) 27 : 8
D) 4 : 9
View Answer play_arrowquestion_answer52) A\[220\,\,V\]main supply is connected to a resistance of\[100k\Omega \]. The effective current is
A) \[2.2\,\,mA\]
B) \[2.2\sqrt{2}mA\]
C) \[\frac{2.2}{\sqrt{2}}mA\]
D) None of these
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) \[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\]
B) \[{{m}_{1}}:{{m}_{2}}\]
C) \[{{m}_{2}}:{{m}_{1}}\]
D) \[m_{1}^{2}:m_{2}^{2}\]
View Answer play_arrowquestion_answer54) When the light enters from air to glass, for which Colour the angle of deviation is maximum?
A) Red
B) Yellow
C) Blue
D) Violet
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) \[4\,\,A\]
B) \[2\,\,A\]
C) \[\sqrt{2}A\]
D) \[A\]
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) \[\frac{{{h}^{2}}}{M{{\lambda }^{2}}}\]
B) \[\frac{1}{2}\frac{{{h}^{2}}}{M{{\lambda }^{2}}}\]
C) \[\frac{h}{M\lambda }\]
D) \[\frac{1}{2}\frac{h}{M\lambda }\]
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) \[400%\]
B) \[800%\]
C) \[200%\]
D) \[100%\]
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
B) 5 cm
C) 10 cm
D) 0.25 cm
View Answer play_arrowquestion_answer59) X-rays and y-rays of the same energies may be distinguished by
A) their velocity
B) their ionizing power
C) their intensity
D) method of production
View Answer play_arrowquestion_answer60) Which of the following materials is non-crystalline?
A) Copper
B) Sodium chloride
C) Wood
D) Diamond
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%
B) 53%
C) 75%
D) 92%
View Answer play_arrowquestion_answer62) Four different colloids have the following gold number, which one has the most effective action?
A) 5
B) 10
C) 15
D) 13
View Answer play_arrowquestion_answer63) In which of the following case, increase in concentration of ion cause increase in\[{{E}_{cell}}\]?
A) \[Pt({{H}_{2}})|{{H}^{+}}(aq)\]
B) \[Pt|Quinhydrone|{{H}^{+}}(aq)\]
C) \[Ag|A{{g}^{+}}(aq)\]
D) \[Ag,\,\,AgCl|C{{l}^{-}}(aq)\]
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
B) 0.30
C) 0.125
D) 0.07
View Answer play_arrowquestion_answer65) Which of the following is known as Glaubers salt?
A) \[N{{a}_{2}}{{S}_{2}}{{O}_{3}}\cdot 5{{H}_{2}}O\]
B) \[N{{a}_{2}}S{{O}_{4}}\cdot 10{{H}_{2}}O\]
C) \[N{{a}_{2}}C{{O}_{3}}\cdot 10{{H}_{2}}O\]
D) \[Na(N{{H}_{4}})HP{{O}_{4}}\]
View Answer play_arrowquestion_answer66) \[PhCHClBr\xrightarrow{tBu{{O}^{-}}}Carbene\] In the above reaction which of the following will be most probable?
A) \[_{\bullet }^{\bullet }CHBr\]
B) \[_{\bullet }^{\bullet }CHCl\]
C) \[_{\bullet }^{\bullet }CPhBr\]
D) \[_{\bullet }^{\bullet }CPhCl\]
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
B) \[2{}^\circ \]alcohol
C) \[3{}^\circ \]alcohol
D) Allyl alcohol
View Answer play_arrowquestion_answer68) Which of the following test is performed by carbohydrates?
A) Biuret test
B) Nitroprusside test
C) Ninhydrin test
D) Molischs test
View Answer play_arrowquestion_answer69) Which of the following is not used as propellant?
A) Hydrazine
B) UDMH
C) MMH
D) Phenyl hydrazine
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) \[C{{l}^{-}}\]
B) \[{{O}^{2-}}\]
C) \[N{{a}^{+}}\]
D) \[M{{g}^{2+}}\]
View Answer play_arrowquestion_answer71) Which of the following is the formula of Sorels cement?
A) \[KCl\cdot MgC{{l}_{2}}\cdot 6{{H}_{2}}O\]
B) \[MgC{{l}_{2}}\cdot 5MgO\cdot x{{H}_{2}}O\]
C) \[CaS{{O}_{4}}\cdot 2{{H}_{2}}O\]
D) \[MgC{{O}_{3}}\cdot CaC{{O}_{3}}\]
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
B) monoclinic sulphur has metallic lusture
C) monoclinic sulphur is more stable
D) \[\Delta {{H}_{transition}}\]of\[{{S}_{R}}\]to\[{{S}_{M}}\]is endothermic
View Answer play_arrowquestion_answer73) Which of the following is a measurement of water pollution?
A) PSC
B) PCB
C) BOD
D) COD
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
B) 10.6 min
C) 43.3mm
D) 99.7 min
View Answer play_arrowquestion_answer75) Which of the following is tetrabasic acid?
A) Orthophosphorus acid
B) Orthophosphoric acid
C) Metaphosphoric acid
D) Pyrophosphoric acid
View Answer play_arrowquestion_answer76) . Which of the following order for bond angles is correct?
A) \[B{{F}_{3}}<N{{H}_{3}}<P{{F}_{3}}<CI{{F}_{3}}\]
B) \[B{{F}_{3}}<N{{F}_{3}}<P{{F}_{3}}<CI{{F}_{3}}\]
C) \[CI{{F}_{3}}<P{{F}_{3}}<N{{F}_{3}}<B{{F}_{3}}\]
D) \[B{{F}_{3}}\approx N{{F}_{3}}<P{{F}_{3}}<CI{{F}_{3}}\]
View Answer play_arrowquestion_answer77) The triad of the nuclei that is isotonic, is
A) \[_{6}{{C}^{14}},\,{{\,}_{7}}{{N}^{14}},\,{{\,}_{9}}{{N}^{19}}\]
B) \[_{6}{{C}^{14}},\,{{\,}_{7}}{{N}^{15}},\,{{\,}_{9}}{{F}^{17}}\]
C) \[_{6}{{C}^{14}},\,{{\,}_{7}}{{N}^{14}},\,{{\,}_{9}}{{F}^{17}}\]
D) \[_{6}{{C}^{12}},\,{{\,}_{7}}{{N}^{14}},\,{{\,}_{9}}{{F}^{19}}\]
View Answer play_arrowquestion_answer78) The oxidation number of cobalt in\[K[Co{{(CO)}_{4}}]\]is
A) \[-1\]
B) \[-3\]
C) \[+1\]
D) \[+3\]
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) \[Zn\]
B) \[Cu\]
C) \[Ag\]
D) \[Fe\]
View Answer play_arrowquestion_answer80) Which of the following has magic number of neutrons?
A) \[_{13}A{{l}^{27}}\]
B) \[_{26}F{{e}^{56}}\]
C) \[_{83}B{{i}^{209}}\]
D) \[_{92}{{U}^{238}}\]
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
B) 2.5
C) 4
D) 5
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) \[40\,\,J/g\]
B) \[117\,\,J/g\]
C) \[167.7\,\,J/g\]
D) \[420.05\,\,J/g\]
View Answer play_arrowquestion_answer83) What product is formed when cyclohexanone is oxidised?
A) \[HOOC\cdot {{(C{{H}_{2}})}_{4}}\cdot COOH\]
B) \[C{{H}_{3}}C{{H}_{2}}COOH\]
C) \[C{{H}_{3}}{{(C{{H}_{2}})}_{4}}\cdot COOH\]
D) None of the above
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
B) Mendius reaction
C) Perkins reaction
D) Sabatier reaction
View Answer play_arrowquestion_answer85) Action of\[B{{r}_{2}}\]on cyclopentene gives
A) cyclopentyl bromide
B) 1, 2 - dibromo cyclopentane
C) cyclopentyl dibromide
D) no reaction
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) \[{{A}_{24}}{{B}_{7}}\]
B) \[{{A}_{7}}{{B}_{24}}\]
C) \[{{A}_{7}}{{B}_{4}}\]
D) \[A{{B}_{2}}\]
View Answer play_arrowquestion_answer87) Beryllium shows diagonal relationship with
A) \[B\]
B) \[Mg\]
C) \[Al\]
D) \[Na\]
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
B) 64 amu
C) 67 amu
D) 98 amu
View Answer play_arrowquestion_answer89) Which of the following is Rinmanns green?
A) \[ZnO\]
B) \[ZnS+BaS{{O}_{4}}\]
C) \[ZnS{{O}_{4}}\cdot 7{{H}_{2}}O\]
D) \[ZnO\cdot CaO\]
View Answer play_arrowquestion_answer90) For the valence electron in copper, the four quantum numbers are
A) \[n=4,\,\,l=0,\,\,m=0,\,\,s=\frac{1}{2}\]
B) \[n=4,\,\,l=0,\,\,m=+2,\,\,s=\frac{1}{2}\]
C) \[n=4,\,\,l=1,\,\,m=+2,\,\,s=\frac{1}{2}\]
D) \[n=4,\,\,l=1,\,\,m=0,\,\,s=\frac{1}{2}\]
View Answer play_arrowquestion_answer91) Geometry of\[B{{F}_{3}}\]is
A) trigonal planar
B) pentagonal
C) trihedral
D) tetrahedral
View Answer play_arrowquestion_answer92) Which of the following will represent the normality of 10%\[(w/V)\]acetic acid?
A) \[1.66\,\,N\]
B) \[16.6\,\,N\]
C) \[3.32\,\,N\]
D) \[33.2\,\,N\]
View Answer play_arrowquestion_answer93) The oxidation number of sulphur in\[{{H}_{2}}{{S}_{2}}{{O}_{8}}\]is
A) +2
B) +4
C) +6
D) +7
View Answer play_arrowquestion_answer94) Which of the following reaction requires catalyst?
A) \[S+{{O}_{2}}\xrightarrow{{}}S{{O}_{2}}\]
B) \[C+{{O}_{2}}\xrightarrow{{}}C{{O}_{2}}\]
C) \[2S{{O}_{2}}+{{O}_{2}}\xrightarrow{{}}2S{{O}_{3}}\]
D) All of the above
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) \[72\text{ }kcal\]
B) \[28\text{ }kcal\]
C) \[-72\text{ }kcal\]
D) \[-28\text{ }kcal\]
View Answer play_arrowquestion_answer96) Malonic acid and succinic acid are distinguished by
A) heating
B) \[NaHC{{O}_{3}}\]
C) both (a) and (b)
D) None of these
View Answer play_arrowquestion_answer97) When chloroform is treated with chlorine in the presence of sunlight, it yields
A) urotropine
B) pyrene
C) chloropicrin
D) chloritone
View Answer play_arrowquestion_answer98) Which of the following areand?
A) Both are
B) Both are
C) respectively.
D) respectively.
View Answer play_arrowquestion_answer99) Which of the following will explain synthesis of RNA?
A) Translation
B) Coagulation
C) Transcription
D) Replication
View Answer play_arrowquestion_answer100) Which of the following is a narrow spectrum antibiotics?
A) Penicillin G
B) Dettol
C) Aspirin
D) Analgin
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
B) Schiffs reagent
C) Benedict reagent
D) Schiffs base
View Answer play_arrowquestion_answer102) Which of the following is correct about\[(A),\,\,(B)\]and\[(C)\]?
A) A, B and C are anomers
B) A and C are anomers
C) A, B and C are metamers
D) None of the above
View Answer play_arrowquestion_answer103) The\[IUPAC\]name ofis
A) bicyclo (2, 1, 0) pentane
B) 1, 2-cyclopropyl cyclobutane
C) 1, 2-methylene cyclobutane
D) cyclopentane (4, 3) annulene
View Answer play_arrowquestion_answer104) In the conversion of ethanol into methanol which of the following reagents will be used?
A) \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}/{{H}_{2}}S{{O}_{4}}\]
B) \[NaOH+CaO\]
C) \[C{{l}_{2}}+aq.KOH\]
D) All of these
View Answer play_arrowquestion_answer105) PDI for natural polymers is generally close to
A) zero
B) 1
C) 10
D) 100
View Answer play_arrowquestion_answer106) Which of the following is diamagnetic?
A) \[{{H}_{2}}\]
B) \[H_{2}^{-}\]
C) \[H_{2}^{+}\]
D) \[He_{2}^{+}\]
View Answer play_arrowquestion_answer107) Which of the following is a property of non-metal?
A) Electronegativity
B) Basic nature of oxide
C) Reducing property
D) Low ionisation potential
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) \[3\,\,kJ\,\,mo{{l}^{-1}}\]
B) \[4\,\,kJ\,\,mo{{l}^{-1}}\]
C) \[5\,\,kJ\,\,mo{{l}^{-1}}\]
D) \[6\,\,kJ\,\,mo{{l}^{-1}}\]
View Answer play_arrowquestion_answer109) Complete the following reaction, \[{{P}_{4}}+NaOH+{{H}_{2}}O\xrightarrow{{}}?\]
A) \[P{{H}_{3}}+N{{a}_{2}}HP{{O}_{2}}\]
B) \[P{{H}_{3}}+Na{{H}_{2}}P{{O}_{2}}\]
C) \[{{H}_{3}}P{{O}_{4}}+NaO\]
D) \[P{{H}_{3}}+N{{a}_{2}}P{{O}_{4}}\]
View Answer play_arrowquestion_answer110) The elevation in boiling point would be highest for
A) \[0.08\,\,M\,\,BaC{{l}_{2}}\]
B) \[0.15\,\,M\,\,KCl\]
C) \[0.10\,\,M\]Glucose
D) \[0.06\,\,M\,\,Ca{{(N{{O}_{3}})}_{2}}\]
View Answer play_arrowquestion_answer111) What is the magnetic moment of\[{{[Fe{{F}_{6}}]}^{3-}}\]?
A) 2 BM
B) 5.9 BM
C) 7BM
D) 35 BM
View Answer play_arrowquestion_answer112) In the given reaction, identify compound\[C\]?
A)
B)
C)
D)
View Answer play_arrowquestion_answer113) The ratio of rate of diffusion of hydrogen and helium gas is
A) \[1:1.4\]
B) \[1:1\]
C) \[1.4:1\]
D) \[1:2\]
View Answer play_arrowquestion_answer114) The reaction, known as
A) substitution reaction
B) addition reaction
C) elimination reaction
D) None of the above
View Answer play_arrowquestion_answer115) Which of the following is responsible for hardness of water?
A) \[CaHC{{O}_{3}}\]
B) \[CaC{{l}_{2}}\]
C) Both (a) and (b)
D) None of these
View Answer play_arrowquestion_answer116) Which of the following is differ in nature from others?
A) Vasopressin
B) Thyroid
C) Oxytocin
D) Insulin
View Answer play_arrowquestion_answer117) Indigo is an example of
A) vat dye
B) mordant dye
C) azo dye
D) phthalein dye
View Answer play_arrowquestion_answer118) Solder is an alloy of lead with
A) \[Cu\]
B) \[Fe\]
C) \[Sn\]
D) \[Zn\]
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) \[H{{g}_{2}}C{{l}_{2}}\]
B) \[PbC{{l}_{2}}\]
C) \[H{{g}_{2}}C{{l}_{2}}\]and\[PbC{{l}_{2}}\]
D) \[HgC{{l}_{2}}\]and\[PbC{{l}_{2}}\]
View Answer play_arrowquestion_answer120) Which of the following molecules/species are aromatic in nature?
A)
B)
C)
D)
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) \[2e\]
B) \[3e\]
C) \[2e-1\]
D) None of these
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
B) \[0<c<\frac{b}{2}\]
C) \[|c|<\sqrt{2}|b|\]
D) \[|c|\,\,>\sqrt{2}|b|\]
View Answer play_arrowquestion_answer123) If\[\left| \frac{{{z}_{1}}}{{{z}_{2}}} \right|=1\]and\[({{z}_{1}}{{z}_{2}})=0\], then
A) \[{{z}_{1}}={{z}_{2}}\]
B) \[{{\left| {{z}_{2}} \right|}^{2}}={{z}_{1}}{{z}_{2}}\]
C) \[{{z}_{1}}{{z}_{2}}=1\]
D) None of these
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) \[\frac{m}{m-1}\]
B) \[\frac{m+1}{m}\]
C) \[\frac{m+1}{m-1}\]
D) None of these
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) \[5\pm \sqrt{6}\]
B) \[0.7\]
C) \[15-\sqrt{6}\]
D) None of these
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
B) the straight line\[y=5\]
C) a circle passing through the origin
D) None of the above
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) \[AP\]
B) HP
C) \[GP\]
D) None of these
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) \[\frac{1}{n!}\]
B) \[\frac{1}{(n-1)!}\]
C) \[\frac{1}{n!}-\frac{1}{(n-1)!}\]
D) \[1\]
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) \[1\]
B) \[0\]
C) \[-1\]
D) None of these
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) \[-\frac{1}{2}\]
B) \[e+\frac{1}{2}\]
C) \[e-\frac{1}{2}\]
D) \[\frac{1}{2}\]
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) \[x+y=2\]
B) \[{{x}^{2}}+{{y}^{2}}=1\]
C) \[{{x}^{2}}+{{y}^{2}}=2\]
D) \[x+y=1\]
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
B) \[\frac{15{{a}^{2}}}{4}\]sq units
C) \[\frac{7{{a}^{2}}}{4}\]sq units
D) \[\frac{{{a}^{2}}}{4}\]sq units
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) \[3\omega \]
B) \[3\omega (\omega -1)\]
C) \[3{{\omega }^{2}}\]
D) \[3\omega (1-\omega )\]
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
B) 4
C) 6
D) 8
View Answer play_arrowquestion_answer135) Domain of the function\[\log |{{x}^{2}}-9|\]is
A) \[R\]
B) \[R-[-3,\,\,3]\]
C) \[R-\{-3,\,\,3\}\]
D) None of these
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) \[1\]
B) \[{{e}^{1/2}}\]
C) \[{{e}^{2}}\]
D) \[{{e}^{3}}\]
View Answer play_arrowquestion_answer137) The value of\[[\mathbf{a}\,\,\mathbf{a}+\mathbf{b}\,\,\mathbf{a}+\mathbf{b}+\mathbf{c}]\]is
A) \[{{[\mathbf{abc}]}^{2}}\]
B) \[[\mathbf{abc}]\]
C) \[2[\mathbf{abc}]\]
D) \[3[\mathbf{abc}]\]
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) \[5\mathbf{i}+5\mathbf{j}-15\mathbf{k}\]
B) \[0\]
C) \[12\mathbf{j}+4\mathbf{k}\]
D) \[-3\mathbf{i}+6\mathbf{j}-3\mathbf{k}\]
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) \[\frac{{{2}^{n}}}{m+1}-\frac{n}{m+1}I(m+1,\,\,n-1)\]
B) \[\frac{n}{m+1}I(m+1,\,\,n-1)\]
C) \[\frac{{{2}^{n}}}{m+1}+\frac{n}{m+1}I(m+1,\,\,n-1)\]
D) \[\frac{m}{m+1}I(m+1,\,\,n-1)\]
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) \[\frac{\pi }{2}\]
B) \[\frac{\pi }{3}\]
C) \[\frac{\pi }{4}\]
D) \[\frac{\pi }{6}\]
View Answer play_arrowquestion_answer141) The equation of directrix of the parabola\[{{y}^{2}}+4y+4x+2=0\]is
A) \[x=-1\]
B) \[x=1\]
C) \[x=-\frac{3}{2}\]
D) \[x=\frac{3}{2}\]
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) \[\frac{2b}{\sqrt{{{a}^{2}}-4{{b}^{2}}}}\]
B) \[\frac{\sqrt{{{a}^{2}}-4{{b}^{2}}}}{2b}\]
C) \[\frac{2b}{a-2b}\]
D) \[\frac{b}{a-2b}\]
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) \[2\tan \alpha \]
B) \[1\]
C) \[2\]
D) \[{{\sec }^{2}}\alpha \]
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) \[0.6\,\,{{m}^{3}}\]
B) \[0.06\,\,{{m}^{3}}\]
C) \[0.006\,\,{{m}^{3}}\]
D) \[0.0006\,\,{{m}^{3}}\]
View Answer play_arrowquestion_answer145) Let/be twice differentiable function satisfying \[f(1)=1,\,\,f(2)=4,\,\,f(3)=9\],then
A) \[f(x)=2,\,\,\forall \,\,x\in R\]
B) \[f(x)=5=f(x)\]. For some\[x\in (1,\,\,3)\]
C) there exists atleast one\[x\in (1,\,\,3)\]such that\[f(x)=2\]
D) None of the above
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
B) 4
C) 3
D) 2
View Answer play_arrowquestion_answer147) Evaluate\[\int{(\sqrt{\tan x}+\sqrt{\cot x})\,\,dx}\]
A) \[\sqrt{2}{{\tan }^{-1}}(\sqrt{\tan x}-\sqrt{\cot x})+C\]
B) \[\frac{2}{\sqrt{2}}{{\tan }^{-1}}x+C\]
C) \[\sqrt{2}{{\tan }^{-1}}\left( \frac{\sqrt{\tan x}-\sqrt{\cot x}}{\sqrt{2}} \right)+C\]
D) None of the above
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
B) 6
C) 7
D) 8
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
B) an ellipse
C) a parabola
D) a hyperbola
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) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{6}\]
C) \[\frac{\pi }{8}\]
D) \[\frac{\pi }{4}\]
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) \[\frac{1}{2\sqrt{2}}\]
B) \[\frac{1}{2\sqrt{3}}\]
C) \[\frac{1}{2}-\frac{1}{\sqrt{3}}\]
D) \[\frac{1}{2}-\frac{1}{\sqrt{2}}\]
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) \[a-b\]
B) \[a+b\]
C) \[a-b\]
D) None of these
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) \[\left[ -\frac{1}{4},\,\,\frac{1}{2} \right]\]
B) \[\left[ -\frac{1}{2},\,\,\frac{1}{2} \right]\]
C) \[\left[ -\frac{1}{2},\,\,\frac{1}{9} \right]\]
D) \[[0,\,\,\pi ]\]
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
B) 2
C) 1
D) 0
View Answer play_arrowquestion_answer155) Evaluate\[\int{\frac{(x-1){{e}^{x}}}{{{(x+1)}^{3}}}dx}\]
A) \[0\]
B) \[\frac{{{(x+1)}^{2}}}{{{e}^{x}}}+C\]
C) \[\frac{{{e}^{x}}}{{{(x+1)}^{2}}}+C\]
D) \[\frac{{{e}^{x}}}{{{(x-1)}^{2}}}+{{(x+1)}^{2}}+C\]
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) \[\frac{2ac+1}{2a+abc+1}\]
B) \[\frac{2ac+1}{2a+c+a}\]
C) \[\frac{2ac+1}{2c+ab+a}\]
D) None of these
View Answer play_arrowquestion_answer157) Local maximum value of the function\[\frac{{{\log }_{e}}x}{x}\]is
A) \[1\]
B) \[e\]
C) \[\frac{1}{e}\]
D) None of these
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) \[\sin u\cos v[\cos (x+y-u-v)\]\[+i\sin (x+y-u-v)]\]
B) \[\sin u\cos v[\cos (x+y+u+v)\]\[+i\sin (x+y+u+v)]\]
C) \[\sin u\cos v[\cos (x+y+u+v)\]\[-i\sin (x+y+u+v)\]
D) None of the above
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) \[4\]
B) \[3\]
C) \[\frac{1}{9}\]
D) \[\frac{1}{3}\]
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) \[2\sin \alpha \]
B) \[2\sin \alpha cos\beta sin\gamma \]
C) \[2\sin \alpha \sin \beta \cos \gamma \]
D) \[2\sin \alpha \sin \beta \sin \gamma \]
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) \[{{a}^{2}}\]
B) \[ac\]
C) \[bc\]
D) None of these
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) \[3\]
B) \[\sqrt{3}\]
C) \[9\]
D) None of these
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) \[n\pi +\frac{\pi }{2}\]
B) \[n\pi +\frac{\pi }{4},\,\,n\pi \]
C) \[n\pi +\frac{\pi }{2}\]
D) \[n\pi +\frac{\pi }{4},\,\,\frac{\pi }{4}\]
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) \[a<2\]
B) \[2\le a\le 3\]
C) \[3<a\le 4\]
D) \[a>4\]
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) \[\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\]
B) \[\operatorname{Re}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\]
C) \[\operatorname{Re}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)\]
D) None of these
View Answer play_arrowquestion_answer166) The number of five digits numbers that can be formed without any restriction is
A) 990000
B) 10000
C) 90000
D) None of these
View Answer play_arrowquestion_answer167) The middle term in the expansion of\[{{\left( {{x}^{2}}+\frac{1}{{{x}^{2}}}+2 \right)}^{n}}\]is
A) \[\frac{n}{{{[(n/2)!]}^{2}}}\]
B) \[-\frac{(2n!)}{{{[(n/2)!]}^{2}}}\]
C) \[\frac{1\cdot 3\cdot 5...(2n+1)}{n!}{{2}^{n}}\]
D) \[\frac{(2n)!}{{{(n!)}^{2}}}\]
View Answer play_arrowquestion_answer168) The value of\[\sin ({{22}^{o}}30)\]is
A) \[\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}\]
B) \[\sqrt{\sqrt{2}-1}\]
C) \[\sqrt{\frac{\sqrt{2}-1}{2\sqrt{2}}}\]
D) None of these
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) \[-\sec \theta +\tan \theta \]
B) \[\sec \theta +\tan \theta \]
C) \[\sec \theta -\tan \theta \]
D) None of these
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) \[\log 2\]
B) \[\frac{1}{2}\log 2\]
C) \[\frac{1}{2}\]
D) \[\frac{1}{\log 2}\]
View Answer play_arrowquestion_answer171) The area of the region bounded by\[y=-1\],\[y=2,\,\,x={{y}^{3}}\]and\[x=0\]is
A) \[\frac{17}{4}sq\,\,units\]
B) \[\frac{1}{4}sq\,\,unit\]
C) \[4\,\,sq\,\,units\]
D) None of these
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) \[(3,\,\,2)\]
B) \[(5,\,\,6)\]
C) \[(4,\,\,-1)\]
D) \[(2,\,\,-3)\]
View Answer play_arrowquestion_answer173) The value of\[{{\cos }^{2}}{{48}^{o}}-{{\sin }^{2}}{{12}^{o}}\]is
A) \[\frac{\sqrt{5}+1}{8}\]
B) \[\frac{\sqrt{5}-1}{8}\]
C) \[\frac{\sqrt{5}+1}{16}\]
D) None of these
View Answer play_arrowquestion_answer174) The number of solutions of\[{{\sin }^{2}}\theta +3\cos \theta =3\]in\[[-\pi ,\,\,\pi ]\], is
A) 4
B) 2
C) 0
D) None of these
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) \[25\sqrt{3}m\]
B) \[25\,\,m\]
C) \[25\sqrt{4}m\]
D) \[\frac{25}{\sqrt{3}}\,\,m\]
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) \[a=1,\,\,b=1\]
B) \[a=1,\,\,b=2\]
C) \[a=1,\,\,b=-2\]
D) None of these
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\[x=-2\]
B) not continuous at\[x=-2\]
C) differentiable at\[x=-2\]
D) continuous but not derivable at\[x=-2\].
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) \[3a\]
B) \[4a\]
C) \[5a\]
D) \[a\]
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
B) 1
C) 2
D) None of these
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) \[1\]
B) \[-1\]
C) \[\frac{1}{2}\]
D) \[-\frac{1}{2}\]
View Answer play_arrowquestion_answer181) The maximum value of\[3\cos \theta +4\sin \theta \]is
A) \[-5\]
B) \[5\]
C) \[25\]
D) None of these
View Answer play_arrowquestion_answer182) Which of the following is not a statement?
A) Every set is a finite set
B) 8 is less than 6
C) Where are you going
D) The sum of interior angles of a triangle is\[{{180}^{o}}\]
View Answer play_arrowquestion_answer183) The least positive remainder when\[123\times 125\times 127\]is divided by\[124\]is
A) 4
B) 120
C) 121
D) 130
View Answer play_arrowquestion_answer184) The vertex connectivity of any tree is
A) one
B) two
C) three
D) None of these
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
B) 240
C) 600
D) 3125
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) \[n=2r\]
B) \[n=2r+1\]
C) \[n=3r\]
D) None of these
View Answer play_arrowquestion_answer187) The number of solutions of\[{{\log }_{4}}(x-1)={{\log }_{2}}(x-3)\]is
A) 3
B) 1
C) 2
D) 0
View Answer play_arrowquestion_answer188) The value of\[\lim \frac{\int_{0}^{{{x}^{2}}}{{{\cos }^{2}}t\,\,dt}}{x\sin x}\]is
A) 2
B) 1
C) 0
D) None of these
View Answer play_arrowquestion_answer189) The value of\[\int_{2}^{3}{\frac{\sqrt{x}}{\sqrt{5-x}+\sqrt{x}}}dx\]is
A) 1
B) 1/2
C) 2
D) None of these
View Answer play_arrowquestion_answer190) The solution of differential equation\[({{e}^{x}}+1)y\,\,dy=(y+1){{e}^{x}}\,\,dx\]is
A) \[({{e}^{x}}+1)(y+1)=C{{e}^{y}}\]
B) \[({{e}^{x}}+1)|(y+1)|=C{{e}^{-y}}\]
C) \[({{e}^{x}}+1)(y+1)=\pm C{{e}^{y}}\]
D) None of the above
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) \[4{{x}^{2}}+4{{y}^{2}}-30x-10y=15\]
B) \[4{{x}^{2}}+4{{y}^{2}}-30x-13y-25=0\]
C) \[4{{x}^{2}}+4{{y}^{2}}-17x-10y+25=0\]
D) None of the above
View Answer play_arrowquestion_answer192) The equation of the common tangent to the curves\[{{y}^{2}}=8x\]and\[xy=-1\]is
A) \[3y=9x+2\]
B) \[y=2x+1\]
C) \[2y=x+8\]
D) \[y=x+2\]
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) \[k\]
B) \[2k\]
C) \[\frac{k}{2}\]
D) None of these
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) \[2\]
B) \[k\]
C) \[\frac{1}{2}\]
D) \[1\]
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) \[ab\,\,sq\,\,unit\]
B) \[2\,\,ab\,\,sq\,\,unit\]
C) \[\frac{ab}{2}sq\,\,unit\]
D) None of these
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) \[1\,\,sq\,\,unit\]
B) \[2\,\,sq\,\,units\]
C) \[\frac{\sqrt{3}}{2}sq\,\,units\]
D) \[\sqrt{3}\,\,sq\,\,units\]
View Answer play_arrowquestion_answer197) The area bounded by the curves\[y=|x|-1\]and\[y=-|x|+1\]is
A) \[1\,\,sq\,\,unit\]
B) \[2\,\,sq\,\,units\]
C) \[2\sqrt{2}sq\,\,units\]
D) \[4\,\,sq\,\,units\]
View Answer play_arrowquestion_answer198) The value of the expression\[\sqrt{3}\cos ec{{20}^{o}}-\sec {{20}^{o}}\]is equal to
A) \[2\]
B) \[\frac{2\sin {{20}^{o}}}{\sin {{40}^{o}}}\]
C) \[4\]
D) \[\frac{4\sin {{20}^{o}}}{\sin {{40}^{o}}}\]
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\[AP\]
B) the altitudes are in\[HP\]
C) the medians are in\[GP\]
D) the medians are in\[AP\]
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) \[\frac{1}{2}\]
B) \[\frac{1}{12}\]
C) \[\frac{1}{4}\]
D) None of these
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
B) was suffering by
C) a financial crisis.
D) No error
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
B) so early
C) in the morning.
D) No error
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
B) he goes
C) to the doctor as soon as he returns from taking the examination.
D) No error
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
B) and such other beverages
C) have not been without some effect.
D) No error.
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
B) the guards allowed us
C) enter the restricted area to search for our friends
D) No error.
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
B) illegal
C) ineligible
D) illegible
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
B) tendency
C) bias
D) need
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
B) respiration
C) correction
D) confusion
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
B) gloomy
C) sad
D) bottomless
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
B) variant
C) prodent
D) prominent
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
B) rouse
C) urge
D) incite
View Answer play_arrowquestion_answer212) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Loosen
A) fasten
B) accelerate
C) delay
D) paste
View Answer play_arrowquestion_answer213) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Rebellion
A) forgiveness
B) retribution
C) submission
D) domination
View Answer play_arrowquestion_answer214) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Idiosyncrasy
A) insanity
B) sanity
C) generality
D) singularity
View Answer play_arrowquestion_answer215) Directions: In the following questions, choose the word(s) opposite in meaning to the given word. Sanguine
A) diffident
B) hopeless
C) cynical
D) morose
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
B) picturise
C) hesitate
D) perforate
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
B) obnoxcious
C) pernicious
D) ferocious
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
B) irritate
C) hesitate
D) perforate
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
B) causeway
C) subway
D) straightway
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
B) support
C) repport
D) purport
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
B) hot tea being served
C) commotion over a trival matter
D) confusion and chaos
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
B) turned away from
C) faced difficulty
D) opposed strongly
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
B) favouring
C) obliging
D) ingratiating itself with
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
B) to say something mildly
C) to mix everything together
D) to be very modest
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
B) to admit
C) to accept readily
D) to care for
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
B) Pantheism
C) Scepticism
D) Animism
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
B) Cacography
C) Cartography
D) Caricature
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
B) Complacent
C) Destitute
D) Omnipresent
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
B) Irrevocable
C) Irredeemable
D) Incalculable
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
B) Cannibal
C) Itinerant
D) Courier
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
B) The exercise has already been done by us
C) The exercise had been already done by us
D) The exercise is already done by us
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
B) The main skills that we are seeking to be developed include analysing, interpreting and evaluating ideas
C) The main skills sought to be developed by us include analysing, interpreting and evaluating ideas
D) The main skills include analysing, interpreting and evaluating kleas which are sought by us to develop
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?
B) By whom can Gandhis integrity be questioned?
C) Gandhis integrity can be questioned by whom?
D) Who could have questioned Gandhis integrity?
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
B) I was presented on my birthday a bouquet by him
C) I was presented a bouquet on my birthday by him
D) I will be presented a bouquet on my birthday by him
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
B) This surface is smooth when it is felt
C) This surface when felt is smooth
D) This surface is smooth as felt
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
B) falls
C) retires
D) No improvement
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
B) learn
C) have learnt
D) No improvement
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
B) was after
C) were looking to
D) No improvement
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
B) no more space
C) no more accommodation
D) No improvement
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
B) in the river banks
C) upon the river banks
D) No improvement
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