A) \[\sqrt{2}\] done clear
B) \[2\sqrt{2}\] done clear
C) \[4\sqrt{2}\] done clear
D) \[8\sqrt{2}\] done clear
View Answer play_arrowquestion_answer2) The relation "less than" in the set of natural numbers is
A) only symmetric done clear
B) only transitive done clear
C) only reflexive done clear
D) equivalence relation done clear
View Answer play_arrowA) \[\frac{240}{\sqrt{3}}\] done clear
B) \[200\sqrt{3}\] done clear
C) \[240\sqrt{3}\] done clear
D) \[\frac{120}{\sqrt{3}}\] done clear
View Answer play_arrowquestion_answer4) In which one of the following functions, Rollers theorem is applicable?
A) \[f(x)=\left| x \right|\], in \[-2\le x\le 2\] done clear
B) \[f(x)=\tan x\], in \[0\le x\le \pi \] done clear
C) \[f(x)=l+{{(x-2)}^{\frac{2}{3}}}\], in \[l\le x\le 3\] done clear
D) \[f(x)=x{{(x-2)}^{2}}\] in \[0\le x\le 2\] done clear
View Answer play_arrowA) 48m done clear
B) 36m done clear
C) 54m done clear
D) 72m done clear
View Answer play_arrowA) 73 done clear
B) 65 done clear
C) 68 done clear
D) 74 done clear
View Answer play_arrowA) \[\frac{1}{\sqrt{5}}\] done clear
B) \[\frac{2}{\sqrt{5}}\] done clear
C) \[\frac{2}{\sqrt{3}}\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowA) \[y=\frac{3}{\sqrt{7}}x+\frac{15}{\sqrt{7}}\] done clear
B) \[y=3\sqrt{\frac{2}{7}}x+\frac{15}{\sqrt{7}}\] done clear
C) \[y=2\sqrt{\frac{3}{7}}x+15\sqrt{7}\] done clear
D) \[y=\frac{3}{\sqrt{7}}x-\frac{15}{\sqrt{7}}\] done clear
View Answer play_arrowA) is increased by 2 done clear
B) is decreased by 2 done clear
C) is two times the original median done clear
D) remains the same as that of the original set done clear
View Answer play_arrowA) \[\frac{2}{3}\] done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{1}{6}\] done clear
View Answer play_arrowA) mutually exclusive and independent. done clear
B) independent but not equally likely. done clear
C) equally likely but not independent. done clear
D) equally likely and mutually exclusive. done clear
View Answer play_arrowA) \[\frac{1}{\sqrt{2}}\] done clear
B) \[\frac{\sqrt{3}}{2}\] done clear
C) \[\frac{1}{\sqrt{3}}\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowquestion_answer13) If \[I=\int\limits_{0}^{l}{\frac{dx}{l+{{x}^{\frac{\pi }{2}}}}}\], then
A) \[{{\log }_{e}}2<I<\frac{\pi }{4}\] done clear
B) \[{{\log }_{e}}2>I\] done clear
C) \[I=\frac{\pi }{4}\] done clear
D) \[I={{\log }_{e}}2\] done clear
View Answer play_arrowA) tautology done clear
B) contradiction done clear
C) neither tautology nor contradiction done clear
D) either tautology or contradiction done clear
View Answer play_arrowA) \[\sqrt{\frac{18}{34}}\] done clear
B) 5 done clear
C) \[\sqrt{5}\] done clear
D) \[\frac{3}{2}\] done clear
View Answer play_arrowA) 2 done clear
B) \[-2\] done clear
C) 4 done clear
D) \[-4\] done clear
View Answer play_arrowA) \[\frac{-1}{2}\] done clear
B) \[\frac{1}{2}\] done clear
C) 1 done clear
D) \[-1\] done clear
View Answer play_arrowquestion_answer18) The set \[S=\{x\in R:\cos 2x+2{{\cos }^{2}}x=2\}\], is equal to
A) \[\left\{ 2n\pi +\frac{\pi }{3}:n\in I \right\}\] done clear
B) \[\left\{ n\pi \pm \frac{\pi }{6}:n\in I \right\}\] done clear
C) \[\left\{ n\pi +\frac{\pi }{3}:n\in I \right\}\] done clear
D) \[\left\{ 2n\pi -\frac{\pi }{3}:n\in I \right\}\] done clear
View Answer play_arrowA) \[\{(x,y)\in {{R}^{2}}\left| {{x}^{2}}+{{y}^{2}}-3y+2=0\} \right.\] done clear
B) \[\{(x,y)\in {{R}^{2}}\left| {{x}^{2}}+{{y}^{2}}-3x+2=0\} \right.\] done clear
C) \[\{(x,y)\in {{R}^{2}}\left| {{x}^{2}}+{{y}^{2}}+3x+2=0\} \right.\] done clear
D) none of above done clear
View Answer play_arrowTwo different balls are drawn from hat W. |
Two different balls are drawn from hat B. |
One ball is drawn from each hat. |
The probability of getting at least one white ball, is |
A) \[\frac{1}{2}\] done clear
B) \[\frac{1}{4}\] done clear
C) \[\frac{22}{27}\] done clear
D) \[\frac{21}{27}\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowA) reflexive but not symmetric done clear
B) symmetric only done clear
C) reflexive and transitive done clear
D) equivalence done clear
View Answer play_arrowquestion_answer23) Let a, b, c be non-zero real numbers, If the system of equations
\[y+z=a+2x\] |
\[x+z=b+2y\] |
\[x+y=c+2z\] |
A) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowA) 0 done clear
B) \[{{2.}^{9}}{{C}_{4}}\] done clear
C) \[^{9}{{C}_{5}}\] done clear
D) \[^{9}{{C}_{3}}\] done clear
View Answer play_arrowA) 324 done clear
B) 343 done clear
C) 243 done clear
D) 729 done clear
View Answer play_arrowA) \[nA-(n-l)I\] done clear
B) \[nA-I\] done clear
C) \[{{2}^{n-l}}A-(n-I)I\] done clear
D) \[{{2}^{n-l}}A-I\] done clear
View Answer play_arrowA) \[a=2,b=3\] done clear
B) \[a=3,b=2\] done clear
C) \[a=-2,b=-3\] done clear
D) \[a=-3,b=-2\] done clear
View Answer play_arrowStatement-1: The value of\[\underset{x\to \infty }{\mathop{\lim }}\,\left( (x+2){{\tan }^{-1}}(x+2)-(x{{\tan }^{-1}}x) \right)\] is equal to\[\pi \]. |
Statement-2: If \[f(x)\] is derivable in \[[a,b]\] then \[\exists \] at least one \[c\in (a,b)\] such that \[f'(c)=\frac{f(b)-f(a)}{b-a}\] |
A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1. done clear
B) Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowStatement 1: Consider two curves \[{{C}_{l}}:z\overline{z}+i\overline{z}+b=0\] and \[(b\in R,z=x+iy\] and \[i=\sqrt{-1})\]. where\[(b\in R,\,z=x+iy\] and \[i=\sqrt{-1}\]). If \[{{C}_{1}}\] and \[{{C}_{2}}\] intersects orthogonally then\[b=-2\]. |
Statement 2: If two curves intersects orthogonally then the angle between the tangents at all their points of intersection is\[\frac{\pi }{2}\]. |
A) Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowStatement 1: The circles \[{{x}^{2}}+{{y}^{2}}=9\] and \[(2x-3)(x-1)+2y(y-\sqrt{6})=0\] touches each other internally. |
Statement 2: Circle described on the focal distance as diameter of the ellipse \[8{{x}^{2}}+9{{y}^{2}}=72\] touches the auxiliary circle \[{{x}^{2}}+{{y}^{2}}=9\] internally. |
A) Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is false done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowquestion_answer31) A cube has a side of length\[1.2\times {{10}^{2}}m\]. Calculate its volume:
A) \[1.7\times {{10}^{-6}}{{m}^{3}}\] done clear
B) \[1.73\times {{10}^{-6}}{{m}^{3}}\] done clear
C) \[1.70\times {{10}^{-6}}{{m}^{3}}\] done clear
D) \[1.732\times {{10}^{-6}}{{m}^{3}}\] done clear
View Answer play_arrowA) \[2U\cos \theta \] done clear
B) \[U/\cos \theta \] done clear
C) \[2U/\cos \theta \] done clear
D) \[U\cos \theta \] done clear
View Answer play_arrowA) \[1+\frac{a}{g}\] done clear
B) \[1-\frac{a}{g}\] done clear
C) \[1+\frac{2a}{g}\] done clear
D) \[1-\frac{2a}{g}\] done clear
View Answer play_arrowA) \[k\,{{r}^{2}}\,{{t}^{2}}\] done clear
B) \[{{k}^{2}}\,{{r}^{2}}\,t\] done clear
C) \[{{k}^{2}}\,r\,{{t}^{2}}\] done clear
D) \[k\,\,{{r}^{2}}t\] done clear
View Answer play_arrowA) increasing done clear
B) decreasing done clear
C) remain same done clear
D) always zero done clear
View Answer play_arrowA) \[\frac{\rho {{L}^{3}}}{8{{\pi }^{2}}}\] done clear
B) \[\frac{\rho {{L}^{3}}}{16{{\pi }^{2}}}\] done clear
C) \[\frac{5\rho {{L}^{3}}}{16{{\pi }^{2}}}\] done clear
D) \[\frac{3\rho {{L}^{3}}}{8{{\pi }^{2}}}\] done clear
View Answer play_arrowA) \[4T/3\] done clear
B) \[3T/8\] done clear
C) \[3T/4\] done clear
D) \[3T/7\] done clear
View Answer play_arrowA) \[\frac{G{{M}^{2}}}{64}\] done clear
B) \[\frac{G{{M}^{2}}}{128\sqrt{2}}\] done clear
C) zero done clear
D) \[\frac{G{{M}^{2}}}{64\sqrt{2}}\] done clear
View Answer play_arrowA) Length \[=50\,cm\], diameter \[=0.5\,mm\] done clear
B) Length \[=100\,cm\], diameter \[=1\,\,mm\] done clear
C) Length \[=200\,cm\], diameter \[=2\,\,mm\] done clear
D) Length \[=300\,cm\], diameter \[=3\,\,mm\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[\frac{4}{5}{{P}_{0}}\] done clear
B) \[\frac{3}{5}{{P}_{0}}\] done clear
C) \[\frac{2}{5}{{P}_{0}}\] done clear
D) \[\frac{5}{4}{{P}_{0}}\] done clear
View Answer play_arrowA) six done clear
B) five done clear
C) four done clear
D) three done clear
View Answer play_arrowA) \[f/2\] done clear
B) \[f\] done clear
C) \[4f\] done clear
D) \[2f\] done clear
View Answer play_arrowA) that the central maximum is narrower done clear
B) more number of fringes done clear
C) less number of fringes done clear
D) no diffraction pattern done clear
View Answer play_arrowA) infinite done clear
B) \[{{\log }_{e}}2\] done clear
C) \[{{\log }_{10}}2\] done clear
D) zero done clear
View Answer play_arrowA) \[\frac{4\pi {{\varepsilon }_{0}}abd}{(b-a)(d-b)}\] done clear
B) \[\frac{4\pi {{\varepsilon }_{0}}ab}{(b-a)}\] done clear
C) \[\frac{4\pi {{\varepsilon }_{0}}ab}{(d-b)}\] done clear
D) \[\frac{4\pi {{\varepsilon }_{0}}ad}{(d-a)}\] done clear
View Answer play_arrowquestion_answer47) In the circuit shown, the current through:
A) the \[3\,\Omega \] resistor is \[0.50\] A done clear
B) the \[3\,\Omega \] resistor is \[0.25\] A done clear
C) the \[4\,\Omega \] resistor is \[0.50\] A done clear
D) the \[4\,\Omega \] resistor is \[0.25\] A done clear
View Answer play_arrowA) \[0.88\times {{10}^{-23}}A{{m}^{2}}\] done clear
B) \[1.26\times {{10}^{-23}}A{{m}^{2}}\] done clear
C) \[1.75\times {{10}^{-23}}A{{m}^{2}}\] done clear
D) \[2.2\times {{10}^{-23}}A{{m}^{2}}\] done clear
View Answer play_arrowA) zero done clear
B) \[B\pi v{{R}^{2}}/2\] and M is at higher potential done clear
C) \[\pi BRv\] and Q is at higher potential done clear
D) \[2RBv\] and Q is at higher potential done clear
View Answer play_arrowA) 275 W done clear
B) 550 W done clear
C) 675 W done clear
D) 725 W done clear
View Answer play_arrowA) 550 years done clear
B) 300 years done clear
C) 615 years done clear
D) 655 years done clear
View Answer play_arrowA) no interference is observed done clear
B) fringe width increases. done clear
C) fringe width decrease. done clear
D) fringe width remains same. done clear
View Answer play_arrowA) \[\alpha ,\beta ,\gamma \] done clear
B) \[\alpha ,\gamma ,\beta \] done clear
C) \[\beta ,\gamma ,\alpha \] done clear
D) \[\gamma ,\beta ,\alpha \] done clear
View Answer play_arrowA) \[{{\left[ \frac{10.2(eV)}{m} \right]}^{1/2}}\] done clear
B) \[{{\left[ \frac{40.8(eV)}{m} \right]}^{1/2}}\] done clear
C) \[{{\left[ \frac{20.4(eV)}{m} \right]}^{1/2}}\] done clear
D) \[{{\left[ \frac{40.8(eV)}{1.0078\,m} \right]}^{1/2}}\] done clear
View Answer play_arrowA) drift in forward bias, diffusion in reverse bias done clear
B) diffusion in forward bias, drift in reverse bias done clear
C) diffusion in both forward and reverse bias done clear
D) drift in both forward and reverse bias. done clear
View Answer play_arrowquestion_answer56) Frequencies in the UHF range normally propagate by means of:
A) Ground wave done clear
B) Sky wave done clear
C) Surface wave done clear
D) space wave done clear
View Answer play_arrowA) \[1.5\,V\] done clear
B) \[2\,V\] done clear
C) \[2.5\,V\] done clear
D) \[3\,V\] done clear
View Answer play_arrowA) 100% done clear
B) 75% done clear
C) 33.3% done clear
D) 25% done clear
View Answer play_arrowA) \[20.76\] done clear
B) \[34.76\] done clear
C) \[15.46\] done clear
D) \[28.6\] done clear
View Answer play_arrowA) \[22.5\] done clear
B) \[11.25\] done clear
C) \[5.62\] done clear
D) \[0.57\] done clear
View Answer play_arrowA) \[A{{B}_{2}}\] done clear
B) \[{{A}_{2}}B\] done clear
C) \[{{A}_{2}}{{B}_{3}}\] done clear
D) \[{{A}_{5}}{{B}_{4}}\] done clear
View Answer play_arrowquestion_answer62) Which of the following show negative deviation?
A) done clear
B) done clear
C) done clear
D) Both [b] & [c] done clear
View Answer play_arrowA) \[1.1591\] V done clear
B) \[-1.1591\] V done clear
C) \[1.0409\] V done clear
D) \[-1.0409\] V done clear
View Answer play_arrowquestion_answer64) Which of the following cannot be separated by fractional distillation?
A) n-hexane \[+\] n-heptane done clear
B) n-butyl chloride \[+\] n-butyl bromide done clear
C) Benzene \[+\] toluene done clear
D) Water \[+\] nitric acid done clear
View Answer play_arrowquestion_answer65) Conductivity of an electrolyte increases with increasing temperature because
A) lonisation increases done clear
B) Ionic mobility increases done clear
C) Viscosity decreases done clear
D) All of these done clear
View Answer play_arrowquestion_answer66) Which of the following is an incorrect statement?
A) The activation energy of backward reaction is \[40\,kJ\] done clear
B) \[\Delta \,H\] for forward reaction is \[20\,kJ\] done clear
C) The forward reaction is endothermic done clear
D) The activation energy for forward reaction is\[50\,kJ\] done clear
View Answer play_arrowquestion_answer67) Out of the following which graph can explain Freundlich's Adsorption theory?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer68) The colour of the complex \[C{{u}_{2}}[Fe{{(CN)}_{6}}]\] is due to
A) Polarisation done clear
B) d-d transition done clear
C) Charge transfer from ligand to metal done clear
D) Charge transfer from metal to metal done clear
View Answer play_arrowquestion_answer69) Van Arkel's process is associated with
A) Concentration of Ti done clear
B) Purification of Ti done clear
C) Purification of Ni done clear
D) Concentration of Zr done clear
View Answer play_arrowquestion_answer70) The correct sequence of bond energy of halogen is
A) \[C{{l}_{2}}>B{{r}_{2}}>{{F}_{2}}>{{I}_{2}}\] done clear
B) \[C{{l}_{2}}>{{F}_{2}}>B{{r}_{2}}>{{I}_{2}}\] done clear
C) \[C{{l}_{2}}>B{{r}_{2}}>{{I}_{2}}>{{F}_{2}}\] done clear
D) \[{{F}_{2}}>C{{l}_{2}}>B{{r}_{2}}>{{I}_{2}}\] done clear
View Answer play_arrowquestion_answer71) In 5d series, the element which has highest melting point is
A) Cr done clear
B) W done clear
C) Os done clear
D) Ir done clear
View Answer play_arrowquestion_answer72) NaCN as depressant is added during froth floatation process when
A) Melting point of ore is low done clear
B) Solubility of ore is low done clear
C) Two sulphide compound exist in ore done clear
D) Foam cannot be produced easily done clear
View Answer play_arrowA) \[-6{{E}_{1}}\] done clear
B) \[-8{{E}_{1}}\] done clear
C) \[-9{{E}_{1}}\] done clear
D) Zero done clear
View Answer play_arrowquestion_answer74) The correct order of bond angle is
A) \[O{{F}_{2}}<Sn{{F}_{2}}<B{{F}_{3}}\] done clear
B) \[Sn{{F}_{2}}<O{{F}_{2}}<B{{F}_{3}}\] done clear
C) \[O{{F}_{2}}<B{{F}_{3}}<Sn{{F}_{2}}\] done clear
D) \[B{{F}_{2}}<Sn{{F}_{2}}<O{{F}_{2}}\] done clear
View Answer play_arrowquestion_answer75) Boyle's temperature of various gas are given below
Gas | H, | He | \[C{{H}_{4}}\] | \[{{O}_{2}}\] |
\[{{T}_{B}}(K)\] | 117 | 23 | 498 | 406 |
A) \[{{H}_{2}}\] done clear
B) He done clear
C) \[C{{H}_{4}}\] done clear
D) \[{{O}_{2}}\] done clear
View Answer play_arrowA) Acetamide done clear
B) Benzamide done clear
C) Urea done clear
D) Thiourea done clear
View Answer play_arrowA) \[0.3\] done clear
B) \[0.7\] done clear
C) \[0.4\] done clear
D) \[0.6\] done clear
View Answer play_arrowA) \[C{{O}_{2}}\] and \[N{{H}_{3}}\] done clear
B) \[C{{O}_{2}}\] and \[N{{H}_{4}}Cl\] done clear
C) \[NaCl,\,CaO\] done clear
D) \[CaC{{l}_{2}},CaO\] done clear
View Answer play_arrowquestion_answer79) The number of P?0?P bonds in tricyclic metaphosphoric acid is:
A) zero done clear
B) two done clear
C) three done clear
D) four done clear
View Answer play_arrowA) \[d(E-TS+PV)>0\] done clear
B) \[d(E-TS+PV)<0\] done clear
C) \[d(E-TS+PV)=0\] done clear
D) \[d(E+TS+PV)<0\] done clear
View Answer play_arrowquestion_answer81) What is the IUPAC name of following compound.
A) 7, 7-Dimetrybicydo \[[2.2.1]\] hept-5-ene-2-one done clear
B) 7, 7-Dimetrybicydo \[[2.2.1]\] hept-2-ene-6-one done clear
C) 7, 7-Dimetrybicydo \[[2.2.1]\] hept-5-ene-3-one done clear
D) 2, 2-Dimetrybicydo \[[2.2.1]\] hept-7-ene-4-one done clear
View Answer play_arrowquestion_answer82) Which of the following option is enantiomer of given compound?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[I>II>III>IV\] done clear
B) \[IV>III>II>I\] done clear
C) \[III>II>I>IV\] done clear
D) \[III>IV>I>II\] done clear
View Answer play_arrowquestion_answer84) What is true about the following compounds (X and Y):
A) have chirality done clear
B) Diastereomers done clear
C) Identical structures done clear
D) Enantiomers done clear
View Answer play_arrowquestion_answer85) compound P & Q can be distinguished by following reagent
A) 2, 4 -DNP done clear
B) Neutral fed, done clear
C) \[{{I}_{2}}/\]NaOH done clear
D) Lucas reagent done clear
View Answer play_arrowA)
Pair | Reagent |
\[CH=C{{H}_{2}},C{{H}_{3}}-C{{H}_{3}}\] | Bayer's reagent |
B)
Pair | Reagent |
\[C{{H}_{3}}-C{{H}_{2}}-CH=C{{H}_{3}}-CH\equiv C-C{{H}_{3}}\] | Br, water |
C)
Pair | Reagent |
\[C{{H}_{3}}-C{{H}_{2}}-C\equiv CH,C{{H}_{3}}-CH\equiv C-C{{H}_{3}}\] | \[AgN{{O}_{3}}/N{{H}_{4}}OH\] |
D)
Pair | Reagent |
Neutral \[FeC{{l}_{3}}\] |
A) \[C{{H}_{3}}-CH=CH-C{{H}_{3}}\] done clear
B) done clear
C) \[C{{H}_{3}}-CH=CH-CHO\] done clear
D) done clear
View Answer play_arrowA) A done clear
B) B done clear
C) Both A & B equally done clear
D) can't say done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer90) Sulpha drugs are derivatives of
A) Para-amino benzoic acid done clear
B) Para-amino benzene sulphonic acid done clear
C) Para-amino benzene sulphonamide done clear
D) Para-amino benzene sulphonyl chloride done clear
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