A)
\[\frac{15}{8}\] done
clear
B)
\[1\] done
clear
C)
\[\frac{4}{9}\] done
clear
D)
\[2\] done
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View Answer play_arrow
A)
\[\frac{1}{512}\] done
clear
B)
\[\frac{1}{1024}\] done
clear
C)
\[\frac{1}{256}\] done
clear
D)
\[\frac{1}{2}\] done
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View Answer play_arrow
A)
a circle with centre on the \[x\]-axis done
clear
B)
an ellipse with major axis along the\[y\]-axis done
clear
C)
a circle with centre on the \[y\]-axis done
clear
D)
a hyperbola with transverse axis along the\[x\]-axis done
clear
View Answer play_arrow
A)
five elements done
clear
B)
one element done
clear
C)
three elements done
clear
D)
two elements done
clear
View Answer play_arrow
A)
\[4\] done
clear
B)
\[2\sqrt{2}\] done
clear
C)
\[\sqrt{5}\] done
clear
D)
\[3\] done
clear
View Answer play_arrow
A)
\[(2,3e)\] done
clear
B)
\[\left( \frac{4}{3},2e \right)\] done
clear
C)
\[\left( \frac{5}{3},2e \right)\] done
clear
D)
\[(3,6e)\] done
clear
View Answer play_arrow
A)
onto but not one-one. done
clear
B)
one-one but, not onto. done
clear
C)
both one-one and onto. done
clear
D)
neither one-one nor onto. done
clear
View Answer play_arrow
A)
three done
clear
B)
two done
clear
C)
four done
clear
D)
one done
clear
View Answer play_arrow
A)
\[-4\] done
clear
B)
\[-3\] done
clear
C)
\[4\] done
clear
D)
\[3\] done
clear
View Answer play_arrow
A)
\[\left( 3,5 \right)\] done
clear
B)
\[\left( 2,1 \right)\] done
clear
C)
\[\left( 2,6 \right)\] done
clear
D)
\[\left( 3,6 \right)\] done
clear
View Answer play_arrow
A)
\[\frac{24}{25}\] done
clear
B)
\[\frac{18}{25}\] done
clear
C)
\[\frac{4}{5}\] done
clear
D)
\[\frac{6}{25}\] done
clear
View Answer play_arrow
A)
\[I(z)=0\] done
clear
B)
\[R(z)>0\] and \[I(z)>0\] done
clear
C)
\[R(z)<0\]and \[I(z)>0\] done
clear
D)
\[R(z)=-3\] done
clear
View Answer play_arrow
A)
\[3\] done
clear
B)
\[6\] done
clear
C)
\[5\] done
clear
D)
\[4\] done
clear
View Answer play_arrow
A)
\[-2{{x}^{3}}-1\] done
clear
B)
\[-4{{x}^{3}}-1\] done
clear
C)
\[-2{{x}^{3}}+1\] done
clear
D)
\[4{{x}^{3}}+1\] done
clear
View Answer play_arrow
A)
\[13\] done
clear
B)
\[20\] done
clear
C)
\[-25\] done
clear
D)
\[25\] done
clear
View Answer play_arrow
Consider the following three statements: P : 5 is a prime number. Q : 7 is a factor of 192. R : L.C.M.of5 and 7 is 35. Then the truth value of which one of the following statements is true?
A)
\[(\tilde{\ }P)\vee (Q\wedge R)\] done
clear
B)
\[(P\wedge Q)\vee (\tilde{\ }R)\] done
clear
C)
\[(\tilde{\ }P)\wedge (\tilde{\ }Q\wedge R)\] done
clear
D)
\[P\vee (\tilde{\ }Q\wedge R)\] done
clear
View Answer play_arrow
A)
\[3\sqrt{2}\] done
clear
B)
\[2\sqrt{11}\] done
clear
C)
\[8\sqrt{2}\] done
clear
D)
\[6\sqrt{3}\] done
clear
View Answer play_arrow
A)
\[2\sqrt{3}\] done
clear
B)
\[-2\sqrt{3}\] done
clear
C)
\[-\sqrt{3}\] done
clear
D)
\[\sqrt{3}\] done
clear
View Answer play_arrow
A)
a hyperbola whose eccentricity is\[\frac{2}{\sqrt{1-r}},\]when done
clear
B)
an ellipse whose eccentricity is\[\sqrt{\frac{2}{r+1}},\]when done
clear
C)
a hyperbola whose eccentricity is \[\frac{2}{\sqrt{r+1}},\] when done
clear
D)
an ellipse whose eccentricity is \[\frac{1}{\sqrt{r+1}},\] when done
clear
View Answer play_arrow
A)
\[{{(25)}^{2}}\] done
clear
B)
\[{{2}^{25}}-1\] done
clear
C)
\[{{2}^{24}}\] done
clear
D)
\[{{2}^{25}}\] done
clear
View Answer play_arrow
A)
constant acceleration\[~=g\text{ }sin\text{ }\theta \] done
clear
B)
constant acceleration\[=(g\,\sin \,\theta -\mu \,g\,\cos \theta )\] done
clear
C)
constant retardation \[=(\mu \,g\,\,\cos \,\theta -g\sin \theta )\] done
clear
D)
variable acceleration that first decreases from \[g\text{ }sin\text{ }\theta \] to zero and then becomes negative. done
clear
View Answer play_arrow
A)
\[{{t}_{1}}<{{t}_{2}};{{W}_{1}}>{{W}_{2}}\] done
clear
B)
\[{{t}_{1}}>{{t}_{2}};{{W}_{1}}<{{W}_{2}}\] done
clear
C)
\[{{t}_{1}}={{t}_{2}};{{W}_{1}}={{W}_{2}}\] done
clear
D)
\[{{t}_{1}}>{{t}_{2}};{{W}_{1}}={{W}_{2}}\] done
clear
View Answer play_arrow
A)
the heat produced in the wire will be doubled done
clear
B)
the electric field across the wire will be doubled done
clear
C)
the heat produced will remain unchanged done
clear
D)
the electric field across the wire will remain unchanged done
clear
View Answer play_arrow
A)
the force experienced by a charged particle in an electric field is independent of its velocity done
clear
B)
the radius of the circular orbit of a charged particle in a magnetic field increase with increase in its speed done
clear
C)
at a given speed, the radius of the circular orbit is the same for particles having the same charge to mass ratio done
clear
D)
the frequency of revolution of the particle along the circular path does not depend on its speed. done
clear
View Answer play_arrow
A)
\[2\sqrt{2}\,m{{s}^{-1}}\] making an angle of \[45{}^\circ \] with the \[+x\] axis done
clear
B)
\[2\sqrt{2}\,m{{s}^{-1}}\] making an angle of \[135{}^\circ \] with the \[+x\] axis done
clear
C)
\[4\text{ }m{{s}^{-1}}\] along the \[-x\] axis done
clear
D)
\[4\text{ }m{{s}^{-1}}\] along the \[+x\] axis done
clear
View Answer play_arrow
A)
to slow down the neutrons thermal energies done
clear
B)
to absorb the neutrons and stop the chain reaction done
clear
C)
to cool the reactor done
clear
D)
to control the energy released in the reactor done
clear
View Answer play_arrow
A)
transmission done
clear
B)
communication done
clear
C)
modulation done
clear
D)
demodulation done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
Wire bent as ABOCD as shown, carries current I entering at A and leaving at D. Three uniform magnetic fields each \[{{B}_{0}}\] exist in the region as shown. The force on the wire is
A)
\[\sqrt{3}I\,R\,{{B}_{0}}\] done
clear
B)
\[\sqrt{5}I\,R\,{{B}_{0}}\] done
clear
C)
\[\sqrt{8}I\,R\,{{B}_{0}}\] done
clear
D)
\[\sqrt{6}I\,R\,{{B}_{0}}\] done
clear
View Answer play_arrow
A)
the frequency of characteristic x - rays of a material will get changed done
clear
B)
number of electrons emitted will change done
clear
C)
the difference between \[{{\lambda }_{0}}\] (minimum wavelength) and \[{{\lambda }_{k\alpha }}\] (wavelength of \[{{k}_{\alpha }}x-ray\]) will get changed done
clear
D)
difference between \[{{\lambda }_{k\alpha }}\] and \[{{\lambda }_{k\beta }}\] will get changed. done
clear
View Answer play_arrow
A)
\[\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\] done
clear
B)
\[2\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\] done
clear
C)
\[\sqrt{3}\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\] done
clear
D)
\[3\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\] done
clear
View Answer play_arrow
A)
\[{{({{A}_{1}}{{A}_{2}})}^{1/2}}\] done
clear
B)
\[\frac{{{A}_{1}}+{{A}_{2}}}{2}\] done
clear
C)
\[{{\left( \frac{1}{{{A}_{1}}}+\frac{1}{{{A}_{2}}} \right)}^{-1}}\] done
clear
D)
\[{{\left( \frac{\sqrt{{{A}_{1}}}+\sqrt{{{A}_{2}}}}{2} \right)}^{2}}\] done
clear
View Answer play_arrow
A)
\[{{L}_{1}}>{{L}_{2}};\text{ }{{C}_{1}}<{{C}_{2}}\] done
clear
B)
\[{{L}_{1}}<{{L}_{2}};\text{ }{{C}_{1}}<{{C}_{2}}\] done
clear
C)
\[{{L}_{1}}>{{L}_{2}};\text{ }{{C}_{1}}>{{C}_{2}}\] done
clear
D)
\[{{L}_{1}}<{{L}_{2}};\text{ }{{C}_{1}}>{{C}_{2}}\] done
clear
View Answer play_arrow
A)
\[\frac{R}{{{P}_{0}}{{V}_{0}}}\] done
clear
B)
\[\frac{{{P}_{0}}{{V}_{0}}}{R}\] done
clear
C)
\[\frac{1}{{{T}_{0}}}\] done
clear
D)
\[\frac{1}{n{{T}_{0}}}\] done
clear
View Answer play_arrow
A)
\[320\Omega \] and 10 mA done
clear
B)
\[70\Omega \] and 10 mA done
clear
C)
\[820\Omega \] and 10 mA done
clear
D)
\[820\Omega \] and 8 mA done
clear
View Answer play_arrow
A container of a large uniform cross-sectional area A resting on a horizontal surface holds two immiscible, non-viscous and incompressible liquids of densities 'd' and '2d' each of height (1/2)H as shown. The smaller density liquid is open to atmosphere. A homogeneous solid cylinder of length \[L\left( <\frac{1}{2}H \right)\] cross-sectional area (1/5) A is immersed such that it floats with its axis vertical to the liquid-liquid interface with length (1/4) L in denser liquid. if D is the density of the solid cylinder then:
A)
\[D=\frac{3d}{2}\] done
clear
B)
\[D=\frac{d}{2}\] done
clear
C)
\[D=\frac{2d}{3}\] done
clear
D)
\[D=\frac{5d}{4}\] done
clear
View Answer play_arrow
A)
\[1\times {{10}^{9}}{{m}^{2}}/s\] done
clear
B)
\[5\times {{10}^{9}}{{m}^{2}}/s\] done
clear
C)
\[5\times {{10}^{8}}{{m}^{2}}/s\] done
clear
D)
\[4\times {{10}^{15}}{{m}^{2}}/s\] done
clear
View Answer play_arrow
A uniform triangular wedge of mass M is kept on smooth horizontal surface. A horizontal force F is applied on the wedge, then net force on the upper portion ABC is (AB = l/2 and neglect any effect of rotation)
A)
F/4 done
clear
B)
F/3 done
clear
C)
F done
clear
D)
2F done
clear
View Answer play_arrow
A)
\[\frac{\pi \ell }{12}\] done
clear
B)
\[\frac{\ell }{2}\left( 1+\frac{\pi }{12} \right)\] done
clear
C)
\[\frac{\ell }{2}\left( 1-\frac{\pi }{6} \right)\] done
clear
D)
\[\frac{\ell }{2}\left( 1+\frac{\pi }{6} \right)\] done
clear
View Answer play_arrow
A)
\[\frac{2{{a}^{2}}}{3a-b}\] done
clear
B)
\[a-b\] done
clear
C)
\[2a-b\] done
clear
D)
\[a/b\] done
clear
View Answer play_arrow
A)
\[{{d}^{5}}\] (in strong ligand field) done
clear
B)
\[{{d}^{3}}\] (in weak as well as in strong fields) done
clear
C)
\[{{d}^{4}}\](in weak ligand fields) done
clear
D)
\[{{d}^{4}}\](in strong ligand fields) done
clear
View Answer play_arrow
A)
2-ethoxypropane done
clear
B)
ethoxypropane done
clear
C)
Methoxybutane done
clear
D)
2-methoxybutane done
clear
View Answer play_arrow
A)
Reducing agent, oxidising agent done
clear
B)
Reducing agent, reducing agent done
clear
C)
Oxidising agent, oxidising agent done
clear
D)
Oxidising agent, reducing agent done
clear
View Answer play_arrow
A)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{{{P}_{\infty }}}{3\left( {{P}_{\infty }}-{{P}_{t}} \right)} \right)\] done
clear
B)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{2{{P}_{\infty }}}{\left( {{P}_{\infty }}-{{P}_{t}} \right)} \right)\] done
clear
C)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{3{{P}_{\infty }}}{2{{P}_{\infty }}-{{P}_{\operatorname{t}}}} \right)\] done
clear
D)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{2{{P}_{\infty }}}{3\left( {{P}_{\infty }}-{{P}_{\operatorname{t}}} \right)} \right)\] done
clear
View Answer play_arrow
A)
7, 6, 8 done
clear
B)
1, 0, 2 done
clear
C)
6, 6, 6 done
clear
D)
8, 6, 8 done
clear
View Answer play_arrow
In the following reactions, (i) (ii) \[\operatorname{A}\xrightarrow[in\,absence\,of\,peroxide]{HBr,dark}\underset{\left( major \right)}{\mathop{\operatorname{C}}}\,+\underset{\left( minoor \right)}{\mathop{\operatorname{D}}}\,\] The major product [A] and [C] are respectively:
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
A)
454 done
clear
B)
804 done
clear
C)
852 done
clear
D)
910 done
clear
View Answer play_arrow
The following mechanism has been proposed for the exothermic catalyzed complex reaction \[\operatorname{A}+BIAB\xrightarrow{{{k}_{1}}}\operatorname{AB}+I\xrightarrow{{{k}_{2}}}\operatorname{P}+A\] If \[{{k}_{1}}\], is much smaller than \[{{\operatorname{k}}_{2}}\] the most suitable qualitative plot of potential energy (P. E.) versus reaction co-ordinate (R.C.) for the above reaction
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
A)
\[y>x>z\] done
clear
B)
\[z>x>y\] done
clear
C)
\[z>y>x\] done
clear
D)
\[y>z>x\] done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
A)
0.12g done
clear
B)
0.21 g done
clear
C)
0.252g done
clear
D)
0.3 g done
clear
View Answer play_arrow
A)
By measurement of their conductivity done
clear
B)
By titration method done
clear
C)
By precipitation method with \[AgN{{O}_{3}}\] done
clear
D)
By electrolysis of their aqueous solutions done
clear
View Answer play_arrow
Formation of polyethylene from calcium carbide takes place as follows \[Ca{{C}_{2}}+2{{H}_{2}}O\xrightarrow{{}}Ca{{(OH)}_{2}}+{{C}_{2}}{{H}_{2}}\] \[{{C}_{2}}{{H}_{2}}+{{H}_{2}}\xrightarrow{{}}{{C}_{2}}{{H}_{4}}\] \[n{{C}_{2}}{{H}_{4}}\xrightarrow{{}}{{\left( -C{{H}_{2}}-C{{H}_{2}}- \right)}_{n}}\] The amount of polyethylene obtained from 64.1 kg of \[Ca{{C}_{2}}\]is
A)
7 kg done
clear
B)
14 kg done
clear
C)
21 kg done
clear
D)
28 kg done
clear
View Answer play_arrow
A)
100 mL 0.1 M HCl+100mL 0.1 M KCl done
clear
B)
100 mL 0.1M \[{{H}_{2}}S{{O}_{4}}\]+100 mL 0.1M NaOH done
clear
C)
100 mL 0.1M\[{{\operatorname{CH}}_{3}}COOH\]+100mL 0.1M KOH done
clear
D)
50 mL 0.1M HCl+50mL 0.1 M \[C{{H}_{3}}COONa\] done
clear
View Answer play_arrow
A)
0.85 K done
clear
B)
-3.53K done
clear
C)
0 K done
clear
D)
-0.38K done
clear
View Answer play_arrow
Consider the following reaction: \[M{{X}_{4}}+X{{'}_{2}}\xrightarrow{{}}M{{X}_{4}}X{{'}_{2}}\]
If atomic number of M is 52 and X and X' are halogens and X' is more electronegative than X. Then choose correct statement regarding given information:
A)
Both X' atoms occupy axial positions which are formed by overlapping of p and \[d\]-orbitals only done
clear
B)
All M - X bond lengths are identical in both \[{{\operatorname{MX}}_{4}}\] and \[{{\operatorname{MX}}_{4}}X'{{ }_{2}}\] compounds done
clear
C)
Central atom 'M' does not use non-axial set of \[d\]-orbital in hybridization of final product. done
clear
D)
Hybridization of central atom 'M' remains same in both reactant and final product. done
clear
View Answer play_arrow
A)
3-methylpentene-2 done
clear
B)
3-methylpentene-3 done
clear
C)
3-methylhexene-3 done
clear
D)
3-ethylpentene-3 done
clear
View Answer play_arrow
A)
\[{{[Fe{{(CN)}_{6}}]}^{4-}}>{{[MnC{{l}_{4}}]}^{2-}}>{{[CoC{{l}_{4}}]}^{2-}}\] done
clear
B)
\[{{[MnC{{l}_{4}}]}^{2-}}>{{[Fe{{(CN)}_{6}}]}^{4-}}>{{[CoC{{l}_{4}}]}^{2-}}\] done
clear
C)
\[{{[MnC{{l}_{4}}]}^{2-}}>{{[CoC{{l}_{4}}]}^{2-}}>{{[Fe{{(CN)}_{6}}]}^{4-}}\] done
clear
D)
\[{{[Fe{{(CN)}_{6}}]}^{4-}}>{{[CoC{{l}_{4}}]}^{2-}}>{{[MnC{{l}_{4}}]}^{2-}}\] (Atomic nos.: Mn=25, Fe=26, Co=27) done
clear
View Answer play_arrow
A)
Urea done
clear
B)
benzamide done
clear
C)
Acetamide done
clear
D)
thiourea done
clear
View Answer play_arrow
A)
4.95 g, 0.8 A done
clear
B)
5.5g, 0.9A done
clear
C)
4.76 g, 0.8 A done
clear
D)
5.85 g, 0.5 A done
clear
View Answer play_arrow
A)
Bird done
clear
B)
Wind done
clear
C)
Water done
clear
D)
Insects done
clear
View Answer play_arrow
A)
N-glycosidic Bond done
clear
B)
Phosphodiester bond done
clear
C)
Hydrogen bond done
clear
D)
Disulfide bond done
clear
View Answer play_arrow
A)
Ammonia done
clear
B)
\[NO_{3}^{-}\] done
clear
C)
Glutamate3 done
clear
D)
\[NO_{2}^{-}\] done
clear
View Answer play_arrow
A)
Cycas done
clear
B)
Equisetum done
clear
C)
Psilotum done
clear
D)
Pinus done
clear
View Answer play_arrow
A)
Frutose 1, 6-bisphosphate done
clear
B)
Pyruvic acid done
clear
C)
Acetyl CoA done
clear
D)
Glucose-6-phosphate done
clear
View Answer play_arrow
A)
Pseudomonas done
clear
B)
Bacillus done
clear
C)
Methanogens done
clear
D)
Cyanobacteria done
clear
View Answer play_arrow
A)
ATP synthesis done
clear
B)
DNA synthesis done
clear
C)
Protein synthesis done
clear
D)
Protein glycosylation done
clear
View Answer play_arrow
A)
Conidia done
clear
B)
Gemmule done
clear
C)
Megaspore done
clear
D)
Meiocyte done
clear
View Answer play_arrow
A)
Kinetochore done
clear
B)
Bivalent done
clear
C)
Axoneme done
clear
D)
Equatorial plate done
clear
View Answer play_arrow
A)
In digesting proteins and carbohydrates done
clear
B)
As energy transferring organelles done
clear
C)
In post translational modification of proteins and glycosidation of lipids done
clear
D)
In trapping the light and transforming it into chemical energy done
clear
View Answer play_arrow
Match column I with column II Column - I Column - II A. Smack P. Erythroxylon Coca B. Morphine Q. Sedative & Painkiller C. Cannabinoids R. Diacetylmorphine D. Crack S. Marijuana
A)
A\[\to \]P, B\[\to \]S, C\[\to \]Q, D\[\to \]R done
clear
B)
A\[\to \]R, B\[\to \]Q, C\[\to \]S, D\[\to \]P done
clear
C)
A\[\to \]R, B\[\to \]S, C\[\to \]P, D\[\to \]Q done
clear
D)
A\[\to \]R, B\[\to \]Q, C\[\to \]P, D\[\to \]Q done
clear
View Answer play_arrow
A)
clear
B)
Interstitial cell Leydig cells
done
clear
C)
Follicular phase Secretory phase
done
clear
D)
Spermatogonia Male germs cell
done
clear
View Answer play_arrow
Match column I with column II A. IUDS I. Absence of menstruation B. Condoms II. Lippes loop, Cu-T, multiload 375 C. Lactational III. Made of thin rubber/latex Amenorrhea D. Saheli IV. Oral contraceptive
A)
A-I, B-III, C-II, D-IV done
clear
B)
A-III, B-I, C-II, D-IV done
clear
C)
A-II, B-III, C-I, D-IV done
clear
D)
A-I, B-II, C-III, D-IV done
clear
View Answer play_arrow
A)
Defence mechanisms of body done
clear
B)
Osmotic balance of body fluid done
clear
C)
Oxygen transport in the blood done
clear
D)
Clotting of blood done
clear
View Answer play_arrow
A)
Physiological & inflammatory barrier done
clear
B)
Lymphocyte done
clear
C)
Erythrocytes done
clear
D)
NK-cells done
clear
View Answer play_arrow
Match column I with column II Column-I Column-II A. Kwashiorkor i. Iron B. General Anaemia ii. Biotin C. Dermatitis iii. Protien D. Pellegra iv. Niacin
A)
A\[\to \]iv, B\[\to \]i, C\[\to \]ii, D\[\to \]iii done
clear
B)
A\[\to \]ii, B\[\to \]i, C\[\to \]iii, D\[\to \]iv done
clear
C)
A\[\to \]iii, B\[\to \]i, C\[\to \]ii, D\[\to \]iv done
clear
D)
A\[\to \]i, B\[\to \]iii, C\[\to \]ii, D\[\to \]iv done
clear
View Answer play_arrow
A)
Peroxidase done
clear
B)
Polymerase done
clear
C)
Ligase done
clear
D)
Endonuclease done
clear
View Answer play_arrow
A)
I\[\to \]M; II\[\to \]P; III\[\to \]N; IV\[\to \]O done
clear
B)
I\[\to \]P; II\[\to \]M; III\[\to \]N; IV\[\to \]O done
clear
C)
I\[\to \]N; II\[\to \]P; III\[\to \]O, IV\[\to \]M done
clear
D)
I\[\to \]P; II\[\to \]O, III\[\to \]N; IV\[\to \]M done
clear
View Answer play_arrow
A)
The young ones are left on their own done
clear
B)
The young ones are protected by a thick shell done
clear
C)
The young ones are protected inside the mother's body and are looked after they are born leading to more chances of survival done
clear
D)
The embryo takes a long time to develop done
clear
View Answer play_arrow
A)
560 c.c. done
clear
B)
900 c.c. done
clear
C)
1,300 c.c. done
clear
D)
1,000 c.c. done
clear
View Answer play_arrow
A)
\[(-2,3,5)\] done
clear
B)
\[(4,-1,7)\] done
clear
C)
\[(2,1,3)\] done
clear
D)
\[(4,1,-2)\] done
clear
View Answer play_arrow
A)
\[\frac{21}{19}\] done
clear
B)
\[\frac{19}{21}\] done
clear
C)
\[\frac{22}{23}\] done
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D)
\[\frac{23}{22}\] done
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View Answer play_arrow
A)
\[509.5\] done
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B)
\[586.5\] done
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C)
\[582.5\] done
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D)
\[507.5\] done
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A)
exists and equals\[\frac{4}{7}.\] done
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B)
exists and equals 4. done
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C)
does not exist. done
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D)
exists and equals 0. done
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A)
third done
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B)
second done
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C)
first done
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D)
fourth done
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View Answer play_arrow
A)
\[\frac{1}{12}(7\pi +5)\] done
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B)
\[\frac{1}{12}(7\pi -5)\] done
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C)
\[\frac{3}{20}(4\pi -3)\] done
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D)
\[\frac{3}{10}(4\pi -3)\] done
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View Answer play_arrow
A)
\[\frac{x+3}{3}=\frac{4-y}{3}=\frac{z+1}{-2}\] done
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B)
\[\frac{x-4}{1}=\frac{y-5}{1}=\frac{z-5}{-1}\] done
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C)
\[\frac{x-1}{1}=\frac{y-3}{2}=\frac{z+4}{-5}\] done
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D)
\[\frac{x-2}{2}=\frac{y-3}{2}=\frac{z+3}{3}\] done
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View Answer play_arrow
Let \[{{a}_{1}},{{a}_{2}},{{a}_{3}},...{{a}_{10}}\] be in G.P. with\[{{a}_{i}}>0\]for\[i=1,\]\[2,....,10\] and S be the set of pairs \[(r,k),r,k\in N\] (the set of natural numbers) for which \[\left| \begin{matrix} {{\log }_{e}}a_{1}^{r}a_{2}^{k} & {{\log }_{e}}a_{2}^{r}a_{3}^{k} & {{\log }_{e}}a_{3}^{r}a_{4}^{k} \\ {{\log }_{e}}a_{4}^{r}a_{5}^{k} & {{\log }_{e}}a_{5}^{r}a_{6}^{k} & {{\log }_{e}}a_{6}^{r}a_{7}^{k} \\ {{\log }_{e}}a_{7}^{r}a_{8}^{k} & {{\log }_{e}}a_{8}^{r}a_{9}^{k} & {{\log }_{e}}a_{9}^{r}a_{10}^{k} \\ \end{matrix} \right|=0\] Then the number of elements in S, is:
A)
\[4\] done
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B)
infinitely many done
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C)
\[2\] done
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D)
\[10\] done
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A)
\[7:1\] done
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B)
\[5:3\] done
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C)
\[9:7\] done
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D)
\[3:1\] done
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View Answer play_arrow
A)
\[\frac{\sqrt{5}}{6}\] done
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B)
\[\frac{1}{3}\sqrt{\frac{7}{3}}\] done
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C)
\[\frac{1}{6}\sqrt{\frac{7}{3}}\] done
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D)
\[\frac{1}{2}\] done
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View Answer play_arrow
A)
\[\frac{{{q}^{2}}}{\pi {{\varepsilon }_{0}}r}\] done
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B)
\[\frac{{{q}^{2}}}{4\pi {{\varepsilon }_{0}}r}\] done
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C)
\[\frac{{{q}^{2}}}{8\pi {{\varepsilon }_{0}}r}\] done
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D)
\[\frac{{{q}^{2}}}{16\pi {{\varepsilon }_{0}}r}\] done
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View Answer play_arrow
A)
V/8 volts done
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B)
V/4 volts done
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C)
4V volts done
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D)
8V volts done
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View Answer play_arrow
A)
\[{{v}_{2}}>{{v}_{1}};{{t}_{2}}<{{t}_{1}}\] done
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B)
\[{{v}_{2}}={{v}_{1}};{{t}_{2}}<{{t}_{1}}\] done
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C)
\[{{v}_{2}}<{{v}_{1}};{{t}_{2}}>{{t}_{1}}\] done
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D)
\[{{v}_{2}}={{v}_{1}};{{t}_{2}}={{t}_{1}}\] done
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View Answer play_arrow
Figure shows a metal ball of mass 50 kg and radius \[\frac{2}{\sqrt{\pi }}m\] is placed on an insulating uncharged stand, in space an upward electric field \[5\times {{10}^{5}}N/C\] is switched on. A stream of light ions is incident on the ball from left side at a speed \[2\times {{10}^{6}}m/s\] shown in figure. If charge on ball at \[t=0\] was zero, find the time in seconds at which ball will be lifted from the stand. The charge density of ion beam is \[5\times {{10}^{-12}}coul/{{m}^{3}}\]. Assume that all charge incident on the ball is absorbed.
A)
10 sec. done
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B)
15 sec. done
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C)
20 sec. done
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D)
25 sec. done
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A particle is projected from point A, that is at a distance 4R from the centre of the earth, with speed \[{{V}_{1}}\] in a direction making \[30{}^\circ \] with the line joining the centre of the earth and point A, as shown. Find the speed \[{{V}_{1}}\] if particle grazes the surface of the earth as shown in figure. Consider gravitational interaction only between these two. \[(use\,\,\frac{GM}{R}=6.4\times {{10}^{7}}{{m}^{2}}/{{s}^{2}})\]
A)
\[4\sqrt{2}\,km/s\] done
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B)
\[3\sqrt{2}\,km/s\] done
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C)
\[6\sqrt{2}\,km/s\] done
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D)
\[5\sqrt{2}\,km/s\] done
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View Answer play_arrow
A)
\[2\times {{10}^{9}}\,years\] done
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B)
\[4\times {{10}^{9}}\,years\] done
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C)
\[6\times {{10}^{9}}\,years\] done
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D)
\[8\times {{10}^{9}}\,years\] done
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View Answer play_arrow
A)
\[2\sqrt{\frac{2\,\,r\,\,T}{{{\varepsilon }_{0}}}}\] done
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B)
\[8\,\,\pi \,\,r\,\,\sqrt{2\,\,r\,\,T\,\,{{\varepsilon }_{0}}}\] done
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C)
\[8\,\,\pi \,\,r\,\,\sqrt{r\,\,T\,\,{{\varepsilon }_{0}}}\] done
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D)
\[8\,\,\pi \,\,r\,\,\sqrt{\frac{2\,\,r\,\,T}{{{\varepsilon }_{0}}}\,\,}\] done
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View Answer play_arrow
In the shown figure a battery (ideal) is joined between terminals A and B having EMF=E. Find the current supplied by the battery :
A)
\[\frac{8E}{R}\] done
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B)
\[\frac{8E}{3R}\] done
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C)
\[\frac{4E}{R}\] done
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D)
\[\frac{4E}{3R}\] done
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View Answer play_arrow
A rod of length 1000 mm and co-efficient of linear expansion \[a={{10}^{-4}}\] per degree is placed symmetrically between fixed walls separated by 1001 mm. The Young's modulus of the rod is \[{{10}^{11}}\text{ }N/{{m}^{2}}\]. If the temperature is increased by \[20{}^\circ C\,\], then the stress developed in the rod is (in\[N/{{m}^{2}}\]):
A)
10 done
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B)
\[{{10}^{8}}\] done
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C)
\[2\times {{10}^{8}}\] done
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D)
cannot be calculated done
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A ring of radius R having a linear charge density \[\lambda \] moves towards a solid imaginary sphere of radius \[\frac{R}{2}\], so that the centre of ring passes through the centre of sphere. The axis of the ring is perpendicular to the line joining the centres of the ring and the sphere. The maximum flux through the sphere in this process is:
A)
\[\frac{\lambda R}{{{\in }_{0}}}\] done
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B)
\[\frac{\lambda R}{2{{\in }_{0}}}\] done
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C)
\[\frac{\lambda \pi R}{4{{\in }_{0}}}\] done
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D)
\[\frac{\lambda \pi R}{3{{\in }_{0}}}\] done
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Based on the given diagram, the correct statements regarding the homogenous solutions of two volatile liquids is (1) Plots AD and BC show that Raoult's law is obeyed for the solution in which B is a solvent and A is the solute and as well as for that in which A is solvent and B is solute. (2) Plot CD shows that Dalton's law of partial pressures is obeyed by the binary solution of components A and B. (3) EF + EG = EH; and AC and BD correspond to the vapour pressures of the pure solvents A and B respectively.
A)
Only 1 done
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B)
2 and 3 done
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C)
1 and 3 done
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D)
All Statements are correct done
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View Answer play_arrow
A)
\[8.68\times {{10}^{8}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\] done
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B)
\[2.16\times {{10}^{7}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\] done
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C)
\[4.34\times {{10}^{8}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\] done
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D)
\[3.34\times {{10}^{8}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\] done
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View Answer play_arrow
A)
Fe metal and cone. \[HN{{O}_{3}}\] done
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B)
Cu metal and cone. \[HN{{O}_{3}}\] done
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C)
Zn metal and \[NaOH\text{ }(aq)\] done
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D)
Au metal and \[NaCN\text{ }(aq)\] in the presence of air done
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View Answer play_arrow
For the following molecules: \[PC{{l}_{5}},Br{{F}_{3}},ICl_{2}^{-},XeF_{5}^{-},NO_{3}^{-},Xe{{O}_{2}}{{F}_{2}},PCl_{4}^{+},CH_{3}^{+}\]
Calculate the value of \[\frac{(a+b)}{c}\]
a = Number of species having \[s{{p}^{3}}d\]-hybridisation
b = Number of species which are planar
c = Number of species which are non-planar
A)
2 done
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B)
4 done
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C)
3 done
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D)
5 done
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View Answer play_arrow
A)
\[\frac{\frac{13}{3}\pi \operatorname{r}_{-}^{3}+\frac{16}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\] done
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B)
\[\frac{\frac{13}{3}\pi \operatorname{r}_{-}^{3}+\frac{4}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\] done
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C)
\[\frac{\frac{16}{3}\pi \operatorname{r}_{-}^{3}+\frac{13}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\] done
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D)
\[\frac{\frac{4}{3}\pi \operatorname{r}_{-}^{3}+\frac{13}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\] done
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A)
Be, Al done
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B)
Al, Be done
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C)
Be, Ca done
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D)
Mg, Ca done
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View Answer play_arrow
A)
2 done
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B)
3 done
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C)
4 done
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D)
5 done
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View Answer play_arrow
A)
65.86 done
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B)
70.86 done
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C)
75.45 done
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D)
79.25 done
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View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
Reaction not possible done
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View Answer play_arrow
A)
\[75\times {{10}^{-13}}\] done
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B)
\[75\times {{10}^{-12}}\] done
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C)
\[7.5\times {{10}^{-12}}\] done
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D)
\[7.5\times {{10}^{-13}}\] done
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View Answer play_arrow
A)
Reduced chlorophyll done
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B)
Proton gradient done
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C)
Coxidised chlorophyll done
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D)
ATP done
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View Answer play_arrow
A)
2-celled stage done
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B)
3-celled stage done
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C)
4-celled stage done
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D)
1-celled stage done
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View Answer play_arrow
A)
3 : 1 done
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B)
1: 2 : 1 done
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C)
2 : 1 : 1 done
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D)
9 : 3 : 3 : 1 done
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View Answer play_arrow
A. \[\frac{X}{A}=1\] B. \[\frac{X}{A}>more\,\,than\,\,1\] C. \[\frac{X}{A}=0.5\] Here, X = number of X-chromosome A = set of autosomal pair Choose the correct option for A, B and C result.
A)
A\[-\]female, B\[-\]meta female, C\[-\]male done
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B)
A\[-\]female, B\[-\]meta female, C\[-\]female done
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C)
A\[-\]female, B\[-\]female, C\[-\]male done
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D)
A\[-\]meta female, B\[-\]female, C\[-\]male done
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View Answer play_arrow
A)
Insertion done
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B)
Change in single base pair done
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C)
Duplication done
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D)
Deletion done
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View Answer play_arrow
A)
Wheat and rice done
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B)
Wheat and rye done
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C)
Wheat and aegilops done
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D)
Rice and maize done
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View Answer play_arrow
A)
\[3.3\times {{10}^{7}}\,\,bp\] done
clear
B)
\[3.3\times {{10}^{8}}\,\,bp\] done
clear
C)
\[3.3\times {{10}^{9}}\,\,bp\] done
clear
D)
\[3.3\times {{10}^{10}}\,\,bp\] done
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View Answer play_arrow
A)
Exons end exons are joined done
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B)
Introns end exons are joined done
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C)
Exons only done
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D)
Intron only done
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View Answer play_arrow
A)
Regulator done
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B)
Promoter done
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C)
Operator done
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D)
Structural genes done
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View Answer play_arrow
A)
Ligase done
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B)
Polymerase done
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C)
Helicase done
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D)
Reverse transcriptase done
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View Answer play_arrow