A) react with alcoholic potash and give the same product done clear
B) are position isomers done clear
C) contain the same percentage of chlorine done clear
D) are both hydro lysed to the same product done clear
View Answer play_arrowquestion_answer2) An aqueous solution of sodium carbonate has a pH greater than 7 because:
A) it contains more carbonate ions than \[{{H}_{2}}O\] molecules done clear
B) contains more sodium ions than carbonate ions done clear
C) Na+ ions react with water done clear
D) carbonate ions react with\[{{H}_{2}}O\] done clear
View Answer play_arrowA) \[\frac{1.21}{1}\] done clear
B) \[\frac{1.46}{1}\] done clear
C) \[\frac{2}{1}\] done clear
D) \[\frac{4}{1}\] done clear
View Answer play_arrowquestion_answer4) A fire of lithium, sodium and potassium can be extinguished by
A) \[{{H}_{2}}O\] done clear
B) Nitrogen done clear
C) \[C{{O}_{2}}\] done clear
D) Asbestose blanket done clear
View Answer play_arrowquestion_answer5) An 'fcc' in a unit cell of aluminium contains the equivalent of how many atoms?
A) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowquestion_answer6) Moissan boron is
A) amorphous boron of ultra purity done clear
B) crystalline boron of ultra purity done clear
C) amorphous boron of low purity done clear
D) crystalline boron of low purity done clear
View Answer play_arrow(i) Activation energy |
(ii) Equilibrium constant |
(iii) Reaction enthalpy |
A) (i) only done clear
B) (iii) only done clear
C) (i) and (ii) only done clear
D) All of these done clear
View Answer play_arrowquestion_answer8) How many H-atoms are present in 0.046 g of ethanol?
A) \[6\times {{10}^{20}}\] done clear
B) \[1.2\times {{10}^{21}}\] done clear
C) \[3\times {{10}^{21}}\] done clear
D) \[3.6\times {{10}^{21}}\] done clear
View Answer play_arrowA) \[Al\]&\[N{{H}_{3}}\] done clear
B) Li &\[N{{H}_{3}}\] done clear
C) Na &\[N{{H}_{3}}\] done clear
D) Mg &\[N{{H}_{3}}\] done clear
View Answer play_arrowquestion_answer10) Asthma patient use a mixture of.... for respiration.
A) \[{{O}_{2}}\]and\[C{{O}_{2}}\] done clear
B) \[{{O}_{2}}\]and He done clear
C) \[{{O}_{2}}\]and\[N{{H}_{3}}\] done clear
D) \[{{O}_{2}}\]and CO done clear
View Answer play_arrowA) ethyl alcohol and 2-propanol done clear
B) ehtane and hemi acetal done clear
C) 2-propanol and acetal done clear
D) propane and methyl acetate done clear
View Answer play_arrowA) freeze done clear
B) boil done clear
C) exhibit precipitation of NaNO. done clear
D) exhibit a marked color change done clear
View Answer play_arrowquestion_answer13) Carnal lite in solution (in \[{{H}_{2}}O\]), shows the properties of:
A) \[{{K}^{+}},M{{g}^{2+}},C{{l}^{-}}\] done clear
B) \[{{K}^{+}},C{{l}^{-}},SO_{4}^{2-},B{{r}^{-}}\] done clear
C) \[{{K}^{+}},M{{g}^{2+}},CO_{3}^{2-}\] done clear
D) \[{{K}^{+}},M{{g}^{2+}},C{{l}^{-}},B{{r}^{-}}\] done clear
View Answer play_arrowA) 6, 5, 4 done clear
B) 3, 2, 1 done clear
C) 0, 1, 2 done clear
D) 3, 3, 3 done clear
View Answer play_arrowquestion_answer15) Polyethylene is
A) Random copolymer done clear
B) Homo polymer done clear
C) Alternate copolymer done clear
D) Cross linked copotymer done clear
View Answer play_arrowA) Cane sugar done clear
B) Fructose done clear
C) Proteins done clear
D) Glucose done clear
View Answer play_arrowA) \[sp<s{{p}^{2}}<s{{p}^{3}}\] done clear
B) \[sp<s{{p}^{3}}<s{{p}^{2}}\] done clear
C) \[s{{p}^{3}}<s{{p}^{2}}<sp\] done clear
D) \[s{{p}^{2}}<sp<s{{p}^{3}}\] done clear
View Answer play_arrowA) 0.107 M done clear
B) 0.126 M done clear
C) 0.214 M done clear
D) - 0.428 M done clear
View Answer play_arrowA) 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_arrowA) Methoxy benzene > Toluene > Bromo benzene done clear
B) Phenol > N-Propyl benzene > Benzoic acid done clear
C) Chlorotoluene > Para Nitro toluene > 2-chloro-4-Nitrotoluene done clear
D) Benzoic acid > Phenol > N-Propyl benzene done clear
View Answer play_arrowA) \[100{}^\circ C\text{ }\And \text{ }4\text{ }atm\] done clear
B) \[100{}^\circ C\text{ }\And \text{ }2\text{ }atm\] done clear
C) \[-100{}^\circ C\text{ }\And \text{ }4\text{ }atm\] done clear
D) \[0{}^\circ C\text{ }\And \text{ }2\text{ }atm\] done clear
View Answer play_arrowquestion_answer22) Which is not true for beryllium?
A) Beryllium is amphoteric done clear
B) It forms unusual carbide,\[B{{e}_{2}}C\] done clear
C) Be\[{{(OH)}_{2}}\] is basic done clear
D) Beryllium halides are electron deficient done clear
View Answer play_arrowA) Nuclear charge and electron affinity done clear
B) lonization energy and electron affinity done clear
C) Atomic radius and electron affinity done clear
D) None of these done clear
View Answer play_arrowquestion_answer24) Which of the following pairs has heat of neutralization equal to 13.7 kcals?
A) \[HCl,\,N{{H}_{4}}OH\] done clear
B) \[HN{{O}_{3}},KOH\] done clear
C) \[C{{H}_{3}}C{{H}_{2}}NH.C{{H}_{2}}C{{H}_{3}}\] done clear
D) \[{{H}_{2}}S{{O}_{4}},N{{H}_{4}}OH\] done clear
View Answer play_arrowA) 75.5 done clear
B) 85.5 done clear
C) 40.0 done clear
D) 86.0 done clear
View Answer play_arrowA) \[C{{H}_{3}}N{{H}_{2}}\] done clear
B) \[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}\] done clear
C) \[C{{H}_{3}}C{{H}_{2}}NH.C{{H}_{2}}C{{H}_{3}}\] done clear
D) \[{{(C{{H}_{3}}C{{H}_{2}})}_{3}}N\] done clear
View Answer play_arrowA) ammonium nitrite done clear
B) ammonium sulphate done clear
C) ammonium phosphate done clear
D) ammonium nitrate done clear
View Answer play_arrowA) \[CO_{3}^{2-}\] done clear
B) \[C{{l}^{-}}\] done clear
C) \[SO_{4}^{2-}\] done clear
D) \[{{S}^{2-}}\] done clear
View Answer play_arrowA) 40 mL done clear
B) 20 mL done clear
C) 10 mL done clear
D) 4 mL done clear
View Answer play_arrowA) 50 done clear
B) 78.4 done clear
C) 80 done clear
D) 39.2 done clear
View Answer play_arrowA) 0.5 m done clear
B) 5 m done clear
C) 50 m done clear
D) 500 m done clear
View Answer play_arrowA) \[5890\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
B) \[3680\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
C) \[9424\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
D) \[15078\overset{\text{o}}{\mathop{\text{A}}}\,\] done clear
View Answer play_arrowA) 1 kHz done clear
B) 2 kHz done clear
C) 4 kHz done clear
D) 6 kHz done clear
View Answer play_arrowA) 300 K done clear
B) 400 K done clear
C) 500 K done clear
D) 700 K done clear
View Answer play_arrowA) \[\frac{Mv}{M-m}\] done clear
B) \[v\] done clear
C) \[\frac{mv}{M}\] done clear
D) \[\frac{M-m}{m}v\] done clear
View Answer play_arrowA) A done clear
B) B done clear
C) C done clear
D) D done clear
View Answer play_arrowA) \[ML{{T}^{-1}}{{A}^{-1}}\] done clear
B) \[ML{{T}^{-2}}{{A}^{-2}}\] done clear
C) \[{{M}^{-1}}{{L}^{-3}}{{T}^{+4}}{{A}^{2}}\] done clear
D) \[{{M}^{2}}{{L}^{-2}}{{T}^{-2}}{{A}^{2}}\] done clear
View Answer play_arrowA) 40 units done clear
B) 160 units done clear
C) 320 units done clear
D) 640 units done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 4 done clear
D) 8 done clear
View Answer play_arrowA) \[11.2\times {{10}^{2}}km{{s}^{-1}}\] done clear
B) \[112km{{s}^{-1}}\] done clear
C) \[11.2\text{ }km{{s}^{-1}}\] done clear
D) \[11.2\times {{10}^{-2}}\text{ }km{{s}^{-1}}\] done clear
View Answer play_arrowA) \[{{r}^{2}}\] done clear
B) 1/r done clear
C) r done clear
D) \[-1/{{r}^{2}}\] done clear
View Answer play_arrowA) 1 : 4 done clear
B) 1 : 2 done clear
C) 2 : 1 done clear
D) 4 : 1 done clear
View Answer play_arrowquestion_answer43) When a proton, anti-proton annihilate the energy released is
A) \[1.5\times {{10}^{10}}J\] done clear
B) \[28.8\times {{10}^{-10}}J\] done clear
C) \[6\times {{10}^{-10}}J\] done clear
D) \[9\times {{10}^{-10}}J\] done clear
View Answer play_arrowA) 40 A done clear
B) 4 A done clear
C) 0.4 A done clear
D) 0.2 A done clear
View Answer play_arrowA) \[\frac{\pi }{2}cm/{{s}^{2}}\] done clear
B) \[\frac{{{\pi }^{2}}}{2}cm/{{s}^{2}}\] done clear
C) \[\frac{{{\pi }^{2}}}{4}cm/{{s}^{2}}\] done clear
D) \[\frac{\pi }{4}cm/{{s}^{2}}\] done clear
View Answer play_arrowquestion_answer46) What is the electric potential at the centre of the square?
A) zero done clear
B) \[kq/a\sqrt{2}\] done clear
C) \[kq/{{a}^{2}}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer47) If \[E=a{{t}^{4}}+b{{t}^{2}},\]what is the temperature of inversion
A) \[-\frac{a}{2b}\] done clear
B) \[+\frac{a}{2b}\] done clear
C) \[-\frac{a}{b}\] done clear
D) \[+\frac{a}{b}\] done clear
View Answer play_arrowA) \[T\propto \frac{1}{\sqrt{A}}\] done clear
B) \[T\propto \frac{1}{\rho }\] done clear
C) \[T\propto \frac{1}{\sqrt{m}}\] done clear
D) \[T\propto \sqrt{\rho }\] done clear
View Answer play_arrowA) Internal resistance depends between the two electrode plates. done clear
B) Internal resistance does not depend on the area of the plates immersed in the electrolyte. done clear
C) Internal resistance depends on the nature of the electrolyte. done clear
D) Internal resistance depends on the nature of the electrodes. done clear
View Answer play_arrowA) \[\rho =\frac{X\pi D}{4L}\] done clear
B) \[\rho =\frac{X\pi {{D}^{2}}}{4L}\] done clear
C) \[\rho =\frac{{{X}^{2}}\pi {{D}^{2}}}{4L}\] done clear
D) \[\rho =\frac{X\pi {{D}^{2}}}{4{{L}^{\,2}}}\] done clear
View Answer play_arrowA) to adjust the current done clear
B) to adjust the length of the wire done clear
C) to adjust the time for which current is let to pass done clear
D) both [a] and [c] done clear
View Answer play_arrowA) 40 cm done clear
B) 20 cm done clear
C) 10 cm done clear
D) 15 cm done clear
View Answer play_arrowDIRECTIONS: Read the following passage and answer the questions that follows: |
Two metallic plates A and B, each of area \[5\times {{10}^{-4}}{{m}^{2}},\] are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of \[33.7\times {{10}^{-12}}C.\]A mono-chromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at \[t=0\]so that \[{{10}^{6}}\]photons fall on it per square meter per second. Assume that one photoelectron is emitted for every l06 incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2 eV. |
A) \[5\times {{10}^{7}}\] done clear
B) \[2\times {{10}^{6}}\] done clear
C) \[5\times {{10}^{6}}\] done clear
D) \[2\times {{10}^{7}}\] done clear
View Answer play_arrowDIRECTIONS: Read the following passage and answer the questions that follows: |
Two metallic plates A and B, each of area \[5\times {{10}^{-4}}{{m}^{2}},\] are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of \[33.7\times {{10}^{-12}}C.\]A mono-chromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at \[t=0\]so that \[{{10}^{6}}\]photons fall on it per square meter per second. Assume that one photoelectron is emitted for every l06 incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2 eV. |
A) 1000 V/m done clear
B) 2000 V/m done clear
C) 1500 V/m done clear
D) 2500 V/m done clear
View Answer play_arrowDIRECTIONS: Read the following passage and answer the questions that follows: |
Two metallic plates A and B, each of area \[5\times {{10}^{-4}}{{m}^{2}},\] are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of \[33.7\times {{10}^{-12}}C.\]A mono-chromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at \[t=0\]so that \[{{10}^{6}}\]photons fall on it per square meter per second. Assume that one photoelectron is emitted for every l06 incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2 eV. |
A) 3 eV done clear
B) 20 eV done clear
C) 23 eV done clear
D) 17 eV done clear
View Answer play_arrowA) \[{{\left( \frac{{{K}_{1}}+{{K}_{2}}}{m} \right)}^{\frac{1}{2}}}\] done clear
B) \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{m({{K}_{1}}+{{K}_{2}})} \right]}^{\frac{1}{2}}}\] done clear
C) \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{({{K}_{1}}-{{K}_{2}})m} \right]}^{\frac{1}{2}}}\] done clear
D) \[{{\left[ \frac{K_{1}^{2}K_{2}^{2}}{({{K}_{1}}+{{K}_{2}})m} \right]}^{\frac{1}{2}}}\] done clear
View Answer play_arrowA) \[2.4\times {{10}^{-6}}\] done clear
B) \[1.2\times {{10}^{-7}}\] done clear
C) \[3.6\times {{10}^{-8}}\] done clear
D) \[5.6\times {{10}^{-5}}\] done clear
View Answer play_arrowA) f done clear
B) \[\frac{3f}{2}\] done clear
C) 2 f done clear
D) \[\frac{f}{2}\] done clear
View Answer play_arrowDIRECTION: Each of the questions contains two statements: Statements-1 (Assertion) and Statements-2 (Reason). Choose the correct answer (Only one option is correct) from the following- |
Statement 1: An electron is passing through a field and no force acts on it. The field may be magnetic. |
Statement 2: On a charged particle, magnetic force is zero if velocity is parallel to magnetic field. |
A) Statements-1 is false, Statements-2 is true. done clear
B) Statements-1 is true, Statements-2 is true; Statements-2 is a correct explanation for Statements-1. done clear
C) Statements-1 is true, Statements-2 is true; Statements-2 is not a correct explanation for Statements-1. done clear
D) Statements-1 is true, Statements-2 is false. done clear
View Answer play_arrowDIRECTION: Each of the questions contains two statements: Statements-1 (Assertion) and Statements-2 (Reason). Choose the correct answer (Only one option is correct) from the following- |
Statement-1: In simple harmonic motion, the velocity is maximum when the acceleration is minimum. |
Statement-2: Displacement and velocity of SHM differ in phase by \[\frac{\pi }{2}.\] |
A) Statements-1 is false, Statements-2 is true. done clear
B) Statements-1 is true, Statements-2 is true; Statements-2 is a correct explanation for Statements-1. done clear
C) Statements-1 is true, Statements-2 is true; Statements-2 is not a correct explanation for Statements-1. done clear
D) Statements-1 is true, Statements-2 is false. done clear
View Answer play_arrowDIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following - |
Suppose\[f(x)=\frac{{{x}^{2}}}{2}+\ell n\,\,x+2\cos x\] |
Statement-1: f is an increasing function. |
Statement-2: Derivative off(x) with respect to x is always greater than zero. |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowDIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following - |
Statement-1: Degree of the differential equation \[y=x\times \frac{dy}{dx}+\sqrt{1+{{\left( \frac{dt}{dx} \right)}^{2}}}\]is 2. |
Statement-2: In the given equation the power of highest order derivative when expressed as a polynomials in derivatives is 2. |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowDIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following - |
Statement-1: Integral part of\[{{\left( \sqrt{3}+1 \right)}^{2n+1}}\] is even where \[n\in I.\] |
Statement-2: Integral part of any integral power of the expression of the form of \[p+\sqrt{q}\]is even. |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowDIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following - |
Statement-1: Through \[(1,\lambda +1),\]there cannot be more than one-normal to the parabola \[{{y}^{2}}=4x\]if \[\lambda <2.\] |
Statement-2: The point \[(1,\lambda +1),\]lies out side the parabola for all \[\lambda \ne 1.\] |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowDIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following - |
Statement-1: Out of 5 tickets consecutively numbered, three are drawn at random, the chance that the numbers on them are in A.P. is\[\frac{2}{15}\] |
Statement-2: Out of\[(2n+1)\]tickets consecutively numbered, three are drawn at random, the chance that the numbers on them are in A.P. is\[\frac{3n}{4{{n}^{2}}-1}\] |
A) Statement-1 is false, Statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowA) \[5+\sqrt{2}+\sqrt{3}\] done clear
B) \[-5+\sqrt{2}-\sqrt{3}\] done clear
C) \[5-\sqrt{2}-\sqrt{3}\] done clear
D) \[-4+\sqrt{3}-\sqrt{2}\] done clear
View Answer play_arrowA) \[\left( \frac{a}{c} \right)\sigma \] done clear
B) \[\left| \frac{a}{c} \right|\sigma \] done clear
C) \[\left( \frac{{{a}^{2}}}{{{c}^{2}}} \right)\sigma \] done clear
D) None of these done clear
View Answer play_arrowA) \[a=3,\,\,b=12\] done clear
B) \[a=12,\,b=3\] done clear
C) \[a=2,\,b=32\] done clear
D) \[a=4,\,\,b=16\] done clear
View Answer play_arrowA) If R and S are transitive, then R \[\cup \] S is transitive. done clear
B) If R and S are transitive, then R \[\cap \] S is transitive. done clear
C) If R and S are symmetric, then R \[\cup \] S is symmetric. done clear
D) If R and S are reflexive. Then R \[\cap \] S is reflexive. done clear
View Answer play_arrowquestion_answer70) If \[\int{\log \,\,2x}\]is
A) \[x\log 2x-\frac{{{x}^{2}}}{2}\] done clear
B) \[x\log 2x-\frac{x}{2}\] done clear
C) \[{{x}^{2}}\log 2x-\frac{x}{2}\] done clear
D) \[x\log 2x-x+c\] done clear
View Answer play_arrowquestion_answer71) Area between curves\[y={{x}^{2}},\,\,x={{y}^{2}}\]is
A) \[\frac{1}{9}\] done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{1}{\sqrt{3}}\] done clear
D) \[\frac{2}{3}\] done clear
View Answer play_arrowA) \[\frac{5}{8}\] done clear
B) \[\frac{37}{64}\] done clear
C) \[\frac{3}{4}\] done clear
D) 1 done clear
View Answer play_arrowA) 10 done clear
B) 15 done clear
C) 16 done clear
D) None done clear
View Answer play_arrowA) increasing from -1 to 1 done clear
B) decreasing from -1 to 0 done clear
C) decreasing from 0 to 1 done clear
D) None of these done clear
View Answer play_arrowquestion_answer75) \[\frac{dy}{dx}+y=2{{e}^{2x}}\]then y is
A) \[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}\] done clear
B) \[(1+x){{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\] done clear
C) \[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\] done clear
D) \[{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\] done clear
View Answer play_arrowA) 0, 2a done clear
B) a, 2a done clear
C) 0, 3a done clear
D) None of these done clear
View Answer play_arrowA) \[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\] done clear
B) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\] done clear
C) \[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\] done clear
D) \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] done clear
View Answer play_arrowA) (sum of digits of n is divisible by 9)\[\Rightarrow \](n is divisible by 9) done clear
B) (sum of digits of n is not divisible by 9)\[\Rightarrow \](n is not divisible by 9) done clear
C) (sum of digits of n is divisible by 9)\[\Rightarrow \](n is divisible by 9) done clear
D) none of these done clear
View Answer play_arrowA) \[{{\left( \frac{9}{16} \right)}^{6}}\] done clear
B) \[{{\left( \frac{8}{15} \right)}^{7}}\] done clear
C) \[{{\left( \frac{3}{5} \right)}^{7}}\] done clear
D) none of these done clear
View Answer play_arrowquestion_answer80) If \[a\le 0\]then roots of \[{{x}^{2}}-2a\left| x-a \right|-3{{a}^{2}}=0\]is
A) \[(-1+\sqrt{6})a\] done clear
B) \[(\sqrt{6}-1)a\] done clear
C) a done clear
D) None of these done clear
View Answer play_arrowquestion_answer81) If X and Y are two sets, then \[X\cap {{(X\cup Y)}^{c}}\]equals.
A) X done clear
B) Y done clear
C) \[\phi \] done clear
D) None of these. done clear
View Answer play_arrowquestion_answer82) If \[y={{\log }_{2}}\{{{\log }_{2}}(x)\},\]then\[\frac{dy}{dx}\]is
A) \[\frac{{{\log }_{2}}e}{x\,lnx}\] done clear
B) \[\frac{2.3026}{x\ln \,\,xln\,2}\] done clear
C) \[\frac{1}{ln{{(2x)}^{x}}}\] done clear
D) None of these done clear
View Answer play_arrowA) 3 done clear
B) 0 done clear
C) -3 done clear
D) -1 done clear
View Answer play_arrowquestion_answer84) \[f(x)\sin \left| x \right|.f(x)\]is not differentiable at
A) \[x=0\]only done clear
B) all x done clear
C) multiples of \[\pi \] done clear
D) multiples of\[\frac{\pi }{2}\] done clear
View Answer play_arrowquestion_answer85) \[\int\limits_{0}^{\pi /3}{\frac{\cos x+\sin x}{\sqrt{1+\sin 2x}}}dx\] is
A) \[\frac{4\pi }{3}\] done clear
B) \[\frac{2\pi }{3}\] done clear
C) \[\pi \] done clear
D) \[\frac{\pi }{3}\] done clear
View Answer play_arrowA) \[{{\tan }^{-1}}\left( \frac{12}{5} \right)\] done clear
B) \[{{\tan }^{-1}}\left( 6\sqrt{5} \right)\] done clear
C) \[{{\tan }^{-1}}\left( \frac{12}{\sqrt{5}} \right)\] done clear
D) \[{{\tan }^{-1}}\left( 12\sqrt{5} \right)\] done clear
View Answer play_arrowA) \[{{x}^{2}}-x-1=0\] done clear
B) \[{{x}^{2}}-x+1=0\] done clear
C) \[{{x}^{2}}+x-1=0\] done clear
D) \[{{x}^{2}}+x+1=0\] done clear
View Answer play_arrowquestion_answer88) The x satisfying\[{{\sin }^{-1}}x+{{\sin }^{-1}}(1-x)={{\cos }^{-1}}x\]are
A) 1, 0 done clear
B) 1,-1 done clear
C) \[0,\frac{1}{2}\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer89) The S.D. of the following data is nearly
\[{{x}_{i}}\] | 140 | 145 | 150 | 155 | 160 | 165 | 170 | 175 |
\[{{f}_{i}}\] | 4 | 6 | 15 | 30 | 36 | 24 | 8 | 2 |
A) 8.64 done clear
B) 7.26 done clear
C) 7.05 done clear
D) None done clear
View Answer play_arrowA) \[\frac{1}{3}\] done clear
B) \[\frac{2}{3}\] done clear
C) 1 done clear
D) \[\frac{4}{3}\] done clear
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