# Solved papers for BCECE Engineering BCECE Engineering Solved Paper-2002

### done BCECE Engineering Solved Paper-2002

• question_answer1) A body is vibrating in simple harmonic motion with amplitude of 0.06 m and frequency of 15 Hz. The maximum velocity and acceleration of the body is:

A) 9.80 m/s and $9.03\,\times {{10}^{2}}\,m/{{s}^{2}}$

B) 8.90 m/s and $8.21\times {{10}^{2}}\,m/{{s}^{2}}$

C) 6.82 m/s and $7.62\times {{10}^{2}}\,m/{{s}^{2}}$

D) 5.65 m/s and $5.32\,\times {{10}^{2}}\,m/{{s}^{2}}$

• question_answer2) A motor cycle is travelling on a curved track of radius 500 m. If the coefficient of friction between tyres and road is 0.5 with $g=10\,m/{{s}^{2}},$ what should be the maximum speed to avoid skidding?

A) 10 m/s

B) 50 m/s

C) 250 m/s

D) 500m/s

• question_answer3) If the equation of motion of standing wave is $y=0.3\sin$ $(314t-1.57x),$the velocity of standing wave is :

A) 400 unit

B) 250 unit

C) 200 unit

D) 150 unit

• question_answer4) On producing the waves of frequency 1000 Hz in a Kundts tube, the total distance between 6 L successive nodes is 85 cm. Speed of sound in the gas filled in the tube is:

A) 300 m/s

B) 350 m/s

C) 340 m/s

D) 330 m/s

• question_answer5) A spring is vibrating with frequency under same mass. If it is cut into two equal pieces and same mass is suspended, then the new frequency will be:

A) $n\sqrt{2}$

B) $\frac{n}{\sqrt{2}}$

C) $\frac{n}{2}$

D) n

A) strongly repelled by magnets

B) feebly repelled by magnets

C) feebly attracted by magnets

D) strongly attracted by magnets

• question_answer7) The study of the effects associated with electric field at rest is known as:

A) electrostatics

B) electromagnetism

C) magnetostatics

D) none of these

• question_answer8) For driving current of 2 A for 6 min in a circuit, 1000 J of work is to be done. The emf of the source in the circuit is:

A) 1.38V

B) 1.68V

C) 2.03V

D) 3.10V

• question_answer9) A current carrying wire in the neighborhood produces:

A) electric and magnetic fields

B) magnetic field only

C) no field

D) electric field

• question_answer10) A resonance air column of length 20 cm resonates with a tuning fork of frequency 250 Hz. The speed of the air is:

A) 75 m/s

B) 150 m/s

C) 200 m/s

D) 300 m/s

• question_answer11) An iron rod of length 2 m and cross-sectional area of $50\,m{{m}^{2}}$ is stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Youngs modulus of iron rod is:

A) $19.6\,\times {{10}^{20}}\,N/{{m}^{2}}$

B) $19.6\,\times {{10}^{18}}\,N/{{m}^{2}}$

C) $19.6\,\times {{10}^{10}}\,N/{{m}^{2}}$

D) $19.6\,\times {{10}^{15}}\,N/{{m}^{2}}$

• question_answer12) Frequency of infrared wave is approximately:

A) ${{10}^{18}}Hz$

B) ${{10}^{14}}Hz$

C) ${{10}^{9}}Hz$

D) ${{10}^{16}}Hz$

• question_answer13) A wire has resistance of 3.1$\Omega$ at $30{}^\circ C$ and resistance 4.5$\Omega$ at 100?C. The temperature coefficient of resistance of the wire is :

A) ${{0.0012}^{0}}{{C}^{-1}}$

B) ${{0.0024}^{0}}{{C}^{-1}}$

C) ${{0.0032}^{0}}{{C}^{-1}}$

D) ${{0.0064}^{0}}{{C}^{-1}}$

• question_answer14) If the current through 3$\Omega$ resistor is 0.8 A, then potential drop through 4 $\Omega$ resistor is:

A) $\text{1}\text{.2V}$

B) $\text{2}\text{.6V}$

C) $\text{4}\text{.8V}$

D) $\text{9}\text{.6V}$

• question_answer15) The direction of the null points on the equatorial line of a bar magnet, when the north pole of the magnet is pointing to:

A) west

B) east

C) south

D) north

• question_answer16) Two batteries of emf 4 V and 8 V having the internal resistance of $1\,\Omega$ and $2\,\Omega$ respectively are connected in circuit with a resistance of $9\,\Omega$ as shown in a figure. The current and potential difference between the points P and Q are:

A) $\frac{\text{1}}{\text{12}}\text{A}\,\,\text{and}\,\text{12}\,\text{V}$

B) $\frac{\text{1}}{9}\text{A}\,\,\text{and}\,9\,\text{V}$

C) $\frac{\text{1}}{6}\text{A}\,\,\text{and}\,4\,\text{V}$

D) $\frac{\text{1}}{3}\text{A}\,\,\text{and}\,3\,\text{V}$

• question_answer17) The dimensions of gravitational constant G are:

A) $\text{ }\!\![\!\!\text{ M}{{\text{L}}^{\text{3}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }$

B) $\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{2}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }$

C) $\text{ }\!\![\!\!\text{ M}{{\text{L}}^{-2}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }$

D) $\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{3}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }$

• question_answer18) A 30 g bullet initially travelling at 120 m/s penetrates 12 cm into wooden block. The average resistance exerted by the wooden block is:

A) 1800 N

B) 2000 N

C) 2200 N

D) 2850 N

• question_answer19) Angle of dip is 90? at:

A) equator

B) middle point

C) poles

D) none of these

• question_answer20) Two magnets each of magnetic moment M are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be:

A) M

B) 0.5 M

C) $\sqrt{2}$M

D) 2M

• question_answer21) Plate current will be maximum when:

A) both the grid and anode are negative

B) both the grid and anode are positive

C) grid is positive and anode is negative

D) grid is negative and anode is positive

• question_answer22) Sodium has body centered packing. Distance between two nearest atoms is $3.7\,\overset{\text{o}}{\mathop{\text{A}}}\,$. The lattice parameter is:

A) $4.9\,\overset{\text{o}}{\mathop{\text{A}}}\,$

B) $4.3\,\overset{\text{o}}{\mathop{\text{A}}}\,$

C) $3.8\,\overset{\text{o}}{\mathop{\text{A}}}\,$

D) $3.4\,\overset{\text{o}}{\mathop{\text{A}}}\,$

• question_answer23) The instrument used to measure the temperature of the source from its thermal radiation is :

A) hydrometer

B) barometer

C) thermopile

D) pyrometer

• question_answer24) Which of the following are not the transvene waves?

A) Sound waves

B) Visible light waves

C) X-rays

D) $\gamma$-rays

• question_answer25) The displacement x of a particle moving along a straight line at time t is given by $x={{a}_{0}}+{{a}_{1}}t+{{a}_{2}}{{t}^{2}}$ The acceleration of the particle is:

A) $4{{a}_{2}}$

B) $2{{a}_{2}}$

C) $2{{a}_{1}}$

D) ${{a}_{2}}$

• question_answer26) A bomb is dropped from an aeroplane moving horizontally at constant speed. If air resistance is taken into consideration, then the bomb:

A) falls on earth exactly below the aeroplane

B) falls on the earth exactly behind the aeroplane

C) falls on the earth ahead of the aeroplane

D) flies with the aeroplane

• question_answer27) In a p -type semiconductor germanium is doped with:

A) aluminium

B) boron

C) gallium

D) all of these

• question_answer28) Boolean algebra is essentially based on:

A) numbers

B) symbol

C) logic

D) truth

• question_answer29) When a bus suddenly takes a turn, the passengers are thrown outwards because of:

A) speed of motion

B) inertia of motion

C) acceleration of motion

D) none of the above

• question_answer30) The logic behind NOR gate is that which gives:

A) high output when both inputs are high

B) low output when both inputs are low

C) high output when both inputs are low

D) none of the above

• question_answer31) How can the chromatic aberration be corrected?

A) By providing different suitable curvature to its two surfaces

B) By combining it with another lens of opposite nature

C) By reducing its aperture

D) By providing proper polishing of its two surfaces

• question_answer32) Which one of the following is not dependent on the intensity of incident photon in a photoelectric experiment?

A) Work function of the surface

B) Number of photoelectrons

C) Stopping potential

D) Amount of photoelectric current

• question_answer33) If red light and violet light rays are of focal lengths ${{f}_{R}}$ and ${{f}_{V,}}$ then which one of the following is true ?

A) ${{\lambda }_{R}}\le {{\lambda }_{V}}$

B) ${{\mu }_{R}}>{{\mu }_{V}}$

C) ${{\lambda }_{R}}={{\lambda }_{V}}$

D) ${{\mu }_{R}}<{{\mu }_{V}}$

• question_answer34) The large scale destruction, that would be caused due to the use of nuclear weapons is known as:

A) neutron reproduction factor

B) nuclear holocaust

C) thermonuclear reaction

D) none of the above

• question_answer35) If in Ramsdens eyepiece, the field lenses have focal lengths ${{f}_{1}}$ and ${{f}_{2}}$ respectively and separated by a distance d then :

A) ${{f}_{1}}=3{{f}_{2}}and\,d={{f}_{1}}+{{f}_{2}}$

B) ${{f}_{1}}={{f}_{2}}and\,d=\frac{2}{3}{{f}_{1}}$

C) ${{f}_{1}}=\frac{2}{3}{{f}_{2}}and\,d=\frac{2}{3}{{f}_{1}}$

D) ${{f}_{1}}={{f}_{2}}and\,d={{f}_{1}}+{{f}_{2}}$

• question_answer36) Huygens wave theory of light could not explain:

A) photoelectric effect

B) polarization

C) diffraction

D) interference

• question_answer37) The rain drops are spherical in shape due to:

A) residual pressure

B) thrust on drop

C) surface tension

D) viscosity

• question_answer38) The work done in pulling up a block of wood weighing 2 kN for a length of 10 m on a smooth plane inclined at an angle of 15? with the horizontal is:

A) 9.82 kJ

B) 8.91 kJ

C) 5.17 kJ

D) 4.36 kJ

A) positrons

B) photons

C) electrons

D) protons

• question_answer40) The internal resistance of cell of emf 2 V is$0.1\,\Omega .$ It is connected to a resistance of 3.9 $\Omega .$ The voltage across the cell is:

A) 2.71 V

B) 1.95 V

C) 1.68 V

D) 0.52 V

• question_answer41) The earth of mass $6\times {{10}^{24}}$ kg revolves around the sun with an angular velocity of $2\times {{10}^{-7}}rad/s$. In a circular orbit of radius $1.5\times {{10}^{8}}\,km,$ the force exerted by the sun, on the earth is:

A) $\text{27 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{39}}}\text{N}$

B) $\text{36 }\!\!\times\!\!\text{ 1}{{\text{0}}^{21}}\text{N}$

C) $\text{18 }\!\!\times\!\!\text{ 1}{{\text{0}}^{25}}\text{N}$

D) $\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{19}}\text{N}$

• question_answer42) A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It falls down in water after 2 s. The height of the bridge is:

A) 24.7 m

B) 19.8 m

C) 9.8 m

D) 4.9 m

• question_answer43) A ball of mass 150g moving with an acceleration $20\,m/{{s}^{2}}$ is hit by a force, which acts, on it for 0.1 s. The impulsive force is:

A) 1.2N-s

B) 0.3 N-s

C) 0.1 N-s

D) 0.5 N-s

• question_answer44) If the heat of 110 J is added to a gaseous system, whose internal energy is 40 J, then the amount of external work done is:

A) 80 J

B) 70 J

C) 115 J

D) 140 J

• question_answer45) The substance in which the magnetic moment of a single atom is not zero, is called as:

A) ferrimagnetism

B) paramagnerism

C) ferromagnetism

D) diamagnetism

• question_answer46) The luminous efficiency of a lamp is 4 lumen/W and its luminous intensity is 30 Cd The power of lamp is:

A) 60 W

B) 78 W

C) 94 W

D) 136 W

• question_answer47) The transfer ratio  of a transistor is 50. The input resistance of the transistor when used in the common-emitter configuration is 1 $\Omega$. The peak value of the collector AC current for an AC input voltage of 0.01 V, is:

A) 500 $\text{A}$

B) 0.25$\text{A}$

C) 0.01 $\text{A}$

D) 100 $\text{A}$

• question_answer48) Two vectors $\mathbf{\vec{A}}$ and $\mathbf{\vec{B}}$ are such that$\mathbf{\vec{A}}\,\mathbf{\vec{B}}=\mathbf{\vec{C}}$ and ${{A}^{2}}+{{B}^{2}}={{C}^{2}}.$ If $\theta$ is the angle between $\mathbf{\vec{A}}$ and $\,\mathbf{\vec{B}}$ then correct statement is:

A) $\theta =\pi$

B) $\theta =\frac{2\pi }{3}$

C) $\theta =0$

D) $\theta =\frac{\pi }{2}$

• question_answer49) A rough vertical board has an acceleration $a$ along the horizontal, so that a block of mass M pressing against it does not fall. The coefficient of friction between block and the board is:

A) $>\frac{a}{g}$

B) $<\frac{g}{a}$

C) $=\frac{a}{g}$

D) $>\frac{g}{a}$

• question_answer50) An aeroplane is moving with a horizontal velocity u at a height h. The velocity of packet dropped from it on the earths surface will be:

A) $\sqrt{{{u}^{2}}-2gh}$

B) $2gh$

C) $\sqrt{2gh}$

D) $\sqrt{{{u}^{2}}+2gh}$

• question_answer51) Which of the following having highest number of molecules?

A) $16g\,{{O}_{2}}$

B) $14\,g\,{{N}_{2}}$

C) $2g\,{{H}_{2}}$

D) $6\,g\,{{I}_{2}}$

• question_answer52) The size of isoelectronic ions depends on:

A) ionization energy

B) nuclear charge

• question_answer53) At constant temperature the pressure of a gas is increased to three times, then its volume becomes:

A) $\frac{V}{3}$

B) $\frac{2}{3}V$

C) $3\,V$

D) none of these

• question_answer54) Find the temperature of hydrogen gas which has the same velocity as that of oxygen at a temperature of $0{{\,}^{o}}C:$

A) $273\div 16\text{ }K$

B) $~273\times 8\,K$

C) $273\div 32K$

D) $273\times 4\,K$

• question_answer55) What is the bond order in case of$O_{2}^{+}$?

A) 2.5

B) 2

C) 1.5

D) 3

A) $Pd$ supported over $\text{BaC}{{\text{O}}_{\text{3}}}$

B) Hg supported over $PbS{{O}_{4}}$

C) Ni supported over$~CuS{{O}_{4}}$

D) Ni supported over $CdS{{O}_{4}}$

• question_answer57) In$s{{p}^{3}}d$-hybridisation, the $d-$orbital that participate in hybridisation is:

A) $dxy$

B) $dxz$

C) $d{{x}^{2}}-{{y}^{2}}$

D) $d{{z}^{2}}$

• question_answer58) Which of the following is correct in the reaction? ${{H}_{2}}(g)+{{I}_{2}}(g)\xrightarrow{{}}2HI(g)$

A) ${{K}_{p}}={{K}_{c}}$

B) ${{K}_{p}}>{{K}_{c}}$

C) ${{K}_{p}}<{{K}_{c}}$

D) None of these

• question_answer59) A $CaC{{O}_{3}}$sample contains $3.01\times {{10}^{23}}$ ions of $\overset{2+}{\mathop{Ca}}\,$and $C{{O}_{3}}^{2-}.$The mass of sample is:

A) 40

B) 50

C) 60

D) 70

• question_answer60) The increasing order for the value of charge/mass for electron (e), proton (p), neutron (n) and alpha particle $(\alpha )$ is:

A) $e<p<n<a$

B) $~n<p<e<\alpha$

C) $n<p<\alpha <e$

D) $n<\alpha <p<e$

• question_answer61) The bond order of ${{O}_{2}}^{-}$is:

A) 1

B) zero

C) 1.5

D) 2

• question_answer62) d and $l$tartaric adds are:

A) enantiomers

B) tautomers

C) mesomers

D) diastereomers

• question_answer63) In the reaction, $2C(s)+{{O}_{2}}(g)2CO\,(g)$ the partial pressure of CO and ${{O}_{2}}$is 8 atm and 4 atm respectively, then find its equilibrium constant:

A) 16

B) 24

C) 8

D) 2

• question_answer64) Which is the correct electronic configuration of Cr (chromium)?

A) $1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{1}}\text{ }3{{d}^{5}}$

B) $1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{4}}$

C) $1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{6}}$

D) $1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{1}}\text{ }3{{d}^{8}}$

• question_answer65) If heat of neutralization of $\text{C}{{\text{H}}_{\text{3}}}\text{COOH}$and $NaOH$ is $-\,50.6\text{ kJ}$equivalent and the heat of neutralization of $\text{N}{{\text{H}}_{\text{4}}}\text{OH}$and $\text{HCl}$is $-51.4\text{ kJ}$equivalent then the heat of neutralization of $\text{C}{{\text{H}}_{\text{3}}}\text{COOH}$and $\text{N}{{\text{H}}_{\text{4}}}\text{OH}$is:

A) $\text{ }\!\!~\!\!\text{ 102}\,\text{k J}$

B) $-0.8\text{ kJ}$

C) $0.8\text{ kJ}$

D) none of these

• question_answer66) At $25{{\,}^{o}}C\,{{K}_{a}}$for$~C{{H}_{3}}COOH$ is$~1.8\times {{10}^{-5}}$and ${{K}_{b}}$for $\text{N}{{\text{H}}_{\text{4}}}\text{OH}$is also $\text{1}\text{.8}\times {{10}^{-5}}.$The nature of aqueous solution of $\text{C}{{\text{H}}_{\text{3}}}\text{COON}{{\text{H}}_{\text{4}}}$is:

A) neutral

B) basic

C) acidic

D) amphoteric

• question_answer67) On bombarding ${{\,}_{7}}{{N}^{14}}$ with $\alpha -$particles, the nuclei of the product formed after the release of a proton is:

A) ${{\,}_{8}}{{O}^{17}}$

B) ${{\,}_{8}}{{O}^{18}}$

C) ${{\,}_{9}}{{F}^{7}}$

D) ${{\,}_{9}}{{F}^{18}}$

• question_answer68) Coordination number and oxidation number of Cr in ${{K}_{3}}Cr{{({{C}_{2}}{{O}_{4}})}_{3}}$are respectively:

A) 6 and $+\,3$

B) 4 and$-\,2$

C) 3 and 0

D) 3 and$+\,3$

• question_answer69) Thermite is a mixture of:

A) $MgO+Al$

B) $F{{e}_{3}}{{O}_{4}}+Al$

C) $Zn+CaC{{O}_{3}}$

D) $Zn+{{P}_{2}}{{O}_{5}}$

• question_answer70) Geometrical isomerism is shown by:

A)

B)

C)

D)

• question_answer71) The oxidation state of sulphur in ${{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\text{:}$

A) $+\,6$

B) $~+\,4$

C) $~+\,2$

D) $+\,3$

• question_answer72) For detection of sulphur in an organic compound, sodium nitroprusside is added to the Lassaignes filtrate the ppt. obtained is:

A) purple colour

B) black colour

C) blood-red colour

D) white colour

• question_answer73) Which of the following is correct for ${{\,}^{60}}Co\xrightarrow{-{{\beta }^{-}}}?$

A) ${{\,}^{61}}Co$

B) ${{\,}^{60}}Ni$

C) ${{\,}^{59}}Ni$

D) ${{\,}^{60}}Cu$

• question_answer74) Which of the following is not linear?

A) $BeC{{l}_{2}}$

B) HCN

C) $~ZnC{{l}_{2}}$

D) ${{H}_{2}}O$

• question_answer75) Which of the following compound is optically active?

A) $C{{H}_{3}}C{{H}_{2}}COOH$

B) $C{{H}_{3}}CHOHCOOH$

C) $HOOC.C{{H}_{2}}.COOH$

D) $C{{H}_{3}}.CO.COOH$

• question_answer76) The boiling point of phenols are higher than the hydrocarbons of comparable masses due to:

A) more polarizing power

B) presence of hydrogen bonding

C) resonance stabilization

D) acidic character

• question_answer77) The product obtained is:

A) benzoic acid

B) benzaldehyde

C) salicylaldehyde

D) salicylic acid

• question_answer78) The reduction of aldehyde and .ketones to the corresponding hydrocarbons with amalgamated zinc and concentrated$\text{HCl}$ is called:

A) Wolff-Kishner reduction

B) Clemmensen reduction

C) Coupling reduction

D) Cross- Cannizaro reaction

• question_answer79) The enthalpy and entropy change for a reaction is $-2.\text{ }5\times {{10}^{3}}\,\text{cal}$ cat and $7.4\text{ cal de}{{\text{g}}^{-1}}$respectively. At 298 K the reaction is:

A) reversible

B) irreversible

C) spontaneous

D) non-spontaneous

• question_answer80) The energy of an electron in the first Bohr orbit is $-\text{13}\text{.6 eV,}$ then find the energy of $\text{H}{{\text{e}}^{\text{+}}}$in the same Bohr orbit:

A) $27.2\,eV$

B) $-27.2\,\,eV$

C) $54.4\,eV$

D) $54.4\,eV$

• question_answer81) Aldehydes and ketones can be distinguished by:

A) Tollens reagent

B) 2, 4 DNP test

C) Molisch test

D) Mullikans test

• question_answer82) The electrical conductance is shown by:

A) sodium

B) diamond

C) graphite

D) potassium

• question_answer83) The largest number of molecules are present in:

A) $5g\,N{{H}_{3}}$

B) $11\,g\,C{{O}_{2}}$

C) $8\,gS{{O}_{2}}$

D) $~4\,g\,{{H}_{2}}$

• question_answer84) The splitting of spectral lines under the influence of magnetic field is known as:

A) Zeeman effect

B) photoelectric effect

C) Stark effect

D) electromagnetic effect

• question_answer85) Write the product: $\underset{C{{H}_{2}}OH}{\mathop{\underset{|}{\mathop{C{{H}_{2}}OH}}\,}}\,\xrightarrow{HI{{O}_{4}}}$

A) formaldehyde

B) acetaldehyde

C) formic acid

D) acetic acid

• question_answer86) lonization energy of hydrogen is:

A) slightly higher than chlorine

B) much higher than chlorine

C) lesser than chlorine

D) equal to chlorine

• question_answer87) In LPG gas the main constituent of the gas is:

A) ethane

B) methane

C) butane

D) propane

• question_answer88) Which plays a major role in the formation of complex compound?

A) Transition metal

B) Lanthanides and actinides

C) Representative elements

D) p-block element

• question_answer89) The conjugate base of ${{\text{H}}_{\text{2}}}\text{PO}_{4}^{-}$is:

A) ${{H}_{3}}P{{O}_{4}}$

B) $HP{{O}_{4}}^{2-}$

C) $P{{O}_{4}}^{3-}$

D) ${{H}_{2}}PO{{ }_{3}}^{-}$

• question_answer90) The product obtained from:

A)

B)

C)

D) none of these

• question_answer91) Benzaldehyde on treatment with ethanolic KCN produce:

A) ${{C}_{6}}{{H}_{5}}COCO{{C}_{6}}{{H}_{5}}$

B) ${{C}_{6}}{{H}_{5}}CHOHCN$

C) ${{C}_{6}}{{H}_{5}}CHOHCOOH$

D) ${{C}_{6}}{{H}_{5}}CHOHCO{{C}_{6}}{{H}_{5}}$

• question_answer92) When aniline is warm with $\text{CHC}{{\text{l}}_{\text{3}}}$and alc. KOH, it forms a compound which having offensive smell, the compound formed is:

A)

B)

C)

D)

• question_answer93) The formation of large number of compounds of carbon is due to its:

A) non-metallic nature

B) catenation character

C) high ionization potential

D) four valency

A) monobasic

B) dibasic

C) tribasic

D) tetrabasic

• question_answer95) The volume strength of $\text{1}\text{.5}\,\text{(N)}\,{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}$solution is:

A) 4.8

B) 8.4

C) 3

D) 8

• question_answer96) A gas has a vapour density 11.2. The volume occupied by 1 g of gas at NTP is:

A) 1 L

B) 11.2 L

C) 22.4 L

D) unpredictable

• question_answer97) What is the rate of a reaction in a first order reaction, if its half life period is 693 s and its concentration is$\text{2 mol/L}$?

A) 100

B) 0.002

C) 0.02

D) 200

• question_answer98) Write the product formed in the reaction:

A)

B)

C)

D)

B) uranium

C) polonium

D) thorium

• question_answer100) A compound contains 38.8% C, 16% H and 45.2% N. The empirical formula of the compound will be:

A) $C{{H}_{5}}N$

B) ${{C}_{2}}{{H}_{5}}N$

C) $CHN$

D) $C{{H}_{10}}{{N}_{2}}$

• question_answer101) The minimum value of n for${{\left( \frac{1+i}{1-i} \right)}^{n}}=1,$ where $i=\sqrt{-1}$ is:

A) 2

B) 4

C) 6

D) 3

• question_answer102) Find the value of $\sqrt{6+\sqrt{6}+\sqrt{6...\infty }}:$

A) 2

B) 3

C) $-\,4$

D) 6

• question_answer103) If $\arg \,\left( \frac{z-1}{z+1} \right)=\frac{\pi }{3},$then given locus represent a:

A) straight line

B) circle

C) parabola

D) ellipse

• question_answer104) If ${{z}_{k}}=\cos \frac{\theta }{{{2}^{k}}}+i\sin \frac{\theta }{{{2}^{k}}}$where$k=1,2,3,....,$and $\theta =2n\pi ,n\in \operatorname{I},$then ${{z}_{1}},{{z}_{2}},{{z}_{3}},....\infty$is equal to

A) 0

B) 1

C) $-1$

D) $i$

• question_answer105) ${{(sin\theta +cos\theta )}^{4}}$is equal to:

A) $\sin 4\,\theta +i\cos 4\,\theta$

B) $\sin 4\,\theta -i\sin 2\theta$

C) 0

D) none of these

• question_answer106) The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 m from its base is $\text{4}{{\text{5}}^{\text{o}}}\text{.}$ If the angle of elevation of the top of the complete pillar at the same point is to be 60?, then the height of the incomplete pillar is to be increased by:

A) $\text{50}\sqrt{3}\,m$

B) $100\,m$

C) $100(\sqrt{3}-1)\,m$

D) $100(\sqrt{3}+1)\,m$

• question_answer107) If ${{x}^{2}}+{{y}^{2}}=25,xy=12,$then $x$is equal to:

A) $3,4$

B) $3,-3$

C) $3,4,-3,-4$

D) $~-3,-3$

• question_answer108) If $b+c,c+a,a+b$are in HP, then ${{a}^{2}},{{b}^{2}},{{c}^{2}}$are in:

A) AP

B) HP

C) GP

D) none of these

• question_answer109) Series$\frac{1}{1!(n-1)}+\frac{1}{3!(n-3)!}+\frac{1}{5!(n-5)!}+...$is equal to:

A) $\frac{{{2}^{n}}}{n!}$

B) $\frac{{{2}^{n-1}}}{n!}$

C) 0

D) none of these

• question_answer110) The number of terms in the expansion of ${{(a+b+c)}^{n}}$will be:

A) $n+1$

B) $n+3$

C) $\frac{(n+1)\,(n+2)}{2}$

D) none of these

• question_answer111) If the equation ${{x}^{2}}-4x+2(m+1)=0$has real roots, then the value of $m$ lies in the interval:

A) $-2\le m\le 1$

B) $-1\le m\le 1$

C) $2<m<3$

D) none of these

• question_answer112) If ${{x}^{2}}+ax+\beta =0$and ${{x}^{2}}+px+q=0$ has a common roof, then the common root is:

A) $\frac{q+\beta }{a+p}$

B) $\frac{q-\beta }{a+p}$

C) $\frac{q-\beta }{a-p}$

D) none of these

• question_answer113) Equation of the pair of tangents drawn from the origin to the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ is:

A) $gx+fy=c({{x}^{2}}+{{y}^{2}})$

B) ${{(gx+fy)}^{2}}={{x}^{2}}+{{y}^{2}}$

C) ${{(gx+fy)}^{2}}={{c}^{2}}({{x}^{2}}+{{y}^{2}})$

D) ${{(gx+fy)}^{2}}=c({{x}^{2}}+{{y}^{2}})$

• question_answer114) The length of transverse axis of the hyperbola $3{{x}^{2}}-4{{y}^{2}}=32$is:

A) $\frac{8\sqrt{2}}{\sqrt{3}}$

B) $\frac{16\sqrt{2}}{\sqrt{3}}$

C) $\frac{3}{32}$

D) $\frac{64}{3}$

• question_answer115) The value of coefficient which is independent from $x$ in${{\left( 2x-\frac{3}{{{x}^{2}}} \right)}^{6}},$is :

A) $~-\,2916$

B) 4860

C) 2160

D) none of these

• question_answer116) The coefficient of ${{x}^{4}}$ in the expansion of ${{(1+x+{{x}^{2}}+{{x}^{3}})}^{n}},$ is:

A) ${{\,}^{n}}{{C}_{4}}$

B) ${{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}$

C) ${{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}$

D) ${{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}^{n}{{C}_{1}}+{{\,}^{n}}{{C}_{2}}$

• question_answer117) In $\Delta \,ABC,\frac{\cos 2A}{{{a}^{2}}}-\frac{\cos 2B}{{{b}^{2}}}$ is equal to:

A) ${{c}^{2}}/{{a}^{2}}{{b}^{2}}$

B) $\frac{1}{{{a}^{2}}}-\frac{1}{{{b}^{2}}}$

C) $\frac{1}{ab}$

D) none of these

• question_answer118) If $A=\left[ \begin{matrix} \cos x & \sin x \\ -\sin x & \cos x \\ \end{matrix} \right],$then the inverse of A is where n = 1, 2, 3, ?:

A) $\left[ \begin{matrix} {{\cos }^{n}}x & {{\sin }^{n}}x \\ -{{\sin }^{n}}x & {{\cos }^{n}}x \\ \end{matrix} \right]$

B) $\left[ \begin{matrix} {{\cos }^{2}}nx & {{\sin }^{2}}nx \\ -{{\sin }^{2}}nx & {{\cos }^{2}}nx \\ \end{matrix} \right]$

C) $\left[ \begin{matrix} \cos nx & \sin nx \\ -\sin \,nx & \cos \,nx \\ \end{matrix} \right]$

D) $\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]$

• question_answer119) If ${{A}^{2}}-A+I=0,$then the inverse of A is:

A) ${{A}^{-1}}$

B) $A+I$

C) $I-A$

D) $A-I$

• question_answer120) Let $A=\left[ \begin{matrix} 1 & 2 \\ 0 & 1 \\ \end{matrix} \right],$ then ${{A}^{n}}$is equal to:

A) $\left[ \begin{matrix} 1 & 2n \\ 0 & 2 \\ \end{matrix} \right]$

B) $\left[ \begin{matrix} 2 & n \\ 0 & 1 \\ \end{matrix} \right]$

C) $\left[ \begin{matrix} 1 & 2n \\ 0 & 1 \\ \end{matrix} \right]$

D) $\left[ \begin{matrix} 1 & n \\ 0 & 2 \\ \end{matrix} \right]$

• question_answer121) In triangle $ABC,\angle A={{90}^{o}}$and $AB=AC$and the coordinate of B and C are (-3, 6) and (1,2) respectively, then the area of triangle is:

A) 4 sq unit

B) $4\sqrt{2}\,$sq unit

C) 8 sq unit

D) $\left( -\frac{1}{5},-\frac{22}{5} \right)$

• question_answer122) If $x+2y+1=0,$ then reflection point of $(3,2)$ is:

A) $(1,4)$

B) $(1,-\,4)$

C) $(4,1)$

D) $\left( -\frac{1}{5},-\frac{22}{5} \right)$

• question_answer123) Re ${{\left( \frac{1+i}{3-i} \right)}^{2}}$ is equal to:

A) $-1/5$

B) $~1/5$

C) $~1/10$

D) $~-1/10$

• question_answer124) Which term of the series $3+8+13+18+....$ is 498:

A) 95th

B) 100th

C) 102th

D) 101th

• question_answer125) If one root of $5{{x}^{2}}+13x+k=0$ is reciprocal of the other, then k is equal to:

A) 0

B) 5

C) 1/6

D) 6

• question_answer126) The point having position vectors $2\hat{i}+3\hat{j}+4\hat{k},3\hat{i}+4\hat{j}+2\hat{k},4\hat{i}+2\hat{j}+3\hat{k}$ are the vertices of:

A) right angled triangle

B) isosceles triangle

C) equilateral triangle

D) collinear

• question_answer127) If a polygon has 44 diagonals, then the number of its side are:

A) 7

B) 11

C) 8

D) none of these

• question_answer128) ${{\sin }^{-1}}\frac{3}{5}+{{\tan }^{-1}}\frac{1}{7}$is equal to:

A) $\pi /2$

B) ${{\cos }^{-1}}4/5$

C) $\pi$

D) $\pi /4$

• question_answer129) Let p be the proposition that mathematics is interesting and let be the proposition that mathematics is difficult, then the symbol $p\wedge q$ means:

A) mathematics is interesting, implies that mathematics is difficult

B) mathematics is interesting implies and is implied by mathematics is difficult

C) mathematics is interesting and mathematics is difficult

D) mathematics is interesting or mathematics is difficult

• question_answer130) The statement $p\vee \tilde{\ }p$is:

A) tautology

C) neither a tautology nor a contradiction

D) none of the above

• question_answer131) Which of the following function is periodic with period$\pi$?

A) $f(x)=x\cos x$

B) $f(x)=|\cos x|$

C) $f(x)=\sin x$

D) $f(x)=[x+\pi ]$ Where $[x]$ means the greater integer not greater than $x.$

• question_answer132) $\frac{{{e}^{2}}+1}{2e}$is equal to:

A) $1+\frac{1}{2!}+\frac{1}{4!}+\frac{1}{6!}+....\infty$

B) 0

C) 1

D) none of the above

• question_answer133) $\underset{x\to 0}{\mathop{\lim }}\,\frac{x{{\sin }^{-1}}}{\sin {{x}^{2}}}$is equal to:

A) 0

B) 1

C) 2

D) $\infty$

• question_answer134) If$y={{\sin }^{-1}}(\cos x),$ then $\frac{dy}{dx}$is equal to:

A) $\frac{1}{\sin x}$

B) ${{\cos }^{-1}}x$

C) $-1$

D) $\frac{1}{2}$

• question_answer135) If ${{e}^{x}}\sin \,y-{{e}^{y}}\cos x=1,$ then $\frac{dy}{dx}$is equal to:

A) $\frac{{{e}^{x}}\sin y+{{e}^{y}}\sin x}{{{e}^{y}}\cos x-{{e}^{x}}\cos y}$

B) $\frac{{{e}^{x}}\sin x+{{e}^{y}}\sin y}{{{e}^{y}}\cos x-{{e}^{x}}\cos y}$

C) $\frac{{{e}^{x}}\sin y-{{e}^{y}}\sin x}{{{e}^{y}}\cos x-{{e}^{x}}\cos y}$

D) none of the above

• question_answer136) If $y=\cos \,t$ and$x=\sin t,$, then $\frac{{{d}^{2}}y}{d{{x}^{2}}}$is equal to:

A) $\frac{y}{x}$

B) $\frac{x}{y}$

C) 0

D) none of these

• question_answer137) The tangent to the curve $y={{e}^{2x}}$at the point (0, 1) meet the axis at:

A) $(0,4)$

B) $(2,0)$

C) $(-1/2,0)$

D) none of these

• question_answer138) ${{\log }_{e}}x$is equal to:

A) $(x-1)-\frac{{{(x-1)}^{2}}}{2}+\frac{{{(x-1)}^{3}}}{3}-....\infty$

B) 0

C) 1

D) none of the above

• question_answer139) $\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(x+1)}^{2}}}dx}$is equal to:

A) $\frac{{{e}^{x}}}{x+1}+c$

B) $\frac{{{e}^{x}}}{{{(x+1)}^{2}}}+c$

C) $\frac{{{e}^{x}}}{{{(x+1)}^{3}}}+c$

D) none of these

• question_answer140) $\int_{{}}^{{}}{\frac{\tan x}{\sec x+\tan x}dx}$is equal to:

A) $x+\sec x+\tan x+c$

B) $x-\sec x+\tan x+c$

C) $x-\tan x+\sec x+c$

D) none of the above

• question_answer141) $\underset{x\to a}{\mathop{\lim }}\,\frac{\sqrt{3x-a}-\sqrt{x+a}}{x-a}$is equal to:

A) $\sqrt{2a}$

B) $\frac{1}{\sqrt{2a}}$

C) 2a

D) $\frac{1}{2a}$

• question_answer142) $\int_{0}^{1}{\frac{x}{{{(1-x)}^{3/4}}}dx}$is equal to:

A) $\frac{-12}{5}$

B) $\frac{16}{5}$

C) $\frac{-16}{5}$

D) none of these

• question_answer143) $\int_{{}}^{{}}{\frac{{{x}^{5}}}{\sqrt{1+{{x}^{3}}}}}dx$is equal to:

A) $\frac{2}{9}{{(1+{{x}^{3}})}^{3/2}}+c$

B) $\frac{2}{9}{{(1+{{x}^{3}})}^{3/2}}+\frac{2}{3}{{(11-{{x}^{3}})}^{1/2}}+c$

C) $\frac{2}{9}{{(1+{{x}^{3}})}^{3/2}}-\frac{2}{3}{{(1+{{x}^{3}})}^{1/2}}+c$

D) none of these

• question_answer144) $\int_{1}^{2}{\log x\,dx}$is equal to:

A) $\log \left( \frac{e}{2} \right)$

B) $\log \left( \frac{2}{e} \right)$

C) $\log \left( \frac{e}{4} \right)$

D) $\log \left( \frac{4}{e} \right)$

• question_answer145) The value of a for which the function $f(x)=a\sin x+\frac{1}{3}\sin 3x$ has an extremum at $x=\frac{\pi }{3},$ is:

A) 1

B) $-1$

C) 0

D) 2

• question_answer146) If $\theta$is the angle between the vectors $\vec{a}=2\hat{i}-\hat{j}+\hat{k}$and $\vec{b}=\hat{i}+2\hat{j}+\hat{k},$ then the angle is:

A) 1

B) ${{\cos }^{-1}}\frac{1}{6}$

C) $\frac{1}{\sqrt{6}}$

D) none of these

• question_answer147) Two dice are thrown simultaneously. The probability that the sum of the points on two dice will be 7, is :

A) 5/36

B) 1/6

C) 7/36

D) 2/9

• question_answer148) Two parallel forces not having the same line of action form a couple, if they are:

A) like and unlike

B) like and equal

C) unequal and unlike

D) equal and unlike

• question_answer149) A particle is projected from the top of a tower $h$ metres high and at the same moment particle is projected upwards from the bottom of the tower. If the two particles meet when the upper one has described $(1/n)th$of the distance, then the velocity of the projection of the lower particle is:

A) $\sqrt{n\,g\,h}$

B) $\frac{1}{2}\sqrt{n\,g\,h}$

C) $\sqrt{2\,n\,g\,h}$

D) $\sqrt{\frac{1}{2}n\,g\,h}$

• question_answer150) A particle is projected with a velocity ${{v}_{0}}$so that its range on a horizontal plane is twice the greatest height attained. The range is:

A) $\frac{5}{4g}v_{0}^{2}$

B) $\frac{4}{5g}v_{0}^{2}$

C) $\frac{4}{3}v_{0}^{2}$

D) $\frac{3}{5}v_{0}^{2}$