ETEA Engineering Past Papers MCQs With Answers

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ETEA Engineering MCQs

1.According to Gay-Lussac’s variation of the volume of a sample of gas, at constant pressure, a straight line was obtained where slope was found to be equal to:

A.Po / 273
B.Pt / 273
C.Vo / 273
D.Vt / 273
Answer: Option C



2.If ‘x’ is the height of a person and ‘t’ is the time taken for ‘x’, then dx/dt is:

A.Velocity
B.Acceleration
C.Growth
D.None of these
Answer: Option C



3.Which one will show ionic bonding?

A.PbCl3
B.HClgas
C.PbCl4
D.NaH
Answer: Option D



4.The probability of either less than 1 or greater than 6 in rolling of a die is:

A.1/4
B.1/3
C.1
D.0
Answer: Option D



5.What is the magnitude of linear momentum of a particle if its De-Broglie’s wavelength is 0.02 mm?

A.0.5 h
B.50 h
C.5 x 104 h
D.5 x 107 h
Answer: Option C



6.The binding energy for nucleus ‘A’ is 7.7 MeV and that for nucleus ‘B’ is 7.8 MeV. Which nucleus has the larger mass?

A.Nucleus A
B.Nucleus B
C.More information is needed
D.None of these
Answer: Option A



7.Limx→∞ ( 1 + 1/x)x

A.Infinity
B.e
C.x
D.1/x
Answer: Option B



8.Choose the correct electronic configuration for scandium (Z=21):

A.1s2 2s2 2p5 3s2 3p6 4s2 4p1
B.1s2 2s2 2p5 3s2 3p6 3d1 4s8
C.1s2 2s2 2p6 3s2 3p6 3d1 4s2
D.2s2 2s2 2p6 3s2 3p6 3d1 4s1
Answer: Option C



9.An alternating current is represented by the equation: I=Iosin(wt). Which one of the following equations represents an alternating current that has half the amplitude and double the frequency?

A.I=2Iosin(wt)
B.2I=Iosin(wt/2)
C.2I=Iosin(wt)
D.I=(1/2) x Iosin(2wt)
Answer: Option D



10.As you have not prepared your work -----------.

A.You would do better in the examination
B.You are not likely to do well this time
C.You could prepare harder next time
D.You may not fail in the examination
Answer: Option B



11.Which one of the following electronic sub-shells the lanthanides have in the process of filling?

A.5f
B.4f
C.5d
D.4d
Answer: Option B



12.If X={a,b,c,d} and Y={1,2,3,4}, then which one of the following is a bijective function from X to Y?

A.{(b,2), (c,2), (a,3), (d,4)}
B.{(d,3), (b,4), (a,2), (c,1)}
C.{(c,1), (d,4), (b, 1), (a,3)}
D.{(a,1), (b,4), (c,2), (d,1)}
Answer: Option B



13.Nuclear fission occurs when a:

A.Light nucleus is split by neutrons
B.Light nucleus is split by alpha particles
C.Heavy nucleus is split by alpha heavy particle
D.Heavy nucleus is split by neutrons
Answer: Option D



14.If your body’s mass is 66.26 kg and you are running at the speed of 10 ms-1. What will be the De-Broglie’s wavelength associated with you? (h=6.626x10-34 Js)

A.10.0 x 10-34 m
B.10-36 m
C.5.0 x 1034 m
D.2.0 x 1033 m
Answer: Option B



15.d/dx(sech x)=-----------.

A.– cosh x
B.cosh x
C.tanhx sech x
D.– tanhx sech x
Answer: Option D



16.Becquerel is the unit of:

A.Activity
B.Decay constant
C.Half-life
D.Mean life
Answer: Option A



17.The atoms A and B have the electronic configurations:
A=1s2 2s2 2p6 3s2
B=1s2 2s2 2p4
Which one of the following compound is possible?

A.A2B2
B.AB2
C.A2B
D.AB
Answer: Option D



18.d/dx (sinh-1 x)= -----------.

A.1 / √(x2 + 1) ; ∀x∈R
B.1 / √(x2 - 1) ; ∀x∈R
C.1 / 1 - x2
D.1 / 1 - r2
Answer: Option A



19.A photon is:

A.A charged particle
B.An electron-positron pair
C.A quantum of electromagnetic radiation
D.A neutron
Answer: Option C



20.There are ----------- fish in this pond.

A.Much
B.Many
C.Any
D.More
Answer: Option B



21.Choose the correct statement:

A.Liquid crystals are devoid of isotropic and anisotropic properties
B.Liquid crystals have both isotropic and anisotropic properties
C.Crystalline solids are usually isotropic but liquid crystals are anisotropic
D.Crystalline solids are usually anisotropic but liquid crystals are isotropic
Answer: Option D



22.Straight lines represented by ax2+2hxy +by2=0 are perpendicular if:

A.a + b = 0
B.ab < h2
C.h2 < ab
D.h2 = ab
Answer: Option A



23.For a non-inverting amplifier, the gain is given by:

A.G=(1+R1)/R2
B.G=1+(R2/R1)
C.G=-R1/R2
D.G=-[(R1/R2)+1]
Answer: Option B



24.Which is not used as a desiccant?

A.Silica gel
B.CaCl2
C.P2O3
D.NaCl
Answer: Option D



25.Two or more vectors are said to be collinear if they are:

A.Parallel to the same line
B.Intersecting the same line
C.Perpendicular to the same line
D.Both (A) and (C)
Answer: Option A



26.The total energy of a hydrogen atom in its ground state is:

A.Negative
B.Positive
C.Zero
D.None of these
Answer: Option A



27.Atomicity is considered as the:

A.Number of sub-atomic particles present in an atom
B.Number of neutrons present in an atom
C.Number of atoms present in 1g of a substance
D.Number of atoms present in a molecule
Answer: Option D



28.∫e10x dx =

A.( e-10x / -10 )+ c
B.( e-10x / 10 ) + c
C.e-10x
D.( e10x / 10 ) + c
Answer: Option D



29.Kirchoff’s first law is based upon the law of conservation of:

A.Energy
B.Charge
C.Mass
D.Momentum
Answer: Option B



30.Change the following sentence into its passive form:
“She does not wash clothes on Friday”

A.Clothes were not being washed by her on Friday
B.Clothes were not washed by her on Friday
C.Clothes are not being washed by her on Friday
D.Clothes are not washed by her on Friday
Answer: Option D



31.In the periodic table, period represents:

A.The number of electrons in the outermost shell
B.The metallic and non-metallic characters of the elements
C.The chemical properties of an element
D.The number of shells in an element
Answer: Option D



32.The asymptotes of the hyperbola x2/a2 – y2/b2 =1 are:

A.y=±(b/a)*x
B.x=±(b/a)*y
C.y=±(a/b)*x
D.x=±(a/b)*y
Answer: Option A



33.Which of the following rays has the longest wavelength?

A.Ultraviolet rays
B.Infrared rays
C.X-Rays
D.Gamma rays
Answer: Option B



34.Which one is considered as Fool’s Gold?

A.Iron Pyrite FeS2
B.Copper metal
C.Copper Glance Cu2S
D.none of these
Answer: Option A



35.tan-1(5/6)+tan-1(1/11)=-----------.

A.pi/2
B.pi/4
C.3pi/2
D.pi/3
Answer: Option B



36.The wavelength of a wave traveling with speed ‘v’ and having frequency ‘f’ is:

A.Lambda=fv
B.Lambda=v/f
C.Lambda=v*f
D.Lambda=fiv
Answer: Option B



37.Common salt is purified by common ion effect by passing HCl gas through saturated solution of NaCl in water. Why ordinary crystallization process from saturated solution is not recommended?

A.Common salt solubility in water decreases with increase in temperature
B.Common salt solubility in water increases with increase in temperature
C.Common salt is less soluble
D.Common salt solubility remains constant with increase in temperature
Answer: Option D



38.The line y=mx+c becomes tangent to the circle x2 +y2=a2 if -----------.

A.c=a/m
B.c=m/a
C.c=± √(1-m2)
D.c=± √(a(1+m2))
Answer: Option D



39.Radioactive activity is affected by:

A.Temperature
B.Pressure
C.Humidity level
D.none of these
Answer: Option D



40.Do you go shopping often? Yes, -----------

A.I go shopping on Mondays
B.I go shopping once a week
C.I go shopping at Super Market
D.I go shopping every day
Answer: Option D



41.In an A.P. if a1=4 and a10=22 then a15=?

A.24
B.30
C.32
D.56
Answer: Option C



42.Which one of the following is a scalar quantity?

A.Electric intensity
B.Momentum
C.Acceleration
D.Mass
Answer: Option D



43.Out of the following, which treatment is mostly used to kill the disease causing bacteria and other pathogens in water?

A.Chlorination
B.Boiling
C.UV irradiation
D.Ozonization
Answer: Option A



44.Which of the following is correct?

A.Sum of the cube roots of unity is 0
B.Product of the cube roots of unity is 1
C.Each complex cube root of unity is reciprocal of the other
D.All of the above
Answer: Option D



45.A car of mass 1000 kg first travels forwards at 25 m/s and then backwards at 5 m/s. What is the change in the kinetic energy of the car?

A.300 kJ
B.325 kJ
C.400 kJ
D.200 kJ
Answer: Option A



46.Choose the correct sentence of the following:

A.I am much thankful to you
B.I am very thankful to you
C.I am just thankful to you
D.I am quite thankful to you
Answer: Option C



47.Which of the following reagent will convert acetic acid into acetyl chloride?

A.NaCl
B.HCl/ZnCl2
C.Hg
D.SOCl2
Answer: Option D



48.The concept of complex numbers as a+ib was given by:

A.Newton
B.Gauss
C.Archimedes
D.Leibniz
Answer: Option B



49.Teflon is prepared by the polymerization of:

A.Tetraflouoroethene
B.Propylene
C.Vinyl cynide
D.Butadiene
Answer: Option A



50.Which one is the correct formula for finding the speed ‘v’ of ocean waves in terms of density p of sea water, the acceleration of free fall g, the depth h of the ocean and the wavelength of lambda?

A.v=√(g*lambda)
B.v=√(g/h)
C.v=√(p*g*h)
D.v=√(g/p)
Answer: Option A

 :

51.The power loss P in a resistor is calculated using the formula P=V2/R. The uncertainty in the potential difference V is 3% and the uncertainty in the resistance R is 2%, what is the uncertainty in P?

A.4%
B.7%
C.8%
D.11%
Answer: Option C



52.(x-1)-1=-----------.

A.1/x
B.-1/x
C.x
D.-x
Answer: Option C



53.Aspirin is produced by heating salicylic acid with:

A.Phenol in the presence of sulphuric acid
B.Dentoic anhydride in the presence of phosphoric acid
C.Methyl alcohol in the presence of sulphuric acid
D.Acetic anhydride in the presence of sulphuric acid
Answer: Option D



54.For a given matrix A, if |A| is not equal to 0 then (A- 1)t=-----------.

A.(A1)-t
B.(A-1)-1
C.A-1
D.(At)-1
Answer: Option D



55.The measurement of physical quantity may be subjected to random errors and to systematic errors. Which statement is correct?

A.Random errors are always caused by the person taking the measurement
B.A systematic error can’t be reduced
C.Random errors can be reduced by taking the average of several measurements
D.A systematic error results in a different reading each time the measurement is taken
Answer: Option C



56.Molecular orbitals are generally considered as:

A.De-localized
B.Localized
C.Normalized
D.None of these
Answer: Option A



57.A narrow beam of monochromatic light is incident normally on a diffraction grating. Third order diffracted beams are formed at angles of 45° to the original direction. What is the highest order of diffracted beam produced by this grating?

A.2nd
B.3rd
C.4th
D.5th
Answer: Option B



58.‘Hue and cry’ means:

A.Colorful cooking
B.Shouting at the people
C.Noisy public protest
D.Loud confused talking
Answer: Option C



59.Select the correct name of the compound:
Benzene ring – CH2 – Benzene ring

A.Naphthalene
B.Diphenyl
C.Phenanthrene
D.Diphenyl methane
Answer: Option D



60.Change the following sentence into its passive form:
“Will you give me your bicycle?”

A.Shall you be given to me by your bicycle?
B.Will your bicycle be given to me by you?
C.I shall be given your bicycle by you?
D.Your bicycle will be given to me by you?
Answer: Option B



61.Why does an ideal gas exert pressure on its container?

A.The weight of the molecules exerts a force on the walls of the container
B.The molecules of the gas collide continually with the walls of the container
C.The molecules of the gas collide inelastically with the walls of the container
D.The molecules of the gas collide continually with each other
Answer: Option B



62.Which one of the following is the most reactive compound?

A.Nitrobenzene
B.Toluene
C.Benzoic acid
D.Benzene
Answer: Option B



63.What will be the remainder when x4+2x3-2x-3 is divided by x+2?

A.-7
B.-23
C.-1
D.none of these
Answer: Option D



64.|Z1+Z2| is -----------.

A.Greater than or equal to |Z1|+|Z2|
B.Less than or equal to |Z1|+|Z2|
C.Equal to |Z1|+|Z2|
D.Equal to |Z1Z2|
Answer: Option B



65.On a particular railway track, a train driver applies the brakes of the train at a yellow signal, a distance of 1 km from red signal, where it stops. The maximum deceleration of the train is 0.2ms-2. Assuming uniform deceleration, what is the maximum safe speed of the train at the yellow signal?

A.400ms-1
B.200ms-1
C.40ms-1
D.20ms-1
Answer: Option D



66.Consider the addition of hydrogen acids to alkenes; what is the correct order of reactivity?

A.HI > HBr >HCl
B.HCl > HBr > HI
C.HBr > HI > HCl
D.HCl >HI >HBr
Answer: Option A



67.Consider the solubility of the following sparingly soluble salt in water.
AgCl(s) <--------> Ag+(aq) + Cl-(aq) (Reversible reaction)
Ksp=Kc[AgCl]=[Ag+][Cl-]
The precipitation of AgCl will occur if the product of ionic concentration is:

A.Equal to Ksp
B.less than Ksp
C.equal to or less than Ksp
D.more than Ksp
Answer: Option D



68.Equation of the parabola with vertex at (0,0) and directrix y +2=0 is:

A.x2=8y
B.y2=8x
C.x2=-8y
D.y2=8x+8y
Answer: Option A



69.In a stationary wave, the distance between a consecutive node and an antinode is equal to:

A.lambda/4
B.lambda
C.lambda/2
D.3lambda/4
Answer: Option C



70.Change the following sentence into its indirect form:
He said to me, “Why have you come late?”

A.He asked me why I came late
B.He asked me why I had come late
C.He asked me why I have come late
D.He told me as to why I had come late
Answer: Option B



71.Select the oxide which will be acidic in nature.

A.BaO
B.K2O
C.CaO
D.P2O5
Answer: Option D



72.If (x1,y1), (x2,y2) and (x3,y3) are the vertices of a triangle ABC then the area of the triangular region is:

A.1/2*[x1(y2-y3)+x2(y3- y1)+x3(y1-y2)]
B.x1(y2-y1)+x2(y2- y1)+x3(y1-y2)
C.1/2*[x1(y2+y3)+x1(y2 +y1)+x1(y1+y3)]
D.2[x1(y2-y3)+x1(y2- y1)+x3(y1-y3)]
Answer: Option A



73.An alternating current of rms value 20 mA passes through a 4 kilo-ohms resistor. What is the average power dissipated?

A.0.8 W
B.1.6 W
C.8x108 W
D.1.6x108 W
Answer: Option B



74.The solution formation of two miscible liquids perfectly obey the Raoult’s law if they satisfy the conditions:

A.deltaH=0 and deltaV=1
B.deltaH=1 and deltaV=0
C.deltaH=1 and deltaV=1
D.deltaH=0 and deltaV=0
Answer: Option D



75.The eccentricity and foci of the ellipse 16x2 +25y2=400 are:

A.3/5, (±3,0)
B.-3/5, (0,±3)
C.-4/5, (0,±4)
D.4/5, (±4,0)
Answer: Option A



76.Which of the following statement is false about the acetic acid?

A.Acetic acid is stronger acid than monochloro-acetic acid
B.Acetic acid is weaker acid than trichloro-acetic acid
C.Acetic acid is weaker acid than formic acid
D.Acetic acid is weaker acid than hydrochloric acid
Answer: Option A



77.The x+iy form of (1-3i)-1 is:

A.(3/10)-(3i/10)
B.(1/3)+(3i/5)
C.(-1/10)-(3i/10)
D.(1/10)+(3i/10)
Answer: Option D



78.What is the ratio (1 G m/1 μ m)?

A.10-3
B.10-7
C.10-18
D.1015
Answer: Option D



79.Which metal’s presence in fish was responsible for the Minimata disease in Japan?

A.Cadmium
B.Mercury
C.Copper
D.Lead
Answer: Option B



80.{1, w, w2} is a group under:

A.Addition
B.Subtraction
C.Division
D.Multiplication
Answer: Option D



81.Which physical quantity would result from a calculation in which a potential difference is multiplied by an electric charge?

A.Electric current
B.Electric field strength
C.Electric power
D.Electric energy
Answer: Option D



82.Metaformaldehyde is a trimer of:

A.Methanal
B.Methanol
C.Ethanal
D.Ethanol
Answer: Option A



83.If the order of matrix A is p x q and order of matrix B is q x r, then the order of matrix C = A x B will be:

A.p x q
B.p x r
C.q x r
D.r x p

Answer: Option B



84.In the expressions below, ‘a’ is acceleration, ‘F’ is force, ‘m’ is mass, ‘t’ is time and ‘v’ is velocity. Which expression represents energy?

A.Fvt
B.Ft
C.2mv
D.at2/2
Answer: Option A



85.Choose the correct sentence out of the following:

A.Each one of the two students got a prize
B.Each of the two students got a prize
C.Any one of the two students got a prize
D.Every one of the two students got a prize
Answer: Option B



86.If ‘A’ and ‘B’ are mutually exclusive events then:

A.P(A U B)=P(A) + P(B) – P(A ∩ B)
B.P(A U B)= P(A) + P(B)
C.P(AUB) = P(A) U P(B)
D.P(AUB) = P(A) ∩ P(B)
Answer: Option B



87.The order of chemical reaction can be measured by:

A.Half-life method
B.Differential method
C.Ostwald method
D.All of these
Answer: Option D



88.Which one of the following series lies in the visible region?

A.Pfund
B.Paschen
C.Lymann
D.Balmer
Answer: Option D



89.If half-life of a certain chemical reaction is denoted by the relationship given below:
T1/2=1/Ka1
Where ‘a’ is the initial concentration, what will be the order of the reaction?

A.Fractional order kinetics
B.Third order kinetics
C.First order kinetics
D.Second order kinetics
Answer: Option D



90.Integrate 1/x with respect to x.

A.x2/k + c
B.loge(kx) + c
C.log(kx) + c
D.logex + c
Answer: Option D



91.The binding energy per nucleon is greater for:

A.Lighter nuclei
B.Heavy nuclei
C.Intermediate nuclei
D.none
Answer: Option C



92.The standard molar enthalpy of formation is denoted by:

A.deltaH
B.deltaHo
C.deltaHo273
D.deltaHo298
Answer: Option D



93.The acute angle formed by two non-perpendicular intersecting lines is given by:

A.tan theta=|(m2-m1)/(1+m1m2)|
B.tan theta=|(m1-m2)/(1+m2m3)|
C.tan theta=|(m1-m2)/(1-m3m2)|
D.tan theta=|(1+m2-m3)/(m2m3)|
Answer: Option A



94.When a wave comes across an obstacle, it bands ground the obstacle. This phenomenon of bending around a wave is called:

A.Polarization
B.Interference
C.Reflection
D.Diffraction
Answer: Option D



95.Choose the correct statement about Born Haber’s cycle:

A.Born Haber cycle is a process for applying Hess’s law to the standard enthalpy changes in the formation of ionic compound
B.Born Haber cycle is a process for applying Hess’s law to the standard enthalpy changes in the formation of covalent compounds
C.Born Haber cycle is a process for applying Hess’s law to the standard enthalpy changes in the formation of ionic and covalent compounds
D.None of these
Answer: Option A



96.d/dx(|x|) is:

A.x/x2
B.x2/x
C.x/|x|
D.|x|/x
Answer: Option C



97.Longitudinal waves cannot be:

A.Diffracted
B.Diffracted
C.Interfered
D.Polarized
Answer: Option D



98.If we leave this minute, -----------.

A.I’m sure we’ll take it
B.I’m sure we’ll make it
C.I’m sure we’ll get it
D.I’m sure we’ll turn it
Answer: Option B



99.I insist ----------- the withdrawal of your statement.

A.on
B.at
C.for
D.in
Answer: Option A



100.The Raolt’s law for the reaction A -----> C + k is given as:
Rate=K[A], the unit of K will be:

A.s-1
B.mole dm-3 s-1
C.mole-1 dm3
D.mole-1 dm3 s-1
Answer: Option A


All the MCQ are from the past papers of Engineering ETEA. Past Papers of the ETEA are also in the Quiz Tests of the Subjects of all the Papers.