TU IOST | Entrance paper

BSc CSIT Entrance Exam 2080 Questions with Answers

98 questions, 2 hours. Correct option marked, with our explanation and the chapter to revise.

Take it as a timed test

Mathematics

Q2Absolute value equations

If $|x-5|=7$, then $x=$

a${12,-2}$
b$[-2,12]$
c$(-2,12)$
dnone

Answer (a): $|x-5|=7$ gives $x-5=7$ or $x-5=-7$, so $x=12$ or $x=-2$.

Revise: Algebra (Class 11 notes)

Q3Inverse functions

If $f(x)=3x-2$ for $x\in R$, then $f^{-1}(7)=$

a0
b1
c3
d $-2$

Answer (c): $f^{-1}(7)=a$ means $f(a)=7$, so $3a-2=7$ and $a=3$.

Revise: Algebra (Class 11 notes)

Q4Domain and range

The range of the function $f(x)=\sqrt{x-3}$ is

a$(-\infty,0)$
b$[0,\infty)$
c$[3,\infty)$
d$(3,\infty)$

Answer (b): A square root is never negative and takes every value from $0$ upward as $x\ge 3$ increases, so the range is $[0,\infty)$.

Revise: Algebra (Class 11 notes)

Q5Even and odd functions

The function $f(x)=x^4+5$ is symmetrical about

aorigin
bx-axis
cboth x and y axes
dy-axis

Answer (d): $f(-x)=(-x)^4+5=f(x)$, so the function is even and its graph is symmetric about the y-axis.

Revise: Algebra (Class 11 notes)

Q6Geometric series

If a, b, c, d... are in G.S., then $1/a, 1/b, 1/c, 1/d$ are in

aG.S.
bH.S.
cA.S.
dnone

Answer (a): If the common ratio of a, b, c is $r$, the reciprocals have common ratio $1/r$, so they are again in geometric series.

Revise: Algebra (Class 11 notes)

Q7Matrix inverse

If $A=\begin{pmatrix}2&5\3&7\end{pmatrix}$, then $A^{-1}=$

a$\begin{pmatrix}-2&-5\-3&-7\end{pmatrix}$
b$\begin{pmatrix}7&-5\-3&2\end{pmatrix}$
c$\begin{pmatrix}-7&5\3&-2\end{pmatrix}$
d$\frac{1}{\begin{vmatrix}2&5\3&7\end{vmatrix}}$

Answer (c): $|A|=14-15=-1$, and $A^{-1}=\frac{1}{-1}\begin{pmatrix}7&-5\-3&2\end{pmatrix}=\begin{pmatrix}-7&5\3&-2\end{pmatrix}$.

Revise: Algebra (Class 11 notes)

Q8Types of matrices

If A is a square matrix, then the matrix $A+A^T$ is

asquare
bsymmetric
cdiagonal
dskew symmetric

Answer (b): $(A+A^T)^T=A^T+A=A+A^T$, so it is symmetric (it is also square, but symmetric is the specific property).

Revise: Algebra (Class 11 notes)

Q9Quadratic equations

If one root of a quadratic equation is $\frac{1}{3+\sqrt5}$, then the quadratic equation is

a$x^2-6x+1=0$
b$x^2-6x-1=0$
c$4x^2-6x-1=0$
d$4x^2-6x+1=0$

Answer (d): The root is $\frac{3-\sqrt5}{4}$, so the other is $\frac{3+\sqrt5}{4}$. Sum $=\frac32$, product $=\frac14$, giving $x^2-\frac32x+\frac14=0$, i.e. $4x^2-6x+1=0$.

Revise: Algebra (Class 11 notes)

Q10Complex numbers

The least positive integer $k$ which will reduce $\left(\frac{i-1}{i+1}\right)^k$ to a real number is

Answer (a): $\frac{i-1}{i+1}=\frac{(i-1)(1-i)}{(1+i)(1-i)}=\frac{2i}{2}=i$. $i^1=i$ is not real but $i^2=-1$ is real, so $k=2$.

Revise: Algebra (Class 11 notes)

Q11Inverse trigonometric functions

If $\tan^{-1}2x+\tan^{-1}3x=\pi/4$, then $x=$

a$1/6,2$
b$1/6,-1$
c$0,1$
d$1/6,0$

Revise: Trigonometry (Class 11 notes)

Q12Trigonometric equations

If $\sin^2x=1/2$, then for $n\in Z$, $x=$

a$n\pi\pm\pi/4$
b$n\pi\pm\pi/3$
c$n\pi\pm\pi/4$
d$n\pi+(-1)^n\pi/4$

Answer (a): $\sin^2x=\sin^2(\pi/4)$ has general solution $x=n\pi\pm\pi/4$.

Revise: Trigonometry (Class 11 notes)

Q13Distance from a point to a line

The points on the y-axis at distance of $\sqrt2$ units from the line $x+y=1$, are

a$(0,-1)$ and $(0,-3)$
b$(0,1)$ and $(0,-3)$
c$(0,1)$ and $(0,3)$
d$(0,-1)$ and $(0,3)$

Answer (d): For $(0,y)$: $\frac{|y-1|}{\sqrt2}=\sqrt2$, so $|y-1|=2$ and $y=3$ or $y=-1$.

Revise: Analytic geometry (Class 11 notes)

Q14Pair of straight lines

The equation $kx^2+xy-y^2+2x-y=0$ represents a pair of lines if $k=$

a0
b2
c1
dnone

Answer (b): Using $abc+2fgh-af^2-bg^2-ch^2=0$ with $a=k,b=-1,c=0,h=\frac12,g=1,f=-\frac12$: $-\frac12-\frac k4+1=0$, so $k=2$.

Revise: Analytic geometry (Class 11 notes)

Q15Direction cosines

If the direction cosines of a line are 2, 3, -6, then its direction cosines are;

a$\frac27,\frac{-3}{7},\frac{-6}{7}$
b$\frac{-2}{7},\frac37,\frac{-6}{7}$
c$\frac{-2}{7},\frac{-3}{7},\frac{-6}{7}$
d$\frac27,\frac37,\frac{-6}{7}$

Answer (d): The question means direction ratios $2,3,-6$. Divide by $\sqrt{4+9+36}=7$ to get $\frac27,\frac37,-\frac67$.

Revise: Analytic geometry (Class 12 notes)

Q16Linear independence of vectors

If the three non zero vectors $\mathbf p,\mathbf q,\mathbf r$ are expressed as $x\mathbf p+y\mathbf q+z\mathbf r=0$ and x, y, z are scalars then the vectors are linearly independent if

a$x\ne0,y\ne0,z\ne0$
b$x=0,y\ne0,z\ne0$
c$x=0,y=0,z=0$
dnone

Answer (c): Vectors are linearly independent exactly when the only solution of the relation is the trivial one, x = y = z = 0.

Revise: Vectors (Class 11 notes)

Q17Probability

While two dice are thrown, the probability of getting the sum less than four is

a1/18
b1/12
c1/6
d1/9

Answer (b): Sum 2 has 1 way and sum 3 has 2 ways, so 3 favourable of 36 outcomes: 3/36 = 1/12.

Revise: Statistics and Probability (Class 11 notes)

Q18Limits

$\lim_{x\to0}\frac{\tan x+4x}{x}=$

a5
b0/0
c4
d1

Answer (a): $\lim\frac{\tan x+4x}{x}=\lim\frac{\tan x}{x}+4=1+4=5$.

Revise: Calculus (Class 11 notes)

Q19Differentiation

If $y=\log_e e^{\sin(3x^2)}$, then $\frac{dy}{dx}=$

a$\log_e e^{\sin(3x^2)}$
b$e^{\sin(3x^2)}$
c$6x\sin(3x^2)$
d$6x\cos3x^2$

Answer (d): $y=\sin(3x^2)$, so $\frac{dy}{dx}=\cos(3x^2)\cdot6x=6x\cos3x^2$.

Revise: Calculus (Class 11 notes)

Q20Points of inflection

The points of inflection of the curve $x^4-6x^2+8x$ are:

a$1,2$
b$2,-1$
c$1,-1$
d$0,1$

Answer (c): $y''=12x^2-12=0$ gives $x=\pm1$, and $y''$ changes sign at both, so the inflection abscissas are $1,-1$.

Revise: Calculus (Class 11 notes)

Q21Definite integrals

$\int_0^{\pi/2}\cos x,e^{\sin x},dx=$

a$e-1$
b $e$
c$e+1$
d1

Answer (a): Put $t=\sin x$: $\int_0^1e^t,dt=e-1$.

Revise: Calculus (Class 11 notes)

Q23Roots of equations

The function $f(x)=x^2+x-4$ defined in $[1,4]$ has

aroots
bno roots
cone root
dnone

Answer (c): $f(1)=-2<0$ and $f(4)=16>0$, so a root lies in $(1,4)$; $f$ is increasing there, so exactly one root.

Revise: Computational methods (Class 11 notes)

Q24Resolution of forces

If a force of 10N is inclined 45 degrees to the horizon, then resolved part of the force in vertical direction is

a5N
b$\sqrt2N$
c$5\sqrt2,N$
d10N

Answer (c): Vertical component $=10\sin45^\circ=10\times\frac{1}{\sqrt2}=5\sqrt2,N$.

Revise: Mechanics (Class 11 notes)

Q25Motion on an inclined plane

A ball is projected up an inclined plane with a velocity of $20,m/sec$. If the inclination of the plane to the horizontal is $30^\circ$ and acceleration due to gravity is $10,m/sec^2$, then the length described before coming to rest is

a$20,m$
b$30,m$
c$200,m$
d$40,m$

Answer (d): Deceleration along the plane is $g\sin30^\circ=5,m/s^2$. Distance is $\frac{v^2}{2a}=\frac{400}{10}=40$ m.

Revise: Mechanics (Class 11 notes)

Physics

Q26Units and dimensions

Joule x second is the unit of

aEnergy
bMomentum
cAngular momentum
dPower

Answer (c): $J,s=(kg,m^2s^{-2}),s=kg,m^2s^{-1}$, the unit of angular momentum (and of Planck's constant).

Revise: Physical Quantities (Class 11 notes)

Q27Magnetic force on a moving charge

In equation $\vec F=q(\vec v\times\vec B)$ the quantity $\vec F$ is

aPerpendicular to $\vec v$ only
bPerpendicular to $\vec B$ only
cPerpendicular to both $\vec v$ and $\vec B$
dPerpendicular to q and $\vec B$

Answer (c): A cross product is perpendicular to both of the vectors that form it.

Revise: Magnetic Field (Class 12 notes)

Q28Vertical projectile motion

Two balls of the same mass are shot upwards one after another at an interval of 2 seconds along the same vertical line with the same initial velocity of $40,m/s$. They will collide at a height of

a$75,m$
b$80,m$
c$30,m$
d$45,m$

Answer (a): If the first ball is at time $t$ and the second at $t-2$, equal heights give $40t-5t^2=40(t-2)-5(t-2)^2$, so $t=5$ s. Height $=200-125=75$ m.

Revise: Kinematics (Class 11 notes)

Q29Projectile motion

A cricket ball is hit at $45^\circ$ to horizontal with a kinetic energy $K$. The kinetic energy of ball at highest point of path is

a0
b$K/2$
c$\frac{K}{\sqrt2}$
dK

Answer (b): At the top only the horizontal velocity $u\cos45^\circ$ remains, so KE $=K\cos^2 45^\circ=K/2$.

Revise: Kinematics (Class 11 notes)

Q30Friction

The maximum value of static friction is called

aRolling friction
bLimiting friction
cMaximum friction
dDynamic friction

Answer (b): The largest static friction, just before motion begins, is called limiting friction.

Revise: Dynamics (Class 11 notes)

Q31Current affairs: Chandrayaan-3

India has become the first country to successfully land a spacecraft Chandrayaan-3 near the south pole of the Moon. Its rover has confirmed the presence of

aOxygen and Sulphur
bHydrogen and Oxygen
cSulphur and Nitrogen
dNitrogen and Water

Answer (a): The Pragyan rover's LIBS instrument confirmed sulphur along with other elements such as aluminium, calcium, iron and oxygen.

Q32Floating bodies

A girl is sitting in a boat which is floating in Fewa Lake. If she drinks water from the lake, the level of water in the lake will be

aIncreased
bDecreased
cRemain unchanged
dMay increase or decrease depending upon the weight of the girl

Answer (c): The water she drinks adds its weight to the floating boat, which then displaces exactly that much extra water, so the lake level is unchanged.

Revise: Fluid Statics (Class 12 notes)

Q33Thermal expansion

Fire alarm work on the principle of

aVolume expansion of solid
bVolume expansion of water
cVolume expansion of gas
dBimetallic bar which become curve on heating

Answer (d): A bimetallic strip bends when heated because its two metals expand unequally, closing the alarm circuit.

Revise: Thermal Expansion (Class 11 notes)

Q34Humidity

During 5-12 September 2023, temperature at noon is recorded the same at the base camp of Mount Everest. A climber feels hottest when the relative humidity is

a99%
b50%
c30%
d10%

Answer (a): High humidity slows evaporation of sweat, so cooling is poor and the body feels hottest at 99%.

Revise: Heat and Temperature (Class 11 notes)

Q35Refraction at a plane surface

A microscope is focused on an 'ink mark'. A glass plate is placed over the spot. In order to focus the spot, microscope is to be raised 1 m. In order to focus scratch on upper surface it must be raised 2 m further. The refractive index of glass is

a1.33
b1.50
c1.62
d1.80

Answer (b): Plate thickness $t=1+2=3$. Apparent shift of the mark is $t(1-\frac1\mu)=1$, so $1-\frac1\mu=\frac13$ and $\mu=1.5$.

Revise: Refraction at Plane Surface (Class 11 notes)

Q36Lenses

Decrease in aperture of a lens changes

aPosition of the image
bSize of the image
cIntensity of the image
dBoth position and size of the image

Answer (c): Reducing the aperture cuts the light collected, so the image becomes dimmer while its position and size stay the same.

Revise: Lenses (Class 11 notes)

Q37Mechanical waves

Sound travels in rocks in the form of

aLongitudinal elastic wave
bTransverse elastic wave
cBoth longitudinal and transverse elastic waves
dStationary wave

Answer (c): Solids can support shear, so both longitudinal and transverse waves travel through rock.

Revise: Mechanical Waves (Class 12 notes)

Q38Capacitance of a sphere

If radii of a solid and hollow sphere are same. Which can hold greater number of charges?

aSolid sphere
bHollow sphere
cBoth will hold equal charges
dCharge storing capacity depends upon surface temperature

Answer (c): Charge sits on the outer surface and capacitance $C=4\pi\varepsilon_0R$ depends only on the radius, so both hold equal charge.

Revise: Capacitor (Class 11 notes)

Q39Grouping of cells

To draw maximum current from a combination of cells, the cells be grouped as

aseries
bparallel
cmixed
dboth (a) and (b).

Answer (c): Maximum current needs external resistance matched to the internal resistance of the bank, which is generally achieved by a mixed grouping.

Revise: Electrical Circuit One (Class 12 notes)

Q40Force between parallel currents

Two parallel wires carrying currents in the same direction attract each other because of

aPotential difference between them
bMutual inductance between them
cElectric forces between them
dMagnetic forces between them

Answer (d): Each wire sits in the magnetic field of the other, and same-direction currents give an attractive magnetic force.

Revise: Magnetic Field (Class 12 notes)

Q41Self-inductance

An emf of 2 volt is produced in a coil when current changes at steady rate from 3 to 2 amperes in 1 milli-second. The value of self-inductance is

a0
b$2,mH$
c$20,mH$
d$2,H$

Answer (b): $L=\frac{\varepsilon}{|dI/dt|}=\frac{2}{1/10^{-3}}=2\times10^{-3},H=2,mH$.

Revise: Electromagnetic Induction (Class 12 notes)

Q42LCR circuits

In L-C-R circuit, potential difference between terminals of inductance is 60 volts, between terminals of condenser is 30 volts, and between terminals of resistance is 40 volts. The supply voltage will be equal to

a130 volts
b70 volts
c50 volts
d10 volts

Answer (c): $V=\sqrt{V_R^2+(V_L-V_C)^2}=\sqrt{40^2+30^2}=50,V$.

Revise: Alternating Currents (Class 12 notes)

Q43Earth's magnetism

The magnetic field of Earth is due to

aMotion and distribution of materials in and around the Earth
bInteraction between cosmic rays and surface of the Earth
cA strong magnetic dipole is believed to be buried at the center of the Earth
dStrong induction effect of the Sun

Answer (a): The field is attributed to electric currents from the motion of molten conducting material in the outer core (dynamo effect). Of the options, the first is the closest.

Revise: Magnetic Properties of Materials (Class 12 notes)

Q44Motion of charge in magnetic field

A free charged particle moves through a magnetic field. The particle may undergo a change in

aspeed
benergy
cpressure
ddirection of motion

Answer (d): Magnetic force is perpendicular to velocity, so it does no work: speed and energy stay fixed, only direction changes.

Revise: Magnetic Field (Class 12 notes)

Q45Bohr model

The speed of electron in first Bohr orbit of Hydrogen atom is $v$. The speed of electron in the first excited state of doubly ionized Lithium atom is

a$v/2$
b $v$
c $1.5v$
d $2v$

Answer (c): Speed $\propto Z/n$. For $Li^{2+}$, $Z=3$ and first excited state $n=2$: $v'=v\cdot\frac32=1.5v$.

Revise: Quantization of Energy (Class 12 notes)

Q46General awareness: nuclear physics

What is nuclear 'holocaust'?

aFormation of a nuclear bomb
bFormation of nuclear reactor
cMaking hole in the nuclear shielding layer
dAfter math of a nuclear explosion

Answer (d): A nuclear holocaust means the widespread destruction and aftermath following nuclear explosions.

Revise: Nuclear Physics (Class 11 notes)

Q47General awareness

Oppenheimer is a 2023 biographical drama film written and directed by Christopher Nolan and starring Cillian Murphy as J. Robert Oppenheimer a physicist. His scientific contribution is

aNuclear Reactor Physics
bAK-47 Rifle
cBullet Dynamics
dDesign of Atom Bomb

Answer (d): Oppenheimer led the Los Alamos laboratory that designed the atomic bomb in the Manhattan Project.

Q48Radioactive decay

A GM counter gives $82,counts/sec$. After $210,seconds$ the count rate decreased to $19,counts/sec$. The background count is $10,counts/sec$, then the half life of the source is

a$40,s$
b$70,s$
c$105,s$
d$210,s$

Answer (b): Net rates: $82-10=72$ and $19-10=9$. $72/9=8=2^3$, so 3 half-lives in $210,s$, giving $T_{1/2}=70,s$.

Revise: Radioactivity and Nuclear Reaction (Class 12 notes)

Q49Logic gates

The truth table given below is for: [Table: A=0,B=0 gives Y=0; A=0,B=1 gives Y=0; A=1,B=0 gives Y=0; A=1,B=1 gives Y=1]

aNOT gate
bOR gate
cNOR gate
dAND gate

Answer (d): The output is 1 only when both inputs are 1, which is the AND operation.

Revise: Semiconductor Devices (Class 12 notes)

Q50Transistors

NPN transistors are preferred to PNP transistors because they have

aLow cost
bLow dissipation of energy
cCapable of handling larger power
dElectrons have high mobility than holes and hence high mobility of energy

Answer (d): In an NPN transistor the majority carriers are electrons, which have higher mobility than holes, giving better response.

Revise: Semiconductor Devices (Class 12 notes)

Chemistry

Q51Laws of chemical combination

The law of conservation of mass was developed by

aAntoine Laurent de Lavoisier
bJoseph Louis Proust
cJohn Dalton
dNiels Bohr

Answer (a): Lavoisier showed that mass is neither created nor destroyed in a chemical reaction.

Revise: Stoichiometry (Class 11 notes)

Q52Electronic configuration

The actual electronic configuration of copper is

a$[Ar]3d^94s^2$
b$[Ar]3d^{10}4s^1$
c$[Ar]3d^84s^2$
d$[Ar]3d^74s^2$

Answer (b): A filled 3d subshell is extra stable, so one 4s electron moves to 3d: [Ar] 3d10 4s1.

Revise: Atomic Structure (Class 11 notes)

Q53Periodic properties

The most electronegative element in the periodic table is

achlorine
boxygen
cfluorine
dnitrogen

Answer (c): Fluorine has the highest electronegativity (4.0 on the Pauling scale).

Revise: Classification of Elements (Class 11 notes)

Q54Molecular shapes

The shape of $NH_3$ molecule is

asquare planar
blinear
ctetrahedral
dpyramidal

Answer (d): Nitrogen has three bond pairs and one lone pair (sp3), giving a pyramidal shape.

Revise: Chemical Bonding (Class 11 notes)

Q55Hydrated salts

The number of water molecules associated with copper sulphate is

Answer (a): Blue vitriol is $\ce{CuSO4.5H2O}$.

Revise: Chemistry of Metals (Class 11 notes)

Q56Alloys

Brass is a/an

ametalloid
balloy
cnon-metal
dalkali metal

Answer (b): Brass is an alloy of copper and zinc.

Revise: Chemistry of Metals (Class 11 notes)

Q57Tests for anions

The compound formed during the ring test for nitrate is

a$\ce{FeSO4.NO2}$
b$\ce{Fe(NO3)3}$
c$\ce{FeSO4.NO}$
d$\ce{Fe(NO3)2}$

Answer (c): Nitrate is reduced to $NO$ by $FeSO_4$ and conc. $H_2SO_4$; $NO$ combines with $FeSO_4$ to give the brown ring of $\ce{FeSO4.NO}$.

Revise: Chemistry of Non-Metals (Class 11 notes)

Q58Laboratory preparation of gases

Kipp's apparatus is used for the preparation of

a$\ce{Cl2}$
b$\ce{SO2}$
c$\ce{CO2}$
d$\ce{H2S}$

Answer (d): Kipp's apparatus gives gas from a solid and a liquid without heating: H2S from FeS and acid, and also CO2 or H2.

Revise: Chemistry of Non-Metals (Class 11 notes)

Q59Bio-inorganic chemistry

The metal ion present in chlorophyll is

a$\ce{Mg^2+}$
b$\ce{Ca^2+}$
c$\ce{Ba^2+}$
d$\ce{Cu^2+}$

Answer (a): The porphyrin ring of chlorophyll holds a central magnesium ion.

Revise: Bio-Inorganic Chemistry (Class 11 notes)

Q60Structure of organic compounds

Tetrahedral structure of carbon was proposed by

aLinus Pauling
bvan't Hoff and Le Bell
cRobert Corey
dJames Waston

Answer (b): van't Hoff and Le Bel independently proposed the tetrahedral carbon atom in 1874.

Revise: Fundamental Principles (Class 11 notes)

Q61Industrial chemistry

Haber's process is used for the manufacture of

asulphuric acid
bnitric acid
cammonia
dsodium hydroxide

Answer (c): $N_2+3H_2\rightleftharpoons2NH_3$ is the Haber process.

Revise: Modern Chemical Manufactures (Class 11 notes)

Q62History of aromatic compounds

Benzene was isolated first by

aBerzelius
bCavandish
cWohler
dFaraday

Answer (d): Michael Faraday isolated benzene in 1825 from compressed oil gas.

Revise: Aromatic Hydrocarbons (Class 11 notes)

Q63Coordination compounds

Prussian blue is

a$\ce{Fe4[Fe(CN)6]3}$
b$\ce{Na4[Fe(CN)6]}$
c$\ce{Fe(CNS)3}$
d$\ce{Na2[Fe(CN)5NO]}$

Answer (a): Prussian blue is ferric ferrocyanide, Fe4[Fe(CN)6]3.

Revise: Study of Heavy Metals (Class 12 notes)

Q64Radioactive series

Which of the followings is related to Uranium series?

a $4n$
b$(4n+2)$
c$(4n+1)$
d$(4n+3)$

Answer (b): The uranium (U-238) series has mass numbers of the form 4n+2.

Revise: Nuclear Chemistry (Class 12 notes)

Q65Polymers

An example of condensation polymer is

apolystyrene
bteflone
cbakelite
dpolyvinyl chloride

Answer (c): Bakelite forms from phenol and formaldehyde with loss of water; the others are addition polymers.

Revise: Chemistry in the Service to Mankind (Class 12 notes)

Q66Transition elements

Which is correct for transition elements?

aexhibit inert pair effect
bhave low melting points
cdo not show catalytic activity
dexhibit variable oxidation states

Answer (d): Partly filled d orbitals allow several oxidation states in transition metals.

Revise: Transition Metals (Class 12 notes)

Q67Heavy metals

Corrosive sublimate is

a$\ce{HgCl2}$
b$\ce{Hg2Cl2}$
c$\ce{HgI2}$
dHgO

Answer (a): Corrosive sublimate is mercuric chloride, $HgCl_2$. Calomel is $Hg_2Cl_2$.

Revise: Study of Heavy Metals (Class 12 notes)

Q68Oxidation of alcohols

The major product of reaction between ethanol and potassium dichromate in presence of sulphuric acid is

a$\ce{CH3COCH3}$
b$\ce{CH3COOH}$
cHCHO
d$\ce{CH3COOCH2CH3}$

Answer (b): Acidified dichromate oxidises a primary alcohol through acetaldehyde on to acetic acid.

Revise: Alcohols (Class 12 notes)

Q69Nomenclature

IUPAC name of formic acid is

aethanoic acid
bpropanoic acid
cmethanoic acid
dbutanoic acid

Answer (c): Formic acid HCOOH has one carbon, so it is methanoic acid.

Revise: Carboxylic Acids (Class 12 notes)

Q70Aldehydes tests

Ammonical silver nitrate solution is known as

aBaeyer's reagent
bSchiff's reagent
cFehling's solution
dTollen's reagent

Answer (d): Ammoniacal silver nitrate is Tollens' reagent, used to detect aldehydes.

Revise: Aldehydes and Ketones (Class 12 notes)

Q71Nitro compounds

The reduction of nitrobenzene in neutral medium gives

aphenyl hydroxylamine
baniline
chydrazobenzene
dall of the above

Answer (a): With $Zn/NH_4Cl$ (neutral medium), nitrobenzene gives N-phenylhydroxylamine.

Revise: Nitro Compounds (Class 12 notes)

Q72Organometallic compounds

The reaction of ketone with Grignard's reagent gives

aprimary alcohol
btertiary alcohol
csecondary alcohol
dcarboxylic acid

Answer (b): A Grignard reagent adds to a ketone C=O and hydrolysis gives a tertiary alcohol.

Revise: Organometallic Compounds (Class 12 notes)

Q73Volumetric analysis

Which of the followings is not a primary standard substance?

a$\ce{(COOH)2}$
b$\ce{K2Cr2O7}$
c$\ce{KMnO4}$
dNaCl

Answer (c): KMnO4 is impure, decomposes and is not stable in solution, so it is a secondary standard.

Revise: Volumetric Analysis (Class 12 notes)

Q74Chemical kinetics

The factor which does not influence the rate of reaction is

aconcentration
btemperature
cnature of reactants
dmolecularity

Answer (d): Rate depends on concentration, temperature and the nature of reactants; molecularity only describes the elementary step.

Revise: Chemical Kinetics (Class 12 notes)

Q75Thermodynamic properties

An intensive property is

adensity
bmass
cvolume
denthalpy

Answer (a): Density is a ratio and does not depend on the amount of matter, so it is intensive. Mass, volume and enthalpy are extensive.

Revise: Chemical Thermodynamic (Class 12 notes)

English

Q76Synonyms

Pick out the word or group of words which has nearly the same meaning as the word "predicament".

amodest
bignorance
cfuture
dquandary

Answer (d): A predicament is a difficult or confusing situation, which is a quandary.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q77Synonyms

Pick out the word or group of words which has nearly the same meaning as the word "preferment".

ademotion
bpreference
cpromotion
drectify

Answer (c): Preferment means advancement to a higher position, i.e. promotion.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q78Synonyms

Pick out the word or group of words which has nearly the same meaning as the word "gainsay".

asave
bdeny
ccomment
dpunish

Answer (b): To gainsay is to deny or contradict.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q79Antonyms

Pick out the word or group of words which has nearly the opposite meaning as the word "morbid".

ahealthy
bhappy
csick
dpassive

Answer (a): Morbid means unhealthy or diseased, so the opposite is healthy.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q80Antonyms

Pick out the word or group of words which has nearly the opposite meaning as the word "esteem".

ahonour
binsult
chappy
dpardon

Answer (b): Esteem means respect, and the opposite is disrespect or insult.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q81One-word substitution

Choose a correct single word for the expression "belief that God is unknowable".

aatheism
bmonism
cagnosticism
dnihilism

Answer (c): An agnostic holds that the existence of God cannot be known.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q82One-word substitution

Choose a correct single word for the expression "false reasoning intended to deceive".

aPluralism
bhedonism
cpacifism
dsophism

Answer (d): Sophism is clever but false argument meant to deceive.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q83Phrasal verbs

Pick up the correct phrasal verb for the expression "I ..... because I wasn't sure of the way he would react".

ahold back
bhold on
chold off
dhold out

Answer (a): Hold back means hesitate or restrain oneself, fitting the uncertainty.

Revise: Grammar and Usage (Class 11 notes)

Q84Phrasal verbs

Pick up the correct phrasal verb for the expression "I told the children to take their football and... ".

aclear up
bclear off
cclear in
dclear out

Answer (b): 'Clear off' means go away, which fits telling children to take their football and leave.

Revise: Grammar and Usage (Class 11 notes)

Q85Prepositions

Pick out most appropriate preposition/s to fill up the blanks. "The defeated warrior surrendered...the enemy and waited...the verdict".

awith, for
bto, for
cin, on
dfrom, for

Answer (b): We surrender to someone and wait for something.

Revise: Grammar and Usage (Class 11 notes)

Q86Prepositions

Pick out most appropriate preposition/s to fill up the blanks. "Engineers proceed... one site to another ...quick supervision and attend business".

afor, for
bto, on
cfrom, for
don, on

Answer (c): The phrase is proceed from one site to another for quick supervision: from, for.

Revise: Grammar and Usage (Class 11 notes)

Q87Prepositions

Pick out most appropriate preposition/s to fill up the blanks. "everybody winks ...one's fault and laughs... others errors".

aon, at
bon, on
cat, for
dat, at

Answer (d): The idiom 'wink at' means to pretend not to see a fault, and one 'laughs at' others' errors, so the answer is at, at.

Revise: Grammar and Usage (Class 11 notes)

Q88Idioms

Give appropriate meaning of the idiomatic expression "to carry the day".

ato be victorious
bto feel shame
cto speak truth
dto stop work

Answer (a): To carry the day means to win or be victorious.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q89Word stress

The word "prosecution" gets its prime stress on :

a3rd syllable
b2nd syllable
c4th syllable
d1st syllable

Answer (a): Pro-se-CU-tion takes the primary stress on the third syllable.

Revise: Grammar and Usage (Class 11 notes)

Q90Conditionals

Find appropriate conditional expression to fill up the blank space in "we will follow him ...he would drive more slowly".

ain case
beven if
cif only
dbut for

Answer (b): Even if expresses concession: we will follow him even if he drives more slowly.

Revise: Grammar and Usage (Class 11 notes)

Computer

Q91Artificial intelligence

What does the acronym 'GPT' stand for in ChatGPT?

aGenerative Pre-trained Transformer
bGlobal Policy Tracker
cGraphical Information Technology
dGeneral Purpose Tool

Answer (a): GPT stands for Generative Pre-trained Transformer.

Revise: Recent Trends in ICT (Class 12 notes)

Q92Operating systems

What type of operating system MS-DOS is?

aCommand Line Interface
bGraphical User Interface
cMultitasking
dMenu Driven Interface

Answer (a): MS-DOS accepts typed commands and has no graphical interface.

Revise: Computer Software and Operating System (Class 11 notes)

Q93Computer hardware terms

What is the full form of VGA?

aVideo Graphics Array
bVisual Graphics Array
cVolatile Graphics Array
dVideo Graphics Adapter

Answer (a): VGA is the Video Graphics Array display standard.

Revise: Computer System (Class 11 notes)

Q94Artificial intelligence

Which of the following is the common language for Artificial Intelligence?

aPython
bJava
cJulia
dScala

Answer (a): Python is the most widely used AI language thanks to libraries like TensorFlow and PyTorch.

Revise: Recent Trends in ICT (Class 12 notes)

Q95Applications of AI

For what purpose AI is used in Chandrayaan-3?

aData analysis during the launch
bLanding safely on the moon's surface
cMaintaining the power
dProgramming

Answer (b): Autonomous hazard detection and navigation helped the lander touch down safely.

Revise: Recent Trends in ICT (Class 12 notes)

Q96Networking devices

Which of the following devices is used in the network layer?

aApplication Gateway
bSwitch
cRouter
dReapers

Answer (c): A router forwards packets using IP addresses at the network layer.

Revise: Concept of Network and Data Communication (Class 12 notes)

Q97Units of memory

How many bytes does 4 kilobytes represent?

a512
b1024
c4096
d8192

Answer (c): $4\times1024=4096$ bytes.

Revise: Computer System (Class 11 notes)

Q98Number systems

Which of the following values is the correct value of this binary code 1011 and 1111?

a11 and 14
b12 and 15
c11 and 15
d12 and 14

Answer (c): $1011_2=8+2+1=11$ and $1111_2=8+4+2+1=15$.

Revise: Number System and Boolean Logic (Class 11 notes)

Q99File extensions

What is the ".BAT" extension?

aSystem file
bBackup file
cStorage file
dNone of these

Answer (d): A .BAT file is a batch (script) file, which is not a system, backup or storage file, so none of the options applies.

Revise: Computer Software and Operating System (Class 11 notes)

Q100Computer viruses

Identify the first computer virus among the following.

aBlaster
bCripper
cSasser
dMydoom

Answer (b): Creeper (1971, written here as Cripper) is the earliest of these; Blaster, Sasser and Mydoom came decades later.

Revise: Information Security and Cyber Law (Class 11 notes)

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Mathematics

Q2Absolute value equations

|x-5|=7

, then

x=

If $|x-5|=7$, then $x=$

a $\{12,-2\}$ ${12,-2}$
b $[-2,12]$ $[-2,12]$
c $(-2,12)$ $(-2,12)$
dnone

Answer (a): $|x-5|=7$ gives $x-5=7$ or $x-5=-7$ , so $x=12$ or $x=-2$ .$|x-5|=7$ gives $x-5=7$ or $x-5=-7$, so $x=12$ or $x=-2$.

Revise: Algebra (Class 11 notes)

Q3Inverse functions

f(x)=3x-2

for

x\in R

, then

f^{-1}(7)=

If $f(x)=3x-2$ for $x\in R$, then $f^{-1}(7)=$

a0
b1
c3
d $-2$

Answer (c): $f^{-1}(7)=a$ means $f(a)=7$ , so $3a-2=7$ and $a=3$ .$f^{-1}(7)=a$ means $f(a)=7$, so $3a-2=7$ and $a=3$.

Revise: Algebra (Class 11 notes)

Q4Domain and range

The range of the function

f(x)=\sqrt{x-3}

isThe range of the function $f(x)=\sqrt{x-3}$ is

a $(-\infty,0)$ $(-\infty,0)$
b $[0,\infty)$ $[0,\infty)$
c $[3,\infty)$ $[3,\infty)$
d $(3,\infty)$ $(3,\infty)$

Answer (b): A square root is never negative and takes every value from $0$ upward as $x\ge 3$ increases, so the range is $[0,\infty)$ .A square root is never negative and takes every value from $0$ upward as $x\ge 3$ increases, so the range is $[0,\infty)$.

Revise: Algebra (Class 11 notes)

Q5Even and odd functions

The function

f(x)=x^4+5

is symmetrical aboutThe function $f(x)=x^4+5$ is symmetrical about

aorigin
bx-axis
cboth x and y axes
dy-axis

Answer (d): $f(-x)=(-x)^4+5=f(x)$ , so the function is even and its graph is symmetric about the y-axis.$f(-x)=(-x)^4+5=f(x)$, so the function is even and its graph is symmetric about the y-axis.

Revise: Algebra (Class 11 notes)

Q6Geometric series

If a, b, c, d... are in G.S., then

1/a, 1/b, 1/c, 1/d

are inIf a, b, c, d... are in G.S., then $1/a, 1/b, 1/c, 1/d$ are in

aG.S.
bH.S.
cA.S.
dnone

Answer (a): If the common ratio of a, b, c is $r$ , the reciprocals have common ratio $1/r$ , so they are again in geometric series.If the common ratio of a, b, c is $r$, the reciprocals have common ratio $1/r$, so they are again in geometric series.

Revise: Algebra (Class 11 notes)

Q7Matrix inverse

A=\begin{pmatrix}2&5\\3&7\end{pmatrix}

, then

A^{-1}=

If $A=\begin{pmatrix}2&5\3&7\end{pmatrix}$, then $A^{-1}=$

a $\begin{pmatrix}-2&-5\\-3&-7\end{pmatrix}$ $\begin{pmatrix}-2&-5\-3&-7\end{pmatrix}$
b $\begin{pmatrix}7&-5\\-3&2\end{pmatrix}$ $\begin{pmatrix}7&-5\-3&2\end{pmatrix}$
c $\begin{pmatrix}-7&5\\3&-2\end{pmatrix}$ $\begin{pmatrix}-7&5\3&-2\end{pmatrix}$
d $\frac{1}{\begin{vmatrix}2&5\\3&7\end{vmatrix}}$ $\frac{1}{\begin{vmatrix}2&5\3&7\end{vmatrix}}$

Answer (c): $|A|=14-15=-1$ , and $A^{-1}=\frac{1}{-1}\begin{pmatrix}7&-5\\-3&2\end{pmatrix}=\begin{pmatrix}-7&5\\3&-2\end{pmatrix}$ .$|A|=14-15=-1$, and $A^{-1}=\frac{1}{-1}\begin{pmatrix}7&-5\-3&2\end{pmatrix}=\begin{pmatrix}-7&5\3&-2\end{pmatrix}$.

Revise: Algebra (Class 11 notes)

Q8Types of matrices

If A is a square matrix, then the matrix

A+A^T

isIf A is a square matrix, then the matrix $A+A^T$ is

asquare
bsymmetric
cdiagonal
dskew symmetric

Answer (b): $(A+A^T)^T=A^T+A=A+A^T$ , so it is symmetric (it is also square, but symmetric is the specific property).$(A+A^T)^T=A^T+A=A+A^T$, so it is symmetric (it is also square, but symmetric is the specific property).

Revise: Algebra (Class 11 notes)

Q9Quadratic equations

If one root of a quadratic equation is

\frac{1}{3+\sqrt5}

, then the quadratic equation isIf one root of a quadratic equation is $\frac{1}{3+\sqrt5}$, then the quadratic equation is

a $x^2-6x+1=0$ $x^2-6x+1=0$
b $x^2-6x-1=0$ $x^2-6x-1=0$
c $4x^2-6x-1=0$ $4x^2-6x-1=0$
d $4x^2-6x+1=0$ $4x^2-6x+1=0$

Answer (d): The root is $\frac{3-\sqrt5}{4}$ , so the other is $\frac{3+\sqrt5}{4}$ . Sum $=\frac32$ , product $=\frac14$ , giving $x^2-\frac32x+\frac14=0$ , i.e. $4x^2-6x+1=0$ .The root is $\frac{3-\sqrt5}{4}$, so the other is $\frac{3+\sqrt5}{4}$. Sum $=\frac32$, product $=\frac14$, giving $x^2-\frac32x+\frac14=0$, i.e. $4x^2-6x+1=0$.

Revise: Algebra (Class 11 notes)

Q10Complex numbers

The least positive integer

k

which will reduce

\left(\frac{i-1}{i+1}\right)^k

to a real number isThe least positive integer $k$ which will reduce $\left(\frac{i-1}{i+1}\right)^k$ to a real number is

Answer (a): $\frac{i-1}{i+1}=\frac{(i-1)(1-i)}{(1+i)(1-i)}=\frac{2i}{2}=i$ . $i^1=i$ is not real but $i^2=-1$ is real, so $k=2$ .$\frac{i-1}{i+1}=\frac{(i-1)(1-i)}{(1+i)(1-i)}=\frac{2i}{2}=i$. $i^1=i$ is not real but $i^2=-1$ is real, so $k=2$.

Revise: Algebra (Class 11 notes)

Q11Inverse trigonometric functions

\tan^{-1}2x+\tan^{-1}3x=\pi/4

, then

x=

If $\tan^{-1}2x+\tan^{-1}3x=\pi/4$, then $x=$

a $1/6,2$ $1/6,2$
b $1/6,-1$ $1/6,-1$
c $0,1$ $0,1$
d $1/6,0$ $1/6,0$

Answer (b): Taking tangent: $\frac{5x}{1-6x^2}=1$ , so $6x^2+5x-1=0$ , giving $x=\frac16$ or $x=-1$ . Only $x=1/6$ truly satisfies it, but option b is the only one listing $1/6$ with the quadratic's other root.Taking tangent: $\frac{5x}{1-6x^2}=1$, so $6x^2+5x-1=0$, giving $x=\frac16$ or $x=-1$. Only $x=1/6$ truly satisfies it, but option b is the only one listing $1/6$ with the quadratic's other root.

Revise: Trigonometry (Class 11 notes)

Q12Trigonometric equations

\sin^2x=1/2

, then for

n\in Z

x=

If $\sin^2x=1/2$, then for $n\in Z$, $x=$

a $n\pi\pm\pi/4$ $n\pi\pm\pi/4$
b $n\pi\pm\pi/3$ $n\pi\pm\pi/3$
c $n\pi\pm\pi/4$ $n\pi\pm\pi/4$
d $n\pi+(-1)^n\pi/4$ $n\pi+(-1)^n\pi/4$

Answer (a): $\sin^2x=\sin^2(\pi/4)$ has general solution $x=n\pi\pm\pi/4$ .$\sin^2x=\sin^2(\pi/4)$ has general solution $x=n\pi\pm\pi/4$.

Revise: Trigonometry (Class 11 notes)

Q13Distance from a point to a line

The points on the y-axis at distance of

\sqrt2

units from the line

x+y=1

, areThe points on the y-axis at distance of $\sqrt2$ units from the line $x+y=1$, are

a $(0,-1)$ and $(0,-3)$ $(0,-1)$ and $(0,-3)$
b $(0,1)$ and $(0,-3)$ $(0,1)$ and $(0,-3)$
c $(0,1)$ and $(0,3)$ $(0,1)$ and $(0,3)$
d $(0,-1)$ and $(0,3)$ $(0,-1)$ and $(0,3)$

Answer (d): For $(0,y)$ : $\frac{|y-1|}{\sqrt2}=\sqrt2$ , so $|y-1|=2$ and $y=3$ or $y=-1$ .For $(0,y)$: $\frac{|y-1|}{\sqrt2}=\sqrt2$, so $|y-1|=2$ and $y=3$ or $y=-1$.

Revise: Analytic geometry (Class 11 notes)

Q14Pair of straight lines

The equation

kx^2+xy-y^2+2x-y=0

represents a pair of lines if

k=

The equation $kx^2+xy-y^2+2x-y=0$ represents a pair of lines if $k=$

a0
b2
c1
dnone

Answer (b): Using $abc+2fgh-af^2-bg^2-ch^2=0$ with $a=k,b=-1,c=0,h=\frac12,g=1,f=-\frac12$ : $-\frac12-\frac k4+1=0$ , so $k=2$ .Using $abc+2fgh-af^2-bg^2-ch^2=0$ with $a=k,b=-1,c=0,h=\frac12,g=1,f=-\frac12$: $-\frac12-\frac k4+1=0$, so $k=2$.

Revise: Analytic geometry (Class 11 notes)

Q15Direction cosines

If the direction cosines of a line are 2, 3, -6, then its direction cosines are;

a $\frac27,\frac{-3}{7},\frac{-6}{7}$ $\frac27,\frac{-3}{7},\frac{-6}{7}$
b $\frac{-2}{7},\frac37,\frac{-6}{7}$ $\frac{-2}{7},\frac37,\frac{-6}{7}$
c $\frac{-2}{7},\frac{-3}{7},\frac{-6}{7}$ $\frac{-2}{7},\frac{-3}{7},\frac{-6}{7}$
d $\frac27,\frac37,\frac{-6}{7}$ $\frac27,\frac37,\frac{-6}{7}$

Answer (d): The question means direction ratios $2,3,-6$ . Divide by $\sqrt{4+9+36}=7$ to get $\frac27,\frac37,-\frac67$ .The question means direction ratios $2,3,-6$. Divide by $\sqrt{4+9+36}=7$ to get $\frac27,\frac37,-\frac67$.

Revise: Analytic geometry (Class 12 notes)

Q16Linear independence of vectors

If the three non zero vectors

\mathbf p,\mathbf q,\mathbf r

are expressed as

x\mathbf p+y\mathbf q+z\mathbf r=0

and x, y, z are scalars then the vectors are linearly independent ifIf the three non zero vectors $\mathbf p,\mathbf q,\mathbf r$ are expressed as $x\mathbf p+y\mathbf q+z\mathbf r=0$ and x, y, z are scalars then the vectors are linearly independent if

a $x\ne0,y\ne0,z\ne0$ $x\ne0,y\ne0,z\ne0$
b $x=0,y\ne0,z\ne0$ $x=0,y\ne0,z\ne0$
c $x=0,y=0,z=0$ $x=0,y=0,z=0$
dnone

Answer (c): Vectors are linearly independent exactly when the only solution of the relation is the trivial one, x = y = z = 0.

Revise: Vectors (Class 11 notes)

Q17Probability

While two dice are thrown, the probability of getting the sum less than four is

a1/18
b1/12
c1/6
d1/9

Answer (b): Sum 2 has 1 way and sum 3 has 2 ways, so 3 favourable of 36 outcomes: 3/36 = 1/12.

Revise: Statistics and Probability (Class 11 notes)

Q18Limits

\lim_{x\to0}\frac{\tan x+4x}{x}=

$\lim_{x\to0}\frac{\tan x+4x}{x}=$

a5
b0/0
c4
d1

Answer (a): $\lim\frac{\tan x+4x}{x}=\lim\frac{\tan x}{x}+4=1+4=5$ .$\lim\frac{\tan x+4x}{x}=\lim\frac{\tan x}{x}+4=1+4=5$.

Revise: Calculus (Class 11 notes)

Q19Differentiation

y=\log_e e^{\sin(3x^2)}

, then

\frac{dy}{dx}=

If $y=\log_e e^{\sin(3x^2)}$, then $\frac{dy}{dx}=$

a $\log_e e^{\sin(3x^2)}$ $\log_e e^{\sin(3x^2)}$
b $e^{\sin(3x^2)}$ $e^{\sin(3x^2)}$
c $6x\sin(3x^2)$ $6x\sin(3x^2)$
d $6x\cos3x^2$ $6x\cos3x^2$

Answer (d): $y=\sin(3x^2)$ , so $\frac{dy}{dx}=\cos(3x^2)\cdot6x=6x\cos3x^2$ .$y=\sin(3x^2)$, so $\frac{dy}{dx}=\cos(3x^2)\cdot6x=6x\cos3x^2$.

Revise: Calculus (Class 11 notes)

Q20Points of inflection

The points of inflection of the curve

x^4-6x^2+8x

are:The points of inflection of the curve $x^4-6x^2+8x$ are:

a $1,2$ $1,2$
b $2,-1$ $2,-1$
c $1,-1$ $1,-1$
d $0,1$ $0,1$

Answer (c): $y''=12x^2-12=0$ gives $x=\pm1$ , and $y''$ changes sign at both, so the inflection abscissas are $1,-1$ .$y''=12x^2-12=0$ gives $x=\pm1$, and $y''$ changes sign at both, so the inflection abscissas are $1,-1$.

Revise: Calculus (Class 11 notes)

Q21Definite integrals

\int_0^{\pi/2}\cos x\,e^{\sin x}\,dx=

$\int_0^{\pi/2}\cos x,e^{\sin x},dx=$

a $e-1$ $e-1$
b $e$
c $e+1$ $e+1$
d1

Answer (a): Put $t=\sin x$ : $\int_0^1e^t\,dt=e-1$ .Put $t=\sin x$: $\int_0^1e^t,dt=e-1$.

Revise: Calculus (Class 11 notes)

Q23Roots of equations

The function

f(x)=x^2+x-4

defined in

[1,4]

hasThe function $f(x)=x^2+x-4$ defined in $[1,4]$ has

aroots
bno roots
cone root
dnone

Answer (c): $f(1)=-2<0$ and $f(4)=16>0$ , so a root lies in $(1,4)$ ; $f$ is increasing there, so exactly one root.$f(1)=-2<0$ and $f(4)=16>0$, so a root lies in $(1,4)$; $f$ is increasing there, so exactly one root.

Revise: Computational methods (Class 11 notes)

Q24Resolution of forces

If a force of 10N is inclined 45 degrees to the horizon, then resolved part of the force in vertical direction is

a5N
b $\sqrt2N$ $\sqrt2N$
c $5\sqrt2\,N$ $5\sqrt2,N$
d10N

Answer (c): Vertical component $=10\sin45^\circ=10\times\frac{1}{\sqrt2}=5\sqrt2\,N$ .Vertical component $=10\sin45^\circ=10\times\frac{1}{\sqrt2}=5\sqrt2,N$.

Revise: Mechanics (Class 11 notes)

Q25Motion on an inclined plane

A ball is projected up an inclined plane with a velocity of

20\,m/sec

. If the inclination of the plane to the horizontal is

30^\circ

and acceleration due to gravity is

10\,m/sec^2

, then the length described before coming to rest isA ball is projected up an inclined plane with a velocity of $20,m/sec$. If the inclination of the plane to the horizontal is $30^\circ$ and acceleration due to gravity is $10,m/sec^2$, then the length described before coming to rest is

a $20\,m$ $20,m$
b $30\,m$ $30,m$
c $200\,m$ $200,m$
d $40\,m$ $40,m$

Answer (d): Deceleration along the plane is $g\sin30^\circ=5\,m/s^2$ . Distance is $\frac{v^2}{2a}=\frac{400}{10}=40$ m.Deceleration along the plane is $g\sin30^\circ=5,m/s^2$. Distance is $\frac{v^2}{2a}=\frac{400}{10}=40$ m.

Revise: Mechanics (Class 11 notes)

Physics

Q26Units and dimensions

Joule x second is the unit of

aEnergy
bMomentum
cAngular momentum
dPower

Answer (c): $J\,s=(kg\,m^2s^{-2})\,s=kg\,m^2s^{-1}$ , the unit of angular momentum (and of Planck's constant).$J,s=(kg,m^2s^{-2}),s=kg,m^2s^{-1}$, the unit of angular momentum (and of Planck's constant).

Revise: Physical Quantities (Class 11 notes)

Q27Magnetic force on a moving charge

In equation

\vec F=q(\vec v\times\vec B)

the quantity

\vec F

isIn equation $\vec F=q(\vec v\times\vec B)$ the quantity $\vec F$ is

aPerpendicular to $\vec v$ onlyPerpendicular to $\vec v$ only
bPerpendicular to $\vec B$ onlyPerpendicular to $\vec B$ only
cPerpendicular to both $\vec v$ and $\vec B$ Perpendicular to both $\vec v$ and $\vec B$
dPerpendicular to q and $\vec B$ Perpendicular to q and $\vec B$

Answer (c): A cross product is perpendicular to both of the vectors that form it.

Revise: Magnetic Field (Class 12 notes)

Q28Vertical projectile motion

Two balls of the same mass are shot upwards one after another at an interval of 2 seconds along the same vertical line with the same initial velocity of

40\,m/s

. They will collide at a height ofTwo balls of the same mass are shot upwards one after another at an interval of 2 seconds along the same vertical line with the same initial velocity of $40,m/s$. They will collide at a height of

a $75\,m$ $75,m$
b $80\,m$ $80,m$
c $30\,m$ $30,m$
d $45\,m$ $45,m$

Answer (a): If the first ball is at time $t$ and the second at $t-2$ , equal heights give $40t-5t^2=40(t-2)-5(t-2)^2$ , so $t=5$ s. Height $=200-125=75$ m.If the first ball is at time $t$ and the second at $t-2$, equal heights give $40t-5t^2=40(t-2)-5(t-2)^2$, so $t=5$ s. Height $=200-125=75$ m.

Revise: Kinematics (Class 11 notes)

Q29Projectile motion

A cricket ball is hit at

45^\circ

to horizontal with a kinetic energy

K

. The kinetic energy of ball at highest point of path isA cricket ball is hit at $45^\circ$ to horizontal with a kinetic energy $K$. The kinetic energy of ball at highest point of path is

a0
b $K/2$ $K/2$
c $\frac{K}{\sqrt2}$ $\frac{K}{\sqrt2}$
dK

Answer (b): At the top only the horizontal velocity $u\cos45^\circ$ remains, so KE $=K\cos^2 45^\circ=K/2$ .At the top only the horizontal velocity $u\cos45^\circ$ remains, so KE $=K\cos^2 45^\circ=K/2$.

Revise: Kinematics (Class 11 notes)

Q30Friction

The maximum value of static friction is called

aRolling friction
bLimiting friction
cMaximum friction
dDynamic friction

Answer (b): The largest static friction, just before motion begins, is called limiting friction.

Revise: Dynamics (Class 11 notes)

Q31Current affairs: Chandrayaan-3

India has become the first country to successfully land a spacecraft Chandrayaan-3 near the south pole of the Moon. Its rover has confirmed the presence of

aOxygen and Sulphur
bHydrogen and Oxygen
cSulphur and Nitrogen
dNitrogen and Water

Answer (a): The Pragyan rover's LIBS instrument confirmed sulphur along with other elements such as aluminium, calcium, iron and oxygen.

Q32Floating bodies

A girl is sitting in a boat which is floating in Fewa Lake. If she drinks water from the lake, the level of water in the lake will be

aIncreased
bDecreased
cRemain unchanged
dMay increase or decrease depending upon the weight of the girl

Answer (c): The water she drinks adds its weight to the floating boat, which then displaces exactly that much extra water, so the lake level is unchanged.

Revise: Fluid Statics (Class 12 notes)

Q33Thermal expansion

Fire alarm work on the principle of

aVolume expansion of solid
bVolume expansion of water
cVolume expansion of gas
dBimetallic bar which become curve on heating

Answer (d): A bimetallic strip bends when heated because its two metals expand unequally, closing the alarm circuit.

Revise: Thermal Expansion (Class 11 notes)

Q34Humidity

During 5-12 September 2023, temperature at noon is recorded the same at the base camp of Mount Everest. A climber feels hottest when the relative humidity is

a99%
b50%
c30%
d10%

Answer (a): High humidity slows evaporation of sweat, so cooling is poor and the body feels hottest at 99%.

Revise: Heat and Temperature (Class 11 notes)

Q35Refraction at a plane surface

a1.33
b1.50
c1.62
d1.80

Answer (b): Plate thickness $t=1+2=3$ . Apparent shift of the mark is $t(1-\frac1\mu)=1$ , so $1-\frac1\mu=\frac13$ and $\mu=1.5$ .Plate thickness $t=1+2=3$. Apparent shift of the mark is $t(1-\frac1\mu)=1$, so $1-\frac1\mu=\frac13$ and $\mu=1.5$.

Revise: Refraction at Plane Surface (Class 11 notes)

Q36Lenses

Decrease in aperture of a lens changes

aPosition of the image
bSize of the image
cIntensity of the image
dBoth position and size of the image

Answer (c): Reducing the aperture cuts the light collected, so the image becomes dimmer while its position and size stay the same.

Revise: Lenses (Class 11 notes)

Q37Mechanical waves

Sound travels in rocks in the form of

aLongitudinal elastic wave
bTransverse elastic wave
cBoth longitudinal and transverse elastic waves
dStationary wave

Answer (c): Solids can support shear, so both longitudinal and transverse waves travel through rock.

Revise: Mechanical Waves (Class 12 notes)

Q38Capacitance of a sphere

If radii of a solid and hollow sphere are same. Which can hold greater number of charges?

aSolid sphere
bHollow sphere
cBoth will hold equal charges
dCharge storing capacity depends upon surface temperature

Answer (c): Charge sits on the outer surface and capacitance $C=4\pi\varepsilon_0R$ depends only on the radius, so both hold equal charge.Charge sits on the outer surface and capacitance $C=4\pi\varepsilon_0R$ depends only on the radius, so both hold equal charge.

Revise: Capacitor (Class 11 notes)

Q39Grouping of cells

To draw maximum current from a combination of cells, the cells be grouped as

aseries
bparallel
cmixed
dboth (a) and (b).

Answer (c): Maximum current needs external resistance matched to the internal resistance of the bank, which is generally achieved by a mixed grouping.

Revise: Electrical Circuit One (Class 12 notes)

Q40Force between parallel currents

Two parallel wires carrying currents in the same direction attract each other because of

aPotential difference between them
bMutual inductance between them
cElectric forces between them
dMagnetic forces between them

Answer (d): Each wire sits in the magnetic field of the other, and same-direction currents give an attractive magnetic force.

Revise: Magnetic Field (Class 12 notes)

Q41Self-inductance

An emf of 2 volt is produced in a coil when current changes at steady rate from 3 to 2 amperes in 1 milli-second. The value of self-inductance is

a0
b $2\,mH$ $2,mH$
c $20\,mH$ $20,mH$
d $2\,H$ $2,H$

Answer (b): $L=\frac{\varepsilon}{|dI/dt|}=\frac{2}{1/10^{-3}}=2\times10^{-3}\,H=2\,mH$ .$L=\frac{\varepsilon}{|dI/dt|}=\frac{2}{1/10^{-3}}=2\times10^{-3},H=2,mH$.

Revise: Electromagnetic Induction (Class 12 notes)

Q42LCR circuits

a130 volts
b70 volts
c50 volts
d10 volts

Answer (c): $V=\sqrt{V_R^2+(V_L-V_C)^2}=\sqrt{40^2+30^2}=50\,V$ .$V=\sqrt{V_R^2+(V_L-V_C)^2}=\sqrt{40^2+30^2}=50,V$.

Revise: Alternating Currents (Class 12 notes)

Q43Earth's magnetism

The magnetic field of Earth is due to

aMotion and distribution of materials in and around the Earth
bInteraction between cosmic rays and surface of the Earth
cA strong magnetic dipole is believed to be buried at the center of the Earth
dStrong induction effect of the Sun

Answer (a): The field is attributed to electric currents from the motion of molten conducting material in the outer core (dynamo effect). Of the options, the first is the closest.

Revise: Magnetic Properties of Materials (Class 12 notes)

Q44Motion of charge in magnetic field

A free charged particle moves through a magnetic field. The particle may undergo a change in

aspeed
benergy
cpressure
ddirection of motion

Answer (d): Magnetic force is perpendicular to velocity, so it does no work: speed and energy stay fixed, only direction changes.

Revise: Magnetic Field (Class 12 notes)

Q45Bohr model

The speed of electron in first Bohr orbit of Hydrogen atom is

v

. The speed of electron in the first excited state of doubly ionized Lithium atom isThe speed of electron in first Bohr orbit of Hydrogen atom is $v$. The speed of electron in the first excited state of doubly ionized Lithium atom is

a $v/2$ $v/2$
b $v$
c $1.5v$
d $2v$

Answer (c): Speed $\propto Z/n$ . For $Li^{2+}$ , $Z=3$ and first excited state $n=2$ : $v'=v\cdot\frac32=1.5v$ .Speed $\propto Z/n$. For $Li^{2+}$, $Z=3$ and first excited state $n=2$: $v'=v\cdot\frac32=1.5v$.

Revise: Quantization of Energy (Class 12 notes)

Q46General awareness: nuclear physics

What is nuclear 'holocaust'?

aFormation of a nuclear bomb
bFormation of nuclear reactor
cMaking hole in the nuclear shielding layer
dAfter math of a nuclear explosion

Answer (d): A nuclear holocaust means the widespread destruction and aftermath following nuclear explosions.

Revise: Nuclear Physics (Class 11 notes)

Q47General awareness

Oppenheimer is a 2023 biographical drama film written and directed by Christopher Nolan and starring Cillian Murphy as J. Robert Oppenheimer a physicist. His scientific contribution is

aNuclear Reactor Physics
bAK-47 Rifle
cBullet Dynamics
dDesign of Atom Bomb

Answer (d): Oppenheimer led the Los Alamos laboratory that designed the atomic bomb in the Manhattan Project.

Q48Radioactive decay

A GM counter gives

82\,counts/sec

. After

210\,seconds

the count rate decreased to

19\,counts/sec

. The background count is

10\,counts/sec

, then the half life of the source isA GM counter gives $82,counts/sec$. After $210,seconds$ the count rate decreased to $19,counts/sec$. The background count is $10,counts/sec$, then the half life of the source is

a $40\,s$ $40,s$
b $70\,s$ $70,s$
c $105\,s$ $105,s$
d $210\,s$ $210,s$

Answer (b): Net rates: $82-10=72$ and $19-10=9$ . $72/9=8=2^3$ , so 3 half-lives in $210\,s$ , giving $T_{1/2}=70\,s$ .Net rates: $82-10=72$ and $19-10=9$. $72/9=8=2^3$, so 3 half-lives in $210,s$, giving $T_{1/2}=70,s$.

Revise: Radioactivity and Nuclear Reaction (Class 12 notes)

Q49Logic gates

The truth table given below is for: [Table: A=0,B=0 gives Y=0; A=0,B=1 gives Y=0; A=1,B=0 gives Y=0; A=1,B=1 gives Y=1]

aNOT gate
bOR gate
cNOR gate
dAND gate

Answer (d): The output is 1 only when both inputs are 1, which is the AND operation.

Revise: Semiconductor Devices (Class 12 notes)

Q50Transistors

NPN transistors are preferred to PNP transistors because they have

aLow cost
bLow dissipation of energy
cCapable of handling larger power
dElectrons have high mobility than holes and hence high mobility of energy

Answer (d): In an NPN transistor the majority carriers are electrons, which have higher mobility than holes, giving better response.

Revise: Semiconductor Devices (Class 12 notes)

Chemistry

Q51Laws of chemical combination

The law of conservation of mass was developed by

aAntoine Laurent de Lavoisier
bJoseph Louis Proust
cJohn Dalton
dNiels Bohr

Answer (a): Lavoisier showed that mass is neither created nor destroyed in a chemical reaction.

Revise: Stoichiometry (Class 11 notes)

Q52Electronic configuration

The actual electronic configuration of copper is

a $[Ar]3d^94s^2$ $[Ar]3d^94s^2$
b $[Ar]3d^{10}4s^1$ $[Ar]3d^{10}4s^1$
c $[Ar]3d^84s^2$ $[Ar]3d^84s^2$
d $[Ar]3d^74s^2$ $[Ar]3d^74s^2$

Answer (b): A filled 3d subshell is extra stable, so one 4s electron moves to 3d: [Ar] 3d10 4s1.

Revise: Atomic Structure (Class 11 notes)

Q53Periodic properties

The most electronegative element in the periodic table is

achlorine
boxygen
cfluorine
dnitrogen

Answer (c): Fluorine has the highest electronegativity (4.0 on the Pauling scale).

Revise: Classification of Elements (Class 11 notes)

Q54Molecular shapes

The shape of

NH_3

molecule isThe shape of $NH_3$ molecule is

asquare planar
blinear
ctetrahedral
dpyramidal

Answer (d): Nitrogen has three bond pairs and one lone pair (sp3), giving a pyramidal shape.

Revise: Chemical Bonding (Class 11 notes)

Q55Hydrated salts

The number of water molecules associated with copper sulphate is

Answer (a): Blue vitriol is $\ce{CuSO4.5H2O}$ .Blue vitriol is $\ce{CuSO4.5H2O}$.

Revise: Chemistry of Metals (Class 11 notes)

Q56Alloys

Brass is a/an

ametalloid
balloy
cnon-metal
dalkali metal

Answer (b): Brass is an alloy of copper and zinc.

Revise: Chemistry of Metals (Class 11 notes)

Q57Tests for anions

The compound formed during the ring test for nitrate is

a $\ce{FeSO4.NO2}$ $\ce{FeSO4.NO2}$
b $\ce{Fe(NO3)3}$ $\ce{Fe(NO3)3}$
c $\ce{FeSO4.NO}$ $\ce{FeSO4.NO}$
d $\ce{Fe(NO3)2}$ $\ce{Fe(NO3)2}$

Answer (c): Nitrate is reduced to $NO$ by $FeSO_4$ and conc. $H_2SO_4$ ; $NO$ combines with $FeSO_4$ to give the brown ring of $\ce{FeSO4.NO}$ .Nitrate is reduced to $NO$ by $FeSO_4$ and conc. $H_2SO_4$; $NO$ combines with $FeSO_4$ to give the brown ring of $\ce{FeSO4.NO}$.

Revise: Chemistry of Non-Metals (Class 11 notes)

Q58Laboratory preparation of gases

Kipp's apparatus is used for the preparation of

a $\ce{Cl2}$ $\ce{Cl2}$
b $\ce{SO2}$ $\ce{SO2}$
c $\ce{CO2}$ $\ce{CO2}$
d $\ce{H2S}$ $\ce{H2S}$

Answer (d): Kipp's apparatus gives gas from a solid and a liquid without heating: H2S from FeS and acid, and also CO2 or H2.

Revise: Chemistry of Non-Metals (Class 11 notes)

Q59Bio-inorganic chemistry

The metal ion present in chlorophyll is

a $\ce{Mg^2+}$ $\ce{Mg^2+}$
b $\ce{Ca^2+}$ $\ce{Ca^2+}$
c $\ce{Ba^2+}$ $\ce{Ba^2+}$
d $\ce{Cu^2+}$ $\ce{Cu^2+}$

Answer (a): The porphyrin ring of chlorophyll holds a central magnesium ion.

Revise: Bio-Inorganic Chemistry (Class 11 notes)

Q60Structure of organic compounds

Tetrahedral structure of carbon was proposed by

aLinus Pauling
bvan't Hoff and Le Bell
cRobert Corey
dJames Waston

Answer (b): van't Hoff and Le Bel independently proposed the tetrahedral carbon atom in 1874.

Revise: Fundamental Principles (Class 11 notes)

Q61Industrial chemistry

Haber's process is used for the manufacture of

asulphuric acid
bnitric acid
cammonia
dsodium hydroxide

Answer (c): $N_2+3H_2\rightleftharpoons2NH_3$ is the Haber process.$N_2+3H_2\rightleftharpoons2NH_3$ is the Haber process.

Revise: Modern Chemical Manufactures (Class 11 notes)

Q62History of aromatic compounds

Benzene was isolated first by

aBerzelius
bCavandish
cWohler
dFaraday

Answer (d): Michael Faraday isolated benzene in 1825 from compressed oil gas.

Revise: Aromatic Hydrocarbons (Class 11 notes)

Q63Coordination compounds

Prussian blue is

a $\ce{Fe4[Fe(CN)6]3}$ $\ce{Fe4[Fe(CN)6]3}$
b $\ce{Na4[Fe(CN)6]}$ $\ce{Na4[Fe(CN)6]}$
c $\ce{Fe(CNS)3}$ $\ce{Fe(CNS)3}$
d $\ce{Na2[Fe(CN)5NO]}$ $\ce{Na2[Fe(CN)5NO]}$

Answer (a): Prussian blue is ferric ferrocyanide, Fe4[Fe(CN)6]3.

Revise: Study of Heavy Metals (Class 12 notes)

Q64Radioactive series

Which of the followings is related to Uranium series?

a $4n$
b $(4n+2)$ $(4n+2)$
c $(4n+1)$ $(4n+1)$
d $(4n+3)$ $(4n+3)$

Answer (b): The uranium (U-238) series has mass numbers of the form 4n+2.

Revise: Nuclear Chemistry (Class 12 notes)

Q65Polymers

An example of condensation polymer is

apolystyrene
bteflone
cbakelite
dpolyvinyl chloride

Answer (c): Bakelite forms from phenol and formaldehyde with loss of water; the others are addition polymers.

Revise: Chemistry in the Service to Mankind (Class 12 notes)

Q66Transition elements

Which is correct for transition elements?

aexhibit inert pair effect
bhave low melting points
cdo not show catalytic activity
dexhibit variable oxidation states

Answer (d): Partly filled d orbitals allow several oxidation states in transition metals.

Revise: Transition Metals (Class 12 notes)

Q67Heavy metals

Corrosive sublimate is

a $\ce{HgCl2}$ $\ce{HgCl2}$
b $\ce{Hg2Cl2}$ $\ce{Hg2Cl2}$
c $\ce{HgI2}$ $\ce{HgI2}$
dHgO

Answer (a): Corrosive sublimate is mercuric chloride, $HgCl_2$ . Calomel is $Hg_2Cl_2$ .Corrosive sublimate is mercuric chloride, $HgCl_2$. Calomel is $Hg_2Cl_2$.

Revise: Study of Heavy Metals (Class 12 notes)

Q68Oxidation of alcohols

The major product of reaction between ethanol and potassium dichromate in presence of sulphuric acid is

a $\ce{CH3COCH3}$ $\ce{CH3COCH3}$
b $\ce{CH3COOH}$ $\ce{CH3COOH}$
cHCHO
d $\ce{CH3COOCH2CH3}$ $\ce{CH3COOCH2CH3}$

Answer (b): Acidified dichromate oxidises a primary alcohol through acetaldehyde on to acetic acid.

Revise: Alcohols (Class 12 notes)

Q69Nomenclature

IUPAC name of formic acid is

aethanoic acid
bpropanoic acid
cmethanoic acid
dbutanoic acid

Answer (c): Formic acid HCOOH has one carbon, so it is methanoic acid.

Revise: Carboxylic Acids (Class 12 notes)

Q70Aldehydes tests

Ammonical silver nitrate solution is known as

aBaeyer's reagent
bSchiff's reagent
cFehling's solution
dTollen's reagent

Answer (d): Ammoniacal silver nitrate is Tollens' reagent, used to detect aldehydes.

Revise: Aldehydes and Ketones (Class 12 notes)

Q71Nitro compounds

The reduction of nitrobenzene in neutral medium gives

aphenyl hydroxylamine
baniline
chydrazobenzene
dall of the above

Answer (a): With $Zn/NH_4Cl$ (neutral medium), nitrobenzene gives N-phenylhydroxylamine.With $Zn/NH_4Cl$ (neutral medium), nitrobenzene gives N-phenylhydroxylamine.

Revise: Nitro Compounds (Class 12 notes)

Q72Organometallic compounds

The reaction of ketone with Grignard's reagent gives

aprimary alcohol
btertiary alcohol
csecondary alcohol
dcarboxylic acid

Answer (b): A Grignard reagent adds to a ketone C=O and hydrolysis gives a tertiary alcohol.

Revise: Organometallic Compounds (Class 12 notes)

Q73Volumetric analysis

Which of the followings is not a primary standard substance?

a $\ce{(COOH)2}$ $\ce{(COOH)2}$
b $\ce{K2Cr2O7}$ $\ce{K2Cr2O7}$
c $\ce{KMnO4}$ $\ce{KMnO4}$
dNaCl

Answer (c): KMnO4 is impure, decomposes and is not stable in solution, so it is a secondary standard.

Revise: Volumetric Analysis (Class 12 notes)

Q74Chemical kinetics

The factor which does not influence the rate of reaction is

aconcentration
btemperature
cnature of reactants
dmolecularity

Answer (d): Rate depends on concentration, temperature and the nature of reactants; molecularity only describes the elementary step.

Revise: Chemical Kinetics (Class 12 notes)

Q75Thermodynamic properties

An intensive property is

adensity
bmass
cvolume
denthalpy

Answer (a): Density is a ratio and does not depend on the amount of matter, so it is intensive. Mass, volume and enthalpy are extensive.

Revise: Chemical Thermodynamic (Class 12 notes)

English

Q76Synonyms

Pick out the word or group of words which has nearly the same meaning as the word "predicament".

amodest
bignorance
cfuture
dquandary

Answer (d): A predicament is a difficult or confusing situation, which is a quandary.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q77Synonyms

Pick out the word or group of words which has nearly the same meaning as the word "preferment".

ademotion
bpreference
cpromotion
drectify

Answer (c): Preferment means advancement to a higher position, i.e. promotion.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q78Synonyms

Pick out the word or group of words which has nearly the same meaning as the word "gainsay".

asave
bdeny
ccomment
dpunish

Answer (b): To gainsay is to deny or contradict.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q79Antonyms

Pick out the word or group of words which has nearly the opposite meaning as the word "morbid".

ahealthy
bhappy
csick
dpassive

Answer (a): Morbid means unhealthy or diseased, so the opposite is healthy.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q80Antonyms

Pick out the word or group of words which has nearly the opposite meaning as the word "esteem".

ahonour
binsult
chappy
dpardon

Answer (b): Esteem means respect, and the opposite is disrespect or insult.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q81One-word substitution

Choose a correct single word for the expression "belief that God is unknowable".

aatheism
bmonism
cagnosticism
dnihilism

Answer (c): An agnostic holds that the existence of God cannot be known.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q82One-word substitution

Choose a correct single word for the expression "false reasoning intended to deceive".

aPluralism
bhedonism
cpacifism
dsophism

Answer (d): Sophism is clever but false argument meant to deceive.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q83Phrasal verbs

Pick up the correct phrasal verb for the expression "I ..... because I wasn't sure of the way he would react".

ahold back
bhold on
chold off
dhold out

Answer (a): Hold back means hesitate or restrain oneself, fitting the uncertainty.

Revise: Grammar and Usage (Class 11 notes)

Q84Phrasal verbs

Pick up the correct phrasal verb for the expression "I told the children to take their football and... ".

aclear up
bclear off
cclear in
dclear out

Answer (b): 'Clear off' means go away, which fits telling children to take their football and leave.

Revise: Grammar and Usage (Class 11 notes)

Q85Prepositions

Pick out most appropriate preposition/s to fill up the blanks. "The defeated warrior surrendered...the enemy and waited...the verdict".

awith, for
bto, for
cin, on
dfrom, for

Answer (b): We surrender to someone and wait for something.

Revise: Grammar and Usage (Class 11 notes)

Q86Prepositions

Pick out most appropriate preposition/s to fill up the blanks. "Engineers proceed... one site to another ...quick supervision and attend business".

afor, for
bto, on
cfrom, for
don, on

Answer (c): The phrase is proceed from one site to another for quick supervision: from, for.

Revise: Grammar and Usage (Class 11 notes)

Q87Prepositions

Pick out most appropriate preposition/s to fill up the blanks. "everybody winks ...one's fault and laughs... others errors".

aon, at
bon, on
cat, for
dat, at

Answer (d): The idiom 'wink at' means to pretend not to see a fault, and one 'laughs at' others' errors, so the answer is at, at.

Revise: Grammar and Usage (Class 11 notes)

Q88Idioms

Give appropriate meaning of the idiomatic expression "to carry the day".

ato be victorious
bto feel shame
cto speak truth
dto stop work

Answer (a): To carry the day means to win or be victorious.

Revise: Vocabulary and Word Formation (Class 11 notes)

Q89Word stress

The word "prosecution" gets its prime stress on :

a3rd syllable
b2nd syllable
c4th syllable
d1st syllable

Answer (a): Pro-se-CU-tion takes the primary stress on the third syllable.

Revise: Grammar and Usage (Class 11 notes)

Q90Conditionals

Find appropriate conditional expression to fill up the blank space in "we will follow him ...he would drive more slowly".

ain case
beven if
cif only
dbut for

Answer (b): Even if expresses concession: we will follow him even if he drives more slowly.

Revise: Grammar and Usage (Class 11 notes)

Computer

Q91Artificial intelligence

What does the acronym 'GPT' stand for in ChatGPT?

aGenerative Pre-trained Transformer
bGlobal Policy Tracker
cGraphical Information Technology
dGeneral Purpose Tool

Answer (a): GPT stands for Generative Pre-trained Transformer.

Revise: Recent Trends in ICT (Class 12 notes)

Q92Operating systems

What type of operating system MS-DOS is?

aCommand Line Interface
bGraphical User Interface
cMultitasking
dMenu Driven Interface

Answer (a): MS-DOS accepts typed commands and has no graphical interface.

Revise: Computer Software and Operating System (Class 11 notes)

Q93Computer hardware terms

What is the full form of VGA?

aVideo Graphics Array
bVisual Graphics Array
cVolatile Graphics Array
dVideo Graphics Adapter

Answer (a): VGA is the Video Graphics Array display standard.

Revise: Computer System (Class 11 notes)

Q94Artificial intelligence

Which of the following is the common language for Artificial Intelligence?

aPython
bJava
cJulia
dScala

Answer (a): Python is the most widely used AI language thanks to libraries like TensorFlow and PyTorch.

Revise: Recent Trends in ICT (Class 12 notes)

Q95Applications of AI

For what purpose AI is used in Chandrayaan-3?

aData analysis during the launch
bLanding safely on the moon's surface
cMaintaining the power
dProgramming

Answer (b): Autonomous hazard detection and navigation helped the lander touch down safely.

Revise: Recent Trends in ICT (Class 12 notes)

Q96Networking devices

Which of the following devices is used in the network layer?

aApplication Gateway
bSwitch
cRouter
dReapers

Answer (c): A router forwards packets using IP addresses at the network layer.

Revise: Concept of Network and Data Communication (Class 12 notes)

Q97Units of memory

How many bytes does 4 kilobytes represent?

a512
b1024
c4096
d8192

Answer (c): $4\times1024=4096$ bytes.$4\times1024=4096$ bytes.

Revise: Computer System (Class 11 notes)

Q98Number systems

Which of the following values is the correct value of this binary code 1011 and 1111?

a11 and 14
b12 and 15
c11 and 15
d12 and 14

Answer (c): $1011_2=8+2+1=11$ and $1111_2=8+4+2+1=15$ .$1011_2=8+2+1=11$ and $1111_2=8+4+2+1=15$.

Revise: Number System and Boolean Logic (Class 11 notes)

Q99File extensions

What is the ".BAT" extension?

aSystem file
bBackup file
cStorage file
dNone of these

Answer (d): A .BAT file is a batch (script) file, which is not a system, backup or storage file, so none of the options applies.

Revise: Computer Software and Operating System (Class 11 notes)

Q100Computer viruses

Identify the first computer virus among the following.

aBlaster
bCripper
cSasser
dMydoom

Answer (b): Creeper (1971, written here as Cripper) is the earliest of these; Blaster, Sasser and Mydoom came decades later.

Revise: Information Security and Cyber Law (Class 11 notes)

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