Q1.A big piece of glass is first heated and then is allowed to cool. On cooling down, a crack is developed in it. One of the possible reasons for this is ___________ .

1. High melting point
2. Large thermal conductivity
3. Large specific heat
4. Small thermal conductivity

Correct Ans: D

Solution:

\(\Rightarrow\) When glass cools unevenly due to \(\textbf{small thermal conductivity}\), thermal stress develops, causing cracks. Mathematically, thermal stress \( \sigma = E \alpha \Delta T \), where \( E \) is Young's modulus, \( \alpha \) is thermal expansion coefficient, and \( \Delta T \) is temperature gradient.

Q2.When heat is given to boiling water, the temperature of water ____________ .

1. increases
2. decreases
3. remains constant
4. None of the above.

Correct Ans: C

Solution:

\(\Rightarrow\) Boiling water maintains constant temperature (\( 100^\circ C \) at 1 atm) because heat energy (\( Q = mL \)) is used for phase change (latent heat of vaporization \( L \)), not increasing kinetic energy. Thus, \( \Delta T = 0 \).

Q3.\(37^\circ\)C = ________\(^\circ\)F.

1. 98.6
2. 98.8
3. 97.6
4. 96.8

Correct Ans: A

Solution:

\(\Rightarrow\) Convert \( 37^\circ C \) to Fahrenheit: \( T_F = \frac{9}{5}T_C + 32 = \frac{9}{5} \times 37 + 32 = 98.6^\circ F \).

Q4.The SI Unit of coefficient of thermal conductivity is _____________ .

1. j/m K
2. N/m K
3. W/mK
4. mK/W

Correct Ans: C

Solution:

\(\Rightarrow\) Thermal conductivity (\( k \)) measures heat transfer rate per unit area and temperature gradient. SI unit: \( \text{W/mK} \) (Watt per meter per Kelvin). Derived from Fourier's law: \( Q = -kA \frac{dT}{dx} \).

Q5.Audible waves have a frequency range from ______________ .

1. 20 Hz-10 KHz
2. 20 Hz-20 KHz
3. 10 Hz-10 KHz
4. 10 Hz - 20 KHz

Correct Ans: B

Solution:

\(\Rightarrow\) Audible frequency range for humans: \( 20\ \text{Hz} \) (low-pitched) to \( 20\ \text{kHz} \) (high-pitched). Ultrasonic waves (\( >20\ \text{kHz} \)) and infrasonic waves (\( <20\ \text{Hz} \)) are inaudible.

Q6.The speed of light in a vacuum is __________ .

1. \(3\times10^5\) m/s
2. \(3\times10^6\) m/s
3. \(3\times10^7\) m/s
4. \(3\times10^8\) m/s

Correct Ans: D

Solution:

\(\Rightarrow\) Speed of light in vacuum (\( c \)) is a fundamental constant: \( c = 299,792,458\ \text{m/s} \approx 3 \times 10^8\ \text{m/s} \).

Q7.What is the periodic time of a wave having frequency of 20 Hz?

1. 0.05 sec
2. 0.5 sec
3. 5 sec
4. 50 sec

Correct Ans: A

Solution:

\(\Rightarrow\) Period (\( T \)) and frequency (\( f \)) are inversely related: \( T = \frac{1}{f} = \frac{1}{20\ \text{Hz}} = 0.05\ \text{sec} \).

Q8.LASER is an extremely ______________ radiation.

1. Unidirectional
2. Focused
3. Coherent and Stimulated
4. All of above

Correct Ans: D

Solution:

\(\Rightarrow\) LASER properties: \(\textbf{Unidirectional}\) - travels in one direction, \(\textbf{Focused}\) - narrow beam, \(\textbf{Coherent}\) in-phase waves, and \(\textbf{Stimulated}\) - emission. Hence, all options are correct.

Q9.A volume of an auditorium is 5000 \(m^3\). The total absorption by the surfaces is 900 O.W.U. Then calculate reverberation time.

1. 8.094
2. 0.729
3. 0.894
4. 1.003

Correct Ans: C

Solution:

\(\Rightarrow\) Reverberation time (\( T \)) is calculated using Sabine's formula: \( T = \frac{0.161V}{A} \), where \( V = 5000\ \text{m}^3 \) (volume) and \( A = 900\ \text{OWU} \) (absorption). Substituting: \( T = \frac{0.161 \times 5000}{900} = 0.894\ \text{sec} \).

Q10.If \(n_1\) and \(n_2\) are refractive indices of core and cladding resp. Then what is the formula for numerical aperture for optical fiber?

1. \(\sqrt {n^2_2-n^2_1}\)
2. \(\sqrt {n^2_1-n^2_2}\)
3. \(\sqrt {n_2-n_1}\)
4. \(\sqrt {n_1-n_2}\)

Correct Ans: B

Solution:

\(\Rightarrow\) Numerical Aperture (\( NA \)) for optical fiber: \( NA = \sqrt{n_1^2 - n_2^2} \), where \( n_1 \) (core) and \( n_2 \) (cladding) are refractive indices. This determines light-gathering capacity.

Q11.\(CaCO_{3(s)}\) \(\:\xrightarrow[]{heat}\:\) \(CaCO_{3(s)}+ CaCO_{2(g)}\), which kind of reaction is this?

1. Displacement reaction
2. Oxidation reaction
3. Thermal decomposition reaction
4. Precipitation reaction

Correct Ans: C

Solution:

\(\Rightarrow\) Here, a single element \(CaCO_{3}\) breaks down into two product that is \(CaO\) and \( CO_{2}\).
\(\Rightarrow\) Hence, this is a decomposition process.

Q12.What is the formula of lead sulphate ?

1. \(Pb_2SO_4\)
2. \(Pb(SO_4)_2\)
3. \(PbSO_4\)
4. \(Pb_2(SO_4)_3\)

Correct Ans: C

Solution:

\(\Rightarrow\) The formula of lead sulphate is:\(PbSO_4\)

where,

\(Pb = Lead\)

\(SO_4 = Sulphate \: ion\)

Q13.Which is the balance equation of \(Al+HCl \rightarrow AlCl_3+ H_2\) ?

1. \(Al+HCl \rightarrow AlCl_3+ 2H_2\)
2. \(2Al+6HCl \rightarrow 2AlCl_3+ 3H_2\)
3. \(2Al+3HCl \rightarrow 2AlCl_3+ 2H_2\)
4. \(2Al+4HCl \rightarrow 3AlCl_3+ 3H_2\)

Correct Ans: B

Solution:

\(\Rightarrow\) The given chemical equation is
\(\quad \:Al + HCl \rightarrow AlCl_3 + H_2 \)
\(\Rightarrow\) Here, the number of atoms of hydrogen and chlorine is not equal on both the side.

\(\text {Step 1:}\) Balance \(Cl\) both side as it has maximum atoms.
\(\Rightarrow\) To do this multiply 3 with \(HCl\) on the reactant side
\(\implies Al + 3HCl \rightarrow AlCl_3 + H_2 \)

\(\text {Step 2:}\) Balance \(H\) both side.
\(\Rightarrow\) Reactant have 3 atoms and product have 2 atoms of \(H\), which can be balanced out as follow:
\(\implies Al + 2\times 3 HCl \rightarrow AlCl_3 + 3\times H_2 \)
\(\implies Al + 6HCl \rightarrow AlCl_3 + 3H_2 \)

\(\text {Step 3:}\) Now, we need to balance \(Cl\) again.
\(\Rightarrow\) Reactant have 6 atoms and product have 3 atoms of \(Cl\), which can be balanced out as follow:
\(\implies Al + 6HCl \rightarrow 2AlCl_3 + 3H_2 \)

\(\text {Step 4:}\) Finally, we need to balance \(Al\).
\(\Rightarrow\) Reactant have 1 atoms and product have 2 atoms of \(Al\), which can be balanced out as follow:
\(\implies 2Al + 6HCl \rightarrow 2AlCl_3 + 3H_2 \)

Q14.Which main product is obtained by reaction of sodium hydroxide with zinc metal?

1. \(NaZnO_2\)
2. \(NaZn_2O\)
3. \(Na_2ZnO_2\)
4. \(Zn(OH)_2\)

Correct Ans: C

Solution:

\(\Rightarrow\) Sodium zincate - \(Na_2ZnO_2\).
\(\Rightarrow\) It is formed when zinc reacts with sodium hydroxide \((NaOH)\) in an aqueous solution.
\(\Rightarrow\) It is often used in galvanizing and electroplating processes and can also be found in some types of batteries.

Q15.Which type of oxides is called basic oxide ?

1. Non-metallic oxide
2. Metallic oxide
3. (A) and (B) both
4. Inactive oxide

Correct Ans: B

Solution:

\(\Rightarrow\) Basic oxides are metal oxides that react with water to form a base or with acids to form a salt and water. 
\(\Rightarrow\) They are typically ionic compounds formed by the reaction of metals with oxygen. 

Q16.Which of the following is known as milk of magnesia?

1. \(Mn(OH)_2\)
2. \(Mg(OH)_2\)
3. \(MgO\)
4. \(Mg(OH)\)

Correct Ans: B

Solution:

\(\Rightarrow\) Magnesium hydroxide \((Mg(OH)_2)\) - a milky white liquid is known as milk of magnesia. 

Q17.Which of the following is the chemical formula of bleaching powder?

1. \(Ca(OH)_2\)
2. \(CaOCl_2\)
3. \(Ca_2OCl\)
4. \(CaCO_3.2H_2O\)

Correct Ans: B

Solution:

\(\Rightarrow\) Bleaching powder is also known as calcium hypochlorite, and its formula is \(CaOCl_2\).

Q18.Which of the following is the lustrous non-metal?

1. Iodine
2. Carbon
3. Nirtogen
4. Bromine

Correct Ans: A

Solution:

\(\Rightarrow\) lodine is non metal having lustrous appearance.

Q19.Which of the following metals neither reacts with cold nor hot water, but reacts with vapour?

1. Aluminium
2. Iron
3. Zinc
4. All of the above

Correct Ans: D

Solution:

The correct answer is: Aluminium (Al)


\(\Rightarrow\) Among metals, aluminium does not react with cold or hot water due to the formation of a passive oxide layer \(Al_2 O_3\) on its surface. However, it does react with steam (water vapour) at high temperatures to form aluminium oxide and hydrogen gas:

\[
2Al + 3H_2O (g) \rightarrow Al_2O_3 + 3H_2 \uparrow
\]

Other metals comparison:

\(\rightarrow\) Sodium (Na) and Potassium (K): React vigorously with cold water.

\(\rightarrow\) Calcium (Ca) and Magnesium (Mg): React with cold or hot water.

\(\rightarrow\) Iron (Fe): Reacts slowly with steam.

\(\rightarrow\) Zinc (Zn): Also reacts with steam.



\(\therefore\) Aluminium fits the condition best — no reaction with cold or hot water, but reacts with steam

Q20.Which of the following is correct order of reactivity of metals?

1. \(Mg > Al > Zn > Fe\)
2. \(Mg > Fe > Zn > Al\)
3. \(Fe > Zn >Al > Mg\)
4. \(Mg > Al > Fe> Zn\)

Correct Ans: A

Solution:

\(\Rightarrow\) The figure shows the list of elements arranged according to their reactivity.

Q21.The smallest unit of data in a computer is called a:

1. Byte
2. Bit
3. Nibble
4. GB

Correct Ans: B

Solution:

\(\Rightarrow\) A single bit can only have two possible values: 0 or 1. Computers rely on these values to store and handle information.
\(\Rightarrow\) Bits are usually combined to create bigger units of data like bytes, which consist of 8 bits, or kilobytes, which contain 1024 bytes.

Q22.Pressing Ctrl + Home keys on the Keyboard moves the cursor to the _______ in MS-Word.

1. End of the document
2. Beginning of the line
3. Beginning of the paragraph
4. Beginning of the document

Correct Ans: D

Solution:

In MS Word, Pressing
\(\Rightarrow\) \(\text{Ctrl + End}\) moves the cursor to the end of the document .
\(\Rightarrow\) Only \(\text{Home}\) moves it to the beginning of the current line.
\(\Rightarrow\) \(\text{Ctrl +Up arrow} (\uparrow)\) jumps to the beginning of the current paragraph.
\(\Rightarrow\) \(\text{Ctrl + Home}\) returns to the very start of the document.

Q23.Which of the following can be classified as a relative link in the HTML?

1. <a href="http://www.blog.com/index.html">
   
2. <a href="../index.html">
3. <a href="http://index.html">
4. All of the above

Correct Ans: B

Solution:

\(\Rightarrow\) \(\text{Relative}\) URLs omit the scheme/host and specify a path relative to the current document (or its parent directories).
\(\Rightarrow\) \(\text{Absolute}\) URLs include a scheme (e.g. http:// or https://) and usually a host name.

Q24.To find the total value of the cell values in A2, B2, C2 and D2 in MS-Excel, the correct formula is:

1. sum (A2:D2)
2. sum (A2, B2, C2, D2)
3. Both (A) and (B)
4. None of the above

Correct Ans: C

Solution:

The correct choice is \(\text{Both (A) and (B)}\).
\(\Rightarrow\) \(\text{=SUM(A2:D2)}\) uses a continuous range from A2 through D2.
\(\Rightarrow\) \(\text{=SUM(A2, B2, C2, D2)}\) explicitly lists each cell and add them up.

Q25.Which of the following is an incorrect option in the view menu of a Microsoft Power point presentation ?

1. Tree view
2. Outline view
3. Notes page
4. Reading view

Correct Ans: A

Solution:

In MS Powerpoint,
\(\Rightarrow\) \(\text{Outline view}\) shows only the text content of your slides in a collapsible, linear outline on the left pane.
\(\Rightarrow\) \(\text{Notes page}\) displays a single slide at the top and its speaker notes below, formatted as a printable “notes page."
\(\Rightarrow\) \(\text{Reading view}\) runs your presentation in a window (not full‑screen) so you can step through slides as a viewer would.

\(\Rightarrow\) PowerPoint doesn’t include any option in view menu named \(\text{Tree View}\).

Q26.The green plants manufacture their own food are known as __________.

1. Heterotrophs
2. Autotrophs
3. Saprotrophs
4. Omnivores

Correct Ans: B

Solution:

\(\Rightarrow\) Autotrophs are organisms capable of producing their own food, often through photosynthesis, using light energy, water, and carbon dioxide. 

Q27.Bag filters are used to ____________ .

1. reduce noise pollution
2. reduce sludge from waste water
3. remove particulate matter for a contaminated gas stream
4. reduce soil pollution

Correct Ans: C

Solution:

\(\Rightarrow\) A bag filter is an air pollution control device that uses fabric bags to trap particulate matter (dust and other small particles) from polluted gas streams. 
\(\Rightarrow\) It's commonly used in industrial settings like boiler houses, factories, and power plants to reduce emissions and improve air quality. 

Q28.The process of producing energy by utilizing heat trapped inside the earth surface is known as ____________ .

1. Geo-Thermal energy
2. Hydrothermal energy
3. Solar energy
4. Wave energy

Correct Ans: A

Solution:

\(\Rightarrow\) The process of producing energy by utilizing heat trapped inside the Earth's surface is called geothermal energy. 

Q29.__________ is a device that converts solar energy directly into electricity.

1. Fuel cell
2. Hydrogen cell
3. Solar array
4. Photovoltaic cell

Correct Ans: D

Solution:

\(\Rightarrow\) A solar cell (also known as a photovoltaic cell) is a device that converts solar energy directly into electricity. 

Q30.The goal of the Paris Agreement is to keep the increase in global temperature well below ____________ above Preindustrial levels.

1. \(1.0^\circ C\)
2. \(1.5^\circ C\)
3. \(2.0^\circ C\)
4. \(2.5^\circ C\)

Correct Ans: C

Solution:

\(\Rightarrow\) The Paris Agreement aims to keep the increase in global temperature well below 2 degrees Celsius.

Q31.Number of significant digits in 2025 is __________ .

1. 3
2. 4
3. 2
4. 5

Correct Ans: B

Solution:

\(\Rightarrow\) Significant digits in 2025: All non-zero digits (2, 0, 2, 5) are significant. Zero (0) between non-zero digits is also significant.

Q32.Zero error is an example of _______ error.

1. Systematic
2. Random
3. Maximum
4. Minimum

Correct Ans: A

Solution:

\(\Rightarrow\) Zero error is \(\textbf{systematic}\) because it arises from instrument calibration (e.g., micrometer screw gauge not starting at zero) and is repeatable. Random errors vary unpredictably.

Q33.I joule =________ erg.

1. \(10^3\)
2. \(10^5\)
3. \(10^7\)
4. \(10^9\)

Correct Ans: C

Solution:

\(\Rightarrow\) Energy unit conversion: \( 1\ \text{J} = 10^7\ \text{erg} \).
Derived from \( 1\ \text{J} = 1\ \text{kg m}^2/\text{s}^2 \) and \( 1\ \text{erg} = 1\ \text{g cm}^2/\text{s}^2 \).

Q34.Density of water in CGS system is ________.

1. 1000
2. 100
3. 10
4. 1

Correct Ans: D

Solution:

\(\Rightarrow\) Density of water in CGS: \( \rho = 1\ \text{g/cm}^3 \) (at \( 4^\circ C \)). In SI: \( 1000\ \text{kg/m}^3 \).

Q35.In equation density \(s=\frac{m}{V}\) if percentage error in mass m is 0.3% and for radius r is 0.5% then percentage error in density of a Sphere is __________%.

1. 1.8
2. 1.5
3. 1.2
4. 1.1

Correct Ans: A

Solution:

\(\Rightarrow\) For a sphere (\( V = \frac{4}{3}\pi r^3 \)), \% error in density (\( s \)): \( \Delta s\% = \Delta m\% + 3 \times \Delta r\% = 0.3\% + 3 \times 0.5\% = 1.8\% \).

Q36.The pitch of micrometer screw is 1 mm. There are 100 divisions on it's circular scale. What will be the least count of the micrometer screw.

1. 1 mm
2. 0.1 mm
3. 0.01 mm
4. 0.001 mm

Correct Ans: C

Solution:

\(\Rightarrow\) Least Count = \( \frac{\text{Pitch}}{\text{Divisions}} = \frac{1\ \text{mm}}{100} = 0.01\ \text{mm} \). Ensures precision in micrometer measurements.

Q37.The SI Unit of linear momentum is ___________ .

1. Kgs/m
2. Kg m/s
3. ms/Kg
4. Kg s m

Correct Ans: B

Solution:

\(\Rightarrow\) Linear momentum: \( p = mv \). SI unit: \( \text{kg m/s} \).

Q38.The centripetal force always acts ____________ .

1. Away from the centre
2. In tangential direction
3. Perpendicular to the motion
4. Towards the centre

Correct Ans: D

Solution:

\(\Rightarrow\) Centripetal force (\( F_c = \frac{mv^2}{r} \)) always points \(\textbf{towards the centre}\) of circular motion, perpendicular to velocity.

Q39.When external force acting on a body is zero then its acceleration is __________ .

1. increases
2. decreases
3. equal to zero
4. remains constant

Correct Ans: C

Solution:

\(\Rightarrow\) Newton's First Law: If net force \( F = 0 \), acceleration \( a = 0 \) (object remains at rest or moves uniformly).

Q40.The formula for angular velocity of a body moving with a constant speed v in a circle of radius r, is given by _________

1. \(v/r\)
2. \(vr\)
3. \(vr^2\)
4. \(vr^3\)

Correct Ans: A

Solution:

\(\Rightarrow\) Angular velocity (\( \omega \)) for circular motion: \( \omega = \frac{v}{r} \) (radians/second).

Q41.A body having 10 kg mass and 9.8 \(m/s^2\) acceleration produces how much force ?

1. 9.8 newton
2. 98 newton
3. 0.98 newton
4. 980 newton

Correct Ans: B

Solution:

\(\Rightarrow\) Force (\( F \)) via Newton's Second Law:
\( F = ma = 10\ \text{kg} \times 9.8\ \text{m/s}^2 = 98\ \text{N} \).

Q42.If an object having mass 50 kg rotated in a circle with a radius of 2 m with a constant speed of 60 m/s then what is the value of centripetal acceleration?

1. \(6000 m/s^2\)
2. \(3000 m/s^2\)
3. \(1800 m/s^2\)
4. \(1500 m/s^2\)

Correct Ans: C

Solution:

\(\Rightarrow\) Centripetal acceleration (\( a_c \)): \( a_c = \frac{v^2}{r} = \frac{(60\ \text{m/s})^2}{2\ \text{m}} = 1800\ \text{m/s}^2 \).

Q43.The SI Unit of electric flux is __________ .

1. \(C^2/Nm\)
2. \(Nm/C\)
3. \(Nm/C^2\)
4. \(Nm^2/C\)

Correct Ans: D

Solution:

\(\Rightarrow\) Electric flux (\( \Phi \)) SI unit: \( \text{Nm}^2/\text{C} \).
From Gauss's law: \( \Phi = \oint \mathbf{E} \cdot d\mathbf{A} \).

Q44.The electric field lines are _________ .

1. Imaginary
2. Real
3. Ideal
4. None of the above

Correct Ans: A

Solution:

\(\Rightarrow\) Electric field lines are \(\textbf{imaginary}\) curves representing the direction of the electric field (\( \mathbf{E} \)) at each point.

Q45.How many electrons are in 1 coulomb charge ?

1. \(6.25 \times 10^{17}\)
2. \(6.25 \times 10^{18}\)
3. \(6.25 \times 10^{19}\)
4. \(6.25 \times 10^{20}\)

Correct Ans: B

Solution:

\(\Rightarrow\) Number of electrons in 1 Coulomb: \( n = \frac{Q}{e} = \frac{1\ \text{C}}{1.6 \times 10^{-19}\ \text{C}} = 6.25 \times 10^{18} \).

Q46.The capacitance of a capacitor ___________ if an insulating dielectric material is placed between two plates of it.

1. increases
2. decreases
3. remains constant
4. becomes zero

Correct Ans: A

Solution:

\(\Rightarrow\) Capacitance (\( C \)) with dielectric: \( C = \kappa C_0 \), where \( \kappa \) (dielectric constant) \( >1 \). Thus, \( C \) \(\textbf{increases}\).

Q47.If the distance between two charges is doubled then electric force between them becomes ______________ .

1. half
2. double
3. one fourth
4. four times

Correct Ans: C

Solution:

\(\Rightarrow\) Coulomb's Law: \( F \propto \frac{1}{r^2} \). If distance \( r \) doubles, force reduces to \( \frac{1}{4} \).

Q48.What is the effective value of resistance when three resistors \(5\: \Omega, \: 10 \:\Omega\) and \(15\: \Omega \) are connected in series combination?

1. \(10 \:\Omega\)
2. \(30 \:\Omega\)
3. \(20 \:\Omega\)
4. \(5.5 \:\Omega\)

Correct Ans: B

Solution:

\(\Rightarrow\) Series resistance: \( R_{\text{total}} = R_1 + R_2 + R_3 = 5\ \Omega + 10\ \Omega + 15\ \Omega = 30\ \Omega \).

Q49.Heat capacity of a body per unit mass is known as ______________ .

1. Specific heat
2. Relative heat
3. \(C_p)\)
4. \(C_v)\)

Correct Ans: A

Solution:

\(\Rightarrow\) Specific heat capacity (\( c \)): Heat required per unit mass to raise temperature by \( 1^\circ C \). SI unit: \( \text{J/kg K} \).

Q50.1 KCal= _________ J.

1. 4.186
2. 4186
3. 41.86
4. 418.6

Correct Ans: B

Solution:

\(\Rightarrow\) Energy conversion: \( 1\ \text{kcal} = 4186\ \text{J} \) (exact: \( 1\ \text{cal} = 4.186\ \text{J} \)).

Q51.The Centre of the circle \((x+3)^2+y^2-2=0\) is___.

1. (3,0)
2. (0,3)
3. (-3,0)
4. (0,-3)

Correct Ans: C

Solution:

\[
(x + 3)^2 + y^2 - 2 = 0
\]
\[
(x + 3)^2 + y^2 = 2
\]

Standard form:

\[
(x - h)^2 + (y - k)^2 = r^2
\]

Where:

- \((h, k)\) is the centre of the circle

- \(r\) is the radius



Compare:
\[
(x + 3)^2 + y^2 = (x - (-3))^2 + (y - 0)^2
\]

\(\therefore h = -3 \: \& \: k = 0\)

\(\therefore\) The centre of the circle is \((-3, 0)\).

Q52.If \(f(x)=e^{log x}\), then \(f(1)=\)___

1. 0
2. 1
3. e
4. -e

Correct Ans: B

Solution:

\[
f(x) = e^{\log x}
\]
\[where, \quad
e^{\log_e x} = x \quad \text{(for } x > 0 \text{ and natural log)}
\]

\[\therefore
f(x) = x
\]

\[\therefore
f(1) = 1
\]

Q53.\(\lim_{x \to 0} \frac{\sin 2x}{\tan x}\) = _____

1. 1
2. 0.5
3. 2
4. 3

Correct Ans: C

Solution:

\[
\lim_{x \to 0} \frac{\sin 2x}{\tan x}
\]

\[
\sin 2x = 2 \sin x \cos x
\quad \text{and} \quad
\tan x = \frac{\sin x}{\cos x}
\]


\[
\frac{2 \sin x \cos x}{\frac{\sin x}{\cos x}} = 2 \sin x \cos x \cdot \frac{\cos x}{\sin x}
\]



\[
= 2 \cancel{\sin x} \cos x \cdot \frac{\cos x}{\cancel{\sin x}} = 2 \cos^2 x
\]

Take the limit as \(x \to 0\)

\[
2 \cos^2 x = 2 \cdot 1 = 2
\]

Q54.\(\lim_{n \to \infty} (1+\frac{5}{2n})^{8n}\) =_____

1. \(e^{13}\)
2. \(e^{4}\)
3. \(e^{10}\)
4. \(e^{20}\)

Correct Ans: D

Solution:

\[
\lim_{n \to \infty} \left(1+\frac{5}{2n}\right)^{8n}
\]

\(\rightarrow\) Standard exponential limit identity:


\[
\lim_{n \to \infty} \left(1 + \frac{k}{n}\right)^n = e^k
\]
\(\rightarrow\) Rewrite the expression:

\[
\left(1 + \frac{5}{2n}\right)^{8n}
= \left[\left(1 + \frac{5}{2n}\right)^{2n}\right]^4
\]


\[
\left(1 + \frac{5}{2n}\right)^{2n} \to e^5 \quad \text{as } n \to \infty
\]


\[\therefore
\left[\left(1 + \frac{5}{2n}\right)^{2n}\right]^4 \to (e^5)^4 = e^{20}
\]

Q55.\(\frac{d}{dx}(log 5 + \sin \frac{\pi}{3})\) = ____

1. \(0\)
2. \(\frac{1}{5}+\cos \frac{\pi}{3}\)
3. \(\frac{1}{5}-\cos \frac{\pi}{3}\)
4. \(\cos \frac{\pi}{3}\)

Correct Ans: A

Solution:

\[
\frac{d}{dx}\left(\log 5 + \sin \frac{\pi}{3}\right)
\]

\(\rightarrow\) \(\log 5\) is a constant (natural log of 5)

\(\rightarrow\) \(\sin \frac{\pi}{3} = \frac{\sqrt{3}}{2}\), also a constant



\(\therefore\) Derivative of a constant is 0

\[
\frac{d}{dx}(\text{constant}) = 0
\]

Q56.\(\frac{d}{dx}(x^e+e^x-e^e)\) = ___

1. \(e^x\)
2. \(e x^e+e^x\)
3. \(e x^{e-1}+e^x\)
4. \(e x^{e-1}+e^x-e^{e-1}\)

Correct Ans: C

Solution:

\[
\frac{d}{dx}(x^e + e^x - e^e)
\]

Differentiate each term:



1. \(\frac{d}{dx}(x^e) = e x^{e-1}\)

(Since \(e\) is a constant exponent)



2. \(\frac{d}{dx}(e^x) = e^x\)



3. \(\frac{d}{dx}(e^e) = 0\)

(Because it is a constant)



\[
\frac{d}{dx}(x^e + e^x - e^e) = e x^{e-1} + e^x
\]

Q57.\(\frac{d}{dx} \log (\sin x)\) =____

1. \(\cot x\)
2. \(-\cot x\)
3. \(\tan x\)
4. \(-\tan x\)

Correct Ans: A

Solution:

\[
\frac{d}{dx} \log (\sin x)
\]

\(\rightarrow\) Apply the chain rule:


The derivative of \(\log(u)\) with respect to \(x\) is:

\[
\frac{d}{dx} \log(u) = \frac{1}{u} \cdot \frac{du}{dx}
\]

Here, \(u = \sin x\).


\[
\frac{d}{dx} \sin x = \cos x
\]



\[
\frac{d}{dx} \log (\sin x) = \frac{1}{\sin x} \cdot \cos x
\]



\[
\frac{\cos x}{\sin x} = \cot x
\]

Q58.If \(x+y=-2\) then \(\frac{dy}{dx}=\)____

1. 0
2. 1
3. 2
4. -1

Correct Ans: D

Solution:

\[
x + y = -2
\]

\(\Rightarrow\) Differentiate both sides:

\[\rightarrow
\frac{d}{dx}(x + y) = \frac{d}{dx}(x) + \frac{d}{dx}(y) = 1 + \frac{dy}{dx}
\]


\[\rightarrow
\frac{d}{dx}(-2) = 0
\]



\[\therefore
1 + \frac{dy}{dx} = 0
\]

Q59.\(\int \frac{1}{e^x} dx =\) ____ \(+C\)

1. \(e^{-x}\)
2. \(-e^{-x}\)
3. \(e^{x}\)
4. \(-e^{x}\)

Correct Ans: B

Solution:

\[
\int \frac{1}{e^x} \, dx
\]

\[where, \:\:
\frac{1}{e^x} = e^{-x}
\]


\[
\int e^{-x} \, dx
\]

\(\rightarrow\) The integral of \(e^{ax}\) with respect to \(x\) is \(\frac{e^{ax}}{a}\), where \(a\) is a constant. Here, \(a = -1\).



\[\therefore
\int e^{-x} \, dx = \frac{e^{-x}}{-1} = -e^{-x}
\]


\[\therefore
\int \frac{1}{e^x} \, dx = -e^{-x} + C
\]

Q60.\(\int\frac{3}{5x^4} dx=\) ___\(+C\)

1. \(\frac{-3}{5x^3}\)
2. \(\frac{-12}{5x^5}\)
3. \(\frac{3}{20x^3}\)
4. \(\frac{-1}{5x^3}\)

Correct Ans: D

Solution:

\[
\int \frac{3}{5x^4} \, dx
\]

\[
\int \frac{3}{5} x^{-4} \, dx = \frac{3}{5} \int x^{-4} \, dx
\]
Use the power rule

\[
\int x^n \, dx = \frac{x^{n+1}}{n+1} \quad \text{for } n \neq -1
\]

Here, \(n = -4\), so:

\[
\int x^{-4} \, dx = \frac{x^{-3}}{-3} = -\frac{1}{3x^3}
\]


\[\therefore
\frac{3}{5} \cdot \left(-\frac{1}{3x^3}\right) = -\frac{1}{5x^3}
\]

Q61.\(\int \frac{4x-10}{x^2-5x+1} dx=\)_____\(+C\)

1. \(2 log \vert 2x-5 \vert\)
2. \(2 log \vert x^2-5x+1 \vert\)
3. \(\frac{2}{ log \vert 2x-1 \vert}\)
4. \(\frac{2}{ log \vert x^2-5x+1 \vert}\)

Correct Ans: B

Solution:

\[
\int \frac{4x - 10}{x^2 - 5x + 1} \, dx
\]


Let:
\[
u = x^2 - 5x + 1 \Rightarrow du = (2x - 5)\,dx
\]


\[\therefore
\frac{4x - 10}{x^2 - 5x + 1} \, dx = \frac{2(2x - 5)}{u} \, dx = 2 \cdot \frac{du}{u}
\]



\[
\int 2 \cdot \frac{1}{u} \, du = 2 \ln |u| + C
\]

Substitute back: \(u = x^2 - 5x + 1\):

\[=
2 \ln |x^2 - 5x + 1| + C
\]

Q62.\(\int_{-\pi}^{\pi} x^2 \sin x \: dx = \)_____

1. \(0\)
2. \(1\)
3. \(-1\)
4. \(-2 \pi\)

Correct Ans: A

Solution:

\[
\int_{-\pi}^{\pi} x^2 \sin x \, dx
\]

\(\rightarrow x^2\) is even: \(x^2 = (-x)^2\)


\(\rightarrow \sin x\) is odd: \(\sin(-x) = -\sin x\)




\[\therefore
x^2 \sin x \text{ is the product of even and odd functions ⇒ an odd function}
\]

\(\rightarrow\) Use symmetry of definite integrals.


\(\rightarrow\) The integral of an odd function over a symmetric interval \([ -a, a ]\) is always zero:

\[
\int_{-a}^{a} \text{(odd function)} \, dx = 0
\]

Q63.\(\frac{log 125}{log 5}\)=_____

1. \(log 125 - log 5\)
2. \(log 120 \)
3. \(25\)
4. \(3\)

Correct Ans: D

Solution:

\[
\frac{\log 125}{\log 5}
\]



\[where, \:
\log 125 = \log (5^3) = 3 \log 5
\]

\[
\frac{\log 125}{\log 5} = \frac{3 \log 5}{\log 5}
\]

\[
= 3
\]

Q64.\(log 2 + 2 log 3\) =_____

1. \(2 log 6\)
2. \(log 8\)
3. \(log 18\)
4. \(log 12\)

Correct Ans: C

Solution:

\[
\log 2 + 2 \log 3
\]

\[where, \:
2 \log 3 = \log (3^2) = \log 9
\]

\[\therefore
\log 2 + \log 9 = \log (2 \cdot 9) = \log 18
\]

Q65.The mean of the first five negative integers is ___.

1. 15
2. -15
3. 3
4. -3

Correct Ans: D

Solution:

The first five negative integers are:
\[
-1,\ -2,\ -3,\ -4,\ -5
\]


\[\therefore
\text{Mean} =\frac{sum}{number \: of \: terms}= \frac{-15}{5} = -3
\]

Q66.\(\begin{bmatrix}
\tan x & -\csc x \\
-\sin x & -\cot x
\end{bmatrix} =\) _____

1. 0
2. -1
3. -2
4. -3

Correct Ans: C

Solution:

\[
\begin{bmatrix}
\tan x & -\csc x \\
-\sin x & -\cot x
\end{bmatrix}
\]


\[\therefore
\det = (\tan x)(-\cot x) - (-\csc x)(-\sin x)
\]


\[\therefore
\det = \left( \frac{\sin x}{\cos x} \right) \left( -\frac{\cos x}{\sin x} \right) - \left( -\frac{1}{\sin x} \right)(-\sin x)
\]


\[\therefore
\det = -1 - 1 = -2
\]

Q67.The matrix \(\begin{bmatrix}
3 & 1 & -2 \\
1 & 0 & 5 \\ -2 & 5 & 4
\end{bmatrix} \) is a ____ matrix.

1. Singular
2. Symmetric
3. Skew-symmetric
4. Diagonal

Correct Ans: B

Solution:

\[Given:
A = \begin{bmatrix}
3 & 1 & -2 \\
1 & 0 & 5 \\
-2 & 5 & 4
\end{bmatrix}
\]


\(\quad 1.\) Symmetric Matrix:

A matrix is symmetric if \( A = A^T \) (transpose equals the original).

\[
A^T = \begin{bmatrix}
3 & 1 & -2 \\
1 & 0 & 5 \\
-2 & 5 & 4
\end{bmatrix}
= A
\]

\(\therefore\) A is symmetric.



\(\quad 2.\) Skew-symmetric Matrix:

For a matrix to be **skew-symmetric**, \( A^T = -A \).

Here, since \( A = A^T \), it is **not** skew-symmetric.



\(\quad 3.\) Diagonal Matrix:

A diagonal matrix has non-zero entries only on the main diagonal and zeros elsewhere.

This matrix has non-zero off-diagonal elements (like 1 and -2), so it's not diagonal.



\(\quad 4.\) Singular Matrix:

A matrix is singular if its determinant is 0.



\[
\text{det}(A) =
3 \begin{vmatrix} 0 & 5 \\ 5 & 4 \end{vmatrix}
- 1 \begin{vmatrix} 1 & 5 \\ -2 & 4 \end{vmatrix}
+ (-2) \begin{vmatrix} 1 & 0 \\ -2 & 5 \end{vmatrix}
\]

\[
\text{det}(A) = -75 - 14 - 10 = -99 \neq 0
\]

\(\therefore\) It is not singular.

Q68.If \(A=\begin{bmatrix}3 & 1 & 2 \end{bmatrix} \) and \(B= \begin{bmatrix}-5 \\ 0 \\ 4 \end{bmatrix} \) then \(AB=\)____

1. \(\begin{bmatrix}-2 & 1 & 6 \end{bmatrix} \)
2. \(\begin{bmatrix}-15 & 0 & 8 \end{bmatrix} \)
3. \(\begin{bmatrix}-7 \end{bmatrix} \)
4. \(None\)

Correct Ans: C

Solution:

\[
A = \begin{bmatrix} 3 & 1 & 2 \end{bmatrix}, \quad B = \begin{bmatrix} -5 \\ 0 \\ 4 \end{bmatrix}
\]

\(\rightarrow\) \(A\) is a 1×3 row matrix, and \(B\) is a 3×1 column matrix,

\(\therefore\) The product \(AB\) is defined and will result in a 1×1 matrix.

\[\therefore
AB = (3)(-5) + (1)(0) + (2)(4)
= -15 + 0 + 8 = -7
\]

Q69.\(A=\begin{bmatrix}
4 & 5 \\
-2 & -3
\end{bmatrix} \) then \(A^{-1}=\) ____

1. \(\begin{bmatrix}
   -3 & -5 \\
   2 & -4
   \end{bmatrix} \)
2. \(\frac{1}{2}\begin{bmatrix}
   -3 & -5 \\
   2 & 4
   \end{bmatrix} \)
3. \(\frac{-1}{2}\begin{bmatrix}
   -4 & -5 \\
   -2 & 3
   \end{bmatrix} \)
4. \(\frac{-1}{2}\begin{bmatrix}
   -3 & -5 \\
   2 & 4
   \end{bmatrix} \)

Correct Ans: D

Solution:

\[
A = \begin{bmatrix} 4 & 5 \\ -2 & -3 \end{bmatrix}
\]
\[\implies
A^{-1} = \frac{1}{\det(A)} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}
\quad \text{for} \quad A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}
\]

\[\therefore
\det(A) = ad - bc = (4)(-3) - (5)(-2) = -12 + 10 = -2
\]


\[\therefore
A^{-1} = \frac{1}{-2} \begin{bmatrix} -3 & -5 \\ 2 & 4 \end{bmatrix}
= \begin{bmatrix} \frac{3}{2} & \frac{5}{2} \\ -1 & -2 \end{bmatrix}
\]

Q70.\(225^\circ = \)____ \(radian.\)

1. \(\frac{3 \pi}{4}\)
2. \(\frac{5 \pi}{4}\)
3. \(\frac{7 \pi}{4}\)
4. \(\frac{9 \pi}{4}\)

Correct Ans: B

Solution:

\[
\text{Radians} = \text{Degrees} \times \frac{\pi}{180}
\]

\[\implies
225^\circ = 225 \times \frac{\pi}{180} = \frac{225\pi}{180}=\frac{5\pi}{4}
\]

Q71.If \(\sin \theta = \frac{2}{\sqrt{5}}\), then \(\cot \theta=\) _____

1. \(1\)
2. \(\frac{1}{2}\)
3. \(2\)
4. \(\frac{1}{\sqrt{5}}\)

Correct Ans: B

Solution:

\[
\sin \theta = \frac{2}{\sqrt{5}}
\]


\[where, \:
\sin^2 \theta + \cos^2 \theta = 1
\]

\[\therefore
\left( \frac{2}{\sqrt{5}} \right)^2 + \cos^2 \theta = 1\] \[\Rightarrow \frac{4}{5} + \cos^2 \theta = 1
\Rightarrow \cos^2 \theta = 1 - \frac{4}{5} = \frac{1}{5}
\Rightarrow \cos \theta = \pm \frac{1}{\sqrt{5}}
\]
\[\therefore
\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{\pm \frac{1}{\sqrt{5}}}{\frac{2}{\sqrt{5}}} = \pm \frac{1}{2}
\]

Q72.Peripheral period of \(cos (3+4x)=\)____

1. \(\frac{\pi}{4}\)
2. \(\frac{-\pi}{4}\)
3. \(\frac{\pi}{2}\)
4. \(\frac{-\pi}{2}\)

Correct Ans: C

Solution:

\[Given:
\cos(3 + 4x)
\]

\[
\text{Period} = \frac{2\pi}{|B|}
\quad \text{for} \quad \cos(Bx + C)
\]

\(\rightarrow\) The function is in the form \(\cos(Bx + C)\), with:

\(\rightarrow\) \(B = 4\)

\(\rightarrow\) \(C = 3\)


\[
\text{Period} = \frac{2\pi}{|4|} = \frac{2\pi}{4} = \frac{\pi}{2}
\]

Q73.\(\vert\hat{i} - 2\hat{j} - 2\hat{k}\vert = \)______

1. \(3\)
2. \(-3\)
3. \(\pm3\)
4. \(9\)

Correct Ans: A

Solution:

\[
\vec{A} = \hat{i} - 2\hat{j} - 2\hat{k}
\]



\[
|\vec{A}| = \sqrt{a^2 + b^2 + c^2}
\]


\[
|\vec{A}| = \sqrt{1^2 + (-2)^2 + (-2)^2}
= \sqrt{1 + 4 + 4}
= \sqrt{9}
= 3
\]

Q74.\((\hat{i} \times \hat{j}) \circ \hat{k}=\)____

1. \(\hat{i}\)
2. \(\hat{k}\)
3. \(0\)
4. \(1\)

Correct Ans: D

Solution:

\[Given:
(\hat{i} \times \hat{j}) \circ \hat{k}
\]
Cross product:
\[
\hat{i} \times \hat{j} = \hat{k}
\]
Dot product:
\[
\hat{k} \cdot \hat{k} = 1
\]

\[
(\hat{i} \times \hat{j}) \circ \hat{k} = 1
\]

Q75.If the lines \(x-2y=3\) and \(3y+px-1=0\) are perpendicular to each other then \(p=\)____

1. \(\frac{3}{2}\)
2. \(\frac{-3}{2}\)
3. \(6\)
4. \(-6\)

Correct Ans: C

Solution:

Given:

1. \(x - 2y = 3\)

2. \(3y + px - 1 = 0\)
\[
x - 2y = 3 \Rightarrow -2y = -x + 3 \Rightarrow y = \frac{1}{2}x - \frac{3}{2}
\]

\(\therefore\) slope \(m_1 = \frac{1}{2}\)





Line 2:

\[
3y + px = 1 \Rightarrow 3y = -px + 1 \Rightarrow y = \frac{-p}{3}x + \frac{1}{3}
\]

\(\therefore\) slope \(m_2 = \frac{-p}{3}\)



\(\Rightarrow\) The condition for perpendicular lines:
\[
m_1 \cdot m_2 = -1
\]

\[
\frac{1}{2} \cdot \left( \frac{-p}{3} \right) = -1
\Rightarrow \frac{-p}{6} = -1
\Rightarrow p = 6
\]

Q76.A letter of adjustment is generally written in response to _______________.

1. letter of inquiry
2. request letter
3. order letter
4. complaint letter

Correct Ans: D

Solution:

\(\Rightarrow\) A letter of adjustment is written in response to a \(\textbf{complaint letter}\) to address grievances or resolve issues.

Q77.Which of the following statement is correct about letter of inquiry?

1. written to offer a product.
2. written to seek details about product or service.
3. written to start investigation..
4. written to raise a complaint.

Correct Ans: B

Solution:

\(\Rightarrow\) A letter of inquiry (B) seeks details about products/services, distinct from complaints or offers.

Q78.Which of the following is an essential part of business letter?

1. Executive summary
2. Identification initials.
3. Inside address
4. Carbon copy notation

Correct Ans: C

Solution:

\(\Rightarrow\) The \(\textbf{inside address}\) (recipient's address) is essential in business letters for formal communication.

Q79.Which of the following parts is used to take a courteous leave from a letter?

1. Greetings
2. Salutation
3. Complimentary close
4. Enclosure

Correct Ans: C

Solution:

\(\Rightarrow\) The \(\textbf{complimentary close}\) (e.g., "Sincerely") is the courteous farewell in a letter.

Q80.Give the full form of 'PS' used in letter writing.

1. Please
2. Post Service
3. Personnel Service
4. Post Script

Correct Ans: D

Solution:

\(\Rightarrow\) "PS" stands for \(\textbf{Post Script}\), used to add information after the main message.

Q81.The talented singer danced quickly. (Identify the adverb)

1. talented
2. quickly
3. danced
4. singer

Correct Ans: B

Solution:

\(\Rightarrow\) The adverb \(\textbf{quickly}\) modifies the verb "danced," describing how the action was performed.

Q82.The captain along with ten players ______________ arrived at the stadium. (Select the correct option)

1. has
2. have
3. is
4. are

Correct Ans: A

Solution:

\(\Rightarrow\) With "captain along with," the singular verb \(\textbf{has}\) agrees with the subject "captain."

Q83.None of the products _____________ up to the mark, so we returned them all. (Select the correct option)

1. is
2. are
3. was
4. were

Correct Ans: D

Solution:

\(\Rightarrow\) "None" with plural "products" requires plural verb \(\textbf{were}\) in past tense.

Q84.There is a church ___________ the lake. (Select the correct option)

1. over
2. on
3. between
4. above

Correct Ans: B

Solution:

\(\Rightarrow\) The church is located \(\textbf{on}\) the lake's edge (surface contact), not above/over.

Q85.He ____________ to the gym every morning before work. (Select the correct option)

1. goes
2. went
3. is going
4. go

Correct Ans: A

Solution:

\(\Rightarrow\) Present simple tense \(\textbf{goes}\) indicates habitual action ("every morning").

Q86.Select the correct spelling.

1. Fahrenhit
2. Ferrenhit
3. Fahrenheit
4. Fahrenheat

Correct Ans: C

Solution:

\(\Rightarrow\) Correct spelling: \(\textbf{Fahrenheit}\), named after physicist Daniel Fahrenheit.

Q87.Select the correct spelling.

1. Inconvenience
2. Inconveninse
3. Inconvinience
4. Inconviniance

Correct Ans: A

Solution:

\(\Rightarrow\) Correct spelling: \(\textbf{Inconvenience}\) (meaning "trouble" or "hardship").

Q88.Identify the correct sentence.

1. The criminals arrested by police.
2. The police are arrested the criminals.
3. The police were arrested the criminals.
4. The police arrested the criminals.

Correct Ans: D

Solution:

\(\Rightarrow\) Active voice correct: \(\textbf{"The police arrested the criminals"}\). Others are passive/grammatically incorrect.

Q89.Identify the correct sentence.

1. Shreya is tired as she had worked since 7 o'clock.
2. Shreya is tired as she has been working since 7 o'clock.
3. Shreya was tired as she has worked since 7 o'clock.
4. Shreya is tired as she working since 7 o'clock.

Correct Ans: B

Solution:

\(\Rightarrow\) Present perfect continuous \(\textbf{"has been working"}\) shows ongoing action from past to present.

Q90.Identify the correct sentence.

1. The father purchased a vividly illustrated children's dictionary for his daughter.
2. The father purchased a child's vividly illustrated dictionary for her daughter.
3. The father purchased a children's vividly illustrated dictionary for his daughter.
4. The father purchased an illustrated child's vivid dictionary for his daughter.

Correct Ans: A

Solution:

\(\Rightarrow\) Correct phrasing: \(\textbf{"vividly illustrated children's dictionary"}\) (proper adjective-noun order).

Q91.Read the following passage carefully and answer the questions:

The ancient stepwell, Chand Baori, descended into the earth like a forgotten dream. Its geometric steps, thousand precise cuts into the Sandstone, spiraled down towards the emerald depths of the water. The air within its shadowed walls was cool, a welcome respite from the scorching Rajasthani sun. Villagers, their colourful turbans and saris vibrant against the stone, gathered at the upper levels, drawing water in earthen pots. Legends whispered of a hidden chamber deep within the stepwell, a place where the spirits of the desert dwelled, guarding secrets of forgotten Kings.
A traveling musician, his sitar echoing through the vast space, played haunting ragas, his melodies blending with the gentle splash of water. A lone scholar, his spectacles perched on his nose, meticulously studied the intricate carvings on the walls,searching for clues to the stepwell's mysterious origins and the stories etched into its sandstone heart.

What was the purpose of the steps in Chand Baori?

1. To provide seating for spectators
2. To create a maze for tourists
3. To allow access to the water deep below
4. To form a decorative pattern

Correct Ans: C

Solution:

\(\Rightarrow\) Steps allow \(\textbf{access to water}\) in the stepwell, as described in the passage.

Q92.The "cool shadowed walls" of the stepwell provide:

1. A place for loud celebrations.
2. A relief from the desert heat.
3. A place for modern art display.
4. A site for industrial activity.

Correct Ans: B

Solution:

\(\Rightarrow\) "Cool shadowed walls" provide \(\textbf{relief from desert heat}\), contrasting the "scorching sun."

Q93.According to legends, what was hidden deep within the stepwell?

1. A treasure vault
2. Sacred water
3. A secret passage to the fort
4. A chamber of desert spirit

Correct Ans: D

Solution:

\(\Rightarrow\) Legends mention a \(\textbf{chamber of desert spirits}\) guarding secrets.

Q94.The phrase "forgotten dream" used to describe Chand Baori suggests:

1. The stepwell's historical significance and potential obscurity.
2. The stepwell's modern architectural design.
3. The stepwell's role as a tourist attraction.
4. The stepwell's frequent use by villagers.

Correct Ans: A

Solution:

\(\Rightarrow\) "Forgotten dream" implies \(\textbf{historical significance and obscurity}\), not modern use.

Q95.What was the scholar searching for in the carvings?

1. Precious gems
2. Ancient map of desert
3. Clues to stepwell's origin
4. Hidden doorways

Correct Ans: C

Solution:

\(\Rightarrow\) The scholar studies carvings for \(\textbf{clues to the stepwell's origin}\).

Q96.While communicating, the process of understanding the original idea of the message is called ______________ .

1. Decoding
2. Feedback
3. Encoding
4. Transmission

Correct Ans: A

Solution:

\(\Rightarrow\) \(\textbf{Decoding}\) is interpreting the sender's message by the receiver.

Q97.____________ is the study of body language and its effect on communication including facial expression, gestures, etc.

1. Proxemics
2. Chronemics
3. Paralanguage
4. Kinesics

Correct Ans: D

Solution:

\(\Rightarrow\) \(\textbf{Kinesics}\) studies body language (gestures, expressions).

Q98.Which of the following is not an example of verbal communication ?

1. A manager giving instructions to workers orally.
2. A man shaking hand with a foreigner.
3. A student writing a letter to the principal.
4. An oldman reading a news paper.

Correct Ans: B

Solution:

\(\Rightarrow\) \(\textbf{Shaking hands}\) is non-verbal; others involve spoken/written words.

Q99.What is common result of socio-cultural barrier to communication?

1. Enhanced comprehension.
2. Improved content clarity.
3. Misinterpretation of intent.
4. Enriched social connection.

Correct Ans: C

Solution:

\(\Rightarrow\) Socio-cultural barriers often cause \(\textbf{misinterpretation}\) due to differing norms.

Q100.Factors such as person's emotions, anxiety, stress and fear can form ____________ barrier to communication.

1. Personal Barrier
2. Psychological Barrier
3. Physical Barrier
4. Neurological Barrier

Correct Ans: B

Solution:

\(\Rightarrow\) Emotions like anxiety create \(\textbf{psychological barriers}\) to effective communication.

Q1.Burning of coal is a which type of process ?

1. Double displacement
2. Decomposition
3. Combination
4. Displacement

Correct Ans: C

Q2.\(Na_2SO_{4 (aq)} + BaCl_2(aq) \rightarrow BaSO_{4(aq)} + NaCl_{(aq)}\). Which type of reaction is this?

1. Combination
2. Double displacement
3. Decomposition
4. None of above

Correct Ans: B

Q3.Reaction of Zinc with Sulphuric acid gives Zinc Sulphate and Hydrogen. Which is the balanced equation for this chemical Change?

1. \(Zn+ 2H_2SO_4 \rightarrow 2ZnSO_4 + H_2\)
2. \(2Zn+ H_2SO_4 \rightarrow ZnSO_4 + 2H_2\)
3. \(Zn+ H_2SO_4 \rightarrow ZnSO_4 + H_2\)
4. None of above

Correct Ans: C

Q4.The outer layer of the teeth is made-up of

1. Calcium nitrate
2. Potassium phosphate
3. Calcium chloride
4. ) Calcium phosphate

Correct Ans: D

Q5.The pH of aqueous solution of which salt is 7.0 ?

1. \(KNO_3\)
2. \(NH_4CL\)
3. \(CH_3COONa\)
4. \(Na_2CO_3\)

Correct Ans: A

Q6.Metal oxide + Acid \(\rightarrow\) _____

1. Base + Water
2. Salt+ Water
3. Acid + Salt
4. None of these

Correct Ans: B

Q7.State the molecular formula of Sodium Zincate.

1. \(Na_2ZnO_3\)
2. \(Na_2ZnO_2\)
3. \(NaZnO_2\)
4. \(Na_2Zn_2O_2\)

Correct Ans: B

Q8.How many electrons are present in the outermost shell of fluorine?

1. 9
2. 7
3. 2
4. 5

Correct Ans: B

Q9.Which of the following methods is suitable for preventing an iron frying pan from rusting?

1. Applying grease
2. Applying paint
3. Applying a coating of zinc
4. All of the above.

Correct Ans: C

Q10.Which of following metals is highly malleable?

1. Gold
2. Lead
3. Both (A) and (B)
4. None of these

Correct Ans: A

Q11._____ is not valid data type in MS-Excel.

1. Number
2. Character
3. Label
4. Date/time

Correct Ans: C

Q12.What is the max zoom percentage in MS-PowerPoint?

1. 400
2. 300
3. 200
4. 100

Correct Ans: A

Q13.Which is not in MS-Word ?

1. ltalic
2. Magic tool
3. Font
4. Bold

Correct Ans: B

Q14.CPU consist of

1. ALU + CU
2. ROM + ALU
3. RAM + ROM
4. None of the above

Correct Ans: A

Q15.Which of the following is not OS (Operating System)

1. UNIX
2. MS-DOS
3. LINUX
4. Microsoft Office

Correct Ans: D

Q16.Which pollutant is commonly associated with "blue baby Syndrome" in infants?

1. Lead
2. Arsenic
3. Mercury
4. Nitrate

Correct Ans: D

Q17.Clouds are present in _______ layers of atmosphere?

1. Stratosphere
2. Troposphere
3. Mesosphere
4. Thermosphere

Correct Ans: B

Q18.CFCs are not recommended to be used in refrigerators because they_______

1. Increase temperature
2. Affect environment
3. Deplete ozone
4. Affect human body

Correct Ans: C

Q19.What is the approximate efficiency range of modern solar photovoltaic (PV) panels in converting Sunlight in to electricity?

1. 5- 10%
2. 15 -20%
3. 20 -30%
4. 40 - 50%

Correct Ans: B

Q20.Which pollutant is primarily responsible for causing respiratory problems and cardiovascular diseases in humans?

1. Lead
2. Benzene
3. Particulate matter (PM10)
4. Carbon Monoxide (CO)

Correct Ans: C

Q21.What is the S.I unit of power?

1. Joule
2. Volt
3. Watt
4. Ampere

Correct Ans: C

Q22.The pitch of micrometer screw is 0.5 mm. There are 50 divisions on it's circular scale. What will be the least count of the screw?

1. 0.1 mm
2. 0.001 mm
3. 1 mm
4. 0.01 mm

Correct Ans: D

Q23.10 dyne= ________N?

1. \(10^{-5}\)
2. \(10^{-4}\)
3. \(10^{5}\)
4. \(10^{7}\)

Correct Ans: B

Q24.What is the unit of Energy in CGS.

1. Newton
2. Watt
3. Joule
4. Arg

Correct Ans: The correct answer does not align perfectly with the provided options

Q25.The refractive index of water is found to have the values 1.30, 1.32, 1.34, 1.35, 1.31. Calculate the mean absolute error.

1. 0.01254
2. 0.1254
3. 1.254
4. 0.001254

Correct Ans: The correct answer does not align perfectly with the provided options

Q26.Which instrument is used to measure "Inner diameter of the ring"?

1. Vernier caliper
2. Micrometer screw
3. Spherometer
4. Physical balance

Correct Ans: A

Q27.The mathematical expression for Newton's second law is___________

1. \(F=mv\)
2. \(P=mv\)
3. \(F=ma\)
4. \(P=ma\)

Correct Ans: C

Q28.Find the acceleration produced by applying a force of \(30\: N\) on an object of mass of \(5\: kg\).

1. \(0.6\:m/s^2\)
2. \(6\:m/s^2\)
3. \(6\:m/s\)
4. \(0.6\:m/s\)

Correct Ans: B

Q29.__________are the examples of impulse of force.

1. China wares are wrapped in paper while packing.
2. Bogies of a train are provided with the buffers.
3. Both (A) and (B)
4. None of above

Correct Ans: C

Q30.A body is moving in a vertical circular motion, which one of the following forces does not experience?

1. Force of gravity
2. Centripetal force
3. Friction force
4. Centrifugal force

Correct Ans: C

Q31.___________is the field force.

1. Gravitational force
2. Magnetic force
3. Electrical force
4. All of above

Correct Ans: D

Q32.The work done by the external forces on a system equals the changes in___________

1. Total energy
2. Kinetic energy
3. Potential energy
4. None of these

Correct Ans: A

Q33.\(6\:V\) battery is connected across a resistance \(R\). The current through \(R\) is \(0.4\: mA\). What will be the value of \(R\)?

1. \(10\: k\Omega\)
2. \(15\: k\Omega\)
3. \(20\: k\Omega\)
4. \(24\: k\Omega\)

Correct Ans: B

Q34.___________is the Unit of permitivity.

1. \( N m^2 /C^2\)
2. \(A/m\)
3. \(N /m^2C\)
4. \(C^2 / N m^2\)

Correct Ans: D

Q35.The Electric flux depends on the__________

1. Electric field intensity
2. Area
3. Angle between the surface and the electric field.
4. All of these

Correct Ans: D

Q36.Inverse of Resistance is known as__________

1. current
2. specific resistance
3. conductance
4. voltage

Correct Ans: C

Q37.What is the effective value of resistance when two resistors \(10\:\Omega\) and \(20\:\Omega\) are connected in parallel combination?

1. \(10\:\Omega\)
2. \(20\:\Omega\)
3. \(30\:\Omega\)
4. \(6.6\:\Omega\)

Correct Ans: D

Q38.The Unit of capacitance is__________

1. Q/C
2. C/V
3. Q/V
4. C

Correct Ans: B

Q39.Arrange the metals Aluminium, Copper, Iron and Silver in increasing order of thermal conductivity.

1. Iron, Aluminium, Copper, Silver
2. Aluminium, Iron, Copper, Silver
3. Copper, Iron, Silver, Aluminium
4. Iron, Copper, Aluminium, Silver

Correct Ans: A

Q40.At what temperature are Celsius and Fahrenheit equal?

1. \(40^\circ C\)
2. \(40^\circ F\)
3. \(-40^\circ C\) and \(-40^\circ F\)
4. None of above

Correct Ans: C

Q41.Unit of heat capacity is

1. \(J/K\)
2. \(Cal/K\)
3. \(Cal/^\circ C\)
4. All of above

Correct Ans: D

Q42.With rising temperatures, the thermal conductivity will be_________

1. Decreased
2. Increased
3. Remain constant
4. Zero

Correct Ans: The correct answer does not align perfectly with the provided options

Q43.The mathematical formula of specific heat is___________

1. \(C = Q / m \Delta T\)
2. \(Q = C / m \Delta T\)
3. \(H_c = Q / \Delta L\)
4. \(Q = H_c / \Delta L\)

Correct Ans: A

Q44.A person is having temperature of \(104^\circ F\). Convert it in Celsius.

1. \(38^\circ C\)
2. \(40^\circ C\)
3. \(-40^\circ C\)
4. \(-38^\circ C\)

Correct Ans: B

Q45.Which of the following is not a type of electromagnetic wave?

1. Sound wave
2. Light wave
3. Gamma Ray
4. Micro wave

Correct Ans: A

Q46.Which type of wave is a light wave?

1. Longitudinal
2. Transverse
3. Both (A) and (B)
4. None of the above

Correct Ans: B

Q47.The frequency of sound wave is \(2\:kHz\) and it's wave length is \(2\:m\). What is the speed of sound wave?

1. \(2000 \:m/s\)
2. \(400 \:m/s\)
3. \(200 \:m/s\)
4. \(4000 \:m/s\)

Correct Ans: D

Q48.__________is not the characteristics of LASER.

1. Coherent
2. Monochromatics
3. Divergent
4. High intensity

Correct Ans: C

Q49.Optical fibre works on the principle of___________

1. Total internal reflection
2. Polarization
3. Refraction
4. Differaction

Correct Ans: A

Q50.A volume of an auditorium is \(6000 \: m^3\) . The total absorption by the surfaces is \(1000\: O.W.U.\) Then calculate reverberation time.

1. 9 second
2. 0.966 second
3. 90 second
4. 9.6 second

Correct Ans: B

Q51.\(\lim_{x \rightarrow 0} (\frac{10^x-5^x}{x})\) = _____

1. \(\log_e \frac{1}{2}\)
2. \(\log_e 10\)
3. \(\log_e 5\)
4. \(\log_e 2\)

Correct Ans: D

Q52.\(\lim_{n \rightarrow \infty} \frac{3n^2 - 11n -13}{(4n-5)(7-6n)}\) = _____

1. \(\frac{1}{4}\)
2. \(-\frac{1}{8}\)
3. \(\frac{1}{6}\)
4. \(-\frac{1}{4}\)

Correct Ans: B

Q53.If \(\text{f(x)=\(log_4\)(x) then f(64) = ____ }\)

1. \(3\)
2. \(-3\)
3. \(6\)
4. \(\frac{1}{3}\)

Correct Ans: A

Q54.\(\frac{d}{dx} (\cos^2 x)\) = _____

1. \(\sin 2x\)
2. \(-\sin 2x\)
3. \(\cos 2x\)
4. \(-\cos 2x\)

Correct Ans: B

Q55.\(\frac{d}{dx} [\log (\sqrt{x^2-9})]\) = _____

1. \(\frac{1}{\sqrt{x^2-9}}\)
2. \(\frac{x}{\sqrt{x^2-9}}\)
3. \(\frac{9}{{x^2-9}}\)
4. \(\frac{x}{{x^2-9}}\)

Correct Ans: D

Q56.If \(x=\csc \theta\) and \(y=\cot \theta\) then \(\frac{dy}{dx}\) = ____

1. \(\sec \theta\)
2. \(\csc \theta\)
3. \(\sin \theta\)
4. \(\cos \theta\)

Correct Ans: A

Q57.The necessary condition for the function \(f(x)\) to be minimum at \(x=a\) is _____

1. \(f^{"} (a) >0\)
2. \(f^{"} (a) <0\)
3. \(f^{'} (a) >0\)
4. \(f^{'} (a) <0\)

Correct Ans: A

Q58.\(\int \cos (10x-17) dx\) =____ \(+ c\)

1. \(10 \sin (10x-17)\)
2. \(-10 \sin (10x-17)\)
3. \(\frac{1}{10} \sin (10x-17)\)
4. \(-\frac{1}{10} \sin (10x-17)\)

Correct Ans: C

Q59.\(\int_{-1}^1 \sin^5 x \cos^8 x \: dx\) = ____

1. \(-1\)
2. \(0\)
3. \(\frac{1}{2}\)
4. \(\frac{1}{4}\)

Correct Ans: B

Q60.\(\int e^x (\csc^2 x- \cot x) dx\) =____\(+c\)

1. \(e^x \csc^2 x\)
2. \(-e^x \csc^2 x\)
3. \(e^x \cot x\)
4. \(-e^x \cot x\)

Correct Ans: D

Q61.\(\int \frac{x-3}{x^2-6x+40} dx\) = ____\(+c\)

1. \(\frac{1}{2} \log \: \lvert x^2-6x+40\rvert \)
2. \(-\frac{1}{2} \log \: \lvert x^2-6x+40\rvert \)
3. \(2 \log \: \lvert x^2-6x+40\rvert \)
4. \(-2 \log \: \lvert x^2-6x+40\rvert \)

Correct Ans: A

Q62.\(\log_{\frac{1}{81}} \frac{1}{9}\) = ____

1. \(9\)
2. \(\frac{1}{9}\)
3. \(\frac{1}{2}\)
4. \(-\frac{1}{2}\)

Correct Ans: C

Q63.\(4^{log_2 3} + 2^{log_8 27} =\) ____

1. 9
2. 10
3. 11
4. 12

Correct Ans: D

Q64.If the mean of the observations \(\text{19,15,12,k,8,3}\) is \(11\), then \(\text{k}=\)___

1. 8
2. 9
3. 10
4. 11

Correct Ans: B

Q65.If \(A= \begin{bmatrix} 1 & -1 \\ 1 & 2 \end{bmatrix}\) and \(B= \begin{bmatrix} 2 & 1 \\ -1 & 3 \end{bmatrix}\) then \((AB)^T\)= \(_{…..........}\)

1. \( \begin{bmatrix} 3 & -2 \\ 7 & 0 \end{bmatrix}\)
2. \( \begin{bmatrix} 3 & 0 \\ -2 & 7 \end{bmatrix}\)
3. \( \begin{bmatrix} 3 & -2 \\ 0 & 7 \end{bmatrix}\)
4. \( \begin{bmatrix} 3 & 0 \\ 7 & -2 \end{bmatrix}\)

Correct Ans: B

Q66.If \(A= \begin{bmatrix} 1 & 2 & 1 \\ 2 & 1 & 3 \\ 1 & 1 & 0 \end{bmatrix} \) then \( |A|= _{----------}.\)

1. -3
2. 3
3. -4
4. 4

Correct Ans: D

Q67.If \(A= \begin{bmatrix} 2 & -1 \\ 3 & 1 \end{bmatrix}\) then \(A^{-1}= _{----------}.\)

1. \( \frac{1}{5} \begin{bmatrix} 1 & 1 \\ -3 & 2 \end{bmatrix}\)
2. \( \frac{1}{5} \begin{bmatrix} 2 & 1 \\ -3 & 1 \end{bmatrix}\)
3. \( \frac{1}{5} \begin{bmatrix} 1 & -1 \\ 3 & 2 \end{bmatrix}\)
4. \( \frac{1}{5} \begin{bmatrix} -2 & 3 \\ -1 & -1 \end{bmatrix}\)

Correct Ans: A

Q68.If \(A= \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix}\) and \(B= \begin{bmatrix} 1 & 0 \\ 2 & 3 \end{bmatrix}\) then \(3B-2A=_{…..........}.\)

1. \( \begin{bmatrix} 4 & -3 \\ -1 & 6 \end{bmatrix}\)
2. \( \begin{bmatrix} 4 & -3 \\ -1 & -6 \end{bmatrix}\)
3. \( \begin{bmatrix} -1 & 2 \\ 4 & -9 \end{bmatrix}\)
4. \( \begin{bmatrix} -1 & 2 \\ 4 & 9 \end{bmatrix}\)

Correct Ans: D

Q69.\(\sin{(225^\circ)}= _{…..........}.\)

1. \(\frac{-1}{\sqrt{2}}\)
2. \(\frac{1}{\sqrt{2}}\)
3. \(\frac{\sqrt{3}}{2}\)
4. \(\frac{-1}{2}\)

Correct Ans: A

Q70.If \(\tan{\theta}=-\frac{12}{5}, \: \: \frac{3 \pi}{2}<\theta <2 \pi \) then \(\cos{\theta}= _{…..........}.\)

1. \(\frac{-12}{13}\)
2. \(\frac{12}{13}\)
3. \(\frac{5}{13}\)
4. \(\frac{-5}{13}\)

Correct Ans: C

Q71.\(\cos^{-1} (-\frac{\sqrt{3}}{2})= _{…..........}.\)

1. \(\frac{2\pi}{3}\)
2. \(\frac{-\pi}{6}\)
3. \(\frac{5\pi}{3}\)
4. \(\frac{5\pi}{6}\)

Correct Ans: D

Q72.If \(|\overline{x} \times \overline{y}| = |\overline{x}| = |\overline{y}|= \sqrt{2}\) then \((\angle {\overline{x}, \overline{y}})= _{…..........}.\)

1. \(\frac{\pi}{3}\)
2. \(\frac{\pi}{4}\)
3. \(\frac{\pi}{6}\)
4. \(\frac{\pi}{2}\)

Correct Ans: B

Q73.If vectors \(( 2,\: 3,\: a )\) and \(( 3,\: -1,\: 4 )\) are perpendicular then \(a= _{…..........}.\)

1. \(\frac{-3}{4}\)
2. \(\frac{3}{4}\)
3. \(\frac{4}{3}\)
4. \(\frac{-4}{3}\)

Correct Ans: A

Q74.If the centre of the circle \(x^2+y^2-6my+11=0\) is \((0,\: -3)\) then \(m = _{…..........}.\)

1. 2
2. -2
3. 1
4. -1

Correct Ans: D

Q75.Equation of the line passing through the points \((1, \: -1)\) and \((-1, \: 1)\) is \(_{…..........}.\)

1. \(2x+y-1=0 \)
2. \( x+2y-1=0 \)
3. \( x+y=0 \)
4. \( x+2y+1=0 \)

Correct Ans: C

Q76.Which of the following is not a part of the business letter?

1. Photo
2. Salutation
3. Date
4. Signature

Correct Ans: A

Q77.A letter is incomplete and worthless without_________.

1. Signature
2. Postscript
3. Enclosure
4. Photo

Correct Ans: A

Q78.Give the full form of C.O.D.

1. Cash on delay
2. Cash on delivery
3. Cash on order
4. Cash on distance

Correct Ans: B

Q79.Hurrah! I have passed the examination. Identify the interjection.

1. Examination
2. Passed
3. Hurrah!
4. The whole sentence.

Correct Ans: C

Q80.The dog is sitting _________ the cot. Select appropriate option.

1. under
2. into
3. between
4. up

Correct Ans: A

Q81.The Sun __________ in the East. Select appropriate option.

1. raise
2. rises
3. rise
4. raised

Correct Ans: B

Q82.Your family __________ a happy family. Select appropriate option.

1. are
2. is
3. has
4. have

Correct Ans: B

Q83.Do you have ____________ doubt in this question paper? Select appropriate option.

1. some
2. any
3. many
4. much

Correct Ans: B

Q84.Select the correct spelling.

1. Playwright
2. Playwrite
3. Playright
4. Playrite

Correct Ans: A

Q85.Select the correct spelling.

1. Enterpeneur
2. Entrepreneur
3. Enterpreneur
4. Entrepeneur

Correct Ans: B

Q86.Choose the correct grammatical sentence.

1. People were coming, going and ignorant him.
2. People were coming, going and ignoring him.
3. People where coming, going and ignoring him
4. People were coming, going and ignored him.

Correct Ans: B

Q87.Choose the correct grammatical sentence.

1. I like drawing my coworkers and my cat.
2. I Like drawing, my coworkers and my cat.
3. I like drawing, my coworkers, and, my cat.
4. I, Like, drawing, my coworkers, and, my, cat.

Correct Ans: B

Q88.Choose the correct grammatical sentence.

1. The ship was wrecked, and every man, woman and child have drowned.
2. The ship was wrecked, and every man, woman, and child are drowned.
3. The ship was wrecked, and every man, woman and child is drowned.
4. The ship was wrecked, and every man, woman and child was drowned.

Correct Ans: D

Q89.\(\textbf{Read the following passage carefully and answer the questions: (Q.No. 089 to 093)}\)


The science of fireworks is technically called 'pyrotechnics' from the Greek word 'pyr' meaning fire and 'technics' meaning an art. Pyrotechnics includes not only fireworks but also whole range of devices that use similar materials and principles, from safety matches that we use every day to solid fuel rocket boosters of space shuttle. The household match is considered a special pyrotechnic device, as all the pyrotechnic effect heat, smoke, light, gas and sound are present in it.

Some historians say that 'black powder', the basic material used in fireworks, was invented in India, Shukranti, written more than two thousand years ago, has references to weapons similar to guns and projectile weapons. However, the Chinese are generally considered the pioneers of pyrotechnics. They are said to have developed, black powered more than one thousand years ago. It took at least two thousand years for the knowledge to spread to the West, and it was only in 1242 that an English Monk. Roger Bacon, revealed the formula for "black powder". He considered it such a dangerous substance that he wrote of it in a code language.

\(\mathbf{Ques.}\) As per some historians 'Black Powder was invented in _________.

1. India
2. China
3. Greek
4. None of the above

Correct Ans: A

Q90.Roger Bacon was _________.

1. a Chinese writer
2. an Indian historian
3. an English Monk
4. a Greek philosopher

Correct Ans: C

Q91.Who wrote about 'Black Powder in code language?

1. Shukranti
2. Roger Bacon
3. Chinese
4. Greek

Correct Ans: B

Q92.When was Shukranti written?

1. One thousand years ago
2. In 1242
3. Two thousand years ago
4. Modern times

Correct Ans: C

Q93.Pyrotechnics word is from

1. Indian language
2. Greek language
3. Chinese language
4. None of the above

Correct Ans: B

Q94.Verbal communication can be in __________ form.

1. written
2. oral and written
3. oral
4. none of these

Correct Ans: B

Q95.Tone of voice, voice quality, style of speaking, stress, intonation are part of _________

1. body language
2. sign language
3. paralanguage
4. code language

Correct Ans: C

Q96.The process of communication is a __________.

1. two way
2. three way
3. one way
4. single way

Correct Ans: A

Q97. "During the process of communication at every stage, there is hindrance which disturbs communication process." Such hindrance is known as

1. barrier
2. noise
3. sender
4. receiver

Correct Ans: A

Q98.Our physical appearance is an example of ____________ communication.

1. oral
2. written
3. verbal
4. non-verbal

Correct Ans: D

Q99.What is written at the top of a business letter on the left hand side.

1. Sender's address
2. Receiver's address
3. Date
4. Salutation

Correct Ans: A

Q100.Where is the salutation placed in a business letter?

1. Just above the date
2. Just below the date
3. Along with the subject
4. None of these

Correct Ans: D