Indian Army Agniveer Technical Mock Test - 7 - Indian Army Agniveer MCQ

The correct answer is Pound Sterling.

Key Points

• Pound Sterling
  • The United Kingdom and nine of its affiliated territories use Pound sterling as their currency.
  • The pound is the primary unit of sterling and is frequently used interchangeably with "pound sterling" in international contexts.
  • The oldest currency that is still in circulation and has been used continuously since its origin is the sterling.
  • After the US dollar, the euro, and the Japanese yen, it is currently the fourth most traded currency on the foreign exchange market.

Additional Information

• Dollar
  • Since the end of World War II, the dollar has served as the primary reserve currency for the whole world and is the most often used currency for international trade.
• Yen
  • Japan's national currency is the yen.
  • After the US dollar and the euro, it is the third most traded currency on the foreign exchange market.
  • In addition, it is frequently used as a third reserve currency in place of the euro and the US dollar.
• Rand
  • The Southern African Common Monetary Area, which includes South Africa, Namibia (with the Namibian dollar), Lesotho (alongside the Lesotho loti), and Eswatini, uses the South African rand as its official unit of exchange (alongside the Swazi lilangeni).

The correct answer is the People’s Liberation Army.

Key Points

• People’s Liberation Army is the Chinese Army’s name and is the World’s largest Military Force. It is the Armed force unit of the Chinese Communist Party.
• Chinese Army consists of Five parts Ground Force, Navy, Air Force, Rocket Force, and Strategic Support Force. It was founded on 1 August 1927.

Additional Information

The correct answer is DRDO.Key Points

• The Arjun MBT Project was initiated by the Defence Research and Development Organisation (DRDO) in 1972.
• The Arjun MBT Project was initiated by Defence Research and Development Organisation (DRDO) in 1972 with the Combat Vehicles Research and Development Establishment (CVRDE) as its lead laboratory.
• Objective:
  • To create a “state-of-the-art tank with superior firepower, high mobility, and excellent protection".

Additional Information

• Features of the Arjun Tank:
  • The Arjun MBT is equipped with an indigenously developed 120mm main rifled gun with Fin Stabilised Armour-Piercing Discarding Sabot (FSAPDS) ammunition.
  • FSAPDS is capable of destroying all known tank armour up to direct shooting range.
  • It also has a computer-controlled integrated fire control system with a stabilised sighting that works in all lighting conditions.
  • The secondary weapons include a coaxial 7.62-mm machine gun for anti-personnel and a 12.7-mm machine gun for anti-aircraft and ground targets.

The correct answer is Maratha and Kesari.

Key Points

• Lokmanya Bal Gangadhar Tilak launched the Marathi daily Kesari on January 4th, 1881.
• The publication served as a spokesperson for the fight for Indian national liberation.
• The Kesari Maratha Trust and Tilak's heirs continue to publish it.
• From Kesari Wada in Narayan Peth, Pune, Bal Gangadhar Tilak used to publish two newspapers: Kesari in Marathi and Mahratta in English.
• The newspapers were first established by Chiplunkar, Agarkar, and Tilak as a cooperative.

Additional Information

• Bal Gangadhar Tilak:
  • He was a fighter for Indian independence, a teacher, and a patriot.
  • He made up a third of the trio that comprised Lal Bal Pal.
  • The movement for Indian independence was founded by Tilak.
  • He was referred to as "The father of the Indian unrest" by British colonial officials.
  • Additionally, he received the honorific "Lokmanya," which translates as "recognized by the people as their leader."
  • He was dubbed "The Maker of Modern India" by Mahatma Gandhi.
  • Tilak was one of the first and most ardent supporters of Swaraj ('self-rule').
  • The Marathi remark he is famous for is "Swaraj is my birthright and I shall have it!"
  • He developed strong ties with a number of Indian National Congress figures, such as Bipin Chandra Pal, Lala Lajpat Rai,

Given:

Work can be finished by A, B, and C in 12, 24, and 36 days.

Formula used:

Work done = time × efficiency

Calculation:

LCM of (12,24, 36) = 72

Total work = 72

efficiency of A = 6

efficiency of B = 3

efficiency of C = 2

Time taken by (a + b + c) = 72/11

∴ The correct answer is 72/11.

Given:

The number 0.1111...

Calculation:

Let the number 0.1111... be x.

⇒ x = 0.111 -----(i)

⇒ 10x = 1.1111 -----(ii)

Subtracting (i) from (ii),

⇒ 10x - x = (1.11... ) - (0.111..)

⇒ 9x = 1

⇒ x = 1/9

∴ Option 2 is correct.

Given:

Calculation:

Given:

Number of elements in A = m

Number of elements in B = n

Concept used:

a^m/aⁿ = a^{m - n}

Number of subsets in a set = 2^{Number of elements in a set.}

Calculation:

Number of subsets in set A = 2^m

Number of subsets in set B = 2ⁿ

According to question

Number of subsets in A = 2^k + the number of non empty subsets of B

2^m = 2^k + 2ⁿ

⇒ 2^m - 2ⁿ = 2^k

Now, from option 1, m = n + 2

2^{n + 2} - 2ⁿ = 2^k

⇒ 2ⁿ(2² - 1) = 2^k

⇒ 2ⁿ ( 4 - 1) = 2^k

⇒ 2ⁿ (3) = 2^k

⇒ 3 = 2^k/2ⁿ

⇒ 3 = 2^{k - n}

As k and n are positive integers. so,there will be no value when L.H.S = R.H.S

Now, from option 2, m = n + 1

2n + 1 - 2n = 2k

⇒ 2n(2¹ - 1) = 2k

⇒ 2n (2 - 1) = 2k

⇒ 2n (1) = 2k

⇒ 2ⁿ = 2^k

As n = k is possible.

Now from option 3, m = n + p(where p are odd prime numbers)

2n + p - 2n = 2k

⇒2n(2^p - 1) = 2k

⇒2^p - 1 = 2^k/2ⁿ

⇒2^p - 1 = 2^{k - n}

As for all the values of k and n, RHS is always will be even value, but when we take the value of p, there LHS always will be odd value. Hence, this option is not correct.

Now, option 4, m = n + t for some composite number t

2n + t - 2n = 2k

Concept:

The standard equation of ellipse is given by:

, where a = semi-major axis, and b = semi-minor axis.

The eccentricity of ellipse is given by e =

Calculation:

Given,

Comparing with the general equation, we get:

a = 4, b = 2

∴ Eccentricity e = 1−b2a2

⇒ e =

⇒ e = 1−416

⇒ e = 1−14

⇒ e = 32

Now, co-ordinates of latus-rectum are given by (ae, ±b²/a)

∴ (ae, ±b2/a) = (2√3, ± 1)

Hence, AB is the latus rectum, and F and F' are foci.

∴ ar(ΔAF'B)

=  × AB × FF'

=  × 2 × 4√3

= 4√3 sq. units

∴ The area of the required triangle is 4√3 sq. units.

The correct answer is Option 3.

Given :-

If A =  and I = .

Concept used :-

since every matrix satisfies its characteristics equation.

Solution :-

We have A = [21 3−1] , its characteristics matrix is

its characteristics equation is

since every matrix satisfies its characteristics equation

⟹A2−A−5I=0

Concept: 

Leibnitz theorem:

On differentiating both sides we get

On comparing with  ayd2ydx2=ay we get

⇒ a = 9

∴ The value of a is equal to 9.

The correct answer is option 3.

The correct answer is a Negative charge.

Key Points

• When a plastic straw is rubbed with polythene, the kind of charge that the plastic straw would carry is a negative charge.
  • In this question, we can see the concept of electric charge.
  • It allows electrons and protons to stick together to form atoms.
  • The stuff that has the same charge drives each other further and this is called the law of charges.

Additional Information

• There are two types of charges:
  • Negative charge.
  • Positive charge
• Opposite charges i.e positive charge and negative charge attract each other.
• The same charges i.e positive and positive charge and negative and negative charge repel each other.

The correct answer is (A) - (3), (B) - (4), (C) - (1), (D) - (2).

Key Points:

• The correct pairs are as follows:

Additional Information:

• Poise:
  • ​According to the centimeter-gram-second system of units, the poise is the measure of dynamic viscosity (absolute viscosity).
  • Instead of the poise itself, the centipoise (1 cP = 0.01 P) is more frequently employed.
• Farad:
  • ​The International System of Units' farad (symbol: F) represents electrical capacitance, or a body's capacity to store an electrical charge (SI).
• Kelvin:
  • ​The Boltzmann constant's numerical value is set to be exactly 1.380649 x 10^-23...J K^-1 [joules per kelvin], which yields the kelvin, symbol K, as the SI unit of thermodynamic temperature.
• Calorie:
  • ​Calorie is a term used to refer to various energy or heat units.
  • The amount of heat needed to raise the temperature of 1 gramme of water by 1° Celsius at a pressure of 1 standard atmosphere was the original definition of a calorie.

The correct answer Becomes four times their original value

Concept:

• Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
• Pressure is inversely proportional to area, if the area is less then the pressure will be more.
• Pressure is directly proportional to force, if the force increases then the pressure also increases, and vice versa.

Calculation:

We have, Formula,

or

P = F/A
Now,

If the force is doubled and the area

Then we put the value in the formula

So, Pressure will become 4 times.

The correct answer is Hydrometer.

Key Points

• Hydrometer:
  • It is an instrument used to determine the specific gravity of a liquid.
  • Its operation is based on the Archimedes principle that a solid body displaces its weight within a liquid in which it floats.
  • It is made up of a thin glass or plastic tube sealed at both ends with a graduated or printed scale calibrated to specific gravity.
  • It can be divided into two general classes: liquids heavier than water and liquids lighter than water.

​

Additional Information

• Hygrometer
  • It is an instrument used in meteorological science to measure the humidity or amount of water vapour in the air.
  • It is a specially designed apparatus that calculates relative humidity in an open or enclosed area.
• ​Spectrometer
  • It is a​ device used for the precise measurement of energies or masses of the particles in a beam.
  • It is used for detecting and analyzing wavelengths of electromagnetic radiation, commonly used for molecular spectroscopy.
• ​Udometer
  • It is an instrument for measuring the amount of rainfall or snowfall.
  • It consists of a cylinder covered by a funnel-like lid.

The correct answer is It will spread the force of the bag over the large area of the shoulder of the child producing less pressure.

Key Points

• The principle that pressure is inversely related to area implies that by enlarging the area, pressure exerted can be reduced.
• This concept is applied to the design of school bags, which feature wide straps to enhance the contact area with the wearer's shoulders, thereby diminishing the pressure felt.
• Conversely, if the straps were narrow, the contact area with the shoulders would be minimized, resulting in heightened pressure on these areas.

The correct answer is Gases.

Key Points

• Gases are highly compressible because they have large intermolecular spaces between their molecules.
  • Its intermolecular force of attraction is very weak
  • Therefore, gases can be easily compressed.

Additional Information

• Compressibility -
  • The compressibility property of materials describes the effect of pressure on them.
• Liquids are always considered to be incompressible fluids.
  • The pressure exerted on a liquid does not change the density to a great extent.
• Solids have maximum strength because there is less space between their particles.

The correct answer is To reduce friction

Key Points

The correct answer is ​Total internal reflection.

Key Points

• Total internal reflection
  • It is the complete reflection of a ray of light within a medium such as water or glass from the surrounding surfaces back into the medium.
  • The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.
  • Examples -
    • The formation of a mirage.
    • Shining of an empty test tube in water.
    • Shining of a crack in a glass vessel.
    • Sparkling of a diamond.
    • Transmission of light rays in an optical fibre.

Additional Information

• Dispersion
  • Dispersion is defined as the spreading of white light into its full spectrum of wavelengths.
  • Examples -
    • Rainbow formation,
    • Petrol poured on the water will show different colours,
    • The prism splits the light into different colours on passing through it,
    • Dispersion of colours in soap bubbles, etc.
• Diffraction
  • Diffraction is the spreading of waves around obstacles.
  • Examples -
    • X-Ray Diffraction,
    • Water passing from a small gap,
    • Solar or lunar corona, sound, etc.
• Reflection
  • Reflection occurs when a light ray hits a surface and bounces off and returns to the medium from which it originated.
  • Examples -
    • Reflection of light in the mirror, in a water pool, glowing stars, lighting of the moon at night, etc.

The permeability of free space, μ0, is numerically equal to 4π x 10-7. For air and other non-magnetic materials, the absolute permeability is the same constant. For magnetic materials, absolute permeability is not a fixed constant but varies non-linearly with the flux density.

The correct answer is Dispersion.

Key Points

• Examples of Total Internal Reflection
  • Sparkling of Diamond
  • Optical Fibre Communication
  • Formation of Mirage
• When white light is passed through a glass prism it splits into its spectrum of colors (in order violet, indigo, blue, green, yellow, orange, and red) and this process of white light splitting into its constituent colors is termed as dispersion.

Additional Information

• Total internal reflection (TIR):
  • When a wave travels from a denser medium to a rarer medium, it bends away from the normal and as the angle of incidence increases in the denser medium, the angle of refraction in the rarer medium also increases and at a certain angle the angle of refraction becomes 90°. The angle of incidence is called the critical angle (C).
  • When the angle of incidence becomes greater than the critical angle, the light ray returns to the same medium after reflection from the interface. This phenomenon is called total internal reflection (TIR).

Conduction:

• Conduction is a mode of heat transfer that needs a medium for the transfer of energy.

Convection:

• Convention or convective heat transfer is the transfer of heat between two bodies by currents of moving gas or fluid.

Radiation:

• Radiation is the method of heat transmission that occurs without the help of a medium.

So, we can say that the heat from the Sun reaches the Earth through radiation.

Concept:

Steps to Balance an Equation-.

• In general, to balance an equation, here are the things we need to do-
• Count the atoms of every element in the reactants and the products.
• Use coefficients; place them in front of the compounds as needed.
• this coefficient which is used to balance the no. of atoms on both sides is called the stoichiometric coefficient.
• In a balanced chemical reaction magnitude of the charge on both sides of the arrow, must be equal. So, to maintain net neutrality in the reaction medium.
• The steps are simple, but it is a process of trial and error.

​Explanation:

In the given reaction:

Ca + Al3+ → Ca2+ + Al

The Magnitude of charge is not equal on both sides:

To do so we have to multiply Al³⁺ with 2 and Ca²⁺ with 3,

Ca + 2Al3+ → 3Ca2+ + Al

But now the number of atoms on both side are not the same, hence we have to multiply Ca by 3 and Al by 2 to balance no. of atoms on both the side

3Ca + 2Al3+ → 3Ca2+ + 2Al

thus, the stoichiometric coefficient of Ca is 3.

Additional Information

• According to the law of conservation of mass, when a chemical reaction occurs, the mass of the products should be equal to the mass of the reactants.
• A balanced chemical equation occurs when the number of the atoms involved on the reactants side is equal to the number of atoms on the products side

The correct answer is option 3.

Concept:

• Chemical Reaction: Atoms are rearranged during chemical reactions to create new compounds.
• Aluminum oxide (Al₂O₃), which is made up of negatively and positively charged aluminum ions (Al₃⁺) and oxide ions (O₂^-), is an example of an ionic compound. Aluminum chloride (AlCl₃), on the other hand, is a covalent molecule since chlorine and aluminum atoms share electrons in it.

Explanation:

In this response:

• Aluminum chloride (AlCl₃) is created when carbon (C) and aluminum oxide (Al₂O₃) interact.
• The chlorine atoms required to create AlCl₃ are present in the chlorine gas (Cl₂).
• As a reducing agent, carbon (C) aids in releasing oxygen from Al₂O₃ and enables aluminum to interact with chlorine.
• You end up with products such as dry aluminum chloride (AlCl3) and carbon dioxide (CO₂).
• Therefore, the proper technique to chlorinate Al₂O₃ into dry AlCl₃ is to heat a mixture of Al₂O₃ and carbon in the presence of dry chlorine gas (option 3).

The correct answer is 3Fe + 4H2O → Fe3O4 + 4H2.

Key Points

• Balancing chemical equations involves adding stoichiometric coefficients to the reactants and products.
  • This is important because a chemical equation must obey the law of conservation of mass and the law of constant proportions, i.e. equal numbers of atoms of each element must be present on the reactant side and product side of the equation.
• The chemical reaction is given as
  • Fe + H₂O → Fe₃O₄+ H₂
• The balanced chemical equation can be written as
  • Reactant Products
  • Fe = 1 Fe = 3
  • H = 2 H = 2
  • O = 1 O = 4
• 3Fe + 4H₂O → Fe₃O₄ + 4H₂

• The oxidizing power of an element is its ability to oxidize another element.
• The halogens are a group of non-metals that are very good oxidizing agents.
• The oxidizing power of the halogens decreases as you move down the group from fluorine to iodine.
• This is because the electronegativity of the halogens decreases as you move down the group.
• Electronegativity is a measure of an atom's ability to attract electrons.
• The more electronegative an atom is, the more likely it is to oxidize another atom.
• Therefore, the most powerful oxidizing agent among the halogens is fluorine, followed by chlorine, bromine, and iodine.

The electrode potentials of halogens decrease in the order:
F2 (+2.87 V) > Cl2 (+1.36 V) > Br2 (+1.09 V) > I2 (+0.54 V)

Higher electrode potential means a stronger oxidizing agent.

Hence, correct arrangement of halogens in the increasing order of their oxidizing nature is I, Br, CI, F

The correct answer is Baking soda.Key Points

• Sodium hydrogencarbonate is also known as baking soda.
• Baking soda is a white crystalline powder that is commonly used as a leavening agent in baking.
• It is also used for cleaning and as a natural deodorizer.

Additional Information

• Washing soda is also known as sodium carbonate.
  • It is a white powder that is used for laundry and cleaning.
• Plaster of Paris is a white powder that hardens when mixed with water.
  • It is commonly used for casting and molding.
• Bleaching powder is also known as calcium hypochlorite.
  • It is a white powder that is used for disinfecting and bleaching.

Correct answer: 4)

Concept:

• Chemical reactions that absorb (or use) energy overall are called endothermic. In endothermic reactions, more energy is absorbed when the bonds in the reactants are broken than is released when new bonds are formed in the products.
• Endothermic reactions are accompanied by a decrease in the temperature of the reaction mixture.
• Chemical reactions that release energy are called exothermic. In exothermic reactions, more energy is released when the bonds are formed in the products that are used to break the bonds in the reactants.
• Exothermic reactions are accompanied by an increase in the temperature of the reaction mixture.

Explanation:

• Carbon reacts with Sulphur to give carbon disulphide, which is an endothermic reaction, where 92kJ/mol of heat is absorbed.
• Since the sum of F-F and O=O bond energy is much greater than the F-O-F bond.
• ΔH is positive for the reaction.
• So, this is an endothermic reaction.
• In the case of , when N2 reacts with O2, heat is absorbed as the sum of N-N and O=O bond energy is much greater than the N-O-N bond.
• In case of
• H₂(g) + 1/2O₂(g) → H₂O(g), ΔH = -57.82 kcal
• heat is released so this is an exothermic process.

Conclusion:

Thus,  is not an endothermic process.

The correct answer is Zinc.

Key Points

• Hydrogen gas can be easily prepared in the laboratory.
• This preparation of hydrogen gas usually involves the action of dilute sulphuric acid or dilute hydrochloric acid on zinc granules.
• Granulated zinc is ideal for the preparation of hydrogen gas in chemical laboratories because it usually contains a small amount of copper, which has the ability to act as a catalyst to the associated chemical reaction and, therefore, increase the rate of the chemical reaction without actually participating in it.
• The chemical reaction that takes place in formation of Hydrogen gas is
  • Zn + H₂SO₄ → ZnSO₄ + H₂
• Uses of Hydrogen gas:
  • It is used to fill many balloons and airships.
  • It is also used for the hardening of animal oils and certain vegetable oils.
  • It is widely used as a fuel in oxy-hydrogen blow pipes.

Additional Information

• Uses of Copper:
  • Electrical wiring
  • Roofing
  • Plumbing
  • Industrial machinery
• Uses of Helium:
  • Airbags
  • Cleaning rocket fuel-tank
  • Arc welding
  • Medicine and Scientific research
• Uses of Mercury:
  • Electrical and electronic equipment
  • Industrial chemicals

Explanation:

The molecular formula is C₆H₄OH_2.

Additional Information