Indian Army Agniveer Technical Mock Test - 3 - Indian Army Agniveer MCQ

The correct answer is India and Pakistan.

Key Points

• On the day of 02 July 1972, Shimla Agreement was signed between Indira Gandhi and Zulfiqar Ali Bhutto at Shimla of Himachal Pradesh.
• It was signed 8 months after the Indo-Pakistani war of 1971, which led to the splitting of Pakistan and the consequent creation of Bangladesh had ended.
• Any differences shall be settled by peaceful means and through bilateral negotiations.
• Both countries shall respect the territorial integrity of each other and not interfere in the internal matters of each other.
• The treaty also had some other terms like renewing communications, telegraph, postal, airline relations, etc. It also talked about having exchanges in the field of culture and science.
• India released 93000 Pakistani prisoners of war (POWs) who were captured after the Bangladesh war.
• It was a peace treaty signed after the Bangladesh Liberation War in 1971.
• The agreement converted the cease-fire line of December 17, 1971, into the ‘Line of Control (LOC)’ between India and Pakistan and it was agreed that “neither side shall seek to alter it unilaterally, irrespective of mutual differences and legal interpretations”.

The correct answer is cotton.

Key Points

• Black soil
  • It has occasionally been referred to as "regur," a word derived from the Telegu word "Regada." This soil is a product of the erosion of basalt from the Deccan Highlands.
  • Black soil, with its clayey characteristics, is crucial for growing cotton. High moisture retention is necessary for cotton farming.
  • Black soils are very fine-grained, black, and very argillaceous. They also contain high amounts of magnesium and calcium carbonates. They are extremely sticky and tenacious of moisture when wet.
  • They also have fair amounts of lime, magnesia, and alumina, as well as a significant abundance of iron.
  • Because this soil is most suited for the cotton crop, it is primarily referred to as black cotton soil.​​​

Additional Information

• Black soil is also good for growing crops including peanuts, wheat, tobacco, chilies, and jowar in addition to cotton.
• Organic matter, phosphorous, and nitrogen are insufficient in black soils.
• The beidellitic and montmorillonitic classes of clay minerals are often abundant in the soils.
• It is located in the Deccan trap and lava plateaus which reach south-east along the Godavari and Krishna basins and include the plateaus of Malwa, Maharashtra, Saurashtra, Chattisgarh, and Madhya Pradesh.​

The correct answer is European Space Agency and Canadian Space Agency.

Key Points

• The James Webb Space Telescope
  • It is the world's largest and most powerful space telescope.
  • It was constructed by aerospace giant Northrop Grumman Corp and was launched to space for NASA and its European and Canadian counterparts in December 2021 from French Guiana.
• The National Aeronautics and Space Administration (NASA) led the development of James Webb Space Telescope in collaboration with the European Space Agency and Canadian Space Agency.
• The James Webb Space Telescope was launched on December 25, 2021, from Kourou, French Guiana. It arrived at the Sun-Earth L2 Lagrange Point in January 2022.

Additional Information

• James Webb Space Telescope:
  • James Webb Space Telescope showed the most detailed images of the universe that mankind has ever seen.
  • After James Webb Space Telescope shared the stunning visuals, it has now sent new images that were taken in our solar system.
  • The images are of the largest planet in our solar system, Jupiter, and its moon.
  • NASA’s James Webb Space Telescope is primarily designed to conduct infrared astronomy that is expected to enable a broad range of investigations across the fields of astronomy and cosmology.

The correct answer is 1943, Singapore.

Key Points

• Subhash Chandra Bose established the 'Provisional Government of Free India' in Singapore in the year 1943.
• On July 4, 1943, Rash Behari Bose handed over the command of Azad Hind Fauj to Subhash Chandra Bose in a ceremony held at Cathay Bhawan, Singapore.
• The Azad Hind government was established on 21 October 1943.
• Japan recognized the Azad Hind government on 23 October 1943.
• Japan gave Andaman and Nicobar Islands to Azad Hind Government.
• Subhash Chandra Bose renamed Andaman as Shaheed Dweep and Nicobar as Swaraj Dweep.
• Subhash Chandra Bose was the Prime Minister, Foreign Minister and Defense Minister of India's first independent government.
• Finance Department to S.C. Chatterjee, Publicity Department to S.A. Iyer and the women's organization was handed over to Captain Lakshmi Swaminathan.

• The governments of 9 countries had given their recognition to the Azad Hind government, in which countries like Germany, Japan, Philippines were included.

The logic followed here is:​

• The 1st alphabet is increased by +4.
• The 2nd alphabet is increased by +5.
• The 3rd alphabet is increased by +6.
• The 4th alphabet is increased by +7.

Hence, the correct answer is "QGPR".

The correct answer is Kandla.

Key Points:

• Kandla is a tidal port, acknowledged as a Trade Free Zone, the largest port by volume of cargo handled.
  • Kandla, officially Deendayal Port, is a port and city in Kutch district in the state of Gujarat in western India, near the city of Gandhidham.
  • Situated on the Gulf of Kutch, it is one of the major ports of India on the west coast.
  • It is approximately 256 nautical miles southeast of Karachi port in Pakistan and about 430 nautical miles north-northwest of Mumbai port.
  • The Kandla port was constructed in the 1950s as the main port serving western India.

Additional Information

The correct answer is 4.

Key Points

• The National Emblem of India was adopted on 26 January 1950.
• It is inspired by the Lion Capital of Ashoka which is a statue from 250 BCE situated at Sarnath.
• The animals demonstrated on the pillar are horse, bull, elephant, and lion.
• The elephant denotes Buddha’s outset (the dream of a white elephant entering her womb dreamt by Buddha’s mother at the time of Buddha’s conception).
• The bull symbolizes the Zodiac sign of Buddha- Taurus.
• The horse signifies Buddha’s horse which he rode at the time of departing from the citadel.
• The lion indicates enlightenment.
• The Emblem is the part of the official letterhead of all the papers of the Government of India and also appears in the Indian currency.
• It can be seen in many Indian places and on Indian passports as well.
• Ashok Chakra on its base has been used as the center of the National Flag of India.

The figure that will replace the question mark (?) in the following figure series is shown below:

1) For '' element :

2) For '' element :

3) For '' element :

4) For '' element :

5) For '' element : Rotating in the anti-clockwise direction.

​​

Final series is :

Hence, ‘option - (1)’ is the correct answer.

Explanation:

Given, I=∫02{x}dx

where, {x} denotes the fractional part of a real number x.

We know that {x} = x - [x]; where [x] denotes the floor of x, greatest integer less than or equal to x.

Now,

Between 0 and 1, [x]=0 and between 1 and 2, [x]=1

⇒ I = 1

Concept Used:

1° = π/180 radians

and

Calculation:

limx→0sin⁡x∘x=limx→0sin⁡πx180x

⇒

Given:

Concept:

To solve such type of differential equations, simply put y = vx.

Calculation:

Putting y = vx

⇒

Now,

⇒

⇒ f′(v)f(v)dv =

Integrating both sides -

⇒ ln|f(v)| = ln|x| + lnC

⇒ f(v) = Cx

putting v = y/x back,

⇒ f(y/x) = Cx

Concept:

Binomial expansion of (x + y)ⁿ is given by

(x + y)n = ⁿC₀xⁿ + nC1xn-1y + nC2xn-2y²+.....+ nCn-1xy^n-1 + nCnyn

Calculation:

Given, ∑r=0n2r C(n, r)

Expanding the expression,

⇒ nC020 + nC1 2¹ + nC222+.....+ nCn-12n-1 + nCn2n

⇒ nC01n 20 + nC1 1n-1 2¹ + nC21n-2 22+.....+ nCn-1 2n-1 + nCn2n

Comparing with binomial expansion x = 1 and y = 2

⇒  2r C(n, r) = (1 + 2)ⁿ

⇒  2r C(n, r) = 3n

∴ The correct option is (2).

Concept:

Equation of the form solve by following the steps

1. find I. 
2. The solution will be y I.F = ∫ Q I.F dx + C

Formula used:

1. sin θ/cos θ = tan θ 2.1/cos θ = sec θ

3. e^{ln x} = x 4. ∫ sec² x = tan x

Calculation:

∴ The solution of an equation is sec x = (tan x + c)y.

Given:

x - y = -1 and 2x - 7y = 3

Calculation:

x - y = -1

⇒ 2x - 2y = -2 ----(1)

2x - 7y = 3 ------(2)

On subtracting (1) from (2), weget

⇒ -5y = 5

⇒ y = -1

So, x = -1 + y = -1 -1 = -2

∴The answer is x = -2, y = -1 .

Concept:

If first terms and common difference of AP are 'a' and 'd' respectively, then

n^th term of Ap:

T_n = a + (n - 1)d

Sum of n terms of AP:

Note: If d > 0, AP will be increasing and d < 0, AP will be decreasing.

Therefore, this is the decreasing series and sum will be maximum if its last term is positive or zero.

Let there are n positive terms, where T_n is n^th term then

Hence, we will take 31 terms for maximum sum.

Hence, sum of 31 terms of AP is given by

Hence, option 2 will be correct.

Concept:

• sin3x = 3sinx - 4sin³x
• cos3x = 4cos³x - 3cosx

Calculation:

f(x) = 3(sin x − cos x) + 4(cos3 x − sin3 x)

f(x) = 3sinx - 3cosx + 4cos³x - 4sin³x

f(x) = (3sinx - 4sin³x) + (4cos³x - 3cosx)

f(x) = sin3x + cos3x

f'(x) = 3cos3x - 3sin3x

Now, f'(x) = 0

⇒ 3cos3x - 3sin3x = 0

⇒ cos3x - sin3x = 0

⇒ sin3x = cos3x

⇒ tan3x = 1

Hence, the maximum value of given function is =

= 12+12=2

∴ The correct option is (2)

Correct answer is battery

Key Point

CONCEPT:

• Kinetic energy (KE): The energy possessed by a body by virtue of its motion is called kinetic energy.

Where m = mass of the body and v = velocity of the body

EXPLANATION:

• A ball thrown upwards has some velocity so it has kinetic energy.
• A battery is always at rest. It doesn't possess kinetic energy. The battery has chemical energy inside it.
• A moving car has some velocity so it possesses kinetic energy.
• A flying bird also has some speed. So possess kinetic energy.

correct answer is 62.5 W

Key Points

Concept:

The power consumed by a device s given as, P = VI = I2R

where, V = voltage, R = resistance, I = current

Calculation:

Given:

Current (I) = 2.5 A, Resistance (R) = 10 ohm

Power (P) = VI = I2R = (2.5)2 × 10 = 62.5W

The correct answer is Speed.

Explanation:

Speed:

• Speed is given by the distance covered by an object per unit of time.
• The magnitude of displacement in one second is called speed.
• Speed measures how fast the body is moving.

speed= total distance /total time

• The S.I unit of speed is m/s.

Additional Information

Acceleration

• It is a rate of change of velocity with respect to time.
• Acceleration is a vector quantity, SI unit is ms-2, and dimension [LT-2].
• Acceleration is represented by the slope of the velocity-time curve.

Momentum

• Momentum is defined as the quantity of motion of the body.
• Momentum has both direction and magnitude.
• Its direction is the same as that of velocity, v.
• The SI unit of momentum is kilogram-meter per second (kg m s^-1).

Force

• A push or a pull on an object is called a force.
• The SI unit of Force is Newton or kg ms-2.
• It is represented by the symbol N.

The correct answer is Parallax method.

Key Points

• Parallax:
  • It ​is the apparent movement or change in the position of an object when seen from two different angles.
    • ​The two points of view have their line of sight, and parallax is measured as half of the angle between the two lines of sight.
  • ​​Instead of measuring distances directly, triangulation involves calculating the angles between two known points and a point to be located.
    • ​Distance measurement by parallax is a special application of the principle of triangulation.
  • ​​The distance of a planet or a star from the earth cannot be measured directly with a metre scale.
    • An important method in such cases is the parallax method.

​

• Kepler's Laws of Planetary Motion
  • ​Planets move in elliptical orbits with the Sun as a focus.
  • A planet covers the same area of space in the same amount of time no matter where it is in its orbit.
  • A planet's orbital period is proportional to the size of its orbit.

CONCEPT:

• Archimedes' principle: Every object is bouncing upwards by a force equal to the weight of the fluid the object displaces. This force is also known as the bouncing force.

F_b = ρ g V_f

Where F_b is bouncing force, ρ is the density of the fluid, V_f is the volume of the displaced fluid, and g is the acceleration due to gravity.

CALCULATION:

Given that 1/3 part is out of water.

So, 2/3 part is submerged in water.

Let D is the density of the block

The density of wood/Density of Water = Part of block submerged/Total Part

D/1 = (2/3)/1

D = 2/3 = 0.67 g/cm³.

The correct answer is 4000 Å to 7000 Å

Key Points

• The visible spectrum is the portion of the electromagnetic spectrum that is visible to the human eye.
• A wavelength is the distance between two consecutive peaks of a wave.
• The wavelength of the visible spectrum is in the range of 4000 Å to 7000 Å (A is angstrom).
• The visible spectrum is VIBGYOR (Violet, Indigo, Blue, Green, Yellow, Orange, Red).
• Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers in this spectrum.

Additional Information

• The electromagnetic spectrum is the entire distribution of electromagnetic radiation according to frequency or wavelength.
• EM radiation is created when an atomic particle, such as an electron, is accelerated by an electric field, causing it to move.
• The movement produces oscillating electric and magnetic fields, which travel at right angles to each other in a bundle of light energy called a photon.
• Frequency is the number of waves that form in a given length of time.
• It is usually measured as the number of wave cycles per second, or hertz (Hz).
• Electromagnetic radiations with shorter wavelengths than visible are called ultraviolet, X-rays, or gamma rays progressively.
• Electromagnetic radiations with longer wavelengths than visible are called infrared, microwaves, or radio waves progressively.
• 

The Correct answer is Hot water has lower surface tension.

Key Points

• Surface tension: Surface tension is a force per unit length acting in the plane of interface between the liquid and the bounding surface.
  • Its unit is ‘N/m’ and the dimensions are [MT-2].
  • Surface tension is a property that arises due to the intermolecular forces of attraction among the molecules of the liquid.
  • Greater are the intermolecular forces of attraction; higher is the surface tension of that liquid.

EXPLANATION :

• The surface tension decreases as the temperature increases.
• The surface tension of hot water is very less compared to cold water and thus that makes washing clothes easier in hot water

Concept:

Force

• 1 Newton is equal to the pressure with which the force of 1 N is exercised perpendicular to the area of 1 m2
• 1 N = 1 kg m/s2
• Newton is the unit of Force.

Pressure

• 1 Newton per square metre (1 pascal) is equal to the pressure with which force of 1 N is exercised perpendicular to the area of 1 m2
• 1 Pa = 1 N/m2 .
• 1 Bar (bar) is the special name for 100000 Pa.

Normal stress (tensile or compressive), Shear stress

• 1 Newton per square metre (1 pascal) to the mechanical stress with which the force of 1 N is exercised on the area of 1 m2
• In many branches of engineering, the mechanical stress and strength are specified in N/m2.
• 1 N/m2 = 1 Pa
• 1000000 Pa = 1 MPa

Power

• 1 Watt is equal to the power with which the energy of 1 J is converted during the time of 1 s.
• The unit watt is also called volt-ampere in the specification of apparent electric power
• 1 W = 1 J/s = 1 Nm s = 1 VA

Correct answer is 108 dyne

Key Points

Newton:

• It is the S.I unit of Force.
• It is equal to the force that would give a mass of one kilogram an acceleration of one meter per second per second and is equivalent to 100,000 dynes.
• 1000 Newton. = 108 dyne

Additional Information

• CGS unit: It is the system of measurement where physical quantity is expressed in centimeter, gram and second.
• The CGS unit of Force is dyne.

1 dyne = 1 gm cm s -2

Correct answer is They start from the north pole and end at the south pole.

Key Points

CONCEPT:

• Magnetic field: The magnetic field is a field produced by the magnet.
• Magnetic field lines: Magnetic fields are represented using magnetic field lines.
  • It is used to visualize the strength and the direction of the magnetic field.
• Properties of Magnetic Field Lines
  • At a point, the tangent drawn on the magnetic field line gives the direction of the magnetic field at that point.
  • The density of the field lines gives the strength of the field.
  • Inside a magnet, the magnetic field lines go from the south pole to the north pole.
  • Outside magnet, Magnetic field lines appear to emerge or start from the north pole and merge or terminate at the south pole.
  • Magnetic field lines form a closed-loop.
  • Magnetic field lines never intersect with each other.
  • Field lines represent both magnitude and direction at any point on the field.

EXPLANATION:

• Magnetic field lines outside and inside the magnet are given below in the figure.

The correct answer is Both combination reaction and exothermic reaction.Key Point

• The reaction between calcium oxide (CaO) and water (H₂O) to form calcium hydroxide (Ca(OH)₂) is an example of a combination reaction.
• A combination reaction is a chemical reaction in which two or more substances combine to form a single new substance.
• In this case, calcium oxide and water combine to form calcium hydroxide.
• Here is the chemical equation for the reaction:

CaO + H₂O → Ca(OH)₂ + Heat

• Combination reactions are typically exothermic, meaning that they release heat.
• This is because the bonds in the products are stronger than the bonds in the reactants.
• In the case of the reaction between calcium oxide and water, the reaction is highly exothermic and releases a lot of heat.
• Hence, the correct answer is combination and exothermic reaction.

Concept:

• The element Nitrogen is the first member of group 15 or V A.
• Nitrogen is a typical non - metal. It is essential for both plants and animals.
• The electronic configuration of Nitrogen is 1s²2s²2p³.
• Nitrogen consists of mostly 78.1 % of the earth's atmosphere.
• However, it is not equally abundant in the earth's crust. It is the third most abundant element in the earth's crust.
• Nitrogen is an important constituent of amino acids in proteins.
• Nitrates are highly soluble in water.

Explanation:

• Nitrogen is an inert element, it is a diatomic gas that shows reactivity only at high temperatures.
• The nitrogen molecule is covalent and non-polar.
• Nitrogen forms a triple bond with other nitrogen atoms forming N₂ molecules.
• As triple bonds are strong, it is not broken by the collision between the nitrogen molecules at room temperature.
• Furthermore, its octet is complete and it does not require additional electrons.
• Only at high temperatures, sufficient energy is provided by the collision to break the triple bond.
• Thus at high temperatures, nitrogen molecule gets dissociated and shows some reactivity.

Hence, the reason for Nitrogen to be inert is its high bond energy.

Mistake Points

• Note that multiple bond formation always doesn't necessarily mean that the molecule will be inert.

The correct answer is 33As77

Concept-:

• The total number of electrons (or protons) in a neutral atom is called its atomic number, denoted by Z.
• The total number of protons and neutrons in the nucleus of an atom is known as its Mass Number and is denoted by A.

Explanation:

The number of neutrons is calculated by the difference in M-A.

• The number of neutrons in 32Ge76 is
  76-32 = 44​
• The number of neutrons in 32Ge77 is
  77 - 32 = 45
• The number of neutrons in 33As77 is
  77 - 33 = 44
• The number of neutrons in 36Sc78 is:
  78-36 = 42
• The number of neutrons in 34Sc77 is:
  77 - 34 = 43
• We see that the number of neutrons is the same in 32Ge76 and 33As77 and thus they are isotones.

Hence, the isotone of 32Ge76 is 33As77.

The correct answer is Carbon dioxide.

Key Points

• Carbon dioxide
  • Carbon dioxide extinguishers work by displacing oxygen or taking away the oxygen element of the fire triangle.
  • The carbon dioxide is also very cold as it comes out of the extinguisher, so it cools the fuel as well.
  • It is because carbon dioxide does not support combustion.
  • When sprayed on the burning object it stops the supply of oxygen and extinguishes fire.
  • Carbon dioxide is the most commonly used gas for extinguishing fires. Hence, Option 3 is correct.
  • Sodium bicarbonate is used to release a cloud of Co2, especially in class A and class B fires, thus releasing the oxygen and smothering the fire
  • Carbon dioxide is an acidic colorless gas with a density about 53% higher than that of dry air. Carbon dioxide molecules consist of a carbon atom covalently double bonded to two oxygen atoms. It occurs naturally in Earth's atmosphere as a trace gas.
  • Molar mass: 44.01 g/mol
  • Formula: CO₂
  • Boiling point: -78.46 °C
  • Soluble in: Wate

Additional Information

• Nitrogen
  • It is the chemical element with the symbol N and atomic number 7. It was first discovered and isolated by Scottish physician Daniel Rutherford in 1772.
  • Symbol: N
  • Atomic mass: 14.0067 u
  • Atomic number: 7
  • Electron configuration: [He] 2s²2p³
  • Electronegativity: 3.04
  • Boiling point: -195.8 °C
• Oxygen
  • It is the chemical element with the symbol O and atomic number 8.
  • It is a member of the chalcogen group in the periodic table, a highly reactive nonmetal, and an oxidizing agent that readily forms oxides with most elements as well as with other compounds.
  • Symbol: O
  • Atomic mass: 15.999 u
  • Atomic number: 8
  • Electron configuration: [He] 2s²2p⁴
  • Electronegativity: 3.44
  • Discoverers: Joseph Priestley, Antoine Lavoisier, Carl Wilhelm Scheele
• Argon
  • It is a chemical element with the symbol Ar and atomic number 18.
  • It is in group 18 of the periodic table and is a noble gas. Argon is the third-most abundant gas in the Earth's atmosphere, at 0.934%.
  • Symbol: Ar
  • Atomic mass: 39.948 u
  • Atomic number: 18
  • Electron configuration: [Ne] 3s²3p⁶
  • Boiling point: -185.8 °C
  • Discoverers: William Ramsay, John William Strutt, 3rd Baron Rayleigh