Indian Army Agniveer Technical Mock Test - 4 - Indian Army Agniveer MCQ

The correct answer is North-East.Key Points

• Satriya Nritya is the classical dance form of the North-Eastern State of Assam which represents the Satriya culture, the basis of the religious and cultural fabric of Assam.
  • It is a dance-drama performance art with origins in the Krishna-centered Vaishnavism monasteries of Assam and attributed to the 15th-century Bhakti movement scholar and saint Mahapurush Srimanta Sankardev.
  • Dance historian Dr. Sunil Kothari has recently been bestowed with the Madhabdev Award by the Government of Assam for popularising the Sattriya dance.
  • Sattriya was given the status of classical dance in the year 2000 by the Sangeet Natak Akademi.

Important Points

• Other classical dances of India are:
  • Bharatnatyam (Tamil Nadu), Kathakali (Kerala), Kuchipudi (Andhra Pradesh), Kathak (North India), Mohiniyattam (Kerala), Manipuri (Manipur) and Odissi (Odisha).

R means + and S means –

12 R 23 S 32 = 3 → 12 + 23 – 32 = 3

And

13 S 34 R 56 = 35 → 13 – 34 + 56 = 35

Thus,

23 R 65 S 45 = 23 + 65 – 45 = 43

Hence, 43 is the correct answer.

The correct answer is Badminton.

Key Points

• P.V Sindhu is associated with the sport of Badminton.
• In the Badminton bronze medal match, PV Sindhu defeated He Bing Jiao in straight games to clinch the bronze medal at the Tokyo Games and become the first Indian woman to win two individual Olympic medals.
• After becoming the first Indian female athlete to win a Silver medal at the Olympics in Rio 5 years ago, PV Sindhu has become only the 2nd Indian athlete after Sushil Kumar to win 2 individual medals at the Games.
• PV Sindhu: Achievements
  • PV Sindhu defeated Michelle Li of Canada in the final badminton match of women's singles at the Commonwealth Games 2022 in Birmingham, to win gold on 8 August 2022.
  • In January 2020, PV Sindhu was awarded the Highest Civilian Award in India- Padma Bhushan.
  • In March 2015, Sindhu was awarded the Fourth Highest Civilian Award in India- Padma Shri.
  • In August 2016, she was awarded the Highest Sporting Honour of India- Rajiv Gandhi Khel Ratna.
  • In September 2013, PV Sindhu was awarded the Arjuna Award for outstanding performance in sports. etc.

The correct answer is Indian National Congress.

In News

• Siddaramaiah appointed Karnataka CM, DK Shivakumar to be Deputy CM in May 2023.

Key Points

• Siddaramaiah:
  • He is referred to by his nickname Siddu.
  • He is replacing Basavaraj Bommai as the 22nd Chief Minister of Karnataka.
  • He was also former Leader of the Opposition in Karnataka Legislative Assembly
  • He represents the Badami Assembly constituency since 2018.
  • He served as the CM of Karnataka from May 2013 to May 2018.

The correct answer is Subuktigin.
Key Points

• The Ghaznavid Dynasty, based in modern-day Afghanistan, was founded by Subuktigin in the late 10th century.
• Subuktigin was originally a Turkic slave who was bought by Alp Tigin.
  • He eventually rose to power, establishing his rule in Ghazna after the death of his master.

Additional Information

• Mahmud of Ghazni - He was a prominent Ghaznavid ruler but not the founder. Mahmud of Ghazni was the son of Subuktigin and is known for his military campaigns into the Indian subcontinent.
• Alp Tigin - He was a Turkish slave who became a general under the Samanid Empire and later established his rule in Ghazna, present-day Afghanistan.
  • He is an important figure in Ghaznavid history but not the founder. Subuktigin was a slave of Alp Tigin.
• Saman Khuda - He was the founder of the Samanid Dynasty, which predates the Ghaznavids and was prominent in Central Asia.
  • This dynasty had a significant influence on the Ghaznavids, but Saman Khuda was not the founder of the Ghaznavid Dynasty.

The correct answer is Ring Worm.

Key Points:Ringworm

• It is caused by fungus that live on dead tissues like skin, hair and nail.
• It causes Jock Itch and Athlete’s foot.
• A red patch that may itch often turns into a raised ring-shaped patch of skin over time.
• It is highly contagious and can be transmitted by skin to skin contact or contact with pets.
• Creams and medicated ointments are often enough to treat it.
• Basic hygiene can prevent it.

Additional Information:Cholera:

• It is a life-threatening infectious disease and a public health hazard.
• Cholera is an acute, diarrheal illness caused by infection of the intestine with the bacterium Vibrio cholerae.
• The infection is often mild or without symptoms, but sometimes can be severe.

Symptoms:

• Profuse watery diarrhoea
• Vomiting
• Leg cramps

Transmission:

• A person may get cholera by drinking water or eating food contaminated with the cholera bacterium.
• The disease can spread rapidly in areas with inadequate treatment of sewage and drinking water.

Vaccine:

• Currently there are three WHO pre-qualified oral cholera vaccines (OCV), Dukoral, Shanchol, and Euvichol-Plus.
• All three vaccines require two doses for full protection.

Tuberculosis:

• TB is caused by a bacterium called Mycobacterium tuberculosis, belonging to the Mycobacteriaceae family consisting of about 200 members.
• In humans, TB most commonly affects the lungs (pulmonary TB), but it can also affect other organs (extra-pulmonary TB).
• It can spread from person to person through the air.

COVID-19:

• The new coronavirus – COVID-19 – was first identified in Wuhan, China in December 2019.
• Coronaviruses belong to a family of viruses called Coronaviridae and the order Nidovirales.
• Coronaviruses get their name from their crown-like shape (corona is Latin for crown).
• They are found in animals and birds and are zoonotic – as they are transmitted between animals and people.

Concept:

Domain: Domain of function f(x) is defined as values of x for which function f(x) exists.

Calculation:

We have to find the domain of the function

We know that the square root is always positive.

Therefore, |x| - x > 0 --- (|x| - x ≠ 0)

⇒ |x| > x

As we can see |x| is greater than x in (-∞, 0)

Formula used :

Property of definite integral =  .... if f(-x) = f(x) or it is an even function ---- (1)

Calculations :

Now,

=  + ∫0π2sin xdx

=

= [ 1 - cos (-π/2)] - [cos(π/2) - cos 0]

= [1 - cos(π/2)] - [0 - 1] (∵ cos (- x) = cos x)

= [1 - 0 ] - [- 1]

= 1 + 1

= 2

∴ The value of .

Concept:

Calculation:

We can write the expression as:

Applying the limit, we get:
 

⇒  L = 1.

∴ Required value of the limit is 1.

Formula used:

Probability of occurrence of the event:

P(E) =

Where,

n(E) = Number of favorable outcome

n(S) = Number of possible outcome

Calculation:

Total events

n(S) = 2⁵ = 32

Number of outcomes having zero head

n(E̅) = 1 i.e. {TTTTT}

Hence, the number of outcomes of obtaining at least one head is

n(E) = 32 - 1 = 31

Hence, the required probability

P(E) = 31/32

Concept:

Order of the differential equation: The order of the highest derivative present in the differential equation is the order of the differential equation.

Degree of the differential equation: The power of the highest derivative present in the differential equation is the degree of the differential equation.

Degree, n = 1

m + n = 2 + 1 = 3

The value of m + n is 3.

Therefore, the correct answer is 3.

Calculation:

Given:

y = log(cos ex)

We know,

→  and

On Differentiating y = log(cos ex) both sides

By chain rule.

→ = - tan ex

Concept:

1) The critical point of a function is the point where its first derivative is 0.

2) A function has minima if its second derivative at a critical point is greater than 0.

Calculation:

The given equation of the curve is x2 – 8x + 17.

Let f(x) = x2 – 8x + 17

∴ f'(x) = 2x - 8

For critical point, put f'(x) = 0

⇒ 2x - 8 = 0

⇒ x = 4

f''(x) = 2 > 0 hence f(x) has minima at x = 4.

∴ Minimum value of f(x) = f(4)

f(4) = 4² - 8 × 4 + 17 = 1

∴ The minimum value of x2 – 8x + 17 is 1.

The correct answer is option 3.

Concept:

Property of determinant of a matrix:

• Let A be a matrix of order n × n then det(kA) = kn det(A)

• If A and B are two square matrices then |AB| = |A||B|

• The determinant of a Matrix with two Identical rows or columns is equal to 0.

Calculation:

Given:

Δ =

(x + y)[-3x + 3y] - (y + z)[-3z + 3y] + (z + x)[-3z + 3x]

⇒ -3x² + 3xy - 3xy + 3y² + 3yz - 3y² + 3z² -3yz - 3z² +3xz - 3xz + 3x²

Δ = 0

The correct answer is 10 ohm.

Calculation:

Three resistances of 12 ohm each are connected in parallel.

Therefore the total resistance is given by,

1R=112+112+112=312

Or, R₁ = 4 ohm

This combination is connected in series with a combination of two resistors of 3 ohm each in series.

R₂ = 3 ohm

R₃ = 3 ohm

R1, R2 and R3 are connected in series

Total resistance of the circuit is

R = R1 + R2 + R3 = 4 + 3+ 3 = 10

Thus, total resistance of the circuit is 10 Ohm.

CONCEPT:​

• Surface tension: The property of liquid surfaces to shrink into the minimum surface area possible is known as surface tension.
• The surface tension of a liquid depends on temperature, impurity in the liquid, nature of the liquid, etc.

Explanation:

• The surface tension of liquids decreases with an increase in temperature.
  • The surface tension depends on the intermolecular forces of liquid.
  • As temperature increases, molecules of liquid move more rapidly.
  • So, the intermolecular forces between the liquid molecules become less stable.
  • Therefore, Surface tension decreases.
• So correct answer is option 4 i.e. surface tension decreases with an increase in temperature.

​Additional Information

• Other factors on which surface tension depends:
• Nature of liquid: On changing the liquid the surface tension will change. So it depends on the nature of the liquid.
• Presence of impurity: The surface tension of water increases when soluble impurities are added to it.
  • Insoluble impurities like detergent decrease the surface tension
  • It has both effects depending on the impurity.
• Area of the free surface: Surface tension does not depend on the area of the free surface.
  • When the surface area of a liquid is increased, molecules are allowed to move from the bulk phase to the interface.
  • As a result, the number of molecules per unit area remains the same or the distance between the molecules at the interface.
  • Therefore, the surface tension does not change.

The correct answer is 25 cm.

Key Points

• The minimum distance, at which objects can be seen most distinctly without strain, is called the least distance of distinct vision.
• It is also called the near point of the eye.
• For a young adult with normal vision, the near point is about 25 cm.
• The farthest point up to which the eye can see objects clearly is called the far point of the eye. It is infinity for a normal eye.

The correct option is chances of storm.

Key Points

• The atmospheric pressure perfectly balances the weight of the mercury column in the barometer.
• A drop in atmospheric pressure causes a drop in mercury levels to the point where the weight of the mercury column is once more equal to the altered atmospheric pressure.
• The atmosphere is typically thin in low-pressure regions.
• These places receive inward-moving winds.
• Clouds and condensation are created as air rises.
• This means that the chances of a storm are there.

Additional Information

Barometer:

• An instrument known as a barometer is used to measure atmospheric pressure, also known as barometric pressure.
• The air layers that surround Earth are known as the atmosphere.
• Gravity drags that air to Earth, it exerts pressure on everything it touches.
• This pressure is measured using barometers.

Atmospheric Pressure:

• Everything you touch is pressed upon by the weighty air that surrounds you.
• This pressure is referred to as air pressure or atmospheric pressure.
• It is the force that the air above a surface applies to it while gravity pulls the surface toward Earth.

The correct answer is Centripetal force.

Key Points

• The centripetal force is what keeps bodies moving in a circular direction.
• The centripetal force is related to the tangential velocity squared and inversely proportional to the radius of the circle.
• A centripetal force is a force that makes a body follow a curved path.
• Centripetal force, x = mv²/r where, m= mass, v=velocity, r= radius.

Additional Information

• Centrifugal force is a fictitious force, peculiar to a particle moving on a circular path, that has the same magnitude and dimensions as the force that keeps the particle on its circular path ( the centripetal force) but points in the opposite direction.
• Force of gravity is usually stated as that every particle attracts every other particle in the universe with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.
  • This is also known as Newton's law of universal gravitation.
• A reaction force is a force that acts in the opposite direction to an active force.
  • Friction is the reaction force resulting from surface interaction and adhesion during sliding.
  • Reaction forces and reaction moment are usually the results of the actions of applied forces.

When voltage of the connection drastically increases to a very high value suddenly for a very short period of time is called a voltage spike.

A surge protector is a device that protects or shields your appliances against a voltage surge/ voltage spike

The correct answer is Both I and II

Key Points

• Inertia is the ability of a body by virtue of which it opposes a change.
• It depends upon the mass.
• The momentum of an isolated system of particles is conserved.
• The forces are internal in nature and sum up to zero for the entire system.
• As the external force is zero on the system its momentum remains conserved.

• In an isolated system, the total momentum remains constant.
• The Law of Conservation of momentum states that the sum of momenta (A plural form of Momentum) of two objects before the collision is equal to the sum of momenta of two objects after the collision provided that there is no external force acting on it.
• In an isolated system as there is no external force, hence total momentum will remain constant.

The correct answer is has higher elasticity.Key Points

• Shock absorbers are usually made of steel as it
  • is not brittle.
  • has lower elasticity.
  • has higher elasticity.

Important Points

• A shock absorber is a mechanical or hydraulic device designed to absorb and damp shock impulses.
• It does this by converting the kinetic energy of the shock into another form of energy (typically heat) which is then dissipated.
• Most shock absorbers are a form of dashpot.​

Additional Information

• While traveling over rough roads, the wheels on the vehicles move up and down.
• The shock absorber system provides a counteracting force opposite to the direction of motion of the wheels.
• The counteracting force damps the oscillations.
• This reduces the impact of bumps or rough terrain and provides a comfortable ride.
• Thus, shock absorbers are used in vehicles to increase ride quality by damping.

The correct answer is P = 1/f.

Key Points

• The power of a lens is a measure of its ability to converge or diverge light rays and is given by the following relation:
  • Power (P) = 1/f
    • where P is the power of the lens in diopters (D) and f is the focal length of the lens in meters (m).
• A lens with a shorter focal length has a higher power because it can bend light more strongly than a lens with a longer focal length.
• Similarly, a lens with a greater curvature or refractive index will also have a higher power.
• The unit of power of a lens is diopter (D), which is defined as the reciprocal of the focal length in meters.

Concept:

• Physical Change:
  • When a substance undergoes a physical change, its composition remains the same despite its molecules being rearranged.
  • Physical change is a temporary change.
  • A Physical change affects only physical properties i.e. shape, size, etc.
  • A physical change involves very little to no absorption of energy.
  • Generally, physical changes do not involve the production of energy.
  • In a physical change, no new substance is formed.
  • Physical change is easily reversible so that is original substance can be recovered.
• Chemical Change:
  • When a substance undergoes a chemical change, its molecular composition is changed entirely. Thus, chemical changes involve the formation of new substances.
  • A chemical change is a permanent change.
  • Chemical change both physical and chemical properties of the substance including its composition.
  • During a chemical reaction, absorption and evolution of energy take place.
  • Chemical changes usually involve the production of energy (which can be in the form of heat, light, sound, etc.).
  • A chemical change is always accompanied by one or more new substances.
  • Chemical changes are irreversible that is original substance cannot be recovered.

Explanation:

• A physical change occurs when a substance undergoes a change in its physical properties.
• It is a reversible reaction and no new substance is formed.
• There are no new substances formed when the liquid comes out of the cylinder as gas.
• So, this is a physical change.
• And when the gas is burnt, new products are formed.
• A chemical change occurs when one or more new substances are formed.
• Chemical change is also called a chemical reaction.
• E.g. Gas →CO₂ +Heat + Light

Additional Information

• In the case of the melting of ice, only a phase transition takes place, the chemical composition of ice does not change.
• Chemical changes lead to the transformation in the chemical composition of the substance.
• Either a new substance is synthesized or a substance is decomposed.
• The setting of milk into curd, the ripening of fruits, and the fermentation of grapes all are examples of chemical changes since the chemical properties of each are changed.

Key Points

• Allotrope: The different structure of same chemical compound is called Allotrope.
• Buckminister fullerene is a stable structure of 60 carbon atoms.
• It is also known as Buckyball or just C60.
• The structure has 12 Pentagon rings and 20 hexagon rings.
• The structure is very strong and stable.

Additional Information

Other allotropes of Carbon are

• It is a hard, beautiful, crystalline allotrope of carbon.
• In an atom, each carbon atom is linked to four neighbouring carbon atoms.
• These have tetrahedral three-dimensional symmetry.
• Diamond doesn't have free electrons. So. it is a non-conductor of electricity.
• Diamond is a precious stone used in jewellery.

Graphite-

• It is a soft greyish black crystalline substance.
• It was discovered in 1795 by scientist 'Nicholas Jacques Conte'.
• Its's density is 1.9 to 2.3 g/cm3.
• Each carbon atom is attached to three other carbon atoms forming a 'Hexagonal planar structure'.
• Free electrons move through the layers of graphite, so graphite is a good conductor of electricity.

The correct answer is He.Key Points

• He does not belong to the 2nd period as it has only 1 energy level, which is the first period.
• Helium has atomic number two and the symbol He.
• It is the first gas in the periodic table's noble gas category and is colorless, odorless, tasteless, non-toxic, and inert.
• Among all the elements, it has the lowest boiling point and, at standard pressures, no melting point.

Additional Information

• The 2nd period of the periodic table consists of elements with 2 energy levels, which are Li, Be, B, C, N, O, F, and Ne.
• Beryllium (Be) is a chemical element with the symbol Be and atomic number 4.
  • Be belongs to the 2nd period as it has 2 energy levels.
  • It is a relatively rare element in the universe, usually occurring as a product of the spallation of larger atomic nuclei that have collided with cosmic rays.
• Lithium (Li) is a chemical element with the symbol Li and atomic number 3.
  • Li belongs to the 2nd period as it has 2 energy levels.
  • It is a soft, silvery-white alkali metal and the lightest solid element.
• Boron (B) is a chemical element with the symbol B and atomic number 5.
  • B belongs to the 2nd period as it has 2 energy levels.
  • It is a metalloid and the only non-metal of the group 13 elements on the periodic table.

The answer is n, α, p, e.

Explanation:-

• The ratio e/m refers to the charge-to-mass ratio of a particle.
• The particles in the options are the electron (e), proton (p), neutron (n), and alpha particle (α).
• Neutrons (n) don't carry any charge while having a mass. Hence, their e/m ratio is zero.
• Protons (p) and alpha particles (α) both have a positive charge, but an alpha particle has twice the charge of a proton and four times the mass (as it consists of 2 protons and 2 neutrons).
• This results in the e/m ratio for an alpha particle being half that of the proton.
• Electrons (e) have a negative charge whose absolute value equals that of a proton, but their mass is about 1/1836 times the mass of a proton.
• Thus, the absolute value of the e/m ratio for an electron is largest among the given particles.
• For neutron = e/m = 0
• For proton = e/m = 1/1 =1
• for electron = e/m = 1/ (1/1837) = 1837
• For alpha particle = e/m =2/4 = 0.5
• Therefore, the increasing order for the values of e/m (more accurately, increasing order of |e/m|) for the particles is: neutron, alpha particle, proton, electron.
• That corresponds to option 4) n, , α, p, e, which is the correct answer.

Conclusion:-

So the increasing order for the values of e/m for n, α, p, e.

The correct answer is Graphite.

Key Points

• Graphite is an allotrope of carbon that is known for its smooth and slippery texture.
• This characteristic makes graphite useful as a lubricant and as the "lead" in pencils.
• It is composed of stacked layers of carbon atoms arranged in a hexagonal lattice.
• This structure leads to the characteristic slipperiness, as the layers can slide over each other easily.

Additional Information

• Lead is a chemical element but not an allotrope of carbon.
• Fullerene is also an allotrope of carbon but is not typically described as smooth and slippery.
• Instead, fullerenes have a unique structure resembling balls or cylinders.
• Similarly, diamond, while an allotrope of carbon, is known for its hardness and brilliance.

• Bronze is the mixture of the metals tin and copper.
• The bronze alloy was made as early as the Harappan age.
• An alloy is considered a homogeneous mixture because, by definition, a homogeneous mixture has the same uniform appearance and composition throughout.
• Since an alloy is a mixture of two or more metals or a mixture of a metal with some other element, and these mixtures are uniform throughout, they fit the definition of being homogeneous.