Indian Navy SSR Mock Test - 9 - Airforce X Y / Indian Navy SSR MCQ

Industrialization has a major impact on international trade.

The correct answer is "packing them"

Key Points

• In the given sentence, the usage of the pronoun 'it' is incorrect because 'it' is a singular object pronoun.
• In the given sentence, since we are referring to items so we need to use the object pronouns that are plural.
• Plural object pronouns include us, you, and them.
• We need to use them as an object pronoun in the sentence.

The correct sentence is: The shopkeeper checked all the items before packing them in the bag.

Hence, the correct answer is option 2.

The correct answer is option 1) i.e. But they can be.

Explanation:

• In the given sentence, the use of the pronoun 'it' is incorrect.
• The pronoun 'it' referred to the noun 'fish' in the sentence. The pronoun 'it' is a third-person singular pronoun while 'fish' is a plural noun.
• When you use a singular noun, we can only use a singular pronoun and when you use a plural noun, we can only use a plural pronoun.
• Therefore, the plural personal pronoun of 'it' i.e. 'they' should be used. We use 'they' to refer to specific groups of people, things and animals.
• Hence, the correct option is "But they can be".

Extra- Bites-

• Personal pronouns are pronouns that are associated primarily with a particular grammatical person – first person (as I), second person (as you), or third person (as he, she, it, they).
• Personal pronouns may also take different forms depending on the number (usually singular or plural), grammatical or natural gender, case, and formality.

​Correct Sentence: Encounters with the big fish are rare, but they can be deadly.

The correct answer is Option A & B.

Key Points

• Kinetic energy-
  • ​It is a form of energy that an object or a particle has by reason of its motion.
  • If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.
  • It is a property of a moving object or particle and depends not only on its motion but also on its mass.
  • Translational kinetic energy of a body is equal to one-half the product of its mass, m, and the square of its velocity, v, or 1/2mv2 .

Important Points

• Energy
  • It is the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms.
  • In the International System of Units (SI), energy is measured in joules. One joule is equal to the work done by a one-newton force acting over a one-metre distance.
• Work-
  • ​It is measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.
  • If the force is constant, work may be computed by multiplying the length of the path by the component of the force acting along the path.
  • To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd.
  • If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

CONCEPT:

• Motional emf: The emf induced due to motion relative to a magnetic field is called the motional emf.

​

• Consider a straight conductor PQ moving perpendicular to a uniform magnetic field B.
  • Assume the motion of the rod to be uniform with a constant velocity of (v m/s).
  • The rectangle PQRS forms a closed circuit enclosing a changing area due to the motion of the rod PQ.
• The magnetic flux ϕ enclosed by the loop PQRS can be given as:

⇒ ϕ = B × area = B × (l.x)

• Since the conductor is moving, there is a change in the rate of area moving. This causes a rate of change of flux which induces an emf.
• This induced emf is given by:

Where  is the speed of the conductor PQ​

CALCULATION:

Given: number of spokes, n = 20 length of spokes, l = radius (r) = 1m, magnetic field (B) = 0.4 gauss = 0.4 × 10^-4 tesla, and frequency (f) = 180 rpm = 3 rps

• The relation linear velocity and angular velocity is given by,

⇒ v = rω

Where ω is the angular velocity

Linear velocity of spoke at the axle = 0, and linear velocity at the rim end = rω .

• So the average liner velocity

• Angular velocity (ω) of the spoke is given as

⇒ ω = 2πf = 2π × 3 = 6π

• The emf between the axle and rim of the wheel.

⇒ ε = Blv = 0.4 × 10^-4 × 1 × 0.5 × 6π = 3.77× 10^-4 V

• Hence option 4) is correct.

Concept:

Extrinsic semicodutor:

• ​Extrinsic semiconductors are semiconductors that are doped with specific impurities.
• The modifies the electrical properties of the semiconductor and makes it more suitable for electronic devices such as diodes and transistors.
• Two types of extrinsic semiconductors: N-type and P-type
• ​The electron and hole concentration in a semiconductor is in thermal equilibrium. ni2 = ne × nh

​​Calculation:

Given,

ni = 1.5 × 1016 m^-3

The number of atoms in a pure Si crystal = 6 × 1028 atoms m-3.

We know that 1 ppm = 10^-6

n_e = 6 × 10²² m^-3

The electron and hole concentration in a semiconductor is in thermal equilibrium.

n_i² = n_e × n_h

Additional Information

Intrinsic semiconductor:

• ​Semiconductors that are chemically pure, in other words, free from impurities are termed intrinsic semiconductors.
• The number of holes and electrons is therefore determined by the properties of the material itself instead of the impurities.
• In intrinsic semiconductors, the number of excited electrons is equal to the number of holes; n = p
• They are also termed undoped semiconductors or i-type semiconductors. Silicon and germanium are examples of the i-type semiconductor

CONCEPT: ​

• Overall Impedance (Z) in a series combination of an inductor(L) a capacitor (C), and a resistor (R):

where R is resistance, ωL is the inductance reactance and 1/ωC is the Capacitance reactance.

• With AC source capacitance, we can define capacitive reactance in terms of Omega (ω):
  

  Where ƒ is the frequency in Hertz, C is the AC capacitance in Farads, and XC is the Capacitive Reactance in Ohms.

• Similarly, the Overall RMS value of voltage is given by:
  

  where E is the emf, VR is the potential drop across the resistor, VL is the potential drop across the inductance, and VR is the potential drop across the capacitance.

  CALCULATION:
  

Windows is correct.

Key Points

• Among the options, only Windows is NOT an open-source operating system.
• Windows is a closed source operating system marketed by Microsoft.
• Microsoft first introduced the Windows operating system on 20 November 1985.
• Closed Operating Systems are built with numerous codes and complex programming and that is called source code.
• An Open-source Operating System is the Operating System in which source code is visible publically and editable.
• The operating system is a collection of programs that controls the overall operations of the computer.
• An operating system is a System software in computers.
• It works as an interface between the user and computer hardware components.
• Examples of operating systems are:
  • Linux.
  • Unix.
  • DOS.
  • Windows.
  • Ubuntu.
  • Embedded operating system.
  • OpenBSD.
  • Mac OS.

Mistake Points

Windows is an operating system, but it is NOT an open-source operating system.

Concept:

• When subatomic particles (electron, proton, etc.) behave like a wave then the wavelength is called de Broglie wavelength
• 
• p = mv
• λ = de Broglie wavelength, h = Planck constant, p = momentum of the subatomic particles, m = mass of subatomic particles, v = velocity of subatomic particles
• Mass of α particles = 6.644657230(82) × 10^-27 Kg
• Mass of proton = 1.6726 × 10^-27 kg
• Mass of electron = 9.1093837015 × 10⁻³¹ kg

Explanation:

The de Broglie wavelength is given by,

Since, heavier the mass, shortest the wavelength

So, from the option α particles have more mass than other particles α-particle has the shortest de-Broglie wavelength.

CONCEPT:

Atmospheric Pressure:

• The pressure of the atmosphere at any point is equal to the weight of a column of air of unit cross-sectional area extending from that point to the top of the atmosphere.
• At sea level, the atmospheric pressure is given as,

⇒ Pa = 1.013 × 105 Pa = 1.013 bar

Absolute Pressure:

• It is the total pressure at a point.

Gauge Pressure:

• Gauge pressure is the difference between absolute pressure and atmospheric pressure.
• Gauge pressure is also known as relative pressure.
• The measured pressure is compared to the standard atmospheric pressure at sea level.

​⇒ Pg = P - Pa

Where Pg = gauge pressure, Pa = atmospheric pressure, and P = absolute pressure

CALCULATION:

Given ρ = 1.03 × 103 kg/m3, h = 1000 m, and g = 10 m/sec2

• Gauge pressure is the difference between absolute pressure and atmospheric pressure.

​⇒ Pg = P - Pa

Where Pg = gauge pressure, Pa = atmospheric pressure, and P = absolute pressure

So the absolute pressure is given as,

⇒ P = P_a + P_g -----(1)

• The atmospheric pressure is given as,

⇒ Pa = 1.013 bar -----(2)

• The gauge pressure is given as,

⇒ P_g = ρgh

⇒ Pg = 1.03 × 103 × 10 × 1000

⇒ Pg = 103 × 105 Pa

∵ 1 Bar = 105 Pa

∴ Pg = 103 Bar -----(3)

By equation 1, equation 2, and equation 3,

⇒ P = 1.013 + 103

⇒ P = 104.013 Bar

• Hence, option 1 is correct.

The correct answer is It is a liquid at room temperature.

Key Points

• Bromine:
  • It is a liquid at room temperature. Hence, Option 4 is correct.
  • It is a naturally occurring element that is a liquid at room temperature.
  • It has a brownish-red colour with a bleach-like odour, and it dissolves in water.
  • Bromine is found naturally in the earth’s crust and in seawater in various chemical forms.
  • Bromine can also be found as an alternative to chlorine in swimming pools.
  • Products containing bromine are used in agriculture and sanitation and as fire retardants (chemicals that help prevent things from catching fire).
  • Some bromine-containing compounds were historically used as sedatives (drugs that can make people calm or sleepy).

Time rate of work done or electric energy develop or consumed by generator or appliance, is called electric power. We know, that the rate of work done per unit Time is known as power. So, here is some change ie., in terms of electricity Time rate of work done is known as electric power. 

The correct answer is option 2) i.e. 784 N

CONCEPT:

• A lift is designed to carry loads upwards easily and in a short span of time. This is achieved by accelerating the lift upwards.
  • Hence, the acceleration of lift is positive in the upward direction and negative in the downward direction.
  • The downward motion of the lift is the stopping motion and hence it is retarding.
  • The lift motion can be simplified into two cases:

Case 1: Lift moving up with acceleration 'a'

Net force acting on the lift = N1 - Fg = ma

Case 2: Lift moving down with acceleration 'a'

Net force acting on the lift = N1 - Fg = m(-a)

Where Fg is the weight of the object of mass 'm', N1 is the reaction force due to the mass.

CALCULATION:

Given that:

Mass of the student, m = 56 kg

Acceleration of the lift, a = 4 m/s²

Weight of the student, F_g = mg = 56 × 10

Net force acting on the lift, ma = N1 - Fg

Given, I =

By using the form of partial fraction, we write

⇒ x = A (x - 1) + B (x - 2)

⇒ x = (A + B) x - A - 2B

⇒ x = ( A + B) x - ( A + 2B)

By comparing coefficient of x and constant terms on both sides, we get

A + B = 1 and A + 2B = 0

On solving these equations, A = 2 and B = - 1

Now,

⇒ I =

⇒ I =

⇒ I = 2 ln |x - 2| - ln |x - 1| + c

⇒ I =

∴ The correct answer is option (1).

Concept:

A relation f from set A to set B is said to be a function if every element of set A has a unique image in set B.

Calculation:

1. If f is the subset of Z × Z defined by f = {(xy, x − y); x, y ∈ Z},

let x = 2, y = 3 → (2 × 3, 2 - 3) = (6, -1) ∈ f

and for x = -2, y = -3 → (-2 × (-3), -2 + 3) = (6, 1) ∈ f

So, the element 6 ∈ Z has two different images 1 and -1 in Z

⇒ f is not a function.

2. If f is the subset of N × N defined by f = {(xy, x + y); x, y ∈ N},

let x = 3, y = 4→ (3 × 4, 3 + 4) = (12, 7) ∈ f

and for x = 2, y = 6 → (2 × (6), 2 + 6) = (12, 8) ∈ f

So, the element 12 ∈ N has two different images 7 and 8 in N

⇒ f is not a function.

∴ The correct option is (4).

Concept:

Let P and Q be the given two points (x1, y1) and (x2, y2) respectively, and M be the point dividing the line segment PQ internally in the ratio m : n, then from the section formula, the coordinate of the point M is given by:

Calculation:

Let point P be the point that lies at the y-axis and divide the line segment made by two points A and B in the ratio k : 1.

Since point P lies on the y-axis, therefore, the coordinates of the point P would be of the form (0, y).

Now, using the section formula and equating the x-coordinates, we get

⇒ 3k - 2 = 0

⇒ k = 2/3

∴ k : 1 = 2 : 3

Hence, the required ratio is 2 : 3.

The correct answer is option (2).

Formula used:

Calculation:

Let

y =

⇒ y =

Using the formula discussed above

⇒ y = e⁵

∴ The required value is e^5.

Concept:

 Let A (x1, y1) and B (x2, y2) be the two given points and the point P (x, y) divide the line joining the points A and B in the ratio m : n, then

The point of internal division is given as:

Calculation:

Let the y-axis divides the line joining the points  A(- 6, 15) and B(3, 5) in the ratio m : 1.

Let C be the point of intersection.

As we know that, the point  internal division is given by: 

C is the point of division i.e C lies on the y-axis and the equation of the y-axis is x = 0.

So, the point C will satisfy the equation x = 0
⇒ 3m - 6 = 0

⇒ m = 2

So, the required ratio is = 2 : 1

Additional Information

The point of external division is given as:

Note: If P is the mid-point of line segment AB, then 

Concept:

For a triangle ABC, with sides a, b, c, its semi perimeter is the quantity s = (a + b + c)/2

Calculation:

We know s = (a + b + c)/2

According to the concept used we can write the above trigonometric expression as

Explanation:

If sin θ = x ⇒ θ = sin-1x, for θ ∈ [-π/2, π/2]

cos^-1(cos x) = x, for x ∈ [0, π ]

According to the question, 1+cos⁡2x=2 cos−1(cos x) in [π2,π]

⇒  = √2cos−1(cos x)

⇒ √2cos x= √2cos−1(cos x)

⇒ cos x = cos−1(cos x)

⇒ cos x = x [∵ cos−1(cos x) = x]

Now, for x∈[π/2, π], cos x ≤ 0

∴ cos x = x is not possible for any value of x∈ [π/2 , π]

∴ Number of solutions = 0

The correct answer is Bimal Patel.Key Points

• Bimal Patel is an Indian architect, urbanist, and academician. He is the founder and principal architect of HCP Design, Planning and Management Pvt. Ltd., an Ahmedabad-based architecture firm.
• Patel has designed a number of notable buildings in India, including the Sabarmati Riverfront Development Project, the Kashi Vishwanath Temple Corridor Project, and the new Parliament Building in New Delhi.
• The new Parliament Building in New Delhi is a 64,500 square meter complex that was inaugurated by Prime Minister Narendra Modi on May 28, 2023.
• The building is designed to be earthquake resistant and to have a lifespan of more than 150 years.
• It is also designed to be energy efficient and to use sustainable materials.
• Patel's design for the new Parliament Building was selected from a pool of 10 shortlisted architects.
• The jury praised Patel's design for its "timeless elegance" and its "ability to reflect India's rich cultural heritage."
• The new Parliament Building is a significant addition to India's architectural landscape.
• It is a symbol of India's democracy and its commitment to sustainable development.

Additional Information

• Herbert Baker was an English architect who designed a number of notable buildings in India, including the Secretariat Building in New Delhi and the Viceroy's House (now Rashtrapati Bhavan).
• Ram V Sutar is an Indian sculptor who is known for his monumental sculptures, including the Statue of Unity in Gujarat.
• Brinda Somaya is an Indian architect who is the founder and principal architect of Somaya & Associates, an architecture firm based in Mumbai.
  • Somaya has designed a number of notable buildings in India, including the National Gallery of Modern Art in Mumbai and the NCPA Centre in Mumbai.

The correct answer is Aravalli.

Key Points

• Aravalli Mountain Range is Pre Cambrian range fold mountain range.
• It is one of the oldest mountain ranges in the world.
• It starts from Girnar, Gujrat, and extends up to Delhi covering Rajasthan and Haryana.
• Its total length is 692 Kms and from this 550 km is located in Rajasthan. Guru Shikhar in Sirohi, Rajasthan is the highest peak of the Aravalli Mountain Range.
• The hidden limb of the Aravallis that extends from Delhi to Haridwar creates a divide between the drainage of rivers of the Ganga and the Indus Rivers.

Important Points

• The Tian Shan is a mountain range located in Central Asia. Its highest peak is Jengish Chokusu. It is spread in China, Kazakhstan, Krygyzstan, Uzbekistan, and Tajikistan.
• Satpura Range is a mountain range located in MP and Maharashtra. Its highest peak is Dhupgarh.
• The Alps is a mountain range of Europe. Mont Blanc is the highest peak of this range.

The correct answer is Arunachal Pradesh.Key Points

• Arunachal Pradesh state in India does NOT share a border with Bangladesh.
• Bangladesh shares its border with India to the north, east, and west, Myanmar to the east, and the Bay of Bengal to the south.
• Among the Indian states, Bangladesh shares its border with West Bengal (west and north), Tripura (east), Mizoram (east), Assam (north), and Meghalaya (north).

The logic followed here is as follows:

So, the next term is:

17 + 6 = 23

Hence, the correct answer is "23".

The logic followed here is:

For, 64 # 58 # 32 = -26

⇒ 64 - (58 + 32)

⇒ 64 - 90 = -26.

For, 104 # 17 # 89 = -2

⇒ 104 - (17 + 89)

⇒ 104 - 106 = -2.

Similarly, for 56 # 7 # 24 = ?

⇒ 56 - (7 + 24)

⇒ 56 - 31 = 25.

Hence, the correct answer is "25".

The Correct Answer is Satwiksairaj Rankireddy and Chirag Shetty.

In News

• India's Rankireddy and Shetty triumph in Indonesia Open, create history.

Key Points

• The Indian duo of Satwiksairaj Rankireddy and Chirag Shetty won a historic men's doubles title at the Indonesia Open, becoming the first doubles pair from the country to claim a Super 1000 event.
• The world No. 6 pair, who won a gold medal at the Birmingham Commonwealth Games and bronze at the world championships last year, thrashed Aaron Chia and Soh Wooi Yika of Malaysia in straight games 21-17, 21-18.
• The Indians, who were also Asian champions, defeated the current world champions in 43 minutes.

Additional Information

• The BWF (Badminton World Federation) World Tour is divided into six levels: World Tour Finals, four Super 1000, six Super 750, seven Super 500, and 11 Super 300.
• One more tournament category, the BWF Tour Super 100 level, also offers ranking points.
• Each of these tournaments offers different ranking points and prize money.
• The highest points and prize pool is offered at the Super 1000 level.

The logic followed here is:
Vowels – reverse letter in the alphabet
Consonants – (+5) in the positional value of the consonants

BONES is written as GLSVX,

CLOCK is written as HQLHP,

Similarly,

The pattern followed here is:

• Given arrows are change their direction.
• Shaded part of upper and lower figure is change in next figure.

Similarly,

Hence, the correct answer is "Option 3".

Here, we use the table given below:

Given:

⇒ 2 - 16 + 28 × 7 ÷ 5 = 6

Checking all the given options:

(1) ÷, +

⇒ 2 - 16 + 28 × 7 ÷ 5 = 6

After interchanging the sign:

⇒ 2 - 16 ÷ 28 × 7 + 5

Apply BODMAS rule:

⇒ 2 - 4 + 5 = 3

⇒ 2 - 16 ÷ 28 × 7 + 5 = 3

Here, the equation is not satisfied.

(2) ÷, ×

⇒ 2 - 16 + 28 × 7 ÷ 5 = 6

After interchanging the sign:

⇒ 2 - 16 + 28 ÷ 7 × 5

Apply BODMAS rule:

⇒ 2 - 16 + 4 × 5

⇒ 2 - 16 + 20 = 6

⇒ 2 - 16 + 28 ÷ 7 × 5 = 6

Here, the equation is satisfied.

(3) +, -

⇒ 2 - 16 + 28 × 7 ÷ 5 = 6

After interchanging the sign:

⇒ 2 + 16 - 28 × 7 ÷ 5

Apply BODMAS rule:

⇒ 2 + 16 - 28 × 1.4

⇒ 2 + 16 - 39.2 = -21.2

Here, the equation is not satisfied.

(4) ÷, -

⇒ 2 - 16 + 28 × 7 ÷ 5 = 6

After interchanging the sign:

⇒ 2 ÷ 16 + 28 × 7 - 5 = 6

Apply BODMAS rule:

⇒ 0.125 + 28 × 7 - 5

⇒ 0.125 + 196 - 5 = 191.125

Here, the equation is not satisfied.

Hence, the correct answer is "Option (2)".