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

The correct solution is 'whose daughter'.

Key Points

• The sentence given in the question has to be filled with a determiner in order to determine the position of the teacher in relation to the classmates.
• A determiner is "a word which is used at the beginning of a noun group to indicate, for example, which thing you are referring to or whether you are referring to one thing or several".
• We use the determiner 'whose daughter' as it perfectly defines the relationship between the teacher and my classmate.
• Option 1, 'her daughter' is incorrect as it does not join the sentence, but instead separates it, i,.e "my mother met the teacher. Her daughter is our classmate".
• Option 2, 'the daughter of us' is also an incorrect option as it doesn't grammatically makes sense when used in the sentence.
• Option 3, 'who is daughter' is itself a phrase with grammatical error and cannot be used to fill in the blanks.
• Hence the correct option is option 4.

Abysmal is the word, which is the opposite of 'superb' , Other options don't mean what is required in the question.

The correct answer is "certainty".

Key Points

• Certainty means the state of being completely sure about something.
  • Example: Death has to come to everyone and this is certain.
• Casuistry - use of clever arguments to trick people.
• Antonym means words having different meaning from other words.
• So, in this question, 'certainty' is opposite to 'casuistry' that's why an answer is 'certainty'.

Additional Information

• Sophistry - the use of clever but false arguments, especially with the intention of deceiving.
  • Example: She knows that it is pure sophistry on his part.
• Insinuation - the action of suggesting, without being direct, that something unpleasant is true.
  • Example: I reject the insinuation behind your question.
• Cacophony - a mixture of loud, unpleasant sounds or noise.
  • Example: I could not think of the cacophony of traffic.

Industrialization has a major impact on international trade.

The correct answer is 'make out, made up'.

Key Points

• 'Make out' is a phrasal verb meaning 'understand' or 'decipher'.
• 'Made up' can mean 'decided' or 'concluded', especially in the context of making up one's mind.
• So, 'make out' and 'made up' are the correct phrasal verbs for this context.

Therefore, the correct answer is Option 2.

CONCEPT:

• AND Gate: The Logic AND Gate is a digital logic circuit whose output HIGH only when all the inputs are 1 (HIGH) otherwise output will be LOW.

• OR Gate: The Logic OR Gate is a digital logic circuit whose output goes HIGH only when any one or more than one of its inputs is HIGH.

• NOT Gate: The Logic NOT Gate is the most basic of all the logic gates and is often referred to as an Inverting Buffer or simply an Inverter.

EXPLANATION:

• OR Gate: The Logic OR Gate is a digital logic circuit whose output goes '1' HIGH only when any one or more than one of its inputs is '1' HIGH.

• So the correct answer is option 2.

CONCEPT:

• Viscosity: The state of being sticky, thick, and semi-fluid inconsistency, due to internal friction of fluids is called viscosity.
• Newton's Formula of the coefficient of viscosity:
• According to this formula, force is proportional to contact area A and velocity gradient
  

where η is the coefficient of viscosity, A is the contact area and is velocity gradient.

CALCULATION:

Given that Δv = 2 m/s; Δz = 1 mm = 10-3 m; A = 10-2 m2; η = 1 poise = 10-1 Ns/m²

Force required to drag the plate:

F = 2 N

So the correct answer is option 3.

Concept:

• A mineral is a synthetic component needed as a fundamental supplement by life forms to fill roles important for life.
• There are two types of minerals:-

1. Macrominerals (required in large quantities by the body)
2. Trace/Micro minerals (required in small or trace amounts by the body)

Explanation:

Additional Information

• Minerals essential for health include:-

1. calcium, phosphorus, potassium, sodium, chloride,
2. magnesium, iron, zinc, iodine, chromium, copper, fluoride,
3. molybdenum, manganese, and selenium.

• Calcium is the most common mineral found in the human body.

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:

Coulomb's law

• It states that the magnitude of the electrostatic force F between two point charges q1 and q2 is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance r between them.

• It is represented mathematically by the equation:

⇒F=14πϵ0q1q2r2

Where ϵ0 is the permittivity of free space (8.854 × 10-12 C2 N-2 m-2).

The expression is also written as

k is constant having value 9 × 10 ⁹ N r² C^-2

Superposition Principle

• The Forces in each charge are obtained using this Principle
• The total force on a given charge is the vector sum of the individual forces exerted on the given charge by all the charges.
• This is used to calculate the following parameter at the observation point, to any configuration of charges.

• The third charge has no role to play when we are calculating the force between just two charges.

Calculation:

So, the Given situation can be represented in the following diagram.

Here let one unit distance be r

Distance between 4q and q is r

Distance between Q and q is r / 2

Now, we have to calculate the net Force acting on charge q

First, we will find the force between 4q and q charge

 -- (1)

Now we will find the force between Q and q

 --- (2)

Net force is zero. So,

F_4q + F_Q = 0

⇒ FQ = - F4q

⇒ Q = - q

So, the correct option is - q.

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).

Concept:

Equation of simple harmonic wave:

• Equation: Y = Y₀ sin (ωt - kx), where ω = angular frequency, k = propagation constant
• The relation between the angular frequency and the time period is, \(\omega=\frac{2\pi}{T}\)
• The relation between the propagation constant and the wavelength is, \(K =\frac{2\pi}{\lambda}\)

Calculation:

The equation of a simple harmonic wave is given by y = 5 sin (50πt – πx/2)

Here, ω = 50 π

Angular frequency, \(ω =\frac{2\pi}{T}\)

\(T=\frac{2\pi}{ω}\)

\(T=\frac{2\pi}{50\pi}=0.04 s\)

The period of the wave in the second will be 0.04.

Concept:

• sin (A + B) = sin A cos B + cos A sin B ___(1)
• The sum of the three angles of a triangle is 180°
• sin(180 - θ) = sin θ ___(2)

Calculation:

In triangle ABC, sum of angles = A + B + C = 180°

⇒ B + C = 180 - A ___(3)

Given, sec A (sin B cos C + cos B sin C)

⇒ sec A sin (B + C) ∵ {Using (1)}

⇒ sec A. sin (180 - A) ∵ {Using (2)}

⇒ sec A. sin A ∵ {Using (3)}

⇒ tan A

∴ The correct answer is option (3).

The correct answer is option (2).

Concept:

For any two real numbers a and b, the result  is true only when at least one of the given numbers is either zero or positive.

i = ,

i² = -1,

i3 = -i,

i⁴ = 1

2. i4m+3

i4m+3 = i^4mi³

= i³ ....(∵ i^4m = 1)

= -i ....(∵ i³ = -i)

So, both the statements are not correct.

Hence, option (4) is correct.

We know that if two lines are orthogonal then, the product of their direction cosines is zero.

Calculation:

Given,

A = B + C

Aⁿ⁺¹ = (B + C)^{n + 1}

Using Binomial distribution, we have

Aⁿ⁺¹ = ⁿ⁺¹C₀ Bⁿ⁺¹ + n+1C₁ BⁿC + ........ + n+1C_n+1 Cn+1

∵ C² is a null matrix, therefore C³ = C⁴ = .......= Cⁿ⁺¹ = 0

Now,

An+1 = n+1C0 Bn+1 + n+1C1 BnC

Aⁿ⁺¹ = Bⁿ⁺¹ + (n + 1) Bⁿ C

Aⁿ⁺¹ = Bⁿ [B + (n + 1) C]

Substitute n = 2020 in the above equation, we have

A²⁰²¹ = B²⁰²⁰ [B + (2020 + 1) C]

A²⁰²¹ = B²⁰²⁰ [B + (2021)C]

The correct answer is option (3).

x% of a = y% of b
z × x% of a = z × y% of b

Hence, Option C is correct.

HCF is 23. So the other two numbers would be,
(23 * 13) and (23 * 14).
Thus Larger Number = 23 * 14 = 322.

Let, the measure of the required angled be A°.
Then, measure of its complement = ( 90 – A )° measure of its supplement = (180 – A)°
According to question,
6(90° – A) = 2(180° – A) –12°
⇒ 540° – 6A = 360° – 2A – 12°
⇒ 4A = 192°
⇒ A = 48°.

The correct answer is Option 3.

Key Points

• Pandit Ram Narayan is a renowned musician and maestro of the sarangi, a stringed instrument used in Hindustani classical music. He is recognized as one of the most esteemed sarangi players in the world. Born on December 25, 1927, in Udaipur, Rajasthan, Pandit Ram Narayan has made significant contributions to the field of Indian classical music.
• The sarangi is a bowed instrument with sympathetic strings that resonate along with the main strings. It is known for its ability to produce a soulful and melodic sound, often compared to the human voice. Pandit Ram Narayan's mastery of the sarangi has brought immense popularity and recognition to the instrument.
• He has been instrumental in elevating the status of the sarangi as a solo instrument and has showcased its capabilities through numerous performances and recordings.
• Pandit Ram Narayan's unique style and virtuosity have earned him accolades and awards, including the prestigious Padma Vibhushan, the second-highest civilian award in India.
• His contributions to Hindustani classical music extend beyond his performances. Pandit Ram Narayan has also been actively involved in teaching and mentoring the younger generation of musicians, passing on his knowledge and expertise to future artists.
• Pandit Ram Narayan's musical journey and his dedication to preserving and promoting the sarangi have left an indelible mark on Indian classical music, making him a revered figure in the world of Hindustani classical music.

The logic followed here is:

So, '399' will complete the series.

Hence, the correct answer is "Option 1".

The correct answer is Black.
Key Points

• Black soil is also known as Regur soil.
• Regur soil is a type of clayey soil that is found in the Deccan Plateau region of India.
• Black soil is rich in nutrients, especially calcium, magnesium, and potassium, making it suitable for agriculture
• Black soil is also known as black cotton soil due to its high water-holding capacity.

Additional Information

• Peaty soil is characterized by high organic matter content and is usually found in wetland areas.
• Alluvial soil is formed by the deposition of sediments carried by rivers and is usually found in river valleys.
• Laterite soil is a type of soil that is formed in tropical regions with high rainfall and high temperatures, and is characterized by its reddish color and low fertility.

The correct answer is the Jallianwala Bagh massacre.

Key Points

• The letter was written by Rabindranath Tagore to Lord Chelmsford, the British viceroy, repudiating his Knighthood in protest of the Jalianwalla Bagh mass killing.
• Rabindranath Tagore was a Bengali polymath who worked as a poet, writer, playwright, composer, philosopher, social reformer, and painter.
  • He reshaped Bengali literature and music as well as Indian art with Contextual Modernism in the late 19th and early 20th centuries.

Additional Information

• The Jallianwala Bagh massacre, also known as the Amritsar massacre, took place on 13 April 1919.
  • A large peaceful crowd had gathered at the Jallianwala Bagh in Amritsar, Punjab to protest against the arrest of pro-Indian independence leaders Dr. Saifuddin Kitchlew and Dr. Satya Pal.
  • In response to the public gathering, the Anglo-Indian Brigadier R. E. H. Dyer surrounded the protesters with his Gurkha British Indian army unit, Sindh Sikh regiment, and 52nd Sikh regiment.
• The Chauri Chaura incident took place on 4 February 1922 at Chauri Chaura in the Gorakhpur district of the United Provinces in British India, when a large group of protesters participating in the non-cooperation movement, were fired upon by the police.

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 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,

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 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".