Indian Navy SSR Mock Test - 5 - Airforce X Y / Indian Navy SSR MCQ

The correct answer is "since".

Key Points

• Primarily, a conjunction is a word that joins words, phrases, and clauses together.
• Let's understand the implication of the correct conjunction:
• Since: We employ it to offer an explanation for something. It is used to insert a subordinate clause as a subordinating conjunction.
  • Example: Since his apartment was close enough for him to walk, Sean had no need to take a taxi.
  • She chose to travel alone since her spouse abhorred holidays so much.
• It is apparent from the above explanation that "since" is the correct conjunction for this sentence.
• Therefore, the correct sentence is: Since I have been working all night, I feel tired.

Additional Information

• Let us see the meaning of the word "Fiscal"
• Fiscal(Adj): Relating to finance
  • Ex: "fiscal responsibility"
• The word in the bracket -- Fiscal is a contextual fit and make the sentence meaningful.
• ​Hence, Fiscal is the most suitable fit for the blank.

The correct answer is 'Let the advisory be issued to the villagers to be on alert for the cyclone'.

Key Points

• The given sentence is an example of Active Voice. As per the question we have to change it into Passive Voice.
• The process of transformation is as follows:
  • The given sentence is an example of an Imperative sentence
  • Imperative sentence: If someone gives a command, request, expresses a desire, or wish, in a sentence then such sentences are called Imperatives sentences.
  • The structure of the given sentence will be Let + Sub +be + V3.
  • 'Let' will be added to start the sentence, as a passive form of a command.
  • 'issue' will be changed into 'be issued'.

Correct Sentence: Let the advisory be issued to the villagers to be on alert for the cyclone.​

Hinglish

• दिया गया वाक्य Active Voice का उदाहरण है। प्रश्न के अनुसार हमें इसे Passive Voice में बदलना है।
• परिवर्तन की प्रक्रिया इस प्रकार है:
  • दिया गया वाक्य एक Imperative sentence का उदाहरण है
  • Imperative Sentence: यदि कोई वाक्य में command, request, desire व्यक्त करता है, या इच्छा व्यक्त करता है, तो ऐसे वाक्यों को Imperative Sentence कहा जाता है।
  • दिए गए वाक्य की संरचना Let + Sub + be + V3 होगी।
  • एक command के passive form के रूप में, वाक्य को शुरू करने के लिए 'Let' जोड़ा जाएगा।
  • 'Issue' को 'be issued' में बदल दिया जाएगा।

The correct answer is "propagate"

Key Points

• Let's look at the meaning of the given words.
  • hibernate: (of an animal or plant) spend the winter in a dormant state.
  • stimulate: raise levels of physiological or nervous activity in (the body or any biological system).
  • calculate: determine (the amount or number of something) mathematically.
  • propagate: breed specimens of (a plant or animal) by natural processes from the parent stock.
• ​As per the meaning of the given words, "propagate" is the appropriate word choice for the blank.
  • ​Example: Propagation is the process through which plants reproduce and new plants are created.
• In the given sentence, propagation is a process used for reproducing plants from a single parent plant.
• So, we need to use propagate to complete the meaning of the sentence.

The correct sentence is: The fruits of a tree are either dry or fleshy and there are many different ways in which the seeds propagate.

Hence, the correct answer is option 4.

The correct answer is- 'who I do want.'
Key Points

• In the given sentence, 'who' is used incorrectly.
• To make the sentence correct replace 'who' with 'whom.' As in indirect narration, the sentence is changed to an assertive or declarative sentence. And 'whom' will be used for the objective case.
• Thus option 1 is the correct answer.

The correct sentence is: The receptionist asked me whom I wanted to meet in the office.
Additional Information

• Let's understand about the assertive sentences:
  • An assertive sentence is used to describe things or report an event. These are of two types - Positive and Negative. These sentences always end with a full stop.
  • Example:
    • ​Alex feels awkward when someone gives a compliment to him.
    • She does not like writing.

The correct answer is 'that they were well-to-do farmers'.

Key Points

• Refer to the lines from the passage: Listen daughter, we weren't always like this. It's the floods. It's a pity that we have had to take shelter by the highway and wait for customers day after day! We were respectable people. We had two granaries full of paddy.
  • It is evident from the above lines that they used to be respected people and well-to-do farmers with two granaries full of paddy.
• Thus, the appropriate answer is 'that they were well-to-do farmers'.

Hence, the correct answer is option (2).

Key Points

• Let's look at the meanings of the given word and marked option:
  • Permeate - to spread throughout. (फैलना, पूर्णतः भर देना)
  • Diffuse - to spread or scatter widely. (विस्तार करना)
• ​Let's look at the meanings of the other given options:​
  • Exude - to ooze out. (बह निकलना, टपकना)
  • Continue - to keep going. (जारी रखना)
  • Remain - to stay or be left in a particular state. (बने रहना, बचा हुआ)
• Clearly, the word 'Diffuse' is closest in meaning to the given word 'Permeate.'
• Therefore, the correct synonym of the given word is option 4.

Concept:

• A current-carrying wire produces a magnetic field because inside the conductor charges are moving.
• The magnetic field produced by current-carrying wire,
• 
• Where, µ₀ is called the permeability of a free space = 4π × 10⁻⁷, i = current in wire, B = magnetic field, l = distance from wire
• The magnetic field decreases as the radial distance increases.
• So, the maximum occurs on the surface of the wire

Calculation:

Given, the maximum magnetic field due to the wire is 5 × 10^-3 T,

The magnetic field decreases as the radial distance increases. So, the maximum occurs on the surface of the wire

 = 0.8 mm = 0.8 × 10^-3 m

Now,

⇒ i = 20 A

Concept:

According to Blaise Pascal, a French scientist observed that the pressure in a fluid at rest is the same at all points if they are at the same height and it is termed Pascal’s Law.

i.e., the pressure exerted by the fluid on an object at a certain height will be the same in all direction

and hence it can be expressed as

From the above fig. we can see that the force against area within a fluid at rest will always experience pressure perpendicular to their surface area, and the object will experience equal pressure throughout the surface.

And there are a number of devices, such as hydraulic lift and hydraulic brakes, are based on Pascal’s law. these devices used fluids for transmitting pressure.

In a hydraulic lift, as shown in the figure below, two pistons are separated by the space filled with a liquid

Now as Pascal suggested both the platform will have some pressure although the platform has a different surface area hence the force exerted on surface 2 will be much greater than on force one

$i.e.,P_1=P_2\Rightarrow \frac{F_1}{A_1}=\frac{F_2}{A_2}$

Here,

F1, F2 = force exerted on areas A1 and A2 respectively

P1, P2 = Pressure exerted on areas A1 and A2 respectively

Calculation:

Given:

Mass of car = 2000 kg

Area of cross-section of the piston = 375 cm², g = 9.8 m/s²

Force = Weight of car

⇒ Force on bigger piston = mg

= 2000 × 9.8 = 19600 N

∴ Pressure = 19600 /(375 × 10^-4)

⇒ Pressure, P0= 5.22 × 10⁵ Pa

Pressure 2 m below = P₀ + ρgh

= 5.22 × 105 + 800 × 9.8 × 2

⇒ Pressure 2 m below = 5.37 × 10⁵ Pa

CONCEPT:

Photoelectric effect:

• When the light of a sufficiently small wavelength is incident on the metal surface, electrons are ejected from the metal instantly. This phenomenon is called the photoelectric effect.

Stopping potential:

• It is defined as the potential required to stop the ejection of an electron from a metal surface when the incident beam of energy is greater than the work function of the metal.

Work function:

• It is the minimum amount of energy required so that metal emits an electron. It is represented by ϕ.
• Einstein’s equation of photoelectric equation:

⇒ KEmax = E - ϕo

Where E = incident energy of photons, ϕo = work function, and KE = maximum kinetic energy of electrons.

Calculation:

Case 1: When 5eV is incident

5eV = W + 2eV

W = 3eV

Case 2: When 6eV is incident

6 = 3 + K.E

K.E = 3 eV

To stop the electron, a negative potential is required whose magnitude is the equivalent voltage is (3V)

Hence stopping potential = -3V

PowerPoint is used to create overhead transparency, paper, 35mm slides, Photo Print or on-screen presentations.

Key Points

We can insert pictures (gif, jpeg), sounds, animation, video (mp4) and type text in presentations. There are Auto Layouts and templates that make the creation of a presentation simple. PowerPoint offers a way to preview show, add special effects to the slides as displayed on-screen and rehearse the timings of each slide.

Some features of MP PowerPoint:

• You can create a Presentation using a Blank Presentation or the Template.
• You can insert slides before and after any slide.
• There are many views to view any Presentation:
  • Slide View
  • Outline View
  • Slide Sorter View
  • Slide Show View
• Slide Sorter View can be used to alter the order of the slides.
• PowerPoint has all the editing functions you need to create an effective presentation.
• Changing the look of a presentation is simple and easy with colour scheme and colours and line styles. Templates determine the colour scheme, frame, font size and type and other characteristics that alter a slides appearance.

Hydrochloric acid ionises as follows :
HCl→ H⁺ +Cl^- 
H⁺ ions combine with water molecules to form H₃O⁺. Therefore, the ions present in dilute aqueous solution of hydrochloric acid are H₃O⁺ and Cl^-.

Given that:

Mass (M) = 10 kg and angle of incline plane (θ) = 30°

Coefficient of kinetic friction (μ) = 0.2

Let a be the acceleration of the block. Here weight (Mg) has two components-one along the inclined plane (Mg Sin θ) and another perpendicular to the plane (Mg Cos θ).

Normal (N) = Mg Cos θ

Friction (f) = μ N = 0.2 × Mg Cos θ

= 0.2 × 10 × 10 × Cos 30° = 20 × √3/2

= 10 × 1.7 = 17 N

Mg Sin θ – f = M a

10 × 10 × Sin 30° - 17 = 10 × a

Acceleration (a) = 33/10 = 3.3 m/s²

Key Points

Force: The interaction that after applying on a body changes or try to change the state of rest or state of motion of a body is called force. The SI unit of force is newton (N). It is denoted by F.

Force (F) = Mass (m) × acceleration (a)

Friction force: When two objects are in contact and one object moves or intends to move then a force develops between the two surfaces called frictional force. The friction force is usually denoted by “f”.

Friction force (f) = μ N

Where N is the normal force and μ is the coefficient of friction.

CONCEPT:

Resistivity (ρ):

• The property of a conductor that opposes the flow of electric current through them and independent of the shape and size of the materials but depends on the nature and temperature of the materials is called resistivity.
  • The unit for resistivity is the ohm-meter (Ω-m).
  • The resistivity of a material depends on its nature and the temperature of the conductor.
  • The resistivity of a material depends on its shape and size (length and area).
  • The resistivity of the conductor increases as the temperature increases.

EXPLANATION:

• The resistivity of any material depends on the temperature as

⇒ ρ_t = ρ0 [1 + α (T - T0)]

where, ρ0 = resistivity at standard temperature, ρ_t = resistivity at temperature t0 C, T0 = reference temperature, α = the temperature coefficient of resistivity.

• The resistivity of a material depends on its shape and size (length and area).
• The resistivity of the conductor increases as the temperature increases.
• So by the above explanation, we can say that only statement 1 is correct.
• Hence, option 1 is correct.

Important Points

Resistance is given as

l is the length of the conductor, A is cross-sectional area.

It does not mean, resistivity depends on the resistance.

Resistance depends upon resistivity, but the opposite is not true.

Calculation:

Given, (x + 2y3)  = y

⇒ xdy + 2y3dy = ydx

⇒ ydx - xdy = 2y3dy

Integrating both sides we get,

⇒ x = y³ + cy

∴ Solution of the differential equation is x = cy + y3

Concept:

Calculation:

Given:





∴ The value of adj. A is

Solution:

When two dice are thrown together, then the total number of all possible outcomes

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)}

∴ n(S) = 6 × 6 = 36

The favorable outcome of getting the same number on both dice is:

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6).

∴ The number of favorable outcomes = 6

∴ Required probability =

Solution:

Given, S1 = {x ϵ R ∶ x2 + | x | - 2 = 0} and S2 = {x ϵ R ∶ x2 + x - 2 = 0}

For S₁ : x² + |x| - 2 = 0

Case 1: x ≥ 0

x² + x - 2 = 0

⇒ x² + 2x - x - 2 = 0

⇒ x(x + 2) -1(x + 2) = 0

⇒ (x - 1)(x + 2) = 0

⇒ x = 1 and -2

But according to case 1, x ≠ -2

x = 1

Case 2: x < 0

x² - x - 2 = 0

⇒ x² + x - 2x - 2 = 0

⇒ x(x + 1) -2(x + 1) = 0

⇒ (x - 2)( x + 1) = 0

⇒ x = 2 and -1

But according to case 2, x ≠ 2

x = -1

Hence, S₁ = {1, -1}

For S₂: x² + x - 2 = 0

⇒ x2 + 2x - x - 2 = 0

⇒ x(x + 2) -1(x + 2) = 0

⇒ (x - 1)(x + 2) = 0

⇒ x = 1 and -2

Hence, S₂ = {1, -2}

So, S₁ ∩ S₂ = {1, -1} ∩ {1, -2}

= {1}

∴ The correct option is (4)

Definitions:

Diagonal matrix: A matrix whose all elements are zero except the diagonal entries.

Scalar matrix: A type of diagonal matrix whose all diagonal entries are same.

Unit matrix(identity matrix) : A scalar matrix whose all diagonal entries are 1.

Calculation:

A square matrix [aij] such that aij = 0 for i ≠ j

⇒ All elements are zero except the diagonal entries

⇒ [aij] is a diagonal matrix.

Also, aij = k, for i = j

⇒ All diagonal entries are the same but not equal to 1

⇒ [aij] is a scalar and diagonal matrix but not a unit matrix.

∴ The correct answer is option (2).

Calculation:

Given: x² + 3|x| + 2 = 0

Case - 1: when x ≥ 0

⇒ x² + 3x + 2 = 0

⇒ x² + x + 2x + 2 = 0

⇒ (x + 1) (x + 2) = 0

⇒ x = - 1 or - 2

∵ x ≥ 0 ⇒ The given quadratic equation has no real roots for x ≥ 0.

Case - 2: when x < 0

⇒ x² - 3x + 2 = 0

⇒ x² - x - 2x + 2 = 0

⇒ (x - 1) (x - 2) = 0

⇒ x = 1 or 2

∵ x < 0 ⇒ The given quadratic equation has no real roots for x < 0.

CONCEPT:

Power Set:

Let A be set, then the set of all the possible subsets of A is called the power set of A and is denoted by P(A)

i.e P(A) = {X : X ⊆ A}.

Note: If A is a finite set with m elements. Then the number of elements (cardinality) of the power set of A is given by: n (P(A)) = 2m.

CALCULATION:

Given: Set A contains 20 elements.

i.e n(A) = 20

As we know that if A is a finite set with m elements. Then the number of elements (cardinality) of the power set of A is given by:

n (P(A)) = 2m.

⇒ n (P(A)) = 2²⁰

∴ There are total 220 elements in the power set of A.

Concept:

The minimum and maximum value of a.sin x ± b.cos x is given by:

Calculation:

Given: sin x - √8cos x - 2

Compare sin x - √8cox x is a.sinx - b.cosx

Here a = 1 and b = √8

⇒

⇒

Subtract 2 in the above equation

⇒ -3 - 2 ≤ sin x - √8.cos x - 2 ≤ 3 - 2

⇒ -5 ≤ sin x - √8.cos x - 2 ≤ 1

Range [- 5, 1]

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.

Concept:

• A ⋃ B denotes the elements which are in set A or set B.
• A ∩ B denotes the elements which are in both set A and set B.

Calculation:

In the plot, the red line depicts y = x and the blue curve depicts y = e^x.

It can be seen from the plot that the two lines do not intersect anywhere. Hence, there is no common y for a given x in sets A and B.

Therefore, A ∩ B = ϕ

The correct answer is Kochi.Key Points

• Kochi Port is a major port on the Arabian Sea – Laccadive Sea – Indian Ocean sea route in the city of Kochi.
• It is also the first transshipment port in India
• Kochi port was known as the Queen of Arabian Sea.
• It was the center of the Indian spice trade for many centuries and was known to the Yavanas (Greeks and Romans) as well as Jews, Syrians, Arabs, and Chinese since ancient times.
• After the port Muziris in the vicinity of Kodungallur (Cranganore) was destroyed by Periyar's extensive flooding in 1341, Kochi gained prominence as a trading hub.
• The first known references to Kochi are found in writings by the Chinese explorer Ma Huan.
• He visited Kochi in the 15th century as part of Admiral Zheng He's expedition.

Additional Information

• Mangalore:
  • A significant port city in the Indian state of Karnataka is Mangalore.
  • Since it is located near the confluence of the Netravati and Gurupura rivers, the city's name in the Tulu language is Kudla, which means "junction."
• Pune:
  • Pune was the best city on the Deccan Plateau. So, it was given the name of Queen of Deccan.
  • It is also called the Oxford of the East due to having more educational institutes and centers than any other place in India.
• Trivandrum:
  • Thiruvananthapuram is located on the west coast of India near the extreme south of the mainland.
  • It was referred to by Mahatma Gandhi as the “Evergreen city of India”.
  • The city is characterized by its undulating terrain of low coastal hills. ​

The correct answer is Banihal.

Key Points

• Banihal Pass:
  • Banihal Pass is a mountain pass across the Pir Panjal Range at a maximum elevation of 2,832 m.
  • It connects the Kashmir Valley in the union territory of Jammu and Kashmir to the outer Himalayas and the plains to the south.
• The Pir Panjal ranges:
  • It lies in the Inner Himalayan region, running from east southeast to west-northwest across the states of Himachal Pradesh and Jammu and Kashmir in India, as well as Pakistan, Administered Kashmir in Pakistan, where the average elevation varies from 1,400 m to 4,100 m.
  • The Pir Panjal, Dhauladhar, and Mahabharat ranges are a part of the Himachal range.
  • Pir Panjal is the largest range on the Lesser Himalayas.

Additional Information

• Zoji La Pass:
  • It is in the Zaskar range in the Indian union territory of Ladakh.
  • The road route from Srinagar to Leh goes through this pass.
  • It has been created by the Indus River.
• Khardung La pass:
  • It is associated with the Ladakh mountain range in Jammu and Kashmir.
  • The pass on the Ladakh Range lies north of Leh and is the gateway to the Shyok and Nubra valleys and serves as a motorable route from Leh in India to Kashgar in Central Asia.
• Photu La pass:
  • It is on the Srinagar-Leh highway of the Himalayan Zanskar Range stand.
  • This mountain pass is referred to as the highest point on the highway, going beyond the well-known Zoji La.

Concept:

Surface-to-air missile (SAM):

• A surface-to-air missile (SAM), also known as a ground-to-air missile (GTAM), is a weapon that can be fired from the ground in order to take out aircraft or other missiles.
• This particular antiaircraft defence system is used by contemporary armed forces.

Explanation:

Trishul:

• It is a quick-reaction, all-weather surface-to-air missile with a short range (500 m to 9 km) that was created by India to defend against a low-level attack.
• As a part of the Integrated Guided Missile Development Program, it was created by DRDO.
• It can also be deployed from a ship as an anti-sea skimmer against moving targets and low-flying assault missiles.

Thus, Trishul is a surface-to-air missile.

Additional Information
Prithvi:

• The Integrated Guided Missile Development Program was used by the Defence Research and Development Organization of India to create the tactical surface-to-surface short-range ballistic missile known as Prithvi.
• It is sent out by the Strategic Forces Command of India.

Agni:

• India developed the Agni missile, an intercontinental ballistic missile.
• It bears the name of one of the five natural elements.
• The Integrated Guided Missile Development Program (lGMDP) was used to create Agni-I, the first missile in the series, which was tested in 1989.

Dhanush:

• Dhanush missile is an Indian short-range, ship-launched ballistic missile (ShLBM).

The correct answer is Maharashtra.

Key Points

• Lavani is a folk dance of Maharashtra.
  • It is a combination of traditional song and dance, which is particularly performed to the beats of Dholki which is a percussion instrument.
  • Lavani is noted for its powerful rhythm and has contributed substantially to the development of Marathi folk theatre.

Additional Information

The figure formed from the shapes given in the question figure is given below:

Hence, "option 1" is the correct answer.