Indian Navy SSR Mock Test - 8 - Airforce X Y / Indian Navy SSR MCQ

The correct answer is - 'Comely'
Key Points

• 'Comely' is an 'adjective' which means 'pleasant to look at; attractive (typically used of a woman)'
  • Example: the comely Italian actress Valeria Golino

Hence 'Pleasing in appearance' is 'Comely'

Additional Information

• The synonyms of the word 'Comely' are 'sightly, beautiful, bonnie, fair, bonny'
• The antonyms of the word 'Comely' are 'ugly, unflattering, improperly, dirty, indecent'

The correct answer is 'Whom.'

Key Points

• The relative pronoun 'which' is used for animals in general or non-living things.
  • Example: Raghav bought the top hybrid car, which will help him save on gas.
• "Whose" is a possessive adjective meaning "of or relating to whom".
  • Example: John works with that other chap whose name I can't remember.
• The relative pronoun 'who' is used mainly for people.
  • Example: The musician who wrote this song is Indian.
• ​“Who” is a subjective pronoun and “Whom” is an objective pronoun.
• “Who” is always subject to a verb, and “whom” is always working as an object in a sentence.
• If you can replace the word with “he” or "she,” use who.
• If you can replace it with “him” or “her,” use whom.
• The form "whom" is used as the object of a verb or of a preposition
  • Example: Who would like to go on vacation?
    Whom would you rather have as a boss?
• Therefore, the use of the relative pronoun 'whom' should be used to make the sentence grammatically correct.
  ​

​Correct sentence: Whom did you meet at the wedding reception last night?

The correct answer is - "and"

Key Points

• From the given options, the most appropriate answer is "and".
• And joins two independent words, clause, phrase, sentence.
  • Eg. She is intelligent and she is beautiful too.
• And works here as conjunction.
• Conjunction is a word or group of words that joins two or more words, phrase, clause etc.
• Let us see the usages of the other words given in options -
  • Because - to given reason of something.
    • Eg. I did not do my work because I was not well.
  • But - joins two contrasting ideas.
    • Eg. We go but we will not stay there.
  • As - joins to introduce two events happening at the same time or introduce similarity on something.
    • Eg. She's wearing the same shirt as I am.
• Thus, Option 2 is correct option.

The correct answer is 'dissipate'

Key Points

• Accumulate: To increase over a period of time
  • Example - Investigators have yet to accumulate enough evidence.
• Dissipate: to slowly become less until it disappears or to (cause to) gradually disappear or waste.
  • Example - The morning sun dissipated the fog.

Additional Information

Let's see the meaning of the options given.

Concept:

• The power P of a lens is defined as
• Where f is the focal length of the lens.
• The SI unit of power of a lens is m^-1 and is known as Diopter.
• The focal length of a converging lens is positive and that of a diverging lens is negative. Thus, the power of a converging lens is positive and that of a diverging lens is negative.
• The power of the combination of two lenses is P = P₁ + P₂

Calculation:

Given data,

The first lens is the convex lens, and the convex lens is the converging lens. So, the focal length and the power of the lens is positive

Focal length of 1st lens, f₁ = 25 cm = 0.25 m,

Now, the power of the first lens,

Now, the second lens is the concave lens, and the concave lens is the diverging lens. So, the focal length and the power of the lens is negative.

Focal length of 2nd lens, f₂ = -25 cm = -0.25 m,

Now, the power of the second lens,

The power (in diopters) of the combination, P = P₁ + P₂

⇒ P = 4 - 4 = 0 D

• Electromagnetic waves are transverse in nature.
• They travel with a constant velocity in vacuum which is 3×10⁸ m/s.
• They are non-mechanical waves that is they do no require material medium for their propagation.
• They propagate with varying electric fields and magnetic fields which are perpendicular to each other and also perpendicular to the direction of propagation.
• The energy in electromagnetic wave is divided equally between electric and magnetic fields.
• The oscillating electric and magnetic fields are in same phase, hence they both attain the maxima and minima at the same time.

Concept:

Acceleration is defined as the rate of change of velocity.

Acceleration = Change in velocity Time taken

Its S.I. Unit is m s^-2.

Calculation:

X = 5t - 2t²

y = 10 t

dxdt=5−4t

dydt=10

V_x = 5 - 4t

V_y =10

dvdtx=−4

dvdty=0

a_x = - 4 a_y = 0

Concept:

• Ionization: It is the process by which an atom or a molecule acquires a negative or positive charge by gaining or losing electrons, resulting electrically charged atom or molecule is called an ion.
  • Removing an electron from a sodium atom forms a positively charged Na⁺ ion.
  • Adding an electron to a chlorine atom forms a negatively charged Cl^- ion.
• Adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number but does not form ions.
  • Adding a proton to the nucleus of an atom of hydrogen creates an atom of helium.
• Adding or removing neutrons from the nucleus results in the creation of isotopes.
  • Carbon 12 and Carbon 14 are both isotopes of carbon, one with 6 neutrons and one with 8 neutrons (both with 6 protons).

Concept:

First Law of Thermodynamics:

• The change of internal energy is a path independent function and depends upon initial and final position. Mathematically, it is given as

ΔU = Q - W

Q is net heat transfer, w is work done on the system.

• The work done is represented by the area under the cycle of the PV curve.
  • If the direction is clockwise, the work done is positive. If it is anticlockwise, work done is negative.

Calculation:

Here, The direction is clockwise. So, the work done will be positive.

Area under the curve = Area of Rectangle ABCD

Area of Rectangle = length × breadth

Area = AB × BC -- (1)

AB = 2P - P = P -- (2)

BC = 2V - V = V --- (3)

Putting (2) and (3) in (1)

Area = P × V = PV

So, the correct answer is PV.

Additional Information

• Work done on the system changes the volume of the system. Work done is expressed as

P is pressure, Vi is initial volume, Vf is the final volume.

• Work done is positive when the volume is increasing and vice versa.
  • The thermodynamic process can be represented on a Pressure volume graph (PV graph)
  • For a cyclic process, the total change in energy is zero

ΔU = 0 for cyclic process.

CONCEPT:

• Resistance (R): The resistance offered to the flow of current is known as resistance.
  • The SI unit of resistance is the ohm (Ω).
• Mathematically resistance can be written as:

Where R = resistance, l = length, A = area of cross-section and ρ = resistivity

CALCULATION:

Given that: L2 = L1/2 ⇒ L1/L2 = 2

• When the wire is melted and its length halved then its diameter will increase automatically. But the volume of the wire will be the same.​

∴ The volume of original wire = volume of new wire

Concept:

For an incompressible, non-viscous fluid flowing through a hollow tube with an area of cross-section area A₁ and A₂ at any point.

Let us consider the flow of fluid is streamline hence according to the equation of continuity

Here ρ₁ & ρ₂ are the respective density of the fluid and v₁ & v₂ are velocity at cross-section area A_1­& A₂.

Now, if the fluid is incompressible ρ₁ = ρ₂

∴

This is known as the equation of continuity

Calculation:

Given that,

Area of cross section at point 1, A₁ = 50 m²

Area of cross section at point 2, A₂ = 10 m²

Velocity of fluid at point 1, v_{1 ­} = 10 m/s

And by using equation of continuity we can see that

∴v2=50×1010=50m/s

Hence option 4 is correct among all

The correct answer is Fats.

Key Points

• Fats have the highest gross calorific value.
  • The digestion of fats starts from the small intestine.
  • Bile from the liver makes the solution alkaline and breaks down the big fat globules into smaller ones.
  • Lipase from the pancreas breaks down the fats further in the small intestine.
  • Intestinal juice completes the process of digestion of fats and is absorbed.
  • Fats are found in vegetable oils, animal, fats and other foods like nuts.

Additional Information

• About Carbohydrates:
  • They are sugars and starches and also give us energy.
  • They are found in many foods like cereals, vegetables, etc.
  • The mouth or the buccal cavity is the beginning of carbohydrate digestion.
  • Salivary amylase breaks down the carbohydrates (starch) into sugars with the help of the grinding action by the teeth.
  • Pancreatic amylase digest the further carbohydrates in the small intestine.
• About Vitamins:
  • Vitamins were founded by Funk.
  • Vitamins help to keep the organs healthy, and the systems in good working order.
  • It also helps us to fight germs and therefore prevent disease.
• About Proteins:
  • The chewed and partly digested food enters from the mouth to the stomach.
  • Here the pepsin released by it digests protein present in the food.
  • The hydrochloric acid creates an acidic environment for the action of pepsin.
  • Trypsin released in the small intestine, from the pancreas, digests the proteins which are then absorbed after the action of some intestinal enzymes.

The correct answer is Hypertext Transfer Protocol.

Key Points

• HTTP stands for Hypertext Transfer Protocol. Hypertext Transfer Protocol is an application protocol used for data communication. It is the base of data communication in the World Wide Web. It provides a standard for web browsers that facilitates users to exchange information over the internet.
• HTTP is used by most websites to access any file or page. HTTP is a request-response protocol in the client-server computing model. It is an application layer protocol designed within the framework of the Internet Protocol Suite.
• Hypertext - A text containing a link within it, is known as hypertext. If you click on a word on a webpage and it redirects you to a new page, it means you have clicked on a hypertext.​
• It is the protocol where encrypted HTTP data is transferred over a secure connection. It ensures data security over the network - mainly public networks like Wi-Fi.
• By virtue, HTTPS encryption is done bi-directionally, which means that the data is encrypted at both the client and server sides. Only the client can decode the information that comes from the server. So, HTTPS does the encryption of data between a client and a server, which protects against eavesdropping, forging of information, and tampering of data.

Additional Information

• HTTPS is HTTP with encryption.
• The only difference between the two protocols is that HTTPS uses TLS (SSL) to encrypt normal HTTP requests and responses. As a result, HTTPS is far more secure than HTTP.
• A website that uses HTTP has http:// in its URL, while a website that uses HTTPS has https://.

Joule is the unit of work or energy; it is equal to the work done by a force of one newton acting through one meter. It was named in honor of the English physicist James Prescott Joule. It equals 107 ergs, or approximately 0.7377 foot-pounds. In electrical terms, the joule equals one watt-second—i.e., the energy released in one second by a current of one ampere through a resistance of one ohm.

Concept:

Power: The rate of work done by electric energy is called power. It is denoted by P.

• The SI unit of power is the watt (W)
• 1 Kilo-watt = 1000 Watt

1 unit of electric energy: When a one-kilowatt load works for 1 hour then the energy consumed is called 1 unit of electricity.

• 1 Unit of electricity = 1 kWh = 1000 Watt-hour = 3.6 × 106 J

Calculation:

Given:

P = 40 W = 0.04 kW, V = 220 V, t = 24 hr

Using

R = 1210 Ω

Now, the units consumed = P × t

= 0.04 × 24

= 0.96 kWh = 0.96 Unit

Given

The coordinates are:

A (-3, 10) and B (6, -8)

Concept used

Using the section formula, if a point (x, y) divides the line joining the points x₁, y₁ and x₂, y₂ in the ratio m: n, then

(x, y) = (mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n)

Solution

Let the ratio be m: n, then

⇒ (mx2 + nx1)/(m + n) = - 1

⇒ (6m - 3n)/(m + n) = - 1

⇒ (6m - 3n) = - m - n

⇒ 7m = 2n

⇒ m: n = 2: 7

Now,

(my2 + ny1)/(m + n) = y

⇒ (- 8 × 2 + 10 × 7)/(2 + 7) = y

⇒ - 16 + 70 = 9y

⇒ 9y = 54

⇒ y = 6

Hence, The correct option is 4

Concept:

The center of the circle x2 + y2 + 2gx + 2fy + c = 0 is (-g, -f) and its radius r is given by r2 = g2 + f2 - c.

Calculation:

The given equation of the circle is x2 + y2 - 2x - 4y - 5 = 0.

Comparing it with the general equation of the circle we get:

g = -1, f = -2, c = -5

Using the relation r2 = g2 + f2 - c, we get:

⇒ r2 = (-1)2 + (-2)2 - (-5)

⇒ r = √10

For doubling the area, the radius must become √2 times.

∴ Required radius = √20.

Center is (-g, -f) = (1, 2).

Equation of the circle is: (x - 1)² + (y - 2)² = (√20)²

⇒ x² + y² - 2x - 4y - 15 = 0.

Concept:

Cube Roots of unity are 1, ω and ω2

Here, ω =  and ω2 =

Property of cube roots of unity

1) ω3 = 1

2) 1 + ω + ω2 = 0

3) ω = 1 / ω 2 and ω2 = 1 / ω

4) ω3n = 1

Explanation:

(1 - ω + ω2)6 + (1 - ω2 + ω)6 = {(1 + ω2) - ω}6 + {(1 + ω)- ω2 }⁶

= (- ω - ω)⁶ + (- ω2 - ω2)⁶ (∵ 1 + ω + ω2 = 0

= (- 2ω )⁶ + (-2ω2)⁶

= (-2)⁶ ω⁶ + (- 2)⁶ (ω²)⁶

= 2⁶ ω6 + 26 ω¹²

= 64ω⁶ + 64ω¹²

= 64 (ω³)² + 64 (ω³)⁴

= 64 (1)² + 64 (1)⁴ (∵ ω³ = 1)

= 64 × 1 + 64 × 1

= 64 + 64

= 128

∴ (1 - ω + ω2)6 + (1 - ω2 + ω)6 = 128

Concept:​​​​​​

cos (-θ) = cos θ

cos (2nπ - θ) = cos θ

Calculation:

We have,

⇒ sin(21π2)

Remove full rotations of 2π until the angle is between 0 and 2π

⇒

As we know that the value of  is 1.

As we know, the value of cos θ repeats after an interval of 2π or 360°

⇒ cos (-1740°) = cos (1740°) [∵ cos (-θ) = cos θ]

We know that cos (2nπ - θ) = cos θ

As sin θ and cos θ are have a time period of 360°

⇒ cos (1740°) = cos (5 × 360° - 1740°)

⇒ cos (1740°) = cos (1800° - 1740°)

⇒ cos (1740°) = cos (60°)

As we know, cos 60° = 1/2

⇒ cos (-1740°) = 1/2.

∴ The value of  is 1 and the value of cos (-1740°) is 1/2.

Concept:

Equivalent set: When two sets, for example, A and B have the same cardinality if there exists an objective

function from set A to B are called Equivalent set, i.e n(A) = n(B).

Equal set: Two sets for example A and B can be equal only if each element of set A is also the element of

the set B. If two sets are the subsets of each other, they are said to be equal. So, it can be written as,

A = B

A ⊂ B and B ⊂ A ⟺ A = B

Calculation:

Statement I: A = {x: x is prime such that 1 < x < 10} and B = {2, 3, 5, 7} are equal sets.

A = {x: x is prime such that 1 < x < 10}

= {2, 3, 5, 7}

Now, the number of elements in A and B are the same, i.e., 4 and all the elements are also equal.

Therefore, A = B

A = {x: x is prime such that 1 < x < 10) = {2, 3, 5, 7} = B

Statement I is correct.

Statement II: Sets A = {a, e, i, o, u) and B = {e, i, a, o, u} are unequal sets.

We know that the order of the elements does not impact the equality of the two sets.

Therefore, set B can be written as B = {a, e, i, o, u} after rearranging the elements of B.

Hence, A = {a, e, i, o, u} = B

Sets A and B are equal sets.

Statement II is incorrect.

∴ Only Statement I is correct.

Using the formula given above 

∴ I1 + I2  = x + C

Concept Used:

Greatest Integer Function: (Floor function)

The function f (x) = [x] is called the greatest integer function and means greatest integer less than or equal to x i.e [x] ≤ x.

The domain of [x] is R and range is I, where R is the set of real numbers and I is the set of integers.

From the graph, we can say that the function is discontinuous at every integer.

The function f ( x )= [x] is continuous for all x , except integral values of x.

Calculation:

f(x) = x + [x]

So for this domain,

x ∈ R

Referring to the graph, the function f ( x ) = x + [x] is continuous for all x, except integral values of x so f(x) will not be continuous and differentiable for x ∈ R

So,

Hence,  does not exist.

Given:

The probabilities of the occurrence of two events E and F are 0.25 and 0.50 respectively.

The probability of their simultaneous occurrence is 0.14.

Concept used:

By definition of P(E or F) under axiomatic approach(also called addition theorem) we know that: P(E∪F) = P(E) + P(F) – P(E∩F)

Calculation:

P(E) = 0.25

P(F) = 0.50

P(E ∩ F)= 0.14

The probability that neither E nor F occurs is = P(E' ∩ F')

⇒ [1 - P(E ∪ F)]

We know that P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0 .25 + 0.50 - 0.14

⇒ 0.61

Now, P(E' ∩ F')

⇒ 1 - 0.61

⇒ 0.39

∴ The required answer is 0.39.

Concept Used:-

We know that the Taylor expansion of e^x,

Since, 0! is equal to 1. So, the above sum can be written as,

Let the sum of the above series is S. Then,

The denominator number written with factorial is one less than the numerator number written with square. Thus, in general, this series can be written as,

Now using equation (1), (2) and (3) we get,

⇒ S = e + e + 2e + e

⇒ S = 5e

So, the sum of the given series is 5e.

Hence, the correct option is 1.

Concept:

• National integration is essential for any nation with socio-cultural, religious, linguistic, and geographical diversities.
• National Symbols like the National Flag, the National Anthem, and the National Emblem help to remind
  us that we all have one identity.
• The national calendar is also one of the national symbols.

Explanation:

National Saka:

• The Saka Era is believed to be founded by King Shalivanhana of the Shatavahana dynasty.
• The Saka calendar consists of 365 days and 12 months which is similar to the structure of the Gregorian Calendar.
• Our national calendar is based on the Saka calendar.
• The first month of the Saka calendar is Chaitra which corresponds to March 22 of the Gregorian calendar.
• The Saka calendar began in 78 CAD.
• This means for example if it's 2022 by the Gregorian calendar, in the Saka calendar the year will be 1944.

Thus, our national calendar is national saka.

Additional Information

Jana Gana Mana:

• It is the national anthem of India.
• It was composed by Rabindranath Tagore and was first sung at the 1911 convention of the Indian National Congress.
• The Jana Gana Mana was declared India’s National Anthem on 24th January 1950.

​Vande Matram:

• It is the national song of India.
• It was composed by Bankim Chandra Chattopadhyaya.
• On 24 January 1950, the Constituent Assembly of India adopted “Vande Mataram” as a national song.

• The Dolphin kick is associated with the Swimming.
• The Dolphin kick technique is used by professional swimmers, they use that motion that propels them forward underwater after diving in, and at the underwater turns.
• This technique is not just about the legs but It requires a swimmer's entire body to crack like a whip, creating a fluid wave that starts at the chest and increases in amplitude as it travels all the way through the toes, and it seems like a dolphin that's why it is called Dolphin kick.
• The Dolphin Kick is assumed as the fastest way to get from one point to another underwater but it needs a lot of practice as it is a very difficult move.

Extra Information :

• The international rules for swimming disciplines are laid down by Federation Internationale de Natation (International Swimming Federation) FINA.
• There are four standard strokes in swimming a front crawl, backstroke, breaststroke, and butterfly.

The correct answer is England.

Key Points

The Wimbledon Championship:

• The Wimbledon Championship is the oldest Lawn Tennis tournament in the world. This tournament is the only tournament that is played on the Grass Court instead of Turf or Clay Court and it is played in a round-robin format.
• The Championship was started on 9th July 1877.
• It is hosted in London (England) every year.
• This is one of the four Grand Slams Tournament of Lawn Tennis. Other Three Grand Slams of Lawn Tennis are (Australian Open, French Open, and The USA Open).
• The Wimbledon tournament traditionally took place in London over two weeks in late June and early July every year, starting on the last Monday in June and culminating with the Men's Singles and Women's Finals on the same day.
• The inaugural tournament of Wimbledon was won, by Spencer Gore.
• The Matches of the tournament in the Men's Singles and Men's Doubles are best-of-five sets and the rest of all other events are best-of-three sets.

​Image of the Trophy:

The correct answer is Cauvery.

Key Points

• The Mettur Dam is one of the largest dams in India and also the largest in Tamil Nadu, located across the river Cauvery.
• Mettur is known for its huge dam, power generation, chemical manufacturing, and aluminium production.
• Most of the water requirements for irrigation in Tamil Nadu is provided by the Mettur Dam.
• The Mettur Dam is also called Stanley Reservoir.
• The dam was made in the year 1934 (after 9 years of foundation stone).
• The maximum height and width of the dam are 214 and 171 feet respectively.

Additional Information

Har Gobind Khorana is associated with the discoveries in genetic engineering.

Key Points

• Khorana -
  • In 1966, H. Gobind Khorana and his coworkers used long, artificial mRNA molecules containing only one nucleotide repeated continuously, or different nucleotides in repeating patterns.
  • The researchers added each artificial mRNA to ribosomes in a test tube and studied the sequence of amino acids in the polypeptide chain made by the ribosomes.
  • Khorana’s method, combined with the results of Nirenberg and Leder experiments, deciphered all the 64 codons in the dictionary of genetic code.

Additional Information

• James Watson and Francis Crick -
  • They deduced the DNA structure in 1953 from Erwin Chargaff’s rules, knowing the appropriate tautomeric forms of the nitrogen bases and studying Rosalind Franklin’s X-ray diffraction studies of DNA.
• Meselson and Stahl -
  • They demonstrated that the mechanism of replication is semiconservative.
  • This means that each new DNA helix is composed of one old strand and one new strand.
  • The DNA replication requires a template to make a new copy of DNA, nucleoside triphosphate building blocks, and the enzyme DNA polymerase.
  • DNA polymerases synthesize DNA in a 5′-to-3′ direction using RNA primer.

The Danish World No.1 Viktor Axelsen clinched victory in the Japan Open final after defeating Jonatan Christie of Indonesia.
In women’s singles, world number two An Se-Young of South Korea beat He Bing Jiao of China to clinch the title. She also replaced replacing Japan’s reigning world champion Akane Yamaguchi to bag the World No. 1 spot.