SSC CHSL Previous Paper 5 (Held On: 5 March 2018 Shift 3) (Previous Year Paper)

The correct answer is distillation

Key Points

• Distillation means the action of purifying a liquid by a process of heating and cooling.
• Examples of uses of distillation include purification of alcohol, desalination, crude oil refining, and making liquefied gases from air.

The correct answer is BAC

Key Points

• B should be the first in sequence. 'Indian' is an adjective that needs a noun later on to qualify.
• A tells what to leave. Thus, should be next in sequence.
• C is the continuation of A. Fair share means a reasonable amount.
• Thus, the sentence becomes: I belong to the Indian banking family, and thanks to the leave fare concession (LFC), I have a fair share of travelling experience.

The correct answer is were built

Key Points

• Since the sentence is in past tense, we need past tense in the improvement part.
• If the subject is plural, we need a plural verb after it and if the subject is singular, we need a singular verb after it.
• 'Tunnels' is plural, so a plural verb should be used after it.
• 'was/ were + V₃' is used in passive voice.

Thus, the sentence becomes: Tunnels were built to connect houses and places of worship whereas innovative trick doors were attached to the underground cities.

The correct answer is are influenced

Key Points

• What is understood is a generalized statement. So it should be in present tense.
• 'is/are + V₃' is used in passive voice.
• If the receiver of the action is emphasized upon, then the sentence is in passive voice.

Thus, the sentence becomes: I understood that we are influenced by what we see, what we hear.

The correct answer is Option 4 i.e Felicitous

Key Points

• Let's look at the meaning of the given options. 
• Bias: prejudice
  

Example: There was evidence of bias against foreign applicants.

• Disparity: a great difference.
  

Example: Economic disparities between different regions of the country

• Asperity: the harshness of tone or manner.
  

Example: He asked with some asperity just what they were implying.

• Felicitous: well-chosen or suited to the circumstances.
• Hence we find that Option 4 is thus the correct answer.

The correct answer is Parochial

Key Points

• The meanings of the words are:
• Indulgent: having or indicating a readiness or over-readiness to be generous to or lenient with someone.
  

Example: He had been a strict father but was indulgent to/towards his grandchildren.

• Parochial: narrow in outlook
  

Example: Unless there is a general representative quality to representations their significance can only be of extremely parochial interest.

• Egotistical: excessively conceited or absorbed in oneself; self-centred.
  

Example: H**e's selfish, egotistical, and arrogant

• Liberal: willing to respect or accept behaviour or opinions different from one's own; open to new ideas.
  

Example: They have liberal views on divorce.

• Option 2 is thus the correct answer.

The correct answer is to come to the point.

Key Points

• The phrase 'cut to the chase' means 'come to the point.'
• Example: I had to listen to him rant for two hours before he finally cut to the chase.

Thus, option 1 is the correct answer.

The correct answer is A person’s occupation or position within society.

Key Points

• A walk of life: the job someone does or the position they have in society.
• Example: 
• People from all walks of life use the public library.
• There are people who underperform in every walk of life.

The correct answer is Opens

Key Points

• The structure of the sentence is such that simple present tense of the verb should be here and also singular verb should be used as 'this' is referring back to 'gift'.
• Option 1 is thus the correct answer. The other options are incorrect.

The correct answer is of

Key Points

• The only preposition that fits here is 'of' as it mentions what the gift is composed of or what it is. Option 4 is thus the correct answer. The other options do not fit here.

The correct answer is narrate

Key Points

• The form of the verb should be transitive as 'to' is written here thus the correct option is 'narrate.'
• Narration: the act or process of narrating
• Narrator: a person who tells a story or gives an account of something

The correct answer is or

Key Points

• Nor: You use nor after a negative statement in order to introduce another negative statement that adds information to the previous one.
• But also: 'but also' is used after 'not only'. It is used for emphasizing the fact that there is something more to add.
• But: You use but to introduce something which contrasts with what you have just said, or to introduce something which adds to what you have just said.
• Or: You use or to link two or more alternatives.
• Thus, 'or' is the correct answer.

The correct answer is creativity

Key Points

• The word 'creation' means 'production or originating' and makes no sense here.
• The word 'creativity' which means 'the use of imagination or original ideas to create something; inventiveness' is the correct word here. It means that people with this trait love to stare out of the window and enjoy the scenic view.
• create: To create something means to cause it to happen or exist. It does not fit in contextually.
• Thus, creativity is the correct answer.

The correct answer is Curiosity

Key Points

• Curiosity means a strong desire to know or learn something.
• Example: Ryle accepted more out of curiosity than anything else.

The correct answer is The teacher said that the moon goes round the earth

Key Points

To get the indirect speech we have to follow the given steps:

• We don't make changes in the reporting verb when there is no object after the reporting verb.
• When the reporting verb is in an assertive sentence we follow these steps-
• Reporting verb 'said' remains as it is.
• Connector 'that' is used in place of commas.
• The tense and personal pronouns of reported speech remain unchanged if it's a universal statement.

Hence following these steps we get the final sentence - The teacher said that the moon goes round the earth.

The correct answer is Sita is loved by Ram.

Key Points

• In Active Voice, a sentence emphasizes the subject, performing an action.
• In Passive Voice, a sentence emphasizes the action or the object of the sentence.
• The given sentence is in the active voice and 'Ram' is the subject and 'Sita' is the object.
• When we convert this sentence into passive voice, the subject 'Sita' of the active voice becomes the object, the object 'Ram' becomes the subject.
• The active format "V₁" should be converted into the passive format "is/are + V₂".
• This is the active and passive voice rule for the present indefinite tense.
  

Hence, the correct answer is option 2.

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Additional Information

• Verbs of passive format have a different set of tenses (*V3 - Past participle or Third form of the Verb) as given below in the table:
  

 

The correct answer is QRP

Key Points

• Q is the first part as it has the main factor mentioned 'biological evolution.' It mentions what anthropologists hold.
• 'Not only...but also' comes in pair and follows the rule of parallelism. So, R will be followed by P.
• Thus, the sentence becomes: Some modern anthropologists hold that biological evolution has shaped not only human morphology but also human behaviour.

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Additional Information

• anthropologist: a person who specializes in anthropology i.e. scientific study of people, society, and culture.
• evolution: the process of gradual change that takes place over many generations, during which species of animals, plants, or insects slowly change some of their physical characteristics.
• morphology: the study of the internal structure of words and forms a core part of linguistic study today.

The correct answer is assertive

Key Points

• Meek means humble or weak.
• Assertive means having or showing a confident and forceful personality
• Quiet: Someone or something that is quiet makes only a small amount of noise.
• Moderate: You use moderate to describe something that is neither large nor small in amount or degree.
• Humble: A humble person is not proud and does not believe that they are better than other people.
• Thus, assertive is the opposite of Meek.

The correct answer is skillful

Key Points

• 'Inept' means 'artless or clumsy; showing no skills.'
• Clumsy: A clumsy person moves or handles things in a careless, awkward way, often so that things are knocked over or broken.
• Artless: Someone who is artless is simple and honest, and does not think of deceiving other people.
• Inadept: Not adept.
• Skillful: having or showing skill.
• Thus, skillful is the opposite of Inept.

The correct answer is Required

Key Points

• Incumbent: necessary
  

Example: It is incumbent upon (= necessary for) all of us to create a safe community.

• Increase: to (make something) become larger in amount or size
  

Example: Incidents of armed robbery have increased over the last few years.

• Redundant: (especially of a word, phrase, etc.) unnecessary because it is more than is needed
  

Example: Changes in technology may mean that once-valued skills are now redundant.

• Choice: If there is a choice of things, there are several of them and you can choose the one you want.
  

Example: It's available in a choice of colours.

• Required: essential, needed, or necessary
  

Example: eight editions were published, each required reading for trainees.

• Thus, required is the synonym of incumbent

The correct answer is ape

Key Points

• The meanings of the words are;
• Imitate: copy or simulate
  

Example: Some of the younger pop bands try to imitate their musical heroes from the past.

• Reverse:  make (something) the opposite of what it was.
  

Example: The new manager hoped to reverse the decline in the company's fortunes.

• Ape: imitate (someone or something), especially in an absurd or unthinking way.
  

Example: He called the new building unoriginal and said that it merely aped the classical traditions.

• Clash: a violent confrontation.
  

Example: Students clashed with police after demonstrations at five universities.

• Repulse: cause to feel intense distaste and aversion.
  

Example: The enemy attack was quickly repulsed.

• Thus, we can see from the meanings of the given words that option 2 is the correct answer since the verb ape means to imitate.

The correct answer is begging

Key Points

• The meanings of the words are:
• Abetting: encourage or assist (someone) to do something wrong, in particular, to commit a crime.
• Begging: ask someone earnestly or humbly for something.
• Caging: imprisoning
• Daring: bold
• Your self-esteem is how you feel about yourself. For example, if you have low self-esteem, you do not like yourself, you do not think that you are a valuable person, and therefore you do not behave confidently.
• Thus option 2 fits here conveying the meaning that self-esteem demands not to beg for something which can be earned.

The correct answer is at

Key Points

• Awful at something: very bad at doing something
• Example:
  

I’m awful at remembering names.

• Thus, the complete sentence is: I am awful at picking vegetables

The correct answer is 1

Key Points

• The error lies in part 1 of the sentence as the noun 'quarter' is incorrect and must be replaced with the adjective 'quarterly'. Here we need an adjective to qualify the noun 'results'.
• Quarter: one of four equal parts of something
• A quarterly event happens four times a year, at intervals of three months.
• It should read as: 'In June 2017, an anodyne footnote to the Bank of Baroda’s (bob) quarterly results mentioned a..'

The correct answer is 2

Key Points

• The error lies in part 2 of the sentence as the verb 'decided' in past tense is incorrect. It must be in participle form 'deciding' or the preposition 'to' should be written and the form of the verb should be transitive 'decide.'
• It was difficult deciding about break up.

                                 OR

          It was difficult to decide about break up.

As ‘room’ is found inside a ‘House’,

Similarly,

‘Needle’ is found inside a Clock.

But,

Student : Study does not follow the above logic,

also,

Car : Steering is the reverse of the logic, as the steering is found inside the car.

Hence, the correct answer is ‘Needle : Clock’.

The pattern followed here is,

59 + 3 = 62;

Similarly,

66 + 3 = 69.

Hence, the correct answer is ‘69’.

The table showing the positional value of the alphabet series is,

The pattern followed here is,

Each letter is shifted by four places to get the next letter of the set.

Similarly,

Hence, the correct answer is ‘KTM : OXQ’.

All options except ‘Son – Friend’ are blood relations.

Thus, ‘Son – Friend’ is the odd one out.

Hence, the correct answer is ‘Son – Friend’

The logic followed here is,

Second Number = (First Number)².

Applying the above logic to each option, we get

1. 15 - 225 → 15² = 225. 2. 25 - 625 → 25² = 625. 3. 35 - 1225 → 35² = 1225 4. 45 - 2525 → 45² = 2025 ≠ 2525.

All the given pairs except "45 - 2525" follow the logic and thus it is the odd one out.

Hence, the correct answer is "45 - 2525".

Table showing the positional values of the alphabetical series,

The pattern followed here is,

Each letter is shifted forward by three places as per English alphabetical order.

And, checking each option one by one we get,

1. ADG → A + 3 = D; D + 3 = G

2. HKN → H + 3 = K; K + 3 = N

3. RUY → R + 3 = U; U + 4 = Y

4. GJM → G + 3 = J; J + 3 = M

Thus RUY does not follow the logic.

Hence, the correct answer is RUY.

As per the dictionary order, the words are arranged as below

4. Solution
5. Solve
6. Somber
7. Sometimes
8. Sonorous

Hence, the correct answer is ‘45321’.

The pattern followed here is:

2187 ÷ 3 = 729;

729 ÷ 3 = 243;

243 ÷ 3 = 81;

81 ÷ 3 = 27;

27 ÷ 3 = 9

Hence, the correct answer is ‘9’.

According to the English alphabet and their positional values:

The pattern followed here is shifting the letters forward according to the alphabetical order as shown below,

 

Hence, the correct answer is ‘TYZ’.

As per the information given in the question, the position of Ashok and Bharat is shown below,

Position of Ashok from the left end = 17

Position of Bharat from the left end = 17 + 19 = 36

Bharat is at the exact centre of the row, which means there are 35 trucks to the left of Bharat and 35 trucks to the right of Bharat.

Therefore, the number of trucks to the right of Ashok is,

35 + (36 – 17) = 54

Hence, the correct answer is ‘54’.

The possible word formation on each option we get,

1. Count → ‘ACCOUNTING’ →  hence word can be formed. 2. Actually → As ‘L’ is not there in the word ‘ACCOUNTING’ →  hence word cannot be formed. 3. Acting → 'ACCOUNTING’ → hence word can be formed. 4. Ant→ ‘ACCOUNTING’, hence word can be formed.

Thus, ‘Actually’ is the odd one out.

Hence, the correct answer is ‘Actually’.

The positional values of the English alphabet are as follows:

The logic followed here is shifting each letter of the word forward  by one place as shown below,

 

Similarly, PLAYER can be coded as,

Hence, the correct answer is ‘QMBZFS’.

Given equation: 5 + 10 × 21 ÷ 5 - 15 = ?

On replacing the given symbols as per the above table, we get

5 - 10 + 21 × 5 ÷ 15

= 5 - 10 + 7

= 12 - 10

= 2

Hence, the correct answer is ‘2’.

Given equation: 10 × 4 + 5 - 30 ÷ 6 = 31

Checking each option individually we get

1. × and - → 10 - 4 + 5 × 30 ÷ 6 = 31

10 - 4 + 5 × 30 ÷ 6

= 10 - 4 + 5 × 5

= 10 - 4 + 25

= 35 - 4

= 31 ⇒ LHS = RHS.

2. ÷ and - → 10 × 4 + 5 ÷ 30 - 6 = 31

10 × 4 + 5 ÷ 30 - 6

= 40 + 5 ÷ 30 - 6

= 40 + 0.16 - 6

= 40.16 - 6

= 34.16 ⇒ LHS ≠ RHS

3. + and ÷ → 10 × 4 ÷ 5 - 30 + 6 = 31

= 10 × 4 ÷ 5 - 30 + 6

= 10 × 0.8 - 30 + 6

= 8 - 30 + 6

= 14 - 30

= -16 ⇒ LHS ≠ RHS

4. - and + → 10 × 4 - 5 + 30 ÷ 6 = 31

10 × 4 - 5 + 30 ÷ 6

= 10 × 4 - 5 + 5

= 40 - 5 + 5

= 45 - 5

= 40 ⇒ LHS ≠ RHS

Hence, the correct answer is ‘× and -’.

The logic/rule followed here is,

(2nd Number - 1st Number) × 10

3*1 = 20 → (3 - 1) × 10 = 20

6*1 = 50 → (6 - 1) × 10 = 50

2*6 = -40 → (2 - 6) × 10 = -40

Similarly,

5*8 → (5 - 8) × 10 = -30

Hence, the correct answer is ‘-30’.

Given:

XYXYXYXY, XYXYXYXY, XYXYXYXY, XYXYXYXY, XYXYXYXY, ________.

The logic followed here in the given series is, ‘XYXYXYXY’ is repeated throughout the series.

So, the next term will be:

XYXYXYXY, XYXYXYXY, XYXYXYXY, XYXYXYXY, XYXYXYXY, XYXYXYXY

Hence, the correct answer is ‘XYXYXYXY’.

As per the given information,

So, he is in the west and 10 km (i.e., 8 + 2 km) away from the starting point.

Hence, the correct answer is '10 km, West'.

The Venn Diagram is as follows:

Conclusion I: No lighters are fire → Doesn't Follows (As, all matchboxes are lighters and Some fire are matchboxes)

Conclusion II: All fire are lighters →Doesn't Follows  (it is possible but not definite)

Hence, the correct answer is "Neither conclusion I nor conclusion II follows".

The shaded part represents cricketers who are also cartoonists

Hence, the correct answer is ‘HG’.

The pattern/logic followed here is:​

Hence, the correct answer is ‘UOZ’.

The pattern/logic followed here is:

 

Hence, the correct answer is ‘114’.

The logic followed here is:

1. (4, 8, 16) → (4, 4 × 2, 4 × 4)

2. (5, 10, 20) → (5, 5 × 2, 5 × 4)

3. (6, 12, 24) → (6, 6 × 2, 6 × 4)

4. (7, 14, 21) → (7, 7 × 2, 7 × 3)

Hence, the correct answer is "(7, 14, 21)".

The mirror image of an object when the mirror is placed at the bottom of the object is shown below.

Hence, the correct answer is "Option 2".

Additional Information When the mirror is placed at the bottom of the object, its mirror image is the same as the water image of that object.

The pairs of opposite faces are as follows:

In option 4, one of the pairs of opposite faces lies adjacent to each other.

Hence, the correct answer is "Option 4".

By checking all the options:

1. 13, 78, 30, 87 → K, Y, E, Z

2. 22, 41, 65, 11 → B, A, N, G

3. 34, 68, 13, 86 → I, N, K, Z

4. 41, 85, 22, 58 → A, Q, B, T

Hence, the correct answer is "22, 41, 65, 11".

Converting fractions to decimals,

⇒ 3/4 = 0.75

⇒ 5/12 = 0.4167

⇒ 13/16 = 0.8125

⇒ 16/29 = 0.5517

⇒ 3/8 = 0.375

∵ 0.375 < 0.4167 < 0.5517 < 0.75 < 0.8125

∴ 3/8 < 5/12 < 16/29 < 3/4 < 13/16

√3/(3 + √3)

Multiplying and dividing by (3 – √3),

= [√3/(3 + √ 3)] × [(3 – √3)/(3 – √3)]

= [√3(3 – √3)]/[(3)² – (√3)²          [∵ (a + b)(a – b) = a² – b²]

= (3√3 – 3)/(9 – 3)

= 3(√3 – 1)/6

= (1.732 – 1)/2

= 0.732/2

= 0.36

Let x = √a

Hence, we can write,

⇒ 9^x + 40^x = 41^x

Putting x = 1,

⇒ 9¹ + 40¹ = 9 + 40 = 49 ≠ 41¹

Putting x = 2,

⇒ 9² + 40² = 81 + 1600 = 1681 = 41²

⇒ x = √a = 2

⇒ a= 2²

∴ a = 4

Let the price of a single bag be Rs. ‘x’

Cost of 5 bottles = Cost of 2 bags = 2x

Now,

Cost of 15 bottles + Cost of 4 bags = 2000

⇒ 3(2x) + 4x = 2000

⇒ 6x + 4x = 2000

⇒ 10x = 2000

⇒ x = 2000/10 = Rs. 200

∴ Price of one bag = Rs. 200

According to the basic proportionality theorem, if a line is drawn parallel to one side of a triangle so as to intersect the other two sides, then it divides the other two sides in the same ratio

∴ If any two sides of a triangle are divided by the line in the same ratio, then the line must be parallel to the third side of the triangle

Detailed solution:- 

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Let a be the side of the equilateral triangle ABC.

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∴ AB = BC = AC = a 

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and since Δ ABC is an equilateral triangle ∠A=∠B=∠C=60 

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Given, the radius of the circumcircle, r = 14 cm 

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Since the triangle ABC is equilateral, its perpendicular bisector i.e. the median meet at the same point O which is the center of the in-circle

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 ∴ AD is the perpendicular bisector of BC.

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⇒ BD = DC = 1/2BC

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and OB is the angle bisector of.∠B 

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∴ ∠ABO =∠ OBD = 60/2 = 30 

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In right angle Δ ODB  

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⇒ sin30 = OD/OB  

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⇒ OD/r  = 1/2  

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⇒ OD = r/2 = 14/2 =7  

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∴ The required answer is 7.  

Shortcut Trick

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If the radius of a circumscribed circle is R units, then the radius of the inscribed circle is equal to R/2 units

∴ Radius of inscribed circle = 14/2 = 7 cm

35% of (x + y) = 40% of (x – y)

⇒ 7/20 × (x + y) = 2/5 × (x – y)

⇒ 7x + 7y = 8x – 8y

⇒ 8x – 7x = 7y + 8y

⇒ x = 15y

⇒ x = (15 × 100)% of y

∴ x is 1500% of y

Let the two numbers be ‘6x’ and ‘11x’ respectively

Difference = 11x – 6x = 65

⇒ 5x = 65

⇒ x = 65/5 = 13

∴ Smaller number = 6x = 6(13) = 78

The quantity of milk in the mixture = 19% of the total quantity of the mixture

⇒ 437 = 19/100 × (Total quantity of the mixture)

∴ Total quantity of the mixture = 437 × 100/19 = 2300 millilitres

Let the initial population be ‘x’

Population after first year = (100 + 44)% of x = 1.44x

Population after second year = (100 + 75)% of 1.44x = 1.75 × 1.44x = 2.52x

⇒ Total increase in population = 2.52x – x = 1.52x

⇒ Rate of increase in population = 1.52x/x × 100 = 152%

∴ Average rate of increase in population = 152/2 = 76%

When the interest is compounded annually,

Amount after n years = Principal × (1 + Rate/100)ⁿ

Given, Principal = Rs. 2000

Amount after 2 years = Rs. 3645

⇒ 3645 = 2000 × (1 + Rate/100)²

⇒ (1 + Rate/100)² = 3645/2000 = 729/400

Now,

Amount after 4 years = 2000 × (1 + Rate/100)⁴ = 2000 × (1 + Rate/100)² × (1 + Rate/100)²

∴ Amount after 4 years = 3645 × 729/400 = Rs. 6643.0125

Let the initial selling price of the table be Rs. ‘x’

Profit earned = 25% of CP

⇒ CP + 0.25CP = x

⇒ CP = x/1.25 =0.8x

Now, if he reduces selling price by Rs. 240, he suffers a loss of 5%

⇒ Selling price = Cost price – Loss

⇒ x – 240 = 0.8x – 5% of 0.8x

⇒ x – 240 = 0.8x – 0.04x

⇒ x – 240 = 0.76x

⇒ x – 0.76x = 240

⇒ 0.24x = 240

⇒ x = 240/0.24 = Rs. 1000

∴ Initial selling price of table is Rs. 1000

Let the marked price be Rs. ‘x’

Price after first discount = (100 – 25)% of x = 75% of x = (3/4)x

Price after second discount = (100 – 30)% of (3/4)x = 70% of (3/4)x = 7/10 × (3/4)x = (21/40)x

⇒ Selling price = (21/40)x

∴ Ratio of marked price to selling price = x ∶ (21/40)x = 40 ∶ 21

Let the number be ‘x’

Hence, we can write,

⇒ x² – 49 = 576

⇒ x² = 576 + 49

⇒ x² = 625

⇒ x = √625 = 25

∴ The number is 25

Work done by P, Q, and R in 1 min. = 1/40

Work done by P, Q in 1 min. = 1/60

⇒ Work done by R in 1 min. = 1/40 – 1/60 = 1/120

∴ R will alone make the table in 120 minutes

Calculation:

Let the speed of each train be ‘x’ m/s

∵ The trains are running in opposite directions, their relative speed is the sum of their individual speeds

⇒ Relative speed = 2x m/s

Now,

Time taken to cross = Sum of lengths of train/Relative speed

 ⇒ 27 = (486 + 486)/2x

⇒ 2x = 972/27

⇒ 2x = 36

⇒ x = 18 m/s

Thus, Speed of each train = x

⇒ 18 m/s

⇒ 18 × 18/5 km/h

⇒ 64.8 km/h

∴ The correct answer is option (3).

No. of admissions in 2014 = 7000

Average fees collected per student = Rs. 20000

∴ Total fees collected in 2014 = 7000 × 20000 = Rs. 1400 Lakhs

No. of admissions in 2016 = 9500

No. of admissions in 2015 = 4000

Difference = 9500 – 4000 = 5500

Required percentage = 5500/4000 × 100 = 137.5%

∴ Admissions in 2016 is greater than that in 2015 by 137.5%

No. of admissions in 2016 = 9500

No. of admissions in 2012 = 2500

∴ Required difference = 9500 – 2500 = 7000

∵ The number of admissions increase from year 2012 to year 2013 and decrease in year 2014 & 2015

∴ Admissions were greater in year 2013 than the previous year 2012

Perimeter of rectangle = 2(Length + Breadth)

⇒ 44 = 2(Length + 10)

⇒ 22 = Length + 10

⇒ Length of rectangle = 22 – 10 = 12 cm

∴ Area of rectangle = Length × Breadth = 12 × 10 = 120 cm²

For a regular polygon of ‘n’ sides, measure of exterior angle = 360°/n

∴ Measure of exterior angle of regular polygon of 9 sides = 360°/9 = 40°

Radius of cylinder = r = 21/2 = 10.5 cm

Height of cylinder = h = 10 cm

Now, Volume of cylinder = πr²h

∴ Volume of given cylinder = 22/7 × 10.5 × 10.5 × 10 = 3465 cm³

Given, in ∆ABC, ∠B = 90° and ∠C = 60°

Sum of angles of a triangle = 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + 90° + 60° = 180°

⇒ ∠A = 180° – 150° = 30°

∴ (cot A – 1/2) = cot 30° – 1/2 = √3 – 1/2 = (2√3 – 1)/2

In the given ∆ABC,

cosec A = hypotenuse/opposite = AC/BC = 13/12

⇒ sin A = 1/cosec A = 12/13

Now, cos A = √(1 – sin² A) = √(1 – 144/169) = √(25/169) = 5/13

But, cos A = adjacent/hypotenuse = AB/AC

Given, AB = 10 cm

⇒ 5/13 = 10/AC

⇒ AC = 10 × 13/5

∴ AC = 26 cm

The correct answer is Self-sufficient village system.

 Key Points

• The Modern Economy:-
• It has a few salient features and among them the village self- sufficiency and isolation, which is characterized as primitive economies, have disappeared.
• In the Modern Economy, there is an extensive use of plant and machinery.
• It transforms the raw materials into goods for sale or consumption.
• It improved process of trades and sales.

The correct answer is Sixth.

Key Points

• National Bank for Agricultural and Rural Development (NABARD):-
• It is an apex development bank in India, having headquarters based in Mumbai.
• It was established on the recommendation of the B. Sivaraman Committee on 12 July 1982 under the Sixth Five-year plan by Act 61, 1981 of Parliament act.
• Its main focus is to uplift rural India by increasing the development of agricultural and rural non-farming sectors.
• During the Sixth Five Year Planning NABARD was established.

Additional Information

• Indian Five-Year Plan :
• ​A plan spelled out how the resources of a nation should be put to use.
• It had some general goals as well as specific objectives which are to be achieved within a specified period of time.
• In India, plans were of five years duration and were called five-year plans (we borrowed this from the former Soviet Union, the pioneer in national planning).
• Our plan documents not only specify the objectives to be attained in the five years of a plan but also what is to be achieved over a period of twenty years.
• This long-term plan was called a ‘perspective plan’.
• The five-year plans were supposed to provide the basis for the perspective plan.

The correct answer is Yajurveda

Key Points

• We know that the Vedas are categorized into four parts: the Rigveda, the Yajurveda, the Samaveda, and the Atharvaveda.
• These four parts are the main Vedas like the root of a tree. From the root, the tree stands and has its respective branches which are the sub-Vedas.
• The Sub-Vedas also known as the Up-Vedas are the texts on the auxiliary themes of the main four Vedas
• There are five Up-Vedas which are related to Economics, Military Science, Music and Dance, and Medical science
• Ayurveda, Dhanurveda, Gandharva Veda, Shilpa Veda, and Artha Veda are the name of the five sub-Vedas.
• Yajurveda is not counted under sub-Vedas.

The correct answer is option 4 i.e Aurangzeb.

Key Points

• The Moti Masjid:-
• It is made out of white marble, located inside the Red Fort close to Diwan-e-Khas in Delhi, India.
• It was built by the Mughal Emperor Aurangzeb from 1659-1660 for his second wife Nawab Bai.
• Aurangzeb (1618-1707):-​
• The Mughal emperor Aurangzeb was known as Abul Muzaffar Muhi-ud-Din Muhammad Aurangzeb, commonly known as Aurangzeb or by his regional title Alamgir.
• Mohi-ud-din Mohammed Aurangzeb was born on Oct. 24, 1618, at Dohad and was the third son of Emperor Shah Jahan.
• He was the sixth Mughal emperor of India and the last of the "Great Mughals."
• He extended the Mughals Empire to its farthest boundaries, but his reign was harsh and marked by revolts.
• He ruled over most of the Indian subcontinent during some parts of his reign, which lasted for 49 years from 1658 until he died in 1707.
• Mughal emperor Aurangzeb died in 1707 after a 49-year reign without officially declaring a crown prince.

NOTE:  The Moti Masjid of Agra was built by Shah Jahan. 

Additional Information

• Akbar (1556-1605):-
• Emperor Akbar founded the city by the name of “ILLAHABAS” which later became ALLAHABAD.
• He introduced the new religion as Din Ilahi.
• He introduced the Mansabdari system.
• Akbar defeated Hemu in the second battle of Panipat.
• He built Ibadat Khana in Fatehpur Sikri.
• He followed the policy of Sulh-i-kul.
• Jahangir (1605-1627):
• Jahangir was the eldest son of Akbar.
• Jahangir executed the fifth Sikh Guru, Arjun Dev.
• Under Jahangir, Mughal paintings reached their zenith.
• Shah Jahan (1627-1658):-
• He was the son of Jahangir.
• A French traveler, Tavernier visited during his reign
• Diwan-i-Khas and Diwan-i-Am, a hall for private and public audiences are built by Shahjahan.

The correct answer is Position of sun, earth and moon in the straight line.

Key Points

• Syzygy:-
• It refers to the nearly straight-line configuration of three celestial bodies (such as the sun, moon, and earth during a solar or lunar eclipse) in a gravitational system.
• All eclipses are syzygy but, not all syzygy are eclipses.
• For example, the full moon and new moon are syzygy involving the lining up of the Sun, Earth and Moon so, lunar and solar eclipses are syzygy.

The correct answer is Coromandel Coast.

Key Points

• The Coromandel Coast:-
• It is not a part of the Western coastline; it is located in the south-eastern coastal region of the Indian subcontinent.
• It runs from Andhra Pradesh to Tamil Nadu bounded by the Utkal Plains to the north, the Bay of Bengal to the east, the Kaveri delta to the south and the Eastern Ghats to the west.

Additional Information

• Kathiawar Coast:-
• The Kathiawar Peninsula, also called Saurashtra Peninsula, peninsula in southwestern Gujarat state, west-central India.
• It is bounded by the Little Rann (marsh) of Kachchh (Kutch) to the north, the Gulf of Khambhat to the east, the Arabian Sea to the southwest, and the Gulf of Kachchh to the northwest.
• Konkan Coast:-
• ​Konkan extends throughout the western coasts of Maharashtra, Goa, and Karnataka.
• It is bounded by the Western Ghats mountain range (also known as Sahyadri) in the east, the Arabian Sea in the west, the Daman Ganga River in the north, and the River Aghanashini in the south.
• Malabar Coast:-
• Kayaks are the backwater found in Kerala and are a unique feature of the Malabar Coast.
• The Kerala backwaters are a series of pools and lakes resting equally on the Malabar Coast (the Arabian Sea coast).

The correct answer is Kathakali - Kerala.

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Key Points

• Kathakali:-
• It is one of the major forms of classical Indian Dances that originated in Kerala.
• The term Kathakali is derived from the word “Katha” which means story or a conversation and “Kali” which means performance and art in Malayalam.
• It is a blend of dance, music, and acting and dramatizes stories, which are mostly adapted from the Indian epics.
• It is distinguished by the elaborately colorful make-up, costumes, and face masks that the traditionally male actor-dancers wear.
• The dancers enact the roles (kings, gods, demons etc.) of the stories with particular make-up and costume, the vocalists narrate the legend and the percussionists play the musical instruments.

Additional Information

The correct answer Ravi.

Key Points

• The Indus water treaty (IWT) is a water-distribution treaty between India and Pakistan which was signed on September 19, 1960.
• The treaty was signed by Prime Minister Jawaharlal Nehru and Pakistan’s President Ayub Khan.
• The treaty deals with the river Indus and its five tributaries.
• These are divided into two categories
• Eastern Rivers:

1. Sutlej
2. Beas
3. Ravi

• Western Rivers:

1. Jhelum
2. Chenab
3. Indus

• According to the treaty, all the eastern rivers are not governed by Pakistan, which means all the western rivers are under the government of Pakistan.

The correct answer is The tiger who crossed the line.

Key Points

• “The Tiger Who Crossed the Line” is a documentary which was awarded the best Environment film at the 64th National film awards.
• This documentary was created by Krishnendu Bose who has been conferred the highest award for documentary filmmaking in the field of Environment and Wildlife in India with the CMS-UNEP Prithvi Ratna Award.

The correct answer is 1,643 km.

Key Points

• There are namely four northeastern states with whom India shares borders with Myanmar which are Arunachal Pradesh, Nagaland, Manipur and Mizoram.
• India shares a 1643 km long border with Myanmar in four north-eastern states namely, Arunachal (520 km), Nagaland (215 km), Manipur (398 km) and Mizoram (510 km) with Myanmar's Sagaing Region and Chin State.

The Correct answer is All I, II and III.

Explanation:

Thermoplastic:

• Such plastic which gets deformed easily on heating and can be bent easily is known as thermoplastic. 
• It can be cooled and heated several times without any change in its chemical or mechanical properties.
• These are used for manufacturing toys, combs, and various types of containers.
• Examples of thermoplastics- Polythene and PVC.

 Thermosetting plastic:

• Such plastic which when moulded once, can not be softened by heating is known as thermosetting plastic.
• They have primary bonds between molecular chains and are held together by strong cross-links.
• Examples of thermosetting plastic- are Bakelite and Melamine.
• Bakelite is a poor conductor of heat and electricity. It is used for making electrical switches, handles of various utensils, etc.
• Melamine is a versatile material. It resists fire and can tolerate heating better than other plastics. It is used for making floor tiles, kitchenware and fabrics which resist fire.

The Correct answer is Carbon-dioxide.

Explanation:

• Carbon dioxide is the best fire extinguisher.
• It displaces oxygen from the air or takes away the oxygen element from the fire triangle which helps in extinguishing the fire.
• It is a non-combustible gas.
• It is heavier than air.
• It helps to bring down the heat or ignition temperature.

The correct answer is Part XX.

Key Points

• Amending the constitution of India is the process of making amendments to the fundamental law or supreme law of the country.
• The amendment process in the constitution is set out in Part XX (Article 368) of the Indian Constitution.
• This procedure preserves the sanctity of India's Constitution and holds a check on the Indian Parliament's arbitrary power.
• Article 368 does not set down the legislative process to be followed at various points of the amendment.
• Article 368 of the Indian constitution specifically deals with the amendment of the constitution

Additional Information

The correct answer is The Parliament

Key Points

• ​The legislative sections are divided into three lists: The Union List, The State List and the Concurrent List.
• It is under the power of the parliament to make laws on any subject given in these lists especially laws related to the Union Territories.

Important Points 

• The Union Territories are dealt with in Articles 239 to 241 in Part  VIII of the Constitution.
• The President administers every Union Territory through an administrator appointed by him.
• Legislative Assembly and a council of ministers headed by a chief minister are present in the Union Territories of Puducherry and Delhi.
• There are a total of 8 Union Territories in India
• Andaman and Nicobar Islands
• Chandigarh
• Dadra and Nagar Haveli and Daman & Diu
• NCT of Delhi
• Jammu & Kashmir
• Ladakh
• Lakshadweep
• Puducherry

The correct answer is Option 1 i.e. Proteins.

Pepsin:

• Pepsin is the digestive enzyme that breaks down proteins.
• The Gastric Glands secrete the enzyme Pepsin.
• Gastric glands are found in the stomach.
• They secrete enzymes like Pepsin, Rennin which act upon the Proteins.
• Glands in the mucous-membrane which line the stomach make and store an inactive protein known as pepsinogen.
• When pepsinogen is released into the stomach and mixed with gastric juice, it is converted into pepsin.
• Pepsin partially degrades proteins into smaller units called peptides.

The correct answer is X from father and X from mother.

• The sex of the child is determined by the father's chromosomes.

Key Points 

• The sex-determining mechanism in humans is the XY type. Humans contain 23 pairs of chromosomes.
• 22 pairs of chromosomes are the same in both males and females, which are called autosomes.
• The 23rd pair is different in both sexes and is known as the sex chromosome.
• Females have a pair of X chromosomes and males have X and Y chromosomes as sex chromosomes.

Important Points 

• In humans, the females have XX sex chromosomes while the males have XY chromosomes.
• When the X chromosome of a female unites with the X chromosome of a male, a girl will be born and when the X chromosome of females unites with the Y chromosome of a male, a boy will be born.
• Thus, the sex chromosome of males (father) determines the sex of the child.​

The correct answer is USD 125 million.

Key Points

• National Biopharma Mission’ named ‘i3’:-
• Under the National Biopharma Mission, the government launched a program named Innovate in India (i3).
• It aims to create an enabling ecosystem, in order to promote entrepreneurship and indigenous manufacturing in the sector.
• In the global biopharmaceutical market, currently, India has only a 2.8% share, the program, however, aims at elevating this to 5%.
• i3 is a flagship program of the Government of India in collaboration with World Bank.
• Biotechnology Industry Research Assistance Council (BIRAC) will implement the mission.
• Innovate in India (i3) program has been launched under this mission to create an enabling ecosystem to promote indigenous manufacturing and entrepreneurship in this sector.
• An amount of USD 250 million has been reserved for this mission and USD 125 million has been taken as loan from the World Bank.
• Dr. Harsh Vardhan launched the ‘National Biopharma mission’ named ‘i3’ in June 2017.
• This address the country’s major concerns around barriers to affordable healthcare.

The correct answer Spacex.

Key Points

• ZUMA:-
• USA-280 was given the code name “ZUMA”
• This was a US government satellite that was launched by Spacex on 8^th January 2018
• The purpose of the ZUMA project is still unknown.

Additional Information

• Sierra Nevada Corporation:-
• ​SNC is a trusted leader in innovative, advanced technology solutions and open architecture integrations in aerospace and national security.
• It is best known for its unique mission applications, SNC creates customized solutions for the world’s most pressing technology challenges in the fields of aviation, national security space, electronic warfare, command and control, mission systems, and inline cybersecurity.
• XCOR Aerospace:-
• XCOR builds rocket-powered spacecraft and the engines that drive them.
• They focused on the research, development, and production of safe, reliable, reusable launch vehicles (RLVs), rocket engines, and rocket propulsion systems.
• Boeing:-
• ​It is the world’s largest aerospace company and leading provider of commercial airplanes, defense, space and security systems, and global services.

The correct answer is 2011-12.

Key Points

• The All India Index of Industrial Production:-
• It is an indicator that measures the short-term changes in the volume of production of a basket of industrial products during a given period with respect to that in a chosen based period.
• IIP is a composite indicator that measures the growth rate of industry groups classified under:
• Broad sectors, namely, Mining, Manufacturing, and Electricity.
• Use-based sectors, namely Basic Goods, Capital Goods, and Intermediate Goods.
• On May 25^th, 2017 the base year of IIP was revised to 2011-2012 series which will lead to an upward revision in GDP.
• Significance of IIP :
• IIP is the only measure of the physical volume of production.
• It is used by government agencies including the Ministry of Finance, the Reserve Bank of India, etc, for policy-making purposes.
• IIP remains extremely relevant for the calculation of the quarterly and advance GDP estimates.

The correct answer is Market.

Key Points

• The Agricultural Produce Market Committee is a marketing board which was established by a state government in India.
• AMPC are responsible for ensuring transparency in the pricing system and transactions taking place in the market area
• They provide market-led services for farmers
• The proper payment of the agricultural produce sold by farmers on the same day.

CONCEPT:

• Resistance: The property of any conductor that opposes the flow of electric current through it and depends on the shape and size of the materials, temperature, and nature of the materials is called resistance.
• It is denoted by R and the SI unit is the ohm (Ω).

The resistance is given by:

R = ρL/A

where ρ is resistivity, L is the length and A is the area of the cross-section. 

CALCULATION:

Given that:

Length (L) = 20 m

The cross-sectional area (A) = 1 cm² = 10^-4 m²

The Resistivity (ρ) = 200 Ω m

We know that,

Resistance (R) = Resistivity (ρ) × (Length(L)/Cross sectional area (A))

Now,

R = [200 × (20/0.0001)] = 4 × 10⁷ Ω  = 4 × 10⁷ × 10^-6 mega Ω 

R = 40 mega Ω. So option 1 is correct.

The Correct answer is Non-uniform.

Explanation:

• Uniform motion: when an object covers an equal distance in an equal time interval of time said to be in uniform motion. Here acceleration is zero.

• Uniform motion is a motion in which a body moves in a specific direction at a constant speed.

• When a body moves in a perfect circle at a constant speed then it is called Uniform circular motion.

• Non-Uniform motion: when an object covers unequal distances in the equal time interval of time said to be in non-uniform motion. Here acceleration is non-zero.

The correct answer is Pressure is high to the region where the pressure is low.

Key Points

• The movement of air is caused by temperature and pressure differences.
• Air moves from high-pressure (low temperature) to low-pressure (high temperature) areas
• These differences in temperature and pressure are experienced as wind.
• When the temperature of an area is high due to the heat of the sun, the vertical temperature difference causes an uplift of air as warm air is lighter than cold air. Now as the warm air has lifted up an empty space gets created which in term gets filled up by cold air which rushes in.