SSC CHSL Previous Paper 4 (Held On: 5 March 2018 Shift 2) (Previous Year Paper)

The correct answer is Arrogance.

Key Points:-

• 'Arrogance' is a word derived from the Latin word 'arrogans' meaning insolent, overbearing, presumptuous.
• Let us look at the correct spelling and meaning of the given word:-
• Arrogance*(noun)* - offensive display of superiority or self-importance; overbearing pride.
• For Example - When the guardsman rose, the arrogance was gone from his face, replaced by anger.

Therefore, the correct spelling of the given word is 'Arrogance'.

Additional Information

• Synonyms of arrogance - assumptive, bumptious, cavalier, chesty.
• Antonyms of arrogance -  humble, lowly, modest, meek.

Here the correct answer is ABC.

Key Points:-

• The opening sentence of the paragraph can only be A.
• It is so because the sentence is trying to convey the idea that cars were owned only by a few people and others were untouched by it.
• Firstly, The given starting sentence (i.e. Cars were owned by) talks about ownership which is only depicted by the sentence A.
• Secondly, it is obvious that C will be preceded by B.
• It is so because B cannot be the closing sentence as it is incomplete.
• Therefore, by elimination method, we find that the only option that starts with A is Option 1.

Thus, the correct answer is Option 1.

Here the correct answer is No Improvement.

Key Points:-

• The sentence is talking about something that the person had said 40 years ago i.e. a long time ago.
• Past Perfect Tense is used to express an action that has been completed(a long time ago) in the past.
• Structure - Subject + had + V₃ + Object.
• For Example - He had left for U.S.A.
• Therefore, 'had said' is correct and the sentence requires no further improvement.

Thus, the correct sentence is I wondered what one would have thought some 40 years ago if you had said you could heat liquid using a plastic container.

Here the correct answer is Is now heading.

Key Points:-

• In the above given sentence, 'is now heading' will be used because the sentence is in present continuous tense.
• According to the sentence, the development in India is currently in progress.
• Present Continuous Tense is used to express the action that is currently in progress.
• Structure of Present Continuous tense:-
• Singular - Sub + is + V_ing + Obj.
• For Example - He is playing cricket.
• Plural - Sub + are + V_ing + Obj.
• For Example - They are playing cricket.
• 'Has now heading' will not be used because present perfect tense is used to express those actions that have finished recently.
• For Example - She has bought a house.
• In the above given sentence, the action is in progress and therefore present continuous tense will be used.

Therefore, the correct sentence is 'At the micro level, the dialectical process of development in India is now heading towards another direction'.

Here the correct answer is Expatriate.

Key Points:-

• Let us look at the meaning of the correct answer:-
• Expatriate*(adjective) -* A person who lives outside his native country.
• For Example -The writer, an expatriate living in Singapore, has studied and worked in the US.
• Synonyms - Emigrant, refugee, exiled, non-native.
• Antonyms - Resident, native, indigenous.
• Let us look at the meaning of the other options:-

Therefore, the correct one word for the given descriptive sentence is Expatriate.

Here the correct answer is Junta.

Key Points:-

• Let us look at the meaning of the correct answer:-
• Junta*(noun)* - a group, especially of military officers, who rule a country by force.
• For Example - Armed with the newest weapons, the junta faced little to no resistance as it drove out the government.
• Let us look at the meaning of the other options:-

Therefore, the correct one word for the given descriptive sentence is Junta.

Here the correct answer is Keep quiet about something.

Key Points:-

• Let us look at the meaning of the given idiom/phrase:-
• Zip your lip - to say nothing or stop talking:
• For Example - He's the sort of man who rarely bothers to zip his lip.

Therefore, the correct meaning of the given idiom/phrase is  Keep quiet about something.

Here the correct answer is An issue over which there is continuing disagreement.

Key Points:-

• Let us look at the meaning of the given idiom/phrase:-
• Bone of contention -something that two or more people argue about strongly over a long period of time.
• For Example - A serious bone of contention between the landowners and the developers was the compensation price for the land.

Therefore, the correct meaning of the given idiom/phrase is  An issue over which there is continuing disagreement.

Here the correct answer is If.

Key Points:-

• In the above given blank, 'if' will be used.
• It is so because it is a conditional sentence.
• Conditional sentences are statements discussing known factors or hypothetical situations and their consequences. Complete conditional sentences contain a conditional clause (often referred to as the if-clause) and the consequence.
• Consider the following sentences:-
• If a certain condition is true, then a particular result happens.
• I would travel around the world if I won the lottery.
• 'Nor' cannot be used because it is mostly used with neither and when used alone it should be preceded by a negative sentence which is not the case in the above given paragraph.
• 'So' and 'thus' are not apt for the given blank.

Therefore, the correct answer for the given blank is If.

Here the correct answer is Partly.

Key Points:-

• In the above given blank, 'partly' will be used.
• It is so because the valve when opened can either be fully opened (which means no need of a blank between be and opened) or can be partially opened.
• 'Some, none and everything' are irrelevant for the given context.

Therefore, the correct answer for the blank is Partly.

Here the correct answer is With.

Key Points:-  

• 'With' is a preposition which is used for different purposes.
• With meaning 'having' - We use with to mean ‘having’ or ‘possessing’.
• For Examples:-
• It’s the house with the really big gates.
• She woke with terrible toothache.
• Here in the sentence the burner flame would spread having a loud noise.
• Within - It is used to denote time or position which is inside the range or limits of a particular period of time or distance.
• For Example - My house is within a mile of the station.
• At - It is used to denote a particular position or a particular place(or time)
• For Example - I am at my house.
• During - It is used to denote a period of time in which something happens.
• For Example - I was in Delhi during the winter.

Therefore, the correct answer for the blank is With.

Additional Information

 Different uses of With:-

With meaning ‘in the same place as’

With means ‘in the same place as someone or something’ or ‘accompanying’:

She arrived with her boyfriend.|

I don’t like tea with milk.

There was a free phone with the car.

With: reactions and feelings

With often follows adjectives which refer to reactions and feelings:

Are you happy with your music lessons?

The teacher got angry with them because they were behaving badly.

I’m delighted with this new jacket.

With meaning ‘using’

We use with to refer to what we use to do something:

They opened the package with a knife.

I’ll tie it with some tape to keep it closed.

He cleaned the table with a cloth he found in the kitchen.

With meaning ‘having’

We use with to mean ‘having’ or ‘possessing’:

It’s the house with the really big gates.

She woke with terrible toothache.

The Commonwealth Institute used to be a building with a very unusual roof in Kensington.

With meaning ‘because of’

Spoken English:

We use with to mean ‘because of’ or ‘as a result of’. This is especially common in speaking:

With all this work, I’d better stay in tonight.

I couldn’t sleep with the noise of the traffic.

Here the correct answer is Slowly.

Key Points:-

• In the above given blank, the adverb 'slowly' will be used.
• It is so because an adverb is a word which qualifies a verb , an adjective, an adverb itself or even a whole sentence.
• For Example - He walked slowly along the street.
• In the given sentence of the passage, 'slowly' qualifies the verb 'appear'.
• Thus, 'slowly' will be used.
• There is no comparison made in the sentence.
• Therefore, slow, slower and slowest rules out.

Thus, the correct answer for the blank is Slowly.

Here the correct answer is Under.

Key Points:-

• In the above given blank, the preposition 'under' will be used because in the passage it is suggested that there is pressure on fuel in the tank.
• Under is a preposition which is used to denote the position of something which is below something else and is often covered by it.
• For Example - I perform poorly under pressure, so I hate exams.
• 'Inside' is not apt for the given blank because the fuel cannot be inside the pressure.
• 'Into' cannot be used in the given blank because it denotes movement inside or middle of something.
• 'About' cannot be used in the given blank because it is used to indicate movement to a specific location, or, the subject of something written or spoken.
• Therefore, 'under' will be used in the blank.

Thus, the correct answer for the given blank is Under.

Here the correct answer is Aggression.

Key Points:-

• Let's look at the correct spelling and meaning of the marked option:-
• Aggression*(noun)* - feelings of anger or antipathy resulting in hostile or violent behaviour; readiness to attack or confront.
• For Example - His chin was jutting with aggression.
• Synonyms - hostility, belligerence, antagonism, audacity.
• Antonyms - meekness, pacifism, friendliness.

 Therefore, the correct spelling of the given word is Aggression.

Here the correct answer is Sneha ordered Arjun to go away.

Key Points:-

• The reported speech has a sense of order and not question or inquiry.
• It is so because Sneha is ordering Arjun that he should leave.
• Therefore, asked and inquired cannot be used in the case of ordering.
• 'Say to' cannot be used because the reported verb should be in past tense and not in present tense.
• Therefore, by elimination method we can eliminate option 2,3 and 4.

Thus, the correct indirect speech of the given sentence is Sneha ordered Arjun to go away.

Here the correct answer is The house is being built by the workers.

Key Points:- 

• When a sentence in active voice is present in present continuous tense, then we change it according to the following structure:-
• Active - is/am/are + V_ing.
• Passive - is/am/are + being + V₃.
• For Example:-
• Active - They are playing cricket.
• Passive - Cricket is being played by them in that field.

Therefore, the correct passive voice of the sentence is The house is being built by the workers.

Important Points

• Whenever we change an active voice to passive voice, we need to follow the given rules:-
• Change subject into object.
• Change object into subject.
• Always use V₃ form of the verb in passive voice.
• Use 'by' before the new object.

Here the correct answer is PRQ.

Key Points:-

• The starting sentence will be 'urban health conditions'.
• The clue is very evident.
• Comparison is between urban and rural health and the comparison starts with urban and not rural.
• It is because of the fact that 'than rural' is present in one of the phrase/sentence.
• We cannot use the sentence starting with 'than' as the starting sentence because it is used for comparison and we need an adjective degree before 'than'.

Thus, the correct sequence will be PRQ.

Here the correct answer is Erase.

Key Points:-

• Let us look at the meaning of the given word:-
• Casting*(noun) -* to create or represent (something) by carving, or other shaping techniques.
• For Example - His features were chiseled, the firelight casting harsh shadows across the planes of his face.
• Let us look at the meaning of the correct answer:-
• Erase*(verb)* - rub out or remove (writing or marks).
• For Example - Graffiti had been erased from the wall.
• Let us look at the meaning of the other options:-

Therefore, the correct antonym for the given word is Erase.

Here the correct answer is Discord.

Key Points:-

• Let us look at the meaning of the given word:-
• Consensus*(noun)* - a general agreement.
• For Example - There is a growing consensus that the current regime has failed.
• Synonyms - Agreement, harmony, concord, concurrence.
• Antonyms - disagreement. conflict. discord, denial.
• Let us look at the meaning of the correct answer:-
• Discord*(noun)* - disagreement between people.
• For Example - A prosperous family who showed no signs of discord.
• Synonyms - strife, friction, disharmony, discordance.
• Antonyms - Concord, agreement, consensus, harmony.
• Let us look at the meaning of the other options:-

Therefore, the correct antonym for the given word is Discord.

Here the correct answer is Conclusion.

Key Points:-

• Let us look at the meaning of the given word:-
• Inference*(noun)* - a conclusion reached on the basis of evidence and reasoning.
• For Example - Researchers are entrusted with drawing inferences from the data.
• Synonyms - Conclusion, conjecture, deduction, reasoning.
• Antonyms - fact, proof, reality, truth.
• Let us look at the meaning of the correct answer:-
• Conclusion*(noun)* - the summing-up of an argument or text.
• For Example - Each research group came to a similar conclusion.
• Synonyms - deduction, inference, interpretation, reasoning.
• Antonyms - beginning, start.
• Let us look at the meaning of the other options:-

Therefore, the correct synonym for the given word is Conclusion.

Here the correct answer is Downsize.

Key Points:-

• Let us look at the meaning of the given word:-
• Curtail*(verb)* -   to make less by or as if by cutting off or away some part.
• For Example - Some school activities are being curtailed due to a lack of funds.
• Synonyms - abbreviate, abridge, cut back, dock.
• Antonyms - elongate, extend, lengthen, prolong​.
• Let us look at the meaning of the correct answer:-
• Downsize*(verb)* - to reduce in size.
• For Example - They have downsized the car's engine in the new model.
• Synonyms - abate, de-escalate, decrease, dent​
• Antonyms - aggrandize, amplify, augment, boost.
• Let us look at the meaning of the other options:-

Therefore, the correct synonym for the given word is Downsize.

Here the correct answer is Imposition.

Key Points:-

• In the above given sentence, 'imposition' will be used.
• The context is saying that the practice and imposing of old fashioned ways and slow actions have affected the governance and society.
• Thus, imposition is the apt word for the blank.
• Imposition*(noun)* - a situation in which someone expects another person to do something that they do not want to do or that is not convenient.
• For Examples:- 
• I hope the drive to the airport isn’t an imposition.
• Would it be too much of an imposition to ask you to pick my parents up from the airport?
• Caution*(noun)* - great care, because of possible danger
• For Example -Any advertisement that asks you to send money should be treated with caution.
• Translation*(noun)* -  to change something especially language.
• For Example -   He specializes in translation from Danish into English.
• Revolution*(noun)* - A great change or also means to rotate.
• For Example - The American Revolution was a great turning point in the history of America.

Therefore, the correct answer for the blank is Imposition.

Here the correct answer is One of the worst.

Key Points:-

• In the above given sentence, 'one of the worst' will be used.
• The context talks about categorizing cars as worst.
• It is so because the sentence is talking about a comparison of multiple cars with a car which cannot be expressed by 'the worst'.
• If 'the worst' had to be used, then 'cars' would be replaced by 'car'.
• 'Worst' needs to be preceded by 'the' and still it will qualify a car and not multiple cars.
• Thus, 'worst' is also wrong.
• 'Mostly worst' is erroneous and invalid grammatically.

Therefore, the correct answer for the blank is One of the worst.

Here the correct answer is 1.

Key Points:-

• In the above given sentence, the error is in Part 1.
• It is so because 'as to' is used to express 'in order to'.
• In this context, it is about giving a reason for the action or phenomenon so it should be 'due to'.
• Due to is a phrase meaning because of; owing to.
• For Example - He had to withdraw due to a knee injury.

Therefore, the correct sentence is Liquid water cannot exist on the surface of Mars due to low atmospheric pressure, which is less than 1% of Earth’s, except at the lowest elevations for short periods.

Here the correct answer is 3.

Key Points:-

• A preposition is always followed by a noun or a pronoun.
• That noun is called the object of the preposition.
• Here, 'to' cannot be used because considerably is an adverb meaning by a notably large amount or to a notably large extent; greatly.
• For Example - Things have improved considerably over the last few years.
• Note that a verb can't be the object of a preposition.

Therefore, the correct sentence is She has reduced her consumption considerably.

The logic used here →

Ampere is the S.I unit of Current.

Let's check each option,

1. Air: Kilogram

→ Kilogram is not the S.I unit of Air.

2. Work: Joule

→ Joule is the S.I unit of Work.

3. Pressure: Speed

→ Speed is not the S.I unit of Pressure.

4. Temperature: Metre

→ Metre is not the S.I unit of Temperature.

Hence, the correct answer is " Work: Joule ".

The pattern followed here is,

Second number = First number + 2

14 + 2 = 16

Similarly,

22 + 2 = 24

Hence, the correct answer is " 24 ".

The pattern followed here is,

Similarly,

Hence, the correct answer is " NSW ".

Car, cycle and truck are Vehicles,

Whereas Tyre is used to make vehicles move or run on roads.

Hence, the correct answer is " Tyre ".

The logic followed here,

→ (First Number + 1)² = Second Number.

Let's check each option as per the logic,

1) (10 + 1)² = (11)² = 121

2. (12 + 1)² = (13)² = 169

3. (14 + 1)² = (15)² = 225

4) (16 + 1)² = (17)² = 289 ≠ 279

Here, we can see that Only option 4 doesn't satisfy the logic.

Hence, the correct answer is " 16 - 279 ".

The pattern followed here is,

→ (+2) is done to each letter to get the next letter of the cluster.

Let's check each option,

1. RTVX

2. GIKM

3) DFIK

4. LNPR

Here, we can see that Only option 3 doesn't satisfy the logic.

Hence, the correct answer is " DFIK ".

As per the dictionary order,

4. Jingle

5. Jingling

6. Journey

7. Judge

8. Judgement

Hence, the correct answer is " 43125 ".

The pattern followed here is,

→ 2 and 3 is added alternately to get the next number of the series.

Hence, the correct answer is " 23 ".

The pattern followed here is,

→ (+1) is done to the first letter to get the first letter of the next cluster.

→ (+2) is done to the second letter to get the second letter of the next cluster.

Hence, the correct answer is " MU ".

1. Punit’s position from the left end is 33^rd,

2. and Ankit’s position from the right end is 25^th,

3. After interchanging their position, Punit’s position becomes 45^th from the left end.

4. Total number of boys in the row: 45 + 25 - 1 = 69

Hence, there are 69 boys in the row.

Let's check each option,

1. Heart: THREATENED, hence word can be formed.

2. Detain: ‘I’ is not present in THREATENED; hence word cannot be formed.

3. Treat: THREATENED, hence word can be formed.

4. Heated: THREATENED, hence word can be formed.

Here, we can see that only Detain can't be formed by the given word.

Hence, the correct answer is " Detain ".

Given codes are:-

Here, code fu is used for word tough.

Hence, the correct answer is "fu".

Given:-

2 - 12 + 10 x 5 ÷ 12 = ?

After replacing signs with their code in given equation,

New equation → 2 + 12 × 10 ÷ 5 - 12 = ?

Now, after applying BODMAS rule, we get:- 

2 + 12 × 2 - 12

2 + 24 - 12

26 - 12

14

Hence, the correct answer is "14".

Given:-

1 ÷ 14 × 30 + 20 - 10 = 12

Checking options one by one by interchanging signs:-

1) - and +

1 ÷ 14 × 30 - 20 + 10 = 12

Now, after applying BODMAS rule, we get:-

1 ÷ 14 × 30 - 20 + 10 = 12

0.071 × 30 - 20 + 10 = 12

2.13 - 20 + 10 = 12

12.13 - 20 = 12

7.87 ≠ 12

L.H.S ≠ R.H.S

2) ÷ and x

1 × 14 ÷ 30 + 20 - 10 = 12

Now, after applying BODMAS rule, we get:-

1 × 14 ÷ 30 + 20 - 10 = 12

1 × 0.466 + 20 - 10 = 12

0.466 + 20 - 10 = 12

20.466 - 10 = 12

10.466 ≠ 12

L.H.S ≠ R.H.S

3) × and -

1 ÷ 14 - 30 + 20 × 10 = 12

Now, after applying BODMAS rule, we get:-

1 ÷ 14 - 30 + 20 × 10 = 12

0.071 - 30 + 20 × 10 = 12

0.071 - 30 + 200 = 12

200.071 - 30 = 12

170.071 ≠ 12

L.H.S ≠ R.H.S

4) + and ÷ 

1 + 14 × 30 ÷ 20 - 10 = 12

Now, after applying BODMAS rule, we get:-

1 + 14 × 30 ÷ 20 - 10 = 12

1 + 14 × 1.5 - 10 = 12

1 + 21 - 10 = 12

22 - 10 = 12

12 = 12

L.H.S = R.H.S

Hence, the correct answer is "+ and ÷ ".

The logic followed here is:-

8 - 2 = 6; 6 ÷ 2 ⇒ 3

14 - 18 = - 4; -4 ÷ 2 ⇒ -2

18 - 2 = 16; 16 ÷ 2 ⇒ 8

Similarly,

14 - 10 = 4; 4 ÷ 2 ⇒ 2

Hence, the correct answer is "2".

The pattern followed here is:-

As can be seen clearly that the next term in the given list is XXXXXXx

Hence, the correct answer is "XXXXXXx".

Given:-

1) An auto-rickshaw picks a passenger and travels North 6.5 km.

2)  then it turns to its left and rides for another 1.5 km.

3) then it turns South and rides for 2.5 km.

4) then it turns to its left and rides 1.5 km.

5) the auto-rickshaw now with respect to its starting position.

As can be seen clearly that the auto-rickshaw is now 4 km away is in North direction with respect to its starting position.

Hence, the correct answer is "4 km North".

The least possible Venn diagram for the given statements is as shown below:-

Conclusion

I**.** No two-wheeler is a wheel → Follows (all wheels are bikes and no bike is a two-wheeler)

II**.** All wheels are two-wheelers → Doesn't follow (Direct relation not established between Wheels and two-wheelers)

Hence, the correct answer is "Only conclusion I follows".

The shaded part represents Americans who are either Floral designers or Sculptors

Rectangle represents Physicians: A, C and D

Circle represents floral designers: D, G, H, K, and J

Triangle represents sculptors: F, G, B, and K

Square represents Americans: C, E, F, G, D, H and I

Set of letters represents Americans who are either floral designers or Sculptors are letters in Square and common with Triangle or Circle, which is FGDH.

Hence, the correct answer is "FGDH".

The pattern followed here is:-

Hence, the correct answer is "PST".

The pattern followed here is:-

Hence, the correct answer is "20".

The logic followed here is:-

(First number + 1) = Second number; (Second number + 1) = Third number

In (2, 3, 4)

2 + 1 = 3; 3 + 1 = 4

In (4, 5, 6)

4 + 1 = 5; 5 + 1 = 6

In (6, 7, 8)

6 + 1 = 7; 7 + 1 = 8

In (4, 6, 8)

4 + 2 = 6; 6 + 2 = 8

Hence, the correct answer is "(4, 6, 8)".

The correct mirror image of the given figure when a mirror is placed on the line MN is as shown below:-

Hence, the correct answer is "Option 3".

The arrow drawn in the given figure indicate the opposite faces of cube:

In Option figure (1):-

No opposite faces of a cube are present together. So, cube can be formed.

In Option figure (2):-

No opposite faces of a cube are present together. So, cube can be formed.

In Option figure (3):-

No opposite faces of a cube are present together. So, cube can be formed.

In Option figure (4):-

Opposite faces of cube i.e. star and cross are present together. So, cube cannot be formed.

Hence, the correct answer is "option (4)".

The Pattern followed here is:-

A letter in the matrices is represented first by its row and then by its column.

Checking option one by one to identify the set for the word ‘BURN’.

1. 43 → I ; 69 → O ; 13 → F ;  56 → X (so, the letter formed is IOFX)

2. 30 → K ; 75 → Y ; 11 → F ;  97 → S (so, the letter formed is KYFS)

3) 10 → B ; 98 → U ; 79 → R ;  95 → N (so, the letter formed is BURN)

4. 44 → K ; 79 → R ; 11 → F ;  57 → W (so, the letter formed is IOFX)

Hence, the correct answer is "10, 98, 79, 95".

Given:- 

(3757 + 4357) and (3737 + 4337).

Concept used:-

We know that if n is odd then, (xⁿ + aⁿ) is always divisible by (x + a)

Calculation:-

So, (37⁵⁷ + 43⁵⁷) is divisible by (37 + 43) and (37³⁷ + 43³⁷) is also divisible by (37 + 43)

∴ (37 + 43) is the common factor.

Given:-

 $\frac{{\left( {61681 \times 61681 - 31681 \times 31681} \right)}}{{30000}}$ 

Formula used:-

(A + B)(A - B) = A² - B² 

Calculation:- 

⇒  $\frac{{\left( {61681 \times 61681 - 31681 \times 31681} \right)}}{{30000}}$

$\Rightarrow ;\frac{{\left( {{{61681}^2} - {{31681}^2}} \right)}}{{30000}}$

$\Rightarrow ;\frac{{\left( {61681 + 31681} \right) \times \left( {61681 - 31681} \right)}}{{30000}}$

⇒ (93362 × 30000) /30000

⇒ 93362

Given:- 

The linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions

Concept used :-

For 2 linear equation in 2 variable, ie a₁x + b₁x + c₁ = 0 and a₂x + b₂y + c₂ = 0 to have an infinite solution the ratio of the corresponding coefficient are equal

a₁/a₂ = b₁/b₂ = c₁/c₂   

Calculation:- 

For 2 linear equation in 2 variable, ie a1x + b1x + c1 = 0 and a2x + b2y + c2 = 0 to have an infinite solution the ratio of the corresponding coefficient are equal

⇒  a1/a2 = b1/b2 = c1/c2  

According to the question,

⇒ 6/2 = 12/g

∴ g = 4

The area (in square units) of the figure enclosed by the graphs of the lines is rectangle.

Length of the rectangle = 6 units ( x = 4 + 2)

And breadth of the rectangle = 5 units ( y = 3 + 2)

Hence, Area = 5 × 6 = 30 unit²

Detailed solution:-

As, perpendicular from the centre bisects the chord so as ON is perpendicular to AB

AN = AB/2 = 20/2 = 10 cm

And, ON = 2√11 cm

Now, triangle ONA is a right angled triangle, right angle at N

So, OA = √(ON² + AN²) = √{(10)² + (2√11)²} = √144 = 12 cm

∴ Radius of circle is 12 cm

As, the largest chord of a circle is its diameter

⇒ Diameter = 20.4 cm

∴ Radius = diameter/2 = 20.4/2 = 10.2 cm

Given:

Length increased by 40%

Breadth increased by 70%

Formula used:

Percentage = (value/total value) × 100

Calculation:

Let Length and breadth of rectangle be a and b respectively

Initial area = length × Breadth = ab

New length = a + 40% of a

⇒ 1.4a

New breadth = b + 70% of b

⇒ 1.7b

New area = (1.4a) × (1.7b)

⇒ 2.38ab

Required % = {(2.38ab – ab/ab} × 100

⇒ 138%

∴ The percentage increase in the area of rectangle is 138%

Given :- 

Rs. 6300 is divided among A, B, and C in the ratio of 1/2: 1 : 3/5.

Formula used:- 

The share  of B = (B × Total amount) / (A+B+C) 

Calculation:-

Ratio of share between A, B and C = (1/2) ∶ 1 ∶ (3/5) = 5 ∶ 10 ∶ 6

∴ B’s share = {10/(5 + 10 + 6)} × total amount = (10/21) × 6300 = 3000

Ratio of profit = (investment × time) of U ∶ (investment × time) of V

Ratio of profit = (184000 × 1) ∶ (224000 × 1) = 23 ∶ 28

U’s share in profit = {23/(23 + 28)} × Total profit = (23/51) × total profit

According to the question,

(23/51) × total profit = 20700

∴ Total profit = 20700 × (51/23) = 45900

Formula used:

Sum of first n odd number = n²

Average = Sum of observation/Number of observation

Calculation:

⇒ Sum of first 19 odd number = 19² = 361

Now,

∴ Average = 361/19 = 19

GIVEN:

Principal becomes Rs. 1392 in 2 years and Rs. 1488 in 3 years.

FORMULA USED:

SI = P × R × T / 100

Principal = Amount – Interest

CALCULATION:

Let the rate of interest be r

Amount in 2 years = Rs. 1392

Amount in 3 years = Rs. 1488

Simple interest in one year = 1488 – 1392 = Rs. 96

Simple interest in two years = 2 × 96 = Rs. 192

Now,

Principal = Amount – Interest = 1392 – 192 = Rs. 1200

So, Simple interest = (1200 × 2 × r)/100 = 24r

According to the question,

⇒ 192 = 24r

∴ r = 8%

Let cost price be x

Selling price = Rs. 2808

Profit % = {(selling price – cost price)/Cost price} × 100 = {(2808 – x)/x} × 100

According to the question,

⇒ 17 = {(2808 – x)/x} × 100

⇒ 0.17x = 2808 – x

⇒ 1.17x = 2808

⇒ x = 2400

∴ Cost price is Rs. 2400

Let the cost price be Rs. x

Marked price = x + 40% of x = Rs. 1.4x

Discount = 40

Selling price = 1.4x – 40

According to the question,

⇒ 1.4x – 40 = 520

⇒ 1.4x = 560

⇒ x = 400

⇒ Cost price = Rs. 400

∴ Profit % = {(selling price – cost price)/Cost price} × 100 = {(520 – 400)/400} × 100 = 30%

Statement I:

2√3 > 3√2

To Check either above given relation is correct or not, simplifying by squaring on both the sides.

⇒ (2√3)² > (3√2)²

⇒ 12 > 18 which is not true, as we know that 18 is greater than 12.

So, the given relation in statement I is not true.

Statement II:

Now, simplifying the values given in statement II

(Note: 2√8 = 2√(4 × 2) = 4√2)

4√2 > 2√8 on taking the square root from the right hand side.

⇒ 4√2 > 2 × 2√2

⇒ 4√2 > 4√2 which is not true, as the the value on left hand side is equal to the value on right hand side. 

So, the given relation in statement II is also not true.

∴ Neither statement I nor statement II is true.

Given:

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively.

Y left 4 days before completion.

Concept used:

If one can complete a work in w days then work done by him per day = 1/w

Calculation:

Work done by X in one day = 1/30

Work done by Y in one day = 1/40

Work done by Z in one day = 1/50

As, Y left 4 days before completion so only X and Y worked for 4 days

Work done by (X + Y + Z) in one day = (1/30) + (1/40) + (1/50) = 47/600

Work done by (X + Z) in one day = (1/30) + (1/50) = 32/600

Work done by (X + Z) in four day = (32/600) × 4 = 128/600

Remaining work = 1 – (128/600) = 472/600

Time taken by (X + Y + Z) to complete the remaining work = (472/600)/(47/600) = 472/47

∴ Total time = (472/47) + 4 = 660/47

Total work = LCM of [30, 40, 50] = 600

Work done by X in one day = 600/30 = 20

 Work done by Y in one day = 600/40 = 15

Work done by Z in one day = 600/50 = 12

As, Y left 4 days before completion.

∴ For the last 4 days only X and Z worked.

Work done in that period = (20 + 12) × 4 = 128

Work done by 3 of them together = 600 - 128 = 472

Work done by 3 of them together in one day = 20 + 15 + 12 = 47

Time taken = 472/47 days

Total time taken = 472/47 + 4 = 660/47 days.

Speed of train = 72 km/hr = 72 × (5/18) m/sec = 20 m/sec

Distance to be covered = 1400 m

Now,                     

Speed = Distance/time

∴ Time = Distance/speed = 1400/20 = 70 seconds

According to the graph, the second highest expenditure is in Machine lease with an expenditure of 250 lakhs

∴ Total expenditure = 300 + 250 + 50 + 150 + 200 + 200 + 50 = 1200 lakhs

Expenditure in Machine lease = 250

Total expenditure = 1200

∴ Central angle = (250/1200) × 360° = 75°

Expenditure on Labour and research = 50 + 50 =100 lakhs

Total expenditure = 1200 lakhs

∴ Required % = (100/1200) × 100 = 8.33%

As, each angle of a rectangle is 90°

Length = √{(diagonal)² – (breadth)²} = √{(17)² – (8)²} = 15 cm

Now,

∴ Perimeter of a rectangle = 2(length + breadth) = 2(15 + 8) = 46 cm

Area of semicircle = (1/2) × π × Radius²

⇒ 1925 = (1/2) × (22/7) × Radius²

⇒ Radius² = 1225

⇒ Radius = 35

Now,

∴ Perimeter = (π + 2) × radius = {(22/7) + 2} × 35 = 180 cm

Surface area of a sphere = 4 × π × Radius²

⇒ 5544 = 4 × (22/7) × Radius²

⇒ Radius² = 441

⇒ Radius = 21

Now,

∴ Diameter = 2 × Radius = 2 × 21 = 42 cm

As, m∠B = 90° and m∠A = 45°

By angle sum property,

m∠C = 180° – (m∠A + m∠B) = 180° – (90° + 45°) = 45°

Now,

∴ cosec C + (1/√3) = cosec45° + (1/√3) = √2 + (1/√3) = (√6 + 1)/√3

As,

cosec U = 13/12

⇒ UW/VW = 13/12

⇒ UW = 13k and VW = 12k

Now, in a right angle triangle by Pythagoras theorem,

UV² + VW² = UW²

⇒ (2.5)² + (12k)² = (13k)²

⇒ 6.25 + 144k² = 169k²

⇒ 25k² = 6.25

⇒ k² = 0.25

⇒ k = 0.5

Now,

∴ VW = 12k = 12 × 0.5 = 6 cm

The correct answer is Capitalist.

Key Points

• In a Capitalist economy, the factors of production are individually owned and can be used in a manner which the owner thinks fit.
• But sometimes government can put some restrictions on public welfare.
• While in a Socialist economy, collective ownership exists and in a mixed economy, the factors of production are owned by both individuals and governments.

The correct answer is  S Tendulkar Committee.

Key Points

• The current estimations of poverty are based upon the recommendations of the S Tendulkar Committee.
• It was formed in 2005 and strongly recommended to shift away from a calorie-based model.
• The cost of living was adopted as the basis for identifying poverty.

Additional Information

Lakdawala Committee-

• Planning Commission in September 1989 appointed D.T.Lakadwala Committee. The committee submitted its report in January 1993.
• The Lakadwala committee used the Alagh committee's method but it declared separate poverty lines for each state, rural as well as urban.
• The committee used the Uniform Recall Period method.
• The government used this method from 1997 to 2011 for the measurement of poverty.

Wanchoo Committee

• It is also known as the 'Direct Taxes Enquiry Committee'.
• It was set up under the leadership of Niranjan Nath Wanchoo.
• He was a senior civil servant and Governor of Kerala and Madhya Pradesh.
• The Committee recommended that fiscal and financial resources should be spent to develop all backward areas.

Dutt Committee

• It is also known as the 'Industrial Licensing Policy Inquiry Committee'.
• It was set up under Mr Subimal Dutt.
• The purpose of the commission was to enquire into the working of the licensing system in India.
• Some of the recommendations of the Committee were
• Larger industrial houses should be given licenses for setting up industry in core and heavy investment sectors.
• A monopolies commission should be established to deal with the problems of economic power.

The correct answer is Mehrgarh.

Key Points

• Mehrgarh (6500 to 5500 BC) is one of the oldest Neolithic sites in South Asia.
• It began during the Pre-Harappan period.
• It is located near the Bolan Pass on the Kacchi Plain of Balochistan, Pakistan.
• It is one of the earliest sites with evidence of farming and herding.
• Women and men learnt to grow barley and wheat, and rear sheep and goats.
• Remains of square or rectangular houses were found at the site.
• These people believe in life after death, this was visible from the burials which were found at the site.
• Mehrgarh was also a centre of manufacture for various figures and pottery that were distributed to surrounding regions.

Additional Information

• Burzahom is a Neolithic site in the district of Srinagar, India.
• The site is a unique comprehensive storyteller of life between 3000 BCE to 1000 BCE.
• It is a UNESCO world heritage centre.
• Dalmabad is a Chalcolithic or copper age site (2200-1000 BCE) on the left bank of river Pravara, a tributary of Godawari in the Ahmednagar district of Maharashtra.
• The site was discovered by archaeologist BP Bopardikar in 1956.
• One of the most significant discoveries from this site is the Dalmabad man, a bronze sculpture of a man riding a chariot drawn by a bull.

The correct answer is Nagina Masjid:

Key Points

• Nagina Masjid which was built in Bengal style is situated in Agra Fort. It was built by Mughal emperor Shah Jahan around 1631-1640 AD. It is also known as the Gem Mosque or the Jewel Mosque.
• Moti Masjid is a white marble mosque inside the Red Fort complex in Delhi.
• Jama Masjid is also in Delhi and is one of the largest mosques in India.
• Badshahi Mosque is a Mughal-era mosque in Lahore, Pakistan.

Additional InformationMoti Masjid -

• A historical landmark, Moti Masjid bears a stark resemblance to New Delhi’s Jama Masjid.
• It was built by Sikander Begum, then ruler of Bhopal, in 1860.
• Sikander Begum was an incredibly progressive and forward-thinking woman of her time, who commissioned roads, bridges and other monuments like the Moti Masjid to be built in Bhopal.

Jama Masjid (Agra)

• Jama Masjid is located just opposite the Agra fort.
• It was dedicated to his daughter, Jahanara Begum.
• Jama Masjid is also known as the 'Friday mosques'.
• Jama Masjid is one of the largest mosques in India.
• The Jama Masjid is built mainly of red sandstone and white marble that stand as a testimony to the magnificent Mughal architecture.
• It has a fountain at the centre and is supported by four kiosks in the courtyard.
• The interior walls have scriptures in the Persian style praising Shah Jahan and Jahan Ara.
• The inlaid panels of work here are quite similar to that of the Taj Mahal and are common to all the monuments and structures built by the Mughals in Agra.
• The Tomb of Salim Chisti is a part of the mosque compound.

Badshahi Mosque:

• The Badshahi Mosque was constructed by the Mughal emperor Aurangzeb between 1671 and 1673.
• It was the largest mosque in the world from 1673 to 1986.
• The mosque is an important example of Mughal architecture.
• Its exterior is decorated with carved red sandstone with marble inlay.
• It remains the largest mosque of the Mughal era and is the third-largest mosque in Pakistan.

The correct answer is Mercury, Venus, Earth, Mars.

Key Points

• The order of the planets in the solar system, starting nearest the sun and working outward is the following:
• Mercury
• Venus
• Earth
• Mars
• Jupiter
• Saturn
• Uranus
• Neptune
• The Solar System is made up of Sun and everything that orbits around it including planets, moons, asteroids, comets and meteoroids.

Additional Information

• The Sun The sun is in the centre of the solar system.
• It is huge and made up of extremely hot gases.
• It provides the pulling force that binds the solar system.
• The sun is the ultimate source of heat and light for the solar system.
• But that tremendous heat is not felt so much by us because despite being our nearest star, it is far away from us.
• The sun is about 150 million km away from the earth.
• The inner planets get more heat and energy from the Sun, so they are warmer than the outer planets.
• The outer planets are comparatively colder as they receive less energy from the Sun due to large distances.
• The Solar System contains 8 planets:

Shortcut Trick

 My Very Excited Mother Just Served Us Nachos

• M →  Mercury, V → Venus, E → Earth, M → Mars, J → Jupiter, S → Saturn, U → Uranus, N → Neptune

The correct answer is 9

Key Points

• There are 9 Indian states that have sea-shore and they are Gujarat, Maharashtra, Karnataka, Goa, Kerala, Tamil Nadu, Andhra Pradesh, Odisha, and West Bengal.
• The Four coastal Union Territories are Puducherry, Lakshadweep, Daman & Diu, and Andaman & Nicobar Islands.
• Gujrat has the largest coastline.
• The total coastline of India is 7517 km.

The correct answer is Nizamuddin Auliya

Key Points

• Amir Khusrow was a mystic and a spiritual disciple of Nizamuddin Auliya of Delhi.
• He is also known as the "father of qawwali".  His poetry was primarily in Persian.
• He was the originator of the Khayal and Tarana styles of music.

The correct answer is 2023.

Key Points

• Mumbai - Ahmedabad Bullet Train Project:- 
• The year 2023 has been set as a goal for completing the Mumbai-Ahmedabad bullet train project.
• It is a 508 km-long Mumbai to Ahmedabad High-Speed Rail (MAHSR) project.
• The overall budget of this project is Rs. 1,10,000 crore, out of which The Japan International Cooperation Agency (JICA) will provide a loan of Rs. 88,000 crores at a low rate of interest of 0.1% per annum.

The correct answer is Vishw Mithok Sarit Sagar.

Key Points

• Krishna Sobti is a Hindi fiction writer and essayist and for her contribution to Indian literature,
• She has received Jnanpith Award in 2017. She has also received the Sahitya Akademi Award in 1980 for her novel Zindaginama.
• Her other novels include Mitro Marajani, Samay Sargam, Daar Se Bichchuri, Surajmukhi Andhere Ke, and Yaaron Ke Yaar. While Vishw Mithok Sarit Sagar is written by Ramesh Kuntal Megh.

Important Points

Jnanpith Award

• Jnanpith Award is the oldest and the highest Indian literary award presented annually by the Bharatiya Jnanpith organization.
• It was instituted in 1961 and is awarded to an author for his/her outstanding contribution to literature.
• The award is bestowed only on Indian writers writing in Indian languages included in the Eighth Schedule of the Constitution of India and English.
• The winner is given a cash prize of Rs.13 lakh and a bronze replica of Goddess Saraswati, the Hindu goddess of learning.

The correct answer is Cambodia. 

Key Points

• China is the country which has the largest number of neighbours and they are North Korea, Russia, Mongolia, Kazakhstan, Kyrgyzstan, Tajikistan, Afghanistan, India, Nepal, Bhutan, Myanmar, Laos and Vietnam.
• It has the Fourth largest area in the world.

The correct answer is Wood pulp.

Key Points

• Rayon is made primarily from wood pulp.
• There exist many types and grades of rayon that can imitate the feel and texture of natural fibres.
• Some types of Rayon that resemble silk are also known as artificial silk.

The correct answer is Zinc.

Explanation:

• The property of metals by which they can be beaten into thin sheets is known as malleability
• Metals can be beaten and converted into thin sheets.
• Zinc is also a metal thus it can also be converted into thin sheets this property of metals is called malleability and the metals are thus called malleable metals.

The correct answer is All I, II, and III

Key Points

• NITI Aayog was formed on January 1, 2015, via a resolution of the Union Cabinet.
• It is a think tank whose aim is to achieve Sustainable Development Goals.
• The National Integration Council is a group that looks for ways to address the problems of communalism, casteism, and, regionalism.
• The Indian Board for Wildlife takes important decisions relating to the conservation of wildlife in India.
• Prime Minister of India is the de-facto head of all of the above bodies.

The correct answer is Municipal Corporation

Key Points 

• Nagar Panchayat, Municipal Councils, and Municipal Corporations are all Urban Governance Bodies responsible to generate revenue through taxes and deliver services to the citizens.
• Nagar Panchayat is for towns with populations between 11,000 and 25,000 people.
• Municipal Councils are for towns between 25,000 and 100,000 in population.
• A Municipal Corporation is to govern cities with a population of more than 100,000 people.
• Hence, from the above points, we can clearly infer that a Municipal Corporation controls a larger urban area.

The Correct answer is the Oxidation of carbon dioxide to carbohydrates.

Explanation:

• Photosynthesis is the process by which green plants prepare their own food. The events during photosynthesis are:
• 1. Absorption of light energy by chlorophyll.
• 2. Conversion of light energy to chemical energy and splitting of water molecules into hydrogen and oxygen.
• 3. Reduction of carbon dioxide into carbohydrates.
• Photosynthesis is the process through which green plants synthesize or prepare carbohydrates or food from sunlight, carbon dioxide (CO2), and water.
• Photosynthesis is a reduction process that involves the reduction of carbon dioxide to carbohydrates.
• In the presence of light, green plants fix carbon dioxide to complex molecules like carbohydrates.
• Photosynthesis occurs in the chloroplast of the cell.
• Chlorophyll is a green pigment that is found in the leaves of plants.
• It helps plants to absorb sunlight energy.
• This energy is used to prepare food by combining carbon dioxide and water.
• Plants with chlorophyll pigments may perform photosynthesis by absorbing light energy.
• The conversion of light energy to chemical energy occurs during the photosynthesis process.
• The splitting of water molecules into hydrogen and oxygen is known as photooxidation.

The correct answer is Capillaries.

Explanation:

• The smallest blood vessels which are one cell thick, are called Capillaries.
• Their main function is to enable the exchange of substances between the blood and surrounding tissues.
• They provide nutrients and oxygen to tissues and remove the byproducts of cellular reactions, such as carbon dioxide and water.
• The Vena cava is a large vein that returns deoxygenated blood from the body to the heart.
• Arteries are the blood vessels that deliver blood from the heart to the body. Veins are blood vessels that carry blood toward the heart.

The correct answer is Dharmendra Pradhan

Key Points

• Dharmendra Pradhan launched the Pradhan Mantri LPG Panchayat Yojna.
• He is the Minister of Petroleum & Natural Gas and Skill Development & Entrepreneurship.
• It acts as a backup to the Pradhan Mantri Ujjwala Yojana.
• It aims to distribute LPG connections among rural areas.

The correct answer is Zhong-Zhong and Hua Hua.

Key Points

• Zhong Zhong and Hua Hua:-
• These are two identical long-tailed macaques cloned by Chinese Scientists.
• A process called somatic cell nuclear transfer (SCNT) led to their production.
• This process involves transferring the nucleus of a cell, which includes its DNA, into an egg that has had its nucleus removed.

The correct answer is 3.50%

Key Points

• Arun Jaitley stuck to the fiscal deficit target of 3.5% of gross domestic product (GDP) for 2016-17, after achieving the 3.9% of GDP target in 2015-16.

The correct answer is Rs. 2 lakh or more.

Key Points

• Motor Vehicle (Amendment) Bill, 2016 :
• It aims to improve road safety and provides for a higher level of fines and penalties for drunk driving.
• The penalty for drunk driving under the Motor Vehicle (Amendment) Bill 2016 has been increased from Rs.2000 to Rs.10,000.
• The second offence, if within two years, can lead to up to two years prison term and/or a fine of Rs 15,000.
• According to Motor Vehicles Act (Amendment) Bill 2016, now in case of death, the compensation has been increased to Rs. 2 lakh from Rs. 25,000 earlier and in case of grievous injuries, it is Rs. 50,000 instead of Rs. 12,500 earlier.