SSC CHSL Previous Paper 34 (Held On: 19 March 2018 Shift 2) (Previous Year Paper)

The correct answer is 1

Key Points

Reading the sentence we find that:

The error is in part 1 of the sentence.

One cannot go under the crossroads, as it is not a bridge. Instead, it is a point where one reaches.

Important Points

When we are referring to locations or points we should use the preposition at

Therefore the correct form will be: At the crossroads. 

Additional Information

At a crossroads

At a point when a choice must be made; at a point of change.

• After earning my degree, I'm at a crossroads. I need to figure out which direction my life should take.
• As a company, we're at a crossroads. We can continue business as usual, or we can take a risk and try to grow.

The correct answer is 2

Key Points

Reading the above sentence we find that:  

• In the second part of the sentence, 'on' is incorrect Instead use 'for'
• 'For' is a preposition and one of the meanings of it is 'having as a purpose or function'
• Hence, this meaning is correct in the sentence.

So the correct sentence is:

Implicit in the Satyagraha was Gandhi's assumption that all rulers are dependent for their position and power upon the obedience and cooperation of the ruled.

The correct answer is A

Key Points

Reading the sentence we find that: 

• Article A should be filled in the blank.
• Thus the sentence will be "A European...."

Important Points

• Article A is used before words beginning with a consonant or with a consonant sound.
• In the given question the word European starts with a consonant sound i.e a 'Y' sound.
• Therefore we should use A instead of An.

Mistake Points

• Seeing that the word European starts with a vowel one might think that 'an' should be used.
• But even though the word starts with a vowel the starting sound is that of a consonant.

Therefore the correct answer is 'A European.'

The correct answer is perfection

Key Points

Reading the above sentence we find that:

• A word that means quality or excellence should be used here.

Let's look at the meaning of the correct option. 

• perfection: the state or quality of being perfect; excellence

Therefore the correct answer is perfection as it suits the sentence meaningfully and contextually.

The correct answer is Careless

Key Points

Let's look at the meaning of the given word and the correct option. 

• Lackadaisical: careless; lazy; unenthusiastic.
• Careless: Not having sufficient attention; unenthusiastic.

Thus from the above meanings, we find that both words express the same meaning. 

Additional Information

Let's look at the meaning of the other given words. 

• Active: Engaging or ready to engage in physically energetic pursuits.
• Energetic: Showing or involving great activity or vitality.
• Enthusiastic: Having or showing intense and eager enjoyment.

The correct answer is Diverse.

Key Points

Let's look at the meaning of the given word and the correct option. 

• Eclectic: Deriving ideas, style or taste from a broad and diverse range of sources.
• Diverse: Showing a great deal of variety.

Thus from the given meanings, we find that both words express the same meaning. 

Thus the correct answer is Diverse. 

Additional Information

Let's look at the meanings of the other given words.

• Particular: Used to single out and individual member.
• Electric: Of worked by, charged with or producing electricity.
• Selective: Relative or involving the selection of the most suitable.

The correct answer is Do.

Key Points

Let's look at the meaning of the given word and the correct option. 

• Procrastinate: Delay or postpone actions; put off doing something.
• Do: To perform an action; to achieve or complete.

Thus from the given points, we find that both the words have the opposite meaning.  

Additional Information

 Let's look at the meaning of the other given words. 

• Delay: Make someone or something late or slow.
• Defer: Postpone; suspend or delay.
• Drag: Pass slowly and tediously; to pull someone.

The correct answer is Plain.

Key Points

• Let's look at the meaning of the given word and the correct answer.
• Baroque: A style used to create exuberance, grandeur and detail. 
• For Example - Their repertoire mixes Baroque works with contemporary music.
• Plain: Not decorated or elaborate; simple or basic.
• For Example - Their website is fairly plain, but very easy to navigate.
• Thus from the given points, we find that both the words express the opposite meaning.
• Therefore, the correct answer is Plain.

Additional Information

• Let's look at the meanings of the other given words.
• Decorative: Serving to make something look more attractive. 
• For Example - He gave the picture a decorative border, which changed the look of the page.
• Bizarre: Very strange or unusual. 
• For Example - I had a really bizarre dream last night.
• Rich: Having a great deal of money or assets; wealth.
• For Example -  He is determined to get rich quickly.

The correct answer is QRP.

Key Points

Reading the first part of the sentence we find that: 

• Maximum is an adjective and it should be followed by a noun.
• Out of the given parts, R does not start with a noun and hence it can be ruled out.
• Part R also ends with the phrase 'in a given' and the word given is an adjective and it should be followed by a noun.
• For this reason, R cannot be the final part of the sentence.
• This leaves us with only one option i.e QRP which perfectly rearranges the given sentence.

Thus from the given points, we can conclude that the correct answer is QRP. 

The correct sentence will be: The maximum rate at which water enters into the soil in a given condition is called its infiltration capacity.

The correct answer is A dish was not cooked by the chef.

Key Points

While changing a sentence to the passive voice:

• The subject of the sentence becomes the object.
• The object of the sentence becomes the subject.
• Therefore dish in the given sentence becomes the subject of the passive voice.
• The chef becomes the object of the passive voice.
• Did not cook changes to was not cooked.
• Thus we get the sentence: A dish was not cooked by the chef.

Thus from the given points, we can conclude that the correct answer is A dish was not cooked by the chef. 

The other given options are incorrect for the following reasons. 

• In option 2 wasn't cook is wrong as the verb cook should be in the past tense i.e cooked.
• In option 3 isn't cooked is wrong as 'is' is used in the present tense and the passive voice is in the past tense.

The correct answer is The princess asked me whom I considered the happiest person living. 

Key Points

Reading the given sentence we find that it's in the direct speech. 

To change it to an indirect speech we should:

• Change the verb said to asked, as a question is being asked in the sentence.
• The tense changes from simple present tense to simple past tense.
• Thus do you 'consider' changes to 'considered'.
• 'You' changes to 'I' as it is an indirect speech.
• When the direct speech begins with a question there is no need to put conjunction in the indirect speech.

Thus we get the final sentence: 'The princess asked me whom I considered the happiest person living.'

The correct answer is Apparent.

Key Points

Looking at the given options we find that:

• Apparent is the correct spelling of the word.
• Apparent: Clearly visible, understood or obvious.
• Example: She laughed for no apparent reason.

​Therefore the correct answer is Apparent.

The correct answer is Majority

Key Points

Reading the given sentence we find that: 

• The given part of the sentence is talking about a large group of people.
• So a word with a meaning similar to this should fill the blank.

Let's look at the meaning of the correct option. 

• Majority: a greater number; a large number.
• Example: The candidate had the overwhelming support of the majority of the people.

​Thus from the given points, we can conclude that the correct answer is majority. 

Additional Information

Let's look at the meanings of the other given words. 

• Major: Important, serious or significant; a rank given to an officer in the military.
• Majorly: very, extremely.
• Majors: Studies that one specialises in college.

The correct answer is of.

Key Points

Reading the above sentence we find that: 

• A proposition that expresses the relationship between proof and the statement is needed here.

Let's look at the meaning of the preposition 'of.'

• Of: a preposition that expresses the relationship between a part and the hole.
• Here the proposition is establishing the relationship that is proof of the statement.

Thus from the above points, we can conclude that the correct answer is of. 

Additional Information

Let's look at the other options. 

• From: A preposition that indicates a point in space and time.
• Form: The visible shape of something; bring together parts to combine.
• Off: Away from the place in question.

The correct answer is in. 

Key Points

Reading the above sentence we find that: 

• Views are something that each person has in his mind.
• Since a view is inside our mind we should preposition that conveys that the views are inside the person's mind.
• In: A preposition expressing the situation of something.
• In the given context we are talking about the views of the writers.

Thus from the given points, we can conclude that the correct answer is in.  

Additional Information

• Into: A preposition expressing movement or action.
• To: Expressing movement in a particular direction; approaching or reaching a particular position.
• On: Physically in contact with and supported by (something).

The correct answer is with.

Key Points

Looking at the above sentence we find that: 

• A preposition with the meaning of 'having or possessing' should fill the blank.
• Thus the correct preposition to be used here is with.
• With: Having or possessing something.

Thus from the above points, we can conclude that the correct answer is with. 

Additional Information

Let's look at the meanings of the other given options.

• Against: In opposition to.
• Around: On every side of; located or situated on every side.
• Above: At a higher level or layer that.

The correct answer is Facts.

Key Points

Looking at the given blank we find that: 

• The word 'impressions' is used in the plural.
• Therefore a plural noun should be used in the blank.
• Facts: Something that truly exists; truth, reality. Plural of the noun fact.

Thus from the above points, we can conclude that the correct answer is facts. 

Additional Information

Let's look at the meanings of the other given options. 

• Factual: An adjective that means concerned with what is actually the case.
• Factually: An adverb which means with regard to what is actually the case.

The correct answer is Read or work late into the night. 

Key Points

Let's look at the meaning of the given idiom. 

• Burn the midnight oil: To stay up late working or studying.
• Example: We are all burning the midnight oil before the exams.

Thus from the given meaning and example we can conclude that the correct answer is Read or work late into the night.

The correct answer is To quit in defeat. 

Key Points

Let's look at the meaning of the given idiom.

• Throw the towel in: To quit in defeat.
• Example: Rocky was told by his trainer that he was going to throw in the towel in if he did not start throwing punches.

​Thus from the given meaning, we can conclude that the correct answer is 'To quit in defeat'

Additional Information

The idiom 'throw the towel in' comes from boxing, where a fighter indicates surrender by throwing a towel into the ring.

The correct answer is Denigrate.

Key Points

Let's look at the meaning of the correct option. 

• Denigrate: Criticize unfairly; disparage.
• Example: It was unfair to denigrate her achievement.

​From the above-given points, we can conclude that the correct answer is Denigrate. 

Additional Information

Let's look at the meanings of the other given options. 

• Complimentary: Expressing a compliment or approval.
• Obeisance: The movement of the body made in token of respect; to bow.
• Accolade: A mark of acknowledgement.

The correct answer is Serendipity.

Key Points

Let's look at the meaning of the correct option. 

• Serendipity: Unexpected good luck; the fact of finding interesting or valuable things by chance.
• Example: There is a real element of serendipity in archaeology.

Thus from the given meaning, we can conclude that the correct answer is serendipity.

Additional Information

Let's look at the meanings of the other given words. 

• Debacle: A great disaster or a complete failure.
• Affliction: A cause of pain or harm.
• Infelicity: A thing that is inappropriate.

As we are talking about present time so we will use present perfect tense not past.

We = plural. Thus, rule out 1). We crossing = grammatically incorrect. Rule out 4). use have. Option 3) have crossed is the correct answer.

The correct answer is have dared. 

Key Points

Reading the above sentence we find that: 

• The sentence starts with I and therefore it should be followed by have.
• The tone of the given sentence indicates that it is in the past tense.
• Therefore we should use dared instead of dare.
• Using dare makes the sentence grammatically incorrect. As it is not the correct verb to fit the tense.
• Thus from the given points, we can conclude that the correct answer is have dared.

Correct Sentence: I wouldn't have dared to venture into such a scene.

The correct answer is ABC

Key Points

Reading the given points we find that: 

• Sentence A and B end with an article i.e a and then.
• As per the rule of grammar, a sentence cannot end with an article.
• Thus we can conclude that C is the only sentence that can be the ending statement.
• And the only option where C is the ending statement is ABC.
• Thus from the above points, we can conclude that the correct answer is ABC.

Correct Sentence: We need to ask ourselves if personal isolation is a natural concomitant of the advancement of technology.

The correct option is conjectural 

Key Points

Out of the given options only conjectural is correctly spelt. 

• Conjectural: based on or involving conjecture.
• Example: The evidence was deemed too conjectural.

Thus from the given points, we find that the correct answer is conjectural. 

Additional Information

Conjectural is an adjective form of the noun conjuncture. 

• Conjecture: an opinion or conclusion formed on the basis of incomplete information

1. 23,69,13,87 → G V C P

2. 21,33,89,24 → F A R M

3. 20,97,12,65 → H X G Y

4. 14,79,32,65 → M X B Y

Hence, “21,33,89,24” is the correct answer.

The logic followed is:

Logic: (First number + 1) × 3 = Second number

19: 60 → (19 + 1) × 3 = 60

Similarly,

21 : ? → (21 + 1) × 3 = 66

Hence, the correct answer is "66".

The positional value of the letters, according to the English alphabet series are,

The pattern followed here is:

SRM : IHC →

Similarly,

ZUQ : PKG →

Hence, the correct answer is "PKG".

Area, Volume and perimeter are dimensions of a geometrical figure whereas cube is a geometrical figure.

Hence, the correct answer is "Cube".

The logic followed here is:

Logic: (First number) : (First number)² 

1) 14 - 196 → 14 - 14²

2) 16 - 256 → 16 - 16²

3) 18 - 324 → 18 - 18²

4) 22 - 464 → 22 - 464

Hence, the correct answer is "22 - 464".

The position value of alphabet is,

The pattern follows here is:

1) BFJ

2) PTX

3) JNR 

4) KOR

Hence, the correct answer is "KOR".

The sequence is as followed:

5. People
6. Periodic
7. Perplex
8. Persist
9. Persistent

Hence, the correct answer is "53142".

The logic followed is:

Hence, the correct answer is "64".

The pattern followed here is:

According to the alphabetical positions of the letters,

The logic followed is:

Hence, the correct answer is "P".

Let us consider the age of R and P to be 9x: 11x, after 7 years their age will be (9x + 5) and (11x + 5) which is equal to a ratio 26: 31.

So by comparing that we will get,

(9x + 7) : (11x + 7) = 26 : 31

31 (9x + 7) =  26 (11x + 7)

279x + 217 = 286x + 182

217 - 182 = 286x - 279x

X = 5

Therefore x = 5, then the present age of P will be 11x = 11 × 5 = 55.

Hence, the correct answer is "55".

Into → Revolution → can be formed

Vote → Revolution → can be formed

Tone → Revolution → can be formed

Right → Revolution → cannot be formed as G is not present in the given word

Hence, the correct answer is "Right".

The positional value of the letters, according to the English alphabet series is,

The logic followed here is:

FUNGI → HYPKK

Similarly,

ALGAE → CPIEG 

Hence, the correct answer is "CPIEG".

Hence, the correct answer is RMF.

The logic followed is:

39 + 1 → 40

40 + 2 → 42

42 + 1 → 43

43 + 2 → 45

 45 + 2 → 46

Hence, the correct answer is 46.

The logic followed here is:-

Second number = First number + 3

Third number = First number + 6

1. In (16, 19, 22)

(16, 16 + 3, 16 + 6) = (16, 19, 22)

2) In (18, 21, 25)

(18, 18 + 3, 18 + 6) = (18, 21, 24)

3. In (17, 20, 23)

(17, 17 + 3, 17 + 6) = (17, 20, 23)

4. In (21, 24, 27)

(21, 21 + 3, 21 + 6) = (21, 24, 27)

Hence, the correct answer is "(18, 21, 25)".

Given equation: 17 - 20 + 5 × 30 ÷ 4 = ?

After replacing the symbols with their meaning, we get:-

New equation → 17 × 20 ÷ 5 - 30 + 4

Now, after applying BODMAS Rule, we get:-

17 × 20 ÷ 5 - 30 + 4

17 × 4 - 30 + 4

68 - 30 + 4

72 - 30 = 42

Hence, the correct answer is "42".

Given equation → 16 × 4 - 10 + 10 ÷ 6 = 54

Checking options one by one by interchanging signs

1) ÷ and ×

After interchanging, new equation → 16 ÷ 4 - 10 + 10 × 6 = 54

By solving the equation using BODMAS Rule, we get:-

16 ÷ 4 - 10 + 10 × 6 = 54

4 - 10 + 10 × 6 = 54

4 - 10 + 60 = 54

64 - 10 = 54

54 = 54

Left hand side is equal to right hand side

2) × and - 

After interchanging, new equation → 16 - 4 × 10 + 10 ÷ 6 = 54

By solving the equation using BODMAS Rule, we get:-

16 - 4 × 10 + 10 ÷ 6 = 54

16 - 4 × 10 + 1.66 = 54

16 - 40 + 1.66 = 54

17.66 - 40 = 54

-22.34 ≠ 54

Left hand side is not equal to right hand side

3) ÷ and -

After interchanging, new equation → 16 × 4 ÷ 10 + 10 - 6 = 54

By solving the equation using BODMAS Rule, we get:-

16 × 4 ÷ 10 + 10 - 6 = 54

16 × 0.4 + 10 - 6 = 54

6.4 + 10 - 6 = 54

16.4 - 6 = 54

10.4 ≠ 54

Left hand side is not equal to right hand side

4) - and +

After interchanging, new equation → 16 × 4 + 10 - 10 ÷ 6 = 54

By solving the equation using BODMAS Rule, we get:-

16 × 4 + 10 - 10 ÷ 6 = 54

16 × 4 + 10 - 1.66 = 54

64 + 10 - 1.66 = 54

74 - 1.66 = 54

72.33 ≠ 54

Left hand side is not equal to right hand side

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

The logic followed here is:-

(First number - Second number) × 10 = Result.

In 9 & 4 = 50

(9 - 4) × 10 = 50

In 3 & 7 = -40

(3 - 7) × 10 = -40

In 7 & 5 = 20

(7 - 5) × 10 = 20

Similarly,

In 4 & 5 = -10

(4 - 5) × 10 = -10

Hence, the correct answer is "-10".

The pattern followed here is:-

The letters are increased by 2 as in alphabetical series, starting from the first letter.

PQPQPQPQ → RQPQPQPQ → RSPQPQP → RSRQPQPQ → RSRSPQPQ → RSRSRQPQ.

Hence, the correct answer is "RSRSRQPQ".

Given → C and D start cycling from their fitness club

The route taken by C is shown in definite lines and route taken by D is shown in dashed lines.

Hence, the correct answer is "6 km East ".

The least possible Venn diagram is as follows,

Conclusion I: Some cells are chargers → Follows (In the above diagram shows there is a relation between cells and charges.)

Conclusion II: All chargers are cells → Not follows (It is possible but not definite)

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

The rectangle represents Animators,

The circle represents Dancers,

Triangle represents Potters,

Square represents Mothers

Thus the letters inside the triangle but not in the intersection of the square and triangle represent Potters who are not Mothers i.e. IH.

Hence, the correct answer is "IH".

Above diagram shown is represent correct mirror image of given question figure.

Hence, the correct answer is "Option 3".

In option 1 the opposite faces are adjacent, which is impossible.

Hence, the correct answer is "Option 3".

The pattern followed here is:

A letter is represented first by a row and then by a column

1) 13,86,77,97 → G,Y,R,O

2) 13,57,24,77 → G,P,A,R

3) 10,65,42,79 → M,S,K,Q

4) 20,56,13,75 → H,X,G,S

Hence, the correct answer is "13,86,77,97".

Detailed solution:-

3/4 = 0.75

5/12 = 0.41

13/16 = 0.8125

16/29 = 0.55

3/8 = 0.375

So, the decreasing order is 13/16 > 3/4 > 16/29 > 5/12 > 3/8

Concept used:- 

(1)Prime numbers are numbers greater than 1.

(2) They only have two factors, 1 and the number itself.

(3) This means these numbers cannot be divided by any number other than 1 and the number itself without leaving a remainder. Numbers that have more than 2 factors are known as composite numbers.   

Calculation:-

Factors of 39 = 3 × 13

Factors of 87 = 3 × 29

Factors of 79 = 1 × 79

Factors of 93 = 3 × 31

So, the prime no. = 79 

∴ The required answer is 79.

$\begin{array}{l} \Rightarrow x = \frac{4}{{2\sqrt 3 + 3\sqrt 2 }} \times \frac{{2\sqrt 3 - ;3\sqrt 2 }}{{2\sqrt 3 - 3\sqrt 2 }}\ \Rightarrow x = \frac{{8\sqrt 3 - 12\sqrt 2 }}{{12 - 18}} \end{array}$  [rationalization]

$\begin{array}{l} \Rightarrow x = \frac{{8\sqrt 3 - 12\sqrt 2 }}{{ - 6}}\ \Rightarrow \frac{1}{x} = \frac{{2\sqrt 3 + 3\sqrt 2 }}{4} \end{array}$

$\Rightarrow x + \frac{1}{x} = \frac{{8\sqrt 3 - 12\sqrt 2 }}{{ - 6}} + \frac{{2\sqrt 3 + 3\sqrt 2 }}{4}$

$\Rightarrow x + \frac{1}{x} = \frac{{2\sqrt 3 + 3\sqrt 2 }}{4} - \frac{{\left( {8\sqrt 3 - 12\sqrt 2 } \right)}}{6}$

$\Rightarrow x + \frac{1}{x} = \frac{{6\sqrt 3 + 9\sqrt 2 - \left( {16\sqrt 3 - 24\sqrt 2 } \right)}}{{12}}$

$\Rightarrow x + \frac{1}{x} = \frac{{6\sqrt 3 + 9\sqrt 2 - 16\sqrt 3 + 24\sqrt 2 )}}{{12}}$

$\begin{array}{l} \Rightarrow x + \frac{1}{x} = \frac{{ - 10\sqrt 3 + 33\sqrt 2 }}{{12}}\ \Rightarrow x + \frac{1}{x} = \frac{{ - \left( {10\sqrt 3 - 33\sqrt 2 } \right)}}{{12}} \end{array}$

Given:

4y – 6x + 9 = 0       ----(1)

Concept used:

Equation of perpendicular line x cos a + y sin a = P       ----(2)

Calculation:

Comparing eq. (1) and (2)

cos a = – 6 and sin a = 4 and P = – 9

Slope, m = tan a = sin a/cos a = -4/6 = -2/3

∴ The correct answer is -2/3

Alternate Method

4y – 6x + 9 = 0

⇒ y = 3x/2 + 9/4

Comparing it with y = mx + c

m = 3/2

The slope of perpendicular lines

m₁m₂ = -1      where m₁ = 3/2

⇒ m₂ = -2/3

Given:- 

The two chords AB and CD of a circle intersect at point P, such that BP = 4 cm, PD = 5 cm, and CP = 8 cm. 

Concept used:-

In a triangle, when two lines intersect at a point and touch one segment of the triangle, then that segment is twice the length of one of the intersecting lines. AP × BP = CP × PD

Calculation:-

According to the theorem,

AP × BP = CP × PD

⇒ AP × 4 = 8 × 5

⇒ AP = 10

∴ Chord AB = AP + BP = 10 + 4 = 14 cm 

∴ The required answer is  14.

Given:-

(1) AB is the chord of a circle of length 6 cm.

(2) a perpendicular is drawn which intersects the chord at D and the distance between the center and the chord is 4 cm.

Formula used:-

(1) Hypotenuse² = Perpendicular² + Base² 

(2)  Area of the circle = πr² 

(3) If a radius of a circle is perpendicular to a chord in the circle, then the radius bisects the chord. 

Calculation:-

In triangle AOP,

(AO)² = (AP)² + (OP)²

⇒ (AO)² = (3)² + (4)² = 9 + 16 = 25

⇒ AO = 5 cm = radius

∴ Area of the circle = πr² = 22/7 × 5 × 5 = 550/7 = 78.5 cm² 

 ∴ The required answer is 78.5

Shortcut Trick

Income : Expenditure : Savings = 60000 : 40000 : 20000 = 3 : 2 : 1

Use weighted average: Income % = (Exp % × Exp part + Sav % × Sav part) / Total parts

20% = (15% × 2 + x% × 1) / 3

60 = 30 + x ⇒ x = 30%

∴ The correct answer is 30%.

Alternate Method

Given: Initial Income = ₹60,000, Initial Expenditure = ₹40,000

Formula: Savings = Income − Expenditure

⇒ Initial Savings = 60,000 − 40,000 = ₹20,000

⇒ New Income = 60,000 × (120/100) = ₹72,000

⇒ New Expenditure = 40,000 × (115/100) = ₹46,000

⇒ New Savings = 72,000 − 46,000 = ₹26,000

⇒ Increase in Savings = 26,000 − 20,000 = ₹6,000

⇒ Percentage Increase = (6,000 ÷ 20,000) × 100 = 30%

∴ The correct answer is 30%.

Additional Information

Income-Expenditure-Savings Relation

The fundamental equation is Income = Expenditure + Savings. Any percentage change in one can be found if the changes in the other two and their initial ratios are known.

Alligation Method in Income

This problem can also be solved using alligation where the ratio of expenditure to savings is placed against their respective percentage increases to find the overall income increase.

Successive Percentage Change

If a value changes by a% and then b%, the net change is given by (a + b + ab/100)%. This applies to revenue (Price × Consumption) but not directly to additive relations like Income.

u : v : w = 3 : 6 : 8

Ratio of (u/v) : (v/w) : (w/u)  

⇒ (3/6) : (6/8) : (8/3) 

⇒ (1/2) : (3/4) : (8/3)

⇒ (1/2) × 12 : (3/4) × 12 : (8/3) × 12 

⇒  6 : 9 : 32  

∴ The required answer is  6 : 9 : 32

Let Puneet lent Rs. a at 5% and Rs. (30000 – a) at 9% interest

S.I. = (P × R × T)/100

⇒ (30000 × 6 × 1)/100 = (a × 5 × 1)/100 + ((30000 – a) × 9 × 1)/100

⇒ 30000 × 6 × 1 = a × 5 × 1 + (30000 – a) × 9 × 1

⇒ 180000 = 5a + 270000 – 9a

⇒ 4a = 270000 – 180000

⇒ 4a = 90000

⇒ a = 22500

∴ 30000 – a = 30000 – 22500 = 7500

Shortcut TrickThe average of 19 boys is 56.

∴ The highest and lowest marks are 56.

⇒ Sum of highest and lowest marks = 56 + 56 = 112

Since the average is decreased by 2 when the highest and lowest marks are removed.

⇒ Number of boys after removing highest and lowest marks = 19 - 2 = 17

⇒ Actual sum of highest and lowest marks = 112 + 2 × 17 = 112 + 34 = 146

⇒ Average of highest and lowest marks = 146/2 = 73

Detailed Solution:

Total marks obtained by 19 students = 19 × 56 = 1064

Total marks of 17 students after removing highest and lowest marks = 17 × (56 – 2) = 918

Sum of highest and lowest marks = 1064 – 918 = 146

∴ Average of highest and lowest marks = 146 ÷ 2 = 73

Given:-

 A sum of Rs. 5000 becomes Rs. 8000 in 3 years when invested in a scheme of simple interest.

Formula used:- 

(1) S.I = Amount – Principal 

(2) S.I. = (P × R × T)/100

Calculation:-

S.I = Amount – Principal = 8000 – 5000 = 3000

S.I. = (P × R × T)/100

⇒ 3000 = (5000 × R × 3)/100

⇒ R = 1000/50 = 20% = 1/5

∴ Amount after 3 years (at C.I.) = 5000 × 6/5 × 6/5 × 6/5 = 8640

Given:-

(1) A shopkeeper sells wheat at a profit of 20% and for weighing uses a weight that is 10% less than the actual weight.

Formula used:-

(1) Profit = S.P – C.P. (SP = Selling Price, CP = Cost Price)

(2) Profit % = (Profit × 100)/CP 

Calculation:-

Let the shopkeeper sells 1000 gm of wheat at Rs. 1000.

S.P of wheat = 120% of C.P = 1000 × 120/100 = 1200

Shopkeeper weight is 10% less, so C.P of 900gm wheat = Rs. 900

Profit of shopkeeper = 1200 – 900 = Rs. 300 

∴ Profit%  = 300/900 × 100 = 33.33%

Given:-

(1) A table is sold at a discount of 45%. 

(2) The marked price of the table is Rs 10800

Formula used:- 

S.P = M.P. × (100 - Discount)/100

Where SP = selling price,  MP =  marked price

Calculation:-

⇒ S.P = M.P. × (100 - Discount)/100

⇒ S.P. = 10800 × (100 - 45)/100 

⇒  S.P. = 10800 × 55/100 

∴ S.P. = 108 × 55 = 5940  

∴ The required answer is 5940

Concept used:

If a no. is greater than another no. than its square is also greater than another no

Calculation:

Checking 1^st Statement (√11 + √2) > (√8 + √5)

On squaring the given statements

⇒ (√11 + √2)² > (√8 + √5)² = (√11)² + (√2)² + 2 × √11 × √2 > (√8)² + (√5)² + 2 × √8 × √5

⇒ 11 + 2 + 2 × √11 × √2 > 8 + 5 + 2 × √8 × √5 = 13 + 2 √22 > 13 + 2 √40

Condition of 1^st Statement is false.

Checking 2^nd Statement (√10 + √3) > (√7 + √6)

On squaring the given statements

(√10 + √3)² > (√7 + √6)² = (√10)² + (√3)² + 2 × √10 × √3 > (√7)² + (√6)² + 2 × √7 × √6

⇒ 10 + 3 + 2 × √30 > 7 + 6 + 2 × √42 = 13 + 2 √30 > 13 + 2 √42

Condition of 2^nd Statement is false.

∴ The answer is Neither I nor II.

Detailed solution:-

Let No. of girls be G and the total work is W.

(M₁ × D₁)/W₁ = (M₂ × D₂)/W₂

⇒ (G × 18)/W = (2G × D₂)/3W

⇒ (1 × 18)/1 = (2 × D₂)/3

∴ D₂ = 18 × 3/2 = 27 days  

∴ The required answer is 27

Detailed solution:-

Let the speed of the fast train is S_{f  ,}and the speed of the slow train is S_s.

⇒ (Length of the fast train)/Time = S_f  – S_s 

⇒ (Length of fast train)/72 = 5/18 × (50 - 24) 

⇒ Length of fast train  = 5/18 × 26 × 72 

∴ Length of fast train = 520 m

Calculation:

Average price of a car = 5 lakhs

Total car sold in a month = Car sold of brand (A + B + C + D + E + F + G)

⇒ Total car sold in a month = 200 + 260 + 340 + 100 + 280 + 200 + 220 = 1600

∴ Total car sales in a month = 1600 × 5 = 8000

∴ Units sold of brand D was lesser than that of brand F by = (200 – 100)/200 × 100 = 50%

∴ Ratio of units sold of brand G to that of brand E = 220 : 280 = 11 : 14

340 is the highest units sold of Car C

So 280 is the second highest units sold of Car E.

Given:-

(1) Length  = 20cm (2) Diagonal = 29 cm

Formula used:- 

Hypotenuse² = Perpendicular² + Base² 

Calculation:-

L = 20 cm, D = 29 cm, and B = ?

⇒ D² = L² + B²

⇒ 29² = 20² + B²

⇒ B² = 841 – 400

⇒ B² = 441

⇒ B = 21 

∴ The required answer is 21.

Detailed solution:-

Number of sides = N

Sum of interior angles = (N – 2) × 180

⇒ 720 = 180N – 360

⇒ 720 + 360 = 180N

⇒ 180N = 1080

⇒ N = 6 

∴ The required answer is 6.

Given:-

A cube of side 4.5 cm. 

Formula used:- 

Volume of cube = (side)3 

Calculation:-

Volume of cube = (side)³ = 4.5³

∴ Volume of cube = 91.125 cm³

Detailed solution:- 

We know that,

tan60= √3 

Put the value of tan60 in a given function

⇒ 2 - tan 60°  = 2 – √3  

∴ The required answer is  2 – √3 .

Given:- 

(1) ΔUVW is right-angled at V.

(2) sinU = 24/25

Formula used:-

(1) Sin U = Length /Hypotenuse

(2) Cos U = Base / Hypotenuse

Calculation:-  

⇒ Sin U = 24/25 = VW/UW

⇒ Cos W = VW/UW = 24/25  

∴ The required answer is 24/25

The expanded form of the term LIBOR is: London Inter-Bank Offered Rate.

• The average interest rate roughly calculated by leading banks in London which they would pay if they borrow from other banks is called as LIBOR.
• It was earlier known as BBA Libor whose full form was British Bankers' Association Libor.
• These rates are calculated for five currencies and published every day by Thomson Reuters.

An official who holds the rank of a Cabinet Minister holds the post of Deputy Chairman of the Planning Commission.

• The Planning commission was set up in March 1950 by a Resolution of Government of India.
• It makes an assessment and balanced utilization of all resources of the country.
• The Prime Minister is the ex- officio Chairman of the Planning Commission.
• Montek Singh Ahluwalia, was the last deputy chairman of the commission, resigned on May 26, 2014.

• Ghari was initiated by the Alauddin Khilji. Ghari was a house tax which was imposed by him on the people of his reign.
• Kharaj was a tax imposed by Firozshah Tughlaq on total production of lands which belonged to Non - Muslims.
• Zakat was a religious tax which was imposed on Muslims.
• In Kankut, the entire land was measured by pacing it and the crops were roughly calculated by inspection.

The correct answer is option 2 i.e East India Association. 

• East India Association was established outside India.
• It was formed by some Indian students in London in 1866.
• It was initiated by Dadabhai Naoroji.
• It was among the former organizations of the Indian National Congress.
• The Indian Association:
• It was the first avowed nationalist organization founded in British India by Surendranath Banerjee and Ananda Mohan Bose in 1876
• Bengal-British India Society:
• It was founded in Calcutta in 1843.
• India League:
• The India League originally was a Britain-based organisation whose aim was to campaign for the full independence and self-governance of India.
• It was formally established in 1928 by Krishna Menon.

The correct answer is Mount Black.

Key Points

• Mountain
• A Mountain is any natural elevation, rising considerably higher (above 600m) than the surrounding area. They generally have a small summit and a broad base.
• Volcanic Mountains or Mountains of accumulation- These mountains are formed by the accumulation of volcanic materials.​

Additional Information

• Mount Etna is an active volcano on the east coast of Sicily in Italy.
• It is located between the cities of Messina and Catania.
• It is the most active stratovolcano in the world.
• Mount Etna is the highest active volcano in Europe.
• It is the highest Mediterranean island mountain.
• Three observatories have been set up on its slopes located at Catania, Casa Etnea, and Cantoniera.
• It was added to the list of UNESCO World Heritage Sites in 2013.
• Mount Fujiyama ​
• Mount Fuji is of the volcanic origin.
• In Japanese it is also called as Fuji-san and Fujiyama.
• Mount Fuji is located on Honshu Island of Japan.
• The islands of Japan from North to South are Hokkaido, Honshu, Shikoku, Kyushu and Okinawa.​
• Mount Kilimanjaro is located in Tanzania, Africa.
• Mount Kilimanjaro is the African continent's highest peak at 5,895 meters (19,340 feet).
• The majestic mountain is a snow-capped volcano.
• Mount Kilimanjaro is Africa’s tallest mountain.
• It is also called a stratovolcano (a term for a very large volcano made of ash, lava, and rock)Kilimanjaro is made up of three cones: Kibo, Mawenzi, and Shira. Kibo is the summit of the mountain.

The correct answer is Cardamom Hills.

Key Points

• Cardamom hills- Cardamom hills are in the state of Tamil Nadu.
• The highest peak of the cardamom hills is Anai Mudi.
• These hills are adjacent to Kanyakumari.
• It is widespread in the states of Kerala and Tamil Nadu.
• These hills are famous for the production of good tea and cardamom.

Additional Information

• Nilgiri Hills are situated in Tamil Nadu.
• Doddabetta is the highest peak of the Nilgiri hills.
• Nilgiri hills are a part of the Western Ghats.
• The hills are located at the tri-junction of the states Karnataka, Kerela, and Tamil Nadu.
• These mountains are named after the Neelakurunji flowers (purplish-blue flowers) found in the Shola forests of Nilgiri hills.
• Nilgiri Hills are known as the Blue Mountains.
• Palani hills- Palani hills is a range of mountains that lie in the states of Kerala and Tamil Nadu.
• The hill is an eastward extension of the Western Ghats, which aligns with the west coast of India.
• Annamalai hills- The highest hill is Annamalai, which has a height (2,695 meters).
• These hills are the joint place of the Eastern and Western Ghats and are oriented towards the northwest and south-East.
• It is also called Elephant Mountains.

• Chhau of Mayurbhanj is a war-related dance.
• It originated from the forests of Mayurbhanj(a district in Odisha) in the 18th century.
• The status of a martial art form was given to it in the 19th century.

World's longest glass bridge that was opened for the public on December 24, 2017, is located in Hebei, China.

• It is 488-meter long glass footpath.
• The bridge is designed to hold 3,000 people.

Maha Chakri Sirindhorn is a recipient of first World Sanskrit Award.

• Born in 1955, she is the Princess of Thailand.
• She was honoured with this award for her contribution towards the promotion of languages for the year 2015.
• She is a well-known educator and scholar of Sanskrit and Pali.
• World Sanskrit Award was instituted by the Indian Council for Cultural Relations (ICCR).

The correct answer is option 1 i.e Shaanxi.

• Shaanxi has the largest production of coal in China.
• China ranks first among the biggest producer of coal in the world in 2018.
• India ranks second among the biggest producer of coal in the world in 2018.

Concepts:

• The nucleus of an atom is positively charged.
• It comprises of neutrons and protons.
• Rutherford is known for his Alpha Scattering Experiment.
• So, cathode rays have both mass and charge.

According to Rutherford the radius of the nucleus is about 10⁵ times lesser than the radius of the atom.

Additional Information 

John Dalton

• raised the atomic theory that acted as an explanation of the following two laws.

Law of conservation of mass –

• According to the law, mass can neither be destroyed nor created in any chemical reaction.

Law of constant proportion/ definite proportion –

• The laws state that in a chemical substance, the elements are always present in certain proportions by mass.
• For example:
• Oxygen & Hydrogen are present in water in a ratio of 8:1.
• So we will obtain 1g of hydrogen and 8g of oxygen if we decompose 9g of water.

Atom: 

• An atom is the smallest invisible unit of matter that constitutes a chemical element.
• Every plasma, solid, gas & liquid, is composed of ionized or neutral atoms.
• Around 100 picometers across, atoms are extremely small.
• Atomic theory: 
• John Dalton discovered the atomic theory.
• As per the theory, all matter whether it is a mixture, compound, or element, consists of invisible particles called ‘atoms’.

Ionic compounds have a high boiling point, have a high melting point and conduct electricity in solution.

• The compounds which are made up of ions are called as ionic compounds.
• Atoms lose or gain electrons and develop a net positive or negative charge to form an ion.

Speaker of Lok Sabha is the principal spokesman of the Lok Sabha.

• He/she is the presiding officer of the Lok Sabha who serves for a period of five years.
• He/she is chosen from among the members of the Lok Sabha.
• SumitraMahajan of the BharatiyaJanata Party is the current Lok Sabha Speaker.

The correct answer is option 1 i.e Question hour.

• In India, the first hour of every Parliamentary sitting is allotted for Question Hour.
• In this hour, the Members of the Parliament raise questions related to the activity of the Administration.

• Zero hour
• Zero Hour is a 30 minute's session wherein a member gets three minutes to raise the issue.
• Moreover, a member is allowed to make only one Zero Hour request during a week.
• Unlike the Question Hour, it is not mentioned in the Rules of Procedure.

• The large biomolecules consisting of one or more long chains of amino acid residues is called as Protein.
• A biomolecule consisting of carbon, hydrogen and oxygen atoms with an atom ratio of the hydrogen-oxygen atom as 2 : 1, is called as Carbohydrate.
• Also known as triglycerides, Fats are esters of three fatty acid chains and the alcohol glycerol.

Additional Information

Proteins

• The Proteins is a Polypeptide bond which is a sequence of amino acid.
• The end product of protein digestion is amino acids.
• Proteins are digested and broken down into amino acids with the help of enzymes.
• Amino acids are very small, they are able to be absorbed through the small intestine lining and into your bloodstream.

Carbohydrates

• Carbohydrates are the small repeating units of Monosaccharides.
• The end product of the digestion of Carbohydrates is Monosaccharides.
• A monosaccharide is a simple sugar such as fructose or glucose.
• The monosaccharides are absorbed into the bloodstream and delivered to the liver.
• It is used for energy for cell functioning.

Nucleic acids

• A nucleic acid is an organic compound such as DNA or RNA that is built of small units called nucleotides.
• Many nucleotides bind together to form a chain called a polynucleotide.
• The nucleic acid DNA (deoxyribonucleic acid) consists of two polynucleotide chains.
• The nucleic acid RNA (ribonucleic acid) consists of just one polynucleotide chain.
• The products of digestion of nucleic acid are pentose sugars, nitrogenous bases and phosphate ions.
• These products are transported by carriers across the villus epithelium and then enters into bloodstreams.

Lipids

• A lipid is an organic compound such as fat or oil.
• Organisms use lipids to store energy.
• Lipids consist of repeating units called fatty acids.
• The products of digestion of Lipids are Fatty acid and glycerol.