SSC CHSL Tier-1 2021: Official Paper (Held On : 27 May 2022 Shift 3) (Previous Year Paper)

The correct answer is 'indulging'.

Key Points

• Let's take a look at the options:

• Thus, the correct answer is option 4.

Correct sentence: A student indulging in ragging can be expelled from the institution.

Hinglish

• 'Avoiding' means टालना or बचना
• For example: "राम श्याम से मिलने से बच रहा था।"
• (Ram was avoiding meeting Shyam.)
• 'Curbing' means रोकना or अवरोध करना
• For example: "हमें प्रदूषण को रोकने के उपाय करने होंगे।"
• (We have to curb pollution.)
• 'Contrasting' means तुलना करना or विपरीतता दिखाना
• For example: "सफेद रंग की दीवार पर काली चित्रकारी एक उत्कृष्ट विपरीतता दिखा रही है।"
• (The black artwork on the white wall is showing a great contrast.)
• 'Indulging' means लिप्त होना or मजे करना
• For example: "मीना अपने छुट्टियों में पढ़ाई में मजे कर रही है।" (Meena is indulging in her studies during the holidays.)

The correct answer is 'The research team added four grams of sodium chloride to the mixture.'

Key Points 

• The given sentence is the example of an passive voice of simple past tense.
• Structure:
• Subject+ the second form of verb + object (Active voice)
• Example: She taught maths.
• Object+ is/am/are+ the third form of verb+ by subject (Passive voice)
• Example: Maths was taught by her.
• From the above structure: The research team (object turned as subject) + added (V2) + four grams of sodium chloride to the mixture(subject as an object)
• Thus, from the above, it is clear that the correct answer is option 3.

 Additional Information

• Simple past tense: It express an action i.e. started in past, finished in past and has no relation with present.

The correct answer is 'nautrality'.

Key Points

• nautrality: There is no such word in the dictionary, the correct word is neutrality which means the state of not supporting or helping either side in a conflict, disagreement, etc.; impartiality.
• satire: the use of humor, irony, exaggeration, or ridicule to expose and criticize people's stupidity or vices, particularly in the context of contemporary politics and other topical issues.
• Augustan: connected with or occurring during the reign of the Roman emperor Augustus.
• partisanship: prejudice in favor of a particular cause; bias.
• Thus, from above we can say that, from the given options only option 1 is spelt incorrectly.
• Therefore, the correct answer is option 1.

The correct answer is 'c, d, a, b'.

Key Points

• Statement c will come first as it contains the subject of the sentence 'Nick Vujicic'.
• Statement d will follow statement c as the phrasal verb 'prevented from' takes a gerund after it.
• Statement a will follow statement d as it gives the contrast to what is said in statement c and statement d.
• Statement b will come last.

The final sequence will be: 

• c) Nick Vujicic was prevented from
• d) attending mainstream middle schools.
• a) However, through sheer grit and determination
• b) Nick was able to get admission to a high school

Therefore, the correct answer is option 4.

The correct answer is 'the football', i.e. the error lies in this part of the sentence.

Key Points

• The error lies in the usage of the article 'the'.
• An article describes a noun as specific or general.
• Article 'the' is a definitive article that comes before a noun to describe it as specific or particular.
• Example: Please give me the blue hammer.
• In the above example article 'the' is specifying a particular type of hammer whose colour is blue.
• But, in the given sentence noun football isn't specific, therefore, the usage of the article is superfluous here.
• Thus, the correct answer is option 3.

Correct sentence: Ronaldo is a famous player of football.

The correct answer is 'Believer'.

Key Points

• Let's take a look at the meaning of the given word and its marked answer:
• Sceptic: a person inclined to question or doubt accepted opinions.
• Example: But he now has to convince sceptics that he has a serious plan.
• Believer: a person who believes that a specified thing is effective, proper, or desirable.
• Example: I made no secret of the fact that I was not a believer.
• Thus, from the above-given explanation, the correct answer is option 2.

Additional Information

• Doubter: a person who questions or lacks faith in something; a skeptic.
• Disbeliever: a person who refuses to believe something or who lacks religious faith.
• Receiver: a person who gets or accepts something that has been sent or given to them.

The correct answer is 'comfortable'.

Key Points

• Let's take a look at the meaning of the given word and the marked answer: 
• Flummoxed: bewildered or perplexed.
• Example: No wonder Josef was feeling a bit flummoxed.
• Comfortable: giving comfort or physical relief.
• Example: He was described as comfortable in the hospital last night.
• Thus, from the above-given explanation, the correct answer is option 3.

Additional Information 

• Happy: feeling or showing pleasure or contentment.
• Annoyed: slightly angry; irritated.
• Scared: fearful; frightened

The correct answer is 'Benefactor'.

Key Points

• Let's take a look at meaning of the options:
• Anarchist: a person who believes in or tries to bring about anarchy.
• Agnostic: a person who claims neither faith nor disbelief in God.
• Benefactor: a person who gives money or other help to a person or cause.
• Amateur: a person who engages in a pursuit, especially a sport, on an unpaid rather than a professional basis.
• From the above-given explanation, we can say that the correct answer is option 3.

The correct answer is 'complete'.

Key Points

• Let's take a look at meaning of the given options:
• settled: resolve or reach an agreement about (an argument or problem).
• Example: As far as we're concerned, the matter is settled.
• full: containing or holding as much or as many as possible; having no empty space.
• Example: It's healthy to eat when I'm hungry and to stop when I'm full.
• complete: (often used for emphasis) to the greatest extent or degree; total.
• Example: The rebels had taken complete control.
• entire: with no part left out; whole.
• Example: He had spent his entire life in China as a doctor.
• Thus, from above, it is clear that the correct answer is option 3.

**Correct sentence:**He was a complete stranger to me.

The correct answer is 'a day that is pleasantly noteworthy or memorable.'.

Key Points 

• 'Red letter day' is an idiom that means a day that is pleasantly noteworthy or memorable.
• Example: The day I first set foot in America was a red-letter day for me.
• From the given options, only option 1 fits the meaning.

Thus, the correct answer is option 1.​

Additional Information 

• Rose day - Refers to a day celebrated in some cultures where people exchange roses, often associated with Valentine's Day.
• Holiday - A day of festivity or recreation when no work is done.
• Birthday - The anniversary of the day on which a person was born.

The correct answer is 'extinct'. 

Key Points

• Let's take a look at the given word and the marked option:
• Extant: (especially of a document) still in existence; surviving.
• Example: Two fourteenth-century manuscripts of this text are still extant.
• Extinct: (of a species, family, or another group of animals or plants) having no living members; no longer in existence.
• Example: It is 250 years since the wolf became extinct in Britain.
• Thus, from above, we can say that the correct answer is option 2.

Additional Information

• Negotiate: obtain or bring about by discussion.
• Drool: make an excessive and obvious show of pleasure or desire.
• Persist: continue firmly or obstinately in an opinion or a course of action in spite of difficulty, opposition, or failure.

The correct answer is 'Elina is'.

Key Points

• Let's look at the keyword 'since yesterday'.
• It expresses an action that started in past and still continues.
• To express it present perfect continuous tense is used. It is used in a sentence to indicate an action that started in the recent past and is still continuing in the present.
• Structure:
• Subject+ has + been + The -ing form of verb.
• Example:
• It has been raining since morning.
• Thus, the correct answer is option 3 which means that it is the part of the sentence that contains an error.
• Therefore, 'is' needs to be replaced with 'has been'.

Correct sentence: Elina has been travelling since yesterday.

The correct answer is 'Previlege'.

Key Points 

• Discipline: the practice of training people to obey rules or a code of behavior, using punishment to correct disobedience.
• Conscious: aware of and responding to one's surroundings; awake.
• Previlege: There is no such word in the dictionary, the correct word is Privilege which means a special right, advantage, or immunity granted or available only to a particular person or group.
• Believe: accept (something) as true; feel sure of the truth of.
• Thus, from above we can say that, from the given options only option 3 is spelt incorrectly.
• Therefore, the correct answer is option 3.

The correct answer is 'Philanthropy'.

Key Points 

• Let's understand the meaning of the four given options:
• Philology: the branch of knowledge that deals with the structure, historical development, and relationships of a language or languages.
• Philanthropy: the desire to promote the welfare of others, expressed especially by the generous donation of money to good causes.
• Phylactery: a small leather box containing Hebrew texts on vellum, worn by Jewish men at morning prayer as a reminder to keep the law.
• Philosophy: the study of the fundamental nature of knowledge, reality, and existence, especially when considered as an academic discipline.
• From the above given meaning of all the four options, we are sure that the one-word substitute for the given group of words is Philanthropy.

Thus, the correct answer is option 2.

The correct answer is 'Beethoven is known to be a prodigious musician of all times.'

Key Points

• In all the given option, the spelling of the word 'prodigious' is incorrectly spelled. Only in option 1, it is correctly spelled.
• prodigious: remarkably or impressively great in extent, size, or degree.
• Thus, the correct answer is option 1.

The correct answer is 'Understand something that is not said outright'.

Key Points 

• 'Read between the lines' is an idiom which means to look for or discover a meaning that is implied rather than explicitly stated.
• Example: Reading between the lines, I think Clare needs money.
• From the given options, only option 4 fits the meaning.
• Thus, the correct answer is option 4.

The correct answer is 'were playing in the garden'.

Key Points

• Frolicking: (of an animal or person) play and move about cheerfully, excitedly, or energetically.
• Playing: engage in activity for enjoyment and recreation rather than a serious or practical purpose.
• Gardens and parks are for recreational activities, therefore, the most suitable word for them is 'playing'.
• Thus, the correct answer is option 3.

correct sentence: Reema and Aasha were playing in the garden.

The correct answer is 'Great disappointment'.

Key Points  

• 'Kick in the teeth' is an idiom that means something that is very shocking and disappointing.
• Example: Losing that game was a real kick in the teeth.
• From the given options, only option 1 fits the meaning.
• Thus, the correct answer is option 1.

The correct answer is 'Speed'.

Key Points

• Let's take a look at the given word and the marked option:
• Pace: consistent and continuous speed in walking, running or moving.
• Example:** Many people were not satisfied with the pace of change.
• Speed: the rate at which someone or something is able to move or operate.
• Example: He drove off at high speed.
• Thus from above, we can say that the correct answer is option 4.

Additional Information

• Target: a person, object, or place selected as the aim of an attack.
• Corner: a place or angle where two or more sides or edges meet.
• Angle: the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

The correct answer is 'Students are taught by my father.'

Key Points

• The given sentence is an example of an active voice of simple present tense.
• Structure:
• Subject+ the first form of verb (s/es)+ object (Active voice)
• Example: She teaches maths.
• Object+ is/am/are+ the third form of verb+ by subject (Passive voice)
• Example: Maths is taught by her.
• From the above structure : Students (object in active became as subject in passive) + are + taught(V3) + by + my father(Subject in active ).
• Thus, from the above, it is clear that the correct answer is option 3.

Additional Information

• Simple present tense: We use the simple present tense when an action is happening right now, or when it happens regularly

The correct answer is 'established'.

Key Points

• Let's take a look at the keyword 'In April 1945' which suggests that it is talking about past action which is finished in past thus, the tense will be used to express it, is simple past tense.
• Simple past tense: It represents an action which started in past, finishes in past, and has no relation to the future.
• Structure:
• Subject+ second form of the verb
• He went home yesterday.
• Thus, the correct answer is option 2.

The correct answer is 'convene'.

Key Points

• Let's take a look at the meaning of the given options:
• Sit: adopt or be in a position in which one's weight is supported by one's buttocks rather than one's feet and one's back is upright.
• Collect: bring or gather together (things, typically when scattered or widespread).
• Convene: come or bring together for a meeting or activity; assemble.
• Disperse: distribute or spread over a wide area.
• Thus, from above, we can say that the correct answer is option 3.

The correct answer is 'drew up'.

Key Points

• Let's take a look at the meaning of the options:
• drew off: remove, withdraw.
• drew down: to deplete by using or spending.
• drew up: to prepare a draft or version of draw-up plans.
• drew away: to move away from a person or place.
• Thus, the correct answer is option 3.

The correct answer is 'between'.

Key Points

• Let's take a look at the phrase '_______ 19 June and 22 July 1946.'
• To show the relationship between two things preposition 'between' is used generally with 'and'.
• Example: Do not call me between 2 pm and 4 pm, I shall be teaching.
• ​From the given example, we are clear that the most appropriate preposition from the given options is 'between'.
• Thus, the correct answer is option 1.

Additional Information

• Preposition: a word governing, and usually preceding, a noun or pronoun and expressing a relation to another word or element in the clause.

The correct answer is 'adopted'.

Key Points

• Let's take a look at the meaning of the given options:
• adapted: make (something) suitable for a new use or purpose; modify.
• adopted: formally approve or accept
• maintained: cause or enable (a condition or state of affairs) to continue.
• revoked: put an end to the validity or operation of (a decree, decision, or promise).
• Thus, from above, we can say that the correct answer is option 2.

The applied logic is:

(First term × Second term) ÷ 2 = Third term

First row : 24, 9, 108

(24 × 9) ÷ 2 = 108

216 ÷ 2 = 108

108 = 108

Second row : 38, 5, 95

(38 × 5) ÷ 2 = 95

190 ÷ 2 = 95

95 = 95 

That is (11+3=14, FROM FIRST ROW)

Third row : 12, 17, ?

(12 × 17) ÷ 2 = ?

204 ÷ 2 = ?

102 = Answer

Hence the correct answer is option 4)

We solve the given equation using BODMAS rule:

14 * 11 * 22 * 56 * 8

We apply each option:

Option 1)+, −, =, ×

14 + 11 - 22 = 56 × 8

14 + 11 - 22 = 448

25 - 22 = 448

3 ≠ 448

Option 2)−, ×, =, +

14 - 11 × 22 = 56 + 8

14 - 242 = 56 + 8

14 - 242 = 64

-228 ≠ 64

Option 3) +, +, =, −

14 + 11 + 22 = 56 - 8

47 = 56 - 8

47 ≠ 48

Option 4)×, ÷, =, ÷

14 × 11 ÷ 22 = 56 ÷ 8

14 × 0.5 = 7

7=7

Hence the correct answer is option4)

The pattern used in the given series is:

(First term × 6) - 7 = Second term

Let's apply the pattern on the given series:

24 : 137 : : 14 : ? : : 18 : 101

(24 × 6) - 7 = 137

144 - 7 = 137

137 = 137

24 : 137 : : 14 : ? : : 18 : 101

(18 × 6) - 7 = 101

108 - 7 = 101

101 = 101

24 : 137 : : 14 : ? : : 18 : 101

(14 × 6) - 7 = ?

84 - 7 = ?

77 = Answer

Hence the correct answer is option 4)

lets check each option by interchanging the numbers and by using BODMAS RULE,

82 AND 24

24 – 5 + (82 ÷ 6) + 17 + (5 × 8)

24 - 5 + 13.66+17+40

94.66-5

92.66

6 and 8 

82 – 5 + (24 ÷ 8) + 17 + (5 × 6) = 127

LHS:

82 - 5 + 3 + 17 + 30

132 - 5

127

5 AND 17

82 – 17+ (24 ÷ 6) + 5 + (17 × 8) = 127

82 - 17 + 4 + 5 + 136

227 - 17

210

5 and 8

82 – 8 + (24 ÷ 6) + 17 + (8× 5) = 127

82 - 8 + 4 + 17 + 40

143 - 8

135

Hence, the correct option is 2.

The pattern used in the given series is:

  Second and sixth alphabets are interchanged.

and 

Similarly,

Hence the correct answer is option 1)

The pattern followed is:

 Sum of each digit : The sum

Let's apply on each options:

Option 1)537:15

5 + 3 + 7 = 15

15 = 15 

Option 2)917:17

9 + 1 + 7 = 17

17 = 17 

Option 3) 459:19

4 + 5 + 9 = 18

19 ≠ 18 

Option 4)673:16

6 + 7 + 3 = 16

16 = 16 

So, 459:19 is the odd one.

Hence the correct answer is option 3)

The positional values of the English alphabet is as follows:

The pattern followed here is : Each letter of the given word is coded as its previous as well as following letter.

• 'MUSIC' is written as ‘LNTVRTHJBD’

• 'VIOLIN' is written as 'UWHJNPKMHJMO’

Similarly, 'CHORD' will be written as:

Hence, 'option 2' is the correct answer.

According to the English alphabets and their positional values: 

The pattern followed in the given series is:

• First alphabet is decreased by 5 positional values.
• Second alphabet is increased by 9 positional values.
• Third alphabet is increased by 13 positional values.
• Fourth alphabet is decreased by 9 positional values.

​                

Hence the correct answer is option 1)

There was no leap year in 2010 and 2011 so the on 30^th January 2011 there will be a shift by only one day.

That is on 30^th January 2011 it will be Sunday.

Total number of days from 30^th January 2011 to 01 March 2011:

1 + 28 + 1 = 30 days = 2 odd days 

So, Sunday + 2 = Tuesday

Hence the correct answer is option 2)

When we unfold the paper step by step we get:

Now from the given options, the pattern matches with option 1) and rest of the options are unsymmetrical.

Hence the correct answer is option 1)

Here, we are given a image and we need to find out the number of triangles.

So, first we will count all the small triangles as shown below:

 

Thus, we got 6 triangles.

Next, we will can see that, triangle DOC and COB are 2 triangles.

Also, DCB and DAB are two big triangles.

Thus, we have a total of 6 + 2 + 2 = 10 triangles.

Hence, there are 10 triangles.

The figure is given below:

The shaded portion is the embedded figure.

Hence, 'option 4' is the correct answer.

Here, can see that we are given two dices each having one face same i.e. 6. 

We will write the numbers in clockwise direction starting from the common face, then the positional number will be the opposite face of that number.

So,

1^st dice: 6 - 5 - 4

2^nd dice: 6 - 2 - 3

Also, we can see both the dices have number 6 on the same side and the remaining numbers are shown on both the dices except number 1.

Hence, number 1 will be on the face opposite to the one showing number 6.

Here, we will substitute each option to check which is the correct answer.

First, 

41 $\times$ 3 $\times$ 53 $\times$ 48 $\times$ 3 $\times$ 18 $\times$ 5 $\times$ 36

Substitute option 1, we will get,

$\Rightarrow$ 41 - 3 $\times$ 53 -  48 = 3 + 18 $\times$ 5 - 36

Using BODMAS rule, we will get,

$\Rightarrow$ 41 - 3 $\times$ 53 -  48 = 3 + 18 $\times$ 5 - 36

$\Rightarrow$ 41 - 159 - 48 = 3 + 90 - 36

$\Rightarrow$ -166 = -107

​$\Rightarrow$ 166 = 107, which is not possible and so, option 1 is not possible.​

 

Next, 

41 $\times$ 3 $\times$ 53 $\times$ 48 $\times$ 3 $\times$ 18 $\times$ 5 $\times$ 36

Substitute option 2, we will get,

$\Rightarrow$ 41 - 3 = 53 +  48 $\times$ 3 - 18 $\div$ 5 + 36

Using BODMAS rule, we will get,

$\Rightarrow$ 38 = 53 + 144 - 3.6 + 36

$\Rightarrow$ 38 = 229.4, which is not possible and so, option 2 is not possible.​

 

Again, 

41 $\times$ 3 $\times$ 53 $\times$ 48 $\times$ 3 $\times$ 18 $\times$ 5 $\times$ 36

Substitute option 3, we will get,

$\Rightarrow$ 41 $\times$ 3 - 53 = 48 $\div$ 3 + 18 $\times$ 5 - 36

Using BODMAS rule, we will get,

$\Rightarrow$ 123 - 53 = 16 + 90 - 36 

$\Rightarrow$ 70 = 70, which is possible and so, option 3 is the correct option.​

 

Last, 

41 $\times$ 3 $\times$ 53 $\times$ 48 $\times$ 3 $\times$ 18 $\times$ 5 $\times$ 36

Substitute option 4, we will get,

$\Rightarrow$ 41 + 3 - 53 $\times$ 48 + 3 = 18 $\times$ 5 ​​$\div$ 36​

Using BODMAS rule, we will get,

$\Rightarrow$ 41 + 3 - 2544 + 3 = 18 ​​$\times$ 0.1388

$\Rightarrow$- 2497 = 2.5, which is not possible and so, option 4 is not possible.​

Hence, the correct option is 3.

Here, we will draw a table with the year and total number of days in it as shown below:

 

 

So, 22^nd Jan 2011 to 22^nd Jan 2015 = Saturday + 5 odd days = Thursday.

Thus, next day will be Friday i.e. on 23^rd Jan 2015.

Hence, the correct answer is Friday.

Here, we need to find a pattern used to find the missing number.

Logic:  Each term divided by 2 and then the answer is added by 2 to get the final answer.

 

Hence, the answer of the missing number is 159.

Here, we are given two dices and two faces of both the dices are same. So, we will rotate the second dice so that it is same as the first dice. 

So, we have:

From that, we can say that face C is opposite to face B.

Thus, the letter C will be on the face opposite to the one showing B.

 

Hence, the correct answer is 'option 3'.

Here, we are given a pattern and we need to find the missing word using that pattern.

For the word Centre :  Central we have: 

As we can see that, both the words centre and central have the same meaning.

For the word Charater : Characteristic we have:

Also both the words character and characteristic have the same meaning. This means they are synonyms of each other. 

Similarly for the word Ambition : ? we have:

Thus, for the given word ambition we can see from the options that the word ambitious is the one having the same meaning.

Hence, the word 'ambitious' is related to the fifth word.

Here, we will the alphabet and their positions as below:

 

The logic here follows is as below:

 

so, the missing letter cluster of the given series will be 'JXCC'. 

Hence, the correct answer is JXCC**'.**

Here, we are given a paper which is folded two times and then some designs are made on it.

We are given the figure as below

      

    Figure 1                 Figure 2

As. we open the first fold we get the mirror image of the design as shown in the figure 2.

Next we will open the last fold, we will get the same design as in the 1^st half of it as shown below:

Thus, we will get the final output as:

Hence, the correct answer is option 1.

Here, we need to find the pattern used to get the missing number.

The logic here is:

Hence, the missing number is 559.

Here, this follows a pattern and we need to find the word.

The logic here is:

  

and 

 

Thus, for the given word the code language of EXPERT is:

Hence, the word EXPERT be written in that language as 'TREPXE'.

Here, we are given with an equation as below:

(48 D 12) C 71 A 14 B (96 D 6) A 3 B 12 = ?

Next, we will substitute the signs in place of letters given as ‘A’ denotes ‘+’, ‘B’ denotes ‘×’, ‘C’ denotes ‘–’ and ‘D’ denotes ‘÷, we will get,

 = (48 $\div$ 12) - 71 + 14 $\times$ (96 $\div$ 6) + 3 $\times$ 12 

Using BODMAS rule, we will get,

= (4) - 71 + 14 $\times$ (16) + 36

Opening the brackets, we will get,

= 4 - 71 + 14 $\times$ 16 + 36

= - 67 + 224 + 36

= 193

Hence, the correct answer is  193.

Here, we are given some statements and from that we need to find out if the given conclusions are true or not.

So, from 1^st statement: All plants are herbs, we get the figure: 

Also, from 2^nd statement: Some herbs are trees, we get the figure: 

And, from 3^rd statement: All trees are shrubs, we get the figure:

Thus, combining all the three statements, we will get,

Next, we will check the conclusion from the given figure

I. Some shrubs are plants: This is not possible.

II. Some shrubs are herbs: This is true as we can see that some herbs are trees and all trees are shrubs. So this is true conclusion.

III. Some trees are plants: All plants are herbs and some herbs are trees. So, some trees cannot be plants and thus this is not true conclusion. 

Hence, only conclusion 2 is true.

Here, we need to find the pattern used to get the missing number.

As, we can see 8³ = 512 + 4 = 516

Next, 63 = 216 + 3 = 219

So, we can say the pattern followed here is that, they are taking the cube of the given number and then it is added by half of the given number.

Thus, for the given number 4, we will take cube of 4 i.e. 64 and then add half of 4 i.e. 2 to it to get the final answer as shown below:

4³ = 64 + 2 = 66

Hence, the final answer is 66.

Given:

The table below shows the number of cakes sold by six different bakeries in a town on five different days of particular week.

 

Calculations:

According to the question,

The highest number of the cakes sold by bakery F in a single day = 308 cakes 

The lowest numbers of the cakes sold by bakery B in a single day = 205 cakes

Now the difference between sales of Bakery F and Bakery B = 308 - 205 = 103 cakes

∴ The difference between sales of Bakery F and Bakery B in a single day is 103 cakes.

Alternate Method

Dividend = Divisor x Quotient + Remainder 

Let the quotient be q 

Divisor = 7, Remainder = 3

Dividend = Divisor x Quotient + Remainder

⇒ N = 7q + 3 

⇒ N + 4 = 7q + 7 which is divisible by 7

∴ The correct answer is option 3

Shortcut TrickHit and trial Method

Given:

A positive integer N is divided by 7, the remainder is 3

Calculation:

Let k be any integer.

⇒ n = 7k + 3

By trial and error method

Option 1,

⇒ n + 2 = 7k + 3 + 2

⇒ n + 2 = 7k + 5

When n + 2 is divided by 7, the remainder is 5.

Option 2,

⇒ n + 1 = 7k + 3 + 1

⇒ n + 1 = 7k + 4

When n + 1 is divided by 7, the remainder is 4.

Option 3,

⇒ n + 3 = 7k + 3 + 3

⇒ n + 3 = 7k + 6

When n + 3 is divided by 7, the remainder is 6

Option 4,

⇒ n + 4 = 7k + 3 + 4

⇒ n + 7 = 7k + 7

When n + 5 is divided by 7, the remainder is 0.

∴ n + 4 yields remainder 0.

Given:

x2 - 8x + 1 = 0

Formula used:

(a + b)² = a² + b² + 2ab

Calculations:

x2 - 8x + 1 = 0

⇒ x2 + 1 = 8x (dividing x on both sides)

⇒ x + 1/x = 8 (squaring both sides)

⇒ (x + 1/x)² = 8² 

⇒ x2 + 2 + 1/x2 = 64

⇒ x² + 1/x² = 62 (squaring both sides)

⇒ (x2)2 + (1/x2)² = (62)² 

⇒ x4 + 2 + 1/x4 = 3844

⇒ x4 + 1/x4 = 3842

⇒ x8 + 1 = 3842x4 

⇒ x8 - 3842x4 + 1 = 0

∴ The value of given equation is 0.

Shortcut TrickIf $x + \frac{1}{x}$ = a, then $x^2 + \frac{1}{x^2}$ = a² - 2

Here, we have x2 - 8x + 1 = 0

⇒ $x + \frac{1}{x}$ = 8 

⇒ $x^2 + \frac{1}{x^2}$ = 8²  - 2 = 64 - 2 = 62

⇒ $x^4 + \frac{1}{x^4}$ = (62)² - 2 

⇒ $x^4 + \frac{1}{x^4}$ = 3844 - 2 = 3842

⇒ x8 + 1 = 3842x4 

⇒ x8 - 3842x4 + 1 = 0

Given:

Growth Rate = 5% per annum

Time Period = 2 years

Present Population = 16000

Concept used:

Final Population = Initial Population(1 + R%)^T 

Calculations:

Final Population = 16000(1 + 5%)² 

⇒ 16000(1 + 0.05)2 

⇒ 16000 × (1.05)2 

⇒ 16000 × 1.1025 = 17640

∴ The population of the town after 2 years will be 17640.

Additional InformationIn this question, we have used the formula for the Population of the town, 

Do not get confused with the formula of compound interest. 

Here the population is increasing, which is why we took  the + sign in the bracket, 

If the population decreases, then we will use the - sign in the bracket.

Given:

The price of a TV has been reduced by 20%

Calculation:

Let the original price be Rs. 100

Reducing price = 100 - 20 = Rs. 80

For getting Rs. 100

Rs. 80 is increased by = Rs. 20 

Rs. 1 is increased by = 20/80

Rs. 100 is increased by = Rs (20/80) × 100 = 25% 

∴ The new price must be increased by 25%.

Shortcut TrickHere, 20% = 1/5

Ratio of original to reduced price = 5 : 4

To restore the original price, we have ratio = 4 : 5

So, 1 unit increase out of 4 units

⇒ 1/4 = 25% increase

Given:

Discount (D) on the Marked Price (MP) of an article = 20%

Selling Price (SP) of the article = Rs. 1380

Concept used:

Selling Price = Market Price - Discount

Calculations:

Let the market price 'x'

Discount on market price = 20%

Discount = ( x × 20)/100

⇒ 20x/100

⇒ SP = MP - D

⇒ x - (20x/100) = 80x/100

Now according to the question:

⇒ 80x/100 = 1380

⇒ x = 138000/80 = Rs. 1725 

∴ The marked price of the article is Rs. 1725.

Shortcut TrickCalculation:

Discount = 20% = 1/5

M.P : S.P = 5 : 4

⇒ 4 units = Rs. 1380

⇒ 1unit = Rs. 345

⇒ 5 units = 345 × 5 = Rs. 1725

∴ The marked price of the article is Rs. 1725.

Given:

The difference between the Compound (CI) and the Simple interests (SI) is ₹432.

Time (T) = 3 years

The Rate (R) of interest = 20% per annum

Concept used:

Compound Interest = P(1 + R%)^T 

Simple Interest = (P × R × T)/100

Calculations:

According to the question,

CI - SI = Rs. 432

⇒ 432 = [P(1 + 20%)3 - 1] - [(P × 20 × 3)/100]

⇒ 432 = P[(1 + 20%)3 - 1] - P[(20 × 3)/100]

⇒ 432 = P[(1 + 0.20)3] - P[6/10]

⇒ 432 = P[(1.20)3 - 1] - P[3/5]

⇒ 432 = P[1.728 - 1 - 3/5]

⇒ 432 = P[(3.64 - 3)/5]

⇒ 432 = P[0.64/5]

⇒ P = 432/0.128

⇒ P = Rs. 3375

∴ The principal lent was Rs. 3375.

Shortcut Trick20% = 20/100 = 1/5

Time = 3 years

Hence assume that the Principle is 5³ = 125 Rs. 

Simple Interest for 3 years = 75 Rs.

Compound Interest for 3 years = 91 Rs.

⇒ 91 - 75 = 16 

Given that, 

⇒ 16 = 432 

⇒ 1 = 432/16 

The principle, 125 

⇒ 125 × 432/16 = 3375 Rs.

 ∴ The principal lent was Rs. 3375.

Given:

Candidate A received 60% of the total valid votes 

Total invalid votes = 20% of the votes 

Total votes = 16250

Calculations:

According to the question,

Total Valid votes = Total votes (1  - 20%)

⇒ Valid votes = 16250 (1 - 0.20)

⇒ Valid votes = 16250 (0.80) = 13000 votes

Total valid votes of A = 60% of  valid votes

⇒ A = 0.60 × 13000 = 7800 votes

Now total valid votes of B = Total valid votes  - Valid cotes of A 

⇒ B = 13000 - 7800 = 5200 votes 

∴ Candidate B recived 5200 valid votes.

Shortcut TrickLet total votes = 100 units

⇒ 100 units = 16250

⇒ 32 units = (16250/100) × 32 = 5200

Given:

Radius of circle = 8 cm

Length of chord AB = 14 cm 

OM ⊥ AB which bisects AB at M. 

Concept used:

Pythagoras Theorem

⇒ (Hypotenuse)² =  (Perpendicular)² + (Base)²

Calculation:

According to the question,

AM = MB = 14/2 = 7 cm 

In ΔOAM, 

(OA)² = (OL)² + (AL)² 

⇒ (8)² = (OM)² + (7)² 

⇒ 64 = (OM)2 + 49

⇒ (OM)2 = 64 − 49 = 15 

⇒ OM = √15 cm 

∴ The length of OM is √15 cm.

Given:

56% of 4800 – {(9³ × 8) ÷ √6561} – 48% of (81 ÷ 8) = ?

Formula used:

BODMAS Rule

x% of y = (x ÷ 100) × y

Calculation:

? = 56% of 4800 – {(729 × 8) ÷ 81} – 48% of 10.125

⇒ ? = (56 × 48) – {5832 ÷ 81} – (48/100 × 10.125)

⇒ ? = 2688 – 72 – 4.86

⇒ ? = 2616 – 4.86

⇒ ? = 2611.14

∴ The correct answer is option (4).

Given:

A car covers a distance at a speed = 60 km/h

Returns to the starting point at a speed of 40 km/h.

Formula used:

Average speed = 2ab/(a + b)

a = Speed a object when it goes from A to B.

b = Speed of a object when it returns same place

Formula is only used when the distance travels by all the speed is equal.

Calculations:

Average speed = 2(60 × 40)/(60 + 40)

⇒ A = 2 × 2400/100

⇒ A = 4800/100 = 48 km/h

∴ The average speed of the car for the entire journey is 48km/h.

Given:

Concept used:

Percentage = Given value/Total value × 100

Here, Total value is 360° 

Calculations:

According to the question,

⇒ Angle of D = 5% of 360° 

⇒ D = 0.05 × 360° = 18° 

∴ The central angle for state D is 18°.

Shortcut Trick

Total work = LCM(12, 18) = 36 units.

Efficiencies: A = 3, B = 2.

Work done by A in 2 days = 3 × 2 = 6 units.

Work done by B = 36 − 6 = 30 units.

B's share = (Work by B ÷ Total Work) × Total Wage = (30 ÷ 36) × 2400 = ₹2,000.

∴ The correct answer is ₹2000.

Alternate Method

Given: A completes task in 12 days, B in 18 days. Total wage = ₹2,400. A leaves after 2 days.

Formula Used: Wage of a person = (Work done by the person ÷ Total work) × Total wage

⇒ Total work is the LCM of 12 and 18 = 36 units.

⇒ Efficiency of A = 36 ÷ 12 = 3 units/day.

⇒ Efficiency of B = 36 ÷ 18 = 2 units/day.

⇒ Since A worked for only 2 days, work done by A = 3 × 2 = 6 units.

⇒ B completed the remaining work, thus work done by B = 36 − 6 = 30 units.

⇒ Ratio of work done by A and B = 6 : 30 = 1 : 5.

⇒ B's share of wage = [5 ÷ (1 + 5)] × 2400

⇒ B's share = 5/6 × 2400 = 5 × 400 = ₹2,000.

∴ The correct answer is ₹2000.

Additional Information

Wage Distribution Rule

Wages are always distributed in the ratio of the work done by each individual, which is calculated as Efficiency × Time.

Efficiency and Wage

If all persons work for the same amount of time, the wages can be distributed directly in the ratio of their efficiencies.

Pipes and Cisterns Correlation

The concepts of Time and Work are identical to Pipes and Cisterns, where efficiency represents the rate of filling or emptying a tank.

Given:

Radius of the base of a cylinder (R) = 15 cm

Height (H) is 12 cm,

Radius of the base of right-circular cone (r) = 24 cm.

Formula used:

Volume of a cylinder = π × radius² × height 

Volume of a cone = (1/3) × π × r² × h

Calcultions:

According to the question,

A solid right-circular cylinder is melted and moulded into the solid right-circular cone then

Volume of cylinder = Volume of Cone

⇒ π × (R)² × H = (1/3) × π × r2 × h

⇒ (R)2 × H = (1/3) × r2 × h

⇒ h = ((15)2 × 12 × 3)/(24)² 

⇒ h = (225 × 36)/ 576

⇒ h = 8100/576 = 14.0625 cm

∴ The height of this cone is 14.0625 cm.

Given:

Profit = 12.5%

Discount = 10% 

Concept used:

Profit% = [(SP - CP)/CP] × 100

Calculations:

Let the Mark up Price be Rs. 100

According to the question,

Selling Price = Mark up Price (1 - D%/100)

⇒ SP = 100 (1 - 10%)

⇒ SP = 100(0.90) = 90 Rs.

Then Profit% = [(90 - CP)/CP] × 100

⇒ (12.5/100)CP = 90 - CP

⇒ CP (1 + 12.5/100) = 90

⇒ CP (112.5/100) = 90

⇒ CP = 9000/112.5 = Rs. 80

Now Profit% when SP = MP = Rs. 100

⇒ Profit% = [(100 - 80)/80] × 100

⇒ Profit% = [20/80] × 100

⇒ Profit% = 1/4 × 100 = 25%

∴ Profit percentage if the article is sold at the marked price is 25%.

Shortcut TrickProfit = 12.5% = 1/8

Ratio of C.P. to S.P. = 8 : 9       ----(1)

Again, Discount% = 10% = 1/10

Ratio of M.P. to S.P. = 10 : 9      ----(2)

Combining the ratio of equations (1) and (2), we get

Ratio of C.P. : S.P. : M.P. = 8 : 9 : 10

So, if the article is sold at M.P., then

Profit = 10 - 8 = 2 units

⇒ Profit % = 2/8 × 100 = 25%

Given:

an average speed of a train = 42 km/h, 

If average speed of a train = 14 km/h, it is late by 35 minutes.

Concept used:

Distance = Speed × Time

Calculations:

Let the time taken by train at speed 42km/h be T then 

Time taken by train at 14 km/h = T + 35 mins = T + 35/60 = T + 7/12

Now the distance of both journey is same then

42 × T = 14 × (T + 7/12)

⇒ 42T = 14 × (12T + 7)/12

⇒ 42T = 7 × (12T + 7)/6

⇒ 252T = 84T + 49

⇒ (252 - 84)T = 49

⇒ T = 49/168 = 7/24 h

Now the distance,

⇒ D = 42 × 7/24

⇒ D = 21 × 7/12

⇒ D = 147/12 = 12.25 km

∴ The length of the journey is 12.25 km.  

Shortcut TrickAs per the question,

The ratio of average speed ⇒ 42 : 14 = 3 : 1

Time ratio  ⇒ 1 : 3

Difference 2 Unit = 35/60

1 Unit = 7/24 

Now the distance,

⇒ D = 42 × 7/24 = 12.25 km

Given:

The first number (A) is one-third of the second number.

The second number (B) is 1.5 times of the third number.

The third number (C) is three times the fourth number (D).

If the average of the four numbers is 10

Calculations:

According to the question,

⇒ A = 1/3 B

⇒ B = 1.5 C

⇒ C = 3 × D

Then,

Average value = (A + B + C + D)/4

⇒ 10 = (B/3 + B + B/1.5 + B/4.5)/4

⇒ 40 = B(1/3 + 1 + 1/1.5 + 1/4.5)

⇒ 40 = B(1.5 + 4.5 + 3 + 1)/4.5

⇒ 40 × 4.5 = 10B

⇒ B = 180/10 = 18

∴ The largest of the number is 18.

Given:

144x2 - 36x + $\frac{9}{4}$ 

Formula used:

(a - b)² = a² + b² - 2ab

Calculations:

144x2 - 36x + 9/4

⇒ (12x)² - 2(12x)(3/2) + (3/2)² 

⇒ (12x - 3/2)2 

∴ The given equation can be expressed as the square of 12x - $\frac{3}{2}$.

Given:

A solid cylinder has a radius of 9 cm and a height of 25 cm. 

Formula used:

Total surface area of cylinder = 2 × π × r × (r + h)  

Curved surface area of cylinder = 2 × π × r × h

Where, r = radius

h = height

Calculations:

According to the question,

⇒ TSA = 2 × π × 9 × (9 + 25)

⇒ TSA = 2 × π × 9 × (9 + 25)

⇒ TSA = 18 × π × 34 = 612π

Now CSA

⇒ CSA = 2 × π × 9 × 25

⇒ CSA = 225 × 2 × π = 450π 

Now TSA : CSA

⇒ TSA : CSA = 612π : 450π

⇒ TSA : CSA = 612 : 450

⇒ TSA : CSA = 34 : 25

∴ The ratio of its total surface area to its curved surface area is 34 : 25.

Given:

18, 36 and 52

Calculations:

Let the fourth proportion be x

According to the question,

18 : 36 :: 52 : x

⇒ 18/36 = 52/x

⇒ x = (52 × 36)/18

⇒ x = 52 × 2 = 104

∴ The fourth proportion is 104.

Shortcut Trick

Apply compound angle formulas directly: sin A cos B − cos A sin B = sin(A − B) and cos C cos D − sin C sin D = cos(C + D).

Numerator = sin(67° − 37°) = sin 30°

Denominator = cos(13° + 17°) = cos 30°

Result = sin 30° / cos 30° = tan 30° = 1/√3

∴ The correct answer is 1/√3.

Alternate Method

Given:

Expression = (sin 67° cos 37° − sin 37° cos 67°) / (cos 13° cos 17° − sin 13° sin 17°)

Formulas Used:

1. sin(A − B) = sin A cos B − cos A sin B
2. cos(A + B) = cos A cos B − sin A sin B

Calculations:

⇒ Identify A = 67° and B = 37° in the numerator.

⇒ Numerator = sin(67° − 37°) = sin 30°

⇒ Identify C = 13° and D = 17° in the denominator.

⇒ Denominator = cos(13° + 17°) = cos 30°

⇒ Total Value = sin 30° / cos 30°

⇒ sin 30° = 1/2 and cos 30° = √3/2

⇒ Total Value = (1/2) / (√3/2) = 1/√3

∴ The correct answer is 1/√3.

Additional Information

Sine Addition/Subtraction Formulas

sin(A + B) = sin A cos B + cos A sin B and sin(A − B) = sin A cos B − cos A sin B.

Cosine Addition/Subtraction Formulas

cos(A + B) = cos A cos B − sin A sin B and cos(A − B) = cos A cos B + sin A sin B.

Tangent Values

tan 30° = 1/√3, tan 45° = 1, and tan 60° = √3.

Calculations:

According to the question,

Total hours = 24hours

Total hours spent in school = 30% of total hours

School = 30% × 24

School = 0.30 × 24 = 7.2 hours or 7 hours 12 minutes

∴ The student spend 7 hours 12 minutes per day in school.

Shortcut Trick

Volume of melted Sphere = Volume of cylindrical Wire ⇒ L = Volume of sphere ÷ Area of cross-section.

Radius of wire (r) = 15 mm = 1.5 cm.

L = (4/3 × π × R³) ÷ (π × r²)

L = (4/3 × 15³) ÷ 1.5² = 4500 ÷ 2.25 = 2000 cm

∴ The correct answer is 2000 cm.

Alternate Method

Given:

Radius of solid metallic sphere (R) = 15 cm

Radius of wire (r) = 15 mm = 1.5 cm

Formula Used:

Volume of Sphere = 4/3 × π × R³

Volume of Cylinder (Wire) = π × r² × L

Calculations:

Since the sphere is melted to form the uniform wire, their volumes must be equal.

⇒ Volume of Sphere = Volume of Wire

⇒ 4/3 × π × R³ = π × r² × L

⇒ 4/3 × 15³ = 1.5² × L

⇒ 4/3 × 3375 = 2.25 × L

⇒ 4500 = 2.25 × L

⇒ L = 4500 ÷ 2.25

⇒ L = 2000 cm

∴ The correct answer is 2000 cm.

Additional Information

Conservation of Volume

Whenever a solid metallic object is melted and recast into another geometric form, the total volume remains strictly constant assuming no material is lost in the process.

Volume of a Cylinder

A wire is typically considered a very long cylinder. The volume of a solid cylinder of radius r and length (or height) h is given by V = π × r² × h.

Volume of a Sphere

The total internal volume of a solid 3D sphere of given radius R is calculated using the formula V = 4/3 × π × R³.

Units Conversion

It is essential to convert all physical measurements to a common consistent unit before substituting them into equations. For linear length, 1 cm = 10 mm.

Given:

Mark up % = 25% of CP

Discount% = 12%

Concept used:

Profit% = [(SP - CP)/CP] × 100

Calculations:

Let the CP be Rs. 100 then MP = Rs. 125

⇒ SP = 125 (1 - 12%)

⇒ SP = 125 (1 - 0.12)

⇒ SP = 125 (0.88) = Rs. 110

Now Profit%

⇒ Profit% = [(110 - 100)/100] × 100

⇒ Profit% = [10/100] × 100

⇒ Profit% = 10%

∴ The percentage profit he makes is 10%.

Given:

  b2 - 4b - 1 = 0

Formula used:

(a - b)² = a² + b² - 2ab

Calculation:

According to the question,

⇒ b2 - 4b - 1 = 0

⇒ b2 - 1 = 4b

Divide both sides by b.

⇒ b - $\frac{1}{b}$ = 4

Hence, b - $\frac{1}{b}$ = 4

On squaring both sides, we get,

⇒ (b - $\frac{1}{b}$)² = (4)² 

⇒  b2 + ${1\over b^2}$ - 2 = 16 

⇒ b2 + ${1\over b^2}$ = 18

Now, 

⇒ b2 + ${1\over b^2}$ + 3b - $\frac{3}{b}$

⇒ (b2 + ${1\over b^2}$) + 3 (b - $\frac{1}{b}$)

⇒18 + 3 × 4

⇒18 + 12 = 30

Hence, the required value is 30.

 Shortcut Trick

Concept used:

If, $x-{1\over x}$ = p then,

$x^2+{1\over x^2}$ = p² + 2

Calculation:

According to the question,

⇒ b2 - 4b - 1 = 0

$\Rightarrow$ b2 - 1 = 4b

Divide both side by 'b'

$\Rightarrow$ b - $\frac{1}{b}$ = 4

Now,

⇒ b - $\frac{1}{b}$  = 4

⇒ b² + ${1\over b^2}$ = (4)² + 2

⇒ b2 + ${1\over b^2}$ = 18

Now,

⇒ b2 + ${1\over b^2}$ + 3b - $\frac{3}{b}$

⇒ (b2 + ${1\over b^2}$) + 3 (b - $\frac{1}{b}$) 

⇒ 18 + 3 × 4

⇒ 18 + 12 = 30

The correct answer is Kuchipudi.

Key Points

• Deepika Reddy is an acclaimed Kuchipudi dancer.
• She started her journey 50 years ago and she had her Rangapravesham in 1976.
• She has performed across the world, including at the Rashtrapati Bhavan, Sri Lankan parliament, Hiroshima in Japan, and France.
• She received the prestigious Sangeet Natak Akademi Award for her contribution to the Kuchipudi dance from President Ram Nath Kovind at Rashtrapati Bhavan.
• Deepika Reddy has been in the field of Kuchipudi for the past 47 years.
• She has relentlessly propagated this art form through her performances the world over and by training hundreds of students in her dance institute Deepanjali.

Additional Information

• Sujata Mohapatra is a popular Odissi dancer.
• She has mesmerized many people with her graceful moves and she was conferred with the prestigious Sangeet Natak Akademi Awards for 2017.
• She is a disciple and daughter-in-law of legendary Odissi guru Kelucharan Mohapatra.
• She is known for her strict adherence to the technicalities of the dance form and genuine expressions that leave the audience spell-bound.
• The award carries with it Rs 100,000, a ‘Tamra Patra’ and an ‘angavastram’.

Bharatanatyam

• Rama Vaidyanathan is a popular Bharatanatyam dancer.
• She is one of the directors of Ganesha Natyalaya, one of the best Bharatanatyam institutes in the country.
• She has toured the country and the world, performing and showcasing her art.
• She was selected for Sangeet Natak Akademi Award for the year 2017.

Manipuri

• L.N. Oinam Ongbi Dhoni Devi is a popular Manipuri dancer.
• ​President Ram Nath Kovind confers Sangeet Natak Akademi Award 2017 on Manipuri dancer L.N. Oinam Ongbi Dhoni Devi during a special investiture ceremony at Rashtrapati Bhawan.

The correct answer is Changing India.

Key PointsChanging India

• The book titled “Changing India” has been authored by former Prime Minister Dr. Manmohan Singh.
• In the book, the Congress leader narrated his journey from an economist to a politician and shared anecdotes from his life.
• It provides a comprehensive view of today’s rapidly changing India in a way that is both reader-friendly and scholarly, without requiring prior knowledge on the subject from its readers.
• It investigates Indian culture, politics, economics and technology, as well as population and environmental issues.
• Gender issues are also discussed throughout the book.
• The author provides a balanced picture of emerging India’s many triumphs, as well as its lingering problems and the ongoing battle for more inclusive growth.

Additional Information

A shot at history 

• "A Shot at History: My Obsessive Journey to Olympic Gold" is a 2011 autobiography of Indian 2008 Summer Olympics Gold medalist Abhinav Bindra.
• In this book, Bindra tells that only hunger for success and inner desire helps anyone to achieve his or her dreams.

Ace Against odd

• "Ace Against Odds" is the 2016 biography of the Indian professional tennis player Sania Mirza.
• The book is her official biography chronicling her journey to becoming one of India and the world's top female tennis players.

My Country My Life

• "My Country My Life" is an autobiographical book by L. K. Advani.
• He was an Indian politician who served as the Deputy Prime Minister of India from 2002 to 2004 and was the Leader of the Opposition in the 15^th Lok Sabha.
• The book was released on 19 March 2008 by Abdul Kalam, the eleventh President of India.

The correct answer is Atmakatha.

Key PointsAtmakatha

• Justice Anna Chandy was India’s first female judge and the first woman in the country to become a High court judge.
• She has been described as a ‘first-generation feminist’.
• She contested from Shree Mulam Popular Assembly and was elected for the term 1932-34.
• She became the first woman judge in the Indian district court in 1937.
• She was the 2^nd woman in the world who reached the high court judgeship in 1959.
• In 1971 the Malayala Manorama serialized her autobiography which was subsequently published in Thrissur by Carmel Books in 1973 under the title Atmakatha.

Additional Information Atmavrittanta

• Atmavrittanta, formally published as Manilal Nabhubhai Dwivedinu Atmavrittanta, is an autobiography written by Gujarati writer Manilal Nabhubhai Dwivedi.
• At the age of 28, Manilal decided to write his autobiography and maintain a diary of important events until the end of his life.
• Manilal handed over the manuscript of his autobiography to his trusted friend Anandshankar Dhruv before his death in 1898.

Majya Jalmachi Chittarkatha

• Maya Jalmachi Chittarkatha is an autobiography of Shantabai Kamble published in 1983.
• This is considered the first autobiographical narrative by a Dalit woman writer.
• This book shows the life of an Indian woman who was from the lower class of the caste.

Ente Katha

• Ente Kadha (My Story) is an autobiography written by Kamala Surayya (Madhavikutty) in the year 1973.
• She was motivated to write this as she became ill and thought will not survive.
• The book was controversial and outspoken and had her critics gunning her after it was published in 1973.