SSC CHSL Tier-1 2024: Official Paper (Held On: 01 Jul, 2024 Shift 2) (Previous Year Paper)

The correct answer is ‘3’ i.e. this part of the sentence has an error.

Key Points

• In the third part of the given sentence, the phrase 'show on' is incorrect.
• In the given sentence, the correct phrase should be 'show off'.
• The verb 'show off' means to display something boastfully or ostentatiously.
• Example: She likes to show off her new car to everyone she meets.

Hence, the correct answer is option 3.

Correct sentence: She always likes to show off her wealth.

Additional Information

• Show off is a common phrasal verb meaning to exhibit one's talents or possessions in a noticeable or boastful manner.
• Example: He loves to show off his talent on the guitar.

The correct answer is ‘4’ i.e. this part of the sentence has an error.

Key Points

• In the fourth part of the given sentence, the phrase 'Hard had she' is incorrect.
• In the given sentence, the correct phrase should be 'Hardly had she'.
• This is a case of using an adverbial phrase in inversion to emphasize an action that just happened before something else.
• Example: Hardly had she entered the room when the phone rang.

Hence, the correct answer is option 4.

Correct sentence: Hardly had she thrown the basketball when it fell on the ground.

Additional Information

• Hardly had is commonly used to describe an action that occurred just before another action. It often triggers an inversion in the sentence structure.
• Example: Hardly had they finished their meal when the waiter brought the bill.

The correct answer is ‘3’ i.e. this part of the sentence has an error.

Key Points

• In the third part of the given sentence, the phrase 'will rain' is incorrect.
• In conditional sentences, the word 'if' is followed by the present tense to refer to the future.
• Example: If it rains tomorrow, we will cancel the picnic.
• Therefore, the correct phrase should be 'rains'.

Hence, the correct answer is option 3.

Correct sentence: If it rains tomorrow, I will stay at home.

Additional Information

• In conditional sentences, the present simple tense is used after 'if' to talk about possible future events.
• Example: If she goes to the party, she will see him there.

The correct answer is '2'.

Key Points

• The title of the ancient Sanskrit epic should include the article "The."
• In English, titles of specific texts or works, particularly classical ones, often include a definite article to denote something specific.

Hence, the correct answer is option 2.

Correct sentence:

The Ramayana is an ancient Sanskrit epic; it is believed to be written around 500 BC to 100 BC.

Additional Information

• In literary and historical contexts, the use of "The" before titles like "The Ramayana" is standard to clarify the reference to a well-known work.
• For example, similarly, we say "The Odyssey" and "The Iliad."

The most appropriate option to fill in blank number 1 is ‘1’ i.e. "sowed"

Key Points

• The correct verb to use in the context of planting seeds is "sowed." It signifies the act of planting seeds in a deliberate manner:
• "Instead of basing their nationalism or appeals to (2) ___________ sentiments and passing emotions, or abstract rights of freedom and liberty, or on obscurantist appeals to the past, they sowed it in a hard-headed and penetrating analysis of the complex mechanism of modern imperialism and the chief contradiction between the interests of the Indian people and British rule."
• The other options are less accurate for the metaphorical planting of ideas:
• Option 2: scattered – implies a less deliberate act.
• Option 3: threw – implies a careless action.
• Option 4: buried – implies hiding rather than planting.

Hence, the correct answer is option 1.

The correct answer is 'shallow'.

 

Key Points

• The passage discusses the basis on which early Indian nationalists grounded their appeals.
• The early nationalists avoided basing their nationalism on insubstantial sentiments.
• 'Shallow' fits well as it denotes sentiments that are superficial and not deeply rooted.
• Other options ("deep", "grounded", "profound") do not contrast with the nationalists' thoughtful approach as effectively as "shallow" does.

Therefore, the correct answer is 'Option 2'.

The correct answer is 'rooted'.

 

Key Points

• The passage discusses how the early nationalists founded their nationalism on a detailed analysis of imperialism.
• The appropriate verb indicates establishing a foundation based on thorough analysis.
• "Rooted" fits well as it denotes establishing firmly and deeply.
• Other options ("minded", "controlled", "drove") do not convey the sense of foundational establishment that "rooted" does.

Therefore, the correct answer is 'Option 1'.

The correct answer is 'evolved'.

 

Key Points

• The passage discusses the development of a common political and economic programme by the early nationalists.
• The appropriate verb should reflect the gradual development or formation of this programme.
• "Evolved" fits well as it denotes a process of gradual and natural development.
• Other options ("uprooted", "banished", "collapsed") do not convey the sense of positive development.

Therefore, the correct answer is 'Option 3'.

The correct answer is 'united'.

 

Key Points

• The passage discusses how the programme developed by early nationalists helped bring different sections of the people together.
• The appropriate verb should indicate bringing people together, promoting solidarity.
• "United" fits well as it denotes bringing together and creating unity.
• Other options ("complicated", "dissolved", "classified") do not convey the sense of unity and togetherness required in the context.

Therefore, the correct answer is 'Option 3'.

The correct answer is: Option 4 i.e. 'victory'.

Key Points

• The word "Defeat" means the act of losing or being overcome in a battle, contest, or struggle. (पराजय)
• Example: The team faced a crushing defeat in the final match.
• "Victory" refers to the act of winning or triumphing over an opponent or challenge. (जीत)
• Example: Her victory in the competition was celebrated by everyone.
• Hence, we can infer that the opposite of 'Defeat' is 'Victory'.

Therefore, the correct answer is: Option 4 i.e. 'victory'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Subjugated (वश में किया हुआ): To bring under domination or control, especially by conquest.
• Example: The invaders quickly subjugated the local population.
• Warfare (युद्ध): Engagement in or the activities involved in war or conflict.
• Example: Modern warfare involves a lot of technological advancements.
• Gain (प्राप्त करना): To obtain or secure something desired.
• Example: He managed to gain the respect of his peers through hard work.

The correct answer is: Promoted.

Key Points

• The word "deposed" means to remove someone from office or power, often in a formal or forceful manner. (पदच्युत करना)
• Example: The king was deposed after a military coup.
• "Promoted" refers to advancing someone to a higher position or rank. (पदोन्नत करना)
• Example: She was promoted to the position of manager after years of hard work.
• Hence, we can infer that the opposite of 'deposed' is 'promoted'.

Therefore, the correct answer is: Promoted.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Interacted (परस्पर संवाद करना): To communicate or engage with someone or something.
• Example: The teacher interacted with the students to understand their doubts.
• Demolished (ध्वस्त करना): To completely destroy a building or other structure.
• Example: The old building was demolished to make way for a new park.
• Segregated (अलग करना): To separate or set apart from others or from the main group.
• Example: The school segregated students based on their abilities.

The correct answer is: Option 2 i.e. To have complete knowledge.

Key Points

• The idiom "at one's fingertips" means to have complete knowledge or easy access to something. (पूरी जानकारी होना या आसानी से उपलब्ध होना)
• Example: She has all the data at her fingertips, making her the most efficient analyst in the team.
• "Complete knowledge" implies having all the information about a subject. (पूर्ण ज्ञान)
• Example: He has complete knowledge of the company's operations, making him indispensable.

Therefore, the correct answer is: To have complete knowledge.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Option 1: To be unaware of something (किसी चीज़ से अनजान होना)
• Example: He seemed to be unaware of the changes happening in the office.
• Option 3: Out of reach (पहुंच से बाहर)
• Example: The goal seemed out of reach, but they kept trying.
• Option 4: To take revenge (बदला लेना)
• Example: He was determined to take revenge for the wrong done to him.

The correct answer is: Option 2 i.e. Unfriendly.

Key Points

• The word "amicable" means friendly and pleasant in behavior. (मैत्रीपूर्ण)
• Example: We reached an amicable agreement after a long discussion.
• "Unfriendly" refers to someone who is not friendly or kind, and who may be hostile or cold. (अमित्रवत)
• Example: His unfriendly demeanor made it difficult for people to approach him.
• Hence, we can infer that the opposite of 'amicable' is 'unfriendly'.

Therefore, the correct answer is: Option 2 i.e. Unfriendly.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Dangerous (खतरनाक): Something that is able or likely to cause harm or injury.
• Example: The situation became dangerous when the storm hit the coast.
• Stupid (मूर्ख): Lacking intelligence or common sense.
• Example: It was a stupid mistake to leave the door unlocked.
• Hateful (घृणास्पद): Full of hate or showing hate.
• Example: He made some hateful comments about his rival.

The correct answer is ‘4’ i.e. close.

Key Points

• The phrase 'close the deal' is a common business term that means to successfully complete a sales transaction or agreement.
• The other options (perform, get, stop) do not fit the context of finalizing a business transaction.

Hence, the correct answer is option 4.

Correct sentence: It took 4 hours straight to close the deal with the regional company.

Additional Information

• 'Close the deal' is widely used in sales and negotiations to indicate the point when an agreement is finalized and confirmed.
• Example: He worked hard to close the deal with the investors.

The correct answer is: Option 3 i.e. In trouble.

Key Points

• The idiom "in deep water" means to be in a difficult or troublesome situation. (मुसीबत में होना)
• Example: After missing several important deadlines, he found himself in deep water with his boss.
• "In trouble" refers to being in a problematic or challenging situation. (परेशानी में)
• Example: She realized she was in trouble when she lost her wallet in a foreign country.

Therefore, the correct answer is: Option 3 i.e. In trouble.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• In dilemma (दुविधा में): A situation in which a difficult choice has to be made between two or more alternatives.
• Example: She was in a dilemma about whether to attend the meeting or finish her report.
• In good position (अच्छी स्थिति में): Being in a favorable or advantageous situation.
• Example: After getting a promotion, he is now in a good position at the company.
• In deep thoughts (गहरी सोच में): Being engrossed in serious contemplation or reflection.
• Example: She was in deep thoughts about her future career plans.

The correct answer is: connects.

Key Points

• The word "connecting" means joining or linking two or more things together. (जोड़ना)
• Example: The bridge is connecting the two towns.
• "Connects" is the simple present tense form of the verb "connect" and is used to describe an action that happens regularly or is a general truth. (जोड़ता है)
• Example: This road connects the city to the highway.
• Hence, the correct substitution for "which connecting" is "connects."

Therefore, the correct answer is: connects.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Connected (जुड़ा हुआ): Past tense of connect, indicating that the action was completed in the past.
• Example: The two cities were connected by a new railway line last year.
• Has connecting (जोड़ रहा है): Incorrect tense usage in this context.
• Example: Incorrect: The road has connecting the two states.
• Have connected (जुड़े हुए हैं): Incorrect subject-verb agreement in this context.
• Example: Incorrect: The road have connected the two states.

The correct answer is: Ugly.

Key Points

• The word "Beautiful" means pleasing the senses or mind aesthetically; something that is attractive and lovely. (सुंदर)
• Example: The sunset over the mountains was incredibly beautiful.
• "Ugly" refers to something that is unpleasant or repulsive, especially in appearance. (बदसूरत)
• Example: The abandoned house looked ugly and eerie.
• Hence, we can infer that the opposite of 'beautiful' is 'ugly'.

Therefore, the correct answer is: Ugly.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Stingy (कंजूस): Unwilling to spend or give.
• Example: He is so stingy that he never tips the waiters.
• Slimy (चिकना): Covered with or resembling slime.
• Example: The slimy surface of the pond made it difficult to walk around.
• Pungent (तीखा): Having a sharply strong taste or smell.
• Example: The pungent smell of garlic filled the kitchen.

The correct answer is: Option 1.

Key Points

• The word "Aquire" is incorrectly spelt. The correct spelling is "Acquire".
• Example: He managed to acquire a rare book for his collection.
• "Acquire" means to come into possession or control of something, often by one's own efforts. (प्राप्त करना)
• Example: In order to succeed, one must acquire new skills and knowledge.

Therefore, the correct answer is: Option 1.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Congratulate (बधाई देना): To praise someone for an achievement.
• Example: We went to congratulate her on her promotion.
• Category (श्रेणी): A class or division of people or things regarded as having particular shared characteristics.
• Example: The books are organized by category in the library.
• Hygiene (स्वच्छता): Conditions or practices conducive to maintaining health and preventing disease, especially through cleanliness.
• Example: Good personal hygiene is essential to prevent the spread of illnesses.

The correct answer is: Option 4.

Key Points

• The word "interacts" means to act in such a way as to have an effect on another; it can refer to communication or direct involvement with something. (परस्पर क्रिया करना)
• Example: The teacher interacts with the students to make the lessons more engaging.
• "Disconnects" refers to breaking the connection between two or more things; it implies separation or detachment. (विच्छेद करना)
• Example: He disconnects the phone when he doesn't want to be disturbed.
• Hence, we can infer that the opposite of 'interacts' is 'disconnects'.

Therefore, the correct answer is: Option 4.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Intermingles (मिलाना): To mix or mingle together.
• Example: The colors intermingles beautifully in the painting.
• Co-operates (सहयोग करना ): To work together towards a common goal.
• Example: The team co-operates to complete the project on time.
• Interrelates (परस्पर संबंधित होना): To relate or connect with each other.
• Example: The two subjects interrelates in many ways.

The correct answer is: Option 1.

Key Points

• The word "strenuous" means something that requires or uses great exertion or effort; it is difficult and tiring. (श्रमसाध्य)
• Example: The strenuous workout left everyone exhausted.
• "Easy" refers to something that requires little or no effort, is not difficult, and is simple to accomplish. (आसान)
• Example: The task was so easy that even a child could do it.
• Hence, we can infer that the opposite of 'strenuous' is 'easy'.

Therefore, the correct answer is: Option 1.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Demanding (मांगलिक): Requiring much skill or effort.
• Example: The job was very demanding, requiring long hours and intense concentration.
• Lively (जीवंत): Full of life and energy.
• Example: The lively music got everyone up and dancing.
• Intense (तीव्र): Of extreme force, degree, or strength.
• Example: The intense heat made it hard to stay outside for long.

The correct answer is ‘2’ i.e. that could.

Key Points

• The phrase 'that could' is appropriate as it indicates the possibility or potential of identifying them or their location.
• Other options do not fit the context as well as 'that could'.
• ‘whichever can’ is incorrect as it does not imply possibility effectively in this context.
• ‘which might lead’ changes the meaning and indicates a consequence rather than the direct action of identification.
• ‘what will’ is grammatically incorrect and does not fit the sentence properly.

Hence, the correct answer is option 2.

Correct sentence: Children should avoid giving out personal details online that could identify them or their location.

Additional Information

• In sentences that discuss possibilities or potential outcomes, 'could' often fits well to express these conditions.
• Example: Actions that could harm the environment should be avoided.

The correct answer is: Asylum.

Key Points

• The word "Asylum" means an institution offering shelter and support to people who are mentally ill. (मानसिक रोगियों का अस्पताल)
• Example: The patient was admitted to an asylum for better care and treatment.
• "Shelter" refers to a place giving temporary protection from bad weather or danger. (आश्रय)
• Example: They found shelter under a large tree during the storm.
• Hence, we can infer that a hospital for people with mental illnesses is called an 'Asylum'.

Therefore, the correct answer is: Asylum.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Shelter (आश्रय): A place giving temporary protection from bad weather or danger.
• Example: The refugees were provided shelter by the local community.
• Druggist (दवा विक्रेता): A person who is qualified to prepare and dispense medicinal drugs.
• Example: The druggist filled my prescription within minutes.
• Hangar (विमानशाला): A large building with an extensive floor area, typically for housing aircraft.
• Example: The airplane was moved into the hangar for maintenance.

The correct answer is ‘2’ i.e. I wrote an email to her.

Key Points

• The phrase 'I wrote an email to her' is correct because:
• The use of 'an' before 'email' is grammatically correct as 'email' starts with a vowel sound.
• Using 'so' is redundant because the conjunction 'As' already conveys the cause-effect relationship.
• The other options are either grammatically incorrect or stylistically awkward.
• Option 1 repeats 'so,' making it redundant.
• Option 3 uses 'for' instead of 'to,' which changes the meaning slightly.
• Option 4 uses the wrong verb tense 'write' instead of 'wrote.'

 

Hence, the correct answer is option 2.

Correct sentence: As I have no time to discuss the points, I wrote an email to her.

Additional Information

• In English, using either 'a' or 'an' depends on the sound that follows the article, not necessarily the first letter of the word.
• Example: He read an article about the subject.

The correct answer is: Option 4 i.e. 'Academecian'.

Key Points

• The word "Academecian" is incorrectly spelt. The correct spelling is "Academician".
• Academecian does not have any meaning in English. It is a misspelling of the word "Academician".
• The correct word is "Academician" which means a member of an academy, especially one who is knowledgeable in a specific field. (अकादमीशियन)
• Example: Amartya Sen is a renowned academician known for his work in welfare economics.

Therefore, the correct answer is: Option 4 i.e. 'Academecian'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Britain (ब्रिटेन): A country in Europe.
• Example: She traveled to Britain for her higher studies.
• Taught (सिखाया): Past tense of 'teach', meaning to impart knowledge or skill.
• Example: He taught mathematics at the university.
• Distinguished (प्रतिष्ठित): Recognized for excellence.
• Example: She is a distinguished scientist in the field of genetics.

The correct answer is: Option 1.

Key Points

• The word "Resistance" means the refusal to accept or comply with something; the attempt to prevent something by action or argument. (प्रतिरोध)
• Example: The resistance of the local community to the new policy was evident in the protest march.
• "Tolerance" refers to the ability or willingness to tolerate the existence of opinions or behavior that one dislikes or disagrees with. (सहनशीलता)
• Example: The teacher's tolerance for different viewpoints made her classroom a welcoming place for all students.
• Hence, we can infer that the opposite of 'Resistance' is 'Tolerance'.

Therefore, the correct answer is: Option 1.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Tenderness (नम्रता): The quality of being gentle, kind, or affectionate.
• Example: The tenderness in her voice soothed the crying child.
• Awareness (जागरूकता): Knowledge or perception of a situation or fact.
• Example: Public awareness of environmental issues has increased significantly in recent years.
• Reliance (निर्भरता): Dependence on or trust in someone or something.
• Example: His reliance on his friends for support was evident during difficult times.

The logic followed here is,

 

Hence, the correct answer is "Option 4".

Given Equation: 100 K 5 M 73 T 48 M 56 G 23 = ?

BODMAS Rule:

Decoding the given information:

 

Now replacing the sign from left to right using BODMAS Rule, we get:

⇒ 100 ÷ 5 + 73 × 48 + 56 - 23 = ?

⇒ 20 + 73 × 48 + 56 - 23 = ?

⇒ 20 + 3504 + 56 - 23 = ?

⇒ 3580 - 23 = 3557.

Hence, the correct option is "Option 4".

Let's check each option,

1. QNL

2. ROL

3. WTQ

4. LIF

Here, we can see that Option 1 is different from others.

Hence, the correct answer is "QNL".

Opposite surface of the open dice can be found by the below methods: -

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners.

So, by using the above rule we can find the opposite surface of open dice.

Below are the opposite surfaces: -

Here, we can see that the word on the opposite side of 'Blue' is 'Black'.

Hence, the correct answer is "Black".

Let's count the number of squares in the given figure,

Hence, the correct answer is "11".

According to the given information,

Here, we can see that the code for 'are' is 'mz'.

Hence, the correct answer is "mz".

BODMAS Table: 

Given equation: 21 + 3 - 7 ÷ 11 × 4 = ?

Now, if ‘+’ and ‘÷’ are interchanged and ‘×’ and ‘-’ are interchanged, then:

⇒ 21 ÷ 3 × 7 + 11 - 4 = ?

⇒ 21 ÷ 3 × 7 + 11 - 4 = ?

⇒ 7 × 7 + 11 - 4 = ?

⇒ 49 + 11 - 4 = ?

⇒ 60 - 4 = 56.

Hence, the correct answer is "Option 3".

The least possible venn diagram is shown below,

Conclusions:

I. Some rings are bangles → True (All rings are earrings, some rings are chains and all chains are bangles implies that some part of rings which are chains are also bangles).

II. Some earrings are bangles → True (All rings are earrings, some rings are chains and all chains are bangles implies that some earrings which are chains are also bangles).

III. Some chains are earrings → True (All rings are earrings, some rings are chains and all chains are bangles implies that some chains which are rings are also earrings).

Hence, the correct answer is "All conclusions I, II and III follow".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 3".

Given Equation: 17 H 23 Q 42 Z 7 E 13 = ?

BODMAS Rule:

Decoding the given information:

 

Now replacing the sign from left to right using BODMAS Rule, we get:

⇒ 17 + 23 × 42 ÷ 7 - 13

⇒ 17 + 23 × 6 - 13

⇒ 17 + 138 -13

⇒ 155 - 13

= 142

Hence, the correct option is "Option 4".

The logic followed here is:

Logic: (1^st number × 5 = 2^nd number).

Now,

For, 11 : 55

⇒ 11 × 5 = 55.

For, 22 : 110

⇒ 22 × 5 = 110.

Similarly, for 44 ∶ ?

⇒ 44 × 5 = 220.

Hence, the correct answer is "Option 2".

The correct mirror image of the given figure is:

        

Hence, the correct answer is "Option 1".

Let's check each option,

Hence, the correct answer is "Option 3".

The logic followed here is,

Hence, the correct answer is "87.5".

The logic followed here is,

Hence, the correct answer is "187".

The logic followed here is:

Logic: Body parts and their connecting joints.

Here,

Hand : Wrist → Wrist is the joint that connects the Hand to the arm.

Similarly,

Foot : Ankle → Ankle is the joint that connects the Foot to the leg.

Hence, the correct answer is "Option 1".

Given: 6 May 2005 was Friday.

Now,

2005 to 2018 = 13 Years (10 Ordinary Years and 3 Leap Years).

And, In 13 Years = 3 Leap years and 10 Ordinary Years.

So, 3 Leap Years have 6 odd days,

And, 10 Ordinary Years have 10 odd days.

Total odd days = 6 + 10 = 16.

16 odd days → 16/7 = 2 weeks and 2 odd days.

then, 6 May 2018 will be Friday + 2 = Sunday.

Now, the number of days between 6 May 2018 to 25 September 2018

= 25(May) + 30(June) + 31(July) + 31(August) + 25(September) = 142 days.

= 142 days → 142/7 = 20 weeks and 2 odd days.

So, 25 September 2018 will be Sunday + 2 = Tuesday.

Hence, the correct answer is "Option 3".

Given: 15 December 2006 was Friday.

Now,

2006 to 2009 = 3 Years (2 Ordinary Years and 1 Leap Year).

And, In 3 Years = 1 Leap year and 2 Ordinary Years.

So, 1 Leap Year has 2 odd days,

And, 2 Ordinary Years have 2 odd days.

Total odd days = 2 + 2 = 4.

then, 15 December 2009 will be Friday + 4 = Tuesday.

Now, the number of days between 15 December 2006 to 13 October 2009

= 16 (December 2006) + 365 (2007) + 366 (2008, leap year) + 286 (days from Jan to Oct 13, 2009) = 1033 days.

= 1033 days → 1033/7 = 147 weeks and 4 odd days.

So, 13 October 2009 will be Friday + 4 = Tuesday.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: Opposite Actions

Here,

Continue : Interrupt → Continue is an action that means to keep going, while Interrupt is an action that means to stop or break the continuity.

Similarly,

Attic : Common → Attic refers to a specific and often secluded part of a house, while Common refers to something that is usual or shared by all.

Hence, the correct answer is "Option 4".

Preparing the family tree using the following symbols,

Given equation: M – N + O

The family tree can be drawn as per the given information,

Here, we can see that M is the mother of O.

Hence, the correct answer is "M is the mother of O".

The logic followed here is,

Hence, the correct answer is "IGJO".

The logic followed here is:

Logic: (1^st number × 2) + second number = 3^rd number.

Now,

For, (21, 34, 76)

⇒ (21 × 2) + 34

⇒ 42 + 34 = 76.

For, (39, 26, 104)

⇒ (39 × 2) + 26

⇒ 78 + 26 = 104.

Similarly, for Option 2: (28, 23, 79)

⇒ (28 × 2) + 23

⇒ 56 + 23 = 79

Hence, the correct answer is "Option 2".

The logic followed here is,

Hence, the correct answer is "OAM".

The logic followed here is,

KIOSK : LJRTL

FLAME : GMDNF

Similarly,

ENJOY : ?

Hence, the correct answer is "FOMPZ".

Opposite surface of the open dice can be found by the below methods: -

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners.

So, by using the above rule we can find the opposite surface of open dice.

Below are the opposite surfaces: -

Here, we can see that the letter on the opposite side of 'K' is 'M'.

Hence, the correct answer is "M".

Shortcut Trick

sin θ = 2xy / (x² + y²) = p/h

i.e. p = 2xy, h= (x² + y²)

So, b² = h² - p² = (x² + y²)² - (2xy)² = (x²)² + (y²)² + 2x²y² - 4x²y²

⇒ b² = (x2)2 + (y2)2 - 2x2y2 = (x² - y²)²

⇒ b = (x² - y²)

Now,

tan θ = p/b = 2xy / (x2 - y2)

∴ The correct answer is option (2).

Alternate Method

Given:

sin θ = 2xy / (x² + y²)

Formula used:

sin² θ + cos² θ = 1

tan θ = sin θ / cos θ

Calculation:

sin θ = 2xy / (x² + y²)

⇒ sin² θ = (2xy / (x² + y²))²

⇒ sin² θ = 4x²y² / (x² + y²)²

⇒ cos² θ = 1 - sin² θ

⇒ cos² θ = 1 - 4x²y² / (x² + y²)²

⇒ cos² θ = ((x² + y²)² - 4x²y²) / (x² + y²)²

⇒ cos² θ = (x⁴ + 2x²y² + y⁴ - 4x²y²) / (x² + y²)²

⇒ cos² θ = (x⁴ - 2x²y² + y⁴) / (x² + y²)²

⇒ cos² θ = (x² - y²)² / (x² + y²)²

⇒ cos θ = (x² - y²) / (x² + y²)

⇒ tan θ = sin θ / cos θ

⇒ tan θ = (2xy / (x² + y²)) / ((x² - y²) / (x² + y²))

⇒ tan θ = 2xy / (x² - y²)

∴ The value of tan θ is 2xy / (x² - y²)

Shortcut Trick

Product of extremes = Product of means

2³ × x = 8^5.06 × 8^−4.06

8 × x = 8^{(5.06 − 4.06)}

8 × x = 8¹ ⇒ 8x = 8

∴ The correct answer is 1.

Alternate Method

Given: The proportion is 2³ : 8^5.06 :: 8^−4.06 : x

Formula Used: If a : b :: c : d, then a ÷ b = c ÷ d (or ad = bc)

⇒ 2³ / 8^5.06 = 8^−4.06 / x

⇒ 8 / 8^5.06 = 8^−4.06 / x

⇒ x = (8^−4.06 × 8^5.06) ÷ 8

⇒ x = 8^{(−4.06 + 5.06)} ÷ 8

⇒ x = 8¹ ÷ 8

⇒ x = 1

∴ The correct answer is 1.

Additional Information

Laws of Exponents (Multiplication)

When multiplying terms with the same base, the exponents are added: a^m × aⁿ = a^m+n.

Proportion Properties

In a proportion a : b :: c : d, the product of the extremes (a and d) is always equal to the product of the means (b and c).

Negative Exponents

A negative exponent represents the reciprocal of the base: a⁻ⁿ = 1 / aⁿ.

Given:

The age of the older boy is thrice that of the younger.

9 years ago, the age of the older boy was five times that of the younger.

Formula Used:

Let the present age of the younger boy be y years.

The present age of the older boy = 3y years.

9 years ago:

The age of the younger boy = y - 9 years.

The age of the older boy = 3y - 9 years.

Calculation:

According to the problem statement:

9 years ago, the age of the older boy was five times that of the younger.

So, 3y - 9 = 5(y - 9)

Solving the equation:

⇒ 3y - 9 = 5(y - 9)

⇒ 3y - 9 = 5y - 45

⇒ 3y - 5y = -45 + 9

⇒ -2y = -36

⇒ y = 18

The present age of the younger boy is 18 years.

The present age of the older boy is 3 × 18 = 54 years.

The present age of the younger boy is 18 years and the present age of the older boy is 54 years.

Given:

First part distance = 110 miles

First part speed = 55 mph

Second part distance = 120 miles

Second part speed = 60 mph

Third part distance = 60 miles

Third part time = 1 hour

Formula Used:

Average speed = Total distance traveled / Total time taken

Calculation:

Time taken for the first part = 110 / 55

Time taken for the first part = 2 hours

Time taken for the second part = 120 / 60

Time taken for the second part = 2 hours

Time taken for the third part = 1 hour

Total distance = 110 + 120 + 60

Total distance = 290 miles

Total time = 2 + 2 + 1

Total time = 5 hours

Average speed = Total distance / Total time

Average speed = 290 / 5

Average speed = 58 mph

The average speed for the entire journey is 58 mph.

Given:

PQ is a diameter of a circle with centre O.

The tangents at R meet PQ produced at A.

∠RPQ = 27º

Formula Used:

Angle subtended by the diameter of a circle is 90º.

∠RQP = 90º - ∠RPQ

Calculation:

∠RPQ = 27º

∠RQP = 180^∘ - (90º + 27º)

⇒ ∠RQP = 63º

The measure of ∠RQP is 63º.

Shortcut Trick

Solve Numerator: 7 + (8 × 7 ÷ 8) + (7 ÷ 7 ÷ 7) = 7 + 7 + 1/7 = 99/7.

Solve Denominator: 3 + (3 × 3 ÷ 3) + (5 ÷ 5 ÷ 5) = 3 + 3 + 1/5 = 31/5.

Expression = (99/7) ÷ (31/5) = (99/7) × (5/31) = 495/217.

Convert to mixed fraction: 495 ÷ 217 = 2 (remainder 61).

Result = 2 61/217.

∴ The correct answer is 2 61/217.

Alternate Method

Given: (7 + 8 × 7 ÷ 8 + 7 ÷ 7 ÷ 7) ÷ (3 + 3 × 3 ÷ 3 + 5 ÷ 5 ÷ 5)

Formula used: BODMAS (Division → Multiplication → Addition)

⇒ Numerator Step 1 (Division): 7 + 8 × (7/8) + (7/7) ÷ 7

⇒ Numerator Step 2: 7 + 7 + (1 ÷ 7) = 14 + 1/7 = 99/7

⇒ Denominator Step 1 (Division): 3 + 3 × (3/3) + (5/5) ÷ 5

⇒ Denominator Step 2: 3 + 3 + (1 ÷ 5) = 6 + 1/5 = 31/5

⇒ Expression Value = (99/7) / (31/5)

⇒ Value = (99/7) × (5/31) = 495/217

⇒ 495 = 217 × 2 + 61

⇒ Value = 2 61/217

∴ The correct answer is 2 61/217.

Additional Information

BODMAS / VBODMAS Rule

Simplification follows the order: Vinculum, Bracket, Of, Division, Multiplication, Addition, and Subtraction. Sequential divisions are performed from left to right: a ÷ b ÷ c = (a/b) ÷ c = a/(bc).

Reciprocal of Fractions

To divide two fractions (a/b) ÷ (c/d), multiply the first fraction by the reciprocal of the second: (a/b) × (d/c).

Mixed Fraction Conversion

An improper fraction N/D can be written as Q R/D, where Q is the quotient and R is the remainder when N is divided by D.

Given:

The surface areas of two spheres are in the ratio 25 : 36.

Formula Used:

Ratio of surface areas = (radius₁/radius₂)²

Ratio of volumes = (radius₁/radius₂)³

Calculation:

Let the radii of the spheres be r₁ and r₂.

Given ratio of surface areas = 25/36

⇒ (r₁/r₂)² = 25/36

⇒ r₁/r₂ = $\sqrt{25/36}$

⇒ r₁/r₂ = 5/6

Ratio of volumes = $\frac{4}{3} \pi r_1^3$ / $\frac{4}{3} \pi r_2^3$ = (r₁/r₂)³

⇒ (5/6)³ 

⇒ 125/216

The ratio of their volumes is 125/216.

Solution:

Average sales (in thousand number) of branches A, C, and F in 2021

= 1/3 × (80 + 95 + 70) = (245 ⁄ 3)

Average sales (in thousand number) of branches A, B, and C in 2022

= 1/3 × (105 + 65 + 110) = (280 ⁄ 3)

∴ Required percentage = $\frac{\frac{245}{3}}{\frac{280}{3}} \times 100$ % = (245 ⁄ 280 × 100)% = 87.5%

∴ Option 2 is correct answer.

Given:

Loan Amount (P) = Rs. 12,00,000

Simple Interest (SI) = Rs. 9,72,000

Time period (T) = Rate of Interest (R)

Formula Used:

Simple Interest (SI) = (P × R × T) / 100

Calculation:

Given that T = R, we can rewrite the formula as:

SI = (P × R × R) / 100

Plugging in the values:

9,72,000 = (12,00,000 × R × R) / 100

⇒ 9,72,000 = 12,00,000 × R² / 100

⇒ 9,72,000 = 120000 × R²

⇒ 97,2000 = 12000 × R²

⇒ R² = 97,2000 / 12000

⇒ R² = 81

⇒ R = √81

R = 9

The rate of interest per annum is 9%.

Given:

BD = DC (As AD is median)

AE = EC (As BE is median)

The length of AD = 18 cm

The length of BE = 12 cm

Concept used:

The medians of a triangle intersect each other at the centroid, which divides each median in the ratio 2:1.

Here, G is the centroid of the triangle.

Pythagorean theorem:-

H2 = P2 + B2

Calculation:

AG : GD = 2 : 1

Let AG and GD be 2x and x respectively. 

2x + x = 18

⇒ 3x = 18

⇒ x = 18/3

⇒ x = 6

⇒ GD = 6 cm

BG : GE = 2 : 1

Let BG and GE be y respectively.

2y + y = 12

⇒ 3y = 12

⇒ y = 12/3

⇒ y = 4

BG = 2 × 4 = 8 cm

In right-angled ΔBGD,

BD2 = BG2 + GD2 

⇒ BD2 = (8)2 + (6)2 

⇒ BD2 = 64 + 36

⇒ BD2 = 100

⇒ BD = 10

BD = 10 cm

∴ The length of BD (in cm) is 10.

Given:

Total number of toys = 75

Number of boys' toys = 18

Formula Used:

Percentage of girls' toys = $\left(\frac{\text{Number of girls' toys}}{\text{Total number of toys}}\right) \times 100$

Calculation:

Number of girls' toys = Total number of toys - Number of boys' toys

Number of girls' toys = 75 - 18

Number of girls' toys = 57

Percentage of girls' toys = $\left(\frac{57}{75}\right) \times 100$0

Percentage of girls' toys = $\frac{57 \times 100}{75}$

Percentage of girls' toys = $\frac{5700}{75}$

Percentage of girls' toys = 76

The percentage of girls' toys is 76%.

Given:

$\frac{4}{7} \times 4\frac{1}{2} \div 5\frac{1}{3} \text{of}~ 2\frac{1}{2}-(7\frac{7}{8}\div5\frac{1}{9}~\text{of}~9\frac{9}{20})+\frac{1}{2}$

Formula Used:

Order of Operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Calculation:

⇒ \(\frac{4}{7} \times \frac{9}{2} \div \frac{16}{3} \text{of}~ \frac{5}{2}-(\frac{63}{8}\div\frac{46}{9}\text{of}\frac{189}{20})+\frac{1}{2}\)

⇒ $\frac{4}{7} \times \frac{9}{2} \div \frac{16}{3} \times \frac{5}{2}-(\frac{63}{8}\div\frac{46}{9}\times \frac{189}{20})+\frac{1}{2}$

⇒ $\frac{4}{7} \times \frac{9}{2} \div \frac{40}{3} -(\frac{63}{8}\div\frac{483}{10})+\frac{1}{2}$

⇒ $\frac{4}{7} \times \frac{9}{2} \times \frac{3}{40} -(\frac{63}{8}\times\frac{10}{483})+\frac{1}{2}$

⇒ $\frac{1}{7} \times \frac{9}{2} \times \frac{3}{10} -(\frac{21}{4}\times\frac{5}{161})+\frac{1}{2}$

⇒ $\frac{27}{140} -\frac{105}{644}+\frac{1}{2}$

⇒ $\frac{1706}{3220}$

⇒ $\frac{853}{1610}$

Shortcut Trick Working backwards from the last quotient (3): Step 3 (Divisor 7): (7 × 3) + 3 = 24 Step 2 (Divisor 5): (5 × 24) + 1 = 121 Step 1 (Divisor 3): (3 × 121) + 2 = 365 ∴ The correct answer is 365.

Alternate Method Given: Successive divisors are 3, 5, 7. Respective remainders are 2, 1, 3. Last quotient is 3. Formula Used: Dividend = (Divisor × Quotient) + Remainder

⇒ Let the last quotient be q3 = 3. ⇒ Number before last division (Dividend for divisor 7): N3 = (7 × 3) + 3 = 24 ⇒ This N3 is the quotient for the previous division by 5. ⇒ Number before second division: N2 = (5 × 24) + 1 = 121 ⇒ This N2 is the quotient for the first division by 3. ⇒ Original Number: N1 = (3 × 121) + 2 = 365 ∴ The correct answer is 365.

Additional Information Successive Division Concept In successive division, the quotient obtained from the first division becomes the dividend for the second division, and so on. Minimum Number Rule If the last quotient is not given, we usually assume it to be 0 or 1 to find the least positive number satisfying the condition. Division Lemma Based on Euclid's Division Lemma: a = bq + r, where 0 ≤ r < b.

Given:

Speed of the first part = 40 km/hr.

Speed of the second part = 45 km/hr.

Speed of the third part = 60 km/hr.

Formula Used:

Average speed = Total distance travelled / Total Time

Calculation:

Let each part of the journey be of equal distance, say d kilometers.

Time taken in the first part = d / 40

Time taken in the second part = d / 45

Time taken in the third part = d / 60

Total Distance = d + d + d = 3d

Total Time = (d / 40) + (d / 45) + (d / 60)

Total Time = d(1/40 + 1/45 + 1/60)

Total Time = d(9/360 + 8/360 + 6/360)

Total Time = d(23/360)

Average Speed = (3d) / $\frac{23d}{360}$

Average Speed = (3d × 360) / 23d

Average Speed = 1080 / 23

Average Speed ≈ 46.96 km/hr

The average speed for the whole journey is 46.96 km/hr.

Given:

A and B can do a piece of work in 8 days.

B alone can do it in 16 days.

Formula Used:

Work done by A and B together in one day = 1/8

Work done by B alone in one day = 1/16

Work done by A alone in one day = (Work done by A and B together in one day) - (Work done by B alone in one day)

Number of days A alone can do the work = 1 / (Work done by A alone in one day)

Calculation:

Work done by A and B together in one day = 1/8

Work done by B alone in one day = 1/16

Work done by A alone in one day = (1/8) - (1/16)

⇒ Work done by A alone in one day = (2/16) - (1/16)

⇒ Work done by A alone in one day = 1/16

Number of days A alone can do the work = 1 / (1/16)

⇒ Number of days A alone can do the work = 16

The correct answer is option 3: 16 days.

Given:

Loss% (a) = 25%

Less weight (b) = 45%

Formula Used:

Profit% / Loss% = (b ± a) / (100 - b) × 100

Calculations:

As, a = 25% and b = 45%

Then,

⇒ Profit% / Loss% = (b ± a) / (100 - b) × 100

⇒ (45 - 25) / (100 - 45) × 100

⇒ 20 / 55 × 100

⇒ 400/11 = $36\frac{4}{11}$ %

The dealer’s profit% is $36\frac{4}{11}$%.

Given:

The sides of the cuboid are in the ratio 3 : 4 : 5.

Surface area of the cube with side 6 units = 6 × 6² = 216 sq units.

Formula Used:

Surface area of cuboid = 2(lw + lh + wh)

Volume of cuboid = l × w × h

Calculation:

Let the sides of the cuboid be 3x, 4x, and 5x.

Surface area of cuboid = 2(3x × 4x + 4x × 5x + 5x × 3x)

Given: Surface area of cuboid = Surface area of cube = 216

⇒ 2(12x² + 20x² + 15x²) = 216

⇒ 2(47x²) = 216

⇒ 94x² = 216

⇒ x² = 216 / 94

⇒ x² ≈ 2.2979

⇒ x ≈ √2.2979

⇒ x ≈ 1.5159

Length = 3x ≈ 3 × 1.5159 ≈ 4.5477

Width = 4x ≈ 4 × 1.5159 ≈ 6.0636

Height = 5x ≈ 5 × 1.5159 ≈ 7.5795

Volume of cuboid = Length × Width × Height

⇒ Volume ≈ 4.5477 × 6.0636 × 7.5795

⇒ Volume ≈ 210

The approximate volume of the cuboid is 210 cubic units.

Given:

Votes for the first candidate = 1136

Votes for the second candidate = 7636

Votes for the third candidate = 11628

Formula Used:

Winning candidate's percentage = (Votes for the winning candidate / Total votes) × 100

Calculation:

Total votes = 1136 + 7636 + 11628

Total votes = 20400

Votes for the winning candidate = 11628

Winning candidate's percentage = (11628 / 20400) × 100

Winning candidate's percentage = (11628 / 20400) × 100

⇒ Winning candidate's percentage = 0.57 × 100

⇒ Winning candidate's percentage = 57%

The correct answer is option 3

Given:

Sales data of various fruits in different months (as shown in the three-dimensional chart).

Calculations:

Melon sales in each month:

April: 33 units

May: 58 units

June: 20 units

The lowest sale of melons was in June: 20 units

Orange sales in June: 17 units

Difference between melon and orange sales in June:

⇒ 20 (melons) - 17 (oranges) = 3 units

∴ The sale of melons was the lowest in June and it was 3 units more than the sale of oranges in that month.

Given:

Production data of Type A cars over the years 2016 to 2021 (as shown in the line graph).

Calculations:

Production of Type A cars in each year:

2016: 100 thousand

2017: 125 thousand

2018: 200 thousand

2019: 250 thousand

2020: 300 thousand

2021: 400 thousand

Calculate the average production:

⇒ Average production = (100 + 125 + 200 + 250 + 300 + 400) / 6

⇒ Average production = 1375 / 6

⇒ Average production ≈ 229.17 thousand

Years when the production was more than the average:

2018: 200 thousand (less than average)

2019: 250 thousand (more than average)

2020: 300 thousand (more than average)

2021: 400 thousand (more than average)

∴ The production of Type A cars was more than the average production in 3 years: 2019, 2020, and 2021.

Given:

∠ABC = 85º

∠FAE = 24º

AE is parallel to CD

AB is produced to F

Formula Used:

In a cyclic quadrilateral, opposite angles sum up to 180º.

The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

Calculation:

We know in a cyclic quadrilateral opposite angles sum up to 180º. So,

∠ABC + ∠ADC = 180^∘ 

∠ADC = 180^∘ - 85^∘ = 95^∘

∠EAD = ∠ADC = 95∘ [Alternate interior angles of parallel lines CD and AE]

∠FAD = ∠FAE + ∠EAD

∠FAD = 24^∘ + 95^∘ = 119^∘

∠BCD = ∠FAD = 119^∘ [Exterior angle of a cyclic quadrilateral]

∴ The correct answer is 119^∘ 

Given:

Price of the electric bike last year = Rs. 1,25,000

Decrease in price = 30%

Formula Used:

Price this year = Last year's price - (Decrease percentage × Last year's price)

Calculation:

Decrease in price = 30% of 1,25,000

⇒ Decrease in price = (30/100) × 1,25,000

⇒ Decrease in price = 0.30 × 1,25,000

⇒ Decrease in price = 37,500

Price this year = Last year's price - Decrease in price

⇒ Price this year = 1,25,000 - 37,500

⇒ Price this year = 87,500

The price of the electric bike this year is Rs. 87,500.

Given:

The ratio between the curved surface area (CSA) and the volume (V) of a right circular cylinder is 2:3.

The ratio between the radius (r) and the height (h) of the cylinder is 3:7.

Formula used:

Curved Surface Area (CSA) = 2πrh

Volume (V) = πr²h

Total Surface Area (TSA) = 2πr(h + r)

Calculations:

Let the radius (r) be 3x and the height (h) be 7x.

Given ratio of CSA to V = 2:3:

⇒ 2πrh / πr²h = 2/3

⇒ 2rh / r²h = 2/3

⇒ 2 / r = 2/3

⇒ 2 / 3x = 2/3

⇒ 2 / 3x = 2/3

This satisfies the given condition when x = 1.

Now, we calculate the TSA:

⇒ TSA = 2πr(h + r)

⇒ TSA = 2π(3x)(7x + 3x)

⇒ TSA = 2π(3x)(10x)

⇒ TSA = 2π(30x²)

⇒ TSA = 60πx²

Using the given ratio values:

If x = 1, then:

⇒ TSA = 60π

∴ The total surface area of the cylinder is 60π square units.

Given:

Radii of the circles are 9 cm and 4 cm.

Formula Used:

Length of common tangent, AB = $\sqrt{(r_1 + r_2)^2 - (r_1 - r_2)^2}$

Calculation:

Let r_1 = 9 cm and r_2 = 4 cm.

AB = $\sqrt{(9 + 4)^2 - (9 - 4)^2}$

AB = $\sqrt{13^2 - 5^2}$

AB = $\sqrt{169 - 25}$

AB = $\sqrt{144}$

AB = 12 cm

The length of AB is 12 cm.

Given:

The table shows the marks obtained by 100 students out of 50 in Mathematics and Physics in an examination.

Marks in Physics for eligibility to pursue higher studies: 60%.

Formula Used:

Marks required for 60% in Physics = Total marks × Percentage required

Calculation:

Marks required for 60% in Physics = 50 × 60%

⇒ Marks required for 60% in Physics = 50 × 0.6

⇒ Marks required for 60% in Physics = 30

From the table, the number of students scoring 30 or above in Physics = 21

The number of students eligible to pursue higher studies in Physics is 21.

The correct answer is Gulamgiri

Key Points

• Gulamgiri is one of the first criticisms of the caste system written by Mahatma Phule in Marathi language and published in the year 1873.
• This work is a significant text in the social reform movement in India, especially in Maharashtra.
• Phule's critique of the caste system was pioneering and laid the groundwork for future reformers and activists.
• The book compares the oppression of lower castes in India with the enslavement of African Americans in the United States, making a powerful case against social injustices.

Additional Information

• Mahatma Jyotirao Phule was an Indian social activist, thinker, anti-caste social reformer, and writer from Maharashtra.
• He and his wife, Savitribai Phule, were pioneers of women's education in India.
• Phule is also known for his efforts to promote education among women and lower castes.
• He founded the Satyashodhak Samaj (Society of Seekers of Truth) in 1873, which aimed to achieve social justice and equality.

The correct answer is Sattriya

Key Points

• Sattriya is a classical dance form that originated in the monasteries of Assam.
• It was introduced by the Vaishnavite saint Sankardeva in the 15^th century as a medium for religious expression and storytelling.
• The dance form is an integral part of the Sattras (monastic institutions) and was traditionally performed by male monks known as Bhakats.
• Sattriya dance includes various elements such as nritta (pure dance), nritya (expressive dance), and natya (dramatic elements).
• In 2000, Sattriya was recognized as one of the eight classical dance forms of India by the Sangeet Natak Akademi.

Additional Information

• Sattriya dance is characterized by its use of hand gestures (mudras), footwork (padas), and facial expressions (abhinaya).
• The costumes typically include traditional Assamese attire with elaborate jewelry and headgear.
• Music accompanying Sattriya dance is based on classical ragas and is performed using traditional instruments like the khol (drum), taals (cymbals), and flute.
• Over time, Sattriya has evolved and is now performed by both men and women on various cultural platforms.

The correct answer is Kadambas

Key Points

• Kadambas were the original power to whom the Badami (or Vatapi) Chalukyas were subjects.
• The Kadambas ruled from Banavasi in present-day Karnataka, and their reign is considered significant in the early medieval history of the Deccan region.
• The Chalukyas later rose to prominence and established their own dynasty, with Badami (Vatapi) as their capital.
• The Chalukyas are well-known for their contributions to art and architecture, particularly in the construction of rock-cut temples.
• The transition from being subjects of the Kadambas to establishing their own rule marks a significant period in South Indian history.

Additional Information

• The Badami Chalukyas ruled from the 6^th to the 8^th century CE and are known for their architectural innovations and military prowess.
• Their capital, Badami, is famous for its cave temples, which are exemplary specimens of Indian rock-cut architecture.
• The Chalukyas fought several wars with neighboring dynasties such as the Pallavas and the Rashtrakutas, which shaped the political landscape of the region.
• The Kadambas, on the other hand, are one of the earliest native dynasties to rule over Karnataka and are credited with laying the foundation for the later development of Kannada literature and culture.
• The period of Chalukya rule is often regarded as a golden age in the history of Karnataka, characterized by economic prosperity and cultural achievements.

The correct answer is Kesari

Key Points

• The song 'Teri mitti' is from the movie 'Kesari'.
• Kesari is a 2019 Indian Hindi-language action-war film starring Akshay Kumar and Parineeti Chopra.
• The film is based on the Battle of Saragarhi, where 21 soldiers of the Sikh regiment fought valiantly against 10,000 Afghan invaders in 1897.
• The song 'Teri mitti' is a patriotic song that pays tribute to the soldiers who laid down their lives for their country.
• The song was composed by Arko Pravo Mukherjee and sung by B Praak.

Additional Information

• Kesari was directed by Anurag Singh and produced by Karan Johar, Aruna Bhatia, Hiroo Yash Johar, Apoorva Mehta, and Sunir Khetarpal.
• The film received positive reviews from critics and audiences alike, particularly for its performances, action sequences, and music.
• The song 'Teri mitti' became an anthem of sorts for patriotism and is often played during national events and celebrations.
• Kesari grossed over ₹200 crore worldwide, making it one of the highest-grossing Bollywood films of 2019.

The correct answer is River Linkage Development.

Key Points

• River Linkage Development is NOT one of the main pillars of the 'Namami Gange Programme'.
• The main pillars of the 'Namami Gange Programme' include Industrial Effluent Monitoring, River-Front Development, and Sewerage Treatment Infrastructure.
• The programme aims at reducing pollution and rejuvenating the Ganga River by implementing various conservation and clean-up activities.
• It focuses on the treatment of sewage, maintaining the ecological flow, and creating public awareness and participation.

Additional Information

• The 'Namami Gange Programme' was launched by the Government of India in 2014.
• It is a flagship programme under the Ministry of Jal Shakti, aimed at integrating efforts to clean and protect the Ganga River in a comprehensive manner.
• The programme also includes activities like river surface cleaning, biodiversity conservation, and afforestation.
• It is funded by the Central Government and involves multiple stakeholders, including state governments and local communities.

The correct answer is Grameen Bank

Key Points

• Grameen Bank was established by Mohammad Yunus in 1983.
• It is a microfinance organization and community development bank founded in Bangladesh.
• Grameen Bank makes small loans (known as microcredit or "Grameencredit") to the impoverished without requiring collateral.
• The bank and its founder, Mohammad Yunus, were awarded the Nobel Peace Prize in 2006 for their efforts to create economic and social development from below.
• The model of microfinance pioneered by Grameen Bank has been replicated in many countries around the world.

Additional Information

• Microfinance is a type of banking service that is provided to unemployed or low-income individuals or groups who otherwise would have no other access to financial services.
• Microfinance allows people to take on reasonable small business loans safely, and in a manner that is consistent with ethical lending practices.
• Grameen Bank's approach is based on the idea that the poor have skills that are underutilized and that financial capital can help them to leverage these skills to improve their economic conditions.
• Mohammad Yunus's vision was to eradicate poverty through entrepreneurship and self-sustaining business practices among the poor.

The correct answer is 1999

Key Points

• The Swarnajayanti Gram Swarozgar Yojana (SGSY) was launched by the Government of India in 1999.
• The scheme aimed to bring the assisted poor families (Swarozgaris) above the poverty line by organizing them into Self Help Groups (SHGs) through a mix of bank credit and government subsidy.
• It focused on promoting self-employment in rural areas through the establishment of micro-enterprises.
• SGSY was a major anti-poverty scheme that targeted the rural poor, particularly women and vulnerable sections of society.
• The scheme was later restructured as the National Rural Livelihoods Mission (NRLM) in 2011 to further strengthen the self-employment approach.

Additional Information

• The SGSY scheme was implemented by the Ministry of Rural Development.
• It sought to provide sustainable income to the rural poor through a combination of economic activities, infrastructure support, and capacity building.
• Under the SGSY, assistance was provided to SHGs for the purchase of assets and skill development training.
• The scheme also emphasized the importance of marketing support and technology upgradation for the products produced by SHGs.
• SGSY was one of the flagship programs of the Indian government to alleviate rural poverty and promote inclusive growth.

The correct answer is Ceres

Key Points

• Ceres is the closest dwarf planet to Earth, orbiting at only 2.8 times Earth's distance from the sun.
• It is located in the asteroid belt between Mars and Jupiter.
• Ceres was the first dwarf planet to be visited by a spacecraft, NASA's Dawn mission, which provided detailed images and data about its surface and composition.
• Unlike other dwarf planets such as Pluto, Eris, and Makemake, which are located in the distant Kuiper Belt, Ceres resides much closer to the inner solar system.

Additional Information

• Ceres was discovered by Giuseppe Piazzi on January 1, 1801.
• It is named after the Roman goddess of agriculture.
• Ceres has a diameter of about 940 kilometers, making it the largest object in the asteroid belt.
• It is composed of a mixture of water ice and various hydrated minerals such as carbonates and clays.
• Studies suggest that Ceres may have a subsurface ocean, making it a target of interest in the search for extraterrestrial life.