SSC CHSL Tier-1 2024: Official Paper (Held On: 03 Jul, 2024 Shift 1) (Previous Year Paper)

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the use of the word "hardly."
• The word "hardly" means "barely" or "scarcely," which does not fit the context of the sentence.
• The correct word should be "hard" to convey that Ramya is putting in a lot of effort.
• Thus, the error is located in Option 1 of the sentence.

Therefore, the correct answer is Option 1.

Correct Sentence: "Ramya is working hard to get good marks."

Additional Information

• Ramya is working – This part of the sentence is grammatically correct and does not require any changes.
• to get good marks – This part of the sentence is grammatically correct and does not require any changes.
• No error – This would be the correct option if there were no mistakes in the sentence, but there is an error in Option 1.

The correct answer is Option 3.

Key Points

• The phrase "brought up a huge change" is incorrect.
• The correct phrase should be "brought about a huge change."
• "Brought about" is the correct phrasal verb to indicate causing something to happen.
• Thus, the error is located in Option 3 of the sentence.

Therefore, the correct answer is Option 3.

Correct Sentence: "His mother’s transfer from a small town to Delhi brought about a huge change in his schooling."

Additional Information

• Option 1: "His mother’s transfer," – This part of the sentence is grammatically correct and does not require any changes.
• Option 2: "from a small town to Delhi," – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "in his schooling." – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the omission of the article "a" before the term "type of fossilised wood."
• Singular countable nouns typically require an article ("a" or "an").
• The correct phrase should be "a type of fossilised wood," ensuring grammatical correctness and clarity.
• Thus, the error is located in the original sentence.

Therefore, the correct answer is Option 1.

Correct Sentence: "Petrified wood is a type of fossilised wood that exhibits the original details of the wood."

Additional Information

• Option 2: "A petrified wood is type of fossilised wood that exhibits an original details of the wood" – This option contains multiple errors, including the use of "A petrified wood" and "an original details."
• Option 3: "The petrified wood is the type of fossilised wood that exhibits a original details of the wood." – This option incorrectly uses "The petrified wood" and "a original details."
• Option 4: "Petrified wood is the type of fossilised wood that exhibits a original details of the wood." – This option incorrectly uses "the type" and "a original details."

The correct answer is Option 1.

Key Points

• The sentence, "Mrs. Meera and family received his letter a week ago," is grammatically correct.
• All parts of the sentence are properly constructed and there is no grammatical error.
• Therefore, there is no correction needed in any part of the sentence.

Therefore, the correct answer is No error.

Correct Sentence: "Mrs. Meera and family received his letter a week ago."

Additional Information

• Option 2: "received his letter" – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "Mrs. Meera and family" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "a week ago" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is 'feeling'.

Key Points

• The passage describes a sense of familiarity or déjà-vu experienced by many Americans on the afternoon of 30 March 1981.
• The appropriate noun should indicate an emotion or sensation experienced by the people.
• "Feeling" fits well as it accurately describes the sensation of déjà-vu referred to in the passage.
• Other options ("Blinking", "Recalling", "Dealing") do not appropriately capture the context of déjà-vu, a sensation of familiarity.

Therefore, the correct answer is 'Option 1'.

Complete Passage: On the afternoon of 30 March 1981, many Americans experienced a 1. feeling of déjà-vu. Déjà-vu is a name given to the feeling that a person has seen or experienced an event before. Many Americans could not help having that feeling on this day. The 2. ________ hit TVs and radios immediately. President Ronald Reagan had been shot. He was leaving a hotel in Washington DC, turned to wave at some of the people gathered to see him, and fell towards the ground. Before he could hit the ground, his Secret Service Agents 3. ________ him into the car and rushed to the nearest hospital. This same story had been heard before. On 22 November 1963 President John F Kennedy was riding in a motorcade through Dallas, Texas. He smiled and waved to the crowd that had gathered to see him. 4. ________ rang out from a nearby building. The President collapsed into the backseat of the car and was immediately taken to the nearest hospital. He was 5. ________ dead at the hospital. Now, just seventeen years later, the news sounded eerily the same.

Additional Information

• Blinking (पलक झपकना): "Blinking" refers to the action of shutting and opening the eyes, which does not fit the context of describing an emotional experience.
• Recalling (स्मरण करना): "Recalling" means remembering something, which suggests an active process of memory retrieval, not a passive sense of familiarity.
• Dealing (निपटना): "Dealing" means handling or addressing a situation, which does not match the idea of experiencing a feeling of familiarity.

The correct answer is 'news'.

Key Points

• The passage describes the immediate dissemination of information through TVs and radios.
• The appropriate noun should indicate something that can be broadcasted or reported immediately.
• "News" fits well as it conveys the appropriate context of information being shared widely via media channels.
• Other options ("arrow", "sceptre", "ball") do not appropriately capture the concept of information dissemination.

Therefore, the correct answer is 'Option 1'.

Complete Passage: On the afternoon of 30 March 1981, many Americans experienced a 1. feeling of déjà-vu. Déjà-vu is a name given to the feeling that a person has seen or experienced an event before. Many Americans could not help having that feeling on this day. The 2. news hit TVs and radios immediately. President Ronald Raegan had been shot. He was leaving a hotel in Washington DC, turned to wave at some of the people gathered to see him, and fell towards the ground. Before he could hit the ground, his Secret Service Agents 3. ________ him into the car and rushed to the nearest hospital. This same story had been heard before. On 22 November 1963 President John F Kennedy was riding in a motorcade through Dallas, Texas. He smiled and waved to the crowd that had gathered to see him. 4. ________ rang out from a nearby building. The President collapsed into the backseat of the car and was immediately taken to the nearest hospital. He was 5. ________ dead at the hospital. Now, just seventeen years later, the news sounded eerily the same.

Additional Information

• Arrow (तीर): "Arrow" refers to a weapon or direction indicator and does not suit the context of broadcasting information.
• Sceptre (राजदंड): "Sceptre" is a ceremonial staff, symbolizing authority, which is unrelated to news dissemination.
• Ball (गेंद): "Ball" refers to a spherical object, which is inappropriate in the context of information being reported.

The correct answer is 'whisked'.

Key Points

• The passage describes a quick, almost seamless action taken by Secret Service Agents.
• The appropriate verb should convey the promptness and urgency of moving President Ronald Reagan to safety.
• "Whisked" fits well as it conveys the sense of moving someone quickly and smoothly, which is fitting for the context of Secret Service Agents responding rapidly.
• Other options ("pulled", "pushed", "called") do not accurately capture the urgency and smoothness needed in the context.

Therefore, the correct answer is 'Option 1'.

Complete Passage: On the afternoon of 30 March 1981, many Americans experienced a 1. feeling of déjà-vu. Déjà-vu is a name given to the feeling that a person has seen or experienced an event before. Many Americans could not help having that feeling on this day. The 2. news hit TVs and radios immediately. President Ronald Reagan had been shot. He was leaving a hotel in Washington DC, turned to wave at some of the people gathered to see him, and fell towards the ground. Before he could hit the ground, his Secret Service Agents 3. whisked him into the car and rushed to the nearest hospital. This same story had been heard before. On 22 November 1963 President John F Kennedy was riding in a motorcade through Dallas, Texas. He smiled and waved to the crowd that had gathered to see him. 4. ________ rang out from a nearby building. The President collapsed into the backseat of the car and was immediately taken to the nearest hospital. He was 5. ________ dead at the hospital. Now, just seventeen years later, the news sounded eerily the same.

Additional Information

• Pulled (खींचा): "Pulled" suggests a forceful action that could imply a level of struggle or difficulty, which is not fitting for the smooth and quick transport of the President.
• Pushed (धक्का दिया): "Pushed" indicates moving someone with force, generally in a forward motion, which doesn't align with the context of being quickly moved into a car.
• Called (बुलाया): "Called" means to summon, which does not fit the context of physically moving someone quickly to safety.

The correct answer is 'shots'.

Key Points

• The passage describes an incident involving gunfire, specifically during an assassination attempt.
• The appropriate noun should indicate the sound associated with gunfire.
• "Shots" fits well as it accurately describes the sound of gunfire.
• Other options ("Alarm", "Music", "Prayers") do not fit the context of describing gunfire in an assassination attempt.

Therefore, the correct answer is 'Option 4'.

Complete Passage: On the afternoon of 30 March 1981, many Americans experienced a 1. feeling of déjà-vu. Déjà-vu is a name given to the feeling that a person has seen or experienced an event before. Many Americans could not help having that feeling on this day. The 2. news hit TVs and radios immediately. President Ronald Reagan had been shot. He was leaving a hotel in Washington DC, turned to wave at some of the people gathered to see him, and fell towards the ground. Before he could hit the ground, his Secret Service Agents 3. whisked him into the car and rushed to the nearest hospital. This same story had been heard before. On 22 November 1963 President John F Kennedy was riding in a motorcade through Dallas, Texas. He smiled and waved to the crowd that had gathered to see him. 4. Shots rang out from a nearby building. The President collapsed into the backseat of the car and was immediately taken to the nearest hospital. He was 5. _______ dead at the hospital. Now, just seventeen years later, the news sounded eerily the same.

Additional Information

• Alarm (अलार्म): "Alarm" suggests a signal or warning sound, which does not fit the context of describing gunfire.
• Music (संगीत): "Music" refers to sound produced by singing or instruments, inappropriate for the context of an assassination situation.
• Prayers (प्रार्थना): "Prayers" suggests religious invocations, which does not match the immediate context of sounds heard during a shooting.

The correct answer is 'pronounced'.

Key Points

• The passage describes the official declaration of death at a hospital.
• The appropriate verb should indicate a formal announcement by medical personnel.
• "Pronounced" fits well as it conveys the medical confirmation of death.
• Other options ("shot", "acting", "almost") do not fit the context of an official medical declaration.

Therefore, the correct answer is 'Option 2'.

Complete Passage: On the afternoon of 30 March 1981, many Americans experienced a 1. feeling of déjà-vu. Déjà-vu is a name given to the feeling that a person has seen or experienced an event before. Many Americans could not help having that feeling on this day. The 2. news hit TVs and radios immediately. President Ronald Reagan had been shot. He was leaving a hotel in Washington DC, turned to wave at some of the people gathered to see him, and fell towards the ground. Before he could hit the ground, his Secret Service Agents 3. whisked him into the car and rushed to the nearest hospital. This same story had been heard before. On 22 November 1963 President John F Kennedy was riding in a motorcade through Dallas, Texas. He smiled and waved to the crowd that had gathered to see him. 4. Shots rang out from a nearby building. The President collapsed into the backseat of the car and was immediately taken to the nearest hospital. He was 5. pronounced dead at the hospital. Now, just seventeen years later, the news sounded eerily the same.

Additional Information

• Shot (गोलियों): "Shot" describes the action or condition but doesn't fit as a posthumous declaration.
• Acting (अभिनय): "Acting" describes performing and is unrelated to the declaration of death.
• Almost (लगभग): "Almost" suggests something nearly happened, which is inappropriate for confirming death.

The correct answer is: Option 2.

Key Points

• The word "Ommision" is incorrectly spelt.
• The correct spelling is "Omission". (चूक)
• ​"Omission" means something that has been left out or excluded. (चूक)
• Example: The omission of important details can lead to misunderstandings.

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

Additional Information

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

• Aspirant (आकांक्षी): A person who has ambitions to achieve something.
• Example: She is an aspirant for the top position in the company.
• License (लाइसेंस): A permit from an authority to own or use something, do a particular thing, or carry on a trade.
• Example: He finally received his driver's license after months of practice.
• Autonomous (स्वायत्त): Having the freedom to govern itself or control its own affairs.
• Example: The university is an autonomous institution, free from governmental control.

The correct answer is Option 2.

Key Points

• The preposition "of" correctly connects "lost much" with "her body weight."
• The phrase "much of her body weight" is the idiomatic expression that should be used here.
• The correct construction ensures clarity and correctness in the sentence.

Therefore, the correct answer is Option 2.

Correct Sentence: "The woman lost much of her body weight due to diabetes."

Additional Information

• Option 1: "from her body weight due to" – "From" is not a suitable preposition in this context.
• Option 3: "for her body weight due to" – "For" is not a suitable preposition in this context.
• Option 4: "off her body weight due to" – "Off" is not a suitable preposition in this context.

The correct answer is: 'Last course of action'.

Key Points

• The idiom "Last resort" means the final course of action that one takes when all other options have failed. (आखिरी उपाय)
• Example: When all negotiations failed, the company had to take legal action as a last resort.
• "Last course of action" refers to the final option available when all other methods have been exhausted. (अंतिम उपाय)
• Example: As a last course of action, they decided to evacuate the building.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Last hotel on the way (रास्ते में आखिरी होटल): The final hotel available on a route.
• Example: We stayed at the last hotel on the way before reaching our destination.
• Last friend remaining (आखिरी दोस्त बचा हुआ): The final friend left in a group.
• Example: He was my last friend remaining from our school days.
• Last ride (अंतिम सवारी): The final ride or journey.
• Example: We took our last ride together before he moved to another city.

The correct answer is: Flee.

Key Points

• The word "Abscond" means to leave hurriedly and secretly, typically to avoid detection or arrest for an unlawful action such as theft. (गायब होना)
• Example: The accountant absconded with the company's funds.
• "Flee" means to run away from a place or situation of danger. (भाग जाना)
• Example: They had to flee the country to escape political persecution.
• Hence, the correct answer is Flee.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Stay (रुकना): To remain in the same place.
• Example: We decided to stay at the hotel for another night.
• Avoid (बचना): To keep away from or stop oneself from doing something.
• Example: He tried to avoid talking about the incident.
• Annoy (परेशान करना): To make someone a little angry; irritate.
• Example: His constant humming annoyed everyone in the office.

The correct answer is: Secret.

Key Points

• The word "Confidential" means intended to be kept secret or private. (गोपनीय)
• Example: The document contains confidential information about the company’s future plans.
• "Secret" refers to something that is meant to be kept unknown or unseen by others. (गुप्त)
• Example: The secret recipe for the cake has been passed down through generations.
• Hence, the correct synonym is Secret.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Limited (सीमित): Restricted in size, amount, or extent.
• Example: The offer is available for a limited time only.
• Open source (मुक्त स्रोत): Software for which the original source code is made freely available and may be redistributed and modified.
• Example: Linux is an open source operating system.
• Public (सार्वजनिक): Concerning or affecting all or most of the people in a community or country.
• Example: The public library is open to everyone.

The correct answer is Option 3)

Key Points

• The primary issue in the sentence is that it is missing the auxiliary verb "could" to correctly convey the past ability to hear the watch ticking.
• The correct form should be "could hear his watch ticking" to ensure grammatical correctness.
• The use of "could" indicates a past ability, which aligns with the context of the sentence.

Therefore, the correct answer is Option 3.

Correct Sentence: "Gulliver could hear his watch ticking in his pocket."

Additional Information

• Option 1: "could hear his watch ticked" – Incorrect because "ticked" is the past tense form and does not fit here.
• Option 2: "watch ticking" – Incorrect because it does not resolve the issue of the missing auxiliary verb "could."
• Option 4: "heard his watch tickling" – Incorrect because "tickling" is the wrong verb form and changes the meaning of the sentence.

Hence, the correct statement is: "Gulliver could hear his watch ticking in his pocket."

The correct answer is: Strict.

Key Points

• The word "lenient" means permissive, merciful, or tolerant. (उदार)
• Example: The teacher was lenient with the students who were late to class.
• "Strict" refers to enforcing rules or discipline rigidly, without leniency. (सख्त)
• Example: The school has a strict policy on attendance and punctuality.
• Hence, we can infer that the opposite of 'lenient' is 'strict'.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Kind (दयालु): Having a friendly, generous, and considerate nature.
• Example: She is always very kind to animals.
• Rowdy (उपद्रवी): Noisy and disorderly.
• Example: The rowdy crowd disrupted the event.
• Rude (असभ्य): Offensively impolite or ill-mannered.
• Example: It is rude to interrupt someone while they are speaking.

The correct answer is: Scandalous.

Key Points

• "Scandalous" is the correct spelling of the word in the given sentence.
• The word "scandalous" refers to something that causes public outrage or shock due to its improper or immoral nature.
• Example: Nobody could move on after such a scandalous allegation is made on them.

Therefore, the correct answer is: Option 1 i.e. scandalous.

Additional Information

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

• Scendolous: This is an incorrect spelling and does not have a meaning.
• Skandelous: This is an incorrect spelling and does not have a meaning.
• Scandelous: This is an incorrect spelling and does not have a meaning.

The correct answer is 'women are the primary caregivers of'.

Key Points

• The primary issue in the sentence is the incorrect placement of the words, which affects the clarity and grammatical structure.
• The correct phrase should be "women are the primary caregivers of," ensuring grammatical correctness and clarity.
• Thus, the error is located in the original underlined segment of the sentence.

Therefore, the correct answer is Option 1.

Correct Sentence: "In every country of the world, women are the primary caregivers of children and elders."

Additional Information

• Option 2: "primary caregivers women are of the" – This option is grammatically incorrect as it disrupts the logical flow of the sentence.
• Option 3: "women are the caregivers primary of" – This option is also grammatically incorrect due to improper word order.
• Option 4: "the women primary caregivers are of" – This option is grammatically incorrect and awkward in structure.

The correct answer is: Hazard.

Key Points

• The word "danger" means the possibility of suffering harm or injury. (खतरा)
• Example: There is a danger of falling rocks on this trail.
• "Hazard" refers to something that can cause harm or danger. (संकट)
• Example: Wet floors are a common hazard in workplaces.
• Hence, we can infer that the synonym of 'danger' is 'hazard'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Conflict (संघर्ष): A serious disagreement or argument.
• Example: The conflict between the two countries lasted for years.
• Empathy (सहानुभूति): The ability to understand and share the feelings of another.
• Example: She showed empathy towards the victims of the disaster.
• Toil (कठिन परिश्रम): Hard and continuous work.
• Example: He toiled for hours under the hot sun.

The correct answer is: Clarify.

Key Points

• The word "interpret" means to explain the meaning of information, words, or actions. (व्याख्या करना)
• Example: It’s important to interpret the data accurately to make informed decisions.
• "Clarify" means to make a statement or situation less confused and more comprehensible. (स्पष्ट करना)
• Example: The teacher's explanation helped to clarify the complex topic for the students.
• Hence, we can infer that the synonym of 'interpret' is 'clarify'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Complicate (जटिल बनाना): To make something more difficult or less straightforward.
• Example: Adding too many details can complicate the instructions.
• Cleanse (साफ करना): To make something thoroughly clean.
• Example: She used a special lotion to cleanse her face.
• Celebrate (जश्न मनाना): To acknowledge a significant or happy day or event with a social gathering or enjoyable activity.
• Example: We plan to celebrate her birthday with a big party.

The correct answer is: Propitious.

Key Points

• The word "Adverse" means something that is preventing success or development; harmful or unfavourable. (प्रतिकूल)
• Example: The adverse weather conditions forced us to postpone the event.
• "Propitious" refers to something that gives or is likely to give a good result; favourable. (अनुकूल)
• Example: The clear skies and calm winds were propitious signs for the journey ahead.
• Hence, we can infer that the opposite of 'Adverse' is 'Propitious'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Striking (प्रभावशाली): Attracting attention by reason of being unusual, extreme, or prominent.
• Example: The painting's striking colors immediately caught everyone's attention.
• Critical (आलोचनात्मक): Expressing adverse or disapproving comments or judgments.
• Example: The review was highly critical of the new play.
• Listless (उदासीन): Lacking energy or enthusiasm.
• Example: He felt listless after the long, exhausting week.

The correct answer is: Energetic.

Key Points

• The word "vivacious" means lively, animated, and full of energy. (जीवंत)
• Example: Her vivacious personality made her the life of the party.
• "Energetic" refers to someone who is very active, vigorous, and full of energy. (ऊर्जावान)
• Example: He is an energetic young man who loves playing sports.
• Hence, we can infer that the synonym of 'vivacious' is 'energetic'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Liberal (उदार): Open to new behavior or opinions and willing to discard traditional values.
• Example: She has liberal views on education and supports progressive teaching methods.
• Legendary (पौराणिक): Remarkable enough to be famous; very well known.
• Example: His legendary exploits in battle were known far and wide.
• Atrocious (क्रूर): Horrifyingly wicked or of a very poor quality.
• Example: The crime scene was atrocious and left everyone in shock.

The correct answer is: A hidden advantage.

Key Points

• The idiom "Ace in the hole" means a hidden advantage or a resource kept in reserve, especially one that is revealed at a crucial moment. (गुप्त लाभ)
• Example: She always has an ace in the hole during negotiations, which is why she often comes out on top.
• "Hidden advantage" refers to an asset or piece of information that is kept secret until it is needed to gain an advantage. (गुप्त लाभ)
• Example: The company's new product line was their hidden advantage in the competitive market.

Therefore, the correct answer is: Option 4.

Additional Information

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

• A second chance to do something (कुछ करने का दूसरा मौका): An opportunity to try again after a failure.
• Example: He got a second chance to do the project after his initial failure.
• A lot to do (बहुत कुछ करना): Having many tasks or responsibilities.
• Example: She has a lot to do before the deadline tomorrow.
• On the point of (के बिंदु पर): About to do something or very close to a particular moment.
• Example: He was on the point of leaving when the phone rang.

The correct answer is 'smiled'.

Key Points

• The word "smiled" means to express pleasure, favour, or amusement through a facial expression. (मुस्कुराया)
• When someone greets an interview committee, a respectful and pleasant expression, like a smile, is appropriate.
• The other options: "leered," "grinned," and "smirked" have connotations that are less appropriate or imply meanings that do not fit the context.

​Therefore, the correct answer is 'Option 3'.

Complete Sentence: She smiled gracefully and greeted the interview committee with respect.

Additional Information

• Leered (मलिन दृष्टि से देखना): means to look or gaze in an unpleasant, malicious, or lascivious way.
• Grinned (हंसी हंसी दिखाना): means to smile broadly, often in an informal or mockingly humorous manner.
• Smirked (व्यंग्य हंसी करना): means to smile in a self-satisfied, smug, or conceited way.

The correct answer is in.

Key Points

• The primary issue in the sentence is the use of the preposition "at" with the verb "work."
• The correct preposition to use in this context is "in," indicating the place where the work will take place.
• The correct phrase should be "to work in."
• Thus, the error is located in the prepositional phrase of the sentence.

Therefore, the correct answer is Option 4.

Correct Sentence: "I will require a quiet room to work in."

Additional Information

• Option 1: "with" – This preposition does not fit the context of the sentence and would be grammatically incorrect.
• Option 2: "about" – This preposition does not fit the context of the sentence and would be grammatically incorrect.
• Option 3: "on" – This preposition is often used with tasks or projects but not with the place where work is done.

The logic followed here is :

1. For '

' element → Rotating in the anti-clockwise direction subsequently.

Thus, the final series is :

Hence, "Option - (4)" is the correct answer.

Decoding the Symbols:

Given : A × B – C 

A × B → A is the brother of B.

B – C → B is the mother of C.

So, 

Option - (1): A is the father’s father of C → Incorrect, as A is the maternal uncle of C.

Option - (2): A is the father’s brother of C → Incorrect, as A is the maternal uncle of C.

Option - (3): A is the father of C → Incorrect, as A is the maternal uncle of C.

Option - (4): A is the mother’s brother of C → Correct

Hence, the correct answer is "Option - (4)".

Given: 15 January 2019 was Tuesday.

Now,

2019 to 2020 = 1 Year (1 Ordinary Year).

And, In 1 Year = 1 Ordinary Year.

then, 15 January 2020 will be Tuesday + 1 = Wednesday.

Now, the number of days between 15 January 2020 to 29 January 2020

= 14 days.

= 14 days → 14/7 = 2 weeks and 0 odd day.

So, 29 January 2020 will be Wednesday .

Hence, the correct answer is "Option 3".

The logic followed here is: (3) is subtracted from the position values according to the English alphabetic series.

So,

HJKN is related to EGHK

And,

QSTW is related to NPQT

Similarly,

IKLO is related to

Hence, "Option - (1)" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 4".

The logic followed here is : [(1st number × 2) + 2nd number] ÷ 10 = 3rd number

Given : 

(10, 20, 4)

[(10 × 2) + 20] ÷ 10 = 4 

**[**20 + 20] ÷ 10 = 4 

40 ÷ 10 = 4

4 = 4 (LHS = RHS)

And,

(15, 30, 6) 

[(15 × 2) + 30] ÷ 10 = 6

[30 + 30] ÷ 10 = 6

60 ÷ 10 = 6

6 = 6 (LHS = RHS)

So,

Option - (1) : (20, 40, 8) 

[(20 × 2) + 40] ÷ 10 = 8

[40 + 40] ÷ 10 = 8

80 ÷ 10 = 8

8 = 8 (LHS = RHS)

Option - (2) : (20, 30, 8)

[(20 × 2) + 30] ÷ 10 = 6

[40 + 30] ÷ 10 = 6

70 ÷ 10 = 6

7 ≠ 6 (LHS ≠ RHS)

Option - (3) : (20, 40, 6)

[(20 × 2) + 40] ÷ 10 = 6

[40 + 40] ÷ 10 = 6

80 ÷ 10 = 6

8 ≠ 6 (LHS ≠ RHS)

Option - (4) : (10, 40, 8) 

[(10 × 2) + 40] ÷ 10 = 8

[20 + 40] ÷ 10 = 8

60 ÷ 10 = 8

7 ≠ 8 (LHS ≠ RHS)

Hence, "Option - (1)" is the correct answer.

Given : 66 × 11 - 26 + 3 ÷ 9 = ?

After '+' and ‘-' are interchanged and '×' and ‘÷' are interchanged then,

⇒ 66 ÷ 11 + 26 - 3 × 9 = ?

⇒ 6 + 26 - 3 × 9 = ?

⇒ 32 - 27 = 5.

Hence, "Option 2" is the correct answer.

Logic: No specific pattern is followed here, letters are shifted randomly within the word.

​​So,

‘MENIAL’ is coded as ‘NIEAML’ 

​ 

​And,

‘INCOME' is coded as ‘CONMIE’

​ 

​Similarly,

‘FOREGO’ is coded as

​ 

Hence, "Option - (4)" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 3".

Logic : Cubes of increasing number series are subtracted subsequently.

Hence, "274" is the correct answer.

The faces opposite to each other are shown below:

⇒ As the alternate positions become opposite to each other, the remaining two faces become opposite to each other.

So, opposite pairs are:

X → W

Z → U

V → Y

Therefore, 'Y' is the opposite of 'V'.

Hence, "Y" is the correct answer.

Given :333 × 3 + 11 - 5 ÷ 5 = ?

According to the question, after replacing the signs :

‘+’ and ‘-’ are interchanged and,

‘×’ and ‘÷’ are interchanged

So,​​

333 × 3 + 11 - 5 ÷ 5 = ? ⇒ 333 ÷ 3 - 11 + 5 × 5 = ?

333 ÷ 3 - 11 + 5 × 5 = ?

111 - 11 + 5 × 5 = ?

111 + 25 - 11 = ?

136 - 11 = 125

Hence, "125" is the correct answer.

The logic followed here is:-

From the given two different cubes the adjacent sides are as shown below :

As 1 is common on both the dice, it is clear that 6, 8, 5, and 2 are adjacent to it and the remaining number i.e., 3 will be opposite to it.

Opposite pairs:

6 → 5

8 → 2

1 → 9

So, the opposite side of "8" will be side "2".

Hence, the correct answer is "2".

The logic followed here is: 

First two letters → Increasing number series is added to the position values according to the English alphabetic series.

Numbers → Odd number series is added to the given numeric series.

So,

​

Hence, "Option - (2)" is the correct answer.

Logic: 

First and second letter → (5) is added to the position value according to the English alphabetic series.

Second and third letter → (1) is subtracted from the position value according to the English alphabetic series.

Third and fourth letter → (1) is subtracted from the position value according to the English alphabetic series.

​​So,

Option - (1): RWVU

Option - (2): PUTS

Option - (3): AFED

Option - (4): IMNL

Thus, out of all the options "IMNL" is the odd one out.

Hence, "Option - (4)" is the correct answer.

Given :TRIC_TRI_KT_IWK_R_TK

By checking options :

Option 1) KZRTI → TRICK / TRIZK / TRIWK / TRITK → (It follows the pattern)

Option 2) KIRTA → TRICKTRIIKTRIWKTRATK → (It doesn't Follow the pattern)

Option 3) KBTIR → TRICKTRIBKTTIWKIRRTK → (It doesn't Follow the pattern)

Option 4) KATIR → TRICKTRIAKTTIWKIRRTK → (It doesn't Follow the pattern)

So, out of all the options "Option - (1)" follows the pattern.

Hence, "Option 1" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 1".

The number of triangles in the given figure is shown below :

Here, as marked there are a total of 13 triangles.

Hence, "13" is the correct answer.

Logic : Alternately (67) and (43) are subtracted subsequently.

Hence, "152" is the correct answer.

According to the given information,

Thus, according to the given codes 'rq' is the code for the word 'off'.

Hence, the correct answer is "rq".

The logic followed here is:

Logic: 1st number + (1st number ÷ 3) = 2nd number.

Now,

For, 72 : 96

⇒ 72 + (72 ÷ 3)

= 72 + 24 = 96.

For, 66 : 88

⇒ 66 + (66 ÷ 3)

= 66 + 22 = 88.

Similarly, for 78 ∶ 104

⇒ 78 + (78 ÷ 3) = 104

⇒ 78 + 26 = 104.

Hence, the correct answer is "Option 2".

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

Conclusions:

I. Some streets are houses → Does not follow (As all paints are houses, all houses are wood and some streets are wood. So, it is possible but not definitely true)

II. All paints are wood → Follow (As all paints are houses and all houses are wood. So, as whole paints comes in houses which whole comes in wood therefore it is true)

∴ Here, Only conclusion (II) follows.​

Hence, the correct answer is "Only conclusion (II) follows"

The logic followed here is: (3) is added to the position values according to the English alphabetic series.

So,

​

Hence, "Option - (3)" is the correct answer.

Given: 3 April 1996 was Wednesday.

Now,

1996 to 2001 = 5 Years (4 Ordinary Year and 1 Leap Year).

And, In 5 Years = 1 Leap year and 4 Ordinary Year.

So, 1 Leap Year has 2 odd days,

And, 4 Ordinary Year has 4 odd days.

Total odd days = 2 + 4 = 6.

then, 3 April 2001 will be Wednesday + 6 = Tuesday.

Now, the number of days between 3 April 2001 to 7 April 2001 = 4 days.

So, 7 April 2001 will be Tuesday + 4 = Saturday.

Hence, the correct answer is "Option 3".

Given : 16 - 33 + 11 ÷ 22 × 5 = ?

According to the question, after replacing the signs :

‘+’ and ‘÷’ are interchanged and,

‘×’ and ‘-’ are interchanged

So,​​

16 - 33 + 11 ÷ 22 × 5 = ? ⇒ 16 × 33 ÷ 11 + 22 - 5 = ?

16 × 33 ÷ 11 + 22 - 5 = ?

16 × 3 + 22 - 5 = ?

48 + 22 - 5 = ?

70 - 5 = ?

65 = ?

Hence, "65" is the correct answer.

Given:

DC = 12 cm and BC = 6 cm

Concept:

According to the tangent-secant theorem, the square of the length of the tangent segment (DC) is equal to the product of the lengths of the secant segment (BC) and its external segment (AC).

Formula Used:

DC² = BC × (BC + AB)

Calculation:

We have,

⇒ DC = 12 cm and BC = 6 cm

⇒ DC² = BC × (BC + AB)

⇒ 12² = 6 × (6 + AB)

⇒ 144 = 6 × (6 + AB)

⇒ 144 = 36 + 6AB

⇒ 144 - 36 = 6AB

⇒ 108 = 6AB

⇒ AB = 108 / 6

⇒ AB = 18 cm

∴ The length of AB is 18 cm.

Given:

A retail fruit vendor buys a score of apples for ₹400 and retails them for ₹264 at a dozen. (a score = 20 no’s)

Concept:

To find the profit or loss percentage, we need to compare the cost price (CP) and selling price (SP) of the apples.

Formula Used:

Profit or Loss Percentage = [(SP - CP) / CP] × 100

Calculation:

We have,

⇒ Cost Price (CP) of 20 apples = ₹400

⇒ Selling Price (SP) of 1 dozen (12) apples = ₹264

⇒ Selling Price (SP) of 1 apple = ₹264 / 12 = ₹22

⇒ Selling Price (SP) of 20 apples = ₹22 × 20 = ₹440

⇒ Profit = SP - CP = ₹440 - ₹400 = ₹40

⇒ Profit Percentage = (Profit / CP) × 100

⇒ Profit Percentage = (₹40 / ₹400) × 100

⇒ Profit Percentage = 10%

∴ The vendor makes a 10% profit.

Given:

Marked price (MP) of the article = Rs. 600

Two successive discounts = 10% and 20%

Transportation cost = Rs. 68

Selling price (SP) = Rs. 600

Concept:

To find the cost price (CP) after successive discounts and add transportation cost to find the total CP. Then, compare CP with SP to find gain or loss percentage.

Formula Used:

Successive discount formula:

Effective Discount = d1 + d2 - (d1 × d2) / 100

Gain or Loss Percentage = [(SP - CP) / CP] × 100

Calculation:

Step 1: Calculate the effective discount:

⇒ Effective Discount = 10% + 20% - (10% × 20%) / 100

⇒ Effective Discount = 30% - 2%

⇒ Effective Discount = 28%

Step 2: Calculate the cost price after discount:

⇒ Discount Amount = (28 / 100) × 600

⇒ Discount Amount = 168

⇒ CP after discount = MP - Discount Amount

⇒ CP after discount = 600 - 168

⇒ CP after discount = 432

Step 3: Add transportation cost to the CP:

⇒ Total CP = CP after discount + Transportation cost

⇒ Total CP = 432 + 68

⇒ Total CP = 500

Step 4: Calculate the gain or loss percentage:

⇒ Gain or Loss = SP - Total CP

⇒ Gain or Loss = 600 - 500

⇒ Gain or Loss = 100

⇒ Gain Percentage = (100 / 500) × 100

⇒ Gain Percentage = 20%

∴ The shopkeeper made a 20% profit.

Given:

Radius of the first circle (r₁) = 32 cm

Radius of the second circle (r₂) = 8 cm

Distance between the centers of the two circles (AB) = 30 cm

Formula used:

Length of the direct common tangent (L) is given by:

$L = \sqrt{d^2 - (r₁ - r₂)^2}$

Calculations:

Substitute the given values:

⇒ L = $\sqrt{30^2 - (32 - 8)^2}$

⇒ L = $\sqrt{900 - (24)^2}$

⇒ L = $\sqrt{900 - 576}$

⇒ L = $\sqrt{324}$

⇒ L = 18 cm

∴ The length of CD is 18 cm.

Given:

The table shows the production of cars in a company from 2016 to 2020:

There was a continuous increase in the production of cars of which type during the period 2016 to 2020? 

Concept:

To determine the type of car with a continuous increase in production over the years, we need to compare the production values for each type across the given years.

Calculation:

Production of cars of type A: 30, 23, 39, 25, 18

⇒ No continuous increase.

Production of cars of type B: 16, 10, 14, 12, 8

⇒ No continuous increase.

Production of cars of type C: 15, 18, 19, 25, 30

⇒ Continuous increase.

Production of cars of type D: 31, 12, 21, 19, 20

⇒ No continuous increase.

∴ The type of car with a continuous increase in production from 2016 to 2020 is C.

Shortcut Trick

Volume of a sphere is proportional to the cube of its radius (V ∝ r³).

Initial radius ratio = 1 : 2

Volume ratio = 1³ : 2³

Volume ratio = 1 : 8

The volume becomes 8 times the previous volume.

∴ The correct answer is eight.

Alternate Method

Given:

Initial radius = r₁

Final radius = r₂ = 2 × r₁

Formula Used:

Volume of Sphere (V) = (4/3) × π × r³

 r V<sub>1</sub> = (4/3)πr<sup>3</sup>   r → 2r     2r V<sub>2</sub> = (4/3)π(2r)<sup>3</sup> = 8V<sub>1</sub>

Calculations:

⇒ Let initial volume be V₁ = (4/3) × π × r₁³

⇒ Let final volume be V₂ = (4/3) × π × r₂³

⇒ Substitute r₂ = 2r₁ in the volume formula:

⇒ V₂ = (4/3) × π × (2r₁)³

⇒ V₂ = (4/3) × π × 8r₁³

⇒ V₂ = 8 × [(4/3) × π × r₁³]

⇒ V₂ = 8 × V₁

∴ The correct answer is eight.

Additional Information

Surface Area of Sphere

The total surface area of a sphere is given by A = 4 × π × r². If radius is doubled, the surface area becomes 4 times.

Volume of Hemisphere

The volume of a hemisphere is exactly half of a sphere: V = (2/3) × π × r³.

Hemisphere Surface Areas

Curved Surface Area (CSA) = 2 × π × r² | Total Surface Area (TSA) = 3 × π × r².

Given:

Equation of a straight line: 5x + 12y = 60

Concept used:

The intercept form of a straight-line equation: $\frac{x}{a} + \frac{y}{b} = 1$

Where a and b are x and y intercepts respectively.

Calculation:

5x + 12y = 60

Dividing by 60 on both sides,

⇒ $\frac{5x}{60}+\frac{12y}{60} =\frac{60}{60}$

⇒ $\frac{x}{12}+\frac{y}{5} =1$

Here,

x-intercept = a = 12

y-intercept = b = 5

Now,

The length of the line segment intercepted between the axes is given by the distance between the intercepts:

Length = $\sqrt{a^2+b^2}$

⇒ Length = $\sqrt{12^2+5^2}$

⇒ Length = $\sqrt{144+25}$

⇒ Length = $\sqrt{169}$ = 13 cm

∴ The correct answer is option (2).

Given:

Percentage of votes received by the winning candidate = 78%

Majority = 448 votes

Formula used:

Majority = Votes received by the winner - Votes received by the loser

Total votes polled = Votes received by the winner + Votes received by the loser

Calculation:

⇒ Votes received by the winner = (78/100) × Total votes

⇒ Votes received by the loser = (22/100) × Total votes

⇒ Majority = (78/100) × Total votes - (22/100) × Total votes

⇒ 448 = [(78 - 22)/100] × Total votes

⇒ 448 = (56/100) × Total votes

⇒ Total votes = (448 × 100) / 56

⇒ Total votes = 800

∴ The total number of votes polled is 800.

Given:

An 8 digit number is divisible by 99. If the digits are shuffled, then the number is always divisible by __________.

Concept:

A number is divisible by 99 if and only if it is divisible by both 9 and 11.

Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.

Divisibility by 11: A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is divisible by 11.

Calculation:

Given that the 8-digit number is divisible by 99, it must be divisible by both 9 and 11.

When the digits of a number are shuffled, the sum of its digits remains the same, and so does the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions.

⇒ The sum of the digits remains divisible by 9.

⇒ The difference between the sum of the digits in the odd positions and the sum of the digits in the even positions remains divisible by 11.

Therefore, the number formed by shuffling the digits will also be divisible by both 9 and 11.

∴ The number is always divisible by 9.

Calculation:

The total production by companies X = 128000 + 110000 + 102000 + 80000 + 109000 + 170000

⇒ 699000

The total production by companies Y = 141000 + 192000 + 145000 + 130000 + 122000 + 161000

⇒ 891000

The approximate difference between the total production by companies X and Z in the given years

⇒ 891000 - 699000

⇒ 192000 

∴ The approximate difference between the total production by companies X and Z in the given years is 192000.

Shortcut Trick

Check if the first divisor is completely divisible by the second divisor.

⇒ 512 ÷ 32 = 16 (completely divisible).

To find the new remainder, simply divide the first remainder by the second divisor.

⇒ 67 ÷ 32 leaves a remainder of 3.

∴ The correct answer is 3.

Alternate Method

Given:

A number leaves a remainder 67 when divided by 512.

Formula Used:

Dividend = Divisor × Quotient + Remainder

Calculation:

Let the number be N and the quotient be q.

⇒ N = 512q + 67

We need to find the remainder when N is divided by 32.

Rewrite the equation in terms of 32:

⇒ N = (32 × 16q) + (32 × 2) + 3

⇒ N = 32(16q + 2) + 3

Let (16q + 2) = k, where k is an integer.

⇒ N = 32k + 3

This shows that when N is divided by 32, the quotient is k and the remainder is 3.

∴ The correct answer is 3.

Additional Information

Division Algorithm

For any given integers a and b (where b > 0), there exist unique integers q and r such that a = bq + r, where 0 ≤ r < b.

Remainder Property in Successive Divisions

If a number leaves a remainder R₁ when divided by D₁, then dividing the same number by D₂ (where D₂ is a factor of D₁) will give the exact same remainder as dividing R₁ by D₂.

Given:

The defeated candidate secured 42% of the valid votes polled and lost by 2545800 votes.

365500 votes were declared invalid.

30% of people did not cast their vote.

Concept:

To determine the total electorate, we need to calculate the total number of votes and account for the percentage of people who did not vote.

Formula Used:

Total Valid Votes = Votes secured by defeated candidate / Percentage secured by defeated candidate

Total Votes Polled = Total Valid Votes + Invalid Votes

Total Electorate = Total Votes Polled / (1 - Percentage of people who did not vote)

People who did not cast their votes = Total Electorate × Percentage of people who did not vote

Calculation:

⇒ Let the total valid votes be V.

⇒ Defeated candidate secured 42% of valid votes, so:

⇒ V × 42% = 0.42V

⇒ Winning candidate secured (100% - 42%) = 58% of valid votes, so:

⇒ V × 58% = 0.58V

⇒ The difference in votes between the winning and defeated candidate is 2545800:

⇒ 0.58V - 0.42V = 2545800

⇒ 0.16V = 2545800

⇒ V = 2545800 / 0.16

⇒ V = 15911250

⇒ Total Votes Polled = V + Invalid Votes

⇒ Total Votes Polled = 15911250 + 365500

⇒ Total Votes Polled = 16276750

⇒ Total Electorate = Total Votes Polled / (1 - Percentage of people who did not vote)

⇒ Total Electorate = 16276750 / (1 - 0.30)

⇒ Total Electorate = 16276750 / 0.70

⇒ Total Electorate ≈ 23252500

⇒ People who did not cast their votes = Total Electorate × Percentage of people who did not vote

⇒ People who did not cast their votes = 23252500 × 0.30

⇒ People who did not cast their votes ≈ 6975750

∴ The approximate number of people (in millions) in the electorate who did NOT cast their votes is 7 million**.**

Shortcut Trick

For symmetric trigonometric expressions, substitute a standard angle like θ = 45°.

Substituting θ = 45°: (cot 45° + tan 45°) × (cosec 45° − sin 45°) × (cos 45° − sec 45°)

⇒ (1 + 1) × (√2 − 1/√2) × (1/√2 − √2)

⇒ 2 × (1/√2) × (−1/√2) = 2 × (−1/2) = −1.

∴ The correct answer is -1.

Alternate Method

Given: Expression = (cot θ + tan θ)(cosec θ − sin θ)(cos θ − sec θ)

Formula Used: cot θ = cos θ/sin θ, tan θ = sin θ/cos θ, cosec θ = 1/sin θ, sec θ = 1/cos θ

⇒ First part: (cos θ/sin θ + sin θ/cos θ) = (cos² θ + sin² θ)/(sin θ cos θ) = 1/(sin θ cos θ)

⇒ Second part: (1/sin θ − sin θ) = (1 − sin² θ)/sin θ = cos² θ/sin θ

⇒ Third part: (cos θ − 1/cos θ) = (cos² θ − 1)/cos θ = −sin² θ/cos θ

⇒ Expression = [1/(sin θ cos θ)] × [cos² θ/sin θ] × [−sin² θ/cos θ]

⇒ Expression = [−sin² θ cos² θ] / [sin² θ cos² θ] = −1.

∴ The correct answer is -1.

Additional Information

Fundamental Trigonometric Identities

1. sin² θ + cos² θ = 1 | 2. 1 + tan² θ = sec² θ | 3. 1 + cot² θ = cosec² θ.

Reciprocal Relations

cosec θ = 1/sin θ, sec θ = 1/cos θ, and cot θ = 1/tan θ.

Ratio Formulas

tan θ = sin θ/cos θ and cot θ = cos θ/sin θ.

Value Substitution Method

To simplify complex identities, angles like 0°, 45°, or 90° can be substituted provided the terms remain defined (not infinite).

Given:

Two stations T1 and T2 are 300 km apart. A car starts from station T1 at 8 am towards T2 at 45 km/hr. At 10 am, another car starts from station T2 towards T1 at 60 km/hr.

Concept:

To find the meeting time of two moving objects, we calculate the time when the sum of the distances covered by both objects equals the total distance between them.

Formula Used:

Distance = Speed × Time

Calculation:

1. Calculate the distance covered by the first car by 10 am:

⇒ Distance_{first car} = Speed × Time

⇒ Distance_{first car} = 45 km/hr × 2 hrs

⇒ Distance_{first car} = 90 km

2. Remaining distance to be covered after 10 am:

⇒ Remaining Distance = Total Distance - Distance_{first car}

⇒ Remaining Distance = 300 km - 90 km

⇒ Remaining Distance = 210 km

3. Combined speed of both cars:

⇒ Combined Speed = Speed_{first car} + Speed_{second car}

⇒ Combined Speed = 45 km/hr + 60 km/hr

⇒ Combined Speed = 105 km/hr

4. Time taken to cover the remaining distance:

⇒ Time = Distance / Combined Speed

⇒ Time = 210 km / 105 km/hr

⇒ Time = 2 hrs

5. Time when the cars will meet:

⇒ Meeting Time = 10 am + 2 hrs

⇒ Meeting Time = 12:00 p.m.

∴ The cars will meet at 12:00 p.m.

Given:

Initial expenditure of Ritvik = ₹12,800

New expenditure of Ritvik = ₹11,712

Concept Used:

Percentage decrease in expenditure is calculated using the formula:

Formula Used:

Percentage Decrease = ((Initial Expenditure - New Expenditure) / Initial Expenditure) × 100

Calculation:

We have,

⇒ Initial Expenditure = ₹12,800

⇒ New Expenditure = ₹11,712

⇒ Decrease in Expenditure = ₹12,800 - ₹11,712

⇒ Decrease in Expenditure = ₹1,088

⇒ Percentage Decrease = (₹1,088 / ₹12,800) × 100

⇒ Percentage Decrease = 0.085 × 100

⇒ Percentage Decrease = 8.5%

∴ The percentage decrease in Ritvik's expenditure is 8.5%.

Given:

A bus driver must complete a 240 km trip in 4 hours. He averages 70 km/h for the first 3 hours of his trip.

Concept:

To find the required speed for the last hour, we need to determine the remaining distance and then calculate the speed needed to cover that distance in the remaining time.

Calculation:

Total distance to be covered = 240 km

Total time available = 4 hours

Distance covered in the first 3 hours:

⇒ Distance = Speed × Time

⇒ Distance = 70 km/h × 3 hours

⇒ Distance = 210 km

Remaining distance to be covered in the final hour:

⇒ Remaining distance = Total distance - Distance covered in the first 3 hours

⇒ Remaining distance = 240 km - 210 km

⇒ Remaining distance = 30 km

Speed required to cover the remaining distance in the final hour:

⇒ Speed = Distance / Time

⇒ Speed = 30 km / 1 hour

⇒ Speed = 30 km/h

∴ The bus driver must travel at 30 km/h in the last hour.

Calculation:

The people using all types of transportation in Pune

⇒ 4 + 3 + 2 

⇒ 9

The total number of people using all types of transportation in all cities

⇒ (Pune + Nasik + Nagpur + Mumbai)

⇒ (9 + 9 + 8.5 + 12.5)

⇒ 39

The percentage of people using all types of transportation in Pune to the total number of people using all types of transportation in all cities

⇒ (9/39)× 100

⇒ 23.08%

∴ The percentage of people using all types of transportation in Pune to the total number of people using all types of transportation in all cities is 23.08%.

Given:

Amount = 2400, Time = 4 years, and Rate = 5%

Formula Used:

SI = PRT/100 

Amount = P + SI

Calculation:

According to the question,

2400 = P(1 + RT/100)

2400 = P (1 + 20/100)

P = 2400/(6/5)

P = 2000

∴ The correct answer is 2000.

Calculation:

According to the graph Yasin minimum number of votes obtained

⇒ (60/360)× 720

⇒ 120

∴ The minimum number of votes obtained by any candidate is 120.

Given:

Joey completed the school project in 15 days.

Tim is 25% more efficient than Joey.

Concept:

Efficiency and time are inversely proportional.

If a person is more efficient, they will take less time to complete the same work.

Formula Used:

Time taken by Tim = (Time taken by Joey) / (1 + Efficiency increase)

Calculation:

We have,

⇒ Time taken by Joey = 15 days

⇒ Efficiency increase = 25% = 0.25

⇒ Time taken by Tim = 15 / (1 + 0.25)

⇒ Time taken by Tim = 15 / 1.25

⇒ Time taken by Tim = 12 days

∴ Tim will take 12 days to complete the same work.

Given:

Center of the circle = (2, 3)

Equation of the line = 4x + 3y - 7 = 0

Formula used:

Distance from a point (x₁, y₁) to a line ax + by + c = 0 is:

Distance = |a x₁ + b y₁ + c| / √(a² + b²)

Calculations:

Substitute (x₁, y₁) = (2, 3) and the line equation 4x + 3y - 7 = 0 into the formula:

Distance = |(4 × 2) + (3 × 3) - 7| / √(4² + 3²)

⇒ Distance = |8 + 9 - 7| / √(16 + 9)

⇒ Distance = |10| / √25

⇒ Distance = 10 / 5

⇒ Distance = 2

∴ The radius of the circle is 2 units.

Given:

Ratio 1: 3 : 4

Ratio 2: 5 : 8

Ratio 3: 1 : 2

Ratio 4: 6 : 9

Formula Used:

To compare ratios, convert them to fractions and find their decimal values.

Calculation:

Convert each ratio to a fraction:

3 : 4 ⇒ 3/4

5 : 8 ⇒ 5/8

1 : 2 ⇒ 1/2

6 : 9 ⇒ 6/9

Convert fractions to decimal values:

3/4 = 0.75

5/8 = 0.625

1/2 = 0.5

6/9 = 0.6667

Compare the decimal values:

0.75 > 0.625 > 0.6667 > 0.5

The greatest ratio is 3 : 4.

Given:

In ΔPQR, S and T are points on PQ and PR, respectively, such that ST ∥ QR and ST divides the ΔPQR into two parts of equal areas.

Formula Used:

Area of similar triangles ratio = (corresponding sides ratio)²

Calculation:

Since ST ∥ QR and ST divides ΔPQR into two parts of equal areas, the area of ΔPST is half of the area of ΔPQR.

Let the ratio of the areas be 1:2. Therefore, the ratio of the sides will be √1:√2.

Thus, PS : PQ = 1 : √2

Let PQ = PS + QS.

Since PS : PQ = 1 : √2, we have:

PS = x

PQ = x + QS

PS / PQ = 1 / √2

x / (x + QS) = 1 / √2

⇒ √2 × x = x + QS

⇒ QS = (√2 - 1) × x

Therefore, the ratio PS : QS is 1 : (√2 - 1).

The correct answer is option 4.

Given:

The heights of two cones are in the ratio 5:3.

The radii of two cones are in the ratio 6:5.

Formula Used:

Volume of a cone = $\frac{1}{3} \pi r^2 h$

Calculation:

Let the height of the first cone be 5h and the height of the second cone be 3h.

Let the radius of the first cone be 6r and the radius of the second cone be 5r.

Volume of the first cone = $\frac{1}{3} \pi (6r)^2 (5h)$

Volume of the first cone = $\frac{1}{3} \pi (36r^2) (5h)$

Volume of the first cone = $\frac{1}{3} \pi (180r^2h)$

Volume of the first cone = $60 \pi r^2h$

Volume of the second cone = $\frac{1}{3} \pi (5r)^2 (3h)$

Volume of the second cone = $\frac{1}{3} \pi (25r^2) (3h)$

Volume of the second cone = $\frac{1}{3} \pi (75r^2h)$

Volume of the second cone = $25 \pi r^2h$

Ratio of volumes = (Volume of the first cone) / (Volume of the second cone)

Ratio of volumes = $\frac{60 \pi r^2h}{25 \pi r^2h}$

Ratio of volumes = $\frac{60}{25}$

Ratio of volumes = $\frac{12}{5}$

The ratio of their volumes is 12:5.

Given:

Internal length of the cardboard box = 6 cm

Internal breadth of the cardboard box = 10 cm

Internal height of the cardboard box = 12 cm

Volume of each cube = 2160 cm³

Formula Used:

Volume of the cardboard box = Length × Breadth × Height

Number of boxes needed = Volume of each cube / Volume of one cardboard box

Calculation:

Volume of the cardboard box = 6 × 10 × 12

Volume of the cardboard box = 720 cm³

Number of boxes needed = 2160 / 720

⇒ Number of boxes needed = 3

The number of boxes needed is 3.

The correct answer is Kuchipudi

Key Points

• Kuchipudi is a classical Indian dance form that originated in Andhra Pradesh.
• This dance style is known for its graceful movements and strong narrative/dramatic character.
• It is named after the village of Kuchipudi in the Indian state of Andhra Pradesh where it developed.
• Unlike other classical dances, Kuchipudi requires both dancing and singing by the performer.
• The dance form combines fast rhythms with fluid movements, creating a unique blend of control and abandon, strength and delicacy.

Additional Information

• Kathakali is from Kerala and is known for its elaborate costumes and makeup.
• Odissi hails from Odisha and is characterized by its fluid movements and sculpturesque poses.
• Mohiniattam is another classical dance from Kerala, known for its graceful and feminine movements.
• Each of these dance forms has its own unique history, style, and cultural significance, contributing to the rich tapestry of Indian classical dance.

The correct answer is A match consists of the best of three games of 21 points

Key Points

• A match in badminton consists of the best of three games of 21 points.
• The first player or pair to reach 21 points wins the game, provided there is a minimum lead of 2 points.
• If the score reaches 20-20, the game continues until one player or pair gains a 2-point lead (e.g., 22-20, 23-21).
• If the score reaches 29-29, the first player or pair to reach 30 points wins the game.
• The winner of a match is the first to win two games.

Additional Information

• Badminton is governed by the Badminton World Federation (BWF).
• The sport can be played in singles (one player per side) or doubles (two players per side).
• Badminton became an Olympic sport in 1992 at the Barcelona Games.
• The court dimensions for singles and doubles are different, with the doubles court being wider.
• Players must serve diagonally across the court to their opponent.
• The serve must be underhand and the shuttlecock must be hit below the server's waist.

The correct answer is Geeta Phogat

Key Points

• Geeta Phogat is the first female Indian wrestler to win Gold at the Commonwealth Games.
• She achieved this historic win in the 2010 Commonwealth Games held in Delhi.
• Geeta Phogat's victory was a significant milestone for Indian wrestling, especially for women in the sport.
• Her achievement has inspired many young female wrestlers in India to pursue the sport professionally.

Additional Information

• Geeta Phogat hails from a family of wrestlers, with her father Mahavir Singh Phogat being a former wrestler and her coach.
• Her life and achievements were notably portrayed in the Bollywood film "Dangal", where her character was played by actress Fatima Sana Shaikh.
• Geeta's sister, Babita Phogat, is also a renowned wrestler and has won multiple medals at international events.
• The Phogat sisters have contributed significantly to raising the profile of women's wrestling in India.

The correct answer is Rajasthan

Key Points

• Rajasthan is the first state in India to introduce the 'Right to Health Care Act, 2022'.
• The act aims to provide equitable access to quality healthcare services to all residents of the state.
• It includes provisions for free diagnostics, medicines, and emergency treatment in both government and private hospitals.
• The act is a significant step towards ensuring the right to health as a fundamental right for the citizens of Rajasthan.

Additional Information

• The 'Right to Health Care Act, 2022' was passed by the Rajasthan Legislative Assembly.
• It is part of the state's efforts to improve public health infrastructure and services.
• Under the act, a grievance redressal mechanism has been established to address complaints related to healthcare services.
• The act is expected to benefit millions of residents by making healthcare more accessible and affordable.

The correct answer is ₹100 crores

Key Points

• ₹100 crores was the initial corpus amount instituted by NABARD for the Micro Finance Development Fund in 2000-01.
• The Micro Finance Development Fund was established to support and promote the microfinance sector in India.
• The fund aims to provide financial services to the underprivileged sections of society, particularly in rural areas.
• NABARD, or the National Bank for Agriculture and Rural Development, is the apex development bank in India with a focus on the rural sector.

Additional Information

• NABARD was established on 12 July 1982 to implement the National Bank for Agriculture and Rural Development Act 1981.
• It plays a crucial role in the development of the agriculture sector, cottage and village industries, and other rural crafts.
• NABARD also provides refinance support for building rural infrastructure and aims to bring about rural prosperity.
• The institution has been instrumental in promoting sustainable and equitable agriculture and rural development through participative financial and non-financial interventions, innovations, technology, and institutional development.

The correct answer is Parsi

Key Points

• Jamshedi Navroz is celebrated by the Parsi community.
• It marks the Persian New Year and is celebrated with great enthusiasm among Parsis.
• The festival falls on the spring equinox, around March 21st, and symbolizes rebirth, renewal, and rejuvenation.
• Parsis observe this day by cleaning their homes, wearing new clothes, and preparing special meals.
• The celebrations often include visiting the fire temple to offer prayers and seek blessings.

Additional Information

• The Parsi community in India is primarily concentrated in Mumbai and Gujarat.
• Jamshedi Navroz is named after the legendary King Jamshed of Persia, who is credited with starting the Parsi calendar.
• The festival is also known as Nowruz in other parts of the world, including Iran and Central Asia.
• It is a day for Parsis to reflect on the past year and make new resolutions for the coming year.
• Traditional Parsi dishes such as patra ni machhi (steamed fish), ravo (sweet semolina pudding), and falooda (a sweet drink) are commonly prepared for the occasion.

The correct answer is Ten

Key Points

• Ten Fundamental Duties were added to the Constitution of India in Part-IV-A under Article 51-A in the year 1976 through the 42nd Constitutional Amendment.
• These duties are intended to serve as a constant reminder to every citizen that while enjoying their rights, they also have obligations towards their country, society, and fellow citizens.
• The Fundamental Duties include respecting the national symbols, cherishing the noble ideals of the freedom struggle, and upholding and protecting the sovereignty, unity, and integrity of India.
• Other duties encompass promoting harmony and the spirit of common brotherhood, protecting the environment, and striving towards excellence in all spheres of individual and collective activities.

Additional Information

• The 42nd Amendment Act, also known as the "Mini-Constitution," brought several other significant changes to the Indian Constitution.
• It attempted to reduce the power of the judiciary and increase the power of the central government.
• The Fundamental Duties were borrowed from the Constitution of the former Soviet Union and were intended to inculcate a sense of discipline and commitment among citizens.
• Initially, there were ten Fundamental Duties listed in Article 51-A, but an eleventh duty was added by the 86th Constitutional Amendment in 2002.
• The eleventh duty is to provide opportunities for education to children between the ages of six and fourteen years.

The correct answer is - Wanawun

Key Points

• Wanawun
• Wanawun is a traditional folk music genre from Jammu and Kashmir.
• It is primarily sung during wedding ceremonies.
• The songs in Wanawun are often celebratory and filled with blessings for the newlyweds and their families.
• This type of music creates a joyful atmosphere, enhancing the overall wedding experience.

Additional Information

• Panihari
• Panihari is a type of folk music from Rajasthan.
• It is traditionally sung by women while fetching water from wells or performing other daily chores.
• The songs often reflect the daily struggles, joys, and social issues faced by women in rural Rajasthan.
• Alha
• Alha is a form of ballad singing from the Bundelkhand region in Uttar Pradesh and Madhya Pradesh.
• It involves narrating tales of bravery and heroism, often recounting the exploits of the legendary warriors Alha and Udal.
• Alha is not typically associated with wedding ceremonies but rather with festivals and gatherings.
• Baul
• Baul is a form of mystic folk music from Bengal (West Bengal in India and Bangladesh).
• Baul songs are characterized by their spiritual and philosophical themes, often focusing on love and devotion to God.
• This genre is more about individual spirituality and is not typically linked to wedding celebrations.

The correct answer is Atal Beemit Vyakti Kalyan Yojana

Key Points

• Atal Beemit Vyakti Kalyan Yojana was extended by the Government of India for a period of two years from July 2022 to June 2024.
• This scheme is aimed at providing financial assistance to unemployed individuals who have lost their jobs due to various reasons.
• The scheme is implemented by the Employees' State Insurance Corporation (ESIC) and provides relief to workers covered under the ESI scheme.
• Under this scheme, eligible unemployed individuals receive a cash benefit for up to 90 days during their unemployment period.

Additional Information

• The Atal Beemit Vyakti Kalyan Yojana was initially introduced in 2018 as a pilot scheme for two years.
• The scheme was extended for the first time from July 2020 to June 2022 before the latest extension.
• To avail the benefits, the unemployed individual must have been in insurable employment for a minimum of two years.
• The individual must have contributed to the ESI scheme for at least 78 days in each of the four contribution periods immediately preceding the unemployment.
• This scheme is part of the government’s efforts to provide social security to workers in the organized sector.
• The financial assistance provided under the scheme is equivalent to 50% of the average daily earnings of the individual.

The correct answer is 1913

Key Points

• The Ghadar Party was founded in the year 1913.
• It was established by Sohan Singh Bhakna, Kanshi Ram, Harnam Singh Tundilat, Lala Har Dayal, and other prominent leaders.
• The party aimed at securing India's independence from British rule through revolutionary means.
• The Ghadar Party was headquartered in San Francisco, USA, and played a crucial role in mobilizing the Indian diaspora for the cause of India's freedom.

Additional Information

• The name "Ghadar" means "revolt" or "rebellion" in Urdu and Punjabi, reflecting the party's revolutionary objectives.
• The Ghadar Party published a newspaper called "Ghadar" which spread revolutionary messages and ideas among Indians worldwide.
• The party's activities included organizing uprisings, disseminating anti-British propaganda, and establishing contacts with other revolutionary groups.
• The Ghadar movement significantly influenced the Indian independence struggle, inspiring future generations of freedom fighters.

The correct answer is Bhangar

Key Points

• Bhangar is the largest part of the northern plains and is formed of older alluvium.
• The northern plains of India are divided into four regions: Bhabar, Terai, Bhangar, and Khadar.
• Bhangar represents the upland alluvial tract and is composed of older alluvium, known as Bangar.
• It lies above the floodplains of rivers and is characterized by a higher concentration of calcium carbonate nodules, known as 'Kankar'.
• This region is less fertile compared to the newer alluvium found in the Khadar region, but it is still significant for agriculture.

Additional Information

• Khadar refers to the newer, younger alluvium found in the floodplains of rivers, which is very fertile and replenished annually by river floods.
• Bhabar is the narrow belt lying along the foothills of the Shiwaliks, characterized by coarse alluvium and pebbles.
• Terai is the marshy tract lying next to the Bhabar region, known for its high water table and dense forests.
• The northern plains are crucial for India's agriculture, providing fertile land for the cultivation of various crops.

The correct answer is 1-b, 2-a, 3-d, 4-c

Key Points

• The correct match for primitive forms of cultivation in different states is:
• Madhya Pradesh - Bewar
• Andhra Pradesh - Penda
• Odisha - Bringa
• Jharkhand - Kuruwa
• These traditional forms of cultivation are part of the indigenous agricultural practices specific to these states.

Additional Information

• Primitive forms of cultivation often involve techniques like slash-and-burn, shifting cultivation, and other methods that are adapted to the local environmental conditions.
• These methods are typically employed by tribal and rural communities and have been passed down through generations.
• Understanding these practices is essential for recognizing the cultural and agricultural heritage of the regions.