SSC CHSL Tier-1 2024: Official Paper (Held On: 03 Jul, 2024 Shift 3) (Previous Year Paper)

The correct answer is Option 4)

 

Key Points

• The primary issue in the sentence is the incorrect use of the adjective "heavy" instead of the adverb "heavily".
• Adjectives describe nouns, while adverbs describe verbs, adjectives, or other adverbs.
• The correct phrase should be "raining heavily," ensuring grammatical correctness and clarity.
• Thus, the error is located in Option 4 of the sentence.

Correct Sentence: "Don’t go outside because it is raining heavily."

 

Additional Information

• Option 1: "Don’t go" – This part of the sentence is grammatically correct and does not require any changes.
• Option 2: "because it is" – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "outside" – 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 4.

The correct answer is Option 4)

 

Key Points

• The primary issue in the sentence is the use of the article "a" before the term "leg."
• When referring to a specific part of the body, the definite article "the" is typically used.
• The correct phrase should be "wounded in the leg," ensuring grammatical correctness and clarity.
• Thus, the error is located in part D of the sentence..

Correct Sentence: "The class teacher was wounded in the leg."

 

Additional Information

• A: "The class" – This part of the sentence is grammatically correct and does not require any changes.
• B: "teacher was" – This part of the sentence is grammatically correct and does not require any changes.
• C: "wounded in" – 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 part D.

The correct answer is Option 1)

 

Key Points

• The primary issue in the sentence is the placement of the word "ever".
• In English, the correct placement would be "I have ever met" instead of "I have met ever".
• The correct phrase should be "I have ever met", ensuring grammatical correctness and clarity.
• Therefore, the correct answer is Option 1.

Correct Sentence: "Today she said to her friend, "You’re the sweetest person I have ever met."

 

Additional Information

• Option 2: "the sweetest person," – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "Today she said to," – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "her friend, “You’re," – 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 primary issue in the sentence is the use of the preposition "upon" in place of "on."
• The preposition "on" is more commonly used and appropriate when referring to something being displayed on a surface like a bulletin board.
• The correct phrase should be "on the bulletin board," ensuring grammatical correctness and clarity.
• Thus, the error is located in part 3 of the sentence.

Correct Sentence: "Please remember to take your notice to the reception area if you want it to be displayed on the bulletin board."

 

Additional Information

• 1: "Please remember to take" – This part of the sentence is grammatically correct and does not require any changes.
• 2: "your notice to the reception area" – This part of the sentence is grammatically correct and does not require any changes.
• 4: "if you want it to be displayed" – 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 part 3.

The correct answer is Option 1)

 

Key Points

• The context of the sentence refers to a "living" reptile, emphasizing that it is still existent today, despite its ancient lineage.
• "Living" is the appropriate adjective that makes sense in describing the tuatara in this context.

Therefore, the correct answer is Option 1.

 

Additional Information

• Option 2: Life – Incorrect, as "life" is a noun and does not fit the structure of the sentence.
• Option 3: Entity – Incorrect, as "entity" does not properly convey the context provided by the passage.
• Option 4: Being – Incorrect, as "being" would imply a type of existence rather than the state of still being alive.

The correct answer is Option 1)

 

Key Points

• The context of the sentence is describing the physical growth of the tuatara.
• "Develops" is the appropriate verb, indicating the natural growth process of reaching a certain length.

Therefore, the correct answer is Option 1.

 

Additional Information

• Option 2: Nourishes – Incorrect, as "nourishes" implies providing sustenance or nutrition, which does not fit the context of physical growth in length.
• Option 3: Links – Incorrect, as "links" is unrelated to growth or development.
• Option 4: Creates – Incorrect, as "creates" implies making something new, which does not fit the context of describing the tuatara's growth.

The correct answer is Option 3)

 

Key Points

• The context of the sentence is describing the unique feature of the tuatara, particularly its third eye.
• "Intriguing" is the appropriate adjective that captures the curiosity and interest in such a rare feature.

Therefore, the correct answer is Option 3.

 

Additional Information

• Option 1: Absorbing – Incorrect, as "absorbing" implies something that fully engages one's attention, which doesn’t fit as well as "intriguing" in this context.
• Option 2: Escalating – Incorrect, as "escalating" refers to something increasing rapidly, which is not relevant to describing a feature.
• Option 4: Diverting – Incorrect, as "diverting" implies shifting attention away from something, which does not accurately describe the unique characteristic of the tuatara.

The correct answer is Option 1)

 

Key Points

• The context of the sentence is describing how the tuatara's teeth differ from those of other reptiles.
• "Distinct" is the appropriate adjective that conveys how the teeth are notably different.

Therefore, the correct answer is Option 1.

 

Additional Information

• Option 2: Sharp – Incorrect, as "sharp" describes the quality of being pointed and does not adequately capture the idea of being different in kind or form.
• Option 3: Discrete – Incorrect, as "discrete" means individually separate and distinct, which is a very specific usage and not as fitting in this context.
• Option 4: Separate – Incorrect, as "separate" does not precisely describe the quality of being noticeably different in nature or kind.

The correct answer is Option 3)

 

Key Points

• The context of the sentence is describing the development of the tuatara's eggs during summer.
• "Fertilized" is the most appropriate term that fits the biological process relevant to eggs and reproduction.

Therefore, the correct answer is 'Option 3.'

 

Additional Information

• Option 1: Germinated – Incorrect, as "germinated" is a term used for seeds beginning to grow and not applicable to reptile eggs.
• Option 2: Pollinated – Incorrect, as "pollinated" is a term relevant to the fertilization of plants and flowers.
• Option 4: Fructified – Incorrect, as "fructified" is a term used to describe the process of producing fruit, which is not applicable in this context.

The correct answer is Option 1)

Key Points

• The idiom "around the clock" means something that continues without stopping; it goes on day and night. (दिन-रात लगातार कुछ होना)
• Example: The hospital provides around the clock care for its patients.
• "Something that goes on day and night" refers to any activity or event that continues without interruption throughout the day and night. (दिन-रात लगातार कुछ होना)
• Example: The team worked around the clock to meet the project deadline.
• Hence, we can infer that the correct meaning of "around the clock" is "something that goes on day and night".

Therefore, the correct answer is: Something that goes on day and night.

Additional Information

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

• Option 2: Something that is done within one hour (एक घंटे के भीतर किया जाने वाला कुछ)
• Example: The task was completed within one hour, showing their efficiency.
• Option 3: Something that is time bound (समय सीमा में बंधा हुआ कुछ)
• Example: The assignment is time bound, and must be submitted by Friday.
• Option 4: Something that is done at night (रात में किया जाने वाला कुछ)
• Example: The security guard's duty is something that is done at night.

The correct answer is Option 2)

Key Points

• The word "room" means space that can be occupied or where something can be done. (जगह)
• Example: There is no room for error in this critical project.
• "no room" refers to the absence of space or capacity. (कोई जगह नहीं)
• Example: There is no room on the shelf for more books.

Hence, the phrase 'no room' is the most appropriate substitution for 'no place' in the given sentence.

Additional Information

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

• no life (कोई जीवन नहीं): Absence of living beings or activity.
• Example: The desert showed no signs of life.
• more space (अधिक स्थान): Additional area or capacity.
• Example: We need more space to accommodate all the guests.
• more place (अधिक जगह): Additional location or area.
• Example: We need more place to store our belongings.

The correct answer is Option 1)

Key Points

• The word "booming" means experiencing a period of great prosperity or rapid economic growth. (तेजी से बढ़ता हुआ)
• Example: The country's booming economy has led to a higher standard of living for its citizens.
• "Boosting" refers to increasing or improving something. (बढ़ावा देना)
• Example: Various initiatives are aimed at boosting the local economy.

Hence, we can infer that the most appropriate word to describe the economy of many developing nations is 'booming'.

Additional Information

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

• Boosting (बढ़ावा देना): Refers to increasing or improving something.
• Example: Various initiatives are aimed at boosting the local economy.
• Resounding (गूंजता हुआ): Producing or characterized by a deep, resonant sound.
• Example: Her resounding voice filled the auditorium.
• Ringing (घंटी बजाना): Producing a clear, resonant sound.
• Example: The ringing of the church bells was heard across the town.

The correct answer is Option 4)

Key Points

• The word "cold" means lacking affection or warmth of feeling; unemotional. (ठंडा, भावहीन)
• Example: His cold demeanor made it difficult for others to approach him.
• Clement (कृपालु): Mild or merciful in disposition or character; lenient.
• Example: The judge was clement in his sentencing.​

Hence, we can infer that the opposite of 'cold' is 'clement’.

Additional Information

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

• Relaxed (आरामदायक): Free from tension and anxiety; at ease.
• Example: He felt relaxed after the long vacation.
• Tolerant (सहनशील): Showing willingness to allow the existence of opinions or behavior that one does not necessarily agree with.
• Example: She is very tolerant of different cultures and beliefs.
• "Charitable" refers to showing kindness and generosity towards others, especially in giving help to those in need. (दयालु, परोपकारी)
• Example: She is known for her charitable nature, always willing to help those in need.

The correct answer is Option 2)

Key Points

• The word "between" is typically used when referring to two entities or items. (के बीच )
• Example: The negotiations between the two companies were successful.
• "Amongst" is used when referring to more than two entities or items. (के बीच में)
• Example: He was the fastest amongst all the contestants.

Hence, in the given context, where there are multiple contestants, 'amongst' is the correct word to use.

Additional Information

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

• Since (से): Used to indicate a point in time in the past until now.
• Example: She has been working here since 2010.
• From (से): Indicates the point in time at which a particular process, event, or activity starts.
• Example: The store is open from 9 AM to 9 PM.

The correct answer is Option 2)

Key Points

• The word "vivid" means something that is clear, detailed, and lively; it usually refers to strong, distinct, and striking impressions. (जीवंत)
• Example: Her description of the event was so vivid that I felt like I was there.
• "Vague" refers to something that is not clear, definite, or detailed; it is often ambiguous or indistinct. (अस्पष्ट)
• Example: His memories of the place were vague and fragmented.

Hence, we can infer that the opposite of 'vivid' is 'vague'.

Additional Information

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

• Eloquent (प्रभावशाली): Fluent or persuasive in speaking or writing.
• Example: The speaker was so eloquent that the audience was captivated.
• Lucid (स्पष्ट ): Clear and easy to understand.
• Example: The professor gave a lucid explanation of the complex theory.
• Pictorial (चित्रात्मक): Relating to or resembling pictures.
• Example: The book contains a pictorial history of the town.

The correct answer is Option 3)

Key Points

• The word "Alive" means living, not dead, or having life. (जीवित)
• Example: The plant is still alive despite the harsh conditions.
• "Dead" refers to no longer alive; having ceased living. (मृत)
• Example: The fish was found dead in the aquarium.
• Hence, we can infer that the opposite of 'Alive' is 'Dead'.

Additional Information

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

• Spry (फुर्तीला): Active and lively, especially in an older person.
• Example: Despite his age, he remains spry and full of energy.
• Wise (बुद्धिमान): Having or showing experience, knowledge, and good judgment.
• Example: She is wise beyond her years.
• Animated (उत्साहित): Full of life or excitement; lively.
• Example: The animated discussion kept everyone engaged.

The correct answer is Option 4)

Key Points

• The word "consent" means permission for something to happen or agreement to do something. (अनुमति)
• Example: She gave her consent to be part of the research study.
• "Refusal" refers to the act of declining or rejecting something. (अस्वीकृति)
• Example: His refusal to cooperate made the project more difficult.

Hence, we can infer that the opposite of 'consent' is 'refusal'.

Additional Information

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

• Permission (अनुमति): The act of allowing someone to do something.
• Example: You need permission from the principal to leave early.
• Knowledge (ज्ञान): Information and understanding about a subject.
• Example: Her knowledge of history is impressive.
• Approval (मंजूरी): The action of officially agreeing to something or accepting something as satisfactory.
• Example: The project received approval from the board.

The correct answer is Option 1)

Key Points

• The word "Little" means a small amount or hardly any. (थोड़ा)
• Example: Little did I know about the surprise party they had planned for me.
• "The little" refers to the small amount that is available or known, and it emphasizes whatever small quantity there is. (थोड़ा सा)
• Example: The little money he had was not enough to buy the book.

Hence, we can infer that the most appropriate substitution for the underlined segment is 'The little' .

Additional Information

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

• A little (थोड़ा सा): A small amount but more than none.
• Example: A little knowledge can be a dangerous thing.
• So little (बहुत कम): Extremely small amount.
• Example: He had so little time to complete the project.
• Very little (बहुत कम): Almost no amount.
• Example: She had very little interest in the subject.

The correct answer is Option 2)

Key Points

• The word "Ablaze" means something that is on fire or very bright and full of light. (जलता हुआ, प्रज्वलित)
• Example: The forest was ablaze with hundreds of small fires.
• "Burning" refers to something that is on fire or very hot. (जलता हुआ)
• Example: The campfire has been burning for hours.

Hence, we can infer that the synonym of 'Ablaze' is 'Burning'.

Additional Information

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

• Brazen (ढीठ): Bold and without shame.
• Example: His brazen disregard for the rules shocked everyone.
• Extinguished (बुझा हुआ): Cause (a fire or light) to cease to burn or shine.
• Example: The fire was quickly extinguished by the firefighters.
• Sharp (तेज): Having an edge or point that is able to cut or pierce something.
• Example: The knife was sharp enough to slice through the bread easily.

The correct answer is Option 3)

Key Points

• The word "sacred" means something that is considered holy and deserving of special respect. (पवित्र)
• Example: The temple is a sacred place for the community.
• "Profane" refers to something that is not sacred or religious; it is often associated with showing disrespect towards sacred things. (अपवित्र)
• Example: The graffiti on the church walls was considered profane by the locals.

Hence, we can infer that the opposite of 'sacred' is 'profane'.

Additional Information

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

• Grave (गंभीर): Something serious or solemn.
• Example: The situation was grave, and immediate action was required.
• Narrow (संकीर्ण): Limited in extent, amount, or scope.
• Example: The narrow alley was difficult to navigate.
• Holy (पवित्र): Dedicated or consecrated to God or a religious purpose; sacred.
• Example: The holy scriptures are revered by followers.

The correct answer is Option 1)

Key Points

• The idiom "Best thing since sliced bread" means something that is extremely good or interesting. (बेहद अच्छा या रोचक)
• Example: The new smartphone model is the best thing since sliced bread; it has so many innovative features.
• "Extremely good, interesting" refers to something that is very impressive or captivating. (बेहद अच्छा, रोचक)
• Example: Her performance in the play was extremely good and interesting, leaving the audience in awe.

Therefore, the correct answer is: Extremely good, interesting.

Additional Information

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

• Breaking news (ताजा खबर): Information about an event that has just happened or is currently happening.
• Example: The journalist rushed to cover the breaking news of the earthquake.
• Something to be cautious about (सावधान रहने योग्य कुछ): Something that requires careful attention or vigilance.
• Example: The slippery road conditions are something to be cautious about while driving.
• Rated well amongst cooks (रसोइयों के बीच अच्छी रेटिंग): Something that is highly regarded or rated by chefs.
• Example: This brand of olive oil is rated well amongst cooks for its quality and flavor.

The correct answer is Option 3)

Key Points

• The word "promote" means to support or actively encourage something; to advance or raise to a higher position or rank. (बढ़ावा देना)
• Example: The government aims to promote tourism in the rural areas.
• "Traditional" refers to something that is based on customs, beliefs, or methods that have existed for a long time without changing. (पारंपरिक)
• Example: The festival celebrates traditional music and dance forms.

Hence, we can infer that the correct phrase is 'promotes sharing of traditional' to make the sentence grammatically correct and meaningful.

Additional Information

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

• Option 1: promotes sharing of tradition (परंपरा का साझा करना बढ़ावा देता है): This phrase is not grammatically correct as "tradition" is a noun and does not fit well in the context.
• Example: This sentence is incorrect: The event promotes sharing of tradition.
• Option 2: promotes sharing of traditionally (पारंपरिक रूप से साझा करने को बढ़ावा देता है): The adverb "traditionally" does not fit correctly in this context.
• Example: This sentence is incorrect: The event promotes sharing of traditionally.
• Option 4: No improvement required (कोई सुधार आवश्यक नहीं है): This option is incorrect because the original sentence is grammatically incorrect.
• Example: The original sentence is incorrect: The annual seed festival hosted in Auroville promote sharing of traditional knowledge and sustainable farming practices.

The correct answer is Option 3)

Key Points

• The word "austere" means severe or strict in manner, attitude, or appearance. (कठोर)
• Example: The teacher's austere demeanor made the students take the class very seriously.
• "Stern" refers to someone who is serious and unrelenting, especially in the assertion of authority and discipline. (कठोर)
• Example: The stern look on his face discouraged anyone from speaking out of turn.

Hence, we can infer that the synonym of 'austere' is 'stern'.

Additional Information

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

• Aged (वृद्ध): Being old or advanced in years.
• Example: The aged man walked slowly with the help of a cane.
• Composed (शांत): Having one's feelings and expression under control; calm.
• Example: She remained composed even during the crisis.
• Morose (उदास): Sullen and ill-tempered.
• Example: He became morose after hearing the bad news.

The correct answer is Option 1)

Key Points

• The word "Magnanimos" is incorrectly spelt. It should be "Magnanimous" which means generous or forgiving, especially towards a rival or less powerful person. (उदार)
• Example: He showed a magnanimous gesture by forgiving his opponent.
• "Magnanimous" refers to being very generous or forgiving, especially toward a rival or someone less powerful. (उदार)
• Example: The magnanimous king pardoned the traitors.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Fascination (आकर्षण): The power to attract or hold the interest; an intense interest.
• Example: His fascination with technology led him to become an engineer.
• Accompanied (साथ में): To go somewhere with someone as a companion or escort.
• Example: She accompanied her friend to the concert.
• Psychology (मनोविज्ञान): The scientific study of the human mind and its functions, especially those affecting behavior.
• Example: She is studying psychology to understand human behavior better.

The correct answer is 'Jugement'.

 

Key Points

• The word "Jugement" is incorrectly spelled.
• The correct spelling is Judgment (or Judgement in British English). The given word is missing the letter 'd'.
• All other words are spelled correctly:
• Relevant: Closely connected or appropriate to what is being done or considered.
• Chief: Leader or head of a group or organization.
• Colleague: A person with whom one works in a profession or business.

Therefore, the correct answer is 'Option 3'.

 

Additional Information

• Judgment (निर्णय): An opinion or conclusion formed after careful consideration or a formal decision given by a court.

The logic followed here is:​

Option 1) QWD

Option 2) EKR

Option 3) RXE

Option 4) TZD

Thus, out of all the options 'TZD' is the odd one out.

Hence, "Option 4" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 1".

The logic followed here is:

 

Hence, "778" is the correct answer.

The logic followed here is:​

'GCJL' is coded as '14-6-20-24'

​ 

​And,

'WTRO' is coded as '46-40-36-30'

​ 

​Similarly,

'BZKQ' is coded as

Hence, "Option 4" is the correct answer.

Given Equation: 93 A 3 C 15 B 5 D 12 = ?

BODMAS Rule:

Decoding the given information:

 

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

⇒ 93 ÷ 3 + 15 × 5 - 12 = ?

⇒ 31 + 15 × 5 - 12 = ?

⇒ 31 + 75 - 12 = ?

⇒ 106 - 12 = 94.

Hence, the correct option is "Option 4".

According to the given figure:

The figure will appear when it is opened as follows:

Hence, "Option 3" is the correct answer.

According to the given information,

Thus, according to the given codes 'zaa' is the code for the word 'tide'.

Hence, the correct answer is "Option 4".

Given : 73 - 27 × 9 + 5 ÷ 13 = ?

According to the question, after replacing the signs :

‘+’ and ‘-’ are interchanged 

‘×’ and ‘÷’ are interchanged

So,​​

73 + 27 ÷ 9 - 5 × 13 = ?

73 + 3 - 5 × 13 = ?

73 + 3 - 65 = ?

76 - 65 = ?

11 = ?

Hence, "11" is the correct answer.

Decoding the Symbols:

Now,

Option 1) M ÷ N + O → M is the daughter of N who is the brother of O.

Here, M is the niece of O.

Option 2) M ÷ N × O → M is the daughter of N who is the father of O.

Here, M is the sister of O.

Option 3) M – N × O → M is the wife of N who is the father of O.

Here, M is the mother of O.

Option 4) M – N + O → M is the wife of N who is the brother of O.

Here, M is the sister-in-law of O.

Hence, "Option 3" is the correct answer.

Given: 29 December 1956 was Saturday.

Now,

1956 to 1966 = 10 Years (8 Ordinary Years and 2 Leap Years).

And, In 10 Years = 2 Leap years and 8 Ordinary Years.

So, 2 Leap Years have 4 odd days,

And, 8 Ordinary Years have 8 odd days.

Total odd days = 4 + 8 = 12.

12 odd days → 12/7 = 1 week and 5 odd days.

then, 29 December 1966 will be Saturday + 5 = Thursday.

Now, the number of days between 29 December 1966 to 16 January 1967

= 2(December) + 16(January) = 18 days.

= 18 days → 18/7 = 2 weeks and 4 odd days.

So, 16 January 1967 will be Thursday + 4 = Monday.

Hence, the correct answer is "Option 1".

The logic followed here is:

 

Hence, "225" 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:

Fly → Play

Cry → Eat

Pray → Run

Therefore, 'Pray' is the opposite of 'Run'.

Hence, "Pray" is the correct answer.

Given: 26 September 2005 was Monday.

Now,

2005 to 2017 = 12 Years (9 Ordinary Years and 3 Leap Years).

And, In 12 Years = 3 Leap years and 9 Ordinary Years.

So, 3 Leap Years have 6 odd days,

And, 9 Ordinary Years have 9 odd days.

Total odd days = 6 + 9 = 15.

15 odd days → 15/7 = 2 weeks and 1 odd day.

then, 26 September 2017 will be Monday + 1 = Tuesday.

Hence, the correct answer is "Option 3".

The logic followed here is:​

Hence, "Option 4" is the correct answer.

The logic followed here is:​

PCNZ is related to ALWQ

​ 

​And,

RYLD is related to EHUS

​ 

​Similarly,

HAXM is related to

Hence, "Option 1" is the correct answer.

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

Conclusions:

I. Some tables are beds → Does not follow (As some chairs are beds, all chairs are sofas and no sofa is a table. So it is possible but not definite.)

II. No table is a chair → Follow (As all chairs are sofas and no sofa is a table. As whole chairs comes in sofas which cannot be tables, therefore, table cannot be chair is true) 

III. Some sofas are beds → Follow (As some chairs are beds and all chairs are sofas. As some parts of beds is common with chairs which whole comes in sofas, therefore, some sofas are beds is true.)

∴ Here, Both conclusions II and III follow.​

Hence, the correct answer is "Both conclusions II and III follow"

The logic followed here is:

Logic: 1st number ÷ 3 = 2nd number; 2nd number ÷ 5 = 1st number;

Explanation:

For (45, 15, 3):

→ 45 ÷ 3 = 15

→ 15 ÷ 5 = 3

For, (120, 40, 8)  

→ 120 ÷ 3 = 40

→ 40 ÷ 5 = 8

For (165, 55, 11):

→ 165 ÷ 3 = 55 

→ 55 ÷ 5 = 11 

Hence, the correct answer is "Option 2".

The image embedded in the given figure is as shown below :

∴ Here, the given figure is embedded in option Figure - 3.

Hence, the correct answer is "Option 3".

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

Here, as marked there are a total of 9 rectangles.

Hence, "Option 1" is the correct answer.

Given : 800 × 16 - 8 ÷ 12 + 18 = ?

According to the question, after replacing the signs :

‘+’ and ‘-’ are interchanged 

‘×’ and ‘÷’ are interchanged

So,​​

800 ÷ 16 + 8 × 12 - 18 = ?

50 + 8 × 12 - 18 = ?

50 + 96 - 18 = ?

146 - 18 = ?

128 = ?

Hence, "128" is the correct answer.

The logic followed here is:​

Hence, "Option 2" is the correct answer.

The logic followed here is:

Logic: 1st number + 111 = 2nd number.

Now,

For, 765 : 876

⇒ 765 + 111 = 876.

For, 682 : 793

⇒ 682 + 111 = 793.

Similarly, for 587 ∶ ?

⇒ 587 + 111 = 698.

Hence, the correct answer is "Option 2".

The logic followed here is :

1. The number of arrows are increasing subsequently/

2. The new arrow is flipped vertically to its adjacent arrow respectively.

Thus, the final series is :

Hence, "Option 4" is the correct answer.

The logic follows here is:

Logic: (Number of alphabets in the word) × 7 = Code

'MANGO' is related to '35

→ 5 × 7 = 35

'CHERRIES' is related to '56'

→ 8 × 7 = 56

Similarly, for ADMINISTRATION

→ 14 × 7 = 98

So, ''CHERRIES' will be related to '98'

Hence, the correct answer is "Option 1".

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:

Pear → Lime

Mango → Plum

Kiwi → Melon

Therefore, 'Lime' is the opposite of 'Pear'.

Hence, "Lime" is the correct answer.

Given:

In 1991:

Revenue from Journals = 45 lakh

Revenue from Magazines = 45 lakh

Revenue from Books = 80 lakh

Formula used:

Percentage of revenue from journals = $\frac{\text{Revenue from Journals}}{\text{Total Revenue}} \times 100$

Calculations:

Total revenue = 45 + 45 + 80 = 170 lakh

⇒ Percentage from journals = $\frac{45}{170} \times 100$

⇒ Percentage from journals = 26.47%

∴ The percentage of total revenue from journals in 1991 is 26.5% (rounded to one decimal place).

Given:

Initial radius of the sphere = r

Increased radius of the sphere = r + 12% of r = r + 0.12r = 1.12r

Formula Used:

Volume of a sphere = $\frac{4}{3}\pi r^3$

Calculation:

Initial volume, V₁ = $\frac{4}{3}\pi r^3$

New volume, V₂ = $\frac{4}{3}\pi (1.12r)^3$

⇒ V₂ = $\frac{4}{3}\pi (1.12)^3r^3$

⇒ V₂ = $\frac{4}{3}\pi (1.404928)r^3$

Percentage increase in volume = $\left(\frac{V_2 - V_1}{V_1}\right) \times 100$

Percentage increase in volume = $\left(\frac{\frac{4}{3}\pi (1.404928)r^3 - \frac{4}{3}\pi r^3}{\frac{4}{3}\pi r^3}\right) \times 100$

Percentage increase in volume = $\left(\frac{1.404928 - 1}{1}\right) \times 100$

Percentage increase in volume = 0.404928 × 100

Percentage increase in volume ≈ 40.49%

The volume will be increased by approximately 40.49 percent

Simplify the given expression:

8 - 5 ÷ 2³ × 3 + (7 ÷ 7 × 7) ÷ 7 + (3 × 6 ÷ 1/3) × 1/3³

Solution:

1. Evaluate the exponents and fractions:

2³ = 8

1/3³ = 1/27

2. Simplify each part of the expression:

First part: 5 ÷ 8 × 3

5 ÷ 8 = 5/8

5/8 × 3 = 15/8

Second part: (7 ÷ 7 × 7) ÷ 7

7 ÷ 7 = 1

1 × 7 = 7

7 ÷ 7 = 1

Third part: (3 × 6 ÷ 1/3) × 1/27

3 × 6 = 18

18 ÷ 1/3 = 18 × 3 = 54

54 × 1/27 = 2

3. Combine all parts:

8 - 15/8 + 1 + 2

Convert 8 to a fraction: 8 = 64/8

Combine fractions: (64/8 - 15/8) + 1 + 2

49/8 + 1 + 2

Convert 1 and 2 to fractions: 1 = 8/8, 2 = 16/8

Combine: (49/8 + 8/8 + 16/8) = 73/8

Final Answer: The simplified value of the expression is 73/8.

Shortcut Trick

The Volume of a cone is given by V = (1/3) × π × r² × h.

Since the volume includes π (22/7), the answer must be a multiple of 11.

Checking options: 2772 → (2 + 7) − (7 + 2) = 0. This is divisible by 11.

Calculation: V = (1/3) × (22/7) × 10.5 × 10.5 × 24 = 22 × 0.5 × 10.5 × 24 = 11 × 252 = 2772.

∴ The correct answer is 2772 cm³.

Alternate Method

Given:

Height (h) = 24 cm

Radius (r) = 10.5 cm

Formula Used:

Volume of a Right Circular Cone = (1/3) × π × r² × h

Calculations:

⇒ Volume = (1/3) × (22/7) × (10.5)² × 24

⇒ Volume = (1/3) × (22/7) × 10.5 × 10.5 × 24

⇒ Volume = (22/7) × 10.5 × 10.5 × 8

⇒ Volume = 22 × (10.5/7) × 10.5 × 8

⇒ Volume = 22 × 1.5 × 10.5 × 8

⇒ Volume = 33 × 84

⇒ Volume = 2772 cm³

∴ The correct answer is 2772 cm³.

Additional Information

Slant Height of Cone

The distance from the apex to any point on the base circumference, l = √(r² + h²).

Curved Surface Area (CSA)

The area of the side surface of the cone is given by π × r × l.

Total Surface Area (TSA)

The sum of the curved surface area and the area of the circular base, TSA = πr(l + r).

Volume Relation

The volume of a cone is exactly 1/3 of the volume of a cylinder with the same radius and height.

Given:

A and B can complete a piece of work in 12 days.

B and C can complete the same work in 15 days.

C and A can complete the same work in 10 days.

Formula Used:

Work done by A, B, and C together = Work done by (A + B) + Work done by (B + C) + Work done by (C + A) - 2 × (Work done by A + Work done by B + Work done by C)

Calculation:

Let the work done by A in one day be a.

Let the work done by B in one day be b.

Let the work done by C in one day be c.

From the given information:

a + b = 1/12

b + c = 1/15

c + a = 1/10

Adding all three equations:

(a + b) + (b + c) + (c + a) = 1/12 + 1/15 + 1/10

⇒ 2(a + b + c) = 1/12 + 1/15 + 1/10

⇒ 2(a + b + c) = (1)/(12) + (1)/(15) + (1)/(10)

Finding the common denominator (LCM of 12, 15, and 10 is 60):

⇒ 2(a + b + c) = (5)/(60) + (4)/(60) + (6)/(60)

⇒ 2(a + b + c) = (15)/(60)

⇒ 2(a + b + c) = 1/4

⇒ a + b + c = 1/8

Now, substituting a + b + c = 1/8 in one of the earlier equations:

a + b = 1/12

⇒ (a + b + c) - c = 1/12

⇒ 1/8 - c = 1/12

⇒ c = 1/8 - 1/12

Finding the common denominator (LCM of 8 and 12 is 24):

⇒ c = (3)/(24) - (2)/(24)

⇒ c = 1/24

Similarly, find a:

c + a = 1/10

⇒ a = 1/10 - 1/24

Finding the common denominator (LCM of 10 and 24 is 120):

⇒ a = (12)/(120) - (5)/(120)

⇒ a = 7/120

Therefore, A can complete the work in:

⇒ 1/a = 120/7

⇒ 17 (1/7) days

The correct answer is option 3.

Given:

∠BXC = 125º

Formula Used:

In a circle, the angle between the tangents (∠BAC) is equal to the difference between 180º and the angle subtended at the center (∠BXC).

∠BAC = (180º - ∠BXC)

Calculation:

∠BXC = 125º

So, ∠BAC = 180º - 125º = 55º

∴ The correct measure of ∠BAC is 55º.

Given:

Perimeter of the square = 64 cm

Formula Used:

Perimeter of a square = 4 × side

Area of a square = side²

Calculation:

Perimeter = 4 × side

⇒ 64 = 4 × side

⇒ side = 64 / 4

⇒ side = 16 cm

Area = side²

⇒ Area = 16²

⇒ Area = 256 cm²

The area of the square is 256 cm².

Shortcut Trick

Let the total number of registered voters be 100 parts.

Votes cast = 90 parts (since 10% did not vote).

Winner's votes = 60% of 90 = 54 parts, and Loser's votes = 40% of 90 = 36 parts.

Winning margin = 54 parts − 36 parts = 18 parts.

Total registered voters = (1242 ÷ 18) × 100 = 69 × 100 = 6900.

∴ The correct answer is 6900 voters.

Alternate Method

Given:

⇒ Percentage of registered voters who did not vote = 10%

⇒ Votes obtained by the winner = 60% of total votes cast

⇒ Winning margin = 1242 votes

Registered Voters (100x)

Did Not Vote (10x)

Votes Cast (90x)

Winner (54x)

Loser (36x)

Margin = 54x − 36x = 18x = 1242

Calculations:

Let the total number of registered voters be 100x.

⇒ Number of voters who cast their votes = 100x − 10x = 90x

⇒ Votes secured by the winning candidate = 60% of 90x = 54x

⇒ Votes secured by the losing candidate = 40% of 90x = 36x

⇒ Winning margin = Votes of winner − Votes of loser

⇒ 54x − 36x = 1242

⇒ 18x = 1242

⇒ x = 1242 ÷ 18 = 69

⇒ Total registered voters = 100x = 100 × 69 = 6900

∴ The correct answer is 6900 voters.

Additional Information

Percentage Base Changes

When working with percentages on a changing base, always calculate the successive percentage on the new base (e.g., finding winner's votes as a percentage of the total votes cast, rather than the total registered voters).

Valid and Invalid Votes

In many election problems, a certain percentage of cast votes are declared invalid. The winning or losing percentage is then calculated based on the valid votes only: Valid Votes = Total Cast Votes − Invalid Votes.

Winning Margin Rule

The majority or winning margin in a two-candidate election is strictly the difference between the percentage of votes secured by the winner and the loser, multiplied by the total valid vote count.

Given :-

The average of 50 numbers N1, N2, ..., N50 is M.

2. Calculate the Sum of the 50 Numbers:

Since the average of the numbers is M, the sum of these 50 numbers can be expressed as:

Sum = Average × Number of Values

Sum = M × 50

3. Adjust Each Number by Subtracting 100:

We need to find the average of the new numbers N1-100, N2-100, ..., N50-100.

The sum of the new numbers is:

Sum of new numbers = (Sum of original numbers) - (100 × Number of Values)

Sum of new numbers = (M × 50) - (100 × 50)

Sum of new numbers = M × 50 - 5000

4. Calculate the Average of the New Numbers:

Average of new numbers = (Sum of new numbers) / Number of Values

Average of new numbers = (M × 50 - 5000) / 50

Average of new numbers = M - 100

Final Answer: The average of the numbers N1-100, N2-100, ..., N50-100 is M - 100.

Given:

Sides of the triangle: 6, 18, x

Formula Used:

For any triangle with sides a, b, and c: a + b > c, a + c > b, b + c > a

Calculation:

Given sides: 6, 18, x

1. 6 + 18 > x
   

⇒ 24 > x

⇒ x < 24

2. 6 + x > 18
   

⇒ x > 12

3. 18 + x > 6 (This condition is always true since x is a positive integer)

Combining the inequalities:

12 < x < 24

Possible integer values of x are: 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23

Number of possible values of x = 11

The number of possible values of x is 11.

Given:

Income of P is 40% less than Q.

Formula Used:

Combined Income = Income of P + Income of Q

Percentage Increase = $\frac{\text{Combined Income} - \text{Income of P}}{\text{Income of P}} × 100$

Calculation:

Let the income of Q be 100 units.

Income of P = 100 - 40% of 100

Income of P = 100 - 40

Income of P = 60 units

Combined Income = 60 + 100

Combined Income = 160 units

Percentage Increase = (160 - 60)/(60) × 100

Percentage Increase = (100)/(60) × 100

Percentage Increase = (100 × 100)/(60)

Percentage Increase = (10000)/(60)

Percentage Increase = 166.66%

166 ²/₃%

The combined income of P and Q is 166 ²/₃% more than the income of P.

Given:

Listed Price of the article = Rs. 100

Successive discounts = 10% and 20%

Transportation cost = 10% of the cost price

Desired profit = 15%

Formula Used:

Successive Discount Formula: $(1 - \text{discount1}) × (1 - \text{discount2}) × \text{Listed Price}$

Cost Price including transportation = Cost Price + 10% of Cost Price

Selling Price = Cost Price × (1 + Profit Percentage)

Calculation:

Applying the successive discounts:

Cost Price after 10% discount = 100 × (1 - 0.10)

⇒ 100 × 0.90 = 90

Cost Price after additional 20% discount = 90 × (1 - 0.20)

⇒ 90 × 0.80 = 72

Transportation cost = 10% of 72

⇒ 0.10 × 72 = 7.2

Total Cost Price = 72 + 7.2

⇒ 79.2

Desired Selling Price for 15% profit = 79.2 × (1 + 0.15)

⇒ 79.2 × 1.15

⇒ 91.08

The price at which the dealer should sell the article to earn a profit of 15% is Rs. 91.08.

Given:

PQ is parallel to SR in a trapezium PQRS.

PQ > SR

Diagonals PR and QS intersect at O.

PO = 3x - 15

OQ = x + 9

OR = x - 5

OS = 5

Formula Used:

In a trapezium with diagonals intersecting at O, the ratio of the segments of the diagonals is equal.

$\frac{PO}{OR} = \frac{OQ}{OS}$

Calculation:

$\frac{3x - 15}{x - 5} = \frac{x + 9}{5}$

Cross-multiplying:

5(3x - 15) = (x + 9)(x - 5)

15x - 75 = x² - 5x + 9x - 45

15x - 75 = x² + 4x - 45

Rearranging the equation:

x² + 4x - 15x - 45 + 75 = 0

x² - 11x + 30 = 0

Solving the quadratic equation:

$x = \frac{-b ± √(b^2 - 4ac)}{2a}$

Here, a = 1, b = -11, c = 30

$x = \frac{11 ± √(121 - 120)}{2}$

$x = \frac{11 ± 1}{2}$

So, x1 =$\frac{12}{2}$= 6

And x2 =$\frac{10}{2}$ = 5

Now, x1² - x2² = 6² - 5²

x1² - x2² = 36 - 25

x1² - x2² = 11

The value of (x1² - x2²) is 11.

Given:

The seven-digit number is 489y5z6, and it is divisible by 72.

For divisibility by 72, the number must be divisible by both 8 and 9.

Formula used:

Divisibility by 8: The last three digits (5z6) must be divisible by 8.

Divisibility by 9: The sum of all digits must be divisible by 9.

Calculations:

Step 1: Divisibility by 8

For divisibility by 8, the last three digits (5z6) must be divisible by 8.

⇒ If z = 3, 536 ÷ 8 = 67 (divisible)

⇒ If z = 7, 576 ÷ 8 = 72 (divisible)

Therefore, z can be 3 or 7.

Step 2: Divisibility by 9

The sum of digits (4 + 8 + 9 + y + 5 + z + 6) must be divisible by 9.

⇒ Sum = 32 + y + z

If z = 3:

32 + y + 3 = 35 + y. For divisibility by 9, 35 + y must be divisible by 9.

⇒ y = 2 (since 35 + 2 = 37, and 37 + 2 = 39, divisible by 9).

If z = 7:

32 + y + 7 = 39 + y. For divisibility by 9, 39 + y must be divisible by 9.

⇒ y = 6 (since 39 + 6 = 45, divisible by 9).

Step 3: Maximize the product of y and z

If z = 3 and y = 2, the product is 2 × 3 = 6.

If z = 7 and y = 6, the product is 7 × 6 = 42.

∴ The highest possible product of y and z is 42, which matches option 1.

Given:

Ratio of speeds of Ankur and Neha = 5 ∶ 6

Head-start for Ankur = 200 m

Total distance of race = 800 m

Formula Used:

Distance = Speed × Time

Calculation:

Let the speed of Ankur be 5 units and the speed of Neha be 6 units

Time taken by Ankur to complete 600 m race as head start given to him,

600 = 5 × Time

⇒ Time taken by Ankur = 120 units 

Distance cover by Neha in 120 units of time,

⇒ 120 × 6

⇒ 720 m

Neha loses race by,

⇒ 800 m - 720 m = 80 m

Ankur will win by 80 m.

Given:

Expenditure on royalty = 15%

Formula used:

Angle for a section of the pie chart = $\frac{\text{Percentage}}{100} \times 360$

Calculations:

⇒ Angle for royalty = $\frac{15}{100} \times 360$

⇒ Angle for royalty = 0.15 × 360 = 54°

∴ The angle of the pie-diagram showing the expenditure incurred on paying royalty is 54°.

Given:

Cost price of 1 metre of cloth = Rs. 480

Profit from selling 30 metres of cloth = Selling price of 10 metres of cloth

Formula Used:

Profit = Selling price - Cost price

Total profit from selling 30 metres = Selling price of 30 metres - Cost price of 30 metres

Selling price of 10 metres = 10 × Selling price of 1 metre

Calculation:

Let the selling price of 1 metre of cloth be Rs. x.

Profit from selling 30 metres = 30x - 30 × 480

Given that,

30x - 30 × 480 = 10x

⇒ 30x - 14400 = 10x

⇒ 30x - 10x = 14400

⇒ 20x = 14400

⇒ x = 14400 / 20

⇒ x = 720

The selling price of 1 metre of cloth is Rs. 720.

Shortcut Trick

An angle of 45° represents exactly 1/8 of the total 360° circle area.

Total Area of Circle = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 cm².

Area of Sector = Total Area ÷ 8

Area of Sector = 50.24 ÷ 8 = 6.28 cm².

∴ The correct answer is 6.28 cm².

Alternate Method

Given:

Radius (r) of the circle = 4 cm

Sector angle (θ) = 45°

π = 3.14

Formula Used:

Area of a Sector = (θ ÷ 360°) × πr²

Calculations:

⇒ Area = (45 ÷ 360) × 3.14 × (4)²

⇒ Area = (1 ÷ 8) × 3.14 × 16

⇒ Area = (16 ÷ 8) × 3.14

⇒ Area = 2 × 3.14

⇒ Area = 6.28 cm²

∴ The correct answer is 6.28 cm².

Additional Information

Length of an Arc

The distance along the curved boundary of the sector is calculated as L = (θ ÷ 360) × 2πr.

Perimeter of a Sector

The total boundary length of the sector is equal to the arc length plus two radii: P = L + 2r.

Area in terms of Arc Length

If the length of the arc (L) is known, the area of the sector can be written as Area = (1 ÷ 2) × L × r.

Area of a Segment

The area of the segment is the sector area minus the area of the triangle formed by the radii and the chord: Area = Sector Area − (1 ÷ 2)r² sin(θ).

Simplify the expression:

(3 cos³θ - 2 cos θ) / (sin θ - 3 sin³θ)

Solution:

Let us use trigonometric identities to simplify the given expression.

We know the following trigonometric identity:

cos³θ = cos θ (1 - sin²θ)

sin³θ = sin θ (1 - cos²θ)

Substitute these identities into the expression:

Numerator:

3 cos³θ - 2 cos θ

= 3 cos θ (1 - sin²θ) - 2 cos θ

= 3 cos θ - 3 cos θ sin²θ - 2 cos θ

= (3 cos θ - 2 cos θ) - 3 cos θ sin²θ

= cos θ - 3 cos θ sin²θ

Denominator:

sin θ - 3 sin³θ

= sin θ - 3 sin θ (1 - cos²θ)

= sin θ - 3 sin θ + 3 sin θ cos²θ

= -2 sin θ + 3 sin θ cos²θ

We notice that:

cos θ = 1 - sin²θ and sin²θ = 1 - cos²θ.

Combine the simplified numerator and denominator:

Numerator: cos θ - 3 cos θ sin²θ

Denominator: -2 sin θ + 3 sin θ cos²θ

By substituting and simplifying, we find:

The expression simplifies to: (cos θ / sin θ) = cot θ

Final Answer: The expression (3 cos³θ - 2 cos θ) / (sin θ - 3 sin³θ) is equal to cot θ.

Shortcut Trick Put θ = 90, then cot2θ = 1/0, undefined and cotθ = 0.

And the expression on putting is also 0.

So, answer is cotθ.

option a and b cannot be answer as given expression is in terms of cosθ / sinθ.

Given:

x + y + z = 15

2x - y + z = 12

x - y - z = -1

Formula Used:

Solving the system of linear equations using elimination or substitution method.

Calculation:

From equation 3: x - y - z = -1

⇒ x = y + z - 1 ... (1)

Substitute equation (1) into equation 1:

(y + z - 1) + y + z = 15

⇒ y + z - 1 + y + z = 15

⇒ 2y + 2z - 1 = 15

⇒ 2y + 2z = 16

⇒ y + z = 8 ... (2)

Substitute equation (1) into equation 2:

2(y + z - 1) - y + z = 12

⇒ 2y + 2z - 2 - y + z = 12

⇒ y + 3z - 2 = 12

⇒ y + 3z = 14 ... (3)

From equation (2) and (3):

Subtract equation (2) from equation (3):

(y + 3z) - (y + z) = 14 - 8

⇒ 2z = 6

⇒ z = 3

Substitute z = 3 into equation (2):

y + 3 = 8

⇒ y = 5

Substitute y = 5 and z = 3 into equation (1):

x = y + z - 1

⇒ x = 5 + 3 - 1

⇒ x = 7

Solution:

x = 7, y = 5, z = 3

Formula used:

Average manufacturing = $\frac{\text{Sum of computers in 5 years}}{5}$

Calculations:

For Company A:

Total = 240 + 300 + 1250 + 470 + 320 = 2580

Average = $\frac{2580}{5} = 516$

For Company B:

Total = 120 + 530 + 650 + 320 + 1070 = 2690

Average = $\frac{2690}{5} = 538$

For Company C:

Total = 270 + 490 + 430 + 1180 + 550 = 2920

Average = $\frac{2920}{5} = 584$

For Company D:

Total = 280 + 650 + 710 + 890 + 480 = 3010

Average = $\frac{3010}{5} = 602$

∴ Company A has the minimum average of 516 thousand computers manufactured from 2010 to 2014.

Given:

From the graph, the sales (in million units) for the three months are:

Shirt: 3 (January), 8 (March), 12 (May) = Total: 23

Trouser: 5 (January), 9 (March), 14 (May) = Total: 28

Coat: 7 (January), 10 (March), 11 (May) = Total: 28

T-shirt: 4 (January), 6 (March), 10 (May) = Total: 20 (Least selling)

Jacket: 6 (January), 7 (March), 13 (May) = Total: 26

Formula used:

Percentage of least selling item = $\frac{\text{Least selling item}}{\text{Total sales}} \times 100$

Calculations:

Total sales of the company = 23 (Shirt) + 28 (Trouser) + 28 (Coat) + 20 (T-shirt) + 26 (Jacket) = 125 million units

Percentage of least selling item (T-shirt) = $\frac{20}{125} \times 100$

⇒ Percentage = 16%

∴ The percentage of the sale of the least selling item (T-shirt) over the total sale of the company is 16%.

Given:

Percentage = 12.75%

Formula Used:

Fraction = Percentage / 100

Calculation:

12.75% is equivalent to 12.75 / 100

⇒ 12.75 / 100 = 1275 / 10000

⇒ 1275 / 10000 = 51 / 400

The correct answer is option 3.

Given:

Principal amount (P) = Rs. 50,000

Amount after 4 years (A) = Rs. 72,000

Time (T) = 4 years

Formula Used:

Simple Interest (SI) = A - P

Rate of Interest (R) = (SI × 100) / (P × T)

Calculation:

Simple Interest (SI) = 72,000 - 50,000

SI = 22,000

Rate of Interest (R) = (22,000 × 100) / (50,000 × 4)

Rate of Interest (R) ⇒ (2,200,000) / (200,000)

Rate of Interest (R) ⇒ 11%

The rate of interest is 11% per annum.

Given:-

1. 8/11
2. 4/5
3. 1/2
4. 1/11

Solution:

To determine the greatest ratio, we can compare the fractions by converting them to a common denominator or by comparing their decimal values.

1. Convert each fraction to decimal form:

8/11 ≈ 0.727

4/5 = 0.8

1/2 = 0.5

1/11 ≈ 0.091

2. Compare the decimal values:

0.8 (4/5) > 0.727 (8/11) > 0.5 (1/2) > 0.091 (1/11)

Final Answer: The greatest ratio among the given options is 4/5.

The correct answer is Football

Key Points

• The term 'banana kick' is associated with the sport of Football.
• A banana kick is a type of kick that curves or bends in the air, typically used in free kicks and corner kicks.
• This technique is often used to navigate around defensive walls or to place the ball into the goal from a challenging angle.
• Famous footballers known for their banana kicks include legends like David Beckham and Roberto Carlos.

Additional Information

• The physics behind a banana kick involves imparting spin to the ball, resulting in a curved trajectory due to the Magnus effect.
• Mastering the banana kick requires significant skill, practice, and an understanding of ball dynamics.
• This technique adds a strategic element to the game, allowing players to create scoring opportunities from set pieces.

The correct answer is Spontaneous Radioactivity

Key Points

• Henri Becquerel received the Nobel Prize in Physics in 1903 for his discovery of Spontaneous Radioactivity.
• He shared the prize with Marie Curie and Pierre Curie, who were also recognized for their work in the field of radioactivity.
• Henri Becquerel's discovery was pivotal in the development of atomic physics and the understanding of radioactive phenomena.
• This discovery was made when Becquerel found that uranium salts emitted rays that could expose photographic plates, even without sunlight.

Additional Information

• The Nobel Prize in Physics was established by the will of Alfred Nobel, the inventor of dynamite, and has been awarded annually since 1901.
• Henri Becquerel's work laid the groundwork for future research and applications in nuclear energy and medical diagnostics.
• Radioactivity is the process by which unstable atomic nuclei lose energy by emitting radiation, which can include alpha particles, beta particles, and gamma rays.
• Becquerel's discovery was initially accidental but led to significant advancements in both theoretical and applied physics.

The correct answer is Kerala

Key Points

• Kalaripayattu is an ancient martial art form that originated in the state of Kerala.
• It is considered one of the oldest fighting systems in existence and includes strikes, kicks, grappling, and weaponry.
• The word 'Kalaripayattu' is derived from the Malayalam words 'Kalari', meaning training ground, and 'Payattu', meaning fight.
• It has a rich history and is not just a martial art but also a way to enhance physical fitness, mental strength, and spiritual growth.

Additional Information

• Kalaripayattu is often referred to as the 'mother of all martial arts' due to its ancient origins.
• There are different styles of Kalaripayattu, primarily the Northern and Southern styles, each with its own unique techniques and training methods.
• It also incorporates elements of traditional Indian medicine and healing practices, including massage and herbal treatments.
• Kalaripayattu is not only practiced in Kerala but has also gained popularity in other parts of India and around the world.
• It has influenced the development of various other martial arts and is often showcased in cultural performances and films.

The correct answer is Tue Jan 31 2023 00:00:00 GMT+0530 (India Standard Time)

Key Points

• The Maritime Anti-Piracy Act, 2022 received the assent of the President on Tue Jan 31 2023 00:00:00 GMT+0530 (India Standard Time).
• The Act aims to provide an effective legal framework to combat piracy and ensure the safety and security of maritime trade routes.
• It defines piracy and prescribes stringent punishments for those involved in such activities.
• The Act aligns with India's commitment to international conventions and treaties on maritime safety and security.

Additional Information

• Piracy is defined under the Act as any illegal act of violence, detention, or depredation committed for private ends by the crew or passengers of a private ship or aircraft, and directed on the high seas against another ship or aircraft, or against persons or property on board such ship or aircraft.
• The Act extends to the Exclusive Economic Zone (EEZ) of India and applies to all persons irrespective of their nationality.
• The legislation also provides for the establishment of designated courts for the speedy trial of piracy-related offenses.

The correct answer is Dharmapala founded the Valabhi university

Key Points

• Dharmapala founded the Vikramashila University, not the Valabhi university.
• The Pala Dynasty was an important ruling dynasty in eastern India, particularly in the regions of Bengal and Bihar.
• Devapala, the third ruler of the Pala Dynasty, was indeed the grandson of Gopala, the dynasty's founder.
• The Pala kings were notable patrons of Buddhism and played a significant role in the spread of Mahayana Buddhism in Tibet.
• Gopala, who founded the Pala dynasty, came to power around the mid-8th century CE.

Additional Information

• The Pala Dynasty is known for its contributions to the art, culture, and architecture of Bengal and Bihar regions.
• The dynasty's name "Pala" means "protector" and was used as a suffix to the names of all Pala monarchs.
• Dharmapala, one of the most prominent rulers of the Pala Dynasty, was instrumental in establishing the Pala influence over northern India.
• The Pala period is often regarded as a high point in the history of Bengal and Bihar, marked by prosperity and cultural flourishing.
• The Pala rulers were also known for their military prowess and diplomatic relations with other regional powers.

The correct answer is Pandavani

Key Points

• Pandavani is a traditional folk music form from Chhattisgarh that is based on the epic Mahabharata.
• It is a narrative singing style where the performer enacts stories from the Mahabharata, often accompanied by musical instruments such as the tambura and harmonium.
• This form of storytelling is characterized by its dramatic and expressive performance, where the singer uses both song and speech to convey the tales of the Pandavas.
• Pandavani is not just a musical performance but also a theatrical one, involving gestures, facial expressions, and sometimes even props.

Additional Information

• Pandavani performers often belong to the Bhajan Mandali tradition, which is a group dedicated to performing devotional songs and stories.
• One of the most renowned Pandavani performers is Teejan Bai, who has received numerous awards for her contribution to this art form, including the Padma Shri and Padma Bhushan.
• The art form has been instrumental in preserving the oral tradition of the Mahabharata in the region, making it accessible to the local populace.
• Pandavani performances are usually held during festivals, special occasions, and in village gatherings, serving as a form of entertainment as well as cultural education.

The correct answer is Christianity

Key Points

• Good Friday is a significant day in Christianity.
• It commemorates the crucifixion of Jesus Christ and his death at Calvary.
• Good Friday is observed during Holy Week as part of the Paschal Triduum on the Friday preceding Easter Sunday.
• The day is marked by various religious activities, including church services, fasting, and prayers.
• It is a solemn day reflecting on the sacrifices made by Jesus Christ for humanity.

Additional Information

• Good Friday is also known as Holy Friday, Great Friday, Great and Holy Friday, and Black Friday.
• The date of Good Friday varies each year as it is based on the lunisolar calendar used in Christianity.
• In many countries, Good Friday is a public holiday, and various traditions and customs are followed to observe the day.
• The symbolism of the cross is paramount on Good Friday, representing the suffering and sacrifice of Jesus Christ.
• In some Christian denominations, the Stations of the Cross are observed, depicting the final hours of Jesus' life.

The correct answer is Hola Mohalla

Key Points

• Hola Mohalla is a significant Sikh festival celebrated with great enthusiasm.
• It was started by the tenth Sikh Guru, Guru Gobind Singh, as a gathering for military exercises and mock battles.
• The festival usually takes place during the month of March, coinciding with the Indian festival of Holi.
• It is marked by a display of martial arts, poetry, and religious hymns, emphasizing the martial spirit of the Sikh community.
• The event is held at Anandpur Sahib in Punjab, where large processions and community meals (langars) are organized.

Additional Information

• Anandpur Sahib is one of the most important religious sites in Sikhism, established by Guru Tegh Bahadur, the ninth Sikh Guru.
• The festival of Hola Mohalla is a three-day event that includes kirtan, religious lectures, and discussions.
• It is a time for Sikhs to remember their heritage and the sacrifices made by their ancestors.
• Participants also engage in physical activities such as wrestling, sword fighting, and horse riding, showcasing their skills and valor.
• In addition to the martial displays, cultural activities like poetry recitations and music performances are also held.