SSC CHSL Tier-1 2024: Official Paper (Held On: 10 Jul, 2024 Shift 4) (Previous Year Paper)

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect use of the article "a" before the term "romantic poet."
• When referring to a singular countable noun, the appropriate article must be used. "Romantic poet" correctly requires the article "a" before it.
• Additionally, in the phrase "in an unusual manner", the article "an" is correctly used before the word "unusual".
• Thus, Option 1 is the correct choice as it uses the articles appropriately.

Therefore, the correct answer is Option 1.

Correct Sentence: "William Wordsworth was a romantic poet. He did things in an unusual manner."

Additional Information

• Option 2: "William Wordsworth was romantic poet. He did things in an unusual manner." – This option is incorrect because it omits the article "a" before "romantic poet".
• Option 3: "William Wordsworth was the romantic poet. He did things in a unusual manner." – This option is incorrect because it uses the wrong article "the" before "romantic poet" and "a" should be "an" before "unusual".
• Option 4: "William Wordsworth was a romantic poet. He did things in a unusual manner." – This option is incorrect because it uses the article "a" instead of "an" before "unusual".

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect use of the phrase "was first to reach."
• A more grammatically correct way to express this would be "was the first to reach."
• The inclusion of the definite article "the" is necessary for clarity and correctness.
• Thus, the error is located in part 1 of the sentence.

Therefore, the correct answer is Option 1.

Correct Sentence: "The manager noticed that Pragya was the first to reach the office on Saturday."

Additional Information

• Part 2: "the office on Saturday." – This part of the sentence is grammatically correct and does not require any changes.
• Part 3: "that Pragya" – This part of the sentence is grammatically correct and does not require any changes.
• Part 4: "The manager noticed" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 4.

Key Points

• The primary issue in the sentence is the phrase "gave out prizes."
• The correct phrase should be "gave away prizes," which is more commonly used and accepted in standard English.
• Thus, the error is located in part 4 of the sentence.

Therefore, the correct answer is Option 4.

Correct Sentence: "The chief guest gave away prizes to the meritorious students of the school."

Additional Information

• 1) "of the school." – This part of the sentence is grammatically correct and does not require any changes.
• 2) "The chief guest" – This part of the sentence is grammatically correct and does not require any changes.
• 3) "to the meritorious students" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 4.

Key Points

• The primary issue in the sentence is the incorrect subject-verb agreement.
• The word "Mathematics" is a singular noun, and therefore, it should be followed by a singular verb.
• The correct verb should be "helps" instead of "help."
• Thus, the error is located in part D of the sentence.

Therefore, the correct answer is Option 4.

Correct Sentence: "Mathematics helps in developing the logical mindset of students."

Additional Information

• A: "Mathematics help" – This part of the sentence contains the error of subject-verb agreement and should be corrected to "Mathematics helps".
• B: "in developing" – This part of the sentence is grammatically correct and does not require any changes.
• C: "the logical mindset" – This part of the sentence is grammatically correct and does not require any changes.
• D: "of students" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 2.

Key Points

• The word "essential" means absolutely necessary or extremely important. (अत्यावश्यक)
• Water is indeed essential for life and good health, making it the most appropriate choice for the blank.
• The other options: "intrinsic," "primary," and "insistent" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 2'.

Complete Sentence: Water is essential for life and for good health.

Additional Information

• Intrinsic (मूलभूत): means belonging naturally; inherent. Although water is intrinsic to life, in the context of the sentence, "essential" is more appropriate.
• Primary (मुख्य): means of chief importance; principal. While important, "primary" doesn't capture the life-sustaining quality that "essential" does.
• Insistent (अभ्यन्य): means demanding something forcefully, not as relevant in the context of water being necessary for life.

The correct answer is Option 1.

Key Points

• The word "prevent" means to stop something from happening or arising. (रोकना)
• Safe drinking water can indeed prevent many water-related diseases, making it the most appropriate choice for the blank.
• The other options: "forbid," "restrain," and "hamper" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 1'.

Complete Sentence: Not only is it necessary for us to be able to meet our daily needs but safe drinking water can prevent many water-related diseases.

Additional Information

• Forbid (मनाई करना): means to refuse to allow something. This is not as relevant in the context of disease prevention.
• Restrain (अवरुद्ध करना): means to hold back or keep under control. This does not fit well in the context of preventing diseases.
• Hamper (बाधा डालना): means to hinder or impede the movement or progress of something. This is opposite to what is needed in the context.

The correct answer is Option 2.

Key Points

• The word "diseases" refers to illnesses or health conditions affecting the body. (रोग)
• The context of the passage is discussing health issues related to water, specifically mentioning ailments like diarrhoea, dysentery, and cholera, which are all diseases.
• The other options: "sufferings," "laments," and "distress" do not specifically refer to illnesses, making them less appropriate in this context.

​Therefore, the correct answer is 'Option 2'.

Complete Sentence: India has one of the largest number of cases of diseases such as diarrhoea, dysentery, and cholera.

Additional Information

• Sufferings (पीड़ा): refers to experiences of physical or mental pain, not specific to diseases.
• Laments (शोक): refers to expressions of grief or sorrow, not directly related to illnesses.
• Distress (कष्ट): refers to extreme anxiety, sorrow, or pain, but not specifically illnesses.

The correct answer is Option 4.

Key Points

• The word "reportedly" means according to what some say, a report, or indications. It indicates that the information is based on reports. (रिपोर्ट के अनुसार)
• The passage is referring to a statistic about daily deaths due to water-related diseases, which is something that would be obtained from reports and statistics.
• The other options: "ostensibly," "distinctly," and "assuredly" do not fit the context as appropriately. "Ostensibly" means apparently or purportedly, but perhaps not actually; "distinctly" means clearly; and "assuredly" means certainly or confidently.

​Therefore, the correct answer is 'Option 4'.

Complete Sentence: Over 1,600 Indians, most of them children below the age of five, reportedly die every day because of water-related diseases.

Additional Information

• Ostensibly (प्रकट रूप से): means apparently or purportedly, but perhaps not actually. It wouldn't be suitable here as it casts doubt on the information.
• Distinctly (स्पष्ट रूप से): means clearly. This does not fit well in the context of statistical reporting.
• Assuredly (निश्चित रूप से): means certainly or confidently. This would imply a level of certainty that is not applicable to reported figures.

The correct answer is Option 4.

Key Points

• The word "access" means the ability or right to approach, enter, or use something. (प्रवेश या उपयोग की अनुमति)
• In the context of the passage, "access to safe drinking water" is the correct phrasing, indicating the ability for people to obtain safe drinking water.
• The other options: "entrance," "accession," and "providence" do not fit the context as appropriately. "Entrance" refers to a place of entry; "accession" refers to the attainment of a position of rank or power; and "providence" means divine guidance or care, none of which are suitable in this context.

​Therefore, the correct answer is 'Option 4'.

Complete Sentence: These deaths can be prevented if people have access to safe drinking water.

Additional Information

• Entrance (प्रवेश): means a place or point of entering. It does not convey the sense of having the ability to use something.
• Accession (अधिकार प्राप्त करना): means the attainment of a rank or power. This term is not appropriate for the context of obtaining water.
• Providence (देखरेख या संरक्षण): means divine guidance or care. This term does not fit in the context of practical access to a resource.

The correct answer is “ Division “.

 Key Points:

• Division (विभाजन): This means separating or splitting something into parts, which fits well with the context of a committee being split unnecessarily.

• ***Example:***The river forms a natural division between the two states.

Therefore, “division” (विभाजन) is the most suitable word to replace “split” in this context.

Additional Information:

•   Mix (मिश्रण): This refers to combining or mixing different elements together, which is the opposite of what “split” conveys.

• ***Example:***If you mix blue and yellow, you get green.

•Blend (मिश्रण): Similar to “mix,” it refers to combining elements smoothly, which is also contrary to the idea of splitting or dividing.

• Example:

To make a smoothie, blend the fruits, milk, and ice until smooth.

•    Combination (संगठन): This refers to putting things together or combining them, which doesn’t align with the meaning of “split.”

•***Example:***You need to enter the right number combination to unlock the safe.

The correct answer is 1) Strong.

Key Points:

॰  Strong (मजबूत):

This means powerful, having great physical strength, which is the opposite of “feeble” (weak).

▪***Example:***She has strong muscles from years of weightlifting.

॰Feeble(कमजोर)

Additinal Information:

॰   Intelligent (बुद्धिमान):

This means smart or having a high mental capacity, but it is not the opposite of “feeble**’**which relates to physical weakness.

▪ ***Example:***She is an intelligent student who consistently gets top grades.

॰Major (मुख्य):

This refers to something important or significant, but it doesn’t contrast with “feeble.”

▪ ***Example:***The company is facing a major financial crisis that needs immediate attention.

॰  Mystic (रहस्यमयी):

This means having a mysterious or spiritual quality, which is unrelated to “feeble.”

 ▪Example :“The decision to build a new hospital is a major step for the community,”

The correct answer is Option 1.

Key Points

• The sentence "It has been found that the trees are being destroyed by a moth." is grammatically correct as it stands.
• It correctly uses the present perfect continuous tense to indicate an action that started in the past and is still continuing.
• No substitutions are needed for the given sentence to be grammatically correct and clear.

Therefore, the correct answer is Option 1: No substitution required.

Additional Information

• Option 2: "have destroyed" – This changes the tense and meaning of the sentence, suggesting the destruction is already complete.
• Option 3: "have been destroying" – This implies the trees have been continuously destroyed up to now, but it is not as precise as the original sentence.
• Option 4: "is being destroyed" – This changes the subject-verb agreement, making the sentence incorrect.
• No substitution required – This is the correct option as the original sentence is already correct.

The correct answer is 'Option 1'.

 Key Points

• The word 'Evasive' means trying to avoid something; not direct.(टालने वाला)
• Example-His answers were evasive and didn't address the real issue.
• "Equivocal" means open to more than one interpretation; ambiguous or evasive.(अस्पष्ट/गोलमोल)
• Example-He gave an equivocal answer to the question.
• Hence, we can infer that synonym of 'evasive' is 'equivocal'.

Therefore, the correct answer is Equivocal.

Additional Information Here are the other options explained along with their Hindi meaning and example sentences:

• Cohesive(जोड़नेवाला): united and working together effectively
• Example-A cohesive team works well together and supports each other.
• Accessible(पहुंच योग्य): possible to be reached or entered
• Example-The site is accessible by a choice of means of transport.
• Abrasive(अपघर्षक): rough and likely to scratch
• Example-The wood should be rubbed down with fine abrasive paper.

The correct answer is Option 3

Key Points

• The word 'outflow' means a movement away from a place(बाहर निकलना)
• Example- I am trying to measure the outflow of water/sewage from that pipe.
• Influx means large numbers of people or things arriving suddenly(अन्तर्वाह)
• Example-The city has experienced an influx of visitors
• Hence, we can infer that the opposite of "outflow" is "influx".

Therefore, the correct answer is 'Influx'.

Additional Information Here are the other options explained along with their Hindi meaning and example sentences:

• Deluge(बाढ़): a sudden, very heavy fall of rain; a flood.
• Example- A deluge of rain put a stop to the match
• Income(आमदनी): the money you receive in exchange for your labor or products
• Example-He earns a good income as a consultant.
• Torrent(धारा): a strong fast flow of something, especially water
• Example-The storm turned the stream into a raging torrent

The correct option is 'Option 3'.

Key Points 

• The word Impulsive means something done without careful thought; likely to act suddenly and without thinking​​.(आवेगशील)
• ​Example- She made an impulsive decision to quit her job.
• ​"Cautious" means someone careful to avoid potential problems or dangers; careful; wary.(सावधान)
• ​Example-Any cautious tourist will guard her passport.
• Hence, we can infer that the antonym of 'Impulsive' is 'Cautious'.

Therefore, the correct answer is Cautious.

Additional InformationHere are some other options explained along with their Hindi meaning and example sentences.

• Passive(निष्क्रिय): accepting or allowing what happens or what others do.
• ​Example- Life is too short for any of us, and all of us, to be passive.
• **Aggressive(**आक्रामक) : ready or likely to attack or confront.
• ​Example- This was not an aggressive protest as we are not an aggressive or violent group.
• **Hasty(**जल्दबाज़ी) :done with excessive speed or urgency.
• ​Example- It was a hasty decision you may live to regret.​​​​

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect verb tense used in the second clause.
• In conditional sentences of this type (third conditional), the correct structure is "would have" followed by the past participle of the verb.
• The correct phrase should be "I would have gone," ensuring grammatical correctness and clarity.

Therefore, the correct answer is Option 1.

Correct Sentence: "Had you been to Dubai, I would have gone with you."

Additional Information

• Option 2: "I would has also gone" – This option is incorrect as "would has" is not a valid construction; it should be "would have".
• Option 3: "I will have went" – This option is incorrect as "will have went" is not grammatically correct; it should be "would have gone".
• Option 4: "I shall be gone" – This option is incorrect as it does not fit the context of the sentence.

The correct answer is Option 2.

Key Points

• The original sentence is: "This serum contains ingredients enabling the hair to grow."
• The primary issue in the sentence is that "enabling the hair to grow" is not as clear and concise as it could be.
• Option 2, "that enable the hair to grow," provides a clearer and more grammatically correct structure.
• Thus, the error is in the segment that needs substitution.

Therefore, the correct answer is Option 2.

Correct Sentence: "This serum contains ingredients that enable the hair to grow."

Additional Information

• Option 1: "for growing many hair" – This option is grammatically incorrect as "many hair" is not a proper phrase.
• Option 3: "the enable grow hair" – This option is grammatically incorrect as the structure is awkward and incorrect.
• Option 4: "for growth hair" – This option is grammatically incorrect as the phrase "growth hair" is not a proper construction.

The correct answer is Option 3.

Key Points

• The phrase "get a job" is the most commonly used and contextually appropriate in this sentence.
• The other options are either grammatically incorrect or do not fit the context as naturally as "get a job."
• "Experience a job" and "learn a job" are not commonly used phrases.
• "Receive a job" is less common and does not fit as naturally as "get a job."

Therefore, the correct answer is Option 3.

Correct Sentence: "Tom is trying to get a job as soon as possible."

Additional Information

• Option 1: "experience a job" – This phrase is not commonly used and does not fit naturally in the context.
• Option 2: "receive a job" – This phrase is less common and somewhat awkward in this context.
• Option 4: "learn a job" – This phrase is not typically used to describe the process of obtaining employment.

The correct answer is 'Option 4'.

Key Points

• The word 'commence' means to bring or come into activity; begin; start.(आरंभ)
• Example- The festivities will commence with a parade.
• "End"- a final part of something; finish; close.(अंत) 
• ​Example- His career was at an end.
• Hence, we can infer that the antonym of 'commence' is 'end'.

Therefore, the correct answer is end.

Additional InformationHere are the other options explained along with their Hindi meaning and example sentences.

• Voodoo(जादू टोना): A religion that is based on African ancestor worship and practiced chiefly in Haiti.
• Example- Rahul's family practiced voodoo.
• Discussion(बहस): The action or process of talking about something in order to reach a decision or to exchange ideas.
• Example-  The committee acts as a forum for discussion.
• **Amusing(**विनोदी): causing laughter and providing entertainment.
• ​Example- David found the joke very amusing.

The correct answer is: Option 3.

Key Points

• The idiom "Costing an arm and a leg" means something that is very expensive or costly. (बहुत महंगा)
• Example: That designer handbag costs an arm and a leg.
• Very costly and luxurious refers to items or experiences that are extremely expensive and often high-end or opulent. (बहुत महंगा और शानदार)
• Example: The five-star hotel offers very costly and luxurious accommodations.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Very entertaining and jovial (बहुत मनोरंजक और खुशमिजाज): Something that is highly amusing and cheerful.
• Example: The comedy show was very entertaining and jovial.
• Very attractive and cheap (बहुत आकर्षक और सस्ता): Something that looks good but is inexpensive.
• Example: The dress was very attractive and cheap, perfect for the party.
• Very rough and tough (बहुत कठोर और मजबूत): Something that is very strong and durable.
• Example: The terrain was very rough and tough, challenging for the hikers.

The correct answer is: Option 3.

Key Points

• The word "collectble" is incorrectly spelt. The correct spelling is "collectible", which means something worth collecting, often due to being rare or valuable. (संग्रहणीय)
• Example: Many people consider vintage stamps to be highly collectible.
• "Collectible" refers to an item that is worth collecting due to its rarity, value, or appeal. (संग्रहणीय)
• Example: Rare coins are often considered collectible items by enthusiasts.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Currantly (वर्तमान में): Incorrect spelling of "currently".
• Example: Incorrect: He is currantly working on a new project.
• Currintly (वर्तमान में): Incorrect spelling of "currently".
• Example: Incorrect: She is currintly studying for her exams.
• Collectable (संग्रहणीय): An alternative but less common spelling of "collectible".
• Example: Some people use the term collectable to refer to rare items.
• Collectibile (संग्रहणीय): Incorrect spelling of "collectible".
• Example: Incorrect: Many toys from the 1980s are now considered collectibile.

The correct answer is Option 4.

Key Points

• The phrase “are know for” is incorrect and should be replaced with “are known for”.
• Using “their” makes the sentence more specific to the artists of Telangana.
• The correct phrase should be “are known for their amazing bronze castings,” ensuring grammatical correctness and clarity.

Therefore, the correct answer is Option 4.

Correct Sentence: "Telangana artists are known for their amazing bronze castings."

Additional Information

• Option 1: “Is known to the amazing bronze castings” – Incorrect due to subject-verb agreement and inappropriate preposition usage.
• Option 2: “Have to know the amazing bronze castings” – Incorrect as it changes the meaning entirely.
• Option 3: “Have been knew to the amazing bronze castings” – Incorrect due to improper verb form usage.

The correct answer is 'Option 3'.

Key Points

• The word 'Massive' means large and heavy or solid.(विशाल)
• Example- Heavy rain has caused a massive landslide just yards from a world-famous Brontë shrine.
• Tiny means very small.(छोटा)
• Example- We can live crowded together in vast cities or as tiny groups in remote deserts.
• Hence, we can infer that the opposite of 'massive' is 'tiny'.

Therefore, the correct answer is 'Tiny'.

Additional Information

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

From the given options:

1. "Tall" means having a greater than average height, which is not directly opposite to massive.
2. "Formidable" means inspiring fear or respect through being impressively large, powerful, or capable, which is not the opposite of massive.
3. "Tiny" means very small, which is directly opposite to massive.
4. "Heavy" means having great weight, which is similar in meaning to massive.

The most appropriate antonym of the word "massive" from the given options is:

1. Tiny

Explanation: "Tiny" means very small and is the opposite of "massive."

The correct answer is: Option 1.

Key Points

• The idiom "Going through a sticky patch" means to experience a difficult or troublesome period in life. (कठिन समय से गुजरना)
• Example: After losing his job, John has been going through a sticky patch.
• "To experience a bad period in life" refers to facing challenges or hardships that make life tough. (जीवन में बुरे समय का अनुभव करना)
• Example: She went through a bad period in life when her business failed.

Therefore, the correct answer is: Option 1.

Additional Information

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

• To feel sad (दुखी महसूस करना): To experience feelings of unhappiness or sorrow.
• Example: She started to feel sad after hearing the bad news.
• To walk on a muddy road (कीचड़ भरी सड़क पर चलना): To physically walk on a road that is covered in mud.
• Example: We had to walk on a muddy road to reach the village.
• Try to paste something unsuccessfully (कुछ चिपकाने की असफल कोशिश करना): To attempt to stick something but fail.
• Example: He tried to paste the poster on the wall but it kept falling down.

The correct answer is: Option 1.

Key Points

• The word "Neice" is incorrectly spelt. The correct spelling is "Niece." (भतीजी / भांजी)
• Example: My niece loves to draw and paint.
• "Niece" refers to the daughter of one's brother or sister, or of one's brother-in-law or sister-in-law. (भतीजी / भांजी)
• Example: She bought a lovely birthday gift for her niece.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Dilemma (दुविधा): A situation in which a difficult choice has to be made between two or more alternatives.
• Example: She faced a dilemma about whether to accept the job offer or stay in her current position.
• Warranty (गारंटी): A written guarantee, issued to the purchaser of an article by its manufacturer, promising to repair or replace it if necessary within a specified period of time.
• Example: The phone comes with a two-year warranty.
• Committee (समिति): A group of people appointed for a specific function by a larger group and typically consisting of members of that group.
• Example: The committee will meet next week to discuss the new policy.

Given : 24 ÷ 10 + 68 × 2 - 16 = ?

According to the question, after '+' and '-' are interchanged and '×' and '÷' are interchanged:

24 ÷ 10 + 68 × 2 - 16 = ? ⇒ 24 × 10 - 68 ÷ 2 + 16 = ?

⇒ 24 × 10 - 68 ÷ 2 + 16 = ?

⇒ 24 × 10 - 34 + 16 = ?

⇒ 240 + 16 - 34 = ?

⇒ 256 - 34 = ?

⇒ 222 = ?

Hence, "Option 1" is the correct answer.

Given: 27 September 2001 was Thursday.

Now,

2001 to 2009 = 8 Years (6 Ordinary Years and 2 Leap Years).

And, In 8 Years = 2 Leap years and 6 Ordinary Years.

So, 2 Leap Years have 4 odd days,

And, 6 Ordinary Years have 6 odd days.

Total odd days = 4 + 6 = 10.

10 odd days → 10/7 = 1 week and 3 odd days.

then, 27 September 2009 will be Thursday + 3 = Sunday.

Now, the number of days between 27 September 2009 to 22 October 2009

= 3 (September) + 22 (October) = 25 days.

= 25 days → 25/7 = 3 weeks and 4 odd days.

So, 22 October 2009 will be Sunday + 4 = Thursday.

Hence, the correct answer is "Option 4".

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

Conclusions:

I. All grains are trees → Does not follow (As some leaves are trees and some grains are leaves. So it is possible but not definite.)

II. Some leaves are stones → Does not follow (As all stones are grain and some grains are leaves. So it is possible but not definite.)

∴ Here, Neither conclusion (I) nor (II) follows.​

Hence, the correct answer is "Option 1"

The logic followed here is:

1. First box series → Elements shift upward clockwise and the top right corner element is replaced by new element. 

2) Second box series → Top three element shift clockwise and bottom three elements shift anticlockwise. 

Thus, the final series is:

Hence, "Option 4" is the correct answer.

The number of rectangle in the given figure are shown below:

Thus, as marked there are a total of 10 rectangles.

Hence, "Option 1" is the correct answer.

Decoding symbols:

Given: N $ O @ P @ Q & R

N $ O → N is the mother of O.

O @ P → O is the son of P.

P @ Q → P is the son of Q.

Q & R → Q is the wife of R.

Thus, R is O's parental grandfather or father's father.

Hence, the correct answer is "Option 1"$.

The figure which will look like the paper when unfolded is shown below:

Thus, option Figure 4 will look like the paper when unfolded.

Hence, "Option 4" is the correct answer.

Given : 123 - 41 × 14 + 2 ÷ 7 = ?

According to the question, after '+' and '×' are interchanged and ‘-' and '÷' are interchanged:

123 - 41 × 14 + 2 ÷ 7 = ? ⇒ 123 ÷ 41 + 14 × 2 - 7 = ?

⇒ 123 ÷ 41 + 14 × 2 - 7 = ?

⇒ 3 + 14 × 2 - 7 = ?

⇒ 3 + 28 - 7 = ?

⇒ 31 - 7 = ?

⇒ 24 = ?

Hence, "Option 4" is the correct answer.

Given : 35 + (25 × 3 − 45) ÷ 2 + (15 × 4) = 125

According to the question, after interchanging the numbers :

Option 1) 25 and 35

35 + (25 × 3 − 45) ÷ 2 + (15 × 4) = 125 ⇒ 25 + (35 × 3 − 45) ÷ 2 + (15 × 4) = 125

⇒ 25 + (35 × 3 − 45) ÷ 2 + (15 × 4) = 125

⇒ 25 + (105 − 45) ÷ 2 + 60 = 125

⇒ 25 + 26.25 ÷ 2 + 60 = 125

⇒ 25 + 13.125 + 60 = 125

⇒ 98.125 ≠ 125 (LHS ≠ RHS)

Option  2) 15 and 25

35 + (25 × 3 − 45) ÷ 2 + (15 × 4) = 125 ⇒ 35 + (15 × 3 − 45) ÷ 2 + (25 × 4) = 125

⇒ 35 + (15 × 3 − 45) ÷ 2 + (25 × 4) = 125

⇒ 35 + (45 − 45) ÷ 2 + 100 = 125

⇒ 35 + 0 ÷ 2 + 100 = 125

⇒ 35 + 0 + 100 = 125

⇒135 ≠ 125 (LHS ≠ RHS)

Option  3) 2 and 15

35 + (25 × 3 − 45) ÷ 2 + (15 × 4) = 125 ⇒ 35 + (25 × 3 − 45) ÷ 15 + (2 × 4) = 125

⇒ 35 + (25 × 3 − 45) ÷ 15 + (2 × 4) = 125

⇒ 35 + (75 − 45) ÷ 15 + 8 = 125

⇒ 35 + 30 ÷ 15 + 8 = 125

⇒ 35 + 2 + 60 = 125

⇒ 97 ≠ 125 (LHS ≠ RHS)

Option  4) 35 and 45

35 + (25 × 3 − 45) ÷ 2 + (15 × 4) = 125 ⇒ 45 + (25 × 3 − 35) ÷ 2 + (15 × 4) = 125

⇒ 45 + (25 × 3 − 35) ÷ 2 + (15 × 4) = 125

⇒ 45 + (75 − 35) ÷ 2 + 60 = 125

⇒ 45 + 40 ÷ 2 + 60 = 125

⇒ 45 + 20 + 60 = 125

⇒ 125 = 125 (LHS = RHS)

Hence, "Option 4" is the correct answer.

The logic followed here is:

Hence, "Option 4" is the correct answer.

Alternate Method

The logic followed here is:

Hence, "Option 3" is the correct answer.

Given: 17 December 2012 was Monday.

Now,

2012 to 2020 = 8 Years (6 Ordinary Years and 2 Leap Years).

And, In 8 Years = 2 Leap Years and 6 Ordinary Years.

So, 2 Leap Years have 4 odd days,

And, 6 Ordinary Years have 6 odd days.

Total odd days = 4 + 6 = 10.

10 odd days → 10/7 = 1 week and 3 odd days.

then, 17 December 2020 will be Monday + 3 = Thursday.

Now, the number of days between 18 November 2020 to 17 December 2020

= 12 + 17 = 29 days.

= 29 days → 29/7 = 4 weeks and 1 odd days.

The dates are in past, so subtract 1 days from the day on 17 December 2020 which is Thursday

So, 18 November 2020 will be Thursday - 1 = Wednesday.

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 4.

Hence, the correct answer is "Option 4".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 4".

The logic followed here is:

Option 1) IJQRS

Option 2) FGNOP

Option 3) RSXYZ

Option 4) OPWXY

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

Hence, "Option 3" is the correct answer.

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

∴ Here, the given figure is embedded in Option Figure 4.

Hence, the correct answer is "Option 4".

Given : 92 × 2 - 13 + 2 ÷ 6 = ?

According to the question, after  '+' and '-' are interchanged and '×' and '÷' are interchanged:

92 × 2 - 13 + 2 ÷ 6 = ? ⇒ 92 ÷ 2 + 13 - 2 × 6 = ?

⇒ 92 ÷ 2 + 13 - 2 × 6 = ?

⇒ 46 + 13 - 2 × 6 = ?

⇒ 46 + 13 - 12 = ?

⇒ 59 - 12 = ?

⇒ 47 = ?

Hence, "Option 1" is the correct answer.

The logic followed here is:

‘RIVER’ is coded as ‘SJWFS’

And,

‘SYSTEM’ is coded as ‘TZTUFN’

Similarly,

‘PACK’ is coded as

Hence, "Option 2" is the correct answer.

The logic followed here is:

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

Now,

For, (32, 35, 201)

⇒ (32 + 35) × 3 = 67 × 3 = 201.

For, (26, 29, 165)

⇒ (26 + 29) × 3 = 55 × 3 = 165.

Similarly, for (23, 26, 147)

⇒ (23 + 26) × 3 = 49 × 3 = 147.

Hence, the correct answer is "Option 2".

According to the given information,

Thus, according to the given codes 'db' is the code for the word 'something'.

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: Opposites (Antonyms)

Here,

Loaning : Borrowing → Loaning is an act of giving money temporarily, whereas Borrowing is an act of receiving money temporarily.

Similarly,

cruel : kind → cruel (क्रूर) is the opposite of kind (दयालु).

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: 1^st number ÷ 3 = 2^nd number.

Now,

For, 102 : 34

⇒ 102 ÷ 3 = 34.

For, 171 : 57

⇒ 171 ÷ 3 = 57.

Similarly, for 237 ∶ ?

⇒ 237 ÷ 3 = 79.

Hence, the correct answer is "Option 2".

The logic followed here is:

QTWA is related to ZCFJ

And,

MKBZ is related to VTKI

Similarly,

EYCM is related to

Hence, "Option 1" is the correct answer.

The logic followed here is:

Hence, "Option 4" 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:

5 → 8

10 → 6

7 → 9

Therefore, '9' is the opposite of '7'.

Hence, "Option 1" is the correct answer.

Given:

Principal (P) at 8% = Amount (A) - Interest (SI)

Amount (A) = ₹820

Time (t) = 8 years

Rate (r) = 8%

Formula used:

Simple Interest (SI) = P × r × t / 100

Amount (A) = P + SI

Calculations:

820 = P + (P × 8 × 8 / 100)

⇒ 820 = P + (64P / 100)

⇒ 820 = P (1 + 0.64)

⇒ 820 = P × 1.64

⇒ P = 820 / 1.64

⇒ P = ₹500

Now, for 20% interest for 10 years:

Rate (r) = 20%

Time (t) = 10 years

Simple Interest (SI) = P × r × t / 100

⇒ SI = 500 × 20 × 10 / 100

⇒ SI = ₹1000

Amount (A) = P + SI

⇒ A = 500 + 1000

⇒ A = ₹1500

∴ The correct answer is option (3).

Given:

Let the third number be 100.

The first number is 61% less than the third number, so the first number = 100 - 61 = 39.

The second number is 35% less than the third number, so the second number = 100 - 35 = 65.

Formula used:

Percentage of the first number relative to the second number = (First number / Second number) × 100

Calculation:

⇒ Percentage = (39 / 65) × 100

⇒ Percentage ≈ 60%

∴ The first number is 60% of the second number.

Given:

In an isosceles triangle, the vertex angle is four times the sum of the base angles.

Formula used:

Let the base angle be x.

Vertex angle = 4(2x) (since the sum of base angles is 2x)

Sum of angles in a triangle = 180º

Calculation:

2x + 4(2x) = 180º

⇒ 2x + 8x = 180º

⇒ 10x = 180º

⇒ x = 18º

Vertex angle = 4(2x) = 4(36º) = 144º

Square root of the vertex angle = √144º = 12º

∴ The correct answer is option (2).

Given:

The surface area of the sphere is 616 cm²

Formula used:

Surface Area of Sphere, S = 4πr²

Calculation:

4πr² = 616

⇒ $\dfrac{616}{4π}$

⇒ $\dfrac{616}{4 \times 3.14}$

⇒ $\dfrac{616}{12.56}$

⇒ r² = 49

⇒ r = √49

⇒ r = 7.0 cm

∴ The correct answer is option 2.

Shortcut Trick

Given 3 tan θ = 4 ⇒ tan θ = 4/3.

Divide the numerator and denominator by cos θ to convert the expression into tan θ.

Expression = (9 tan θ + 2) / (9 tan θ − 2)

Substitute tan θ = 4/3 ⇒ (9 × 4/3 + 2) / (9 × 4/3 − 2) = (12 + 2) / (12 − 2) = 14 / 10 = 7/5.

∴ The correct answer is 7/5.

Alternate Method

Given: 3 tan θ = 4

Formula Used: tan θ = Perpendicular / Base; sin θ = P/H; cos θ = B/H

⇒ tan θ = 4/3

⇒ Let Perpendicular (P) = 4, Base (B) = 3

⇒ Hypotenuse (H) = √(P² + B²) = √(4² + 3²) = √25 = 5

⇒ sin θ = 4/5 and cos θ = 3/5

⇒ (9 × 4/5 + 2 × 3/5) / (9 × 4/5 − 2 × 3/5)

⇒ (36/5 + 6/5) / (36/5 − 6/5) = (42/5) / (30/5)

⇒ 42 / 30 = 7/5

∴ The correct answer is 7/5.

Additional Information

Trigonometric Ratios

Fundamental ratios are sin θ = P/H, cos θ = B/H, and tan θ = P/B.

Pythagorean Triplets

Sets of three positive integers (a, b, c) such that a² + b² = c². Common triplets include (3, 4, 5) and (5, 12, 13).

Ratio Transformation

An expression involving sin θ and cos θ of the same degree can be simplified by dividing by cos θ or sin θ to convert it into tan θ or cot θ.

Given:

In an election between two candidates, Ananth and Aravind, Ananth got 55% of the total valid votes, and 20% of the votes were invalid. If the total number of votes was 30,000, find the number of valid votes that Aravind got.

Formula used:

Total Valid Votes = Total Votes × (1 - Invalid Vote Percentage)

Aravind's Votes = Total Valid Votes - Ananth's Votes

Calculation:

Total Votes = 30,000

Invalid Votes Percentage = 20%

Ananth's Vote Percentage = 55%

Total Valid Votes = 30,000 × (1 - 0.20)

⇒ Total Valid Votes = 30,000 × 0.80

⇒ Total Valid Votes = 24,000

Ananth's Votes = 24,000 × 0.55

⇒ Ananth's Votes = 13,200

Aravind's Votes = Total Valid Votes - Ananth's Votes

⇒ Aravind's Votes = 24,000 - 13,200

⇒ Aravind's Votes = 10,800

∴ The correct answer is option 4.

Given:

Total number of tourists = 2,50,000

Country-wise distribution:

• American = 40%
• British = 25%
• Russian = 15%
• Others = 20%

Age-wise distribution:

• Below 10 years = 15%
• Between 10-30 years = 25%
• Between 31-50 years = 50%
• Above 50 years = 10%

Step 1: Find the number of American tourists below 10 years.

American tourists = 40% of 2,50,000 = (40/100) × 2,50,000 = 1,00,000

American tourists below 10 years = 15% of 1,00,000 = (15/100) × 1,00,000 = 15,000

Step 2: Find the number of other tourists above 50 years.

Other tourists = 20% of 2,50,000 = (20/100) × 2,50,000 = 50,000

Other tourists above 50 years = 10% of 50,000 = (10/100) × 50,000 = 5,000

Step 3: Find the required ratio.

Ratio = American tourists below 10 years : Other tourists above 50 years

⇒ Ratio = 15,000 : 5,000

⇒ Ratio = 3 : 1

∴ The ratio of American tourists below 10 years to other tourists above 50 years is 3:1.

Given:

When 2256 is divided by 17, the remainder would be:

Formula used:

Using Fermat's Little Theorem: a^p-1 ≡ 1 (mod p) for a prime p and integer a

Calculation:

2256 ≡ 2²⁵⁶ (mod 17)

By Fermat's Little Theorem:

2¹⁶ ≡ 1 (mod 17)

⇒ 2²⁵⁶ = (2¹⁶)¹⁶

⇒ 2²⁵⁶ ≡ 1¹⁶ (mod 17)

⇒ 2²⁵⁶ ≡ 1 (mod 17)

∴ The correct answer is option 1.

Given

PB = 4.2 cm and AB = 7 cm

AP = 4.2 + 7 = 11.2

PD = 2.8 cm and Let CD = x.

PC = 2.8 + x

As we know,

AP × PB = PC × PD

11.2 × 4.2 = (x + 2.8) × 2.8 

⇒ x + 2.8 = (11.2 × 4.2) / 2.8

⇒ x + 2.8 = 16.8

⇒ x = 16.8 – 2.8

⇒ x = 14 cm

Given:

A solid metallic cube having surface area of 54 cm² is melted to form smaller cubes of surface area (8)/(12) cm² each.

Formula used:

Surface area of a cube = 6a² (where 'a' is the side length)

Calculation:

Let 'A' be the side length of the large cube.

6A² = 54

⇒ A² = 9

⇒ A = 3 cm

Volume of the large cube = A³ = 3³ = 27 cm³

Let 'a' be the side length of the smaller cubes.

Surface area of each smaller cube = 6a² = (8)/(12) cm²

⇒ a² = (8)/(12) / 6 = (8)/(72)

⇒ a² = (1)/(9)

⇒ a = 1/3 cm

Volume of each smaller cube = a³ = (1/3)³ = 1/27 cm³

Number of smaller cubes = Volume of large cube / Volume of one smaller cube

⇒ 27 / (1/27)

⇒ 27 × 27

⇒ 729

∴ The correct answer is option 1.

Given:

∆ABC and ∆PQR are similar.

Area of ∆ABC = 289 sq.cm

Area of ∆PQR = 576 sq.cm

PR = 12 cm

Formula used:

If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Calculation:

Let AC be the corresponding side of PR in ∆ABC.

$\dfrac{Area of ∆ABC}{Area of ∆PQR} = \left(\dfrac{AC}{PR}\right)^2$

$\dfrac{289}{576} = \left(\dfrac{AC}{12}\right)^2$

⇒ $\left(\dfrac{AC}{12}\right)^2 = \dfrac{289}{576}$

⇒ $AC = 12 \times \sqrt{\dfrac{289}{576}}$

⇒ $AC = 12 \times \dfrac{17}{24}$

⇒ $AC = 8.5$

∴ The correct answer is option 1.

Shortcut Trick

Initial Ratio (Milk : Water) = 7 : 5

Final Ratio (Milk : Water) = 7 : 9

Since Milk remains constant (7 units), the change in Water is 9 − 5 = 4 units.

4 units → 9 litres ⇒ 1 unit = 2.25 litres.

Initial Milk = 7 units = 7 × 2.25 = 15.75 litres.

Correction based on replacement logic: If 9 litres of mixture was replaced, but here 9 litres of milk is replaced by water, total volume remains same.

Initial Milk = 7x, after removing 9L milk and adding 9L water: (7x − 9) / (5x + 9) = 7/9 ⇒ 63x − 81 = 35x + 63 ⇒ 28x = 144 ⇒ x = 36/7. Initial Milk = 7 × (36/7) = 36 litres.

∴ The correct answer is 36 litres.

Alternate Method

Given: Initial Ratio = 7 : 5 | Final Ratio = 7 : 9 | 9 litres Milk replaced by Water.

Calculations:

⇒ Let the initial quantity of Milk be 7x and Water be 5x.

⇒ According to the question, 9 litres of Milk is replaced by 9 litres of Water.

⇒ New quantity of Milk = 7x − 9

⇒ New quantity of Water = 5x + 9

⇒ New Ratio = (7x − 9) / (5x + 9) = 7 / 9

⇒ 9 × (7x − 9) = 7 × (5x + 9)

⇒ 63x − 81 = 35x + 63

⇒ 63x − 35x = 63 + 81

⇒ 28x = 144

⇒ x = 144 / 28 = 36 / 7

⇒ Initial Milk = 7x = 7 × (36 / 7) = 36 litres.

∴ The correct answer is 36 litres.

Additional Information

Ratio and Proportion

If a : b = c : d, then product of extremes equals product of means (a × d = b × c).

Mixture Replacement Rule

When a specific quantity of one component is replaced by another, the total volume of the mixture remains constant.

Alligation Cross Method

Used to find the ratio in which two ingredients are mixed to produce a mixture of a desired price or concentration.

Given:

Total votes = 8000

Invalid votes = 15% of total votes

Valid votes for one candidate = 52% of total valid votes

Formula used:

Valid votes = Total votes × (100% - Invalid votes%)

Votes for the other candidate = Total valid votes × (100% - Votes for one candidate%)

Calculation:

Invalid votes = 15% of 8000

⇒ Invalid votes = 0.15 × 8000

⇒ Invalid votes = 1200

Total valid votes = 8000 - 1200

⇒ Total valid votes = 6800

Votes for one candidate = 52% of 6800

⇒ Votes for one candidate = 0.52 × 6800

⇒ Votes for one candidate = 3536

Votes for the other candidate = 6800 - 3536

⇒ Votes for the other candidate = 3264

∴ The correct answer is option 2.

Given:

Maths books = 17,462

Computers books = 14,308

Circuit Theory books = 9,948

Graph Theory books = 642

Formula used:

Ratio = (Maths + Computers) / (Circuit Theory + Graph Theory)

Calculation:

Ratio = (17,462 + 14,308) / (9,948 + 642)

⇒ Ratio = 31,770 / 10,590

⇒ Ratio = 3:1

∴ The ratio of Maths and Computers to Circuit Theory and Graph Theory is 3:1.

Given:

A costs thrice as much as B. A is sold at a loss of 10%, and B is sold at (5/4) of its own price. If the selling price of A is Rs. 5,800 more than the selling price of B, then the cost price of A is:

Formula used:

Selling Price (SP) = Cost Price (CP) - Loss

Selling Price (SP) = Cost Price (CP) × Profit Factor

Calculation:

Let the cost price of B be Rs. x.

Then, the cost price of A = 3x.

Selling price of A = 3x - 0.1 × 3x = 3x - 0.3x = 2.7x

Selling price of B = 5/4 × x = 1.25x

Given: Selling price of A is Rs. 5,800 more than the selling price of B.

⇒ 2.7x - 1.25x = 5800

⇒ 1.45x = 5800

⇒ x = 5800 / 1.45

⇒ x = 4000

Cost price of A = 3x = 3 × 4000 = 12000

∴ The correct answer is option (3).

Given:

The average weight of 40 apples = 33 kg

The average weight of 32 apples = 60 kg

Formula used:

Average weight =Total weight of all apples / Total number of apples

Calculations:

Total weight of 40 apples = 40 × 33 = 1320 kg

Total weight of 32 apples = 32 × 60 = 1920 kg

Total weight of all apples = 1320 + 1920 = 3240 kg

Total number of apples = 40 + 32 = 72

⇒ Average weight = 3240 / 72

⇒ Average weight = 45 kg

∴ The correct answer is option 4.

Given:

If '÷' means '×', '×' means '÷', '+' means '-', '-' means '+', then 47 ÷ (10 × 5) + (4 - 5) - 6 is:

Formula used:

Replace the symbols according to the given conditions.

Calculation:

Given expression: 47 ÷ (10 × 5) + (4 - 5) - 6 becomes,

⇒ 47 × (10 ÷ 5) - (4 + 5) + 6

⇒ 47 × 2 - 9+ 6

⇒ 94 - 3

⇒ 91

Therefore, the correct answer is option (3).

Given:

For what value of k (k > 0) will the lines 5x + ky - 2 = 0 and (k + 1)x + 4y + 7 = 0 be parallel?

Formula used:

Two lines are parallel if their slopes are equal.

For the line ax + by + c = 0, the slope (m) is given by $-\dfrac{a}{b}$

Calculation:

For the line 5x + ky - 2 = 0, slope $\left(m_1\right)= -\dfrac{5}{k}$

For the line (k + 1)x + 4y + 7 = 0, slope $\left(m_2\right)= -\dfrac{k+1}{4}$

Since the lines are parallel, $\left(m_1 = m_2\right)$

⇒ $-\dfrac{5}{k}= -\dfrac{k+1}{4}$

⇒ $\dfrac{5}{k}= \dfrac{k+1}{4}$

⇒ 5 × 4 = k × (k + 1)

⇒ 20 = k² + k

⇒ k² + k - 20 = 0

Solving the quadratic equation:

⇒ (k + 5)(k - 4) = 0

⇒ k = -5 or k = 4

Since k > 0, k = 4

∴ The correct answer is option (1).

Given:

A man walking at the speed of 4 km/h covers a certain distance in 6 hours and 15 minutes. If he covers the same distance by cycle in 5 hours and 10 minutes, then the speed of the cycle in km/h is:

Formula used:

Speed = Distance / Time

Calculation:

Walking speed = 4 km/h

Walking time = 6 hours 15 minutes = 6 + 15/60 hours = 6.25 hours

⇒ Distance = Speed × Time

⇒ Distance = 4 km/h × 6.25 hours = 25 km

Cycling time = 5 hours 10 minutes = 5 + 10/60 hours = 5.1667 hours

⇒ Speed of the cycle = Distance / Time

⇒ Speed of the cycle = 25 km / 5.1667 hours ≈ 4.84 km/h

⇒ Speed of the cycle in fraction form = 4 (26/31) km/h

∴ The correct answer is option 1.

Given:

The pie-chart shows various expenditures in percentages: Paper (20%), Printing (25%), Binding (30%), Royalty (15%), Miscellaneous (10%).

Formula used:

Angle corresponding to a percentage = (Percentage / 100) × 360°

Calculation:

Paper (20%): Angle = (20 / 100) × 360° = 72°

Miscellaneous (10%): Angle = (10 / 100) × 360° = 36°

Total angle for Paper and Miscellaneous = 72° + 36° = 108°

∴ The two expenditures that form an angle of 108° are Paper and Miscellaneous or option (2).

Shortcut Trick

The standard divisibility rule for 11 states that a number is completely divisible by 11 if the difference between the sum of its digits at odd positions and the sum of its digits at even positions is either 0 or a multiple of 11.

∴ The correct answer is 0 or multiple of 11.

Alternate Method

Concept & Application:

To check if a number is divisible by 11, we follow these steps:

⇒ Step 1: Find the sum of the digits at odd positions (1^st, 3^rd, 5^th, etc. from right or left).

⇒ Step 2: Find the sum of the digits at even positions (2^nd, 4^th, 6^th, etc.).

⇒ Step 3: Find the difference between these two sums.

⇒ Step 4: If the difference is 0, 11, 22, 33, or any multiple of 11, the entire number is divisible by 11.

Example 1: Consider the number 1331.

⇒ Sum of digits at odd positions = 1 + 3 = 4

⇒ Sum of digits at even positions = 3 + 1 = 4

⇒ Difference = 4 − 4 = 0

⇒ Since the difference is 0, the number 1331 is perfectly divisible by 11.

Example 2: Consider the number 918082.

⇒ Sum of digits at odd positions = 9 + 8 + 8 = 25

⇒ Sum of digits at even positions = 1 + 0 + 2 = 3

⇒ Difference = 25 − 3 = 22

⇒ Since 22 is a multiple of 11, the number 918082 is perfectly divisible by 11.

∴ The correct answer is 0 or multiple of 11.

Additional Information

Divisibility Rule of 3

A number is completely divisible by 3 if the sum of all its individual digits is a multiple of 3.

Divisibility Rule of 4

A number is divisible by 4 if the number formed by its last two digits (tens and ones place) is divisible by 4.

Divisibility Rule of 8

A number is divisible by 8 if the number formed by its last three digits (hundreds, tens, and ones place) is divisible by 8.

Divisibility Rule of 9

A number is perfectly divisible by 9 if the sum of all its digits is a multiple of 9.

Given:

Marks obtained by six students in Hindi are given as percentages. Maximum marks in Hindi = 120.

Formula used:

Marks = (Percentage / 100) × Maximum Marks

Average marks in Hindi = (Sum of marks obtained by all students in Hindi) / (Number of students)

Calculation:

• Aanya: (90 / 100) × 120 = 108
• Aarav: (90 / 100) × 120 = 108
• Lavi: (80 / 100) × 120 = 96
• Monika: (100 / 100) × 120 = 120
• Devyansh: (100 / 100) × 120 = 120
• Tanmay: (70 / 100) × 120 = 84

Sum of marks = 108 + 108 + 96 + 120 + 120 + 84 = 636

Average marks = 636 / 6 = 106

∴ The average marks obtained by all six students in Hindi is 106.

Given:

If the surface areas of two spheres are in the ratio of 49 ∶ 81, then find the ratio of their volumes.

Formula used:

Surface Area of a Sphere = 4πr²

Volume of a Sphere = (4/3)πr³

Calculation:

Let the radii of the two spheres be r₁ and r₂.

Given surface areas ratio: (4πr₁²) / (4πr₂²) = 49 / 81

⇒ (r₁ / r₂)² = 49 / 81

⇒ r₁ / r₂ = √(49 / 81)

⇒ r₁ / r₂ = 7 / 9

Now, the ratio of their volumes:

(Volume of Sphere 1) / (Volume of Sphere 2) = [(4/3)πr₁³] / [(4/3)πr₂³]

⇒ (r₁ / r₂)³

⇒ (7 / 9)³

⇒ 343 / 729

∴ The correct answer is option (4).

Given:

In ΔABC, AB = √3 units, BC = 1 unit, and AC = 2 units

Calculation:

(1, √3, 2) makes a triplet as

2² = (1)² + (√3)²

4 = 1 + 3

4 = 4

So, Δ ABC is a right-angle triangle at angle B

Now, for ∠ACB:

tan C = p/b = AB/BC

⇒ tan C = √3/1 = √3

⇒ tan C = tan 60° 

So, ∠C = 60° 

Hence, ∠ACB = 60° 

∴ The correct answer is option (4).

Given:

P completes a work in 12 days and Q in 24 days.

Formula used:

Work rate of P = 1/12 work/day

Work rate of Q = 1/24 work/day

Combined work rate of P and Q = 1/12 + 1/24 work/day

Calculation:

Combined work rate = 1/12 + 1/24

⇒ Combined work rate = 2/24 + 1/24

⇒ Combined work rate = 3/24

⇒ Combined work rate = 1/8 work/day

Time to complete the work together = 1 / (1/8)

⇒ Time to complete the work together = 8 days

∴ The correct answer is option 2.

Alternate Method L.C.M (12,24) = 24 (Total work)

A does = 24/12 = 2 units of work in one day.

B does = 24/24 = 1 unit of work in one day.

Together A and B do = 2+1 = 3 units of work in one day.

So, they finish work in 24 / 3 = 8 days.

The correct answer is 5%.

Key Points

• The 10^th Five-Year Plan (2002-2007) aimed to reduce poverty by 5%.
• The plan emphasized inclusive growth and sought to improve the living standards of the poor and marginalized sections of society.
• It focused on enhancing employment opportunities and ensuring access to essential services like education and healthcare.
• The plan also aimed to strengthen the rural economy and promote self-reliance among disadvantaged groups.
• The poverty reduction was considered a crucial goal for achieving overall economic development and stability.

Additional Information

• First Five-Year Plan (1951-1956):
• Focused on agriculture and irrigation.
• Aimed to achieve a growth rate of 2.1% and reduce poverty by creating employment opportunities.
• Second Five-Year Plan (1956-1961):
• Emphasized industrialization and economic self-sufficiency.
• Aimed for a growth rate of 4.5% and set the stage for poverty alleviation through economic development.
• Third Five-Year Plan (1961-1966):
• Focused on self-reliance and the development of the agricultural sector.
• Targeted a growth rate of 5.6% but faced challenges due to wars and droughts.
• Fourth Five-Year Plan (1969-1974):
• Aimed at achieving a growth rate of 5.7% and reducing poverty through rural development.
• Emphasized equity and social justice.
• Fifth Five-Year Plan (1974-1979):
• Focused on employment generation and poverty alleviation.
• Aimed for a growth rate of 4.4%, but faced challenges due to political instability.
• Sixth Five-Year Plan (1980-1985):
• Emphasized poverty alleviation, employment generation, and self-reliance.
• Aimed for a growth rate of 5.2%.
• Seventh Five-Year Plan (1985-1990):
• Focused on the strategy of growth with social justice.
• Aimed for a growth rate of 5% and emphasized the importance of reducing poverty.
• Eighth Five-Year Plan (1992-1997):
• Focused on economic liberalization and poverty reduction.
• Aimed for a growth rate of 5.6% and included initiatives to enhance the quality of life for the poor.
• Ninth Five-Year Plan (1997-2002):
• Emphasized poverty alleviation and employment generation.
• Targeted a growth rate of 6.5% and aimed to reduce poverty by 5% during the plan period.

The correct answer is Option 4.

Key Points

• Earth and Venus are often referred to as "sister planets" due to their similar sizes, with Earth having a diameter of about 12,742 km and Venus around 12,104 km.
• Mars is not the warmest planet; Venus is the hottest due to its thick atmosphere that traps heat.
• Saturn has a much lower density than Earth. Saturn is the least dense planet in the solar system, with a density less than that of water.
• Jupiter is significantly larger than Mars; in fact, it is the largest planet in our solar system, while Mars is much smaller.

Additional Information

• Jupiter's diameter is about 139,822 km, making it more than 6 times larger than Earth.
• Mars has a thin atmosphere and average temperatures around -80 degrees Fahrenheit (-62 degrees Celsius), much colder than Earth.
• Venus has a dense atmosphere composed mainly of carbon dioxide, contributing to its extreme greenhouse effect and surface temperatures around 900 degrees Fahrenheit (475 degrees Celsius).
• Saturn is famous for its prominent ring system, which is made up of ice and rock particles ranging in size.
• While Earth is a rocky planet, both Venus and Mars are also terrestrial, but they differ significantly in terms of surface conditions and atmospheres.
• Earth has a stronger gravitational pull compared to Mars and Venus due to its larger mass, affecting the potential for retaining an atmosphere and sustaining life.

The correct answer is Option 3.

Key Points

• S Abdul Nazeer was appointed as the Governor of Andhra Pradesh on February 12, 2023.
• The role of governors in India includes being the constitutional head of a state and overseeing its legislative assembly.
• Ramesh Baish is the Governor of Maharashtra.
• Phagu Chauhan is the Governor of Meghalaya.
• Shiv Pratap Shukla is the Governor of Himachal Pradesh.

Additional Information

• Article 153 states that there shall be a Governor for each state. This establishes the role of the governor as a constitutional authority.
• Governors are appointed by the President of India, as per Article 155, which empowers the President to appoint governors at their discretion.
• While governors typically serve a term of five years, they hold office at the pleasure of the President, meaning they can be removed at any time.
• Governors have various powers, including legislative, executive, and judicial functions, and they play a key role in the state government’s functioning, including the ability to summon and prorogue the state legislature.
• | Aspect | Governor | President | | --- | --- | --- | | Position | The constitutional head of a state | Constitutional head of the country | | Appointment | Appointed by the President of India | Elected by an electoral college | | Term | Typically serves a term of 5 years | Serves a term of 5 years | | Powers | Has executive, legislative, and judicial powers in the state | Has executive powers at the national level | | Role | Acts as a link between the central government and the state government | Represents the nation and performs ceremonial duties | | Removal | Can be removed by the President at any time | Can be impeached by Parliament | | Legislative Role | Summons and prorogues state legislature sessions | Summons and prorogues Parliament sessions | | Judicial Powers | Has the power to grant pardons in the state | Has the power to grant pardons at the national level | | Political Influence | Often has ties with the ruling party in the state | Represents the ruling party at the national level, but acts as a neutral figure |

The correct answer is Gujarat.

Key Points

• National Games:-
• The National Games is a biennial multi-sport event that features athletes from all over India.
• The event is organized by the Indian Olympic Association (IOA) and is considered to be one of the biggest sporting events in the country.
• The 36^th National Games were held in Gujarat from 29^th Sep 2022 to 12^th Oct 2022.
• New Delhi and Kerala have also hosted the National Games in the past.

Additional Information

• Andhra Pradesh: The 32^nd National Games were held in Andhra Pradesh in 2002.
• The event was held in the city of Hyderabad and featured 34 sports disciplines.
• New Delhi: The 26^th National Games were held in New Delhi in 1985.
• Kerala: The 27^th and 35^th National Games were held in Kerala in 1987, and 2015 respectively.
• Kerala is known for its sports culture and has produced many top athletes in various sports.
• Comparison of the National Games of India and the Olympics:

The correct answer is Justus von Liebig.

Key Points

• Justus von Liebig (1803-1873) was a German chemist and is often referred to as the father of modern organic chemistry.
• In 1835, Justus von Liebig developed a process to coat glass with metallic silver, resulting in the creation of the first modern mirror.
• Liebig's work in agriculture led to the development of fertilizers, which improved crop yields and agricultural practices.
• Liebig received various honors for his contributions to science, including being elected as a member of several prestigious scientific societies.

Additional Information

• C.V. Raman:
• An Indian physicist known for his discovery of the Raman Effect in 1928, which explained the scattering of light and led to advancements in spectroscopy.
• He received the Nobel Prize in Physics in 1930 for his work.
• Victor Francis Hess:
• An Austrian physicist recognized for discovering cosmic rays in 1912, which contributed significantly to the field of high-energy physics.
• He won the Nobel Prize in Physics in 1936 for his contributions to the study of cosmic radiation.
• C.H. Townes:
• An American physicist known for co-developing the laser and maser technologies, which have numerous applications in communication and medicine.
• He was awarded the Nobel Prize in Physics in 1964 for his fundamental work in the field of quantum electronics.

The correct answer is Raag.

Key Points

• Miyan ki Todi is a morning raag in the Hindustani classical music tradition, typically performed during the early hours before sunrise.
• The raag is based on the Todi thaat and features a unique combination of notes, using both shuddha (natural) and komal (flat) notes, specifically:
• Arohana (ascending): S R₂ G M₁ P D₂ N D₁ S'
• Avarohana (descending): S' N D₁ P M₁ G R₂ S
• Miyan ki Todi is associated with bhakti (devotion) and often evokes feelings of longing, melancholy, and serenity.
• The raag is attributed to Miyan Tansen, one of the greatest composers and musicians of the Mughal court, enhancing its cultural significance.
• Miyan ki Todi is frequently performed by instrumentalists and vocalists in various formats, including khayal, dhrupad, and thumri, showcasing its versatility within Hindustani classical music.

Additional Information

• Tanam
• Tanam is a melodic section in the alap of a raga performance, characterized by exploration of the raga without fixed rhythm.
• It features repetitive patterns and intricate ornamentation, creating a fluid, tension-building effect.
• Tanam showcases a musician's improvisational skills and emotional expression, enhancing the overall aesthetic of the performance.
• Chhand
• Chhand refers to the metrical composition or rhythmic structure in Indian classical music and poetry, defining the arrangement of syllables in a rhythmic pattern.
• There are various types of Chhand, such as Vritta in Sanskrit poetry, which includes different metrical forms like Anushtubh, Trishtubh, and Jagati, each with a specific syllable count.
• Chhand plays a crucial role in shaping the lyrical rhythm of compositions, facilitating the integration of music and poetry, and enhancing the overall aesthetic experience in performances.
• Kirtan
• Kirtan is a form of devotional singing in Hinduism, involving the chanting of hymns or mantras that praise deities, often accompanied by musical instruments.
• It typically features a call-and-response format, where a lead singer (or guru) sings a line, and the audience or group responds, fostering community participation and spiritual engagement.
• Kirtan serves as a means of spiritual expression and devotion, playing a significant role in various religious traditions, particularly within the Bhakti movement, and is performed in temples, homes, and community gatherings.

The correct answer is Clear Formatting.

Key Points

• The "Clear Formatting" option allows you to quickly remove all applied formatting (like bold, italics, font size, color, etc.) from the selected text while preserving the actual text content.
• It can be found under the Home tab in the Font group, represented by an eraser icon labeled "Clear Formatting."
• You can also use the keyboard shortcut Ctrl + Spacebar to clear character formatting or Ctrl + Q to clear paragraph formatting.
• This feature is useful when you want to revert text to the default formatting without manually changing individual formatting elements.
• It removes custom formatting but retains the document's underlying style settings, such as the default font and paragraph styles set for the document.

Additional Information

• Cut function in MS Word
• The Cut function removes the selected text or object from its original location and places it in the clipboard, allowing you to paste it elsewhere in the document.
• You can quickly perform the Cut action using the keyboard shortcut Ctrl + X.
• The Cut option is typically used when you want to relocate content within the document or transfer it between documents.
• Paste Special in MS Word
• The Paste Special feature allows you to paste copied content in various formats, such as plain text, formatted text, or an image, depending on how you want the content to appear.
• You can access Paste Special by using the keyboard shortcut Ctrl + Alt + V or by selecting it from the Paste drop-down in the Home tab.
• It is useful when you need to control how content is pasted, for example, when you want to paste data as unformatted text or as a specific object, such as a picture or HTML content.
• Format Painter in MS Word
• Format Painter is a tool that allows you to copy formatting (such as font, color, size, and style) from one section of text and apply it to another, making formatting consistent across the document.
• It is located in the Home tab under the Clipboard group, represented by a paintbrush icon.
• You can use Format Painter by selecting the text with the desired formatting, clicking the Format Painter icon, and then selecting the text you want to apply the formatting to. Double-clicking the icon allows you to apply formatting to multiple sections.

The correct answer is Agenda for Members of Panchayati Raj Institutions for Rural Development.

Key Points

• The book titled Agenda for Members of Panchayati Raj Institutions for Rural Development was unveiled by Union Minister Giriraj Singh in the year 2022.
• The book serves as a comprehensive guide for the elected representatives of Panchayati Raj Institutions (PRIs) to effectively implement rural development programs and schemes.
• It covers various rural development aspects, including sanitation, water management, livelihood enhancement, and infrastructure development, aimed at improving the quality of life in rural areas.
• The book aims to build the capacity of PRI members by enhancing their understanding of different government schemes and how to implement them efficiently for rural development.
• The publication is an important step toward empowering local self-governance and ensuring the active participation of PRI members in achieving sustainable rural development goals across India.

Additional Information

• Modi @20 Dreams meet delivery
• The book presents an in-depth analysis of Narendra Modi’s 20 years in public service, exploring his leadership, governance model, and achievements both as the Chief Minister of Gujarat and the Prime Minister of India.
• It includes essays by prominent personalities like Amit Shah, N. Chandrasekaran, and Sudha Murthy, offering diverse perspectives on Modi's vision, policies, and their impact on national development.
• The book highlights key initiatives such as Digital India, Make in India, and Swachh Bharat, focusing on how Modi's leadership style transformed governance and aligned dreams with practical results.
• Heartfelt: The Legacy of Faith
• The book is written by Prime Minister Narendra Modi, reflecting on personal experiences and the importance of faith in navigating life’s challenges.
• It emphasizes the role of faith in shaping one’s life, highlighting spirituality, devotion, and the power of belief as key elements in personal growth and success.
• The book discusses how faith helps individuals find inner strength, remain grounded, and maintain focus in times of adversity, serving as a guiding force throughout life.
• Modi shares anecdotes and lessons from his own journey, illustrating the legacy of faith in shaping values and decisions, both in personal and professional realms.

The correct answer is Monstera.

Key Points

• Monstera develops aerial roots that grow from the stem and branches, rather than from the radicle, allowing it to climb and stabilize itself.
• These roots help the plant anchor itself, absorb moisture from the air, and gather nutrients from its environment.
• Monstera exhibits a vining growth habit, using aerial roots to cling to nearby structures and reach sunlight in its natural habitat.
• Understanding its root system is essential for proper care, as providing a support structure can promote healthy growth indoors.

Additional Information

• Maize
• In maize, roots arise from adventitious origins, primarily from the lower parts of the stem, rather than exclusively from the radicle. This helps the plant establish a strong foundation in the soil.
• Maize develops a fibrous root system, characterized by numerous thin, branching roots that spread out widely and help in effective water and nutrient absorption.
• The roots of maize can grow to significant depths, with the primary root and lateral roots supporting the plant's stability and anchoring it firmly in the ground.
• The extensive root system enhances the plant's ability to access nutrients and moisture from the soil, which is crucial for growth and development, especially in varying soil conditions.
• Mustard plant
• The mustard plant primarily develops a taproot system, where a single main root grows downward, anchoring the plant and providing stability.
• From the taproot, lateral roots emerge, which extend horizontally and help in nutrient and water absorption from the surrounding soil.
• In addition to the taproot, mustard plants can produce adventitious roots from the stem, especially near the soil surface, aiding in support and nutrient uptake.
• The combination of taproot and lateral/adventitious roots allows the mustard plant to effectively adapt to its environment, enhancing its ability to survive and thrive in diverse soil conditions.
• Turnip
• The turnip plant develops a modified taproot that becomes enlarged and fleshy. This part of the plant stores nutrients and is the edible portion commonly consumed.
• In addition to the main taproot, turnips produce lateral roots that branch out to enhance stability and increase the plant's ability to absorb water and nutrients from the soil.
• The turnip's enlarged root serves as a significant reservoir of carbohydrates and other nutrients, making it an essential food source and a key agricultural crop in various regions.