SSC CHSL 2025 Tier-1 (Held On: 25 Nov, 2025 Shift 1) (Previous Year Paper)

The correct answer is: Option 1 i.e. Numismatist.

Key Points

• The word Numismatist refers to a person who studies or collects coins, paper currency, and medals. (सिक्के या मुद्रा संग्रह करने वाला व्यक्ति)
• Example: John has been a passionate numismatist for over 15 years, with a collection of rare coins from around the world.
• Philatelist, on the other hand, refers to a person who studies or collects stamps. (डाक टिकट संग्रह करने वाला व्यक्ति)
• Example: As a philatelist, Sarah's stamp collection includes rare stamps from over 50 countries.
• Numismatist is the correct word to describe Sophie's grandfather, as he loves collecting coins. (सही शब्द "Numismatist" है क्योंकि यह सिक्के संग्रह करने वाले व्यक्ति को दर्शाता है।)

Therefore, the correct answer is: Numismatist.

Additional Information

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

• Philatelist (डाक टिकट संग्रह करने वाला व्यक्ति): A person who collects or studies postage stamps.
• Example: The philatelist spent hours organizing his collection of rare stamps.
• Collector (संग्राहक): A general term for someone who collects items of a specific type.
• Example: Maria is an art collector with an impressive collection of paintings from the Renaissance era.
• Antiquarian (प्राचीन वस्तुओं का जानकार या संग्रहकर्ता): A person who studies or collects antiques or things of the past.
• Example: The antiquarian’s house was filled with artifacts from ancient civilizations.

The correct answer is: Option 1 i.e. Sociologist.

Key Points

• A Sociologist is a person who studies human societies, their interactions, and the processes that preserve and change them. (समाजशास्त्री)
• Example: The sociologist conducted extensive research to understand the effects of urbanization on family structures.
• The question refers to someone who studies human societies, and the correct term for this profession is "Sociologist". (समाजशास्त्री)
• Example: Olivia consulted a sociologist to understand the dynamics of social change in her community.

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

Additional Information

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

• Anthropologist (मानवशास्त्री): A person who studies human origins, cultural development, and biological characteristics.
• Example: The anthropologist spent years studying the rituals of an indigenous tribe.
• Psychologist (मनोवैज्ञानिक): A professional who studies mental processes and human behavior.
• Example: The psychologist helped her patient overcome anxiety and stress.
• Archaeologist (पुरातत्त्ववेत्ता): A person who studies ancient artifacts, monuments, and remains to learn about past human life and culture.
• Example: The archaeologist discovered a 5,000-year-old pottery fragment during the excavation.

The correct answer is option 1.

Key Points

To answer this question, let's break down each sentence to identify the grammatically and contextually correct ones:

• 1. Most of tea sold in America comes from India.
• This sentence discusses the origin of tea in the American market.
• The sentence is erroneous because when using "most of" followed by a specific noun, a determiner (like "the") is required.
• The correct sentence would be: "Most of the tea sold in America comes from India" or "Most tea sold in America comes from India."
• 2. Every student has to take the preliminary test.
• This sentence describes a requirement for students.
• This sentence is grammatically and contextually correct. "Every" is followed by a singular countable noun and a singular verb.
• 3. Beena is my sister's best friend.
• This sentence describes a relationship between two people.
• This sentence is grammatically and contextually correct. The possessive apostrophe is used correctly.
• 4. The principles of science are difficult to understand.
• This sentence discusses the complexity of scientific concepts.
• This sentence is grammatically and contextually correct. "Principles" (meaning rules/tenets) is used correctly, and the plural verb "are" matches the plural subject.
• So, out of the given sentences, options 2, 3, and 4 are grammatically and contextually correct, while option 1 is erroneous.
• Therefore, the incorrect sentence is option 1.

The correct answer is 'for'.

 

Key Points

• The preposition "for" is used to indicate a reason or cause.
• In this context, the athlete was disqualified because of violating the rules, which makes "for" the appropriate preposition.
• Options 1 (with), 3 (to), and 4 (from) do not convey the correct meaning in this context.

Therefore, the correct answer is Option 2.

 

Complete Sentence: "The athlete was disqualified for violating the rules of the competition."

 

Additional Information

• Option 1: "with" is incorrect because "with" does not indicate a reason or cause in this context.
• Option 3: "to" is incorrect because "to" does not fit the grammatical structure of the sentence.
• Option 4: "from" is incorrect because "from" typically indicates separation or exclusion, which is not the intended meaning here.

The correct answer is '2' i.e. past the age.

 

Key Points

• The phrase "past the age" is the most appropriate replacement for "after the age."
• The word "past" is commonly used to refer to a period that has been surpassed or is no longer relevant.
• Options 1 ("over the age") and 3 ("on the age") do not fit the context, and option 4 ("No substitution") does not improve the sentence.

Therefore, the correct answer is Option 2.

 

Complete Sentence: "Your brother is past the age where he needs a babysitter."

 

Additional Information

• Option 1: "over the age" is incorrect as it suggests a threshold without contextually fitting the sentence's meaning.
• Option 3: "on the age" is grammatically and contextually incorrect.
• Option 4: "No substitution" is incorrect as the original phrase "after the age" is not the correct usage.

The correct answer is: Option 1 i.e. The recipe calls for a dash of salt and pepper.

Key Points

• The word "dash" has multiple meanings depending on its usage in a sentence. It can refer to a small quantity of something or a sudden movement. (डैश का मतलब या तो छोटी मात्रा या अचानक गति हो सकता है।)
• In Option 1, "dash" is used to indicate a small amount of something, specifically salt and pepper in the recipe. (यहाँ "dash" का मतलब थोड़ी मात्रा से है।)
• Example: Add a dash of lemon juice to enhance the flavor of the soup.
• The other options use "dash" in a different context, referring to a quick or sudden movement. This makes Option 1 the correct answer as it matches the homonym usage.
• Example for sudden movement: The child made a dash across the street to fetch the ball.

Therefore, the correct answer is: Option 1 i.e. The recipe calls for a dash of salt and pepper.

Additional Information

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

• Option 2: The dog made a sudden dash for the ball. (यहाँ "dash" का मतलब तेज़ गति से दौड़ने से है।)
• Example: The cat made a quick dash to escape the dog.
• Option 3: He made a quick dash to the store for some milk. (यहाँ "dash" का मतलब तेज़ी से स्टोर जाने की क्रिया से है।)
• Example: She made a dash to catch the last bus.
• Option 4: The marathon runner put on a final dash of speed. (यहाँ "dash" का मतलब दौड़ते समय तेज़ गति को बढ़ाने से है।)
• Example: With a final dash, he crossed the finish line first.

The correct answer is Option 1.

 

Key Points

• Passive voice structure: The object of the active voice sentence becomes the subject of the passive voice sentence.
• In the active voice, the sentence is: "Make sure that your children have completed their tasks before going to school."
• To convert to passive voice, the sentence must begin with "Let it be made sure" to retain the imperative tone and meaning.
• The object "their tasks" becomes the subject in the passive voice.
• The verb form "have completed" changes to the passive voice as "have been completed."
• The prepositional phrase "by your children" remains intact to indicate the doer of the action.
• The time phrase "before going to school" is placed at the end for clarity.

Therefore, the correct answer is Option 1.

 

Correct Sentence: "Let it be made sure that their tasks have been completed by your children before going to school."

 

Additional Information

• Option 1: "Let it be made sure that their tasks have been completed by your children before going to school." – This is the correct passive voice conversion of the given sentence.
• Option 2: "Made sure that their tasks have been complete by your children before going to school." – Grammatically incorrect as it lacks the imperative structure "Let it be made sure" and the verb form "complete" is incorrect.
• Option 3: "Let it be sure that their tasks have been completed by your children before going to school." – Incorrect because "Let it be sure" is not the correct imperative structure.
• Option 4: "Let it be made sure that your tasks have been completed by your children after going to school." – Incorrect as it changes the meaning of the original sentence by replacing "before" with "after."

The correct answer is Option 3.

 

Key Points

• Passive voice structure: The object of the active voice sentence becomes the subject of the passive voice sentence.
• In the active voice, the sentence is: "Suhani has written a beautiful poem on how to make your country proud."
• To convert to passive voice: Place the object "A beautiful poem on how to make your country proud" at the beginning.
• Change the active verb form "has written" to "has been written" (present perfect passive).
• Add the preposition "by" followed by the original subject "Suhani."
• Ensure the sentence remains grammatically correct and retains its original meaning.

Therefore, the correct answer is Option 3.

 

Correct Sentence: "A beautiful poem on how to make your country proud has been written by Suhani."

 

Additional Information

• Option 1: "A beautiful poem on how to to be made your country proud has been written by Suhani." – Incorrect structure and grammar.
• Option 2: "A beautiful poem on how your country to be made proud had been written by Suhani." – Incorrect tense (past perfect instead of present perfect).
• Option 4: "A beautiful poem on how to make your country proud of been written by Suhani." – Incorrect grammar ("of been written" is incorrect).

The correct answer is Option 1.

 

Key Points

• Indirect Speech: The process involves converting direct speech into a statement that maintains the original meaning but changes the verb tense and pronouns accordingly.
• Key Conversions:
• Tense Conversion:
• The present continuous tense "am going" changes to the past continuous tense "was going."
• The past simple tense "did not call" changes to the past perfect tense "had not called."
• Pronoun Changes:
• The first-person pronoun "I" changes to "she" to match the subject of the reporting clause.
• The possessive pronoun "my" changes to "her."
• Reporting Verb:
• The reporting verb "said" remains the same as no additional tone or attitude is implied.
• Sentence Structure:
• The conjunction "as" is retained to connect the two clauses logically.

Therefore, the correct answer is Option 1.

 

Correct Sentence: She said that she was going to carry all the luggage alone as she had not called her friend to help her.

 

Additional Information

• Option 2: She said that she was going to carry all the luggage alone as she did not call her friend to help her.
• Incorrect because the past simple tense "did not call" is not appropriately converted to the past perfect tense "had not called."
• Option 3: She said that she is going to carry all the luggage alone as she had not called her friend to help her.
• Incorrect because the present continuous tense "is going" is not correctly converted to the past continuous tense "was going."
• Option 4: She said that she is going to carry all the luggage alone as she did not call her friend to help her.
• Incorrect because both the present continuous tense "is going" and the past simple tense "did not call" are not properly converted to their respective past tenses.

The correct answer is Option 1.

 

Key Points

• Indirect Speech: When converting direct speech to indirect speech, the following rules apply:
• Change the pronouns to match the context.
• Adjust the tense of the verbs appropriately.
• Remove quotation marks and conjunctions such as "that" are used.
• Key Conversions:
• "I am" changes to "she was":
• Present tense "am" changes to past tense "was" in reported speech.
• "He took" changes to "he had taken":
• Simple past tense "took" changes to past perfect "had taken" to indicate an action completed before the main action.
• Possessive Pronouns:
• "My pencils" becomes "her pencils."
• "My permission" becomes "her permission."
• Correct Indirect Sentence: She said that she was not going to forgive Robin as he had taken her pencils without her permission.
• Key Explanation: Option 1 follows all grammatical rules for converting direct speech to indirect speech and maintains the meaning of the original statement.

Therefore, the correct answer is Option 1.

 

Correct Sentence: She said that she was not going to forgive Robin as he had taken her pencils without her permission.

 

Additional Information

• Option 2: She said that she is not going to forgive Robin as he had taken her pencils without her permission.
• Incorrect because "is" is in the present tense, whereas the reporting verb "said" requires a shift to the past tense ("was").
• Option 3: She said that she has not been going to forgive Robin as he had taken her pencils without her permission.
• Incorrect because "has not been" is a present perfect continuous tense, which is not appropriate for indirect speech after a past reporting verb.
• Option 4: She said that she is not going to forgive Robin as he took her pencils without her permission.
• Incorrect because "is" is in the present tense, and "took" is in the simple past tense instead of past perfect ("had taken").

The correct answer is Option 4.

 

Key Points

• Indirect Speech: The judge asked what he had to say on his defence.
• Key Conversions:
• Direct to Indirect Speech:
• The reporting verb "said" is changed to "asked" because the original sentence is a question.
• The question format changes to a statement format in indirect speech.
• Tense Change:
• The verb "do" in the direct speech is changed to "had" in the indirect speech as the reporting verb is in the past tense.
• This follows the rule of sequence of tenses.
• Pronoun Change:
• The pronoun "you" is changed to "he" to match the subject of the reporting clause.
• Punctuation and Format:
• In indirect speech, quotation marks are removed.
• The sentence is written as a statement rather than a question.

Therefore, the correct answer is Option 4.

 

Correct Sentence: The judge asked what he had to say on his defence.

 

Additional Information

• Option 1: The judge asked what he was to say on his defence.
• Incorrect as "was to say" implies a planned or future action, which does not fit the context.
• Option 2: The judge asked what he will have to say on his defence.
• Incorrect as "will have to say" uses future tense, which is not appropriate when the reporting verb is in the past tense.
• Option 3: The judge asked what he is to say on his defence.
• Incorrect as "is to say" uses present tense, which does not align with the past reporting verb.

The correct answer is Option 1.

 

Key Points

• The original sentence is in the passive voice: "The decision was made at the meeting."
• In the active voice, the subject performing the action is clearly stated, and the sentence structure changes accordingly.
• To convert this sentence into active voice, we identify the implied subject, which is "Someone."
• The verb "was made" (past tense passive) is converted to "made" (past tense active).
• The object of the passive sentence, "the decision," remains the object in the active voice sentence.

Therefore, the correct answer is Option 1.

 

Correct Sentence: "Someone made the decision at the meeting."

 

Additional Information

• Option 2: "The decision is made at the meeting." – Incorrect, as it changes the tense to present simple instead of past simple.
• Option 3: "Someone makes the decision at the meeting." – Incorrect, as it changes the tense to present simple instead of past simple.
• Option 4: "The meeting made the decision." – Incorrect, as it changes the subject to "the meeting," which does not logically perform the action in this context.

The correct answer is Option 3.

 

Key Points

• The given sentence is in the passive voice: "The concert will have been broadcast by the time we arrive."
• To convert it into active voice, identify the subject performing the action.
• In this case, the implied subject is "they" (e.g., broadcasters or organizers).
• The passive verb phrase "will have been broadcast" is changed to the active voice form "will have broadcast."
• The object "the concert" remains unchanged and follows the verb in the active voice.

Therefore, the correct answer is Option 3.

 

Correct Sentence: "They will have broadcast the concert by the time we arrive."

 

Additional Information

• Option 1: "The concert will broadcast by the time we arrive." – Incorrect because the verb "will broadcast" is not in the correct form for active voice in this context.
• Option 2: "They will broadcast the concert by the time we arrive." – Incorrect because it does not match the tense of the original sentence (future perfect).
• Option 4: "The concert has been broadcast by the time we arrive." – Incorrect because it changes the tense to present perfect, which does not match the original sentence.

The correct answer is Option 1.

 

Key Points

• Direct and Indirect Speech: Conversion between direct and indirect speech requires careful attention to verb tense, pronouns, and word order.
• Key Conversions in the Question:
• The indirect speech sentence, "He asked me if I needed to use his laptop to prepare my presentation," is converted into direct speech by:
• Replacing "asked me if" with "said to me," followed by the direct question in quotation marks.
• Changing the pronouns: "I" becomes "you," and "his" becomes "my" to reflect the perspective shift in direct speech.
• Adjusting the tense: "needed" (past tense in indirect speech) is converted back to "need" (present tense for direct speech).
• Correct Format:
• Direct speech must be enclosed in quotation marks.
• The sentence starts with a capital letter and ends with a question mark.

Therefore, the correct answer is Option 1.

 

Correct Sentence: "He said to me, ‘Do you need to use my laptop to prepare your presentation?’"

 

Additional Information

• Option 2: "He asked me, ‘Did you need my laptop to prepared your presentation?’"
• Tense is incorrect: "Did you need" suggests past tense, which does not match the original sentence's context.
• "Prepared" is grammatically incorrect; it should be "prepare."
• Option 3: "He said, ‘Do you need to used his laptop to prepare my presentation?’"
• "Used" is grammatically incorrect; it should be "use."
• Pronouns are incorrect: "his" and "my" do not match the speaker's perspective.
• Option 4: "He asked, ‘If I need to use his laptop to prepare my presentation?’"
• Incorrect sentence structure: Direct speech does not start with "If."
• Pronouns are inconsistent: "I" should be "you," and "his" should be "my."

The correct answer is 'Option 4'.

 

Key Points

• Passive Voice Structure.
• The phrase "is described" follows the standard structure for the Simple Present Passive: [Subject] + [is/am/are] + [Past Participle of the verb].
• In this sentence ("Old age is often described as..."), the subject "Old age" is receiving the action of being described by others, rather than performing the action itself.
• Tense Identification.
• The auxiliary verb "is" indicates the Present tense.
• The main verb "described" is in its past participle form (V3), which is required for all passive constructions.
• Contrast with Other Tenses.
• Present Continuous would be: "is being described."
• Present Perfect would be: "has been described."
• Simple Present (Active) would be: "describes."

Therefore, the correct answer is Option 4.

 

Additional Information

• Passive voice is frequently used in formal or objective writing (like this passage) to focus on the experience or topic (Old age) rather than the specific person doing the describing.

The correct answer is 'Option 2'.

 

Key Points

• Passive Voice with Modal Verbs.
• When a sentence contains a modal verb like "should," the passive voice follows this specific structure:
• [Object] + [Modal Verb] + [be] + [Past Participle (V3)] + [by Subject]
• Step-by-Step Conversion.
• Active: Younger generations (Subject) + should (Modal) + respect (Verb) + older individuals (Object).
• Passive: Older individuals (Object) + should + be + respected (V3) + by younger generations (Subject).
• Analysis of Other Options.
• Option 1: Changes the mood from a recommendation ("should") to a general fact ("are").
• Option 3: Changes the tense to Present Perfect ("have been").
• Option 4: Grammatically incorrect because it lacks the auxiliary "be."

Therefore, the correct answer is Option 2.

 

Additional Information

• Modal verbs include can, could, may, might, must, shall, should, will, and would. In the passive voice, every one of these follows the "Modal + be + V3" rule.
• For example: "He can solve it" becomes "It can be solved by him."

The correct answer is: Option 4 i.e. Disregard.

Key Points

• The word "neglect" means:
• Failing to care for properly; giving little or no attention or care. (उपेक्षा करना)
• Example: The garden looked unhealthy due to neglect.
• "Correct answer" means:
• Referring to the specific answer that properly defines or fits the context of the question. (सही उत्तर)
• Example: The correct answer to the quiz question assured him a perfect score.

Therefore, the correct answer is: Disregard.

Additional Information

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

• Support (समर्थन): To provide assistance or backing to someone or something.
• Example: The community came together to support the new initiative.
• Attention (ध्यान): The act of focusing on something or someone; giving consideration or notice.
• Example: The teacher's attention was focused on helping students understand the concept.
• Care (देखभाल): The provision of necessary services to maintain well-being; showing concern for.
• Example: Proper care of pets is essential for their health.

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

Key Points

• The word "uplift" means:
• To raise to a higher level; to improve the condition of something or someone. (सुधारना)
• Example: The community project aims to uplift the standard of living in the neighborhood.
• "Correct answer" means:
• Referring to the specific answer that properly defines or fits the context of the question. (सही उत्तर)
• Example: The correct answer to the quiz question assured him a perfect score.

Therefore, the closest synonym for "uplift" is: Improve.

Additional Information

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

• Depress (उदास करना): To make someone feel sad or disheartened.
• Example: The constant bad news began to depress everyone in the office.
• Decrease (कम करना): To reduce in size, number, or amount.
• Example: The company decided to decrease its production due to low demand.
• Interrupt (बाधित करना): To stop the continuous progress of an activity or process.
• Example: The speaker paused to let the applause interrupt his speech.

The correct answer is 'Option 3'.

 

Key Points

• Recommendations from Experts.
• The second paragraph explicitly states that "emotional wellbeing in old age largely depends on supportive relationships and a sense of purpose." This directly supports the choice of Option 3.
• Uplifting Activities.
• The passage lists specific actions that can improve an elderly person's outlook, such as engaging in hobbies, maintaining friendships, and feeling valued by younger generations.
• Contradicting Neglect.
• The text warns that "neglect and isolation" and a "diminishing social circle" lead to despair. Therefore, Option 1 and Option 2 (ignoring or leaving them alone) are identified as harmful rather than supportive.

Therefore, the correct answer is Option 3.

 

Additional Information

• While physical health decline is mentioned as a challenge, the author emphasizes that emotional needs (feeling heard, respected, and loved) are what truly safeguard a society's humanity, making Option 4 insufficient on its own.

The correct answer is '1' i.e. Moment.

 

Key Points

• The word "spell" in this sentence refers to a short, indefinite period of time, often characterized by a specific quality or activity.
• Among the options, "Moment" best fits as a synonym for "spell" in this context, meaning a brief period of silence.
• Options 2, 3, and 4 are incorrect because:
• Option 2: Break - Refers to a pause or interruption, which does not fit the context of a "spell of silence."
• Option 3: Speech - Refers to verbal communication, which is unrelated to silence.
• Option 4: Curse - Refers to a supernatural or negative influence, which doesn't align with the sentence's meaning.

Therefore, the correct answer is Option 1.

 

Complete Sentence: "They were caught in a m**oment of silence, each deep in thought."

 

Additional Information

• Option 2: Break - While "break" can signify a pause, it typically implies an interruption rather than a continuous state like "spell."
• Option 3: Speech - Does not relate to the context of silence, making it incorrect here.
• Option 4: Curse - Though "spell" can sometimes mean "curse," in this context, it clearly refers to a period of time rather than a supernatural influence.

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

Key Points

• The word "resignation" means the acceptance of something undesirable but inevitable. It reflects a sense of passive acknowledgment. (स्वीकार करना)
• Example: She received the bad news with quiet resignation, knowing there was nothing she could do to change it.
• The correct word here is "acceptance," which means agreeing to or coming to terms with a situation or fact. (स्वीकार करना)
• Example: His acceptance of the loss helped him move forward in life.

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

Additional Information

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

• Protest (विरोध): A strong objection or disapproval of something.
• Example: The students staged a protest against the new rules implemented by the administration.
• Resistance (प्रतिरोध): The refusal to accept or comply with something; an attempt to prevent something.
• Example: There was significant resistance to the new policy from the employees.
• Denial (इंकार): The action of declaring something to be untrue or refusing to accept the truth.
• Example: His denial of the accusation shocked everyone in the room.

The correct answer is: Option 2 i.e. A musical performance done entirely without instruments.

Key Points

• The word "record" has multiple meanings depending on the context in which it is used. (रिकॉर्ड)
• Meaning 1: A written account or documentation of facts or events. (तथ्यों या घटनाओं का लिखित दस्तावेज)
• Example: The scientist kept a record of the experiment's results in his notebook.
• Meaning 2: To capture audio or video for future playback. (भविष्य में चलाने के लिए ऑडियो या वीडियो रिकॉर्ड करना)
• Example: The band decided to record their new album in a professional studio.
• Meaning 3: The best or highest achievement in a particular field. (किसी विशेष क्षेत्र में सर्वश्रेष्ठ या उच्चतम उपलब्धि)
• Example: Usain Bolt holds the world record for the fastest 100-meter sprint.
• The phrase "a musical performance done entirely without instruments" does not represent a meaning of the word "record." This makes it the correct answer.

Therefore, the correct answer is: Option 2 i.e. A musical performance done entirely without instruments.

Additional Information

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

• Option 1: A written account or documentation of facts or events (तथ्यों या घटनाओं का लिखित दस्तावेज)
• Example: The school maintained a record of all student achievements for the year.
• Option 3: To capture audio or video for future playback (भविष्य के प्लेबैक के लिए ऑडियो या वीडियो रिकॉर्ड करना)
• Example: She decided to record a video message for her friend who lives abroad.
• Option 4: The best or highest achievement in a particular field (किसी विशेष क्षेत्र में सर्वश्रेष्ठ या उच्चतम उपलब्धि)
• Example: Breaking the previous record, the athlete achieved a new personal best in the marathon.

The correct answer is option 2 i.e. gnawing.

Key Points

• The word "gnawing" means persistent and troubling, often used to describe a feeling, such as "gnawing pain" or "gnawing anxiety."
• In this context, it refers to a feeling of intense and troubling patience while waiting for the verdict.
• The other options are misspelled and incorrect:
• Option 1 - knawing: Incorrect spelling.
• Option 3 - gnawaing: Incorrect spelling and not a valid word.
• Option 4 - gnowing: Incorrect spelling.

Correct Sentence: They waited with gnawing patience for the verdict.

Additional Information

• Gnawing: The word is derived from the verb "gnaw," which means to bite or chew on something persistently. It is often used metaphorically to describe an emotional or mental state.
• Example Sentence: She felt a gnawing sense of guilt after the argument.
• This word is commonly used in literature to convey persistent feelings or sensations.

The correct answer is option 3.

Key Points

• The correct spelling of the word is 'grandiloquence.'
• Grandiloquence is a noun that means "pompous or extravagant language, style, or manner, especially in a way that is intended to impress." (भाषा या शैली की भव्यता)
• In this context, the blank requires a word that describes the manner of speaking marked by extreme extravagance or pompousness.

Correct sentence: His style of speaking was marked by extreme grandiloquence.

Additional Information

Let’s understand why the other options are incorrect:

• Option 1: grandilquence - Incorrect spelling of the word.
• Option 2: grandeluquence - Incorrect spelling of the word.
• Option 4: grandiloquance - Incorrect spelling of the word.

The correct answer is option 4.

Key Points

The misspelled word is 'baises'.

• The correct spelling would be 'biases'.
• The word 'biases' is a noun that means 'a prejudice in favor of or against one thing, person, or group compared with another, usually in a way considered to be unfair'.
• For Example: The study found evidence of biases in the hiring process.

Therefore, the correct sentence would be:

The phenomenon of pareidolia is often discussed in relation to human cognition and perceptual biases in neuroscience literature.

Additional Information

Let's understand the meanings of the other marked words:

• Pareidolia: The tendency to perceive a specific, often meaningful image in a random or ambiguous visual pattern (e.g., seeing faces in clouds).
• Cognition: The mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.
• Neuroscience: The scientific study of the nervous system, especially in relation to behavior and learning.

Given: 1 January 2024 was Monday.

Now,

1 January 2024 to 1 January 2025 = 1 Year.

Since 2024 is a Leap Year (it is divisible by 4 and includes February 29), it has 366 days.

In a Leap Year, there are 2 odd days.

Calculation of odd days:

366 days → 366/7 = 52 weeks and 2 odd days.

Then, 1 January 2025 will be Monday + 2 = Wednesday.

Hence, the correct answer is "Option 2".

BODMAS Rule:

According to the question, the symbols denote the following operations:

Now, given the expression: 6 15 &11 5 = ?

After substituting the specified symbols, the new equation is:

6 × 15 + 11 × 5

⇒ (6 × 15) + (11 × 5)

⇒ (6 × 15) + 11 × 5 = 145

The value of the expression is 145.

Hence, the correct answer is "Option 3".$

Given: A person walks 5 km west,

Then 12 km south,

And finally 5 km east.

So, he is 12 km from his starting point.

Hence, the correct answer is "Option 2".

It will appear when opened:

Hence, the correct answer is "Option 4".

The logic followed here is:

Thus, the missing term in the series is 8.

Hence, the correct answer is "Option 1";

The logic followed here is.

Logic: The numerators of the terms follow a pattern of squares of consecutive even numbers, while the denominator remains constant at 2.

Therefore, the missing term is 64/2.

Hence, the correct answer is "Option 3".

The series follows a pattern where each letter (x, y, z) appears an increasing number of times in each successive group.

Option 4: yyxz

Let's plug the blanks into the original sequence:

x (y) z | xx **(y)**y zz | **(x)**xx yyy **(z)**zz

x, y, z (Each appears once)

xx, yy, zz (Each appears twice)

xxx, yyy, zzz (Each appears three times)

Hence, the correct answer is "Option 4".

The logic followed here is:

For IGEC : DFHJ

For USQO : PRTV

For NLJH : ?

Hence, the correct answer is "Option 2".

 

Hence, the correct answer is "Option 4".

The logic followed here is:

In a row: (Column 1 × Column 2 × Column 3) + 5 = Column 4

Row 1: (4 × 5 × 6) + 5 → 120 + 5 = 125

Row 2: (2 × 7 × 3) + 5 → 42 + 5 = 47

Similarly,

Row 3: (6 × 5 × 2) + 5 → 60 + 5 = 65

⇒ ? = 65

Hence, the correct answer is "Option 4".

The logic followed here is:

In a row: (Product of first three numbers) = Fourth number

Row 1: (4 × 5 × 2) → 20 × 2 = 40

Row 3: (5 × 4 × 3) → 20 × 3 = 60

Similarly,

Row 2: (2 × 7 × ?) = 70

⇒ 14 × ? = 70

⇒ ? = 70 ÷ 14

⇒ ? = 5

Hence, the correct answer is "Option 3".

The logic followed here is:

In each square:

Logic: (Top Left × Top Right) + Bottom Right = Bottom Left

Square 1: (3 × 4) + 5 = 17

Square 2: (4 × 2) + 6 = 14

Square 3: (5 × 2) + ? = 13

⇒ 10 + ? = 13

⇒ ? = 13 - 10

⇒ ? = 3

Hence, the correct answer is "Option 3".

Number of triangles in the given figure is,

So, the total number of triangles in the figure is 10.

Hence, the correct answer is "Option 2".

Number of triangles in the given figure is,

So, the total number of triangles in the figure is 12.

Hence, the correct answer is "Option 3".

Given: Five circles A, B, C, D, and E are compared based on their radii.

No two circles have the same radius.

1. The radius of E is the maximum.

E > __ > __ > __ > __

2. The radius of C is more than B but less than D.

D > C > B

3. The radius of B is 14 cm and the radius of A is 11 cm.

Since B (14 cm) is greater than A (11 cm), the order of all circles is:

E > D > C > B > A

4. Substitute the known values:

E > D > C > 14 cm > 11 cm

Since the radius of C must be greater than the radius of B (14 cm), we look at the given options:

• 1. 14 (Cannot be 14, as it must be more than B)
• 2. 11 (Less than B)
• 3. 10 (Less than B)
• 4. 16 (Greater than 14)

So, the only possible radius for circle C among the options is 16 cm.

Hence, the correct answer is "Option 4".

The logic followed here is:

Initial Direction: South

Total Right (R) turns: 3

Total Left (L) turns: 4

Net turn: 4L - 3R = 1 Left turn

Taking a single left turn from the South direction leads to the East.

So, he will be moving to the east.

Hence, the correct answer is "Option 4".

The option figure will complete the pattern in the question figure is,

Option 1)

Hence, the correct answer is "Option 1".

The logic followed here is: 

Logic: The number of brackets increases by one in each step, and they alternate their orientation (facing right vs. facing left).

Hence, the correct answer is "Option 1".

The logic followed here is,

Hence, the correct answer is "Option 2".

BODMAS Rule:

According to the question, the signs denote the following operations:

Now, given the expression: 12 × 4 ÷ 22 + 5 - 3 = ?

After substituting the specified symbols, the new equation is:

12 ÷ 4 + 22 − 5 × 3

⇒ (12 ÷ 4) + 22 − (5 × 3)

⇒ 3 + 22 − 15

⇒ 25 − 15 = 10

The value of the expression is 10.

Hence, the correct answer is "Option 3".

BODMAS Rule:

According to the question, the letters denote the following operations:

Now, check the equations one by one:

Equation I: 45 A 13 B 38 C 19 D 6 = 46

After substituting the specified symbols, the equation is:

45 + 13 − 38 ÷ 19 × 6

⇒ 45 + 13 − 2 × 6

⇒ 45 + 13 − 12

⇒ 58 − 12 = 46 (Correct)

Equation II: 13 A 47 B 36 C 4 D 5 = 15

After substituting the specified symbols, the equation is:

13 + 47 − 36 ÷ 4 × 5

⇒ 13 + 47 − 9 × 5

⇒ 13 + 47 − 45

⇒ 60 − 45 = 15 (Correct)

Both equations I and II are correct.

Hence, the correct answer is "Option 3".

The logic followed here is.

For BRIO : FVMS

For DRAB : HVEF

Similarly, For ATOP : ?

Hence, the correct answer is "Option 4".

The logic followed here is.

Logic: Sum of the opposite positional values of its letters - 2 

For

HEAD is coded as 88 →

Sum of opposite positional values = 19 + 22 + 26 + 23 = 90

Code = 90 - 2 = 88

REAR is coded as 64 →

Sum of opposite positional values = 9 + 22 + 26 + 9 = 66

Code = 66 - 2 = 64

The pattern observed is: (Sum of opposite positional values) - 2.

Similarly, let's find the code for FRONT:

Sum of opposite positional values = 21 + 9 + 12 + 13 + 7 = 62

Code = 62 - 2 = 60

Therefore, the code for 'FRONT' is 60.

Hence, the correct answer is "Option 4".

Given Word: MANUFACTURING

1) FACING → Can be formed

2) MARGIN → Can be formed

3) CRAFTING → Can be formed

4) COMING → Cannot be formed (Because in the given word there is no 'O')

Hence, the correct answer is "Option 4".

Given Word: CONSERVATION

1) VAIN → Can be formed

2) CAUTION → Cannot be formed (Because in the given word there is no 'U')

3) ACTOR → Can be formed

4) STAIN → Can be formed

Hence, the correct answer is "Option 2".

Given:

Marked price = Rs. 5,000

Discount = 20%

Formula Used:

Selling Price = Marked Price × (1 - Discount ÷ 100)

Calculation:

⇒ Selling Price = 5,000 × (1 - 20 ÷ 100)

⇒ Selling Price = 5,000 × (1 - 0.2)

⇒ Selling Price = 5,000 × 0.8

⇒ Selling Price = Rs. 4,000

∴ The correct answer is Rs. 4,000.

Given:

Distance 1 = 3 km

Speed 1 = 4 km/h

Distance 2 = 3 km

Speed 2 = 6 km/h

Formula Used:

Time = Distance ÷ Speed

Average Speed = Total Distance ÷ Total Time

Calculation:

⇒ Time 1 = 3 ÷ 4 = 0.75 hours

⇒ Time 2 = 3 ÷ 6 = 0.5 hours

⇒ Total Distance = 3 + 3 = 6 km

⇒ Total Time = 0.75 + 0.5 = 1.25 hours

⇒ Average Speed = 6 ÷ 1.25 = 4.8 km/h

∴ The correct answer is 4.8 km/h.

Given:

Radius = 2

Slant height = 5

Number of cones = 100

Formula Used:

Curved surface area of cone = π × r × l

Calculation:

⇒ Surface area of one cone = π × 2 × 5

⇒ = 10π

⇒ Total area for 100 cones = 100 × 10π

⇒ = 1000π

⇒ 1000 × 3.14 = 3140

∴ The correct answer is 3140 cm².

Shortcut Trick

Total Base CP = (50 × 625.50) + (70 × 712.80) = ₹81,171

Total Actual CP (including 6% storage) = 81,171 × 1.06 = ₹86,041.26

Total SP = (40 × 625.50 × 1.15) + (10 × 625.50 × 0.90) + (70 × 712.80 × 1.12) = ₹90,286.02

Profit % = [(90,286.02 − 86,041.26) ÷ 86,041.26] × 100 ≈ 4.93%

∴ The correct answer is 4.93% profit.

Alternate Method

Given:

Total calculators = 120 | Batch 1 (Cheaper) = 50 items at ₹625.50 | Batch 2 (Costlier) = 70 items at ₹712.80

Storage Cost = 6% of total purchase price | Sales: 40 at 15% profit, 10 at 10% loss, 70 at 12% profit.

Calculations:

⇒ Total Purchase Price = (50 × 625.5) + (70 × 712.8) = 31275 + 49896 = ₹81,171

⇒ Total Actual CP = 81171 + (6% of 81171) = 81171 + 4870.26 = ₹86,041.26

⇒ SP₁ (40 items) = 40 × 625.5 × 1.15 = ₹28,773

⇒ SP₂ (10 items) = 10 × 625.5 × 0.90 = ₹5,629.50

⇒ SP₃ (70 items) = 70 × 712.8 × 1.12 = ₹55,883.52

⇒ Total SP = 28773 + 5629.50 + 55883.52 = ₹90,286.02

⇒ Overall Profit = 90286.02 − 86041.26 = ₹4,244.76

⇒ Profit % = (4244.76 ÷ 86041.26) × 100 ≈ 4.933%

∴ The correct answer is 4.93% profit.

Additional Information

Total Cost Price Calculation

The Actual Cost Price must include overhead expenses like storage, transportation, or repairs. Total CP = Purchase Price + Overhead Costs.

Weighted Average Profit Percentage

When different parts of a consignment are sold at different profit/loss rates, the Overall Profit % is (Total SP − Total CP) ÷ Total CP × 100.

Impact of Overhead on Profit

If the Selling Price is constant, any increase in Overhead Costs (like storage) directly reduces the Profit Percentage.

Shortcut Trick

Reduction in diameter = 50% = 1/2 (Ratio 2 : 1)

Volume of a sphere is proportional to the cube of its diameter (V ∝ d³).

Ratio of Volumes = 2³ : 1³ = 8 : 1

Percentage decrease = [(8 − 1) ÷ 8] × 100 = 7/8 × 100 = 87.5%

∴ The correct answer is 87.5%.

Alternate Method

Given:

Initial diameter of the spherical ball = d

Reduction in diameter = 50%

Formula Used:

Volume of a sphere (V) = (1/6) × π × d³

Percentage decrease = [(Initial Volume − Final Volume) ÷ Initial Volume] × 100

⇒ Let initial diameter (d₁) = 2 units

⇒ Initial Volume (V₁) = (1/6) π (2)³ = 8π/6 units³

⇒ New diameter (d₂) = 2 − 50% of 2 = 1 unit

⇒ New Volume (V₂) = (1/6) π (1)³ = 1π/6 units³

⇒ Decrease in Volume = V₁ − V₂ = 8π/6 − 1π/6 = 7π/6 units³

⇒ Percentage decrease = [(7π/6) ÷ (8π/6)] × 100

⇒ Percentage decrease = (7 ÷ 8) × 100 = 87.5%

∴ The correct answer is 87.5%.

Additional Information

Volume of a Sphere

The amount of space inside a sphere is calculated using V = (4/3) × π × r³ or V = (1/6) × π × d³.

Surface Area of a Sphere

The total surface area is given by A = 4 × π × r² or A = π × d².

Scaling Effect on Volume

If the linear dimensions of a 3D object are changed by a factor of k, the volume changes by a factor of k³.

Successive Percentage Change

For a 50% reduction in each dimension (length, width, height), the total change is calculated as [1 − (1 − 0.50)³] × 100.

Given:

Length of tangent = 15

Radius = 9

Formula Used:

(Distance to center)² = (Tangent length)² + (Radius)²

Calculation:

⇒ Distance² = 15² + 9²

⇒ = 225 + 81 = 306

⇒ Distance = √306

⇒ ≈ 17.5

∴ The correct answer is 17.5 m.

Shortcut Trick

To find the time taken by B alone when the time for A and B together and A alone is known:

Time_B = (Time_A × Time_A+B) ÷ (Time_A − Time_A+B)

Time_B = (9 × 6) ÷ (9 − 6) = 54 ÷ 3 = 18 days.

∴ The correct answer is 18 days.

Alternate Method

Given: Time taken by A and B together = 6 days, Time taken by A alone = 9 days.

Formula Used: Total Work = Time × Efficiency

⇒ Total work = LCM of 6 and 9 = 18 units.

⇒ Efficiency of (A + B) = 18 ÷ 6 = 3 units/day

⇒ Efficiency of A = 18 ÷ 9 = 2 units/day

⇒ Efficiency of B = Efficiency of (A + B) − Efficiency of A = 3 − 2 = 1 unit/day

⇒ Time taken by B alone = Total work ÷ Efficiency of B = 18 ÷ 1 = 18 days

∴ The correct answer is 18 days.

Additional Information

Combined Work Formula

If two people finish a job in x and y days respectively, they finish it together in (x × y) ÷ (x + y) days.

Efficiency and Time Relation

Efficiency is inversely proportional to the time taken. If time ratio is a:b, then the efficiency ratio is b:a.

Negative Work Concept

In pipes and cisterns, an outlet pipe performs negative work, and its efficiency is subtracted from the total.

∴ The correct answer is 18 days.

Given:

sinx = 5 ÷ 13

Formula Used:

sin²x + cos²x = 1

Calculation:

⇒ cosx = 12 ÷ 13

⇒ (1 + cosx) ÷ (1 - cosx) = (1 + 12 ÷ 13) ÷ (1 - 12 ÷ 13)

⇒ = (25 ÷ 13) ÷ (1 ÷ 13)

⇒ = 25

∴ The correct answer is 25.

Given:

Height = 60

Angle = 45

Formula Used:

sinθ = Opposite ÷ Hypotenuse

Calculation:

⇒ sin45 = 60 ÷ Length

⇒ 1 ÷ √2 = 60 ÷ Length

⇒ Length = 60 × √2

∴ The correct answer is 60√2 m.

Given:

Cost price₁ = 16

Cost price₂ = 21

Mean price = 18

Formula Used:

Ratio = (Higher price - Mean price) : (Mean price - Lower price)

Calculation:

⇒ Ratio = (21 - 18) : (18 - 16)

⇒ = 3 : 2

∴ The correct answer is 3 : 2.

Shortcut Trick

Given sin θ + cos θ = √3/2.

Square both sides: (sin θ + cos θ)² = (√3/2)² ⇒ 1 + 2 sin θ cos θ = 3/4.

Find 2 sin θ cos θ = 3/4 − 1 = −1/4.

The required expression sin² θ + cos² θ − 2 sin θ cos θ (interpreting cos 2θ as cos² θ for the correct answer) is equivalent to 1 − 2 sin θ cos θ.

Substitute the value: 1 − (−1/4) = 1 + 1/4 = 5/4.

∴ The correct answer is 5/4.

Alternate Method

Given: sin θ + cos θ = √3/2

Formula Used: (a + b)² + (a − b)² = 2(a² + b²)

⇒ We know the algebraic identity: (sin θ + cos θ)² + (sin θ − cos θ)² = 2(sin² θ + cos² θ)

⇒ Since sin² θ + cos² θ = 1, the identity becomes: (sin θ + cos θ)² + (sin θ − cos θ)² = 2

⇒ Substitute the given value: (√3/2)² + (sin θ − cos θ)² = 2

⇒ 3/4 + (sin θ − cos θ)² = 2

⇒ (sin θ − cos θ)² = 2 − 3/4

⇒ (sin θ − cos θ)² = (8 − 3) / 4 = 5/4

⇒ The required expression sin² θ + cos² θ − 2 sin θ cos θ is equal to (sin θ − cos θ)².

∴ The correct answer is 5/4.

Additional Information

Trigonometric Identities

The Pythagorean identity sin² θ + cos² θ = 1 is valid for all real values of θ.

Algebraic Relationships

The sum and difference of squares are related by (a + b)² + (a − b)² = 2(a² + b²) and (a + b)² − (a − b)² = 4ab.

Double Angle Formulas

Important formulas include sin 2θ = 2 sin θ cos θ and cos 2θ = cos² θ − sin² θ = 1 − 2 sin² θ = 2 cos² θ − 1.

Given:

Angle subtended by diameter in a circle

Formula Used:

Angle in a semicircle = 90

Calculation:

⇒ Angle subtended by diameter at any point on the circle = 90

∴ The correct answer is 90°.

Given:

Two fixed points

Formula Used:

Infinite circles can pass through two fixed points

Calculation:

⇒ Any circle passing through two fixed points can have its center anywhere on the perpendicular bisector of the line joining the points

⇒ Number of such possible centers is infinite

⇒ Hence number of circles is infinite

∴ The correct answer is infinitely many.

Given:

Central angle = 90

Radius = 8

Formula Used:

Chord length = 2 × r × sin(θ ÷ 2)

Calculation:

⇒ Chord length = 2 × 8 × sin(90 ÷ 2)

⇒ = 16 × sin45

⇒ = 16 × (1 ÷ √2)

⇒ = 16 ÷ √2

⇒ = 8√2

∴ The correct answer is 8√2 cm.

Given:

Length : Perimeter = 7 : 22

Area = 1792

Formula Used:

Perimeter = 2 × (Length + Breadth)

Area = Length × Breadth

Calculation:

⇒ Let Length = 7x and Perimeter = 22x

⇒ 22x = 2 × (7x + Breadth)

⇒ 11x = 7x + Breadth

⇒ Breadth = 4x

⇒ Area = 7x × 4x = 28x²

⇒ 28x² = 1792

⇒ x² = 1792 ÷ 28 = 64

⇒ x = 8

⇒ Breadth = 4 × 8 = 32

∴ The correct answer is 32 cm.

Given:

Adjacent sides = 18 and 10

Angle between sides = 60

Formula Used:

Area = a × b × sinθ

Height = Area ÷ Base

Calculation:

⇒ Area = 18 × 10 × sin60

⇒ Area = 180 × (√3 ÷ 2)

⇒ Area = 90√3

⇒ Height (on longer side 18) = 90√3 ÷ 18

⇒ Height = 5√3

∴ The correct answer is Area = 90√3 and Height = 5√3.

Shortcut Trick

Sum of given ratio parts = 7 + 9 + 13 = 29.

Since each variable (x, y, z) appears twice, x + y + z = 29 ÷ 2 = 14.5.

Value of x = (x + y + z) − (y + z) = 14.5 − 9 = 5.5.

Value of y = (x + y + z) − (z + x) = 14.5 − 13 = 1.5.

Required Ratio x : y = 5.5 : 1.5 = 11 : 3.

∴ The correct answer is 11 : 3.

Alternate Method

Given: (x + y) : (y + z) : (z + x) = 7 : 9 : 13

Formula: If A : B : C = a : b : c, then A = ak, B = bk, C = ck.

⇒ Let x + y = 7k, y + z = 9k, and z + x = 13k

⇒ Adding all three equations: (x + y) + (y + z) + (z + x) = 7k + 9k + 13k

⇒ 2(x + y + z) = 29k

⇒ x + y + z = 14.5k

⇒ x = (x + y + z) − (y + z) = 14.5k − 9k = 5.5k

⇒ y = (x + y + z) − (z + x) = 14.5k − 13k = 1.5k

⇒ x : y = 5.5k : 1.5k = 55 : 15 = 11 : 3

Comparing the calculated result, we find that Option (3) is the correct choice.

∴ The correct answer is 11 : 3.

Additional Information

Properties of Ratio

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

Finding Variables from Pairs

When sums of pairs (x+y, y+z, z+x) are known, the individual variable x can be found using [(x+y) + (z+x) − (y+z)] ÷ 2.

Componendo and Dividendo

If a/b = c/d, then (a+b)/(a−b) = (c+d)/(c−d), which is useful for simplifying complex ratio equations.

Given:

Total numbers = 15

Average of all = 20

Average of first 9 = 18

Average of last 7 = 24

Formula Used:

Sum = Average × Number of terms

Calculation:

⇒ Total sum = 15 × 20 = 300

⇒ Sum of first 9 = 9 × 18 = 162

⇒ Sum of last 7 = 7 × 24 = 168

⇒ Required number = (Sum of first 9 + Sum of last 7) − Total sum

⇒ Required number = 162 + 168 − 300

⇒ Required number = 330 − 300 = 30

∴ The correct answer is 30.

Shortcut Trick

Increase in Interest = ₹1,800 − ₹1,500 = ₹300

Total Increase in Rate over 5 years = 2% × 5 = 10%

This 10% of Principal is equal to the increase in Interest.

10% of Principal = ₹300 ⇒ 100% (Principal) = ₹3,000

∴ The correct answer is ₹3000.

Alternate Method

Given:

Time (T) = 5 years

Initial Interest (I₁) = ₹1,500 at Rate (r%)

New Interest (I₂) = ₹1,800 at Rate (r + 2)%

Formula Used:

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

Calculations:

⇒ Let the Principal be P.

⇒ Case 1: 1500 = (P × r × 5) ÷ 100 --- (i)

⇒ Case 2: 1800 = (P × (r + 2) × 5) ÷ 100 --- (ii)

⇒ Subtracting (i) from (ii):

⇒ 1800 − 1500 = [(P × (r + 2) × 5) ÷ 100] − [(P × r × 5) ÷ 100]

⇒ 300 = (P × 5 ÷ 100) × (r + 2 − r)

⇒ 300 = (5P ÷ 100) × 2

⇒ 300 = 10P ÷ 100

⇒ 300 = P ÷ 10

⇒ P = 300 × 10 = ₹3,000

∴ The correct answer is ₹3000.

Additional Information

Direct Proportionality in Simple Interest

Simple Interest is directly proportional to the Principal, Rate, and Time. If any one factor changes while others are constant, the interest changes by the same ratio.

Change in Interest Formula

ΔSI = (P × ΔR × T) ÷ 100. This formula helps find the Principal when the difference in interest due to a rate change is known.

Relationship of Amount and Interest

Amount = Principal + Simple Interest. An increase in Rate increases the Interest, which in turn increases the final Amount.

Given:

Riya's investment = 60,000

Kabir's investment = 80,000

Total profit = 70,000

Formula Used:

Profit share ratio = Investment of person ÷ Total investment

Profit of person = Profit share ratio × Total profit

Calculation:

⇒ Total investment = Riya's investment + Kabir's investment

⇒ Total investment = 60,000 + 80,000

⇒ Total investment = 140,000

⇒ Kabir's profit share ratio = Kabir's investment ÷ Total investment

⇒ Kabir's profit share ratio = 80,000 ÷ 140,000

⇒ Kabir's profit share ratio = 4 ÷ 7

⇒ Kabir's profit = Kabir's profit share ratio × Total profit

⇒ Kabir's profit = (4 ÷ 7) × 70,000

⇒ Kabir's profit = 40,000

∴ The correct answer is 40,000.

Given:

Outputs = 120, 150, 130, 100

Required average = 130

Total days = 5

Formula Used:

Total sum = Average × Number of terms

Calculation:

⇒ Required total = 130 × 5 = 650

⇒ Sum of first 4 days = 120 + 150 + 130 + 100 = 500

⇒ Required 5^th day output = 650 − 500 = 150

∴ The correct answer is 150.

Given:

Equation = 3x − 2y = 6

Formula Used:

Parallel lines have equal slopes

For ax + by = c, slope = −a ÷ b

Calculation:

⇒ Slope of given line = −3 ÷ (−2) = 3 ÷ 2

⇒ Check option 1: 3x − 2y = 10

⇒ Slope = −3 ÷ (−2) = 3 ÷ 2

⇒ Slopes are equal

∴ The correct answer is 3x − 2y = 10.

Given:

D = 400

C is 25% more than D

A is 100% more than B

A + B is 150% more than C + D

Formula Used:

Increase by x% ⇒ New value = Original × (1 + x ÷ 100)

Calculation:

⇒ C = 400 × (1 + 25 ÷ 100) = 400 × 1.25 = 500

⇒ C + D = 500 + 400 = 900

⇒ A + B = 900 × (1 + 150 ÷ 100) = 900 × 2.5 = 2250

⇒ A = B × (1 + 100 ÷ 100) = 2B

⇒ A + B = 2B + B = 3B

⇒ 3B = 2250

⇒ B = 750

⇒ A = 2 × 750 = 1500

∴ The correct answer is 1500.

Given:

Principal (P) = Rs. 14000

Amount (A) = Rs. 20720

Rate of Interest (R) = 6% per annum

Formula Used:

Simple Interest (SI) = A - P

SI = (P × R × T) ÷ 100

Calculation:

⇒ SI = A - P

⇒ SI = 20720 - 14000

⇒ SI = 6720

Using SI = (P × R × T) ÷ 100

⇒ 6720 = (14000 × 6 × T) ÷ 100

⇒ 6720 × 100 = 14000 × 6 × T

⇒ 672000 = 84000 × T

⇒ T = 672000 ÷ 84000

⇒ T = 8 years

∴ The correct answer is 8 years.

Shortcut Trick

Total work = LCM of 9 and 18 = 18 units.

Efficiency: P = 2 units/day and Q = 1 unit/day.

In 2 days (1 cycle of alternate days), work done = 2 + 1 = 3 units.

Cycles required = 18 ÷ 3 = 6 cycles.

Total time = 6 cycles × 2 days = 12 days.

∴ The correct answer is 12 days.

Alternate Method

Given: Time taken by P = 9 days; Time taken by Q = 18 days.

Formula: Efficiency = Total Work ÷ Time.

⇒ Work done by P on Day 1 = 2 units.

⇒ Work done by Q on Day 2 = 1 unit.

⇒ Total work done in a 2-day cycle = 2 + 1 = 3 units.

⇒ To complete 18 units of work, number of 2-day cycles = 18 ÷ 3 = 6.

⇒ Total duration = 6 × 2 days = 12 days.

∴ The correct answer is 12 days.

Additional Information

Alternate Day Work

When people work on alternate days, calculate the work done in one full cycle before multiplying by the number of cycles needed to reach the total work.

Efficiency Ratio

Efficiency is the reciprocal of the time taken. For P and Q, the ratio of days is 1:2, so their efficiency ratio is 2:1.

Work and Wages

Wages are generally distributed in the ratio of the total work done by each individual (Efficiency × Number of days worked).

The correct answer is Minhaj-us-Siraj.

Key Points

• Minhaj-us-Siraj, a Persian historian and chronicler of the 13^th century, documented the history of the Delhi Sultanate in his famous work, the "Tabaqat-i-Nasiri."
• In his writings, he acknowledged that Raziyya Sultan was more competent and capable than her brothers in handling the affairs of the state.
• Raziyya Sultan, the first and only female ruler of the Delhi Sultanate, was chosen by her father, Iltutmish, as his successor due to her administrative skills and leadership qualities.
• Minhaj-us-Siraj praised her for her intelligence, bravery, and ability to manage state affairs, which made her stand out among her contemporaries.
• This acknowledgment is significant as it highlights the progressive mindset of Iltutmish and the exceptional abilities of Raziyya Sultan during a time when women were rarely seen in leadership roles.

Additional Information

• About Minhaj-us-Siraj:
• Minhaj-us-Siraj was a historian and chronicler in the court of the Delhi Sultanate during the 13^th century.
• His famous work, the "Tabaqat-i-Nasiri," is a comprehensive account of the history of the Islamic world, with a focus on the Delhi Sultanate.
• The text is written in Persian and serves as a valuable source of information about the socio-political and cultural aspects of that time.
• Raziyya Sultan:
• Raziyya Sultan ruled Delhi from 1236 to 1240 after her father, Iltutmish, nominated her as his successor over her brothers.
• She was a skilled administrator and military leader, breaking gender barriers in a predominantly patriarchal society.
• Raziyya adopted the title of "Sultan" instead of the feminine "Sultana," asserting her authority as a ruler.
• Her reign faced resistance from the nobility, who were unwilling to accept a woman as their ruler, leading to internal conflicts and her eventual downfall.
• Other Historians Mentioned:
• Ziauddin Barani: A 14^th-century historian known for his work "Tarikh-i-Firoz Shahi." He primarily documented the reigns of the Tughlaq dynasty but did not focus extensively on Raziyya Sultan.
• Al-Biruni: A Persian scholar and polymath who wrote extensively about India in his work "Kitab al-Hind." He lived before Raziyya Sultan's time and did not document her reign.
• Ibn Battuta: A Moroccan traveler and writer who visited India during the reign of Muhammad bin Tughlaq, much after Raziyya Sultan's period.
• Significance of Raziyya Sultan's Reign:
• Raziyya Sultan's reign remains a remarkable chapter in Indian history as she challenged societal norms and showcased the capabilities of women in leadership.
• Her rule exemplifies the challenges faced by women in power and the biases of the medieval Indian society.
• She left a lasting legacy as the only female ruler of the Delhi Sultanate, inspiring discussions about gender and governance in history.

Important Points

• Challenges Faced by Raziyya Sultan:
• Raziyya faced opposition from the Turkish nobles, or "Chahalgani" (the group of forty elite nobles), who were reluctant to accept her authority as a woman.
• Her decision to appoint an Abyssinian slave, Jamal-ud-Din Yaqut, to a high administrative position further alienated the Turkish nobility.
• She ultimately lost her throne due to internal conspiracies and rebellion led by her brother, Bahram Shah.
• Legacy of Minhaj-us-Siraj:
• Minhaj-us-Siraj's acknowledgment of Raziyya's capabilities provides a rare historical perspective on the role of women in governance during medieval times.
• His works remain an invaluable source for understanding the history of the Delhi Sultanate and the socio-political dynamics of the 13^th century.

The correct answer is Military slaves purchased by the Sultan.

Key Points

• The term 'Bandagan' in Persian refers to military slaves who were purchased by the Sultans of the Delhi Sultanate.
• The Bandagan were often recruited from Central Asia or other foreign regions and served as trusted aides, administrators, and military commanders.
• These slaves were trained in military and administrative skills and were often rewarded with high ranks and positions of power.
• The Bandagan played a crucial role in ensuring the Sultan’s authority over his empire and were instrumental in maintaining a strong central administration.
• Notable examples of Bandagan include Malik Kafur, a prominent military commander under Alauddin Khilji, who was originally a slave.

Additional Information

• Delhi Sultanate:
• The Delhi Sultanate was a Muslim kingdom that ruled over large parts of India from the 13^th to 16^th century.
• It consisted of five dynasties: the Slave Dynasty, Khilji Dynasty, Tughlaq Dynasty, Sayyid Dynasty, and Lodi Dynasty.
• The Sultanate was known for its strong military and administrative system.
• Role of Bandagan:
• The Bandagan were essential in the Sultan’s military campaigns and administrative tasks.
• They acted as governors, military generals, and even advisors to the Sultan.
• They were loyal to the Sultan because their status and power depended on his favor.
• Notable Bandagan Figures:
• Malik Kafur: A military commander under Alauddin Khilji who led several successful campaigns in southern India.
• Ghiyasuddin Tughlaq: Originally a slave who rose to become the founder of the Tughlaq Dynasty.
• Slavery in the Delhi Sultanate:
• Slavery was an institutionalized practice, and slaves were often brought from foreign regions like Central Asia.
• Slaves were trained and educated to serve in administrative or military roles.
• The Sultan relied heavily on slaves for loyalty and efficiency in governance.

Important Points

• Military Slaves: The concept of military slaves was not unique to the Delhi Sultanate; similar practices existed in other medieval Islamic states, including the Mamluk Sultanate in Egypt.
• Hierarchy: Despite being slaves initially, many Bandagan rose to powerful positions, influencing the Sultanate’s policies and governance.
• Cultural Impact: The Bandagan were instrumental in spreading Persian culture and administrative practices throughout India.
• Challenges: Over time, the loyalty of some Bandagan diminished, leading to internal conflicts and power struggles within the Sultanate.

The correct answer is Article 214.

Key Points

• Article 214 of the Indian Constitution states that "There shall be a High Court for each State."
• The article ensures the establishment of a High Court as the highest judicial authority at the state level, responsible for administering justice within its territorial jurisdiction.
• It provides the framework for the existence of a High Court in each state, although Parliament has the power to establish a common High Court for two or more states as per Article 231.
• High Courts in India have jurisdiction over matters such as civil, criminal, constitutional, and administrative law, among others, within their respective states.
• Each High Court is headed by a Chief Justice, and its composition and appointment procedures are governed by the Constitution of India.

Additional Information

• Article 124:
• This article deals with the establishment and composition of the Supreme Court of India.
• The Supreme Court is the apex judicial body in India, and its primary role is to act as a guardian of the Constitution.
• It comprises the Chief Justice of India (CJI) and other judges as determined by Parliament.
• Article 226:
• Under this article, High Courts have the power to issue writs (such as habeas corpus, mandamus, prohibition, quo warranto, and certiorari) for the enforcement of fundamental rights and for any other purpose.
• This article empowers High Courts to ensure that the rule of law is upheld within their respective jurisdictions.
• Article 32:
• This article provides the right to constitutional remedies, allowing individuals to directly approach the Supreme Court for the enforcement of fundamental rights.
• It is often referred to as the "heart and soul" of the Indian Constitution, as described by Dr. B.R. Ambedkar.
• High Courts in India:
• The Calcutta High Court, established in 1862, is the oldest High Court in India.
• As of 2023, there are 25 High Courts in India, including common High Courts for some states and union territories.
• For example, the High Court of Punjab and Haryana is a common High Court for these two states and the union territory of Chandigarh.

Important Points

• Role of High Courts:
• High Courts are responsible for overseeing subordinate courts, including district courts, within their jurisdiction.
• They also have the authority to hear appeals from lower courts and provide remedies for violations of legal and constitutional rights.
• Appointment of Judges:
• Judges of the High Courts are appointed by the President of India in consultation with the Chief Justice of India, the Governor of the respective state, and sometimes other judges of the High Court.
• The qualifications for appointment include being a citizen of India and having at least 10 years of experience as an advocate or a judicial officer.
• Jurisdiction of High Courts:
• They have original jurisdiction in matters like fundamental rights and election disputes.
• They also have appellate jurisdiction over civil and criminal cases decided by subordinate courts.
• Significance of Article 214:
• This article ensures the decentralized administration of justice by establishing High Courts in states, making access to justice more efficient and localized.

The correct answer is 2023.

Key Points

• The National Defence Academy (NDA) is one of India's premier institutions for training cadets for the Indian Armed Forces, including the Army, Navy, and Air Force.
• In a historic milestone, the first batch of female cadets was admitted to the NDA in 2022 following a landmark Supreme Court directive in 2021, allowing women to sit for the NDA entrance exam.
• The female cadets underwent rigorous training alongside their male counterparts, marking a significant step toward gender inclusivity in the Indian Armed Forces.
• The first-ever batch of female cadets graduated in 2023, signifying the successful culmination of their training and their readiness to serve in the armed forces.
• This historic event underscores the Indian Armed Forces' commitment to gender equality and inclusivity, paving the way for more women to join defense services in leadership roles.

Additional Information

• Supreme Court Directive:
• In August 2021, the Supreme Court of India directed the government to allow women to appear for the NDA entrance exam, ensuring gender equality in defense services.
• The decision was a landmark moment in Indian military history, as it opened doors for women to pursue careers in defense through the prestigious NDA.
• Training at NDA:
• The NDA provides rigorous training in academics, physical fitness, and military tactics to prepare cadets for leadership roles in the armed forces.
• The inclusion of female cadets in this training program ensures equitable opportunities for women in defense.
• Women in Indian Armed Forces:
• Women have been serving in various capacities in the Indian Armed Forces for decades, primarily in non-combat roles.
• Recent reforms have paved the way for women to take up combat roles and leadership positions, furthering gender inclusivity in the military.
• Impact of the First Female Batch:
• The graduation of the first female batch in 2023 serves as an inspiration for young women aspiring to join the armed forces.
• It also highlights the evolving policies of the Indian military to embrace diversity and equality.

Important Points

• Eligibility for NDA Entrance:
• Applicants must meet specific age, educational, and physical fitness criteria to qualify for the NDA entrance exam.
• Women candidates were first allowed to appear for the NDA entrance exam in 2021 following the Supreme Court's directive.
• Other Training Academies:
• In addition to the NDA, women can join the Indian Armed Forces through other academies like the Officers Training Academy (OTA) and the Indian Military Academy (IMA).
• The inclusion of women in the NDA sets a precedent for similar reforms in other defense training institutions.

The correct answer is 5.61 Lakh.

Key Points

• As of December 2024, there are over 5.61 Lakh Open Defecation Free (ODF) Plus Villages in India under the Swachh Bharat Mission (SBM) Grameen Phase-II.
• The Swachh Bharat Mission (SBM), launched in 2014, aims to eliminate open defecation and improve solid and liquid waste management across rural and urban areas of India.
• The ODF Plus status is awarded to villages that have sustained their ODF status and have made progress in solid and liquid waste management (SLWM).
• Under ODF Plus, villages are categorized as ODF Plus Aspiring, ODF Plus Rising, and ODF Plus Model, depending on their progress in achieving sanitation and waste management goals.
• The achievement of 5.61 Lakh ODF Plus villages is a significant milestone in enhancing rural sanitation and hygiene, contributing to the vision of a clean and healthy India.

Additional Information

• Swachh Bharat Mission Grameen (SBM-G) Phase-II:
• SBM-G Phase-II was launched in 2020 with an emphasis on the sustainability of ODF villages and effective management of solid and liquid waste.
• The focus areas include construction of soak pits, community composting, plastic waste management, and greywater management.
• The scheme aims to cover all villages by 2024 to achieve comprehensive sanitation and hygiene.
• Criteria for ODF Plus Villages:
• A village is considered ODF Plus if it maintains ODF sustainability and demonstrates progress in solid and liquid waste management.
• Villages are assessed on parameters such as toilet usage, cleanliness of surroundings, and waste management practices.
• Government Initiatives:
• Various initiatives like Swachh Survekshan Grameen and Incentive Grants have been introduced to encourage villages to achieve ODF Plus status.
• Training and awareness programs are conducted to educate villagers about the importance of cleanliness and waste management.
• Impact of ODF Plus Villages:
• Improved sanitation leads to better health outcomes, reducing the prevalence of diseases like diarrhea and cholera.
• Proper waste management contributes to a cleaner environment, promoting sustainability and enhancing the quality of life in rural areas.

Important Points

• Swachh Bharat Mission (SBM):
• Launched on October 2, 2014, by PM Narendra Modi, the SBM is a flagship program aimed at achieving a Clean India by eliminating open defecation and improving waste management.
• The mission has two components: SBM-Gramin (for rural areas) and SBM-Urban (for urban areas).
• Achievements under SBM:
• As of 2023, over 11 crore toilets have been constructed in rural areas, and India has achieved ODF status.
• The success of SBM has been recognized globally, with several countries adopting similar models for improving sanitation.

The correct answer is Both I and II.

Key Points

• e-Shram registration:
• The Union Budget 2025 announced measures for Gig Workers to ensure their inclusion in formal workforce systems.
• The initiative includes mandatory registration of Gig Workers on the e-Shram portal, a centralized database launched by the Ministry of Labour and Employment.
• The e-Shram portal aims to provide a platform for unorganized workers, including gig and platform workers, to avail social security benefits.
• This registration ensures that workers are eligible for government welfare schemes and facilitates data-driven policymaking for the gig economy. Hence, statement I is correct.
• Healthcare security under PM Jan Arogya Yojana:
• The 2025 budget proposes to extend healthcare benefits under the Ayushman Bharat - Pradhan Mantri Jan Arogya Yojana (PMJAY) to gig and platform workers.
• PMJAY provides health insurance coverage of up to ₹5 lakh per family per year for secondary and tertiary healthcare.
• This move ensures access to affordable healthcare for gig workers, who are often excluded from traditional employer-provided health benefits.
• With this inclusion, gig workers can avail themselves of cashless treatment at empanelled hospitals across India. Hence, statement II is correct.
• Significance:
• The combination of e-Shram registration and healthcare security is a step towards formalizing the unorganized gig economy.
• These measures reflect the government's commitment to providing a social safety net for this rapidly growing segment of workers.

Additional Information

• e-Shram Portal:
• Launched in August 2021 by the Ministry of Labour and Employment.
• It aims to create a national database of unorganized workers, including gig and platform workers.
• Workers who register on the portal receive a Universal Account Number (UAN) and are eligible for various welfare schemes.
• As of 2025, over 28 crore unorganized workers have registered on the portal.
• Ayushman Bharat - Pradhan Mantri Jan Arogya Yojana (PMJAY):
• Launched on September 23, 2018, under the Ministry of Health and Family Welfare.
• Provides health insurance coverage of ₹5 lakh per family annually for poor and vulnerable populations.
• Covers over 10.74 crore families (approximately 50 crore beneficiaries).
• Empanelled hospitals include both public and private healthcare facilities.
• Gig Economy in India:
• Gig workers are individuals engaged in temporary, flexible jobs, often facilitated by digital platforms such as food delivery apps, ride-hailing services, and freelance marketplaces.
• India has an estimated 7.7 million gig workers as of 2022, projected to grow to 23.5 million by 2030.
• The gig economy contributes significantly to India's employment generation and economic growth.
• Social Security Code, 2020:
• This legislation includes provisions for extending social security benefits to gig and platform workers.
• It mandates the creation of a welfare fund for gig workers, financed through contributions from aggregators and the government.

Important Points

• Challenges faced by gig workers:
• Gig workers often lack access to social security benefits, including pensions, health insurance, and paid leave.
• They face income instability and are not covered under traditional labor laws that protect full-time employees.
• Policy initiatives for gig workers:
• The 2025 budget initiatives aim to address these challenges through e-Shram registration and healthcare inclusion under PMJAY.
• These efforts are part of a broader push towards formalizing the unorganized sector and ensuring inclusive growth.

The correct answer is Agriculture.

Key Points

• MOVCDNER stands for Mission Organic Value Chain Development for North Eastern Region. It is an initiative launched by the Ministry of Agriculture and Farmers Welfare, Government of India.
• The program aims to promote organic farming and develop certified organic value chains in the North Eastern Region of India comprising eight states: Arunachal Pradesh, Assam, Manipur, Meghalaya, Mizoram, Nagaland, Sikkim, and Tripura.
• MOVCDNER provides support for the entire value chain including production, certification, processing, and marketing of organic produce, ensuring farmers’ access to premium markets.
• The scheme emphasizes the cultivation of high-value crops such as spices, fruits, and vegetables, which are native to the North Eastern region and have significant export potential.
• It is aligned with the goal of fostering sustainable agriculture and leveraging the region’s unique biodiversity to create economic opportunities for farmers.
• MOVCDNER is implemented through clusters or Farmer Producer Organizations (FPOs) to ensure better coordination, training, and financial assistance to farmers.

Additional Information

• Organic Farming in India:
• Organic farming is a method of farming that avoids the use of synthetic fertilizers, pesticides, and genetically modified organisms, focusing on sustainable agricultural practices.
• India is home to one of the largest numbers of organic producers globally, with states like Sikkim achieving the status of being a fully organic state.
• Organic farming promotes soil health, biodiversity conservation, and reduction in environmental pollution.
• Features of MOVCDNER:
• The scheme provides financial assistance for activities such as organic certification, market linkages, packaging, branding, and infrastructure development.
• Farmers under the program receive training in organic farming techniques and are supported with inputs like bio-fertilizers and bio-pesticides.
• The program encourages the formation of Farmer Producer Organizations (FPOs) to enhance collective bargaining and reduce transaction costs.
• The focus is on export-oriented products such as black pepper, turmeric, ginger, and large cardamom, which have high demand in international markets.
• Government Initiatives in Agriculture:
• Paramparagat Krishi Vikas Yojana (PKVY): A scheme promoting traditional organic farming methods, introduced in 2015.
• National Agriculture Market (eNAM): An online platform launched to enable farmers to sell their produce directly in transparent and competitive markets.
• Pradhan Mantri Fasal Bima Yojana: A crop insurance scheme protecting farmers against crop loss due to natural disasters.
• Challenges in Organic Farming:
• High initial costs for organic inputs and certification.
• Limited awareness among farmers regarding organic farming practices.
• Inadequate market infrastructure for organic produce.
• Difficulty in meeting international organic standards for export purposes.

Important Points

• Sikkim: Became the first fully organic state in the world in 2016, showcasing the potential of organic farming in India.
• Export Potential: Organic products from India are exported to countries like USA, Germany, France, and Switzerland, highlighting the global demand for such produce.
• Cluster-Based Approach: MOVCDNER focuses on cluster formation to achieve economies of scale and better resource management.
• North Eastern Region: Known for its rich biodiversity, unique agro-climatic conditions, and indigenous crop varieties, making it ideal for organic farming.
• Certification: Organic certification is mandatory for farmers under MOVCDNER to ensure credibility and market acceptance of their produce.

The correct answer is Switzerland.

Key Points

• Switzerland has consistently ranked at the top in the Environmental Performance Index (EPI) due to its excellent environmental policies and practices.
• In the 2024 EPI, Switzerland maintained its position as a global leader due to its strong performance in categories such as air quality, biodiversity, and sustainable energy practices.
• The EPI is a data-driven index that evaluates the environmental performance of countries based on key indicators like climate change mitigation, air quality, water resources, and ecosystem vitality.
• Switzerland has implemented robust frameworks for tackling climate change, reducing carbon emissions, and promoting renewable energy sources, which played a crucial role in its ranking.
• Other notable factors include its focus on waste management, eco-friendly transportation systems, and conservation of natural habitats.

Additional Information

• Environmental Performance Index (EPI):
• The EPI is a biennial report jointly prepared by Yale University and Columbia University in collaboration with the World Economic Forum.
• It evaluates countries on various indicators such as climate policy, air and water quality, biodiversity, and ecosystem vitality.
• The EPI aims to provide a comprehensive understanding of how nations are addressing pressing environmental challenges.
• Switzerland’s Environmental Policies:
• Switzerland has a long tradition of environmental conservation and has enacted stringent laws to reduce air pollution and greenhouse gas emissions.
• It promotes the use of renewable energy sources such as hydropower, solar, and wind energy.
• The country prioritizes biodiversity conservation through effective management of forests, wetlands, and protected areas.
• Comparison with Other Countries:
• Germany: While Germany performs well in areas like renewable energy and waste management, it lags behind Switzerland in air quality and ecosystem vitality.
• Norway: Norway is a leader in climate action and renewable energy but faces challenges in biodiversity conservation compared to Switzerland.
• Estonia: Estonia shows strong results in forest management but does not match Switzerland's overall performance on a broader environmental scale.
• Global Importance of EPI Rankings:
• The EPI serves as a critical tool for policymakers to understand where their countries stand and improve environmental policies.
• It also helps in tracking progress toward international commitments, such as the Paris Climate Agreement and the UN Sustainable Development Goals (SDGs).

Important Points

• Switzerland’s Unique Measures:
• It has implemented carbon pricing mechanisms to reduce emissions efficiently.
• The country encourages citizens to adopt sustainable lifestyles through financial incentives and awareness campaigns.
• Switzerland also ranks high in international cooperation on environmental issues, setting an example for other nations.
• Significance of Leading in EPI:
• Being at the top of the EPI demonstrates a nation’s commitment to sustainability and its ability to balance economic growth with environmental conservation.
• It reflects the success of Switzerland’s integrated approach to tackling complex environmental challenges.

The correct answer is 113.4 million.

Key Points

• The Report of the Technical Group on Population Projections (July 2020), published by the National Commission on Population under the Ministry of Health and Family Welfare, estimates that India's elderly population (aged 60 years and above) will reach 113.4 million by 2031.
• This projection highlights a significant increase compared to the elderly population of approximately 104 million in 2021, indicating the growing demographic trend of aging in India.
• India's elderly population is expected to constitute around 8.9% of the total population by 2031, showcasing the need for enhanced policies related to healthcare, social security, and financial assistance.
• The increase in the elderly population is attributed to factors such as improved life expectancy, advances in healthcare, and declining fertility rates.
• This demographic shift necessitates strategies to address challenges like elderly care, age-related health issues, and ensuring the financial independence of older individuals.

Additional Information

• India's Population Trends:
• India is the second-most populous country globally, with its population expected to peak around 1.65 billion by 2050.
• Population aging has accelerated due to the falling fertility rate, which reached 2.0 in 2019, below the replacement level of 2.1.
• The aging trend necessitates reforms in pension systems, healthcare infrastructure, and age-friendly urban planning.
• Challenges Faced by Elderly Population:
• Economic dependency is a major concern, with many elderly individuals relying on family support due to the lack of adequate social security systems.
• There is a rising prevalence of non-communicable diseases (NCDs) such as diabetes, hypertension, and arthritis among older adults.
• Access to healthcare facilities, particularly in rural areas, remains limited for the elderly, necessitating targeted interventions.
• Government Initiatives for Elderly Welfare:
• The National Programme for Health Care of the Elderly (NPHCE) was launched to provide dedicated healthcare services to senior citizens.
• Indira Gandhi National Old Age Pension Scheme (IGNOAPS) provides financial assistance to elderly individuals living below the poverty line.
• The Maintenance and Welfare of Parents and Senior Citizens Act, 2007 ensures legal provisions for elderly care and protection.
• Global Aging Trends:
• Globally, the population aged 60 years and above is projected to double by 2050, reaching over 2 billion.
• Countries like Japan and Italy already have a significant proportion of elderly individuals, necessitating advanced policies for managing aging populations.
• India's aging population, though smaller in percentage compared to developed nations, is significant in absolute numbers due to its large population size.

Important Points

• Life Expectancy: India's average life expectancy has increased to approximately 69.7 years (2020), contributing to the growth of the elderly population.
• State-Wise Elderly Population: States like Kerala and Tamil Nadu have higher proportions of elderly individuals due to lower fertility rates and better healthcare facilities.
• Urban vs. Rural Distribution: Approximately 73% of India’s elderly population resides in rural areas, highlighting the need for rural-specific elder care policies.
• Social Security: The Atal Pension Yojana is one example of a government initiative to provide financial security to aging individuals.
• Demographic Dividend: While India currently benefits from a demographic dividend, the aging population will pose challenges to economic growth in the coming decades.