The correct answer is Option 2)

Key Points

• In the segment at the gate no. 6, the usage of "no." is incorrect.
• The correct term should be "gate number 6" instead of "gate no. 6".(गेट नंबर 6)
• The abbreviation "no." is not suitable for formal or written context when specifying gate numbers in locations such as airports.
• Therefore, instead of "at the gate no. 6," the correct phrase should be "at gate number 6."

Correct sentence: My students are waiting for their flights at gate number 6.

Additional Information

• Waiting for (इंतजार कर रहे): Proper usage with no errors.
• Example: She is waiting for the bus.
• My students are (मेरे छात्र हैं): Proper usage with no errors.
• Example: My students are very diligent.
• Their flights (उनकी उड़ानें): Proper usage with no errors.
• Example: Their flights were delayed.

The correct answer is Option 4)

Key Points

• In the fourth part of the given sentence, the preposition 'of' is incorrect.
• In the given sentence, the correct preposition should be 'to' instead of 'of'.
• The correct phrase is 'obliged to my friend' rather than 'obliged of my friend'.
• Therefore, the correct sentence should be 'I am very much obliged to my friend for the help he rendered to me.'.

Hence, the correct statement is: I am very much obliged to my friend for the help he rendered to me.

The correct answer is Option 1)

Key Points

• In the given sentence, the phrase 'will being' is incorrect.
• The correct phrase should be 'will be studying' to indicate a future continuous action.
• The structure for future continuous tense is 'will be' + present participle (verb+ing).
• Example: She will be studying for her exams tomorrow.
• Therefore, the correct phrase should be 'will be studying' instead of 'will being'.

Hence, the correct statement is: She will be studying for her exams tomorrow.

Additional Information

• The future continuous tense is used to describe actions that will be happening at a specific time in the future.
• Example: At this time next week, I will be traveling to Paris.
• It is formed using the auxiliary verb 'will' followed by 'be' and the present participle form of the main verb.

The correct answer is Option 4)

Key Points

• In the fourth part of the given sentence, the verb form 'will praying' is incorrect.
• In the given sentence, the correct form should be 'will be praying' to indicate future continuous tense.
• The future continuous tense is used to describe actions that will be happening at a specific moment in the future.
• Example: She will be traveling to London next week.
• Therefore, the correct form is 'will be praying'.

Hence, the correct sentence is: I am sure that he will be praying for a good crop this year.

Additional Information

• The future continuous tense is used to indicate that an action will be in progress at a specific time in the future.
• Example: At this time tomorrow, I will be working on my project.
• It is formed using the structure: will be + present participle (verb + ing).
• Example: They will be attending the meeting next week.

The correct answer is Option 1)

 

Key Points

• The passage discusses the process of a substance integrating into a solvent to form a solution.
• The appropriate verb should indicate the action of a substance being incorporated into a liquid.
• "Dissolve" fits well as it denotes the process of a solid becoming incorporated into a liquid to form a solution.
• Other options ("evaporate", "melt", "diffuse") do not fit the context of describing the integration of a substance into a solvent.

The correct sentence from the passage is **"Oil is almost certainly one of the ocean's greatest resources. 33% of the world's oil comes from seaward fields in seas. Oils are liquids that easily burn and do not dissolve in water."

Additional Information

• Evaporate (वाष्पित होना): "Evaporate" means to turn from liquid into vapor, which does not fit the context of dissolving a solid in a liquid.
• Melt (पिघलना): "Melt" means to make or become liquefied by heat, which does not reflect the process of forming a solution.
• Diffuse (फैलना): "Diffuse" means to spread over a wide area, which does not align with the idea of a solid integrating into a liquid.

The correct answer is Option 3)

 

Key Points

• The passage discusses the dangers and consequences associated with forest fires.
• The appropriate adjective should indicate something fundamental or principal in the context of forest fires.
• "Primary" fits well as it denotes something of chief importance, which aligns with the context of forest fires being a major concern.
• Other options ("early", "initial", "original") do not fit the context of describing the main impact of forest fires on forests and biodiversity.
• The correct word for fill in the blanks no. 2 is 'primary.'

Therefore, the correct statement from the passage is **"There are three primary types of oils: mineral, essential and fixed oils. From plants, essential oils are thin, scented oils."

Additional Information

• Early: "Early" suggests something happening near the beginning of a particular time period, which does not fit the context.
• Initial: "Initial" means existing or occurring at the beginning, which does not reflect the main impact of forest fires.
• Original: "Original" means existing from the beginning, which does not align with describing the primary impact of forest fires.

The correct answer is Option 4)

 

Key Points

• The passage discusses the usage of resources in a specific context.
• The appropriate verb should indicate the application or employment of resources effectively.
• "Utilized" fits well as it denotes the act of making practical and effective use of something, which aligns with the context of resource management.
• Other options ("operated", "employed", "applied") do not fit the context as precisely as "utilized".

The correct word for fill in the blanks no. 3 is " Because they frequently have an odour, essential oils are  utilized  in perfumery and food flavouring.."

Additional Information

• Operated (संचालित): "Operated" means to control the functioning of a machine, process, or system, which does not fit the context of resource management.
• Employed (नियोजित): "Employed" means to make use of someone or something for a particular purpose, which is close but not as accurate as "utilised".
• Applied (लागू किया गया): "Applied" means to put to practical use, which is not as fitting as "utilised" in this context.

The correct answer is Option 3)

 

Key Points

• The passage discusses the process of creating or generating something.
• The appropriate verb should indicate an action of bringing something into existence.
• "Produced" fits well as it denotes the creation or manufacturing of something, aligning with the context.
• Other options ("fabricated", "renewed", "invented") do not fit the context of describing the process of creation or generation.
• The correct word for fill in the blanks no. 4 is 'produced.'

Therefore, the correct statement from the passage is " Mineral oils are produced from petroleum which has been underground for millions of years from sea organism skeletons. ."

Additional Information

• Fabricated (निर्मित): "Fabricated" means to make or construct, often implying falsehood, which does not fit well in the context of creating something naturally occurring.
• Renewed (नवीनीकृत): "Renewed" means to make something new again, which does not reflect the initial creation or production process.
• Invented (आविष्कृत): "Invented" means to create something new that did not exist before, which is more suited to novel creations rather than general production.

The correct answer is Option 4)

 

Key Points

• The context of the sentence requires a noun that indicates a mixture or joining of elements.
• The word "combination" fits well as it denotes a joining or merging of different elements.
• "Combination" aligns with the context as it suggests a union of parts, which is appropriate for the given scenario.
• Other options ("association", "collaboration", "cooperation") do not fit as precisely within the context.
• The correct word for fill in the blanks no. 5 is 'combination.'.

Therefore the correct statement from the passage is **"They are made up of a combination of hydrocarbons."

Additional Information

• Association (संगठन): "Association" refers to a group of people organized for a joint purpose, which does not fit the context of discussing forest fire hazards.
• Collaboration (सहयोग): "Collaboration" means working together to achieve a common goal, which does not reflect the idea of a mixture or joining.
• Cooperation (सहयोग): "Cooperation" means working together towards a common end, which does not align with the idea of a combination of elements.

The correct answer is Option 1)

Key Points

• In the second part of the given sentence, the singular form of the verb 'isn’t it' is incorrect.
• In the given sentence, the correct phrase should be "doesn’t it" to match the auxiliary verb form.
• Therefore, the correct form of the verb 'doesn’t it' should be used in place of the incorrect form 'isn’t it'.

Hence, the correct sentence is: If you are thinking about investing in share markets, doesn’t it make sense to find an expert?.

Additional Information

• If the sentence structure is a question and involves an auxiliary verb, use the correct form of the auxiliary verb to match the subject.
• Example: It makes sense to find an expert, doesn’t it?
• If the sentence structure is a statement and involves an auxiliary verb, use the correct form of the auxiliary verb to match the subject.
• Example: It makes sense to find an expert, does it?

The correct answer is: Option 1.

Key Points

• The word "Advertisment" is incorrectly spelt. The correct spelling is "Advertisement". (विज्ञापन)
• Example: The company launched a new advertisement campaign last week.

Therefore, the correct spelling is: "Advertisement"

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

• Adulterous (व्यभिचारी): Refers to having a sexual relationship outside of marriage.
• Example: He was accused of having an adulterous affair.
• Astounding (आश्चर्यजनक): Means surprisingly impressive or notable.
• Example: The magician's performance was absolutely astounding.
• Amendment (संशोधन): Means a minor change or addition designed to improve a text, piece of legislation, etc.
• Example: The amendment to the law was passed unanimously.

The correct answer is Option 2)

Key Points

• In the given sentence, the phrase 'Applications are to be sent' is correctly structured.
• The sentence uses the correct passive voice construction to indicate that the applications need to be sent to the specified email address.
• The phrase 'before 30th June' correctly specifies the deadline for sending the applications.
• Therefore, there is no need for substitution in the given sentence.

Hence, the correct statement is: Applications are to be sent to the school’s e-mail ID before 30th June.

<br>

Additional Information

• When using passive voice to indicate an action that needs to be completed by a certain deadline, the structure 'are to be sent' is appropriate.
• This structure clearly communicates the requirement and the deadline without ambiguity.

The correct answer is Option 3)

Key Points

• The word "Merit" means the quality of being particularly good or worthy, especially so as to deserve praise or reward. (योग्यता)
• Example: She was promoted based on merit, not favoritism.
• "Fault" refers to an imperfection or weakness, especially one that detracts from the whole or hinders effectiveness. (दोष)
• Example: Despite his faults, he is a reliable friend.

Hence, we can infer that the opposite of 'merit' is 'fault'.

Additional Information

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

• Tumult (कोलाहल): A loud, confused noise, especially one caused by a large mass of people.
• Example: The tumult in the stadium was deafening after the winning goal.
• Result (परिणाम ): A consequence, effect, or outcome of something.
• Example: The result of the experiment was surprising.
• Occult (गुप्त): Relating to magical powers and activities, such as those of witchcraft and astrology.
• Example: She had a fascination with the occult and often read books on witchcraft.

The correct answer is Option 4)

Key Points

• The word "contant" is misspelled.
• English Meaning: This is not a valid English word.
• Hindi Meaning: यह एक मान्य अंग्रेजी शब्द नहीं है।
• The correct word is "content".
• English Meaning: In a state of peaceful happiness. (संतुष्ट)
• Hindi Meaning: संतुष्ट
• Example: She is content with her life and work.

Therefore, the correct answer is: Option 4.

Additional Information

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

• Contint (कॉन्टिन्ट): This is a misspelling and not a valid English word.
• Example: This is not a valid English word, so no example can be provided.
• Contante (कॉन्टेंट): This is a misspelling and not a valid English word.
• Example: This is not a valid English word, so no example can be provided.
• Cuntent (कंटेंट): This is a misspelling and not a valid English word.
• Example: This is not a valid English word, so no example can be provided.

The correct answer is Option 4)

Key Points

• The given sentence describes an action performed by a sailor.
• The word that fits correctly in the context of the sentence is 'sailing'.
• The other options 'swelling', 'selling', and 'ceiling' do not fit the context of the sentence.

Hence, the correct statement is: A sailor was sailing through the high tides.

<br>

Additional Information

• The word 'sailing' is a present participle form of the verb 'sail' which means to travel on water in a boat or ship.
• The verb 'swelling' means to become larger or rounder in size, typically as a result of an accumulation of fluid.
• The verb 'selling' means to exchange a commodity for money.
• The noun 'ceiling' refers to the upper interior surface of a room.

The correct answer is Option 2)

Key Points

• The word "lawful" means something that is permitted by law; legal or legitimate. (कानूनी)
• Example: The company ensures that all its operations are lawful and transparent.
• "Illicit" refers to something that is forbidden by law, rules, or custom; illegal. (गैरकानूनी)
• Example: The police cracked down on the illicit trade of endangered species.

Hence, we can infer that the opposite of 'lawful' is 'illicit'.

Additional Information

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

• Sophisticated (परिष्कृत): Having a refined knowledge of the world or culture.
• Example: She has a sophisticated taste in art and music.
• Legitimate (वैध): Conforming to the law or to rules.
• Example: The company has a legitimate claim to the property.
• Legal (कानूनी): Relating to the law.
• Example: He sought legal advice before signing the contract.

The correct answer is Option 3)

Key Points

• The phrase "a round of applause" is a common expression used to describe the act of clapping hands in appreciation or approval.
• The other options ("yell", "load", "laugh") do not fit the context of giving applause.
• A "round" in this context refers to a burst or session of applause, making it the most appropriate choice.

Hence, the correct statement is: The crowd gave them a round of applause.

Additional Information

• In English, certain expressions are fixed and commonly used in specific contexts. "A round of applause" is one such fixed expression.
• Understanding common expressions and idioms is crucial for mastering the nuances of the language.

The correct answer is Option 4)

Key Points

• The word "Important" means something that is of great significance or value. (महत्वपूर्ण)
• Example: Attending the meeting is important for understanding the project's progress.
• "Trivial" refers to something that is of little value or importance. (तुच्छ)
• Example: He often spends time on trivial details rather than focusing on the main issue.

Hence, we can infer that the opposite of 'Important' is 'Trivial'.

Additional Information

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

• Productive (उत्पादक): Yielding good results or benefits.
• Example: The productive meeting resulted in several new initiatives.
• Significant (महत्वपूर्ण): Sufficiently great or important to be worthy of attention.
• Example: Her significant contributions to the project were recognized by the team.
• Recurring (बार-बार होने वाला): Occurring repeatedly or periodically.
• Example: The recurring issues with the software need to be addressed immediately.

The correct answer is Option 3)

Key Points

• The idiom "red-letter day" means a day that is pleasantly noteworthy or memorable. (स्मरणीय दिन)
• Example: Graduation day is a red-letter day in every student's life.
• "Memorable day" refers to a day that is worth remembering because it is special or significant. (यादगार दिन)
• Example: The day I got my first job is a memorable day for me.

Therefore, the correct answer is: Memorable day.

Additional Information

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

• Uneventful day (अघटनापूर्ण दिन): A day when nothing significant or exciting happens.
• Example: Yesterday was quite an uneventful day; I just stayed home and watched TV.
• Unimportant day (महत्वहीन दिन): A day that does not have any significant importance or relevance.
• Example: It was just another unimportant day in my routine.
• Regular day (साधारण दिन): A day that is typical or routine with no special events.
• Example: It was a regular day at the office with the usual tasks and meetings.

The correct answer is Option 2)

Key Points

• The word "bear" is a homophone that means to endure or tolerate.
• The other options are incorrect as they do not fit the context of the sentence:
• "bier" refers to a frame or stand on which a corpse or coffin is placed.
• "beer" is an alcoholic beverage.
• "bare" means to be uncovered or exposed.
• Therefore, the correct homophone to fill in the blank is "bear".

Hence, the correct statement is: Namita still cannot bear the pain of her cat’s untimely demise.

<br>

Additional Information

• Homophones are words that sound the same but have different meanings and spellings.
• Example: "Write" and "Right" are homophones.

The correct answer is Option 3)

Key Points

• In the second part of the given sentence, the singular form of the verb 'look' is incorrect.
• In the given sentence, the subject 'The painting' is singular and therefore requires a singular verb.
• Therefore, the singular form of the verb 'looks' should be used in place of the plural form 'look'.

Hence, the correct statement is: The painting looks good in this room.

Additional Information

• When the subject of a sentence is singular, the verb must also be singular to maintain subject-verb agreement.
• Example: The cat sits on the mat.
• When the subject of a sentence is plural, the verb must also be plural to maintain subject-verb agreement.
• Example: The cats sit on the mat.

The correct answer is Option 2)

Key Points

• The word "which" is used to introduce a clause giving further information about something mentioned. (जो)
• Example: The book, which I bought yesterday, is already proving to be interesting.
• "was" is the past tense of "is," and is used with singular nouns. (था/थी/थे)
• Example: She was happy with her exam results.
• In the given sentence, since "river" is a singular noun, the correct verb form "was" should be used.
• Therefore, the correct answer is: which was always silently rolling.

Therefore, the correct statement is "He lived on the bank of a mighty river, broad and deep, which was always silently rolling on to a vast undiscovered ocean."

Additional Information

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

• that were always silently rolling (जो हमेशा चुपचाप लुढ़क रहे थे): Incorrect as "that" and "were" do not match the singular noun "river."
• Example: The cars that were parked outside belonged to the guests.
• what has always silently rolling (क्या हमेशा चुपचाप लुढ़क रहा है): Incorrect as "what has" does not fit grammatically.
• Example: What has been troubling you?
• which were always silently rolling (जो हमेशा चुपचाप लुढ़कते रहते थे): Incorrect as "were" does not match the singular noun "river."
• Example: The documents which were left on the table were classified.

The correct answer is Option 1)

Key Points

• The idiom "like two peas in a pod" means:
• Very similar to each other (बहुत समान होना)
• Example: Sarah and her twin sister are like two peas in a pod; they have the same tastes and interests.
• Very similar to each other refers to two people or things that are almost identical in appearance, behavior, or characteristics. (बहुत समान होना)
• Example: The two brothers are very similar to each other in their mannerisms and looks.

Therefore, the correct answer is: Option 1 i.e. Very similar to each other.

Additional Information

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

• Happy and compassionate (खुश और दयालु): Feeling or showing pleasure or contentment and having a strong feeling of sympathy and sadness for the suffering or bad luck of others and wanting to help them.
• Example: She is always happy and compassionate towards the needy.
• Smart and intelligent (चतुर और बुद्धिमान): Having or showing a quick-witted intelligence.
• Example: He is very smart and intelligent, always coming up with innovative solutions.
• Good in every way (हर तरीके से अच्छा): Being excellent or satisfactory in all aspects.
• Example: The new employee is good in every way and fits well with our team.

The correct answer is Option 3)

Key Points

• The word "knot" means an interlacing, looping, or fastening together of material, typically rope or string. (गांठ)
• Example: He tied a knot in the rope to secure the boat.
• "Knot" refers to a complication or problem that can cause inconvenience or trouble. (गांठ)
• Example: The knot in my shoelace created a lot of trouble.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Not (नहीं): Used to express negation, denial, or refusal.
• Example: I do not like apples.
• Naught (शून्य): Nothing or zero.
• Example: All his efforts came to naught.
• Nought (शून्य): Zero; the digit 0.
• Example: The number 100 has two noughts.

The correct answer is Option 2)

Key Points

• The word "calculating" means acting in a scheming and ruthlessly determined way. (चालाक और निर्दयी ढंग से कार्य करना)
• Example: His calculating nature made him very successful in the corporate world.
• "Manipulative" refers to exercising unscrupulous control or influence over a person or situation. (किसी व्यक्ति या स्थिति पर अनुचित नियंत्रण या प्रभाव का प्रयोग करना)
• Example: She was very manipulative, always finding ways to get what she wanted.

Hence, we can infer that the synonym of 'calculating' is 'manipulative'.

Additional Information

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

• Callous (निर्दयी): Showing or having an insensitive and cruel disregard for others.
• Example: His callous comments about the accident shocked everyone.
• Unscrupulous (बेईमान): Having or showing no moral principles; not honest or fair.
• Example: He was unscrupulous in his business dealings, often cheating his clients.
• Unsympathetic (असंवेदनशील): Not feeling, showing, or expressing sympathy.
• Example: She was unsympathetic to his situation and offered no help.

Logic : Alternately (2) and (4) are added to each number subsequently.

Hence, "36" is the correct answer.

The logic followed here is :

1. For the left top number series → (2) is added to each number subsequently.

2) For the left bottom corner number series → (2) is added to each number subsequently.

3. For the right corner number series → (4) is added to each number subsequently.

4. For '

' element → No change.

Thus, the final series is :

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

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: National fruits of countries.

Here,

India : Mango → Mango is the national fruit of India.

Similarly,

New Zealand : Kiwi → Kiwi is the national fruit of New Zealand.

Hence, the correct answer is "Option 3".

Given Equation: 32 B 4 D 116 A 2 C 13 = ?

BODMAS Rule:

Decoding the given information:

 

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

⇒ 32 × 4 - 116 ÷ 2 + 13 = ?

⇒ 128 - 116 ÷ 2 + 13 = ?

⇒ 128 - 58 + 13 = ?

⇒ 70 + 13 = 83.

Hence, the correct option is "Option 4".

Given : 35 × 96 - 8 + 3 ÷ 11 = ? 

According to the question, after replacing the signs :

‘+’ and ‘×’ are interchanged and,

‘-’ and ‘÷’ are interchanged

So,​​

35 × 96 - 8 + 3 ÷ 11 = ?  ⇒ 35 + 96 ÷ 8 × 3 - 11 = ? 

35 + 96 ÷ 8 × 3 - 11 = ?

35 + 12 × 3 - 11 = ?

35 + 36 - 11 = ?

71 - 11 = ?

60 = ?

Hence, "60" is the correct answer.

Given word: 'SOUNDBAR'

After arranged in alphabetical order:

 

Now,

there is One alphabet "N" will remain unchanged if each of the letters in the word 'SOUNDBAR' is arranged in English alphabetical order.

Hence, the correct answer is "Option 1".

The faces opposite to each other are shown below:

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

So, opposite pairs are:

Eat → Fly

Run → Pray

Play → Cry

Therefore, 'Fly' is the opposite of 'Eat'.

Hence, "Y" is the correct answer.

The logic followed here is: No specific pattern is followed here, random digits are assigned to each letter of the word.

'MOAT’ is coded as ‘8652’

And,

‘TRAM’ is coded as ‘4256’

As, 'M', 'T', and 'A' are common, therefore it can be concluded that :

O is coded as → 8

R is coded as → 4

So, the code for 'R' is '4'.

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

Given : _ F _ G E E _ E _ E E F _ G E E _ E G _  

By checking options :

1. EEFGEFE → E F E G E E F E G E E F E G E E F E G E → (It follows the pattern of :  EFEGE - EFEGE - EFEGE - EFEGE)
2. EFFGFEF → E F F G E E F E G E E F F G E E E E G F → (It doesn't Follow the pattern)
3. EFGFEEF → E F F G E E G E F E E F E G E E E E G F → (It doesn't Follow the pattern)
4. FEFGFFE → F F E G E E F E G E E F F G E E F E G E → (It doesn't Follow the pattern)

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

Hence, "EEFGEFE" is the correct answer.

The logic followed here is:

Logic: Part-Whole Relationship.

Here,

Palate : Mouth → Palate is a part of the Mouth.

Similarly,

Ceiling : Room → Ceiling is a part of the Room.

Hence, the correct answer is "Option 4".

Logic: Odd number series starting with (9) is added subsequently.

Hence, "61" is the correct answer.

Logic: (4), (7), and (3) are added to the first, second, and third letters position values according to the English alphabetic series respectively.

​​So,

​

Hence, "Option - (2)" 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:

@ → $

¥ → #

* → %

Therefore, '%' is the opposite of '*'.

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

Given Equation: 12 J 2 K 17 A 15 V 19 = ?

BODMAS Rule:

Decoding the given information:

 

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

⇒ 12 ÷ 2 + 17 - 15 × 19 = ?

⇒ 6 + 17 - 15 × 19 = ?

⇒ 6 + 17 - 285 = ?

⇒ 23 - 285 = -262.

Hence, the correct option is "Option 3".

According to the given information,

Thus, according to the given codes 'nl' is the code for the word 'missed'.

Hence, the correct answer is "nl".

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

Conclusions:

I. All rings being anklets is a possibility → Follow (As all rings are bangles and some bangles are anklets. As whole rings comes in bangles which have some common part with anklets, therefore rings beings can be a possibility.)

II. All bangles can never be pendants → Follow (As some bangles are anklets and no anklet is a pendant. As some part of bangles is common with anklets which can not be pendant, therefore all bangles can not be pendants is true)

∴ Here, Both conclusions I and II follow.​

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

The logic followed here is:

Logic: **√**1st number = 2nd number.

Now,

For, 529 : 23

⇒ √529 = 23.

For, 324 : 18

⇒ √324 = 18.

Similarly, for 625 ∶ ?

⇒ √625 = 25.

Hence, the correct answer is "Option 4".

Logic: 

First and second letter → (2) is added to the position values according to the English alphabetic series.

Second and third letter → (4) is added to the position values according to the English alphabetic series.

​​So, checking the options one by one :

Option - (1) : GIM 

Option - (2) : PRV 

Option - (3) : HJN 

Option - (4) : EGJ

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

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

The logic followed here is:

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

Now,

For, (5, 25, 50)

⇒ (5² = 25) and (25 × 2 = 50).

Similarly, for (8, 64, 128)

⇒ (8² = 64) and (64 × 2 = 128).

Similarly, for (12, 144, 288)

⇒ (12² = 144) and (144 × 2 = 288).

Hence, the correct answer is "Option 1".

The correct mirror image of the given figure is:

​

Hence, the correct answer is "Option 1".

Given: 16 July 2001 was Monday.

Now,

2001 to 2006 = 5 Years (4 Ordinary Year and 1 Leap Year).

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

So, 1 Leap Year has 2 odd days,

And, 4 Ordinary Year has 4 odd days.

Total odd days = 2 + 4 = 6.

then, 16 July 2006 will be Monday + 6 = Sunday.

Now, the number of days between 16 July 2006 to 23 December 2006

= 15(July) + 31(August) + 30(September) + 31(October) + 30(November) + 23(December) = 160 days.

= 160 days → 160/7 = 22 weeks and 6 odd days.

So, 23 December 2006 will be Sunday + 6 = Saturday.

Hence, the correct answer is "Option 1".

Decoding the Symbols:

Given : T @ S # M & N $ G 

T @ S → T is the brother of S.

S # M → S is the son of M.

M & N → M is the wife of N.

N $ G → N is the father of G.

So, T is the brother of G.

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

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

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

Hence, "9" is the correct answer.

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

∴ Here, the given figure is embedded in option Figure - 1.

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

Given:

In the year 2000:

Monu's age = 3 times his sister's age

In the year 2010:

Monu's age = Sister's age + 24 years

Formula Used:

Let Monu's age in 2000 be M and his sister's age be S.

In 2000, M = 3S

In 2010, M + 10 = (S + 10) + 24

Calculation:

From the first equation:

M = 3S

Substitute M in the second equation:

3S + 10 = S + 34

Simplify:

⇒ 3S + 10 = S + 34

⇒ 3S - S = 34 - 10

⇒ 2S = 24

⇒ S = 12

Now, find M:

⇒ M = 3S

⇒ M = 3 × 12

⇒ M = 36

Monu's age in 2010:

⇒ M + 10 = 36 + 10

⇒ 46 years

Monu's age in 2010 is 46 years.

Given:

Number to be checked: 7658

Divisor: 45

Formula Used:

Nearest number divisible by a given number = (Given number / Divisor) × Divisor

Calculation:

First, find the quotient when 7658 is divided by 45:

Quotient = 7658 / 45

⇒ Quotient = 170.1778 (approximately)

Now, multiply the integer part of the quotient by 45:

Nearest lower number divisible by 45 = 170 × 45

⇒ 170 × 45 = 7650

Next, check the next number by adding 1 to the integer part of the quotient and multiplying by 45:

Nearest higher number divisible by 45 = 171 × 45

⇒ 171 × 45 = 7695

Now, compare the differences:

Difference with 7650 = 7658 - 7650 = 8

Difference with 7695 = 7695 - 7658 = 37

Since 8 < 37, the number nearest to 7658 and exactly divisible by 45 is: 7650

Given:

Binding Charges = 18%

Paper Cost = 10%

Total Angle of Pie Chart = 360°

Formula used:

Central Angle = (Percentage × 360°) / 100

Calculation:

Central Angle for Binding Charges = (18 × 360°) / 100

⇒ Central Angle for Binding Charges = 64.8°

Central Angle for Paper Cost = (10 × 360°) / 100

⇒ Central Angle for Paper Cost = 36°

Difference = 64.8° - 36°

⇒ Difference = 28.8°

∴ The correct answer is 28.8°.

Given:

Distance from the mirror to the foot of the lamppost = 6.6 m

Man's height = 1.25 m

Distance from the man to the mirror = 2 m

Formula Used:

Using similar triangles:

Height of lamppost / Distance from lamppost to mirror = Man's height / Distance from man to mirror

Calculation:

Let the height of the lamppost be h meters.

Using the similar triangles property:

$\frac{h}{6.6} = \frac{1.25}{2}$

⇒ h = 6.6 ×

⇒ h = 6.6 × 0.625

⇒ h = 4.125 meters

Since the closest option is 4.13, we round off to 4.13 meters.

The height of the lamppost is 4.13 meters.

Shortcut Trick

For any Arithmetic Progression (consecutive numbers), the Average is the middle term.

Shortcut Formula: Average = (First Term + Last Term) ÷ 2

⇒ Average = (1 + 69) ÷ 2

⇒ Average = 70 ÷ 2 = 35

∴ The correct answer is 35.

Alternate Method

Given: Natural numbers from 1 to 69.

Formula: Average = Sum of all observations ÷ Number of observations (n)

Sum of first n natural numbers = [n × (n + 1)] ÷ 2

⇒ Here, n = 69

⇒ Sum = [69 × (69 + 1)] ÷ 2

⇒ Sum = (69 × 70) ÷ 2 = 69 × 35 = 2415

⇒ Average = 2415 ÷ 69

⇒ Average = 35

∴ The correct answer is 35.

Additional Information

Sum of First n Natural Numbers

The sum is calculated using the formula S_n = n(n + 1) ÷ 2.

Average of First n Even Numbers

The average of the first n consecutive even numbers starting from 2 is simply (n + 1).

Average of First n Odd Numbers

The average of the first n consecutive odd numbers starting from 1 is always equal to n.

Average of Square of First n Natural Numbers

The formula for the average of squares is [(n + 1)(2n + 1)] ÷ 6.

Given:

Diameter of the base of the cylinder = 14 cm

Curved Surface Area (CSA) of the cylinder = 352 cm²

Formula Used:

1. Radius of the base (r) = Diameter / 2
2. Curved Surface Area (CSA) = 2πrh
3. Total Surface Area (TSA) = 2πr(r + h)

Calculation:

1. Calculate the radius:

Radius, r = 14 / 2

⇒ r = 7 cm

2. Use CSA to find the height (h) of the cylinder:

CSA = 2πrh

⇒ 352 = 2 × 22/7 × 7 × h

⇒ 352 = 44h

⇒ h = 352 / 44

⇒ h = 8 cm

3. Calculate the Total Surface Area (TSA):

TSA = 2πr(r + h)

⇒ TSA = 2 × 22/7 × 7 × (7 + 8)

⇒ TSA = 2 × 22/7 × 7 × 15

⇒ TSA = 2 × 22 × 15

⇒ TSA = 660 cm²

The total surface area of the cylinder is 660 cm².

Shortcut Trick

When the distance covered is the same for two parts of a journey, use the formula:

Average Speed = (2 × S₁ × S₂) ÷ (S₁ + S₂)

Average Speed = (2 × 40 × 20) ÷ (40 + 20) = 1600 ÷ 60 = 80/3 km/h

Average Speed = 26 2/3 km/h

∴ The correct answer is 26 2/3 km/h.

Alternate Method

Given:

Speed during onward journey (S₁) = 40 km/h

Speed during return journey (S₂) = 20 km/h

Formula Used:

Average Speed = Total Distance ÷ Total Time

⇒ Let the distance between the starting point and the turning point be d km.

⇒ Time taken to travel from A to B (t₁) = d ÷ 40 hours.

⇒ Time taken to travel from B back to A (t₂) = d ÷ 20 hours.

⇒ Total distance covered = d + d = 2d km.

⇒ Total time taken = (d ÷ 40) + (d ÷ 20) = (d + 2d) ÷ 40 = 3d ÷ 40 hours.

⇒ Average Speed = 2d ÷ (3d ÷ 40)

⇒ Average Speed = (2d × 40) ÷ 3d = 80 ÷ 3 km/h.

⇒ Average Speed = 26 2/3 km/h.

∴ The correct answer is 26 2/3 km/h.

Additional Information

Average Speed for Different Distances

If distances d₁, d₂ are covered with speeds s₁, s₂, then Average Speed = (d₁ + d₂) ÷ (d₁/s₁ + d₂/s₂).

Harmonic Mean Property

When distances are equal, the average speed is the Harmonic Mean of the individual speeds.

Unit Conversion

To convert speed from km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

Average Speed for Three Equal Distances

If three equal distances are covered with speeds x, y, and z, then Average Speed = 3xyz ÷ (xy + yz + zx).

Given:

Percentage = 28%

Calculation:

Convert 28% into a fraction:

28% = 28/100

Simplify the fraction:

28/100 ⇒ 7/25

Therefore, the ratio is 7 ∶ 25.

The correct option is 1.

Given:

Numbers: 645372, 893002, 654320, 602351

Formula Used:

A number is divisible by 22 if it is divisible by both 2 and 11.

Calculation:

1. Checking 645372:

Divisibility by 2: 645372 is even (last digit is 2) ⇒ Divisible by 2

Divisibility by 11: Sum of digits at odd places = 6 + 5 + 7 = 18

Sum of digits at even places = 4 + 3 + 2 = 9

Difference = 18 - 9 = 9 (Not Divisible by 11) ⇒ Not Divisible by 11

645372 is divisible by 22.

2. Checking 893002:

Divisibility by 2: 893002 is even (last digit is 2) ⇒ Divisible by 2

Divisibility by 11: Sum of digits at odd places = 8 + 3 + 0 = 11

Sum of digits at even places = 9 + 0 + 2 = 11

Difference = 11 - 11 = 0 (Divisible by 11) ⇒ Divisible by 11

893002 is divisible by 22.

3. Checking 654320:

Divisibility by 2: 654320 is even (last digit is 0) ⇒ Divisible by 2

Divisibility by 11: Sum of digits at odd places = 6 + 4 + 2 = 12

Sum of digits at even places = 5 + 3 + 0 = 8

Difference = 12 - 8 = 4 (Not divisible by 11) ⇒ Not divisible by 11

654320 is not divisible by 22.

4. Checking 602351:

Divisibility by 2: 602351 is odd (last digit is 1) ⇒ Not divisible by 2

602351 is not divisible by 22.

Correct Option: 2 (893002)

Shortcut Trick

Total Expenditure % = 10% + 10% + 20% + 15% = 55%

Total Savings % = 100% − 55% = 45%

Savings Amount = 45% of ₹30,000 = 0.45 × 30,000

Savings = ₹13,500

∴ The correct answer is ₹13,500.

Alternate Method

Given:

Monthly Income = ₹30,000

Groceries = 10% | Medicines = 10% | Children's Education = 20% | House Rent = 15%

Calculations:

⇒ Total Expenditure = 10% + 10% + 20% + 15% = 55% of Income

⇒ Savings Percentage = 100% − 55% = 45%

⇒ Savings in Value = (45 ÷ 100) × 30,000

⇒ Savings = 45 × 300

⇒ Savings = ₹13,500

∴ The correct answer is ₹13,500.

Additional Information

Percentage Expenditure

When expenditures are given as simple percentages of the total income, they are additive: Total % = P₁ + P₂ + ... + P_n.

Remaining Balance Method

If the question says '% of the remaining amount', we use the multiplying factor: Savings = Income × (1 − r₁) × (1 − r₂)...

Income Formula

Income = Total Expenditure + Savings. This basic identity is used to find any one unknown variable.

Given:

O is the center of the circle.

AE is the diameter.

∠AOC = 100°

Formula used:

1. The angle subtended by a chord at the center is twice the angle subtended by the same chord at the circumference.
2. The sum of opposite angles in a cyclic quadrilateral is 180°.

Calculation:

For ∠CDE:

Consider chord CE

∠COE is the angle subtended by the chord CE at centre and ∠CDE is the angle subtended by the same chord at the circumference.

So, ∠CDE = 1/2 × ∠COE = 1/2 × 80 = 40° 

For ∠CEA:

Consider chord AC

∠AOC is the angle subtended by the chord AC at centre and ∠CEA is the angle subtended by the same chord at the circumference.

So, ∠CEA = 1/2 × ∠AOC = 1/2 × 100 = 50° 

Thus, ∠CDE + ∠CEA = 40 + 50 = 90° 

∴ The correct answer is option (3).

Formula used:

The formula to calculate the mean is:

Mean = (Σ(f × x)) / Σf

Where:

f = Number of children (frequency)

x = Age in years

Calculation:

Σ(f × x) = (6 × 8) + (7 × 3) + (8 × 7) + (9 × 2) + (10 × 20)

⇒ Σ(f × x) = 48 + 21 + 56 + 18 + 200

⇒ Σ(f × x) = 343

Σf = 8 + 3 + 7 + 2 + 20 = 40

Mean = 343 / 40

⇒ Mean = 8.575

∴ The mean age of the children is 8.575 years.

Given:

70% of the cost price (CP) = 40% of the selling price (SP)

Formula Used:

Profit Percentage = (SP - CP)/(CP) × 100

Calculation:

Let the cost price (CP) be x.

70% of CP = 40% of SP

⇒ 0.7 × x = 0.4 × SP

⇒ SP = (0.7 × x)/(0.4)

⇒ SP = 1.75 × x

Profit = SP - CP

Profit = 1.75 × x - x

Profit = 0.75 × x

Profit Percentage = (0.75 × x)/(x) × 100

Profit Percentage = 0.75 × 100

Profit Percentage = 75%

The profit percentage is 75%.

Given:

Angle to find tan value = 570º

Formula Used:

tan(θ + 360º) = tan(θ)

Calculation:

To find tan 570º , we reduce the angle by subtracting multiples of 360º until we get an equivalent angle between 0º and 360º.

570º - 360º = 210º

Therefore, tan(570º) = tan(210º)

Now, tan(210º) = tan(180º + 30º)

Using the formula tan(180º + θ) = tan(θ) , we get:

tan(210º) = tan(30º)

And we know:

tan(30º) = 1/√3

However, since 210º is in the third quadrant where tan is positive, we have:

tan(210º) = tan(30º) = 1/√3

Therefore, the value of tan(570º) is 1/√3 .

Given:

Total votes cast = 83%

Invalid votes = 4% of total votes cast

Votes for Party A = 156611

Votes for Party A = 83% of total valid votes

Formula Used:

Total votes cast = (Total votes enrolled) × (83 / 100)

Invalid votes = (Total votes cast) × (4 / 100)

Valid votes = Total votes cast - Invalid votes

Votes for Party A = (Valid votes) × (83 / 100)

Calculation:

Let the total number of votes enrolled be x .

Total votes cast = x × (83 / 100)

Invalid votes = x × (83 / 100) × (4 / 100)

Invalid votes = x × (0.83) × (0.04)

Invalid votes = x × 0.0332

Valid votes = Total votes cast - Invalid votes

Valid votes = x × 0.83 - x × 0.0332

Valid votes = x × (0.83 - 0.0332)

Valid votes = x × 0.7968

Votes for Party A = (Valid votes) × (83 / 100)

156611 = x × 0.7968 × (83 / 100)

156611 = x × 0.7968 × 0.83

156611 = x × 0.661344

⇒ x = 156611 / 0.661344

⇒ x ≈ 236807

The total number of votes enrolled in that election is 2,36,807.

Given:

In ΔABC, ∠ABC = 90°

m(AB) = 15 cm

m(BC) = 20 cm

BD ⊥ AC, where D is the point of intersection of BD and AC

Formula used:

Using the Pythagorean theorem to find the hypotenuse AC:

AC = √(AB² + BC²)

Then, using the formula for the length of the perpendicular from the right angle to the hypotenuse:

m(BD) = (AB × BC) / AC

Calculation:

AC = √(15² + 20²)

⇒ AC = √(225 + 400)

⇒ AC = √625

⇒ AC = 25 cm

Now, find m(BD):

m(BD) = (15 × 20) / 25

⇒ m(BD) = 300 / 25

⇒ m(BD) = 12 cm

∴ The length of BD is 12 cm.

Given:

Total weight of the box filled with gift articles = 25 kg

Ratio of the weight of the box to the weight of the gift articles = 1 ∶ 9

Formula Used:

Weight of gift articles = (Total weight × Ratio of gift articles) / (Sum of ratio parts)

Calculation:

Total ratio parts = 1 + 9 = 10

Weight of gift articles = (25 kg × 9) / 10

⇒ Weight of gift articles = 225 / 10

⇒ Weight of gift articles = 22.5 kg

Convert the weight into grams:

1 kg = 1000 grams

Weight of gift articles in grams = 22.5 kg × 1000

⇒ Weight of gift articles in grams = 22500 grams

The weight of the articles is 22500 grams.

Shortcut Trick

Ratio of edges = 3 : 5 : 8

Ratio of surface area = 2 × (3×5 + 5×8 + 8×3) = 2 × (15 + 40 + 24) = 158 units²

Given area 158 units² = 632 cm² ⇒ 1 unit² = 4 cm² ⇒ 1 unit = 2 cm

Actual edges are (3×2), (5×2), (8×2) = 6 cm, 10 cm, 16 cm

Volume = 6 × 10 × 16 = 960 cm³

∴ The correct answer is 960 cm³.

Alternate Method

Given:

Ratio of edges of the rectangular box = 3 : 5 : 8

Total Surface Area (TSA) = 632 cm²

Formula Used:

TSA of a cuboid = 2(lb + bh + hl)

Volume of a cuboid = l × b × h

Calculations:

Let the length (l), breadth (b), and height (h) be 3x, 5x, and 8x respectively.

⇒ 2(3x × 5x + 5x × 8x + 8x × 3x) = 632

⇒ 2(15x² + 40x² + 24x²) = 632

⇒ 2(79x²) = 632

⇒ 158x² = 632

⇒ x² = 632 ÷ 158 = 4

⇒ x = √4 = 2

⇒ Dimensions: l = 3×2 = 6 cm, b = 5×2 = 10 cm, h = 8×2 = 16 cm

⇒ Volume = 6 × 10 × 16 = 960 cm³

∴ The correct answer is 960 cm³.

Additional Information

Total Surface Area (TSA)

The total area of all six faces of the cuboid, calculated as 2(lb + bh + hl).

Volume of a Cuboid

The space occupied by the box, calculated by the product of its three dimensions: l × b × h.

Diagonal of a Cuboid

The longest rod that can be placed inside the box, given by √(l² + b² + h²).

Lateral Surface Area (LSA)

The area of the four vertical walls of the box, calculated as 2h(l + b).

Formula used:

Percentage of accidents in April = (Number of accidents in April / Total number of accidents) × 100

Calculation:

Total number of accidents = 25 + 19 + 30 + 43 + 35 + 27

⇒ Total number of accidents = 179

Percentage of accidents in April = (43 / 179) × 100

⇒ Percentage of accidents in April ≈ 24.02%

∴ The percentage of accidents in April is approximately 24%.

Given:

Cost Price (CP) of the goods = C

Marked Price (MP) = 1.5 × C

Discount offered = 30% of Marked Price

Formula Used:

Selling Price (SP) = Marked Price - Discount

Percentage Gain = ((SP - CP))/(CP) × 100

Calculation:

Marked Price (MP) = 1.5 × C

Discount = 30% of MP = 0.3 × 1.5 × C = 0.45 × C

Selling Price (SP) = MP - Discount

⇒ SP = 1.5 × C - 0.45 × C

⇒ SP = 1.05 × C

Percentage Gain = ((SP - CP))/(CP) × 100

⇒ Percentage Gain = ((1.05 × C - C))/(C) × 100

⇒ Percentage Gain = (0.05 × C)/(C) × 100

⇒ Percentage Gain = 0.05 × 100

⇒ Percentage Gain = 5%

The percentage gain is 5%.

Given:

A and B can complete a piece of work in 15 days.

B and C can complete a piece of work in 30 days.

C and A can complete a piece of work in 45 days.

Formula Used:

Work rate of A + B + C = 1/(Work rate of A and B) + 1/(Work rate of B and C) + 1/(Work rate of C and A)

Time taken when A, B, and C work together = 1 / (Work rate of A + B + C)

Calculation:

Let the work rates of A, B, and C be A, B, and C respectively.

A + B = 1/15

B + C = 1/30

C + A = 1/45

Adding these three equations:

(A + B) + (B + C) + (C + A) = 1/15 + 1/30 + 1/45

⇒ 2A + 2B + 2C = 1/15 + 1/30 + 1/45

⇒ 2(A + B + C) = (6 + 3 + 2) / 90

⇒ 2(A + B + C) = 11 / 90

⇒ A + B + C = 11 / 180

Time taken when A, B, and C work together = 1 / (A + B + C)

⇒ Time = 1 / (11 / 180)

⇒ Time = 180 / 11

⇒ Time = 16 (4/11) days

The correct answer is option 2.

Given:

Cash price of the clock = ₹550

Down payment = ₹250

Amount paid after one month = ₹310

Time = 1 month = 1/12 year

Formula used:

Principal (P) = Cash price - Down payment

Interest (I) = Amount paid - Principal

Simple Interest formula: I = (P × R × T) / 100

Calculation:

Principal (P) = ₹550 - ₹250 = ₹300

Interest (I) = ₹310 - ₹300 = ₹10

I = (P × R × T) / 100

⇒ 10 = (300 × R × 1/12) / 100

⇒ 10 = (300R) / 1200

⇒ 10 = R / 4

⇒ R = 10 × 4 = 40%

∴ The rate of interest charged in the installment scheme is 40%.

Given:

Radius of the circle, r = 8 cm

Distance from point K to the center T, KT = 17 cm

Two tangents KE and KI are drawn from point K

Formula Used:

Area of Quadrilateral TEKI = 2 × Area of Triangle TEK

Area of Triangle = 1/2 × base × height

For right-angled triangles:

Pythagoras theorem: a² + b² = c²

Calculation:

In the right-angled triangle TEK:

TE = Radius = 8 cm

KT = Hypotenuse = 17 cm

Using Pythagoras theorem:

⇒ KE² = KT² - TE²

⇒ KE² = 17² - 8²

⇒ KE² = 289 - 64

⇒ KE² = 225

⇒ KE = √225

⇒ KE = 15 cm

Area of Triangle TEK:

⇒ Area = (1/2) × TE × KE

⇒ Area = (1/2) × 8 × 15

⇒ Area = 60 sq.cm

Since TEKI is symmetrical:

Area of Quadrilateral TEKI = 2 × Area of Triangle TEK

⇒ Area of TEKI = 2 × 60

⇒ Area of TEKI = 120 sq.cm

The area of the quadrilateral TEKI is 120 sq.cm.

Given:

The population of the city (in lakhs) for the years 1951 and 2001 is as follows:

Population in 1951 = 25 lakhs

Population in 2001 = 61 lakhs

Formula used:

Percentage Increase = [(Final Population - Initial Population) / Initial Population] × 100

Calculation:

Percentage Increase = [(61 - 25) / 25] × 100

⇒ Percentage Increase = (36 / 25) × 100

⇒ Percentage Increase = 1.44 × 100

⇒ Percentage Increase = 144%

∴ The percentage increase in population from 1951 to 2001 is 144%.

Given:

Side of the first cube = 6 cm.

Side of the second cube = 8 cm.

Side of the third cube = 10 cm.

Formula Used:

Volume of a cube = side³

Surface area of a cube = 6 × side²

Calculation:

Volume of the first cube = 6³ = 216 cm³

Volume of the second cube = 8³ = 512 cm³

Volume of the third cube = 10³ = 1000 cm³

Total volume = 216 + 512 + 1000

⇒ Total volume = 1728 cm³

Let the side of the new cube be x cm.

Volume of the new cube = x³

Since the volume of the new cube is equal to the total volume of the three cubes:

x³ = 1728

⇒ x = 12 cm

Surface area of the new cube = 6 × 12²

⇒ Surface area = 6 × 144

⇒ Surface area = 864 cm²

The surface area of the new cube is 864 cm².

The correct answer is 1

Key Points

• Option 1 is incorrect because the Fundamental Duties were introduced by the 42nd Amendment Act, 1976, not the 44th Amendment Act.
• Option 2 is correct. The 86th Amendment Act, 2002, expanded the Fundamental Duties to include the duty of parents to provide opportunities for education to their children between the ages of 6 and 14.
• Option 3 is correct. Article 51A (a) entails respecting the ideals and institutions, the National Flag, and the National Anthem.
• Option 4 is correct. The Fundamental Duty obliges parents to provide opportunities for education to their child between 6-14 years of age.

Additional Information

• The Fundamental Duties are enshrined in Part IVA of the Constitution of India under Article 51A.
• They were added to the Constitution by the 42nd Amendment Act, 1976, based on the recommendations of the Swaran Singh Committee.
• Initially, 10 Fundamental Duties were listed, and the 86th Amendment Act added an 11th duty.
• The Fundamental Duties are non-justiciable, meaning they are not enforceable by the courts for their violation.

The correct answer is Himachal Pradesh

Key Points

• In February 2023, Shiv Pratap Shukla was appointed as the governor of Himachal Pradesh.
• The appointment was part of a series of gubernatorial appointments and reshuffles made by the President of India.
• Shiv Pratap Shukla is a senior politician and a member of the Bharatiya Janata Party (BJP).
• His appointment reflects the ongoing administrative changes and appointments at the state level in India.

Additional Information

• The position of Governor in India is largely ceremonial, but it is an important constitutional office.
• Governors are appointed by the President of India and serve as the constitutional head of a state.
• The Governor's role includes overseeing the functioning of the state government and ensuring it operates within the framework of the Constitution.
• Shiv Pratap Shukla has previously held various political positions and has a long-standing career in Indian politics.

The correct answer is Ranjit Sinhji

Key Points

• The Ranji Trophy is named after Ranjit Sinhji, who was one of the first Indian cricketers to gain international fame.
• Ranjit Sinhji, also known as "Ranji," played for the English cricket team and is considered one of the greatest batsmen of all time.
• He was the ruler of the princely state of Nawanagar and was known for his unique batting style and contributions to cricket.
• The Ranji Trophy, India's premier domestic cricket competition, was established in 1934 to honor his legacy.

Additional Information

• Ranjit Sinhji was born on 10th September 1872 and passed away on 2nd April 1933.
• He played for Sussex in English county cricket and for Cambridge University.
• Ranjit Sinhji was the first Indian to play Test cricket, debuting for England in 1896.
• His innovative technique and prolific run-scoring made him a cricketing legend.
• The Ranji Trophy continues to be a crucial platform for aspiring cricketers in India to showcase their talent.

The correct answer is 15 overs per hour

Key Points

• The minimum over rate in a test match is 15 overs per hour.
• Over rates are a crucial aspect of maintaining the game's pace and ensuring that spectators get to watch a fair amount of play.
• Teams must adhere to this rate to avoid penalties, including fines or point deductions in the World Test Championship.
• Effective over-rate management involves strategic planning and efficient field placements to minimize time wastage between deliveries.

Additional Information

• The International Cricket Council (ICC) monitors over rates in international matches and can impose sanctions on teams falling short.
• In recent years, various measures such as time limits for innings and penalties for slow over rates have been introduced to speed up the game.
• Maintaining a good over rate not only keeps the game engaging but also demonstrates the professionalism and discipline of the team.
• Technological advancements, such as the use of digital timers and improved communication systems, have also helped in managing over rates more effectively.

The correct answer is Top left corner of a Word window

Key Points

• The top left corner of a Word window is where the Save button is located in Microsoft Word.
• The Save button is part of the Quick Access Toolbar, which provides easy access to common commands.
• In addition to using the Save button, you can also save a document by pressing Ctrl + S on your keyboard.
• The Save button allows you to save your current document quickly and efficiently without navigating through the File menu.
• Regularly saving your work helps to prevent data loss due to unexpected issues such as power outages or software crashes.

Additional Information

• Microsoft Word is a word processing application developed by Microsoft.
• Word offers a variety of tools and features to create and edit text documents, including formatting options, templates, and collaborative tools.
• The Quick Access Toolbar can be customized to include additional commands that you use frequently.
• Other common commands on the Quick Access Toolbar include Undo, Redo, and Open.
• Microsoft Word is available as part of the Microsoft Office suite, which includes other applications such as Excel, PowerPoint, and Outlook.

The correct answer is Amrit Dharohar

Key Points

• Amrit Dharohar is the name of the scheme aimed at the conservation of wetlands, which was announced in the Union Budget 2023-24.
• The scheme is designed to enhance the protection and management of wetlands across India.
• Wetlands are crucial ecosystems that support a wide range of biodiversity and provide numerous environmental benefits such as water filtration, flood control, and carbon sequestration.
• The initiative is part of the government's broader efforts to promote sustainable development and environmental conservation.

Additional Information

• Wetlands are areas where water covers the soil, or is present either at or near the surface of the soil all year or for varying periods during the year, including during the growing season.
• India is a signatory to the Ramsar Convention, an international treaty for the conservation and sustainable use of wetlands.
• The Ramsar Convention aims to halt the worldwide loss of wetlands and to conserve, through wise use and management, those that remain.
• India has 94 Ramsar sites, covering an area of over 1.3 million hectares.
• Conserving wetlands can also help in achieving several Sustainable Development Goals (SDGs), including those related to water, climate action, and life on land.

The correct answer is Balban

Key Points

• Balban adopted the policy of 'blood and iron' to deal with the Mewati community during his reign.
• Balban was one of the most powerful rulers of the Delhi Sultanate and served as Sultan from 1266 to 1287.
• His policy was characterized by strict administration and military actions to suppress rebellions and maintain order.
• Balban's reign marked significant efforts to consolidate the Sultanate's power and curb internal and external threats.

Additional Information

• Balban's full name was Ghiyas ud din Balban, and he belonged to the Mamluk dynasty.
• He initially served as a noble under Sultan Nasiruddin Mahmud before ascending to the throne.
• Balban is known for his strict enforcement of law and order and his efforts to strengthen the central authority of the Sultanate.
• He established a network of spies to keep an eye on the nobles and ensure loyalty to the Sultanate.
• Balban's reign laid the foundation for a more centralized and disciplined administration, which was crucial for the stability of the Delhi Sultanate.

The correct answer is docx

Key Points

• docx files typically occupy less memory compared to other MS-Word file formats.
• The docx format is a compressed file format, which makes it more storage-efficient.
• Introduced in Microsoft Word 2007, docx is an XML-based file format that reduces file size and improves data recovery options.
• In contrast, doc files, which were used in versions of Microsoft Word prior to 2007, are generally larger because they are not compressed.
• The docm format is similar to docx but includes macros, which can increase the file size.
• The docc format is not a standard MS-Word file format.

Additional Information

• Using the docx format can improve file-sharing and storage efficiency.
• It also supports a variety of advanced features such as improved graphics and better integration with other Microsoft Office applications.
• Due to its widespread adoption, docx files are highly compatible with various word processing software.
• Converting older doc files to docx can help in saving storage space.

The correct answer is Gir Forest

Key Points

• The Gir Forest is the only natural habitat of the Asiatic Lion in India.
• Located in the state of Gujarat, the Gir Forest National Park and Wildlife Sanctuary is home to the last remaining population of Asiatic Lions.
• The Asiatic Lion, also known as Panthera leo persica, once roamed from the Middle East to India, but now they are confined to this single location due to habitat loss and hunting.
• Conservation efforts in the Gir Forest have been crucial in increasing the population of these lions from the brink of extinction.
• The Gir Forest covers an area of approximately 1,412 square kilometers and comprises diverse flora and fauna.

Additional Information

• The Gir National Park was established in 1965 and has since been a protected area for wildlife conservation.
• The Government of Gujarat and various wildlife organizations have implemented several measures to protect and increase the population of Asiatic Lions.
• Tourism in the Gir Forest is regulated to ensure minimal disturbance to the wildlife and their natural habitat.
• The Asiatic Lion differs from its African counterpart by being slightly smaller with a less developed mane.
• Efforts are ongoing to explore potential sites for reintroducing the Asiatic Lion to reduce the risk of the entire population being confined to a single area.

The correct answer is Buddhism

Key Points

• The Hemis festival is a significant religious festival in Buddhism, celebrated in the Hemis Monastery in Ladakh, India.
• This festival marks the birth anniversary of Guru Padmasambhava, who is believed to be the founder of Tibetan Buddhism.
• The celebrations include colorful masked dances, traditional music, and various cultural performances that attract both locals and tourists.
• The festival is held annually in the fifth month of the Tibetan lunar calendar, which usually falls in June or July.

Additional Information

• The Hemis Monastery is one of the largest and wealthiest monasteries in Ladakh, founded by King Sengge Namgyal in 1672.
• The monastery is known for its rich collection of ancient relics, thangkas (Tibetan Buddhist paintings), and statues.
• The Hemis festival provides a glimpse into the rich cultural heritage and religious traditions of the Tibetan Buddhist community in Ladakh.
• Visitors to the festival can also explore the beautiful landscapes and unique architecture of the region.

The correct answer is Aerosol

Key Points

• Aerosol is a colloidal system where small droplets of liquid or particles of solid are dispersed in a gas.
• Aerosols can be naturally occurring, like mist or volcanic ash, or man-made, such as smoke or spray from aerosol cans.
• The term aerosol encompasses both the particles and the gas in which they are suspended.
• Aerosols play a significant role in various environmental and health-related issues, such as air pollution and respiratory diseases.

Additional Information

• Aerosols are used in various industries, including pharmaceuticals, agriculture, and consumer products.
• They can affect climate by scattering or absorbing sunlight and by acting as nuclei for cloud formation.
• Inhalation of certain aerosols can be harmful, leading to respiratory issues or other health problems.
• Technological advancements have led to the development of more environmentally friendly aerosol products.

The correct answer is They possess a backbone and an internal skeleton

Key Points

• Invertebrates do not possess a backbone or an internal skeleton.
• They exhibit either radial or bilateral body symmetry.
• They have a pair of solid nerve cords, situated ventrally and bearing segmentally arranged ganglia.
• They typically have an open circulatory system as there is no organization in the distribution.

Additional Information

• Invertebrates constitute a vast majority of animal species on Earth, covering groups such as insects, arachnids, mollusks, crustaceans, and more.
• Despite lacking a backbone, many invertebrates have specialized adaptations that allow them to thrive in diverse environments.
• The study of invertebrates is crucial for understanding ecological interactions, evolutionary biology, and the development of medical and technological innovations.
• Invertebrates play key roles in ecosystems, including pollination, decomposition, and serving as food for other animals.

The correct answer is 1998

Key Points

• 1998 is the year when the Konkan Railway was constructed.
• The Konkan Railway is one of the most significant railway projects in India, connecting the western coast of India with the rest of the country.
• It covers the regions of Maharashtra, Goa, and Karnataka, providing a crucial link for transportation and trade.
• The construction of the Konkan Railway involved numerous engineering challenges, including the construction of numerous tunnels and bridges.

Additional Information

• The Konkan Railway project was initiated to reduce the travel time between Mumbai and Mangalore.
• It is considered a marvel of modern engineering due to the difficult terrain and the extensive use of tunnels and viaducts.
• The railway line significantly boosted the economy of the Konkan region by improving connectivity and transportation of goods and passengers.
• The Konkan Railway Corporation Limited (KRCL) was established in 1990 to oversee the construction and operation of the railway line.

The correct answer is Kolkata

Key Points

• ITC Sangeet Research Academy is located in Kolkata.
• The academy is renowned for its contribution to Indian classical music, particularly in the field of research and training.
• It provides a platform for talented musicians to be trained under the guidance of eminent gurus.
• The institution has played a significant role in preserving and promoting the rich heritage of Indian classical music.

Additional Information

• ITC Sangeet Research Academy was established in 1977 by ITC Limited, one of India's foremost private sector companies.
• The academy follows the ancient 'Gurukul' system where students (scholars) live and learn from their gurus.
• It has produced many renowned musicians who have made significant contributions to Indian classical music.
• The academy is located in the Tollygunge area of Kolkata, West Bengal.
• ITC SRA also organizes concerts, seminars, and workshops to promote Indian classical music.

The correct answer is Lord William Bentinck

Key Points

• Lord William Bentinck was the Governor General of India from 1828 to 1835.
• He issued the famous Regulation XVII in 1829, which declared the practice of Sati illegal and punishable by the courts.
• Regulation XVII was a significant step towards social reform in India, aiming to abolish the inhumane practice of Sati, where a widow was compelled to self-immolate on her husband's funeral pyre.
• This regulation was a result of persistent efforts by social reformers like Raja Ram Mohan Roy, who campaigned against the practice.

Additional Information

• Lord William Bentinck is also known for various other reforms, including the suppression of Thuggee and the introduction of English education in India.
• His tenure marked the beginning of several progressive changes in the Indian administrative system.
• The abolition of Sati was a landmark decision that highlighted the British administration's commitment to social reform and the protection of human rights.
• Regulation XVII faced opposition from orthodox sections of society, but it was upheld and enforced rigorously.
• Lord William Bentinck's efforts in abolishing Sati were later recognized as a pivotal moment in the history of Indian social reform.

The correct answer is Punjab

Key Points

• Giddha is a popular folk dance of Punjab, India.
• The dance is performed exclusively by women.
• It is known for its high energy and graceful movements, often accompanied by traditional folk songs.
• Giddha is traditionally performed during festive occasions and celebrations.
• The dance is characterized by its vibrant costumes and rhythmic clapping.

Additional Information

• Punjab is a state in northern India.
• The state is known for its rich cultural heritage and vibrant traditions.
• Besides Giddha, another famous dance form from Punjab is Bhangra, which is performed by men.
• Punjab's traditional attire for women includes the salwar kameez and dupatta, often adorned with colorful embroidery.
• The state is also renowned for its cuisine, including dishes like butter chicken, sarson da saag, and makki di roti.