SSC CHSL Tier-1 2024: Official Paper (Held On: 05 Jul, 2024 Shift 4) (Previous Year Paper)

The correct answer is Option 4)

Key Points

• In the given sentence, the past tense of the verb is required to indicate that the action has already been completed.
• The options provided are:
• 1. speak (present tense)
• 2. spoken (past participle)
• 3. speaking (present participle)
• 4. spoke (simple past)
• Since the sentence requires the past tense, the correct option is 'spoke'.
• Hence, the correct answer is option 4)

​Therefore the correct statement is: He spoke the truth.

Additional Information

• In English grammar, the simple past tense is used to describe actions that have already been completed at the time of speaking.
• Examples of the simple past tense:
• She walked to the park.
• They played soccer.
• We visited the museum.

The correct answer is Option 2)

Key Points

• In the second part of the given sentence, the article 'a' is incorrect.
• The correct usage should be 'the' before the superlative adjective 'sweetest'.
• Therefore, the corrected part should be 'the sweetest of'.

Hence, the correct statement should be: Ms. Rose is the sweetest of all the girls in the class.

Additional Information

• Articles 'a', 'an', and 'the' are used before nouns or adjectives to specify or generalize them.
• Use 'the' before superlative adjectives (e.g., the tallest, the sweetest).
• Use 'a' or 'an' before singular, countable nouns when referring to them in a general sense (e.g., a book, an apple).

The correct answer is Option 2)

 

Key Points

• The primary issue in the sentence is the use of "opened" instead of "opens".
• The sentence attempts to describe a habitual action.
• For habitual actions, the simple present tense "opens" should be used.
• Thus, the error is located in Option 2 of the sentence.

Therefore, the correct  statement is "The shop usually opens ten minutes late."

 

Additional Information

• Option 1: "late." – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "ten minutes" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "The shop" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 1)

Key Points

• In the third part of the given sentence, the article 'a' is incorrectly used before the plural noun 'seats'.
• In English grammar, the article 'a' is used before singular countable nouns, whereas 'seats' is a plural noun.
• The correct phrase should be 'with leather seats' without the article 'a'.

Hence, the correct statement is: I am going to buy a red car with leather seats and a sunroof.

Additional Information

• When using articles before nouns, ensure that the article agrees in number with the noun it modifies.
• Example: A book (singular) but books (plural) without 'a'.
• Articles 'a' and 'an' are used with singular countable nouns, whereas 'the' can be used with both singular and plural nouns.
• Example: The book (singular) and the books (plural) are on the table.

The correct answer is Option 1)

Key Points

• The passage discusses the significant role of human beings in shaping the world.
• The appropriate verb should fit well with the context of visualizing or considering a scenario.
• "Imagine" fits well as it denotes the act of forming a mental image or concept of something.
• Other options ("ignore", "neglect", "fabricate") do not fit the context of considering the hypothetical absence of humans.

Therefore, the correct answer is Option 1)

The correct answer is Option 1)

 

Key Points

• The passage discusses the significant role of human beings in using and creating resources and environments.
• The appropriate verb should fit well with the context of utilizing or making use of resources.
• "Utilised" fits well as it denotes the act of making practical and effective use of something.
• Other options ("broken", "crippled", "destroyed") do not fit the context of the constructive role humans play.

Therefore, the correct answer is Option 1.

The correct answer is Option 2)

 

Key Points

• The passage discusses the important role of people in developing the economy and society.
• The appropriate adjective should reflect the importance of people's role.
• "Crucial" fits well as it denotes something of great importance or essentiality.
• Other options ("frantic", "hopeful", "hasty") do not fit the context of describing the essential role of people in development.

Therefore, the correct answer is Option 2)

The correct answer is Option 2)

 

Key Points

• In the context of the passage, the term needs to reflect the diverse qualities that human resources can possess.
• "Varying" is the most appropriate choice because it indicates differences or variations in quality.
• Other options ("alternating", "inconstant", "deviating") do not accurately describe the diverse qualities of human resources in this context.

Therefore, the correct answer is Option 2)

The correct answer is 'invent'.

 

Key Points

• The passage discusses the role of human beings in turning raw materials and opportunities into valuable resources.
• The appropriate verb should indicate the creation of something useful from basic elements.
• "Invent" fits well as it denotes the creation or discovery of a product or technique, aligning with the context of making coal a resource through technology.
• Other options ("open", "fashion", "mint") do not fit as precisely in the context.

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: Today, let's explore the significant role of human beings in shaping the world as we know it. Can you 1. imagine a world without human beings? Who would have 2. utilized the resources and created social and cultural environments? The people are 3. essential to develop the economy and the society. The people make and use resources and are themselves resources with 4. unique quality. Coal is but a piece of rock, until people were able to 5. invent technology to obtain it and make it a ‘resource’.

The correct answer is Option 3)

Key Points

• The word "varant" is misspelled and does not have a meaning in English. (यह अंग्रेजी में कोई अर्थ नहीं रखता)
• Example: The police issued a varant to the criminals. (Incorrect usage)
• "Warrant" refers to a legal document issued by a court or legal authority authorizing the police to make an arrest, search premises, or carry out some other action relating to the administration of justice. (वारंट)
• Example: The police issued a warrant to arrest the suspect.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Varrant (वैरंट): This is a misspelling and does not have a meaning in English.
• Example: The police issued a varrant to the criminals. (Incorrect usage)
• Warent (वारेंट): This is a misspelling and does not have a meaning in English.
• Example: The police issued a warent to the criminals. (Incorrect usage)
• Warant (वारंट): This is a misspelling and does not have a meaning in English.
• Example: The police issued a warant to the criminals. (Incorrect usage)

The correct answer is Option 2)

Key Points

• The phrase "make the bed" means to arrange the bedclothes neatly on the bed. (बिस्तर ठीक करना)
• Example: Every morning, she makes the bed before leaving for work.
• "Make" refers to the act of forming something by putting parts together or combining substances. (बनाना)
• Example: He makes a delicious cake every Sunday.

Therefore, the correct answer is 'Option 2.'

Additional Information

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

• Wash the bed (बिस्तर धोना): This phrase is incorrect because we do not wash the entire bed, only the bed linens or sheets.
• Example: She washed the bed sheets every week.
• Run the bed (बिस्तर चलाना): This phrase does not make sense in English and is not used.
• Example: There is no correct usage for this phrase.
• Turn the bed (बिस्तर घुमाना): This phrase is not appropriate in the context of making a bed.
• Example: The phrase is not commonly used.

The correct answer is Option 3)

Key Points

• The word "jovial" means cheerful and friendly. (मिलनसार और हंसमुख)
• Example: His jovial laugh could brighten anyone's day.
• "Miserable" refers to someone who is very unhappy or uncomfortable. (दुखी और असहज)
• Example: She felt miserable after hearing the bad news.

Hence, we can infer that the opposite of 'jovial' is 'miserable'.

Additional Information

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

• Cunning (चालाक): Having or showing skill in achieving one's ends by deceit or evasion.
• Example: The cunning fox easily outwitted the hunters.
• Shrewd (चतुर): Having or showing sharp powers of judgment; astute.
• Example: He is a shrewd businessman who always gets the best deals.
• Dumb (मूर्ख): Lacking intelligence or common sense.
• Example: It was a dumb mistake to leave the keys inside the car.

The correct answer is Option 1)

Key Points

• The word "Change" means to make or become different; to replace something with something else. (बदलाव करना)
• Example: She decided to change her hairstyle for the summer.
• "Alter" refers to making a small change or adjustment to something. (बदलना)
• Example: He had to alter his plans due to unexpected circumstances.
• Hence, we can infer that the most appropriate synonym of "Change" is "Alter".

Therefore, the correct answer is Option 1)

Additional Information

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

• Adjust (समायोजित करना): To change something slightly to make it more suitable.
• Example: She had to adjust the mirror to see the road behind her.
• Resolute (दृढ़): Admirably purposeful, determined, and unwavering.
• Example: He was resolute in his decision to quit smoking.
• Renew (नवीकरण करना): To resume an activity after an interruption or to make something new again.
• Example: She decided to renew her subscription to the magazine.

The correct answer is Option 2)

Key Points

• The word "Absurd" means something that is wildly unreasonable, illogical, or inappropriate. (मूर्खतापूर्ण)
• Example: The idea that the earth is flat is completely absurd.
• "Reasonable" refers to something that is fair, sensible, and logically sound. (उचित)
• Example: Her proposal for reducing costs was very reasonable.

Hence, we can infer that the opposite of 'Absurd' is 'Reasonable'.

Additional Information

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

• Insane (पागल): Refers to someone who is severely mentally ill or extremely foolish.
• Example: It would be insane to drive in this storm.
• Nonsensical (बेमानी): Refers to something that makes no sense; absurd or foolish.
• Example: His explanation was so nonsensical that no one believed him.
• Foolish (मूर्ख): Lacking good sense or judgment; unwise.
• Example: It was foolish of him to ignore the warning signs.

The correct answer is Option 4)

Key Points

• The word "Lazy" means unwilling to work or use energy; characterized by lack of effort or activity. (आलसी)
• Example: He was too lazy to get out of bed and missed the entire morning class.
• "Diligent" refers to showing care and conscientiousness in one's work or duties. (परिश्रमी)
• Example: She is a diligent student, always completing her assignments on time and with great detail.

Hence, we can infer that the opposite of 'Lazy' is 'Diligent'.

Additional Information

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

• Genuine (असली): Truly what something is said to be; authentic.
• Example: She was praised for her genuine concern for her colleagues.
• Barren (बंजर): Too poor to produce much or any vegetation; unproductive.
• Example: The barren land stretched for miles with no sign of greenery.
• Helpful (सहायक): Giving or ready to give help.
• Example: The staff at the hotel were very helpful and made our stay comfortable.

The correct answer is Option 2)

Key Points

• The word "clumsy" means awkward in movement or handling things. (अनाड़ी)
• Example: He is so clumsy that he often drops his phone.
• "All thumbs" refers to being clumsy or awkward, especially with one's hands. (अनाड़ी)
• Example: Whenever he tries to fix something, he is all thumbs and makes it worse.

Hence, we can infer that the phrase 'all thumbs' is an appropriate substitute for 'clumsy'.

Additional Information

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

• Easy handed (सहज हाथों वाला): This term isn't commonly used in English to describe someone's dexterity or skill.
• Heavy duty (भारी काम): Refers to something that is designed to withstand hard use or great strain.
• Example: This is a heavy-duty machine that can handle intense workloads.
• Master skill (मास्टर कौशल): Refers to having a high level of proficiency or expertise in a particular skill.
• Example: She has master skill in playing the violin.

The correct answer is Option 2)

Key Points

• The word "Accept" means to consent **to receive or undertake something offered. (**स्वीकार करना)
• Example: She accepted the job offer with enthusiasm.
• "Agree" refers to having the same opinion about something; to consent or to say yes. (सहमत होना)
• Example: They agreed to meet at the cafe at 5 PM.

Hence, we can infer that the appropriate meaning of 'Accept' is 'Agree'.

Additional Information

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

• Regret (अफसोस): To feel sad or disappointed over something.
• Example: He regretted not attending the meeting.
• Refuse (मना करना): To indicate or show that one is not willing to do something.
• Example: She refused to answer the question.
• Present (उपस्थित): To give something to someone formally or ceremonially.
• Example: He presented the award to the winner.

The correct answer is Option 1)

Key Points

• The word "Scatered" is incorrectly spelt; the correct spelling is "Scattered". (बिखरा हुआ)
• Example: The papers were scattered all over the floor.
• "Scattered" means spread or thrown over a large area. (बिखरा हुआ)
• Example: The leaves were scattered by the wind.

Therefore, the correct answer is Option 1)

Additional Information

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

• Crowded (भीड़भाड़): Full of people, leaving little or no room for movement.
• Example: The subway was so crowded that I could hardly move.
• Imprudent (अविवेकी): Not showing care for the consequences of an action; rash.
• Example: It was imprudent of him to invest all his money in one stock.
• Brazen (बेशर्म): Bold and without shame.
• Example: His brazen disregard for the rules shocked everyone.

The correct answer is Option 4)

Key Points

• The word "dew" means tiny drops of water that form on cool surfaces during the night, especially on grass and plants. (ओस)
• Example: The morning dew on the leaves sparkled in the sunlight.
• "dew" refers to the moisture that appears on surfaces in the early morning due to condensation. (ओस)
• Example: The grass on my lawn is glistening with the morning dew.

Therefore, the correct sentence is: The grass on my lawn is glistening with the morning dew.

Additional Information

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

• Do (करना): To perform an action or task.
• Example: I have many tasks to do today.
• Due (देय): Expected at a certain time.
• Example: The assignment is due tomorrow.
• Duo (जोड़ी): A pair of people or things.
• Example: The singing duo performed beautifully at the concert.

The correct answer is Option 2)

Key Points

• The word "wake" means to stop sleeping; to rouse from sleep. (जागना)
• Example: I usually wake up at 6 AM every day.
• "woke" is the past tense of "wake," which means it indicates an action that has already happened. (जाग गया)
• Example: She woke up early to catch the sunrise.

Therefore, the correct answer is Option 2)

Additional Information

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

• Option 1: has woke me up (जाग गया है): Incorrect use of tense. "Has woke" should be "has woken."
• Example: Incorrect: The alarm has woke me up.
• Correct: The alarm has woken me up.
• Option 3: wakes me up (जगाता है): Incorrect tense for the context. "Wakes" is present tense.
• Example: The loud noise wakes me up every morning.
• Option 4: woken me up (जगाया है): Incorrect without auxiliary verb. Correct form is "has woken me up."
• Example: She has woken me up every day this week.

The correct answer is Option 2)

Key Points

• The word "crux" means the central theme or point.
• Example: The crux of the matter is that attitudes have changed.
• "Central point" refers to the most important or main point of something. (मुख्य बिंदु)
• Example: The central point of the meeting was to discuss the new project timeline.

Hence, we can infer that the correct replacement for 'crux' in the context of the sentence is 'central point'.

Additional Information

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

• Collected data (संग्रहित डेटा): Information that has been gathered for analysis.
• Example: The researcher analyzed the collected data to draw conclusions.
• Relevant part (संबंधित हिस्सा): A section that is pertinent or applicable.
• Example: Please focus on the relevant part of the report for your presentation.
• Fixed limitation (निर्धारित सीमा): A set boundary or restriction.
• Example: The experiment was conducted within a fixed limitation of time and resources.

The correct answer is Option 2)

Key Points

• The word "Plausible" means something that appears to be reasonable or probable. (सम्भाव्य)
• Example: Her explanation seemed plausible, so we believed her.
• "Unlikely" refers to something that is not probable or expected to happen. (असंभव)
• Example: It is unlikely that it will rain today.

Hence, we can infer that the opposite of 'Plausible' is 'Unlikely'.

Additional Information

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

• Trend (प्रवृत्ति): A general direction in which something is developing or changing.
• Example: The trend of remote work has increased significantly.
• Foreseeable (पूर्वानुमेय): Able to be foreseen or predicted.
• Example: We don't expect any changes in the foreseeable future.
• Future (भविष्य): The time yet to come.
• Example: We need to plan for the future.

The correct answer is Option 2)

Key Points

• The idiom "queered my pitch" means to spoil someone's plans or chances of success. (मेरी योजना को बर्बाद कर दिया)
• Example: Just when I was about to finalize the deal, an unexpected problem queered my pitch.
• "Ruined my plan" refers to the act of destroying or spoiling a plan or intention. (मेरी योजना को बर्बाद कर दिया)
• Example: The sudden rainstorm ruined my plan for a picnic.

Therefore, the correct answer is: Option 2 i.e. Ruined my plan.

Additional Information

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

• Advised me (मुझे सलाह दी): Provided guidance or recommendations.
• Example: My mentor advised me to invest in stocks for better returns.
• Supported me with money (मुझे पैसे से समर्थन दिया): Provided financial assistance.
• Example: My parents supported me with money to start my own business.
• Helped me by standing beside me (मेरे साथ खड़े होकर मेरी मदद की): Provided emotional or moral support.
• Example: My best friend helped me by standing beside me during tough times.

The correct answer is Option 2)

Key Points

• The idiom "spill the beans" means to reveal a secret or disclose information that was meant to be kept confidential. (राज़ खोलना)
• Example: John couldn't keep it to himself any longer and spilled the beans about the surprise party.
• "To leak a secret" implies divulging confidential information to someone who is not supposed to know it. (गुप्त जानकारी लीक करना)
• Example: She accidentally leaked the secret of the new project to the competitor.

Therefore, the correct answer is 'Option 2.'

Additional Information

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

• Cook the beans carefully (बीन्स को सावधानी से पकाना): This option is literal and does not relate to the idiom.
• Example: Make sure to cook the beans carefully to avoid them getting burnt.
• To help someone extraordinarily (किसी की असाधारण रूप से मदद करना): This option is unrelated to the idiom's meaning.
• Example: She went out of her way to help someone extraordinarily during the crisis.
• The act of loving beans (बीन्स से प्यार करने का कार्य): This option is completely irrelevant to the idiom's meaning.
• Example: His act of loving beans was evident in his daily diet.

The correct answer is Option 2)

Key Points

• The word "play" means to engage in an activity for enjoyment and recreation rather than a serious or practical purpose. (खेलना)
• Example: Children love to play in the park.
• "Playing cards" refers to the activity of using a set of cards for games, gambling, or magic tricks. (ताश खेलना)
• Example: Playing cards is a common pastime during family gatherings.

Hence, the phrase 'Playing cards' correctly substitutes the underlined segment in the sentence.

Additional Information

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

• Playing card (ताश का पत्ता): Refers to a single card from a deck used for playing games.
• Example: He picked a playing card from the deck.
• Play card (ताश खेलना): Incorrect form for the context of the sentence.
• Example: Incorrect usage: Play card is not allowed here.
• Played cards (ताश खेली): Refers to the past action of playing cards.
• Example: They played cards all night.

Given Equation: 321 A 3 C 11 B 10 D 19 = ?

BODMAS Rule:

Decoding the given information:

 

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

⇒ 321 ÷ 3 + 11 × 10 - 19 = ?

⇒ 107 + 11 × 10 - 19 = ?

⇒ 107 + 110 - 19 = ?

⇒ 217 - 19 = 198.

Hence, the correct option is "Option 1".

Logic: 

Second and fourth letters → (2) and (4) are added to the second and fourth letters position values according to the English alphabetic series respectively.

First and Third letter → (1) and (3) are subtracted from the position values according to the English alphabetic series.

​​So,

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

Given : 32 × 8 ÷ 4 - 6 + 15 = ? 

According to the question, after replacing the signs :

‘+’ and ‘-’ are interchanged and,

‘×’ and ‘÷’ are interchanged

So,​​

32 × 8 ÷ 4 - 6 + 15 = ? ⇒ 32 ÷ 8 × 4 + 6 - 15 = ? 

32 ÷ 8 × 4 + 6 - 15 = ?

4 × 4 + 6 - 15 = ?

16 + 6 - 15 = ?

22 - 15 = ?

7 = ?

Hence, "7" is the correct answer.

According to the given figure:

The figure will appear when it is opened as follows:

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

Decoding the Symbols:

Given: P ÷ Q ÷ R × S + T 

P ÷ Q → P is the daughter of Q.

Q ÷ R → Q is the daughter of R.

R × S → R is the husband of S.

​

S + T → S is the mother of T.

Here, Q is the sister of T.

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

The correct mirror image of the given figure is:

​​​​

Hence, the correct answer is "Option 1".

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

‘WILT’ is coded as ‘6194’

And,

‘SLIT’ is coded as ‘9413’

As, 'I', 'L', and 'T' are common, therefore it can be concluded that :

W is coded as → 6

S is coded as → 3

So, the code for 'S' is '3'.

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

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

∴ Here, the given figure is embedded in option Figure - 2.

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

The correct mirror image of the given figure is:

​​​​​

Hence, the correct answer is "Option 1".

Decoding the Symbols:

Given: A + J - B * V % G 

A + J → A is the husband of J.

J - B  → J is the mother of B.

B * V → B is the sister of V.

​

V % G → V is the father of G.

Here, A is the parental grandfather of G.

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

Logic : (17) is added to each number subsequently.

Hence, "336" is the correct answer.

The logic followed here is:

Logic: (1^st number²) = 2^nd number; 2^nd number × 2 = 3^rd number.

Now,

For, (4, 16, 32)

⇒ (4²) = 16 and 16 × 2 = 32.

For, (6, 36, 72)

⇒ (6²) = 36 and 36 × 2 = 72.

Similarly, for (9, 81, 162)

⇒ (9²) = 81 and 81 × 2 = 162.

Hence, the correct answer is "Option 1".

Logic : Differences multiplied by (3) are subtracted from each number subsequently.

Hence, "436" is the correct answer.

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

Conclusions:

I. All movies can never be audios → Follow (As some movies are videos and no video is audio. As some parts of movie are common with videos which can not be audio therefore all movies can never be audios is true)

II. No video is a song → Does not follow (As no video is audio and all Audio is song. So, no direct relation is given between video and song therefore it is false.)

∴ Here, Only conclusion I follow.​

Hence, the correct answer is "Only conclusion I follows"

Logic: (2), (4), and (6) 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.

Logic: (4) is added to the position values according to the English alphabetic series.

​​So,

BHJL is related to FLNP​ 

​And,

HNPR is related to LRTV

​ 

​Similarly,

JPRT is related to

​ 

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

According to the given information,

Thus, according to the given codes 'kl' is the code for the word 'us'.

Hence, the correct answer is "kl".

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)".

The logic followed here is:

Logic: (1^st number ÷ 4) = 2^nd number.

Now,

For, 84 : 21

⇒ (84 ÷ 4) = 21.

For, 180 : 45

⇒ (180 ÷ 4) = 45.

Similarly, for 252 ∶ ?

⇒ (252 ÷ 4) = 63.

Hence, the correct answer is "Option 1".

The logic followed here is :

1) For the left top number series → Increasing squares of the number series pattern are followed here.

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

3. For the right corner number series → Consecutive multiples of (2) are added to each number subsequently.

4. For '

' element → No change.

 

Thus, the final series is :

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

Given word: 'HARMONY'

After arranged in alphabetical order:

 

Now,

there are Two alphabets "O" and "Y" that will remain unchanged if each of the letters in the word 'HARMONY' is arranged in English alphabetical order.

Hence, the correct answer is "Option 4".

Given : 39 ÷ 6 - 3 × 9 + 4 = ? 

According to the question, after replacing the signs :

‘+’ and ‘×’ are interchanged and,

‘-’ and ‘÷’ are interchanged

So,​​

39 ÷ 6 - 3 × 9 + 4 = ? ⇒ 39 - 6 ÷ 3 + 9 × 4 = ? 

39 - 6 ÷ 3 + 9 × 4 = ?

39 - 2 + 9 × 4 = ?

39 + 36 - 2 = ?

75 - 2 = ?

73 = ?

Hence, "73" is the correct answer.

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

Here, as marked there are a total of 16 triangles.

Hence, "16" is the correct answer.

Given: 1 January 2006 was Wednesday.

Now,

1 January 2006 to 1 January 2007 = 1 year (not a leap year)

Therefore, 1 January 2007 will be Wednesday + 1 = Thursday,

But, we need to find the day on 31 December 2006 which is 1 day before Thursday.

So, 31 December 2006 will be Thursday - 1 = Wednesday.

Hence, the correct answer is "Option 1".

Logic: (7) is subtracted from the position values according to the English alphabetic series.

​​So,

CKMZ is related to VDFS

​ 

​And,

LPBV is related to EIUO

​ 

​Similarly,

UXBN is related to

​ 

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

Given:

First Term (a) = 1.25

Second Term (b) = 5.75

Third Term (c) = 3.5

Formula used:

Fourth Proportion (d) = $\dfrac{b \times c}{a}$

Calculation:

d = $\dfrac{5.75 \times 3.5}{1.25}$

⇒ d = $\dfrac{20.125}{1.25}$

⇒ d = 16.1

∴ The fourth proportion is 16.1.

Given:

In ΔABC, O is the point of intersection of the bisectors of ∠B and ∠A

∠BOC = 108° 

Concept used:

If the bisector of ∠ABC and ∠ACB of a triangle ABC meet at a point O then, ∠BOC = 90° + $\frac{1}{{2}}$∠A

Angle bisector theorem - An angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

Calculation:

If the bisector of ∠ABC and ∠ACB of a triangle ABC meet at a point O then, ∠BOC = 90° + $\frac{1}{{2}}$∠A

⇒ 108° = 90° + $\frac{1}{{2}}$∠A

⇒ $\frac{1}{{2}}$∠A = (108° – 90°)

⇒ $\frac{1}{{2}}$∠A = 18° 

⇒ ∠A = 36° 

Now,

We know that, an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

So,

⇒ ∠BAO = $\frac{∠ A}{{2}}$

⇒ ∠BAO = $\frac{36}{{2}}$

⇒ ∠BAO = 18° 

∴ The value of ∠BAO = 18° 

Confusion Points Bisector of ∠A, ∠B and ∠C will intersect at a single point i.e O.

Given:

Let ABC be a right-angled triangle such that ∠C = 90º. Let D be a point on AB such that CD is perpendicular to AB. If AC = 5 cm and BC = 12 cm, find the length of CD (in cm).

Formula used:

Using the area method for right-angled triangles:

Area of ΔABC = Area of ΔACD + Area of ΔBCD

Calculation:

Area of ΔABC = (1/2) × AC × BC

⇒ Area = (1/2) × 5 × 12

⇒ Area = 30 cm²

Let AB = c. By Pythagoras theorem:

c² = AC² + BC²

⇒ c² = 5² + 12²

⇒ c² = 25 + 144

⇒ c² = 169

⇒ c = 13 cm

Area of ΔABC can also be written as:

(1/2) × AB × CD = 30

⇒ (1/2) × 13 × CD = 30

⇒ 13 × CD = 60

⇒ CD = 60 / 13

∴ The correct answer is option 2.

Given:

Diameter of roller = 35 cm

Radius of roller (r) = 35/2 cm

Length of roller (h) = 100 cm

Number of revolutions = 200

Formula used:

Curved Surface Area (CSA) of Cylinder = 2πrh

Area of playground = CSA × Number of revolutions

Calculation:

Radius (r) = 35/2 = 17.5 cm

Length (h) = 100 cm

CSA of roller = 2πrh

⇒ CSA = 2 × 22/7 × 17.5 × 100

⇒ CSA = 2 × 22/7 × 1750

⇒ CSA = 11,000 cm²

Area of playground = CSA × Number of revolutions

⇒ Area = 11,000 × 200

⇒ Area = 2,200,000 cm²

⇒ Area in m² = 2,200,000 / 10000

⇒ Area = 220 m²

∴ The correct answer is option 1 (220 m²).

Given:

The bar graph shows the export of Pearls (in crores of rupees) for the years 2013 to 2019.

Formula used:

Calculate the average export and compare each year's export with the average.

Calculation:

Total export from 2013 to 2019:

9.9 + 10.8 + 7.8 + 5.2 + 6.5 + 9.5 + 11.4 = 61.1 crores

Average export = Total export / Number of years

⇒ Average export = 61.1 / 7 ≈ 8.73 crores

Years where export was above average:

2013: 9.9 (Above average)

2014: 10.8 (Above average)

2018: 9.5 (Above average)

2019: 11.4 (Above average)

Total years with above-average export = 4

∴ The correct answer is option 3) 4.

Given:

Area of first triangle (A₁) = 490 sq. cm

Area of second triangle (A₂) = 640 sq. cm

Length of one side of the first triangle (S₁) = 21 cm

Formula used:

For similar triangles, the ratio of the areas is equal to the square of the ratio of the corresponding sides.

$\dfrac{A_1}{A_2} = \left(\dfrac{S_1}{S_2}\right)^2$

Calculation:

$\dfrac{490}{640} = \left(\dfrac{21}{S_2}\right)^2$

⇒ $\dfrac{49}{64} = \left(\dfrac{21}{S_2}\right)^2$

⇒ $\dfrac{7}{8} = \dfrac{21}{S_2}$

⇒ S₂ = $\dfrac{21 \times 8}{7}$

⇒ S₂ = 24 cm

∴ The correct answer is option (1).

Given:

X and Y can do the job in 18 days

Y and Z can do the job in 24 days

X, Y, and Z together can do the job in 12 days

Formula used:

Work done by X and Y in 1 day = 1/18

Work done by Y and Z in 1 day = 1/24

Work done by X, Y, and Z in 1 day = 1/12

Work done by X and Z in 1 day = Work done by (X, Y, and Z) - Work done by Y

Calculation:

Let the work done by X, Y, and Z in one day be 1/D.

So, 1/D = 1/12

First, find the individual work done by Y in 1 day:

Work done by Y in 1 day = 1/18 + 1/24 - 1/12

⇒ Work done by Y = 4/72 + 3/72 - 6/72

⇒ Work done by Y = 1/72

Now,

work done by X and Z in 1 day

= Work done by (X, Y, and Z) - Work done by Y

⇒ 1/12 - 1/72

⇒ (6 - 1)/72

⇒ 5/72

So, time required by x and z to complete the work = 72/5 =  days

∴ X and Z can complete the job in days.

Given:

A person spends 60% of his salary on family expenses, 10% on medical expenses, 5% on charity, and saves the remaining amount.

Savings = ₹4,000

Formula used:

Total Expenses = 60% + 10% + 5% = 75%

Savings = 100% - Total Expenses = 25%

Salary × 25% = Savings

Calculation:

Let the monthly salary be ₹X

X × 25% = ₹4,000

⇒ X × 0.25 = ₹4,000

⇒ X = ₹4,000 / 0.25

⇒ X = ₹16,000

∴ The correct answer is option 2.

Given:

The number of students who have failed in different numbers of subjects is given in the table:

No. of subjects in which students have failed: 0, 1, 2, 3, 4, 5

No. of students: 10, 18, 5, 6, 7, 4

Formula used:

Total number of students who have failed in more than 3 subjects = Number of students who failed in 4 subjects + Number of students who failed in 5 subjects

Calculation:

Number of students who failed in 4 subjects = 7

Number of students who failed in 5 subjects = 4

Total students = 7 + 4

⇒ Total students = 11

∴ The correct answer is option 1) 11.

Given:

The whole surface area of a cube is 294 cm².

Formula used:

Surface area of a cube = 6a²

Volume of a cube = a³

Calculation:

6a² = 294

⇒ a² = 294 / 6

⇒ a² = 49

⇒ a = √49

⇒ a = 7 cm

Volume of the cube = a³

⇒ Volume = 7³

⇒ Volume = 343 cm³

∴ The correct answer is option (2).

Given:

Number = 14,400

Divisor = 18

Not Divisible by = 36

Formula used:

Number of factors = (e₁ + 1)(e₂ + 1)...(e_n + 1), where e_i are the exponents in the prime factorization.

Calculations:

Prime factorization of 14,400:

14,400 = 2⁶ × 3² × 5²

Prime factorization of 18:

18 = 2 × 3²

Prime factorization of 36:

36 = 2² × 3²

Factors of 14,400 divisible by 18:

2ⁿ × 3² × 5^m, where n ≥ 1, m ≥ 0

Factors of 14,400 divisible by 36:

2ⁿ × 3² × 5^m, where n ≥ 2, m ≥ 0

Count factors divisible by 18 but not by 36:

For n=1, m can be 0, 1, or 2

⇒ Total factors = 3

∴ The correct answer is option (2).

Given:

Last year's price = $750

Percentage increase = 20%

Formula used:

This year's price = Last year's price + (Last year's price × Percentage increase)

Calculation:

This year's price = 750 + (750 × 20%)

⇒ This year's price = 750 + (750 × 0.20)

⇒ This year's price = 750 + 150

⇒ This year's price = 900

∴ The correct answer is option 4.$

Given:

Raman's total monthly income = ₹ 45,000

House Rent = 25% of income

Food = 20% of income

Children's Education = 20% of income

Formula used:

Remaining income = Total income - (House Rent + Food + Children's Education)

Calculation:

House Rent = 25% of 45,000 = ₹ 11,250

Food = 20% of 45,000 = ₹ 9,000

Children's Education = 20% of 45,000 = ₹ 9,000

Total expenses on House Rent, Food, and Children's Education = ₹ 11,250 + ₹ 9,000 + ₹ 9,000 = ₹ 29,250

Remaining income = ₹ 45,000 - ₹ 29,250 = ₹ 15,750

∴ The correct answer is option 3) ₹ 15,750.

Shortcut Trick

Net Multiplier = (100 + Buy Cheat%) / (100 − Sell Cheat%) × (100 + Profit%) / 100

Net Multiplier = (125 / 75) × (112.5 / 100)

Net Multiplier = (5 / 3) × (9 / 8) = 15 / 8 = 1.875

Net Profit = 1.875 − 1 = 0.875

∴ The correct option is A.

Alternate Method

Given:

Buying cheat = 25% | Selling cheat = 25% | Stated Profit = 12.5%

Formula Used:

Effective Profit Multiplier = (Actual Weight Received / Price Paid Weight) × (Price Charged Weight / Actual Weight Delivered) × (1 + Profit%)

Buy: 125g Get 25% Extra

Sell: 75g Give 25% Less

Profit: 12.5% On Price

Net Profit Factor = (125/75) × 1.125 Total Multiplier = 1.875

Let the cost price of 1000g be Rs. 1000 (1g = Rs. 1).

⇒ While buying, he gets 1250g for Rs. 1000.

⇒ Effective CP per gram = 1000 ÷ 1250 = Rs. 0.8

⇒ While selling, he gives only 750g but charges for 1000g.

⇒ Selling Price charged = 1000 + 12.5% of 1000 = Rs. 1125

⇒ Effective SP per gram sold = 1125 ÷ 750 = Rs. 1.5

⇒ Profit per gram = SP − CP = 1.5 − 0.8 = 0.7

⇒ Profit percentage (in decimals) = Profit ÷ CP = 0.7 ÷ 0.8

⇒ Profit = 0.875

∴ The correct answer is 0.875.

Additional Information

Dishonest Dealer Formula

Profit % = [(True Weight − False Weight) ÷ False Weight] × 100. If price is also marked up, combine using the multiplier method.

Multiplier Method for Successive Changes

Final Value = Initial Value × M₁ × M₂ × M₃. Here, multipliers are calculated for each cheating and profit instance.

Buying vs Selling Cheat

Cheating x% while buying means getting (100+x) for 100. Cheating x% while selling means giving (100−x) while charging for 100.

Formula used:

tan (A +B) = (tan A + tan B)/(1 - tan A. tan B)

Calculation:

$\left[\frac{\operatorname{cosec} 31^{\circ}-\sec 59^{\circ}}{\left(\sin 18^{\circ} \div \cos 72^{\circ}\right)} \times \frac{\tan 26^{\circ}}{\cot 64^{\circ}}\right]+\left[\frac{\tan 30^{\circ}+\tan 15^{\circ}}{\left(1-\tan 30^{\circ} \tan 15^{\circ}\right)}\right]$

⇒ $\left[\frac{\operatorname{cosec} 31^{\circ}-\sec (90 - 31)^{\circ}}{\left(\sin 18^{\circ} \div \cos 72^{\circ}\right)} \times \frac{\tan 26^{\circ}}{\cot 64^{\circ}}\right]$ + tan (30° + 15°)

⇒ $\left[\frac{\operatorname{cosec} 31^{\circ}- \operatorname{cosec} 31^{\circ}}{\left(\sin 18^{\circ} \div \cos 72^{\circ}\right)} \times \frac{\tan 26^{\circ}}{\cot 64^{\circ}}\right]$ + tan 45°

⇒ $\left[\frac{0}{\left(\sin 18^{\circ} \div \cos 72^{\circ}\right)} \times \frac{\tan 26^{\circ}}{\cot 64^{\circ}}\right]$ + tan 45°

⇒ 0 + 1 = 1

∴ The correct answer is option (3).

Given:

K being any odd number greater than 1, k³³ - k is always divisible by:

Formula used:

Use the difference of cubes and the fact that K is an odd number.

Calculation:

Consider k³³ - k = k(k³² - 1).

Now, k³² - 1 can be factored as:

(k¹⁶ - 1)(k¹⁶ + 1).

Further factor k¹⁶ - 1:

(k⁸ - 1)(k⁸ + 1)(k¹⁶ + 1).

Similarly, k⁸ - 1 can be factored as:

(k⁴ - 1)(k⁴ + 1)(k⁸ + 1).

Finally, k⁴ - 1 can be factored as:

(k² - 1)(k² + 1)(k⁴ + 1).

Since k is odd, k² - 1 is divisible by 8.

Also, k - 1 is divisible by 2.

Therefore, k³³ - k is divisible by 24.

∴ The correct answer is option 3) 24.

Given:

∠ABC = 70º

∠ACB = 50º

Formula used:

In a triangle, the sum of the angles is 180º.

∠A + ∠B + ∠C = 180º

For the incentre, ∠BOC = 90º + (∠A/2)

Calculation:

∠A = 180º - (∠ABC + ∠ACB)

⇒ ∠A = 180º - (70º + 50º)

⇒ ∠A = 60º

Now, ∠BOC = 90º + (∠A/2)

⇒ ∠BOC = 90º + (60º/2)

⇒ ∠BOC = 90º + 30º

⇒ ∠BOC = 120º

∴ The correct answer is option (1).

Given:

A person divides his total route of journey into three equal parts and decides to travel the three parts at the speeds of 80 km/h, 60 km/h and 30 km/h, respectively.

Formula used:

Average Speed = Total Distance / Total Time

Calculation:

Let total distance be 3D (since route is divided into three equal parts, each of distance D)

Time taken for first part = D / 80

Time taken for second part = D / 60

Time taken for third part = D / 30

Total Time = (D / 80) + (D / 60) + (D / 30)

⇒ Total Time = D (1/80 + 1/60 + 1/30)

⇒ Total Time = D (3/240 + 4/240 + 8/240)

⇒ Total Time = D (15/240)

⇒ Total Time = D / 16

Total Distance = 3D

Average Speed = Total Distance / Total Time

⇒ Average Speed = 3D / (D / 16)

⇒ Average Speed = 3D × 16 / D

⇒ Average Speed = 48 km/h

∴ The correct answer is option (3).

Given:

A person travels from one place to another at 60 km/hr and returns at 75 km/hr. The total time taken is 6 hours.

Formula used:

Let the distance between the two places be x km.

Time = Distance / Speed

Total Time = Time taken to travel to the destination + Time taken to return

Calculation:

$\dfrac{x}{60} + \dfrac{x}{75}$ = 6

⇒ $\dfrac{5x + 4x}{300}$ = 6

⇒ $\dfrac{9x}{300}$ = 6

⇒ 9x = 1800

⇒ x = 200 km

Total distance = $2 \times 200$ = 400 km

∴ The correct answer is option (3).

Shortcut Trick

Effective Discount Rate for two successive discounts a% and b% = (a + b − ab/100)%

Successive Rate = 23 + 7 − (23 × 7)/100 = 30 − 1.61 = 28.39%

Difference in percentage = 37% − 28.39% = 8.61%

Difference in value = 8.61% of ₹2,635 = 0.0861 × 2,635 = 226.8735

∴ The correct answer is ₹226.87.

Alternate Method

Given:

Principal Amount (MP) = ₹2,635

First Discount Case = 37%

Second Discount Case = 23% and 7% (successive)

Calculations:

⇒ Case 1 Discount = 37% of 2,635 = (37/100) × 2,635 = ₹974.95

⇒ Case 2 Equivalent Discount = 23 + 7 − (23 × 7 / 100)%

⇒ Effective Rate = 30 − 1.61 = 28.39%

⇒ Case 2 Discount = 28.39% of 2,635 = (28.39/100) × 2,635 = ₹748.0765

⇒ Difference = 974.95 − 748.0765 = 226.8735

⇒ Rounding to 2 decimal places = ₹226.87

∴ The correct answer is ₹226.87.

Additional Information

Successive Discount Formula

For two successive discounts of x% and y%, the total single equivalent discount is given by [x + y − (xy/100)]%.

Comparison of Discounts

A single discount of (x + y)% is always higher than two successive discounts of x% and y% because of the subtraction factor (xy/100).

Selling Price Calculation

Selling Price = Marked Price × (100 − Discount%)/100. In successive cases, apply the multiplier multiple times.

Given:

W = Winner, R1 = 1^st runner-up, R2 = 2^nd Runner-up, N = NOTA

Winner = 2 ×  R2

R1 = N + 900

R1 - R2 = 150

W + R1 + R2 + N = Total number of votes

W + R1 + R2 = 6 × N

Formula used:

R1 = R2 + 150

R2 = N + 750

W = 2 × (N + 750)

Calculation:

⇒ W = 2N + 1500

⇒ R1 = N + 900

⇒ R2 = N + 750

⇒ (2N + 1500) + (N + 900) + (N + 750) + N = Total number of votes

⇒ 5N + 3150 = Total number of votes

⇒ (2N + 1500) + (N + 900) + (N + 750) = 6N

⇒ 4N + 3150 = 6N

⇒ 2N = 3150

⇒ N = 1575

⇒ Total number of votes = 5 × 1575 + 3150

⇒ Total number of votes = 7875 + 3150

⇒ Total number of votes = 11025

∴ The total number of votes polled is 11025.

Given:

The equation of the line is 20x + 21y = 420.

Formula used:

To find the intercepts on the axes:

For x-intercept: Put y = 0 in the equation.

For y-intercept: Put x = 0 in the equation.

Distance between two points (x₁, y₁) and (x₂, y₂):

d = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Calculation:

For x-intercept:

20x + 21(0) = 420

⇒ 20x = 420

⇒ x = 21

So, the x-intercept is (21, 0).

For y-intercept:

20(0) + 21y = 420

⇒ 21y = 420

⇒ y = 20

So, the y-intercept is (0, 20).

To find the distance PQ:

d = $\sqrt{(21 - 0)^2 + (0 - 20)^2}$

⇒ d = $\sqrt{21^2 + (-20)^2}$

⇒ d = $\sqrt{441 + 400}$

⇒ d = $\sqrt{841}$

⇒ d = 29

∴ The correct answer is option 1.

Given:

The altitude of an equilateral triangle is 3 √(3) cm.

Formula used:

For an equilateral triangle, the altitude (h) is given by:

h = a√(3)/2

Where, a = side of the equilateral triangle

Area of an equilateral triangle = (√(3)/4) × a²

Calculation:

3 √(3) = a√(3)/2

⇒ a = 6 cm

Area = (√(3)/4) × 6²

⇒ Area = (√(3)/4) × 36

⇒ Area = 9 √(3) sq cm

∴ The correct answer is option (3).

Given:

The production of cloths by Company A, B, and C in the years 2010, 2011, 2012, 2013, and 2014 is provided in the bar graph.

Formula used:

Average production = (Sum of production over the years) / (Number of years)

Ratio of average production of Company A to Company B = (Average production of A) : (Average production of B)

Calculation:

For Company A:

Production in 2012 = 25 lakh tonnes

Production in 2013 = 50 lakh tonnes

Production in 2014 = 40 lakh tonnes

Total = 25 + 50 + 40 = 115 lakh tonnes

Average production of Company A = 115 / 3 lakh tonnes

For Company B:

Production in 2012 = 35 lakh tonnes

Production in 2013 = 40 lakh tonnes

Production in 2014 = 50 lakh tonnes

Total = 35 + 40 + 50 = 125 lakh tonnes

Average production of Company B = 125 / 3 lakh tonnes

Ratio of average production (A : B) = $\frac{115}{3}$ : $\frac{125}{3}$

⇒ 23 : 25

∴ The correct answer is option 4) 23 : 25.

Given:

Principal (P) = ₹4,500

Rate (r) = 8% per annum

Time (t) = 4 years

Formula used:

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

Amount (A) = P + SI

Calculation:

SI = 4500 × 8 × 4 / 100

⇒ SI = 4500 × 32 / 100

⇒ SI = 1440

A = P + SI

⇒ A = 4500 + 1440

⇒ A = 5940

∴ The correct answer is option (4).

The correct answer is 2

Key Points

• Blue revolution is associated with fish.
• Yellow revolution pertains to oilseeds.
• Round revolution is linked to potato.
• Golden revolution refers to overall horticulture.

Additional Information

• The Blue Revolution aims to increase the production of fish and other aquatic life forms to ensure food security and improve the livelihoods of those involved in fisheries.
• The Yellow Revolution focuses on increasing the production of oilseeds to achieve self-sufficiency in edible oils.
• The Round Revolution is targeted at enhancing the production of potatoes, a staple food and an important cash crop.
• The Golden Revolution encompasses the overall development of horticulture, including fruits, vegetables, flowers, spices, and aromatic plants.

The correct answer is 1949

Key Points

• Hindi in Devanagari script was declared the official language of the Union of India in 1949.
• This declaration is enshrined in Article 343 of the Constitution of India.
• According to this article, Hindi in Devanagari script would be used for official purposes of the Union, while the international form of Indian numerals would be used for official purposes.
• The Constituent Assembly adopted this provision on 14^th September 1949, which is now celebrated as Hindi Diwas every year.
• The Constitution also allowed for the continued use of English for official purposes for a period of 15 years from the commencement of the Constitution, which could be extended by legislation.

Additional Information

• The Constitution of India was adopted by the Constituent Assembly on 26^th November 1949 and came into effect on 26^th January 1950.
• It establishes the structure, procedures, powers, and duties of government institutions, and sets out fundamental rights, directive principles, and the duties of citizens.
• The Constitution of India is the longest written constitution of any country in the world.
• It declares India a sovereign, socialist, secular, and democratic republic, assuring its citizens justice, equality, and liberty, and endeavors to promote fraternity.
• The Seventh Schedule of the Constitution contains three lists which delineate the subjects under the Union, State, and Concurrent lists.
• Amendments to the Constitution can be made through a process outlined in Article 368.

The correct answer is Shri N Rangaswamy

Key Points

• Shri N Rangaswamy is the current Chief Minister of Puducherry as of January 2023.
• He took office on May 7, 2021, succeeding the previous Chief Minister, Shri V Narayanasamy.
• Shri N Rangaswamy is associated with the political party All India N.R. Congress (AINRC).
• He has previously served as the Chief Minister of Puducherry from 2001 to 2008 and from 2011 to 2016.
• His leadership is noted for focusing on the development and welfare of the Union Territory.

Additional Information

• Puducherry, formerly known as Pondicherry, is a Union Territory of India. It comprises four small unconnected districts: Puducherry, Karaikal, Mahe, and Yanam.
• The Union Territory has a unique blend of Tamil and French cultures, reflecting its colonial past under French rule until 1954.
• The Chief Minister of Puducherry is the head of the government in the Union Territory, appointed by the Lieutenant Governor.

The correct answer is 11 April 2023

Key Points

• The Competition (Amendment) Bill, 2023 was passed by both the Lok Sabha and Rajya Sabha before receiving the President's assent.
• The President's assent was given on Tue Apr 11 2023 00:00:00 GMT+0530 (India Standard Time), making it the Competition (Amendment) Act, 2023.
• The Act introduces several changes aimed at enhancing the effectiveness of the Competition Commission of India (CCI).
• These amendments are expected to improve the regulatory framework and ensure a fair competitive environment in the market.
• The Act also includes provisions to simplify the procedure for approval of mergers and acquisitions.

Additional Information

• The Competition Act, 2002, which the Amendment Act seeks to update, was enacted to promote and sustain competition in markets, protect consumer interests, and ensure freedom of trade.
• The Competition Commission of India (CCI) is the regulatory body responsible for enforcing the Competition Act, 2002.
• The amendments are part of ongoing efforts to align the Act with changing economic conditions and international best practices.
• The Act covers various aspects of anti-competitive agreements, abuse of dominant position, and regulation of combinations.
• Stakeholders have broadly welcomed the amendments, noting that they will contribute to a more robust and dynamic economic environment.

The correct answer is 0.4 to 0.7 µm

Key Points

• The wavelength range of visible light is typically from 0.4 to 0.7 µm (micrometers).
• This range corresponds to the colors violet (at the shortest wavelength) to red (at the longest wavelength) within the visible spectrum.
• Visible light is the portion of the electromagnetic spectrum that is detectable by the human eye.
• Wavelengths shorter than 0.4 µm fall into the ultraviolet range, while wavelengths longer than 0.7 µm fall into the infrared range.
• Understanding the wavelength range of visible light is crucial in fields such as optics, photography, and astronomy.

Additional Information

• Isaac Newton was one of the first scientists to study the properties of light and to demonstrate that white light could be split into its component colors using a prism.
• The study of light and its interactions is known as optics, a branch of physics.
• The visible spectrum is just a small part of the entire electromagnetic spectrum, which includes other types of waves such as radio waves, microwaves, X-rays, and gamma rays.
• Technological applications that utilize the visible light spectrum include LED lighting, fiber optics, and lasers.
• The concept of wavelength is essential in understanding phenomena such as diffraction, interference, and the Doppler effect.

The correct answer is 7

Key Points

• The standard size of a basketball for men is size 7.
• Size 7 basketballs have a circumference of 29.5 inches (75 cm) and a weight of 22 ounces (620 grams).
• This size is used in professional, collegiate, and high school basketball leagues around the world.
• The size 7 basketball is designed to be used by players who are 15 years old and above.

Additional Information

• Basketballs come in different sizes to accommodate different age groups and levels of play.
• For women, the standard size of a basketball is size 6, which has a circumference of 28.5 inches (72 cm).
• Younger players often use smaller sizes like size 5 or size 4 to better fit their hand size and strength.
• Using the correct size of the basketball is crucial for the development of proper shooting and dribbling techniques.