SSC CHSL Tier-1 2024: Official Paper (Held On: 01 Jul, 2024 Shift 4) (Previous Year Paper)

The correct answer is '3' i.e. this part of the sentence has an error.

Key Points

• In the third part of the given sentence, the preposition 'of' is incorrect.
• The correct phrase should be 'Throw away' to make sense in this context.
• Correction: 'Throw away the old shoes; nobody will wear them now.

Hence, the correct answer is option 3.

The correct answer is '4' i.e. this part of the sentence has an error.

Key Points

• In the fourth part of the given sentence, the verb 'come' is incorrect.
• The correct form should be 'comes' to match the singular subject 'it.'
• Correction: 'When it comes to football, my brother is an addict.'

Hence, the correct answer is option 4.

The correct answer is '4' i.e. this part of the sentence is correct.

Key Points

• The fourth sentence correctly uses the indefinite article 'a' before the singular noun phrase 'fit of rage.'
• In English grammar, the indefinite article 'a' is used before words that begin with a consonant sound.
• The other options use articles incorrectly or omit them where necessary:
• Option 1 incorrectly uses 'the' instead of 'a'.
• Option 2 omits the article entirely, which is incorrect.
• Option 3 incorrectly uses 'an' instead of 'a' as 'fit' begins with a consonant sound.

Hence, the correct answer is option 4.

The correct answer is '4' i.e. This sentence correctly uses the present tense.

Key Points

• The fourth sentence correctly uses the simple present tense 'spends' to describe a habitual action.
• The other options are incorrect:
• Option 1 incorrectly uses 'has spend' instead of 'has spent' or 'spends'.
• Option 2 incorrectly uses 'spended'. The correct past tense is 'spent', but the sentence requires the present tense.
• Option 3 incorrectly uses 'had spend' instead of 'had spent' or 'spends'.

Hence, the correct answer is option 4.

The correct answer is 'a'.

Key Points

• The passage is about a hard-working slave, and when introducing a character for the first time, it is appropriate to use the indefinite article "a."
• Options "two" and "the" are incorrect because they do not fit the context, and "an" is incorrect because it is used before words that start with a vowel sound.
• "a" is the correct choice as it correctly aligns with the context of introducing a character.

Therefore, the correct answer is 'Option 2'.

Complete Passage: During the days of slavery, there lived (1) a very hard-working slave. One day, (2) craving freedom, he ran away from his masters house. As he passed a forest, he saw a lion (3) writhing with pain, for a huge thorn had pierced its paw. The slave felt sorry for the lion and took out the thorn gently. The grateful lion licked the slaves hand. But just then, both of (4) them were captured by the soldiers. The king ordered, “Let the runaway slave (5) be thrown in front of a hungry lion.” But, when the slave was thrown in front of the lion, the lion licked him and quietly sat beside him. The amazed king asked the reason. The slave told the king everything. The king pardoned the slave. The lion was also freed and sent to the forest.

Additional Information

• "Two" (दो): Incorrect as it implies there are two slaves being discussed, not one.
• "An" : Incorrect because it is used before words starting with a vowel sound.
• "The" : Incorrect as it specifies a particular slave, but the context requires the introduction of a character for the first time, which necessitates the use of an indefinite article.

The correct answer is 'to gain'.

Key Points

• The passage suggests that the slave's action of running away was motivated by his desire for freedom.
• The infinitive form "to gain" is used to express purpose or intent.
• “To gain” correctly aligns with the context, indicating the reason he ran away.
• Options “gained”, “gains”, and “gain” do not reflect the intended action of seeking freedom and thus, are incorrect in this context.

Therefore, the correct answer is 'Option 4'.

Complete Passage: During the days of slavery, there lived (1) a very hard-working slave. One day, (2) to gain freedom, he ran away from his master's house. As he passed a forest, he saw a lion (3) writhing with pain, for a huge thorn had pierced its paw. The slave felt sorry for the lion and took out the thorn gently. The grateful lion licked the slave's hand. But just then, both of (4) them were captured by the soldiers. The king ordered, “Let the runaway slave (5) be thrown in front of a hungry lion.” But when the slave was thrown in front of the lion, the lion licked him and quietly sat beside him. The amazed king asked the reason. The slave told the king everything. The king pardoned the slave. The lion was also freed and sent to the forest.

Additional Information

• “Gained” (प्राप्त किया): Incorrect past tense form that does not fit the context of expressing purpose.
• “Gains” (प्राप्त करता है): Incorrect present tense form that is not suitable for this sentence structure.
• “Gain” (प्राप्त): Incorrect simple form that does not indicate the purpose.
• “To gain” (प्राप्त करने के लिए): Correct infinitive form to express intent or purpose.

The correct answer is 'roaring'.

Key Points

• The passage describes the lion experiencing pain at the moment when the slave finds it.
• The present participle form "roaring" is used to show the continuous action of the lion expressing its pain.
• The other options ("roars", "roar", "roared") do not fit the progressive aspect needed to describe the ongoing action.
• Using "roaring" conveys the idea that the lion was actively expressing its pain when the slave encountered it.

Therefore, the correct answer is 'Option 4'.

Complete Passage: During the days of slavery, there lived (1) a very hard-working slave. One day, (2) to gain freedom, he ran away from his master's house. As he passed a forest, he saw a lion (3) roaring with pain, for a huge thorn had pierced its paw. The slave felt sorry for the lion and took out the thorn gently. The grateful lion licked the slave's hand. But just then, both of (4) them were captured by the soldiers. The king ordered, “Let the runaway slave (5) be thrown in front of a hungry lion.” But when the slave was thrown in front of the lion, the lion licked him and quietly sat beside him. The amazed king asked the reason. The slave told the king everything. The king pardoned the slave. The lion was also freed and sent to the forest.

Additional Information

• “Roars” : Incorrect as it is present simple tense and does not show the ongoing action.
• “Roar” Incorrect as it is the base form and does not fit grammatically.
• “Roared” Incorrect as it is past tense and does not indicate the lion is roaring while the slave finds it.
• “Roaring”  Correct as it shows the action happening at that moment.

The correct answer is 'them'.

Key Points

• The passage refers to both the slave and the lion being captured by the soldiers.
• The plural pronoun “them” is suitable as it correctly refers to both individuals mentioned.
• Other options like “us,” “him,” and “her” do not fit the context, as they do not accurately reflect both the slave and the lion together.
• Using “them” maintains grammatical correctness and coherence in the passage.

Therefore, the correct answer is 'Option 3'.

Complete Passage: During the days of slavery, there lived (1) a very hard-working slave. One day, (2) to gain freedom, he ran away from his master's house. As he passed a forest, he saw a lion (3) roaring with pain, for a huge thorn had pierced its paw. The slave felt sorry for the lion and took out the thorn gently. The grateful lion licked the slave's hand. But just then, both of (4) them were captured by the soldiers. The king ordered, “Let the runaway slave (5) be thrown in front of a hungry lion.” But when the slave was thrown in front of the lion, the lion licked him and quietly sat beside him. The amazed king asked the reason. The slave told the king everything. The king pardoned the slave. The lion was also freed and sent to the forest.

Additional Information

• “Us”: Incorrect as it includes the speaker and others not mentioned in the scenario.
• “Him”: Incorrect as it refers to a single male individual, not capturing both the slave and the lion.
• “Her”: Incorrect as it refers to a single female individual and does not fit the scenario.
• “Them”: Correct as it accurately refers to both the slave and the lion.

The correct answer is 'be'.

Key Points

• The passage includes a direct quotation of the king’s command.
• In commands or orders in English, the base form of the verb is used.
• The base form “be” is used to construct the imperative mood, which is appropriate in this context where the king is giving an order.
• Other options like “being,” “is,” and “been” do not fit the grammatical structure of this command.

Therefore, the correct answer is 'Option 4'.

Complete Passage: During the days of slavery, there lived (1) a very hard-working slave. One day, (2) to gain freedom, he ran away from his master's house. As he passed a forest, he saw a lion (3) roaring with pain, for a huge thorn had pierced its paw. The slave felt sorry for the lion and took out the thorn gently. The grateful lion licked the slave's hand. But just then, both of (4) them were captured by the soldiers. The king ordered, “Let the runaway slave (5) be thrown in front of a hungry lion.” But when the slave was thrown in front of the lion, the lion licked him and quietly sat beside him. The amazed king asked the reason. The slave told the king everything. The king pardoned the slave. The lion was also freed and sent to the forest.

Additional Information

• “Being” (हो रहा है): Incorrect as it suggests a continuous action and does not fit an imperative command.
• “Is” (है): Incorrect as it is present tense and does not fit the imperative command.
• “Been” (हो चुका है): Incorrect as it is the past participle and does not fit the sentence structure.
• “Be” (हो): Correct as it fits the imperative command given by the king.

The correct answer is '4' i.e. knock over a tower of pots is the appropriate substitute.

Key Points

• The verb phrase "knock through" in the sentence is not used correctly.
• "Knock over" is the proper phrasal verb that means to make something fall by hitting it.
• Hence the most appropriate option that correctly substitutes the underlined segment is "knock over a tower of pots".

Hence, the correct answer is option 4.

The correct answer is: Option 4)

Key Points

• The word "negliegent" is incorrectly spelt. The correct spelling is "negligent", which means failing to take proper care in doing something. (लापरवाह)
• Example: The doctor was found negligent in his duties towards the patient.
• "Negligent" is the correct form and means failing to take proper care in doing something. (लापरवाह)
• Example: The teacher was negligent in grading the students' papers on time.

Therefore, the correct answer is: Option 4.

Additional Information

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

• Hurd (गलत वर्तनी): The correct spelling is "heard" (सुना).
• Example: I heard the news about the accident yesterday.
• Dutie (गलत वर्तनी): The correct spelling is "duty" (कर्तव्य).
• Example: It is your duty to report any suspicious activity.
• Comittee (गलत वर्तनी): The correct spelling is "committee" (समिति).
• Example: The committee will meet next week to discuss the budget.

Therefore, the correct spelling is 'negligent.'

The correct answer is: Option 1.

Key Points

• The idiom "Cost an arm and a leg" means something that is very expensive. (बहुत महंगा होना)
• Example: The new car he bought cost him an arm and a leg.
• "Expensive" refers to something that has a high price or cost. (मंहगा)
• Example: Designer clothes are usually very expensive.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Option 2: To be inexpensive (सस्ता होना): Something that does not cost much.
• Example: This store offers inexpensive but quality products.
• Option 3: To be moderately priced (मध्यम कीमत होना): Something that is neither too cheap nor too expensive.
• Example: The hotel rooms are moderately priced and offer good value for money.
• Option 4: To be affordable (सुलभ होना): Something that is reasonably priced and within one's budget.
• Example: Affordable housing is a major issue in many cities.

The correct answer is: Option 3.

Key Points

• The word "Titanic" means something of exceptional strength, size, or power. (विशालकाय)
• Example: The construction of the skyscraper was a titanic effort that took several years to complete.
• "Huge" refers to something very large in size or amount. (बहुत बड़ा)
• Example: The whale is a huge creature that dominates the ocean.
• Hence, we can infer that the synonym of 'Titanic' is 'Huge'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Deep (गहरा): Extending far down from the top or surface.
• Example: The ocean is incredibly deep in some places.
• Disastrous (विनाशकारी): Causing great damage.
• Example: The earthquake had a disastrous impact on the city.
• Attractive (आकर्षक): Pleasing or appealing to the senses.
• Example: The garden is very attractive in the spring.

The correct answer is '3' i.e. No improvement required.

Key Points

• The phrasal verb "ran into" is used correctly in the sentence.
• "Ran into" means to meet someone unexpectedly.
• Thus, the original sentence does not require any improvement.

Hence, the correct answer is option 3.

The correct answer is: Option 1.

Key Points

• The word "vain" means having or showing an excessively high opinion of one's appearance, abilities, or worth. (घमंडी)
• Example: She is so vain that she spends hours in front of the mirror.
• "Humble" refers to having or showing a modest or low estimate of one's importance. (विनम्र)
• Example: Despite his success, he remains a humble person.
• Hence, we can infer that the opposite of 'vain' is 'humble'.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Honourable (सम्माननीय): Deserving respect or high regard.
• Example: He is known as an honourable judge in the court.
• Hopeful (आशावान): Feeling or inspiring optimism about a future event.
• Example: She is hopeful that she will get the job.
• Honest (ईमानदार): Free of deceit; truthful and sincere.
• Example: He is known for being an honest businessman.

The correct answer is: Option 3.

Key Points

• The word "affection" means a gentle feeling of fondness or liking. (स्नेह)
• Example: The mother's affection for her child was evident in her every action.
• The word "animosity" refers to a strong feeling of dislike or hatred. (द्वेष)
• Example: There was a clear animosity between the two rivals.
• Hence, the correct word to use in the sentence is "affection", not "animosity".

Therefore, the correct answer is: Option 3.

Additional Information

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

• Affectation (दिखावा): Behavior, speech, or writing that is artificial and designed to impress.
• Example: His British accent is just an affectation; he’s never even been to the UK.
• Absurdity (मूर्खता): The quality or state of being ridiculous or wildly unreasonable.
• Example: The absurdity of the situation made everyone laugh.
• Abasement (अपमान): The action or fact of abasing or being abased; humiliation or degradation.
• Example: The abasement of the employee in front of his colleagues was uncalled for.

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

Key Points

• The word "boisterous" means noisy, energetic, and cheerful; rowdy. (उल्लासपूर्ण)
• Example: The children were boisterous as they played in the park.
• "Calm" refers to a state of being peaceful, quiet, and without worry or excitement. (शांत)
• Example: The calm sea made for a perfect day of sailing.
• Hence, we can infer that the opposite of 'boisterous' is 'calm'.

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

Additional Information

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

• Bouncy (उछलता हुआ): Lively and energetic.
• Example: The bouncy ball kept the children entertained for hours.
• Rowdy (उपद्रवी): Noisy and disorderly.
• Example: The rowdy crowd was hard to control during the concert.
• Loud (जोर से): Producing or capable of producing much noise.
• Example: The music at the party was so loud that we couldn't hear each other speak.

The correct answer is: prove.

Key Points

• The word "prove" means to demonstrate the truth or existence of something by evidence or argument. (साबित करना)
• Example: The scientist was able to prove his theory with substantial evidence.
• The correct word "prove" (साबित करना) implies that the win could demonstrate or establish itself as a historic turning point in the fortunes of the team.
• Example: This win could prove to be a historic turning point in the fortunes of the team.

Therefore, the correct answer is: prove.

Additional Information

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

• Confirm (पुष्टि करना): To establish the truth or correctness of something.
• Example: The tests confirm that she is pregnant.
• Accomplish (पूरा करना): To achieve or complete successfully.
• Example: They were able to accomplish their mission without any casualties.
• Demonstrate (प्रदर्शित करना): To show or make something clear.
• Example: The teacher used a model to demonstrate how the heart pumps blood.

The correct answer is: Option 3.

Key Points

• The idiom "Rift in the lute" means a small problem or flaw that could potentially cause bigger issues. (ल्यूट में दरार)
• Example: The disagreement over the budget created a rift in the lute within the committee.
• "Rift in the lute" signifies a minor issue that can disrupt harmony or unity. (ल्यूट में दरार)
• Example: The small misunderstanding acted as a rift in the lute, affecting their long-term friendship.

Therefore, the correct answer is: Option 3.

Additional Information

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

• A cry in the wilderness (व्यर्थ चिल्लाना): An expression of an unpopular opinion or a warning that is ignored.
• Example: His warnings about the financial crisis were just a cry in the wilderness.
• Tenterhooks (बेचैनी): Being in a state of anxious suspense.
• Example: We were on tenterhooks waiting for the results of the exam.
• Hair breadth (बाल बराबर): A very small distance or margin.
• Example: He escaped the accident by a hair breadth.

The correct answer is: Option 2.

Key Points

• The word "Fasten" means to close or join securely; make or become fixed or closed. (बांधना)
• Example: Please fasten your seatbelt before the airplane takes off.
• "Bolt" refers to a metal pin or bar, in particular. Here, it means to secure or fasten with a bolt. (बोल्ट लगाना)
• Example: He bolted the door to ensure no one could enter.
• Hence, we can infer that the synonym of 'Fasten' is 'Bolt'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Undo (पूर्ववत करें): To unfasten or release.
• Example: He began to undo his shoelaces.
• Detach (अलग करना): To separate or remove something.
• Example: Please detach the coupon from the booklet.
• Loosen (ढीला करना): To make or become less tight or firm.
• Example: She loosened the knot so she could untie the rope.

The correct answer is: Option 3.

Key Points

• The word "worsened" means to become worse or more severe. (बिगड़ना)
• Example: Her condition worsened over the weekend, and she had to be hospitalized.
• "Improved" refers to becoming better or making progress. (सुधार होना)
• Example: After taking the medication, his health improved significantly.
• Hence, we can infer that the opposite of 'worsened' is 'improved'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Scaled (मापा हुआ): To climb up or ascend.
• Example: The mountaineers scaled the peak despite the harsh weather conditions.
• Traversed (पार करना): To travel across or through.
• Example: He traversed the desert on foot.
• Changed (बदल गया): To make or become different.
• Example: The weather changed from sunny to rainy in just a few hours.

The correct answer is: Option 1 i.e. "religiuos".

Key Points

• The word "religiuos" is incorrectly spelt. The correct spelling is "religious". (धार्मिक)
• Example: He is deeply religious and attends church every Sunday.
• "Precious" means something of great value; not to be wasted or treated carelessly. (बहुमूल्य)
• Example: The precious gem was locked away in a secure vault.
• "Carefully" refers to doing something with caution and attention to detail. (सावधानीपूर्वक)
• Example: She carefully wrapped the gift in beautiful paper.
• "Decorated" means to make something look more attractive by adding items or images. (सजाया हुआ)
• Example: The room was decorated with balloons and streamers for the party.

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

Additional Information

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

• Precious (बहुमूल्य): Something of great value; not to be wasted or treated carelessly.
• Example: The precious gem was locked away in a secure vault.
• Carefully (सावधानीपूर्वक): Doing something with caution and attention to detail.
• Example: She carefully wrapped the gift in beautiful paper.
• Decorated (सजाया हुआ): To make something look more attractive by adding items or images.
• Example: The room was decorated with balloons and streamers for the party.

The correct answer is 'harsh'.

Key Points

• The word "harsh" means extremely unkind or severe. (कठोर)
• The CEO's decision to cut benefits is viewed as severe or harsh because it negatively affects employees.
• The other options: "laborious," "rigorous," and "humorous" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 3'.

Complete Sentence: The CEO's decision to cut benefits was a harsh move.

Additional Information

• Laborious (परिश्रम): means requiring considerable effort and time.
• Rigorous (कठोर): means extremely thorough or exhaustive.
• Humorous (हास्यपूर्ण): means causing laughter and amusement.

The correct answer is: Option 4.

Key Points

• The word "furtive" means attempting to avoid notice or attention, typically because of guilt or a belief that discovery would lead to trouble; secretive. (गुप्त)
• Example: He cast a furtive glance at the woman before quickly looking away.
• "Truthful" refers to someone who is honest and always tells the truth. (सत्यवादी)
• Example: She is known for her truthful nature and never lies to anyone.
• Hence, we can infer that the opposite of 'furtive' is 'truthful'.

Therefore, the correct answer is: Option 4.

Additional Information

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

• Foxy (चालाक): Cunning or sly.
• Example: The detective had to be foxy to outsmart the criminal.
• Shady (संदिग्ध): Of doubtful honesty or legality.
• Example: His shady business practices eventually led to his downfall.
• Futuristic (भविष्यवादी): Having or involving very modern technology or design.
• Example: The new building has a very futuristic look.

The correct answer is: Option 1.

Key Points

• The word "Stingy" means someone who is unwilling to spend money or share resources. (कंजूस)
• Example: He is so stingy that he never tips the waiter.
• "Generous" refers to someone who is willing to give more of something, especially money, than is usual or expected. (उदार)
• Example: She is known for her generous donations to charity.
• Hence, we can infer that the opposite of 'stingy' is 'generous'.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Deceitful (धोखेबाज): Tending to deceive or cheat.
• Example: His deceitful nature makes it hard to trust him.
• Lascivious (कामुक): Inclined to lustfulness; lewd.
• Example: The lascivious comments made everyone uncomfortable.
• Humorous (हास्यपूर्ण): Funny or entertaining.
• Example: His humorous anecdotes always make us laugh.

Preparing the family tree using the following symbols,

Given equation: A & B # C @ D % E

The family tree can be drawn as per the given information,

Here, we can see that A is the father of E.

Hence, the correct answer is "Father".

The logic followed here is:

Logic: (Second number × 2) = (First number + Third number) + 10

(59, 83, 97)

→ (83 × 2) = (59 + 97) + 10

→ 166 = 156 + 10

(63, 87, 101)

→ (87 × 2) = (63 + 101) + 10

→ 174 = 164 + 10

Now, let's check each option as per the logic,

1) (67, 91, 115)

→ (91 × 2) = (67 + 115) + 10

→ 182 ≠ 182 + 10 

2) (71, 95, 109)

→ (95 × 2) = (71 + 109) + 10

→ 190 = 180 + 10 ⇒ Satisfies the logic.

3) (51, 65, 89)

→ (65 × 2) = (51 + 89) + 10

→ 130 ≠ 140 + 10

4) (48, 82, 96)

→ (82 × 2) = (48 + 96) + 10

→ 164 ≠ 144 + 10

Hence, the correct answer is "(71, 95, 109)".

The logic followed here is,

Here, we can see that it follows a repeating pattern of 'mnpqrrqpnm'.

Hence, the correct answer is "mqqnnrpmqp".

Given equation: 18 - 2 + 12 × 4 ÷ 7 = ?

After interchanging ‘×' and '÷' the equation, we get: 18 - 2 + 12 ÷ 4 × 7 = ?

→ 18 - 2 + 12 ÷ 4 × 7 = ?

→ 18 - 2 + 3 × 7 = ?

→ 18 - 2 + 21 = ?

→ 39 - 2 = ?

→ 37 = ?

Hence, the correct answer is "37".

The mirror image of the given figure is shown below,

Hence, the correct answer is "Option 2".

Now, let's check each option,

1) 32 D 5 B 10 A 2 C 62

→ 32 - 5 × 10 ÷ 2 + 62

→ 32 - 5 × 5 + 62

→ 32 - 25 + 62

→ 94 - 25 = 69

2) 32 A 5 D 10 B 2 C 62

→ 32 ÷ 5 - 10 × 2 + 62

→ 6.4 - 10 × 2 + 62

→ 6.4 - 20 + 62

→ 68.4 - 20 = 48.4

3) 32 B 5 D 10 C 2 A 62

→ 32 × 5 - 10 + 2 ÷ 62

→ 32 × 5 - 10 + 1/31

→ 160 - 10 + 1/31

→ 160.03 - 10 = 150.03

4) 32 B 5 D 10 A 2 C 62

→ 32 × 5 - 10 ÷ 2 + 62

→ 32 × 5 - 5 + 62

→ 160 - 5 + 62

→ 222 - 5 = 217

Hence, the correct answer is "217".

Let's count the number of triangles in the given figure,

Hence, the correct answer is "13".

Opposite surface of the open dice can be found by the below methods: -

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners.

So, by using the above rule we can find the opposite surface of open dice.

Below are the opposite surfaces: -

Here, we can see that the opposite side of '@' is '*'.

Hence, the correct answer is "*".

The mirror image of the given figure is shown below,

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: First number = Square of a number, Second number = Cube of the same number

64 : 512

→ 64 = (8)²

→ 512 = (8)³

225 : 3375

→ 225 = (15)²

→ 3375 = (15)³

Similarly,

169 : ?

→ 169 = (13)²

→ ? = (13)³ = 2197

Hence, the correct answer is "2197".

According to the given information,

Here, we can see that the code for 'someone' is 'Te'.

Hence, the correct answer is "Te".

The logic followed here is,

FHGE is related to IKJH,

HJIG is related to KMLJ,

Similarly,

RTSQ is related to,

Hence, the correct answer is "UWVT".

Let's check each option,

Hence, the correct answer is "Option 3".

According to the given information,

Here, we can see that the code for 'girl' is 'nit'.

Hence, the correct answer is "nit".

The logic followed here is:

Logic: Step 1 and Step 2 are being followed on alternate basis.

Hence, the correct answer is "Option 1".

The logic followed here is,

Hence, the correct answer is "RZH".

The least possible venn diagram is shown below,

Conclusions:

(I) No watch is a phone → False (All watches are dials and all dials are phones implies that all watches are phones).

(II) Some dials are mobiles → False (All watches are dials, all dials are phones and some mobiles are phones implies that some dials can be mobiles. This is possible but not definite).

Hence, the correct answer is "None of the conclusions follow".

The logic followed here is,

Hence, the correct answer is "4740".

The logic followed here is,

Hence, the correct answer is "12500".

The mirror image of the given image is shown below,

Hence, the correct answer is "Option 3".

According to the given information,

Here, we can see that there are 12 letters which changes its position.

Hence, the correct answer is "Twelve".

The logic followed here is,

CZ22 is related to HE33,

QN47 is related to VS58,

Similarly,

WT7 is related to,

Hence, the correct answer is "BY18".

Let's check each option,

1. BEI

2. JMP

3. SVZ

4. KNR

Here, we can see that Option 2 different from others.

Hence, the correct answer is "JMP".

Given equation: 209 ÷ 2 + 14 - 120 × 3 = ?

After interchanging the signs, the equation we get: 209 × 2 - 14 + 120 ÷ 3 = ?

→ 209 × 2 - 14 + 120 ÷ 3 = ?

→ 209 × 2 - 14 + 40 = ?

→ 418 - 14 + 40 = ?

→ 458 - 14 = ?

→ 444 = ?

Hence, the correct answer is "444".

The logic followed here is:

Logic: A normal year advances the day of the year by 1 day. And a leap year advances the day of the year by 2 days. 

If 1 January 2020 was a Wednesday. We know 2020 is a leap year.

So, the day advances as shown below:

1 January 2021 → Wednesday + 2 = Friday.

Hence, the correct answer is "Friday".

Given:

15 persons working 12 hours a day earn Rs. 18,000 per week.

Formula Used:

Total earnings = Number of persons × Number of hours per day × Number of days per week × Earnings per hour

Calculation:

First, calculate the total number of hours worked by 15 persons in a week:

Total hours worked by 15 persons in a week = 15 × 12 × 7

Total hours = 1260 hours

Next, calculate the earnings per hour:

Earnings per hour = Total earnings / Total hours worked

Earnings per hour = 18000 / 1260

Earnings per hour = 14.29 Rs/hour

Now, calculate the total number of hours worked by 18 persons working 9 hours a day in a week:

Total hours worked by 18 persons in a week = 18 × 9 × 7

Total hours = 1134 hours

Finally, calculate the total earnings for 18 persons working 9 hours a day in a week:

Total earnings = Total hours worked × Earnings per hour

Total earnings = 1134 × 14.29

Total earnings = 16198.86

Rounded to the nearest whole number, the total earnings are Rs. 16,200

The correct answer is option 1.

Formula used:

Failed percentage = $\dfrac{\text{Number of failed students}}{\text{Total students}} \times 100$ 

Calculation:

Number of failed students in Section C = 12 + 6 + 8 = 26

Failed percentage = $\dfrac{26}{61} \times 100$

⇒ 42.62%

∴ The failed percentage of Section C in at least one of the two examinations is 42.62%.

Shortcut Trick

For a number to be divisible by 12, it must be divisible by both 3 and 4.

For divisibility by 4, the last two digits 9c must be divisible by 4 ⇒ c = 2 or c = 6.

For divisibility by 3, the sum of all digits (28 + b + c) must be a multiple of 3.

If c = 6, the digit sum is 34 + b. For this to be a multiple of 3, b can be 2, 5, or 8.

To find the lowest positive value of (c − b), we take c = 6 and b = 5 ⇒ 6 − 5 = 1.

∴ The correct answer is 1.

Alternate Method

Given:

The 7-digit number 1738b9c is completely divisible by 12.

Concept Used:

A number is divisible by 12 if it is divisible by both 3 (sum of digits is a multiple of 3) and 4 (last two digits form a multiple of 4).

Calculation:

⇒ Divisibility by 4: The number formed by the last two digits is 9c.

⇒ The only numbers in the 90s divisible by 4 are 92 and 96. Thus, c = 2 or c = 6.

⇒ Divisibility by 3: The sum of digits = 1 + 7 + 3 + 8 + b + 9 + c = 28 + b + c must be divisible by 3.

⇒ Case 1: If c = 2, the sum = 30 + b. For the sum to be completely divisible by 3, b can be 0, 3, 6, or 9.

⇒ We need a positive value for (c − b), so c must be greater than b. Thus, b = 0 ⇒ (c − b) = 2 − 0 = 2.

⇒ Case 2: If c = 6, the sum = 34 + b. For the sum to be completely divisible by 3, b can be 2, 5, or 8.

⇒ For a positive value of (c − b), b can be 2 or 5.

⇒ If b = 2, (c − b) = 6 − 2 = 4.

⇒ If b = 5, (c − b) = 6 − 5 = 1.

⇒ Comparing all valid positive outcomes (2, 4, and 1), the lowest possible positive value is 1.

∴ The correct answer is 1.

Additional Information

Divisibility Rule of 3 and 9

A number is divisible by 3 or 9 if the sum of all its digits is completely divisible by 3 or 9 respectively.

Divisibility Rule of 4 and 8

A number is divisible by 4 if the number formed by its last two digits is divisible by 4, and divisible by 8 if the number formed by its last three digits is divisible by 8.

Divisibility Rule of 11

A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is either 0 or a multiple of 11.

Shortcut Trick

Since radius (r) = 7 and chord (L) = 7, the triangle formed by the center and the chord is equilateral.

Central angle (θ) = 60° = π/3 radians.

Common area = 2 × (Area of Sector − Area of Equilateral Triangle)

Area = 2 × [(π × 7² × 60/360) − (√3/4 × 7²)]

Area = 2 × [49π/6 − 49√3/4] = 98(π/6 − √3/4) sq. units.

∴ The correct answer is 98(π/6 − √3/4).

Alternate Method

Given:

Radius of both circles (r) = 7 units

Length of common chord (AB) = 7 units

Formula Used:

Area of Segment = Area of Sector − Area of Triangle

Area of Sector = (θ/360°) × πr²

Area of Equilateral Triangle = (√3/4) × side²

⇒ In ▵O₁AB, O₁A = O₁B = 7 (radii) and AB = 7 (given chord).

⇒ Since all sides are equal, ▵O₁AB is an equilateral triangle.

⇒ Central angle θ = 60°.

⇒ Area of sector O₁AB = (60/360) × π × 7² = 49π/6.

⇒ Area of ▵O₁AB = (√3/4) × 7² = 49√3/4.

⇒ Area of segment (one side) = Area of sector − Area of triangle = (49π/6) − (49√3/4).

⇒ Total common area = 2 × [49π/6 − 49√3/4].

⇒ Total common area = 98(π/6 − √3/4) sq. units.

∴ The correct answer is 98(π/6 − √3/4).

Additional Information

Area of Circular Segment

The area of a segment of a circle is calculated as A = (1/2) × r² × (θ − sin θ), where θ is in radians.

Common Chord Property

The common chord of two intersecting circles is perpendicular to the line joining their centers and is bisected by it.

Equilateral Triangle Area

For a triangle with side 'a', Area = (√3/4) × a² and the internal angles are all 60°.

Given:

Side of the cube = 3

Formula Used:

Surface Area of a Cube = 6 × side²

Volume of a Cube = side³

Ratio = Surface Area / Volume

Calculation:

Surface Area = 6 × 3²

Surface Area = 6 × 9

Surface Area = 54

Volume = 3³

Volume = 27

Ratio = Surface Area / Volume

Ratio = 54 / 27

Ratio = 2 / 1

The ratio between the surface area and the volume of the cube is 2 ∶ 1.

Given:

Difference between two numbers = 48

Ratio of the two numbers = 7:3

Formula Used:

Let the two numbers be 7x and 3x.

The difference between the two numbers = 7x - 3x = 48

Calculation:

7x - 3x = 48

⇒ 4x = 48

⇒ x = 48 / 4

⇒ x = 12

First number = 7x = 7 × 12 = 84

Second number = 3x = 3 × 12 = 36

Sum of the two numbers = 84 + 36

⇒ 120

The sum of the two numbers is 120.

Given:

Volume of the spherical ball = 38.808 cm³

$\pi = \frac{22}{7}$

Formula Used:

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

Diameter, D = 2r

Calculation:

Given, V = 38.808 cm³

We use the formula for the volume of a sphere:

$\frac{4}{3} \pi r^3 = 38.808$

Substitute $\pi = \frac{22}{7}$ :

$\frac{4}{3} × \frac{22}{7} × r^3 = 38.808$

⇒ $\frac{88}{21} × r^3 = 38.808$

⇒ $r^3 = \frac{38.808 × 21}{88}$

⇒ $r^3 = \frac{814.968}{88}$

⇒ r³ = 9.26

Taking the cube root on both sides:

⇒ r = $\sqrt[3]{9.26}$

⇒ r ≈ 2.1 cm

So, the diameter D = 2r = 2 × 2.1 = 4.2 cm

The correct answer is option 4, 4.2 cm.

Given:

The simple interest on the sum for 12 years is three-fifth of the sum.

Formula Used:

Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) / 100

Calculation:

Let the Principal (P) be x .

Given, SI = $\frac{3}{5}$ of the sum (P).

So, SI = $\frac{3}{5}$ × x

Time (T) = 12 years

Using the formula for Simple Interest:

SI = P × R × T / 100

$\frac{3}{5} x = x × R × 12 / 100$

⇒ $\frac{3}{5}$ x = 12xR / 100

⇒ $\frac{3}{5}$ = 12R / 100

⇒ $\frac{3}{5}$ = $\frac{12R}{100}$

⇒ 3 × 100 = 12 × 5R

⇒ 300 = 60R

⇒ R = 300 / 60

⇒ R = 5

The rate of interest per annum is 5%.

Given:

Selling price (SP) of 40 articles = Cost price (CP) of 50 articles

Formula Used:

Percentage Gain = $\left(\frac{\text{Gain}}{\text{CP}}\right) \times 100\%$

Calculation:

Let the cost price of 1 article be CP .

Total CP of 50 articles = 50 × CP

Total SP of 40 articles = 50 × CP

SP of 1 article = $\frac{50 × CP}{40}$

SP of 1 article = $\frac{5}{4} × CP$

Gain on 1 article = SP - CP

Gain on 1 article = $\frac{5}{4} × CP$ - CP

Gain on 1 article = $\frac{5CP - 4CP}{4}$

Gain on 1 article = $\frac{CP}{4}$

Percentage Gain = $\left(\frac{\frac{CP}{4}}{CP}\right) \times 100\%$

Percentage Gain = $\left(\frac{1}{4}\right) \times 100\%$

Percentage Gain = 25%

The correct answer is option 4.

Given:

Population in 2020 = 5000000

Annual growth rate = 7.5%

Formula Used:

Population after n years = Initial Population × (1 + Growth Rate)ⁿ

Calculation:

Population in 2022 (after 2 years) = 5000000 × (1 + 0.075)²

Population in 2022 = 5000000 × (1.075)²

Population in 2022 = 5000000 × 1.155625

Population in 2022 = 5778125

The population in 2022 is 5778125.

Given:

M varies inversely as (N² + 3).

M = 3 when N = 3.

N² = 69.

Formula Used:

M = k / (N² + 3)

Calculation:

When N = 3:

⇒ M = 3

⇒ 3 = k / (3² + 3)

⇒ 3 = k / (9 + 3)

⇒ 3 = k / 12

⇒ k = 3 × 12

⇒ k = 36

When N² = 69:

⇒ M = 36 / (69 + 3)

⇒ M = 36 / 72

⇒ M = 1 / 2

The value of M when N² = 69 is 1/2.

Shortcut Trick

Use the Back-calculation method starting from the last divisor: Let final quotient be 1.

Number = ((((1 × 7 + 5) × 5 + 0) × 3 + 4) × 2 + 1)

⇒ Number = (((12 × 5 + 0) × 3 + 4) × 2 + 1) = ((60 × 3 + 4) × 2 + 1) = (184 × 2 + 1) = 369.

New successive remainders for 369 by 7, 5, 3, 2: (369÷7 → rem 5), (52÷5 → rem 2), (10÷3 → rem 1), (3÷2 → rem 1).

Sum of remainders = 5 + 2 + 1 + 1 = 9.

∴ The correct answer is 9.

Alternate Method

Given: Successive divisors (2, 3, 5, 7) and remainders (1, 4, 0, 5). New divisors (7, 5, 3, 2).

⇒ Let final quotient be 1. The number is calculated from bottom to top.

⇒ Q₃ = 1 × 7 + 5 = 12

⇒ Q₂ = 12 × 5 + 0 = 60

⇒ Q₁ = 60 × 3 + 4 = 184

⇒ Number = 184 × 2 + 1 = 369

Now, perform successive division of 369 by 7, 5, 3, and 2:

⇒ 369 ÷ 7 = 52, remainder = 5 (R₁)

⇒ 52 ÷ 5 = 10, remainder = 2 (R₂)

⇒ 10 ÷ 3 = 3, remainder = 1 (R₃)

⇒ 3 ÷ 2 = 1, remainder = 1 (R₄)

⇒ Sum of remainders = 5 + 2 + 1 + 1 = 9.

∴ The correct answer is 9.

Additional Information

Successive Division

It means dividing the original number by the first divisor, then dividing the resulting quotient by the second divisor, and so on.

General Formula for Number

Number = d₁[d₂{d₃(q_n × d_n + r_n) + ... + r₃} + r₂] + r₁, where d = divisors and r = remainders.

Least Number

To find the least number, always assume the final quotient (q_n) is either 0 or 1. If not specified, q_n = 0 gives the absolute minimum.

Given:

Revenue from magazines in lakhs:

1989: 31

1990: 39

1991: 45

1992: 50

Formula used:

Change in revenue = Revenue of current year - Revenue of previous year

Calculation:

Change from 1989 to 1990 = 39 - 31 = 8

Change from 1990 to 1991 = 45 - 39 = 6

Change from 1991 to 1992 = 50 - 45 = 5

∴ The year 1990 shows the highest change in the revenue obtained from magazines, with an increase of 8 lakhs.

Given:

12 sin² A + 2 cos² A = 7, where 0 < A < 180º

Formula Used:

sin² A + cos² A = 1

cot A = cos A / sin A

Calculation:

Given equation: 12 sin² A + 2 cos² A = 7

Using sin² A + cos² A = 1, we can write cos² A as 1 - sin² A

Substitute cos² A in the given equation:

12 sin² A + 2(1 - sin² A) = 7

⇒ 12 sin² A + 2 - 2 sin² A = 7

⇒ 10 sin² A + 2 = 7

⇒ 10 sin² A = 5

⇒ sin² A = 1/2

⇒ sin A = ± 1/√2

For 0 < A < 180º, sin A = 1/√2 (since sin A is positive in the first and second quadrants)

⇒ cos A = ± 1/√2 (since sin² A + cos² A = 1)

cot A = cos A / sin A

⇒ cot A = ± (1/√2) / (1/√2) = ±1

⇒ cot A = ± 1

The correct answer is option 2.

Calculation:

Total production in 2010 = 30 + 25 + 50 + 55 = 160

Average production in 2010 = 160 / 4 = 40

Production in 2011 (in thousand tonnes):

Total production in 2011 = 40 + 50 + 45 + 50 = 185

Average production in 2011 = 185 / 4 = 46.25

Difference in average production = 46.25 - 40 = 6.25

∴ The difference between the average production for all states in 2010 and 2011 is 6.25 thousand tonnes.

Given:

Surface area of the sphere = 2464 cm².

Formula Used:

Surface area of a sphere = 4πr²

Volume of a sphere = (4/3)πr³

Calculation:

Given surface area, 4πr² = 2464

⇒ r² = 2464 / 4π

⇒ r² = 2464 / (4 × 3.14)

⇒ r² = 2464 / 12.56

⇒ r² = 196

⇒ r = √196

⇒ r = 14 cm

Now, Volume = (4/3)πr³

⇒ Volume = (4/3)π(14)³

⇒ Volume = (4/3)π(2744)

⇒ Volume = (4/3) × 22/7 × 2744

⇒ Volume = 4/3 × 22 × 392

⇒ Volume ≈ $11498 \frac{2}{3} ~cm^3$

The volume of the sphere is approximately $11498 \frac{2}{3} ~cm^3$.

Shortcut Trick

Discount per item = 25% of 340 = 340 ÷ 4 = Rs. 85.

Required total savings ≥ Rs. 390.

Minimum items = Ceiling value of (Total Savings ÷ Savings per item).

Minimum items = 390 ÷ 85 ≈ 4.58.

Since items must be whole numbers, he must purchase at least 5 items.

∴ The correct answer is 5 items.

Alternate Method

Given → Cost Price (Marked Price) per item = Rs. 340, Discount Rate = 25%, Target Saving = Rs. 390. Formulas: Discount = MP × Discount% | Total Savings = Discount per item × Number of items.

⇒ Discount on one item = 340 × (25 ÷ 100) = Rs. 85. ⇒ Let 'n' be the number of items. Total savings = 85 × n. ⇒ According to the condition: 85n ≥ 390. ⇒ n ≥ 390 ÷ 85. ⇒ n ≥ 4.588. ⇒ The smallest integer greater than 4.588 is 5.

∴ The correct answer is 5.

Additional Information

Marked Price & Discount

Discount is always calculated on the Marked Price (MP). Selling Price = MP − Discount.

Ceiling Function in Unitary Method

When solving for minimum items to meet a threshold, if the result is a decimal, always round up to the next whole integer.

Given:

Speed of the robber = 10 km/h

Speed of the policeman = 15 km/h

Time when the robber starts running = 5:00 p.m.

Time when the policeman starts chasing = 5:12 p.m.

Formula Used:

Distance = Speed × Time

Calculation:

Time difference between the robber and the policeman = 12 minutes = 12/60 hours = 0.2 hours

Distance covered by the robber in 0.2 hours = 10 km/h × 0.2 hours

⇒ Distance = 2 km

Relative speed of the policeman with respect to the robber = 15 km/h - 10 km/h

⇒ Relative speed = 5 km/h

Time taken by the policeman to catch the robber = Distance / Relative speed

⇒ Time = 2 km / 5 km/h

⇒ Time = 0.4 hours = 0.4 × 60 minutes

⇒ Time = 24 minutes

Time when the policeman catches the robber = 5:12 p.m. + 24 minutes

⇒ Time = 5:36 p.m.

The correct answer is option 1.

Given:

Percentage of votes secured by the losing candidate = 41%

Difference in votes = 97,632

Formula Used:

Total votes polled = (Votes of losing candidate) / (Percentage secured by losing candidate)

Votes of winning candidate = Total votes polled - Votes of losing candidate

Calculation:

Let the total votes polled be V .

Votes secured by the losing candidate = 0.41V

Difference in votes = Votes secured by winning candidate - Votes secured by losing candidate

97,632 = Votes of winning candidate - 0.41V

Votes of winning candidate = 0.59V

Given:

0.59V - 0.41V = 97,632

0.18V = 97,632

⇒ V = 97,632 / 0.18

⇒ V = 542,400

Votes of winning candidate = 0.59 × 542,400

⇒ Votes of winning candidate = 320,016

The number of votes obtained by the winning candidate is 320,016.

Given:

Income in 2020 = Rs. 21,000

Increment per year = 10%

Formula Used:

Income in year nnnnnnnnnn = Initial Income × (1 + Increment Rate)ⁿ

Calculation:

Income in 2021 = 21,000 × (1 + 0.10)

⇒ Income in 2021 = 21,000 × 1.10

⇒ Income in 2021 = 23,100

Income in 2022 = 23,100 × (1 + 0.10)

⇒ Income in 2022 = 23,100 × 1.10

⇒ Income in 2022 = 25,410

Sumit's income in 2022 was Rs. 25,410.

Given:

Options:

1. 6 cm, 7 cm, 10 cm
2. 12 cm, 16 cm, 20 cm
3. 5 cm, 11 cm, 13 cm
4. 16 cm, 31 cm, 34 cm

Formula used:

(Hypotenuse)² = (Base)² + (Perpendicular)²

Calculation:

Option 1:

(10)² = (6)² + (7)²

⇒ 100 = 36 + 49

⇒ 100 ≠ 85

Option 2:

(20)² = (12)² + (16)²

⇒ 400 = 144 + 256

⇒ 400 = 400

Option 3:

(13)² = (5)² + (11)²

⇒ 169 = 25 + 121

⇒ 169 ≠ 146

Option 4:

(34)² = (16)² + (31)²

⇒ 1156 = 256 + 961

⇒ 1156 ≠ 1217

∴ The correct answer is option 2: 12 cm, 16 cm, 20 cm.

Total production of type A = 100 + 125 + 200 + 250 + 300 + 400 = 1375

Total production of type B = 150 + 200 + 150 + 200 + 250 + 300 = 1250

Ratio of total production of type A to type B = 1375 : 1250

Simplifying the ratio:

⇒ Ratio = 11 : 10

∴ The ratio of the total production of type A cars to type B cars over the years is 11 : 10.

Given:

A circle with center at C. A, B, and D are points on the circumference.

∠BCD = 126°

∠ADC = 33°

Formula used:

The angle subtended by an arc at the center is twice the angle subtended at any point on the remaining part of the circumference.

Calculation:

∠BAC is subtended by the arc BD at the center.

∠BCD is subtended by the same arc BD on the circumference.

⇒ ∠BAD = (1/2) × ∠BCD

⇒ ∠BAD = (1/2) × 126° = 63°

Draw a line AC then,

BC = CD = AC = radius of circle.

In ΔACD, AC = CD

So, it is an isosceles triangle,

∠CAD = ∠ADC = 33^∘ 

∠BAC = ∠BAD - ∠CAD

∠BAC = 63^∘ - 33^∘ = 30^∘ 

In ΔBAC, BC = CA

So, it is an isosceles triangle.

∠ABC = ∠BAC = 30^∘ 

∴ The correct answer is 30^∘ 

Shortcut Trick

Increase in average age = 37 − 35.5 = 1.5 years.

Age of new worker = New Average + (Initial Number of Workers × Increase in Average).

Age = 37 + (12 × 1.5) = 37 + 18 = 55 years.

∴ The correct answer is 55 years.

Alternate Method

Given: Initial workers = 12, Initial average age = 35.5 years, Final average age = 37 years.

Formula Used: Total Age = Average Age × Number of Workers

⇒ Total age of 12 workers = 12 × 35.5 = 426 years.

⇒ Total age of 13 workers (after 1 joins) = 13 × 37 = 481 years.

⇒ Current age of newly joined worker = Total age of 13 workers − Total age of 12 workers

⇒ Age = 481 − 426 = 55 years.

∴ The correct answer is 55 years.

Additional Information

Effect of Inclusion

When a new member is added to a group, the new member's value = New Average + (Initial Count × Change in Average).

Effect of Exclusion

When a member leaves, the left member's value = Old Average + (New Count × Change in Average).

Weighted Average

Combined average of two groups is given by (n₁A₁ + n₂A₂) ÷ (n₁ + n₂), where n is the number of items and A is the average.

Given:

Diagonals of a trapezium ABCD with AB ∥ DC intersect each other at the point 'O'.

AB = 2.5 × CD

Formula Used:

Area of triangle ratio when diagonals intersect in a trapezium: $\frac{Area( \triangle AOB)}{Area( \triangle COD)} = \left( \frac{AB}{CD} \right)^2$

Calculation:

AB = 2.5 × CD

Ratio of areas = $\left( \frac{AB}{CD} \right)^2$

⇒ Ratio of areas = $\left( \frac{2.5CD}{CD} \right)^2$

⇒ Ratio of areas = $\left( 2.5 \right)^2$

⇒ Ratio of areas = 6.25

⇒ Ratio of areas = 25:4

The ratio of the area of triangle AOB to the area of triangle COD is 25:4.

The correct answer is Gangaur

Key Points

• Gangaur is a festival celebrated predominantly in the Indian state of Rajasthan, particularly in Udaipur.
• The festival is dedicated to Goddess Gauri (Parvati) and is celebrated by womenfolk with great enthusiasm and devotion.
• It typically occurs in the month of March-April, marking the end of winter and the onset of spring.
• During the Gangaur festival, women worship Gauri for marital bliss, prosperity, and a long life for their husbands.
• The Mewar festival is celebrated concurrently with Gangaur, making it a significant cultural event in Udaipur.

Additional Information

• Udaipur, known as the City of Lakes, becomes a hub of cultural activities during the Mewar festival.
• The festival includes various traditional rituals, processions, folk music, dance performances, and fireworks.
• It is a time when the city is adorned with colorful decorations, and the local markets are bustling with activity.
• The celebration of Mewar festival along with Gangaur provides an insight into the rich cultural heritage and traditions of Rajasthan.
• Tourists from all over the world visit Udaipur during this time to witness the grandeur and participate in the festivities.

The correct answer is 1 - b, 2 - a, 3 - c.

Key Points

• Public sector companies are owned and operated by the government. Bharat Heavy Electricals Limited (BHEL) is a public sector company. Hence, 1 matches with b.
• Private sector companies are owned and operated by private individuals or groups. Tata Iron and Steel Company is a private sector company. Hence, 2 matches with a.
• Joint sector companies are operated by both government and private entities. Oil India Ltd is a joint sector company. Hence, 3 matches with c.

Additional Information

• Public Sector:
• These companies are owned and operated by the government.
• Examples include Bharat Heavy Electricals Limited (BHEL), Steel Authority of India Limited (SAIL), etc.
• Private Sector:
• These companies are owned and operated by private individuals or groups.
• Examples include Tata Iron and Steel Company, Reliance Industries, etc.
• Joint Sector:
• These companies are operated by both government and private entities.
• Examples include Oil India Ltd, Maruti Suzuki India Ltd, etc.

The correct answer is Article 23

Key Points

• Article 23 of the Indian Constitution explicitly prohibits traffic in human beings and forced labour.
• This article is a part of the Fundamental Rights enshrined in the Constitution to protect individuals against exploitation.
• It ensures that any form of human trafficking, begar (forced labour without payment), and similar forms of forced labour are punishable offenses under the law.
• The prohibition under Article 23 is absolute and applies to both the state and private individuals.

Additional Information

• Article 24 complements Article 23 by prohibiting the employment of children below the age of 14 years in factories, mines, and other hazardous employment.
• The Fundamental Rights are guaranteed by the Constitution to all individuals and are enforceable by the courts, ensuring protection against any violation.
• The Directive Principles of State Policy in the Constitution further guide the state in formulating policies to prevent exploitation and promote social welfare.
• Article 23's prohibition extends to any form of forced labour, including bonded labour which was prevalent in various parts of India.

The correct answer is conventional encryption

Key Points

• Conventional encryption is another term for symmetric encryption.
• In symmetric encryption, the same key is used for both encryption and decryption of data.
• This method is known for being fast and efficient, making it suitable for encrypting large amounts of data.
• However, it requires secure key management to ensure that the encryption key is not compromised.
• Examples of symmetric encryption algorithms include AES (Advanced Encryption Standard), DES (Data Encryption Standard), and 3DES (Triple DES).

Additional Information

• Public-key encryption (Option 1) is another term for asymmetric encryption, where different keys are used for encryption and decryption.
• Asymmetric encryption (Option 2) involves a pair of keys: a public key for encryption and a private key for decryption.
• Hybrid encryption (Option 4) combines both symmetric and asymmetric encryption techniques to leverage the advantages of each.
• Symmetric encryption is generally faster than asymmetric encryption but requires secure key distribution and management.

The correct answer is Mohammad Iqbal

Key Points

• Mohammad Iqbal wrote the Indian patriotic song, 'Sare Jahan se acchha, Hindustan hamara'.
• The song is one of the most celebrated patriotic songs in India and is often sung at various national events.
• Mohammad Iqbal, also known as Allama Iqbal, was a philosopher, poet, and politician in British India who is widely regarded as having inspired the Pakistan Movement.
• The song was written in 1904 and continues to evoke strong feelings of patriotism among Indians.

Additional Information

• Mohammad Iqbal was born on November 9, 1877, in Sialkot, Punjab (now in Pakistan).
• He is often referred to as the "Spiritual Father of Pakistan" for his contributions to the philosophical and political discourse that led to the creation of Pakistan.
• Iqbal's works are written primarily in Persian and Urdu, and his poetry is considered among the greatest in the Urdu language.
• He was knighted by King George V in 1922, giving him the title "Sir".
• Iqbal passed away on April 21, 1938, but his legacy continues to influence both India and Pakistan.

The correct answer is Shot put

Key Points

• Siddharth Choudhary won a gold medal in the shot put event at the 2023 U-20 Asian Athletics Championships.
• This achievement highlights India's growing presence and competitiveness in the field of athletics on the international stage.
• The event saw participation from several promising young athletes from various Asian countries, making Siddharth's victory a notable accomplishment.
• Siddharth's performance in the shot put event was marked by excellent technique and strength, which secured him the top position.

Additional Information

• The U-20 Asian Athletics Championships is a biennial event that aims to provide a platform for young athletes to showcase their talents and gain international experience.
• India has consistently performed well in these championships, with several athletes winning medals in various disciplines.
• The shot put event involves athletes throwing a heavy spherical object, called a "shot," as far as possible, and it requires a combination of strength, technique, and agility.
• Siddharth Choudhary's victory adds to India's legacy in athletics and serves as an inspiration for other young athletes in the country.

The correct answer is Myanmar

Key Points

• The Kachin Manaw Festival is celebrated in Myanmar.
• This festival is a significant cultural event for the Kachin people, one of the major ethnic groups in Myanmar.
• The festival features traditional dances, music, and rituals, and it is a time for the Kachin community to come together and celebrate their heritage.
• The Kachin Manaw Festival usually takes place in January and is marked by vibrant festivities and communal harmony.