SSC CHSL Tier-1 2024: Official Paper (Held On: 09 Jul, 2024 Shift 4) (Previous Year Paper)

The correct answer is Option 2.

Key Points

• The primary issue in the sentence is the use of the article "an" before a word beginning with a consonant sound ("gang").
• The correct article to use in this context is "a" instead of "an".
• The correct phrase should be "There was a gang", ensuring grammatical correctness and clarity.
• Thus, the error is located in Option 2 of the sentence.

Therefore, the correct answer is Option 2.

Correct Sentence: "There was a gang of thieves spotted at our local bank, make sure to be careful."

Additional Information

• Option 1: "of thieves spotted" – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "at our local bank" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "make sure to be careful" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 3.

Key Points

• The primary issue in the sentence is the awkward phrasing and wordiness of "culture of hospitality of."
• It would be more concise and grammatically correct to use "hospitality culture of."
• Thus, the error is located in Option 3 of the sentence.

Therefore, the correct answer is Option 3.

Correct Sentence: "A great hospitality culture of the Spanish is well-known."

Additional Information

• Option 1: "the Spanish" – This part of the sentence is grammatically correct and refers to the people of Spain.
• Option 2: "is well-known." – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "A great" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect verb form "look" instead of "looked."
• In past tense narratives, the verb should be in the past form.
• The correct phrase should be "she looked up," ensuring grammatical correctness and clarity.
• Thus, the error is located in part 1 of the sentence.

Therefore, the correct answer is Option 1.

Correct Sentence: "After a while, she looked up and saw that it was getting dark."

Additional Information

• After a while, – This part of the sentence is grammatically correct and does not require any changes.
• and saw that – This part of the sentence is grammatically correct and does not require any changes.
• it was getting dark. – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 2.

Key Points

• The primary issue in the sentence is the incorrect use of the verb form.
• The correct form is "has been working," indicating the present perfect continuous tense.
• The appropriate verb phrase clarifies that Alexa has been continuously working as a teacher for five years up to the present moment.

Therefore, the correct answer is Option 2.

Correct Sentence: "Alexa has been working as a teacher for five years now."

Additional Information

• Option 1: "has being" is incorrect; the correct form is "has been."
• Option 3: "was been" is incorrect; it should be "has been" for present perfect continuous tense.
• Option 4: "is being" is incorrect; this structure does not fit the context needing the present perfect continuous tense.

The correct answer is Option 1.

Key Points

• The word "cannot" means is unable to. It indicates a lack of ability or possibility.
• In the context of the sentence, "cannot" accurately describes the camel's situation when it is unable to find water.
• The other options: "can," "hasn't," and "do not" do not fit grammatically or contextually with the sentence.

Therefore, the correct answer is 'Option 1'.

Complete Sentence: When a camel cannot find water, it passes less urine to conserve the small amount of water it has in its body.

Additional Information

• can: Indicates ability or possibility, which doesn't fit because the sentence describes a situation where the camel lacks the ability to find water.
• hasn't: A contraction of "has not," which is grammatically incorrect in this context.
• do not: Grammatically incorrect as the subject "camel" requires "does not" instead of "do not".

The correct answer is Option 4.

Key Points

• The word "the" is a definite article used before singular and plural nouns when the noun is specific or particular.
• In the context of the sentence, "the" is used to specify the small amount of water the camel has in its body.
• The other options: "very," "a," and "which" do not fit grammatically or contextually in this sentence.

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

Complete Sentence: When a camel cannot find water, it passes less urine to conserve the small amount of water it has in its body.

Additional Information

• very: An adverb that describes the extent or degree of something, but does not fit the context here.
• a: An indefinite article used before singular countable nouns when the noun is not specific. It doesn't fit in this context of referring to a specific amount of water.
• which: A relative pronoun that introduces information about the noun preceding it, which doesn't fit this sentence structure.

The correct answer is: Option 2.

Key Points

• Explanation: In the sentence, "the camel has a higher body temperature than (3)______ of most mammals," the correct word to complete the comparison is "that." It refers back to "body temperature," making the meaning clear and grammatically correct.
• ​In summary, option 2, "that," is the correct choice as it accurately completes the comparative statement about the camel's body temperature in relation to that of most mammals. Options 1, 3, and 4 do not work appropriately in the context of this sentence.

Additional Information

• all: This option is not appropriate because it does not correctly complete the comparison; the phrase "all of most mammals" doesn't make sense in this context.
• the: This option is incorrect because "the" does not establish a comparison; it needs to be followed by a specific noun when used in this context, which makes the sentence incomplete and unclear.
• some: This option is incorrect because it would imply partiality, whereas the sentence is making a general comparison between the body temperature of camels and most mammals.

The correct answer is Option 4.

Key Points

• The word "at" is used to indicate a specific point or time. In the context of the sentence, "at" correctly specifies the temperature point at which the camel starts to sweat.
• "For", "in", and "with" do not fit grammatically or logically in this context within the sentence structure.

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

Complete Sentence: This means that it starts to sweat at a higher temperature than that which human beings, for example, start to perspire.

Additional Information

• for: Generally indicates purpose or function but does not specify a point in time or condition.
• in: Indicates location or condition but not a specific point of temperature.
• with: Indicates association or accompaniment but does not specify a condition of starting point.

The correct answer is Option 1.

Key Points

• The verb "start" is in the present tense, which appropriately matches "than that which human beings" as a general truth or habitual action.
• The options "started", "starts", and "starting" do not fit as well due to tense inconsistency.

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

Complete Sentence: This means that it starts to sweat at a higher temperature than that which human beings, for example, start to perspire.

Additional Information

• Started: Incorrect because it is past tense and does not fit the context of general truth.
• Starts: Seems redundant given the sentence structure.
• Starting: Incorrect form to fit the conditional comparison.

The correct option is 'Option 2'.

Key Points

• The phrase 'bury one's head in the sand' means to try to avoid a situation which is rather unpleasant by pretending that the problem doesn't exist. (मुसीबतों से आँख मूंद लेना)
• Example- Live with it or bury your head in the sand.
• Hence we can infer that the most approprate option will be 'Option 2'.

Therefore, the correct answer is 'Hides from the truth'.

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

• "To show a blind eye/to turn a blind eye" in 'Option 4'(जानबूझकर ध्यान नहीं देना ): To ignore something that you know is wrong.

        It has the almost same meaning as that of 'Option 2', however, "Option 4" will not be appropriate as per the context of the passage.

• Example- Teachers are turning a blind eye to pupils smoking at school.​

The correct answer is Option 4.

Key Points

• The primary issue in the sentence is the verb agreement with the plural subject "Things that do not come from the ground."
• Plural subjects require a plural verb form.
• The correct phrase should be "are not safe to compost," ensuring grammatical correctness and clarity.

Therefore, the correct answer is Option 4.

Correct Sentence: "Things that do not come from the ground are not safe to compost."

Additional Information

• Option 1: "is not safe" – Incorrect as it does not agree with the plural subject.
• Option 2: "be not safe" – Incorrect as it is not grammatically correct in this context.
• Option 3: "has not been safe" – Incorrect as it changes the tense and meaning of the sentence.

The correct answer is: Option 1.

Key Points

• The word "misssion" is incorrectly spelt. The correct spelling is **"mission". (**मिशन)
• Example: He was on a mission to find the lost treasure.
• "Mission" refers to an important task or duty that a person or group of people is sent somewhere to do. (मिशन)
• Example: The astronauts were on a mission to explore Mars.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Chariots (रथ): A type of ancient two-wheeled vehicle drawn by horses, used in racing and warfare.
• Example: The ancient soldiers rode into battle on chariots.
• Kingdoms (राज्य): A country, state, or territory ruled by a king or queen.
• Example: The medieval kingdoms were often at war with each other.
• Thousand (हजार): The number equivalent to the product of a hundred and ten.
• Example: The stadium can hold up to fifty thousand people.

The correct answer is 'Option 1'.

Key Points

• The word 'Luminous' means giving off light; bright or shining.(चमकदार)
• Example- David's watch has luminous numbers.
• 'Radiant'- Sending out light; shining or glowing brightly.(दीप्तिमान)
• Example- A bird with radiant green and red plumage.
• Hence, we can infer that the synonym of "Luminous" is "Radiant".

Therefore, the correct answer is Radiant.

Additional Information Here are a few other options explained along with their Hindi meaning and example sentences.

• **Laborius(**परिश्रमी): Requiring considerable time and effort.
• Example: The work is very slow and laborious.
• **Amiable(**सुशील): Having or displaying a friendly and pleasant manner.
• Example- Balard had a kind and amiable personality, to which students responded warmly.
• Luxurious(शान शौकत): Extremely comfortable or elegant, especially when involving great expense.
• Example- It was one of the most luxurious hotel rooms we've ever stayed in.

The correct answer is Option 4.

Key Points

• The primary issue in the sentence is the use of an incorrect preposition.
• The phrase "at the door" is not appropriate in this context.
• The correct phrase should be "through the door," which indicates the action of passing from one side of the door to the other.
• Thus, "through" is the most appropriate substitution for the underlined segment.

Therefore, the correct answer is Option 4.

Correct Sentence: "I quietly went out through the door into the veranda."

Additional Information

• No substitution required would be the correct option if the original sentence was already correct, but "at the door" is incorrect in this context.
• From could indicate direction but does not fit well here.
• By indicates proximity but not the action of moving through a door.

The correct answer is 'Option 4'.

Key Points

• The word 'Calamity' means an event causing great and often sudden damage or distress; a disaster.(आपदा)
• Example- We managed to survive the calamity of the fire.

Other options except 'Option 4' are not real words, making 'Option 4' the only suitable option that fits the passage given.

The correct answer is Option 3.

Key Points

• The idiom 'time after time' means again and again; repeatedly.(बार - बार)
• Example - Time after time she gets involved in relationships with the wrong men.
• 'Repeatedly' means over and over again, or many times.(दोहराते हुए)
• Example - Ecologists have repeatedly warned us about the effects of global warming.
• Hence, we can infer that the same meaning of  'time after time' is 'Repeatedly'.

Therefore, the correct answer is 'Repeatedly'.

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

• Twice (दो बार) - Means two times.
  
• Example - She takes the dog for a walk twice daily.
• Once (एक बार) - Means one time only; on one occasion.
• Example - My boss is a nice man once you get to know him
• Rarely (कभी-कभार) - Means something that happens seldom.
• Example - He is rarely seen in public.

The correct answer is Option 2.

Key Points

• The term "over-grazed" addresses the idea that grasslands should not be excessively grazed, which matches the context correctly.
• The phrase "and some areas should be" suggests an appropriate recommendation for action, fitting grammatically and contextually.

​Therefore, the correct answer is Option 2.

Complete Sentence: Grasslands should not be over-grazed and some areas should be closed for grazing.

Additional Information

• Planted or: Incorrect as it changes the meaning and doesn't fit the context.
• Grazed and some places is: Incorrect due to grammatical inconsistency and incorrect verb agreement.
• Cut and few areas: Incorrect as it changes the meaning and doesn't fit the context.

The correct answer is: Option 1.

Key Points

• The word "weight" refers to the measure of how heavy an object is. (वजन)
• Example: The weight of the package was more than expected.
• "weight" is the correct term to describe the heaviness or mass of the whale. (वजन)
• Example: The weight of the whale is 2 tonnes.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Vet (पशु चिकित्सक): A veterinarian or animal doctor.
• Example: The vet examined the injured dog carefully.
• Wet (गीला): Covered or saturated with water or another liquid.
• Example: His clothes were wet after the sudden rain.
• Wait (प्रतीक्षा): The action of staying where one is or delaying action until a particular time or event.
• Example: Please wait here until I come back.

The correct answer is Option 1.

Key Points

• The word 'bright' means having a lot of light; (used about a colour) strong and easy to see.(चमकदार)
• Example - The day was bright and sunny.
• 'Dull' means not interesting or exciting; boring.(उदासीन)
• Example - The color of the walls was dull and lifeless.
• Hence, we can infer that the antonym of 'Bright' is 'Dull'.

Therefore, the correct answer is 'Dull'.

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

• Gleaming (चमचमाती) - Appearing to give off light or brightness; radiant; shining brightly.
• Example - The kitchen is very modern, with gleaming stainless steel surfaces.
• Dazzling (बहुत चमकीला) - Extremely bright or impressive.
• Example - The match showed off his dazzling skills as a footballer.
• Luminous (चमकदार) - Radiating or reflecting light; that shines in the dark.
• Example - Our theory might predict that the most massive galaxies are the most luminous.

The correct answer is: Option 1.

Key Points

• The word "fastest" means moving or capable of moving at high speed. (सबसे तेज)
• Example: He took the fastest train to reach the city.
• "Route" refers to a way or course taken in getting from a starting point to a destination. (मार्ग)
• Example: The route to the village is scenic and beautiful.
• Hence, the phrase "fastest route" implies the quickest way to reach a destination.

Therefore, the correct sentence is: It is the fastest route to reach Delhi.

Additional Information

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

• Quickest route (सबसे तेज मार्ग): This phrase is synonymous with "fastest route" and could also be a correct answer.
• Example: He always searches for the quickest route to avoid traffic.
• Lowest route (सबसे निचला मार्ग): Indicates the route with the lowest elevation, which is not relevant in this context.
• Example: The lowest route through the mountains is often the safest during winter.
• Strongest route (सबसे मजबूत मार्ग): This phrase does not make sense in this context as routes are not described in terms of strength.
• Example: This sentence does not logically fit the context.

The correct answer is: Option 1.

Key Points

• The word "quiet" means making little or no noise; silent or calm. (शांत)
• Example: The library was so quiet that you could hear a pin drop.
• "Quiet" suggests an absence of noise or activity, which fits the context of the cat's stealthy entry. (शांत)
• Example: The quiet cat slipped into the room without anyone noticing.

Therefore, the correct sentence is: The cat’s entry into the store room was quiet

Additional Information

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

• Quit (छोड़ देना): To leave or give up.
• Example: He decided to quit his job to pursue his passion for painting.
• Quite (काफी): To a certain or significant extent.
• Example: She is quite talented in playing the piano.
• Cute (प्यारा): Attractive in a pretty or endearing way.
• Example: The kitten looked very cute as it played with the yarn.

The correct answer is Option 4.

Key Points

• The word 'charming' means very pleasing or attractive.(आकर्षक).
• Example - Everyone I have met has been charming and attractive.
• 'Delightful' means very pleasant, attractive, or enjoyable.(रमणीय,आनंदमय).
• Example - It's a delightful place to spend a holiday.
• Hence, we can infer that the most appropriate option that can substitute the underlined word of 'charming' is 'delightful'.

Therefore, correct answer is Delightful.

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

• Hideous (बहुत भद्दा,घृणित) - very ugly or unpleasant.
• Example - They've just built some hideous new apartment blocks on the waterfront.
• Nasty (बहुत खराब) - very bad or unpleasant.
• Example - She has a nasty habit of biting her fingernails.
• Unpleasant (अप्रिय,अरूचिकर) - causing you to have a bad feeling; not nice.
• Example - There was an unpleasant smell coming from the basement.

The correct answer is: Option 4.

Key Points

• The word "blunt" means straightforward and unceremoniously frank, often to the point of being rudely abrupt. (स्पष्टवादी)
• Example: His blunt remarks during the meeting surprised everyone.
• "Polite" refers to showing good manners towards others, being respectful and considerate. (विनम्र)
• Example: She was very polite and greeted everyone with a warm smile.

Hence, we can infer that the opposite of 'blunt' is 'polite'.

Additional Information

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

• Excited (उत्साहित): Feeling or showing happiness and enthusiasm.
• Example: The children were excited about going to the amusement park.
• Curious (जिज्ञासु): Eager to know or learn something.
• Example: She was curious about the new student who joined their class.
• Dull (मंद): Lacking interest or excitement; boring.
• Example: The lecture was so dull that several students fell asleep.

The correct answer is: Option 1.

Key Points

• The word "Rectify" means to correct something or make it right. (सुधारना)
• Example: The technician was able to rectify the issue with the computer.
• "Correct" refers to making something accurate or free from errors. (सही करना)
• Example: The teacher corrected the mistakes in the student's essay.
• Therefore, the correct answer is: Correct.

Additional Information

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

• Count (गिनती करना): To determine the total number of something.
• Example: She can count to ten in five different languages.
• Consider (विचार करना): To think about something carefully.
• Example: We need to consider all the options before making a decision.
• Connect (जोड़ना): To join or link together.
• Example: The new bridge will connect the two cities.

The correct answer is: Option 2.

Key Points

• The word "transient" means something that lasts only for a short time; temporary. (क्षणिक)
• Example: The transient nature of life makes every moment precious.
• "Permanent" refers to something that lasts or remains unchanged indefinitely; enduring. (स्थायी)
• Example: He found a permanent solution to the recurring problem.
• Hence, we can infer that the opposite of 'transient' is 'permanent'.

Therefore, the correct answer is: Permanent.

Additional Information

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

• Sinful (पापी): Involving or being guilty of immoral actions or behavior.
• Example: He was punished for his sinful actions.
• Joyful (खुश): Feeling, expressing, or causing great pleasure and happiness.
• Example: The joyful celebration lasted all night.
• Unnatural (अप्राकृतिक): Contrary to the ordinary course of nature; abnormal.
• Example: The unnatural color of the sky worried the villagers.

The logic followed here is:

Hence, the correct answer is "OQS".

The rectangles:

So, '10' rectangles are there in the given figure.

Hence, the correct answer is "10".

The logic followed here is:

Logic: (1st number + 2nd number) × 4 = 3rd number.

Now,

For, (6, 12, 72)

⇒ (6 + 12) × 4 = 18 × 4 = 72.

For, (8, 16, 96)

⇒ (8 + 16) × 4 = 24 × 4 = 96.

Similarly, for (12, 24, 144)

⇒ (12 + 24) × 4 = 36 × 4 = 144.

Hence, the correct answer is "Option 3".

Given equation: 15 ÷ 4 - 128 + 123 × 3 = ?

If ‘+' and ‘-’ and ‘×' and '÷' are interchanged then we get:

⇒ 15 × 4 + 128 - 123 ÷ 3 = ?

⇒ 15 × 4 + 128 - 41 = ?

⇒ 60 + 128 - 41 = ?

⇒ 188 - 41 = ? = 147

Hence, the correct answer is "147".

Given equation: 16 ÷ 5 - 24 × 6 + 3 = ?

If ‘+' and ‘-’ and ‘×' and '÷' are interchanged then we get:

⇒ 16 × 5 + 24 ÷ 6 - 3 = ?

⇒ 16 × 5 + 4 - 3 = ?

⇒ 80 + 4 - 3 = ?

⇒ 84 - 3 = ? = 81

Hence, the correct answer is "81".

The logic followed here is:

Hence, the correct answer is "DBY".

The logic followed here is:

• Top number = Bottom number + 2;
• Right number = Top number × Bottom number

Hence, the correct answer is "Option 2".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 2".

The logic followed here is:

Option 1) RTV

Option 2) PRT

Option 3) HJL

Option 4) TVY

Hence, the correct answer is "TVY".

Given Statements:

Some sweaters are jackets.

Some jackets are pullovers.

No pullover is a glove.

The least possible Venn diagram:

Conclusions:

(I) No jacket is a glove. - False (Because, there is no direct relation given between jacket and glove, so it can be possible only)

(II) Some sweaters are pullovers. - False (Because, there is no direct relation given between sweaters and pullovers, so it can be possible only)

So, None of the conclusions follow.

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

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 2".

The image embedded in given figure is as shown below:

Hence, "Option 1" is the correct answer.

The logic followed here is:

DFIK is related to EGJL

GILN is related to HJMO.

Similarly, MORT related to

Hence, the correct answer is "NPSU".

The logic followed here is:

Logic: (1st number × 22) = 2nd number.

Now,

For, 33 : 726

⇒ 33 × 22 = 726.

For, 43 : 946

⇒ 43 × 22 = 946.

Similarly, for 53 ∶ ?

⇒ 53 × 22 = 1166.

Hence, the correct answer is "Option 4".

According to the given information:

So, the code for 'time' = df.

Hence, the correct answer is "df".

For find the opposite surface of 'A', we need to compare the common surface in the given dices,

Now, Letter 'Z' is given in Dice 1 and Dice 2, 

So, From Dice 1 and Dice 2,

When rotate in clockwise direction then we get:

Z ⇔ Z; A ⇔ Y; R ⇔ T

→ Z is the common surface and A, R, Y, T is the adjacent surface.

So, the remaining 'Y' will be the opposite face of 'Z'.

Hence, the correct answer is "Y".

The logic followed here is:

Hence, the correct answer is "277".

The logic followed here is:

Hence, the correct answer is "127".

Given equation: 14 - 15 ÷ 2 + 56 × 14 = ? 

If ‘+' and ‘-’ and ‘×' and '÷' are interchanged then we get:

⇒ 14 + 15 × 2 - 56 ÷ 14 = ? 

⇒ 14 + 15 × 2 - 4 = ?

⇒ 14 + 30 - 4 = ?

⇒ 44 - 4 = ? = 40

Hence, the correct answer is "40".

The image embedded in given figure is as shown below:

Hence, "Option 2" is the correct answer.

According to the given information:

The code for A/B/C = 1/2/4

So, the code for ‘K’ = 6.

Hence, the correct answer is "6".

Given word: 'WANDERLUST'

After arranged in alphabetical order:

Now,

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

Hence, the correct answer is "Option 1".

Family Chart: 

Decoding the Symbols:

Given: S + T ÷ U

It means: S is the father of T and T is the daughter of U.

So, S is the husband of U.

Hence, the correct answer is "S is the husband of U".

The logic followed here is:

Logic: Occupations and their Places of Work.

Here,

Referee : Field → Referee is a person who works in a Field.

Similarly,

Judge : Courtroom → Judge is a person who works in a Courtroom.

Hence, the correct answer is "Option 3".

Given: 10 days before was Sunday and 6 days after will be Tuesday.

Now,

We know that 10 days before today was Sunday.

So, today - 10 days = Sunday.

Similarly, 6 days after today will be Tuesday.

So, today + 6 days = Tuesday.

Now, let us calculate the days of the week:

Counting forward from Sunday for 10 days, we get:

10 days = 10/7 = 1 week and 3 odd days,

So, Sunday + 3 = Wednesday.

Counting forward from Wednesday(Today) for 6 days, we get:

Wednesday + 6 = Tuesday.

So, today is Wednesday.

Hence, the correct answer is "Option 2".

Given:

Sides of the triangle: a = 6 cm, b = 8 cm, c = 10 cm

Formula used:

Area of the triangle using Heron's formula:

Area = $\sqrt{s(s-a)(s-b)(s-c)}$

Where, s = $\dfrac{a + b + c}{2}$

Calculation:

s = $\dfrac{6 + 8 + 10}{2}$

⇒ s = 12 cm

Area = $\sqrt{12(12-6)(12-8)(12-10)}$

⇒ Area = $\sqrt{12 × 6 × 4 × 2}$

⇒ Area = $\sqrt{576}$

⇒ Area = 24 cm²

∴ The correct answer is option 2.

Shortcut Trick 

  6,8,10 is a triplet, making right angle triangle in which 10 is hypotenuse.

So, area of right-angle triangle = 1/2 × 6 × 8 = 24.

Given:

The strength of a school is 640, with the number of boys being 400.

Formula used:

Ratio of girls to boys = Number of girls : Number of boys

Calculation:

Number of girls = Total strength - Number of boys

⇒ Number of girls = 640 - 400

⇒ Number of girls = 240

Ratio of girls to boys = 240 : 400

⇒ Ratio of girls to boys = $\dfrac{240}{400}$

⇒ Ratio of girls to boys = 3 : 5

∴ The correct answer is option 2.

Given:

20% of 35% of a number = 240.8

Formula used:

Let the number be X. We know:

20% of 35% of X = 240.8

⇒ (20/100) × (35/100) × X = 240.8

Calculation:

⇒ (7/100) × X = 240.8

⇒ X = (240.8 × 100) / 7

⇒ X = 3440

Now, find 18% of X:

⇒ 18% of 3440 = (18/100) × 3440

⇒ 18% of 3440 = 619.2

∴ 18% of the number is 619.2 (rounded off to 1 decimal place).

Given:

Marks obtained by Ram in Botany = 95% of 200

Marks obtained by Karn in Botany = 80% of 200

Formula used:

Difference in marks = Ram's marks - Karn's marks

Calculation:

Ram's marks in Botany = (95/100) × 200 = 190

Karn's marks in Botany = (80/100) × 200 = 160

Difference in marks = 190 - 160 = 30

∴ Ram's marks in Botany are 30 more than Karn's marks.

Given:

The speed of a thief is (4/5) times the speed of a policeman. The thief covers a distance of 6 km before he was caught by the policeman in 30 minutes. 

Formula used:

Distance = Speed × Time

Calculation:

Let the speed of the policeman be S km/hr.

⇒ Speed of the thief = (4/5)S km/hr

Time taken to catch the thief = 30 minutes = 0.5 hours

Distance covered by the thief = 6 km

⇒ Speed of the thief = Distance / Time

⇒ (4/5)S = 6 / 0.5

⇒ (4/5)S = 12

⇒ S = 12 × (5/4)

⇒ S = 15 km/hr

Speed of the thief = (4/5) × 15 = 12 km/hr

Relative speed of the policeman with respect to the thief = 15 - 12 = 3 km/hr

Distance covered by the policeman to catch the thief = Relative speed × Time

⇒ Distance = 3 × 0.5

⇒ Distance = 1.5 km

∴ The correct answer is option 1.

Given:

Diameter of larger sphere = 18 cm

Diameter of each paper ball = 2 cm

Formula used:

Volume of a sphere = (4/3)πr³

Calculations:

Radius of larger sphere = 18/2 = 9 cm

Radius of each paper ball = 2/2 = 1 cm

Volume of larger sphere = (4/3)π(9)³

Volume of each paper ball = (4/3)π(1)³

Number of paper balls = Volume of larger sphere / Volume of each paper ball

⇒ Number of paper balls = [(4/3)π(9)³] / [(4/3)π(1)³]

⇒ Number of paper balls = 9³ / 1³

⇒ Number of paper balls = 729

∴ The correct answer is option (4).

Given:

The lengths of the three sides of a triangle are 19 cm, 25 cm and y cm.

Formula used:

For any triangle with sides a, b, and c, the sum of the lengths of any two sides must be greater than the length of the third side.

Therefore, for sides 19 cm, 25 cm, and y cm:

1. 19 + 25 > y
2. 19 + y > 25
3. 25 + y > 19

Calculations:

1. 19 + 25 > y

⇒ 44 > y

⇒ y < 44

2. 19 + y > 25

⇒ y > 25 - 19

⇒ y > 6

3. 25 + y > 19

⇒ This inequality is always true for positive y, so it doesn't provide any new information.

Combining the results from the inequalities:

6 < y < 44

∴ The correct answer is option (1).

Given:

$[6-2{3-4(4\div \frac{1}{4}-1)+2\div \frac{1}{3}}-3\times 2]$

Formula used:

BODMAS Rule (Brackets, Of, Division, Multiplication, Addition, Subtraction)

Calculation:

⇒ $[6-2{3-4(4\times 4-1)+2\times 3}-6]$

⇒ $[6-2{3-4(15)+6}-6]$

⇒ $[6-2{3-60+6}-6]$

⇒ $[6-2{-51}-6]$

⇒ $[6+102-6]$

⇒ 102

∴ The correct answer is option (4).

Given:

After decreasing 30%, an article costs ₹3,500.

Formula used:

Let the actual cost be ₹x

Cost after decreasing 30% = x - 0.3x = 0.7x

Calculation:

0.7x = 3500

⇒ x = 5000

∴ The correct answer is option 3.

Given:

By selling 22 items, Rohit gains the selling price of 6 items.

Formula used:

Gain% = $\dfrac{\text{Gain}}{\text{Cost Price}} \times 100$

Calculation:

Let SP of each item = ₹1

Total SP of 22 items = 22 × 1 = ₹22

Gain = SP of 6 items = ₹6

CP of 22 items = SP of 22 items - Gain = 22 - 6 = ₹16

CP of 1 item = ₹$\dfrac{16}{22}$

⇒ CP of 1 item = ₹$\dfrac{8}{11}$

Gain% = $\dfrac{6}{16} \times 100$

⇒ Gain% = $\dfrac{3}{8} \times 100$

⇒ Gain% = 37¹/₂%

∴ The correct answer is option 4.

Given:

The pie charts show the distribution of overseas tourists by destination and by age group.

Find A (Percentage of tourists who went to Agra, Amritsar, and Kashi):

Agra = 15%

Amritsar = 30%

Kashi = 20%

Total percentage for A = 15% + 30% + 20% = 65%

Find B (Percentage of tourists whose age lies between 2 years and 50 years):

2 to 20 years = 5%

20 to 40 years = 20%

40 to 50 years = 25%

Total percentage for B = 5% + 20% + 25% = 50%

Find the ratio A : B

A : B = 65% : 50%

⇒ A : B = 65 : 50

⇒ A : B = 13 : 10

∴ The ratio A : B is 13:10.

Given:

Principal (P) = ₹36,000

Time (t) = 2 years

Rate for 1^st year (r₁) = 8%

Rate for 2^nd year (r₂) = 6%

Formula used:

Simple Interest (SI) = $\frac{P \times r \times t}{100}$

Amount (A) = Principal (P) + Simple Interest (SI)

Calculation:

SI₁ for 1^st year = $\frac{36000 \times 8 \times 1}{100}$

⇒ SI₁ = ₹2,880

SI₂ for 2^nd year = $\frac{36000 \times 6 \times 1}{100}$

⇒ SI₂ = ₹2,160

Total SI = SI₁ + SI₂

⇒ Total SI = ₹2,880 + ₹2,160 = ₹5,040

Amount (A) = Principal (P) + Total SI

⇒ Amount (A) = ₹36,000 + ₹5,040 = ₹41,040

∴ The correct answer is option 1.

Given:

For Grade 10, the percentages and full marks are:

Economics: 90% of 100

English: 75% of 80

History: 80% of 50

Calculation:

1. Economics marks = (90/100) × 100 = 90
2. English marks = (75/100) × 80 = 60
3. History marks = (80/100) × 50 = 40

Total Marks:

Total marks = 90 + 60 + 40 = 190

Conclusion:

The total marks obtained by Grade 10 students is 190.

Given:

A metallic sphere of volume 3136 π cm³ is melted and recast into smaller cones, each of radius 3.5 cm and height 4 cm.

Formula used:

Volume of sphere = Volume of cone × Number of cones

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

Volume of cone = $\frac{1}{3}\pi r^2h$

Calculation:

Given volume of sphere = 3136 π cm³

Radius of cone (r) = 3.5 cm

Height of cone (h) = 4 cm

Volume of one cone = $\frac{1}{3}\pi (3.5)^2 \times 4$

⇒ Volume of one cone = $\frac{1}{3}\pi \times 12.25 \times 4$

⇒ Volume of one cone = $\frac{1}{3} \times 49\pi$

⇒ Volume of one cone = 16.33 π cm³

Number of cones = $\frac{Volume \ of \ sphere}{Volume \ of \ one \ cone}$

⇒ Number of cones = $\frac{3136\pi}{16.33\pi}$

⇒ Number of cones = 192

∴ The correct answer is option (1).

Given:

The price of an electronic watch is first reduced by 25% and then increased by 50%. The resulting price is ₹7,650.

Formula used:

Let the original price be P.

After a 25% reduction, the price becomes P - 0.25P = 0.75P.

After a 50% increase, the price becomes 0.75P + 0.5(0.75P) = 1.125P.

We know that 1.125P = ₹7,650.

Calculation:

1.125P = 7,650

⇒ P = 6,800

∴ The correct answer is option (2).

Given:

Total marks scored by Sanya = 450

Central angles:

• (Physics and Hindi) = 156°
• (Chemistry and Physics) = 144°
• (Hindi and Chemistry) = 140°

Formula used:

Total central angle = 360°

Marks corresponding to a subject = (Central angle of the subject / Total central angle) × Total marks

Calculation:

Sum of central angles for Physics, Chemistry, and Hindi = (156° + 144° + 140°) / 2 = 220°

Central angle for English and Biology = 360° - 220°

⇒ Central angle for English and Biology = 140°

Marks for English and Biology = (140 / 360) × 450

⇒ Marks = (7 / 18) × 450

⇒ Marks = 175

∴ The total marks obtained by Sanya in English and Biology is 175 marks.

Given:

Total expenditure on education = ₹23,520

Percentage spent on education = 28%

Percentage spent on clothing = 12%

Formula used:

Total Expenditure = (Expenditure on education / Percentage spent on education) × 100

Expenditure on clothing = (Percentage spent on clothing / 100) × Total Expenditure

Calculation:

Total Expenditure = (23,520 / 28) × 100 = 84,000

Expenditure on clothing = (12 / 100) × 84,000

⇒ Expenditure on clothing = 10,080

∴ The expenditure on clothing is ₹10,080.

Given:

Circle with center O

Diameter AB extended to point C

CD is a tangent at point D

Radius of circle (OD = OB = OA) = 6 cm

∠DBC = 120°

Formula Used:

Angle in a straight line = 180°

Angle between tangent and radius at the point of contact = 90° (∠ODC = 90°)

Sum of angles in a triangle = 180°

Trigonometric ratios in a right-angled triangle: tan(θ) = Opposite side / Adjacent side

Calculation:

∠OBD + ∠DBC = 180° (angles in a straight line)

∠OBD + 120° = 180°

∠OBD = 180° - 120° = 60°

In triangle OBD, OB = OD (radii of the same circle).

∠ODB = ∠OBD = 60°

In triangle OBD, ∠BOD + ∠OBD + ∠ODB = 180° (sum of angles in a triangle)

∠BOD + 60° + 60° = 180°

∠BOD + 120° = 180°

∠BOD = 180° - 120° = 60°

Since all angles in triangle OBD are 60°, triangle OBD is an equilateral triangle.

Therefore, OB = OD = BD = 6 cm.

Using trigonometry in right-angled triangle ODC:

tan(∠DOC) = CD / OD

tan(60°) = CD / 6

$\sqrt{3}$ = CD / 6

CD = 6$\sqrt{3}$ cm

∴ The length of CD is $6\sqrt{3}$ cm.

Given:

7 cos A + 24 sin A + 32

Formula used:

Maximum value of a cos θ + b sin θ is $\sqrt{a^2 + b^2}$

Calculation:

Given expression: 7 cos A + 24 sin A + 32

Maximum value of 7 cos A + 24 sin A = $\sqrt{7^2 + 24^2}$

⇒ $\sqrt{49 + 576}$

⇒ $\sqrt{625}$

⇒ 25

Adding 32 to the maximum value:

⇒ 25 + 32 = 57

∴ The correct answer is option (3).

Given:

In the diagram, $\overline{AB}||\overline{CE}$, AG = GD = DH = HB

Formula used:

If two lines are parallel, corresponding angles are equal.

Calculation:

I. $\Delta ACG \cong \Delta BEH$

Since $\overline{AB}||\overline{CE}$ and AG = GD = DH = HB, the corresponding angles are equal.

⇒ $\Delta ACG \cong \Delta BEH$

II. $\Delta CDE \cong \Delta DEB$

Since $\overline{AB}||\overline{CE}$ and AG = GD = DH = HB, the corresponding angles are equal.

⇒ $\Delta CDE \cong \Delta DEB$

III. $\Delta HFB \cong \Delta AFG$

Since $\overline{AB}||\overline{CE}$ and AG = GD = DH = HB, the corresponding angles are equal.

But no relation is given about side AF, BF, or angles of the triangle HFB and AFG,

hence, this statement is not right.

∴ The correct answer is option (4).

Given:

By decreasing 17º from each angle of a triangle, the ratio of their angles is 3:4:7. The radian measure of the greatest angle is:

Formula used:

Sum of angles in a triangle = 180º

Conversion of degrees to radians: $\frac{\pi}{180}$

Calculation:

Let the angles be 3x, 4x, and 7x after decreasing 17º:

3x + 4x + 7x = 180 - 3×17

⇒ 14x = 180 - 51

⇒ 14x = 129

⇒ x = 129/14

Greatest angle = 7x + 17 = 7 × (129/14) + 17

⇒ Greatest angle = 64.5 + 17 = 81.5º

Radian measure: 81.5º × $\frac{\pi}{180}$

⇒ 81.5 × $\frac{\pi}{180}$

⇒ $\frac{163 \pi}{360}$

∴ The correct answer is option (1).

Given:

$\dfrac{11 \dfrac{1}{4}}{3 \dfrac{3}{5}} \times 6 \dfrac{2}{3} + \dfrac{1}{6} = ?$

Formula used:

Convert mixed numbers to improper fractions

Calculation:

$\dfrac{11 \dfrac{1}{4}}{3 \dfrac{3}{5}} \times 6 \dfrac{2}{3} + \dfrac{1}{6} = ?$

11¹/₄ = 45/4

3³/₅ = 18/5

6²/₃ = 20/3

⇒ $\dfrac{45}{4} \div \dfrac{18}{5} \times \dfrac{20}{3} + \dfrac{1}{6}$

⇒ $\dfrac{45}{4} \times \dfrac{5}{18} \times \dfrac{20}{3} + \dfrac{1}{6}$

⇒ $\dfrac{45 \times 5 \times 20}{4 \times 18 \times 3} + \dfrac{1}{6}$

⇒ $\dfrac{4500}{216} + \dfrac{1}{6}$

⇒ $\dfrac{4500 + 36}{216}$

⇒ $\dfrac{4536}{216}$

⇒ $21$

∴ The correct answer is option (2).

Given:

A shopkeeper sells an item at 20% discount on the marked price and earns a profit of 90%. If he sells the same item at 40% discount, then his new profit percentage will be:

Formula used:

Let Marked Price (MP) = 100

Discount = 20%

Selling Price (SP) = MP - Discount

Cost Price (CP) = SP / (1 + Profit%)

New Discount = 40%

New Selling Price (NSP) = MP - New Discount

New Profit % = (NSP - CP) / CP × 100

Calculation:

Let Marked Price (MP) = 100

Discount = 20%

Selling Price (SP) = 100 - 20 = 80

Profit = 90%

Cost Price (CP) = 80 / 1.90

⇒ CP = 42.105

New Discount = 40%

New Selling Price (NSP) = 100 - 40 = 60

New Profit % = (60 - 42.105) / 42.105 × 100

⇒ New Profit % = 17.895 / 42.105 × 100

⇒ New Profit % ≈ 42.5%

∴ The correct answer is option 1.

Given:

Weight of each added student = 30 kg

Increase in average after first student = 1 kg

Increase in average after second student = 1.5 kg over original average

Formula used:

Let original number of students be n and original average weight be A kg.

After first student is added:

(nA + 30) / (n + 1) = A + 1

After second student is added:

(nA + 60) / (n + 2) = A + 1.5

Calculations:

(nA + 30) / (n + 1) = A + 1

⇒ nA + 30 = (A + 1)(n + 1)

⇒ nA + 30 = An + A + n + 1

⇒ 30 = A + n + 1

⇒ 29 = A + n ... (1)

(nA + 60) / (n + 2) = A + 1.5

⇒ nA + 60 = (A + 1.5)(n + 2)

⇒ nA + 60 = An + 1.5n + 2A + 3

⇒ 60 = 1.5n + 2A + 3

⇒ 57 = 1.5n + 2A ... (2)

From (1): A = 29 - n

Substitute into (2):

57 = 1.5n + 2(29 - n)

⇒ 57 = 1.5n + 58 - 2n

⇒ 57 = 58 - 0.5n

⇒ -1 = -0.5n

⇒ n = 2

From (1): A = 29 - 2

⇒ A = 27

∴ The correct answer is option (2).

Given:

A can finish a piece of work by working alone in 4 days.

B, while working alone, can finish the same work in 12 days.

Formula used:

Work rate of A = 1/4

Work rate of B = 1/12

Combined work rate of A and B = (1/4) + (1/12)

Calculation:

Combined work rate of A and B = (1/4) + (1/12)

⇒ Combined work rate of A and B = (3/12) + (1/12)

⇒ Combined work rate of A and B = 4/12

⇒ Combined work rate of A and B = 1/3

⇒ Time taken to complete the work together = 1 / (1/3)

⇒ Time taken to complete the work together = 3 days

∴ The correct answer is option (4).

Alternate Method  L.C.M (4,12) = 12 (Total work)

A does = 12/4 = 3 units of work in one day.

B does = 12/12 = 1 unit of work in one day.

Together A and B do = 3+1 = 4 units of work in one day.

So, they finish work in 12 / 4 = 3 days.

The correct answer is Cricket.

Key Points

• Cricket is not currently included in the Olympics, but it is scheduled to be included in the 2028 Summer Olympics in Los Angeles.
• The LA28 Organizing Committee has proposed including cricket in the 2028 games as one of five additional sports.
• Cricket was originally scheduled to be included in the 1896 Athens Olympics, but was later removed due to a lack of entries.
• It was included in the 1900 Paris Olympics, where Great Britain won the 12-a-side match over France.

Additional Information

• 3×3 Basketball made its Olympic debut at the Tokyo 2020 Games, highlighting the evolution of Olympic sports to include new formats.
• Rowing has been a part of the modern Olympics since 1900, showcasing a long history in the Games.
• The latest games included in the Olympics are breaking, skateboarding, sport climbing, and surfing, featured in the 2024 Paris Olympic Games.
• The  International Olympic Council(IOC) also proposed ski mountaineering as a new winter sport for the 2026 Winter Olympics in Milano Cortina.

Important Points

• International Olympic Committee
• The IOC was founded on June 23, 1894, by Pierre de Coubertin in Paris, France.
• The IOC is headquartered in Lausanne, Switzerland.
• The IOC’s mission is to promote the Olympic Movement, which aims to contribute to building a peaceful and better world through sport.
• The IOC is responsible for organizing the Summer and Winter Olympic Games, held every four years for each, with the Games alternating every two years.

The correct answer is Ruchira Kamboj.

Key Points

• Ruchira Kamboj has been elected as the Chair of the 62nd session of the United Nations Commission for Social Development held from February 5–14, 2024, at the United Nations Headquarters in New York.
• She is an experienced diplomat, having served in various roles in India’s Ministry of External Affairs.
• Kamboj is committed to addressing critical social issues, including poverty alleviation, employment, and social integration.
• She strongly focuses on gender equality and the empowerment of women and children in her policy initiatives.
• Her leadership position reflects India's active role in international organizations and its commitment to social development.

Additional Information

• BM Vinod Kumar
• A seasoned diplomat with experience in international relations, particularly in the field of trade and commerce.
• He has served in various capacities at the Indian Embassy in different countries, contributing to India’s bilateral relations.
• Known for his expertise in economic diplomacy and trade negotiations.
• Has participated in numerous international forums addressing trade and development issues.
• Satinder Kumar Lambah
• A retired Indian diplomat, known for his extensive experience in foreign policy and security issues.
• Former Secretary (East) in the Ministry of External Affairs and India’s Special Envoy for Disarmament.
• Contributed to various discussions and papers on international relations and strategic studies.
• Often engaged in think tanks and advisory boards focusing on foreign policy.
• Nirupama Menon Rao
• A former Indian Foreign Secretary and Ambassador to the United States and China, with a strong diplomatic background.
• Advocate for women's rights and empowerment in her diplomatic and public service roles.
• Actively participates in discussions and seminars on international relations, focusing on South Asian politics.
• Writes on foreign policy and international affairs, contributing to various publications and forums.

The correct answer is Madhya Pradesh.

Key Points

• Baiga is a traditional folk music form of the Baiga tribe, which is indigenous to the central region of India.
• The Baiga tribe is known for its rich cultural heritage, which includes unique music, dance, and art forms.
• The music often reflects themes related to nature, agriculture, and the daily lives of the Baiga people, showcasing their connection to the environment.
• Baiga folk music is typically performed during festivals, rituals, and community gatherings, emphasizing the tribe's social cohesion and cultural identity.

Additional Information 

• Uttarakhand
• Known for its vibrant folk music and dance forms, including "Garhwali" and "Kumaoni" music, reflecting the region's traditions.
• Celebrates various festivals with music, such as "Nanda Devi Mela" and "Kumbh Mela," showcasing local artists.
• Assam
• Famous for the Bihu festival, which features lively folk songs and dances celebrating the Assamese New Year.
• Incorporates different styles influenced by various ethnic communities, showcasing a rich musical tapestry.
• Bihar
• Known for its folk traditions, including Maithili and Bhojpuri songs, often focusing on themes of love, nature, and social issues.
• Celebrates festivals like Chhath Puja with traditional music that resonates with local customs and beliefs.

The correct answer is Coal.

Key Points

• Jharkhand and Chhattisgarh are known for their rich deposits of coal, which play a significant role in India's energy production.
• Jharkhand houses major coal fields like the Jharia and Bokaro coalfields, while Chhattisgarh has the Korba coalfield.
• Coal mining is a critical economic activity in both states, contributing significantly to local and national economies.
• The coal extracted from these regions is primarily used for power generation, supporting various industries across the country.

Additional Information

• Silicon
• While silicon is used in various industries, including electronics and solar energy, it is not a major deposit in Jharkhand or Chhattisgarh.
• Silicon is found in minerals like quartz, but not specifically highlighted as a key resource in these states.
• Petroleum
• Jharkhand and Chhattisgarh have some petroleum deposits, but they are not significant compared to other regions in India, such as Assam or Gujarat.
• Efforts are ongoing to explore and enhance petroleum extraction in these areas, but coal remains the primary resource.
• Gold
• Karnataka is the largest producer of gold in India, accounting for 80% of the country's gold production.
• The Kolar Gold Fields in Karnataka is the largest gold mine in India.

The correct answer is By its address.

Key Points

• Each memory cell in a computer's RAM is assigned a unique address that the CPU uses to access and manage data.
• When the CPU needs to read or write data, it specifies the address of the memory cell involved in the operation.
• The CPU uses an address bus to send the memory address to the memory, allowing it to communicate with the appropriate memory cell.
• This addressing scheme enables the CPU to efficiently manage and organize data in memory, ensuring quick access to the required information.

Additional Information

• By its byte size
• Byte size refers to the amount of data that can be stored in a memory cell (typically 8 bits).
• While byte size is important for data representation, it does not help in distinguishing between individual memory cells.
• By its capacity
• Capacity refers to the total amount of data that can be stored in memory (e.g., 4GB, 8GB).
• Capacity is a broader measure and does not specify individual memory locations.
• By its data item
• Data items refer to the type of data stored (e.g., integer, character).
• Different memory cells can store various data items, but this does not provide a unique identifier for each cell.