SSC CHSL Tier-1 2024: Official Paper (Held On: 09 Jul, 2024 Shift 2) (Previous Year Paper)

The correct answer is Option 3)

Key Points

• In the third part of the given sentence, the use of the definite article 'the' is incorrect.
• In sentences where the name of the airport is mentioned, the definite article 'the' is typically not used.
• Therefore, the correct form should be 'Mumbai airport' instead of 'the Mumbai airport'.

Hence, the correct sentence is: Our plane arrived at Mumbai airport at the right time.

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Additional Information

• When referring to a specific airport by its name, the definite article 'the' is usually omitted.
• Example: He is flying to Los Angeles International Airport.
• However, when referring to an airport in a general sense without its specific name, the definite article 'the' can be used.
• Example: He is waiting at the airport.

The correct answer is Option 2)

Key Points

• In the given sentence, the word 'few' is used to denote an indefinite, small number of rocks, but it should be 'a few' to indicate a small number of rocks specifically.
• Therefore, the correct sentence should be: This is the story of eight round planets, a few rocks in between, and some comets.

Hence, the correct statement is: This is the story of eight round planets, a few rocks in between, and some comets.

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Additional Information

• The term 'a few' is used to indicate a small number of something, which is not zero, but not many.
• The term 'few' generally implies almost none, which is not the intended meaning in the given sentence.

The correct answer is Option 4)

Key Points

• In the first part of the given sentence, the plural form of the verb 'have' is incorrect.
• In the given sentence, the subject 'Everyone' is singular.
• The verb should agree with the singular subject, thus the singular form of the verb should be used.
• Example: Everyone has the right to speak.
• Therefore, the singular form of the verb 'has' should be used in place of the plural form 'have'.
  

Hence, the correct statement is: Everyone has to join health orientation classes before going for trekking.

The correct answer is Option 4)

Key Points

• In the fourth part of the given sentence, the adjective form 'truthful' is incorrect.
• The correct form should be the adverb form 'truthfully', as it describes the verb 'answered'.
• Example: He truthfully answered the questions.

Hence, the correct statement is: It was noticed that he truthfully answered the questions raised by the Headmistress.

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Additional Information

• Adjectives describe nouns, while adverbs describe verbs, adjectives, or other adverbs.
• Using the correct form ensures that the sentence is grammatically correct and conveys the intended meaning.
• Example: She is a quick runner. (adjective describing the noun 'runner')
• Example: She runs quickly. (adverb describing the verb 'runs')

The correct answer is Option 1)

Key Points

• "Occupies" is a third-person singular present tense verb which correctly matches the singular subject "India."
• This choice maintains grammatical agreement between the subject "India" and the verb.
• It accurately conveys the current status of India holding the tenth place**, implying present relevance.**
• The context of the passage suggests a factual statement about India’s current ranking in plant species, needing the present tense.
• Using "occupies" ensures clarity and precision, highlighting India's position in the present context.
• The use of "occupies" smoothly integrates into the narrative flow of the passage, aligning with other present tense verbs.

Therefore, the correct answer is 'Option 1'.

Additional Information

• "Have" is incorrect because it does not agree in number with the singular subject "India."
• "Had" implies past tense, which is not appropriate for the current context of the passage.
• "Occupy" is incorrect as it is a base form and does not match the singular subject "India."

The correct answer is Option 1)

Key Points

• "About" appropriately estimates the approximate number of flowering plants, aligning with "47,000 plant species" mentioned earlier.
• The word "about" correctly conveys an approximation and fits the context of providing an estimated figure.
• It maintains coherence with the general nature of scientific description, which often uses approximations.
• In the context, "about" is needed to introduce an approximate figure, ensuring the text remains informative and accurate.
• The use of "about" helps maintain a flow and continuity in the passage, corresponding with how numbers and quantities are presented.
• It correctly modifies the following numeral, providing clarity and precision in the enumeration of plant species.

Therefore, the correct answer is 'Option 1'.

Additional Information

• "Of" would not make sense in this context as it doesn’t indicate approximation.
• "A" is not appropriate as it implies a singular item, not an approximate number.
• "Many" indicates a large, unspecified quantity and does not fit well with the context which requires an approximate figure.

The correct answer is Option 2)

Key Points

• "Total" is the most appropriate term to describe the sum or entirety of the world's flowering plants.
• It provides a clear and accurate quantification, which is essential for scientific and factual statements.
• Using "total" ensures the sentence makes logical sense, indicating that 15,000 flowering plants in India account for 6 percent of the world's complete number.
• This choice is grammatically correct and fits naturally within the context of the sentence.
• It aligns with the preceding passage which uses specific figures and percentages to describe biodiversity.
• "Total" succinctly summarizes the idea of encompassing all flowering plants globally, reinforcing the comprehensiveness of the data provided.

Therefore, the correct answer is 'Option 1'.

Additional Information

• "Exactly" would incorrectly imply precision in counting, which is unnecessary and shifts the focus from the entirety to precision.
• "Exact" functions as an adjective but does not modify "number" appropriately in this context.
• "Nearly" implies approximation, which is inconsistent with the context requiring a description of the complete number.

The correct answer is Option 3)

Key Points

• "Such" is used to introduce examples, fitting well with the examples given (ferns, algae, and fungi).
• It correctly forms the phrase "such as," which is commonly used for listing examples.
• This choice maintains the grammatical flow of the sentence, ensuring clarity and precision.
• "Such as" is more specific than just "as," providing context that the items listed are representative examples.
• Using "such" avoids ambiguity and directly tells the reader that the following items are types of non-flowering plants.
• It aligns with common usage in scientific and informative texts to provide clear examples.

Therefore, the correct answer is 'Option 3'.

Additional Information

• "In" does not fit the context; it is generally used to specify location or a situation.
• "For" would imply a purpose or reason, which is not relevant here.
• "As" alone would not effectively introduce the examples in this context without "such".

The correct answer is Option 1)

Key Points

• The term "species" is used in biology to refer to groups of organisms that share common characteristics and can interbreed.
• India has a vast range of animal diversity, so the word "species" accurately reflects this variety.
• "Species" is the correct plural form for multiple groups of animals, which aligns with the context provided.
• The previous sentence mentions "non-flowering plants" in plural, thus harmonizing with plural "species."
• "Species" covers all kinds of animal groups, which include mammals, birds, reptiles, and insects among others.
• In scientific terms, "species" is consistently used to classify and discuss biodiversity matters.

Therefore, the correct answer is 'Option 1'.

Additional Information

• "Specie" is an incorrect singular form and not suitable for the plural context of the sentence.
• "Kind" is less specific and doesn't accurately represent the wide range of animals.
• "Type" is too general and not typically used in biological classification for groups of animals.

The correct answer is Option 2)

Key Points

• The word "Condimnation" is incorrectly spelt. The correct spelling is "Condemnation".
• Example: The government's condemnation of the attack was swift and unequivocal.
• "Condemnation" means the expression of very strong disapproval; censure. (निंदा)
• Example: The judge's condemnation of the crime was harsh but fair.

Therefore, the correct answer is Option 2)

Additional Information

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

• Imprisonment (कैद): The state of being imprisoned; confinement.
• Example: He was sentenced to five years of imprisonment for the crime.
• Intermingled (मिश्रित): Mixed together.
• Example: The cultures intermingled to create a unique community.
• Conglomerate (संघ): A large corporation formed by the merging of separate and diverse firms.
• Example: The company grew into a massive conglomerate with interests in various industries.

The correct answer is Option 1)

Key Points

• The word "there" is used to refer to a place, location, or position. (वहाँ)
• Example: She stood there waiting for the bus.
• The correct word should be "their", which is a possessive pronoun used to indicate ownership by a group of people. (उनका/उनकी/उनके)
• Example: They took their dog for a walk in the park.

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

Additional Information

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

• Thrilled (रोमांचित): Feeling intense excitement.
• Example: She was thrilled to receive the award.
• Heard (सुना): Past tense of hear; to have perceived sound.
• Example: He heard a strange noise coming from the attic.
• Journey (यात्रा): An act of traveling from one place to another.
• Example: Their journey to the mountains was breathtaking.

The correct answer is Optional 2)

Key Points

• The idiom "A piece of cake" means something that is very easy to do. (बहुत आसान काम)
• Example: The exam was a piece of cake for Sarah; she finished it in just 20 minutes.
• Option 2: The restaurant was crowded, but they found a table without any difficulty. (रेस्टोरेंट भीड़भाड़ वाला था, लेकिन उन्हें आसानी से एक टेबल मिल गई।)
• Example: Finding a parking spot was a piece of cake today.

Therefore, the correct answer is: 'Option 2.'

Additional Information

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

• Option 1: After months of practice, Emily performed her piano piece flawlessly during the concert. (कई महीनों के अभ्यास के बाद, एमिली ने कॉन्सर्ट में अपने पियानो का टुकड़ा बिना गलती के प्रस्तुत किया।)
• Example: The project was challenging, but after hard work, it was completed successfully.
• Option 3: Despite the heavy rain, they managed to have a successful outdoor event. (भारी बारिश के बावजूद, उन्होंने एक सफल आउटडोर कार्यक्रम आयोजित किया।)
• Example: The event was not a piece of cake, but they managed to pull it off.
• Option 4: The puzzle was so challenging that it took hours for Sam to solve it. (पहेली इतनी चुनौतीपूर्ण थी कि सैम को इसे हल करने में घंटों लग गए।)
• Example: Solving that puzzle was definitely not a piece of cake.

The correct answer is Option 2)

Key Points

• The phrase "considered in every point of view" means to examine or think about something from all possible angles or perspectives. (हर दृष्टिकोण से विचार करना)
• Example: In order to make a fair decision, the judge considered the case in every point of view.
• "from every point" indicates examining something from every perspective or angle. (हर दृष्टिकोण से)
• Example: We need to analyze the project from every point before moving forward.
• Hence, we can infer that the correct phrase to use in the given context is 'from every point'.

Therefore, the correct answer is: 'Option 2.'

Additional Information

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

• on every point (हर बिंदु पर): This phrase is not commonly used and does not fit well in the given context.
• Example: He insisted on every point without considering the overall picture.
• of every point (हर बिंदु का): This phrase is also not commonly used and is not appropriate in the given context.
• Example: The analysis of every point was thorough, but it missed the broader perspective.
• at every point (हर बिंदु पर): This phrase is incorrect for the given context as it implies specific locations rather than perspectives.
• Example: Security checks were conducted at every point along the route.

The correct answer is Option 2)

Key Points

• The phrase "Once bitten, twice shy" means that after having a bad experience, one is likely to be more cautious in the future. (एक बार काटा, दो बार शर्मिंदा)
• Example: After losing a lot of money in the stock market, he's now twice shy about investing.
• "Twice shy" refers to being cautious or wary after a previous bad experience. (दो बार शर्मिंदा)
• Example: She was twice shy after her first relationship ended badly.
• Hence, we can infer that the correct substitution for the underlined segment is 'twice shy'.

Therefore, the correct answer is: twice shy.

Additional Information

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

• Never shy (कभी शर्मिंदा नहीं): Indicates a person who is never hesitant or shy.
• Example: He is never shy when it comes to speaking in public.
• Always shy (हमेशा शर्मिंदा): Indicates a person who is always hesitant or shy.
• Example: She is always shy in social gatherings.
• Once shy (एक बार शर्मिंदा): Refers to being shy or cautious just once.
• Example: After the incident, he was once shy but soon gained confidence.

The correct answer is Option 4)

Key Points

• The idiom "Under the weather" means to feel unwell or sick. (बीमार महसूस करना)
• Example: I've been feeling under the weather since yesterday, so I decided to stay home from work.
• "To feel unwell" refers to a state of not feeling healthy or experiencing discomfort. (अस्वस्थ महसूस करना)
• Example: She has been feeling unwell and needs to see a doctor.
• Therefore, the correct answer is: To feel unwell.

Additional Information

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

• To enjoy the weather (मौसम का आनंद लेना): To take pleasure in the current weather conditions.
• Example: We went to the beach to enjoy the weather.
• To feel secure (सुरक्षित महसूस करना): To feel safe and free from danger or threat.
• Example: She felt secure knowing that the doors were locked.
• To work against the weather (मौसम के खिलाफ काम करना): To perform tasks despite unfavorable weather conditions.
• Example: The construction workers continued to work against the weather to complete the project on time.

The correct answer is Option 1)

Key Points

• The word "light" means the natural agent that stimulates sight and makes things visible. (प्रकाश)
• Example: The room was filled with natural light coming through the large windows.
• "Light" refers to the brightness from the sun, a lamp, etc., that allows you to see things. (प्रकाश)
• Example: The light from the streetlamp cast a soft glow over the park.

Therefore, the correct answer is: 'light.'

Additional Information

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

• Lucent (प्रकाशमान): Glowing with or giving off light.
• Example: The lucent moon shone brightly in the night sky.
• Sparkle (चमक): To shine brightly with flashes of light.
• Example: The diamond ring sparkled under the light.
• Gelam (अज्ञात शब्द): This word does not have a widely recognized meaning in English.

The correct answer is Option 3)

Key Points

• The word "Hypocrisy" means the practice of claiming to have moral standards or beliefs to which one's own behavior does not conform; pretense. (पाखंड)
• Example: His hypocrisy was evident when he criticized others for cheating while he himself was dishonest.
• "Deceit" refers to the action or practice of deceiving someone by concealing or misrepresenting the truth. (धोखा)
• Example: She was accused of deceit for lying about her qualifications on her resume.

Hence, we can infer that the synonym of 'hypocrisy' is 'deceit'.

Additional Information

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

• Sincerity (ईमानदारी): The quality of being free from pretense, deceit, or hypocrisy.
• Example: Her sincerity was evident in her heartfelt apology.
• Harm (हानि): Physical injury, especially that which is deliberately inflicted.
• Example: Smoking can cause serious harm to your health.
• Truth (सत्य): The quality or state of being true.
• Example: The truth is often stranger than fiction.

The correct answer is Option 3)

Key Points

• The word "normal" means something that is usual, typical, or expected. (सामान्य)
• Example: It is normal to feel nervous before an exam.
• "Eccentric" refers to someone or something that is unconventional and slightly strange; it deviates from what is considered normal. (असामान्य)
• Example: His eccentric behavior often left people baffled.
• Hence, we can infer that the opposite of 'normal' is 'eccentric'.

Therefore, the correct answer is: eccentric.

Additional Information

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

• Selfish (स्वार्थी): Lacking consideration for others; concerned chiefly with one's own personal profit or pleasure.
• Example: His selfish actions alienated his friends.
• Feeble (निर्बल ): Lacking physical strength, especially as a result of age or illness.
• Example: After the long illness, she felt extremely feeble.
• Dogmatic (हठी): Inclined to lay down principles as incontrovertibly true.
• Example: He was dogmatic in his beliefs and would not listen to anyone else's opinion.

The correct answer is Option 4)

Key Points

• The word "fearful" means feeling afraid or showing fear; full of fear. (डरपोक)
• Example: She was fearful of the dark and always kept a light on at night.
• "fearful" refers to being afraid of something, similar to how someone can be scared of snakes. (डरपोक)
• Example: He is fearful of heights and avoids tall buildings.

Therefore, the correct answer is: fearful.

Additional Information

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

• Passionate (उत्साही): Having or showing strong feelings or a strong belief.
• Example: She is passionate about painting and spends hours at her canvas.
• Critical (आलोचनात्मक): Expressing adverse or disapproving comments or judgments.
• Example: He is critical of every decision made by the management.
• Fond (प्रेमी): Having an affection or liking for.
• Example: She is very fond of children and enjoys spending time with them.

The correct answer is Option 2)

Key Points

• The word "Bliss" means a state of extreme happiness or joy. (परमानंद)
• Example: She felt pure bliss when she held her newborn baby for the first time.
• "Pleasure" refers to a feeling of happy satisfaction and enjoyment. (सुख)
• Example: He took great pleasure in listening to classical music.
• Hence, we can infer that the synonym of 'Bliss' is 'Pleasure'.

Therefore, the correct answer is: 'Option 2.'

Additional Information

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

• Consecration (अभिषेक): The action of making or declaring something sacred.
• Example: The consecration of the new church took place last Sunday.
• Avail (लाभ): Use or take advantage of an opportunity or available resource.
• Example: He tried to fix the problem, but to no avail.
• Genesis (उत्पत्ति): The origin or mode of formation of something.
• Example: The genesis of the idea can be traced back to his early childhood.

The correct answer is Option 4)

Key Points

• The word "intense" means something that is very strong, extreme, or having a high degree of strength or force. (तीव्र)
• Example: The intense heat of the desert made it difficult to travel during the day.
• "Strong" refers to having great physical power or force; it can also mean something that is intense or powerful. (मजबूत)
• Example: The strong winds caused the trees to sway violently.

Hence, we can infer that the synonym of "intense" is "strong".

Additional Information

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

• Weak (कमजोर): Lacking physical strength or power.
• Example: The weak bridge could not withstand the heavy load.
• Subtle (सूक्ष्म): So delicate or precise as to be difficult to analyze or describe.
• Example: There was a subtle change in her expression that only a few noticed.
• Mild (हल्का): Not severe or strong; gentle.
• Example: The weather was mild and pleasant, perfect for a walk in the park.

The correct answer is Option 3)

Key Points

• "Finished her breakfast quickly" accurately and grammatically places the adverb "quickly" to describe the manner in which she finished her breakfast.
• This option ensures that the subject "She" and the verb "finished" are correctly aligned, maintaining clear subject-verb agreement.
• It logically orders the sentence, making it easy to understand that she finished eating her breakfast in a quick manner.
• The structure adheres to standard English.
• syntax: subject + verb + object + adverb.
• Placing "quickly" after "breakfast" avoids misplaced modifiers and ensures that "quickly" modifies how she finished her breakfast.
• This construction provides a natural, fluent reading experience, enhancing readability.

Therefore, the correct answer is 'Option 3'.

Additional Information

• "Her breakfast finished quickly" incorrectly suggests that the breakfast itself is performing the action of finishing.
• "Quickly her breakfast finished" is awkward and does not follow standard English syntax; it also implies the breakfast is finishing itself.
• "Finished breakfast hers quickly" is ungrammatical and incorrectly orders the possessive pronoun and breakfast.

The correct answer is Option 4)

Key Points

• The word "Attire" refers to the clothes, especially fine or formal ones, that someone is wearing. (पोशाक)
• Example: His attire for the wedding included a tailored suit and a bow tie.
• "Dress" is a synonym for attire, meaning clothing or garments. (कपड़े)
• Example: She wore a beautiful dress to the party.

Therefore, the correct answer is: Dress.

Additional Information

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

• Hotel (होटल): A place that provides lodging, meals, and other services for travelers and tourists.
• Example: We stayed at a luxurious hotel during our vacation.
• Theatre (थियेटर): A building or outdoor area where plays, films, or other performances are presented.
• Example: We went to the theatre to watch a new play.
• Park (पार्क): A large public green area in a town, used for recreation.
• Example: Children love to play in the park.

The correct answer is Option 4)

Key Points

• The word "agitated" means feeling or appearing troubled or nervous. (चिंतित या व्याकुल)
• Example: The speaker was visibly agitated during the heated debate.
• "Serene" refers to being calm, peaceful, and untroubled. (शांत)
• Example: The serene landscape helped her relax and forget her worries.

Hence, we can infer that the opposite of 'agitated' is 'serene'.

Additional Information

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

• Steady (स्थिर): Firmly fixed, supported, or balanced; not shaking or moving.
• Example: He kept a steady hand while drawing the intricate design.
• Quiescent (शांत): In a state or period of inactivity or dormancy.
• Example: The volcano has been quiescent for years.
• Nerveless (निर्भीक): Lacking in nervousness or anxiety; calm.
• Example: The nerveless player took the game-winning shot with ease.

The correct answer is Option 1)

Key Points

• The word "within" means inside or enclosed in something; it denotes being in the interior of something. (के भीतर)
• Example: She felt a sense of peace within her heart.
• "Within a reader" refers to the internal emotional or mental state of a reader, suggesting that writing can evoke emotions inside a reader. (पाठक के भीतर)
• Example: The story stirred deep emotions within a reader, making them reflect on their own life experiences.

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

Additional Information

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

• Instead a reader (इसके बजाय एक पाठक): This phrase is grammatically incorrect and does not convey any meaningful sense.
• Example: Incorrect usage: Writing can instil a number of emotions instead a reader.
• Until a reader (जब तक एक पाठक): This phrase suggests a condition or a point in time, which is not applicable in the context of the sentence.
• Example: Incorrect usage: Writing can instil a number of emotions until a reader.
• Among a reader (एक पाठक के बीच): This phrase is incorrect as "among" is used for more than one person or thing.
• Example: Incorrect usage: Writing can instil a number of emotions among a reader.

The logic followed here is:

Logic: (1st number + 3rd number) ÷ 6 = 2nd number.

Now,

For, (180, 45, 90)

⇒ (180 + 90) ÷ 6

= 270 ÷ 6 = 45.

For, (128, 32, 64)

⇒ (128 + 64) ÷ 6

= 192 ÷ 6 = 32.

Similarly, For (224, 56, 112)

⇒ (224 + 112) ÷ 6

= 336 ÷ 6 = 56.

Hence, the correct answer is "Option 1".

Logic: 

First letter → Alternately (6) and (5) are subtracted from the position values according to the English alphabetic series.

Second letter → (3) is added to the position values according to the English alphabetic series.

Third letter → Increasing number series is added to the position values according to the English alphabetic series.

​​So,

Hence, "Option 1" is the correct answer.

According to the given information,

Thus, according to the given codes 'ab' is the code for the word 'get'.

Hence, the correct answer is "ab".

The logic followed here is : Elements shift in the clockwise direction subsequently.

Thus, the final series is :

Hence, "Option 2" is the correct answer.

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

Here, as marked there are a total of 17 triangles.

Hence, "17" is the correct answer.

The logic followed here is: (1st number × 2) = 2nd number

So,

$\left[\frac{17}{41}\right]$ is related to $\left[\frac{34}{41}\right]$

→$\left[\frac{17}{41}\right]$ × 2 = $\left[\frac{34}{41}\right]$

→$\left[\frac{34}{41}\right]$ = $\left[\frac{34}{41}\right]$ (LHS = RHS)

And,

$\left[\frac{11}{85}\right]$ is related to $\left[\frac{22}{85}\right]$

→$\left[\frac{11}{85}\right]$ × 2 = $\left[\frac{22}{85}\right]$

→$\left[\frac{22}{85}\right]$ = $\left[\frac{22}{85}\right]$

Similarly,

$\left[\frac{13}{77}\right]$ is related to :

→$\left[\frac{13}{77}\right]$ × 2 = $\left[\frac{26}{77}\right]$

→$\left[\frac{26}{77}\right]$ = $\left[\frac{26}{77}\right]$

Hence, "Option 4" is the correct answer.

Logic : Alternately increasing number series and (3) are added and multiplied respectively.

Hence, "1341" is the correct answer.

Given : 216 × 9 + 52 - 7 ÷ 7 = ? 

According to the question, after replacing the signs :

‘+’ and ‘-’ are interchanged 

‘×’ and ‘÷’ are interchanged

So,​​

216 ÷ 9 - 52 + 7 × 7 = ?

24 - 52 + 7 × 7 = ?

24 + 49 - 52 = ?

73 - 52 = ?

21 = ?

Hence, "21" is the correct answer.

Logic : Odd number series is added subsequently.

Hence, "130" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 1".

Given: 25 October 2004 was Monday.

Now,

2004 to 2007 = 3 Years (3 Ordinary Years).

And, 3 Ordinary Years have 3 odd days.

then, 25 October 2007 will be Monday + 3 = Thursday.

Now, the number of days between 25 October 2007 to 2 November 2007

= 6 days (October) + 2 days (November) = 8 days.

= 8 days → 8/7 = 1 week and 1 odd days.

So, 2 November 2007 will be Thursday + 1 = Friday.

Hence, the correct answer is "Option 1".

Given : 98 - 14 × 11 + 6 ÷ 23 = ? 

According to the question, after replacing the signs :

‘+’ and ‘×’ are interchanged 

‘-’ and ‘÷’ are interchanged

So,​​

98 ÷ 14 + 11 × 6 - 23 = ?

7 + 11 × 6 - 23 = ?

7 + 66 - 23 = ?

73 - 23 = ?

50 = ?

Hence, "50" is the correct answer.

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

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

Hence, the correct answer is "Option 2".

Logic : (1) subtracted from each number subsequently.

Hence, "Option 2" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 2".

According to the given figure:

The figure will appear when it is opened as follows:

Hence, "Option 3" is the correct answer.

Decoding the Symbols:

Given: G + J ÷ H × I − K 

G + J → G is the mother of J.

J ÷ H  → J is the father of H.

H × I → H is the wife of I.

​

I − K → I is the brother of K.

Here, G is the brother’s wife’s father’s mother of K.

Hence, the correct answer is "Option 2".

Logic: Opposite letter according to the English alphabetic series is written.

​​So,

'STEM' is related to 'HGVN'

​ 

​And,

'QUIT' is related to 'JFRG'

​ 

​Similarly,

'ACCOUNTABLE' is related to

​ 

Hence, "Option 4" is the correct answer.

The logic followed here is:

Logic: Actions performed on objects to maintain or improve them.

Here,

Trim : Hair → Trim is an action performed on Hair to maintain or improve it.

Similarly,

Prune : Hedge → Prune is an action performed on Hedge to maintain or improve it.

Hence, the correct answer is "Option 1".

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

Conclusions:

I. All stones are dresses → Does not follow (As all dresses are clouds, some clouds are tables and some tables are stones. So it is possible but not definite.)

II. Some dresses are tables → Does not follow (As all dresses are clouds and some clouds are tables. So it is possible but not definite.)

∴ Here, Neither conclusion (I) nor (II) follow.​

Hence, the correct answer is "Neither conclusion (I) nor (II) follows"

Logic: ​

Option (1): ILO

Option (2): DGK

Option (3): JMQ

Option (4): NQU

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

Hence, "Option 1" is the correct answer.

Required resultant: 428

After changing the letters, the equations we get: 

Option - (1): 113 B 4 A 62 D 2 C 7

⇒113 × 4 ÷ 62 - 2 + 7

⇒113 × 0.06 - 2 + 7

⇒6.78 + 7 - 2

⇒13.78 - 2 = 11.78

Option - (2): 113 A 4 D 62 B 2 C 7

⇒113 ÷ 4 - 62 × 2 + 7

⇒28.25 - 62 × 2 + 7

⇒28.25 + 7 - 124

⇒35.25 - 124 = -88.75

Option - (3): 113 B 4 C 62 A 2 D 7 

⇒113 × 4 + 62 ÷ 2 - 7 

⇒113 × 4 + 31 - 7

⇒452 + 31 - 7

⇒483 - 7 = 476

Option - (4): 113 B 4 D 62 A 2 C 7

⇒113 × 4 - 62 ÷ 2 + 7 

⇒113 × 4 - 31 + 7

⇒452 + 7 - 31

⇒459 - 31 = 428

Hence, the correct answer is "Option 1".

Logic: (5) is subtracted from the position values according to the English alphabetic series.

​​So,

Hence, "Option 2" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 3".

Given: 29 July 2001 was Sunday.

Now,

2001 to 2015 = 14 Years (11 Ordinary Years and 3 Leap Years).

So, 3 Leap Years have 6 odd days,

And, 11 Ordinary Years have 11 odd days.

Total odd days = 6 + 11 = 17.

18 odd days → 17/7 = 2 weeks and 3 odd days.

then, 29 July 2015 will be Sunday + 3 = Wednesday.

Now, the number of days between 20 February 2015 to 29 July 2015.

= 8 (Feb) + 31 (March) + 30 (Apr) + 31 (May) + 30 (June) + 29 (July) = 159 days.

= 159 days → 159/7 = 22 weeks and 5 odd day.

So, 20 February 2015 will be Wednesday - 5 = Friday.

Hence, the correct answer is "Option 2".

Given:

Radius of the circle (r) = 6 cm

AB = 7 cm

CD = 2 × 6 = 12 cm

Formula used:

AD² = AC × AB

AC² - CD² = AD²

Calculations:

Substituting the values in the Tangent-Secant Theorem:

AC² - 12² = AC × 7

⇒ AC² - 144 = 7AC

⇒ AC² - 7AC - 144 = 0

This is a quadratic equation, solving using the quadratic formula:

⇒ AC2 - 16AC + 9AC - 144 = 0

⇒ AC(AC - 16) + 9(AC - 16) = 0

⇒ (AC - 16)(AC + 9) = 0

⇒ AC = 16 or AC = -9

⇒ AC = 16 cm (since length cannot be negative)

∴ The value of AC is 16 cm.

Given:

PQ is the diameter of a circle with centre O. PT is a tangent touching the circle at P. The secant QT intersects the circle at S. O and S are joined. If ∠SOP = 104º, what is the measure (in degrees) of ∠PTQ?

Calculation:

∠OQS = ∠OSQ  Since, (OS = OQ (radius)

But ∠SOP = ∠OQS + ∠OSQ (Exterior angle theorem)

104° = 2 ∠OQS

∠OQS = 52°

In Tringle QPT

∠PTQ = 180° - ∠OQS - ∠QPT

∠PTQ = 180°- 52° - 90°

∠PTQ = 38°

Therefore, ∠PTQ = 38°

∴ The correct answer is option (2).

Given:

30 men working 5 hours a day can do work in 18 days.

Formula used:

Work = Men × Hours/Day × Days

Calculation:

Work done by 30 men in 18 days working 5 hours/day:

Work = 30 × 5 × 18

Work = 2700 man-hours

Let x be the number of days required for 20 men working 7 hours/day to complete the same work.

Work = 20 × 7 × x

Since the amount of work is the same:

2700 = 20 × 7 × x

⇒ 2700 = 140x

⇒ x = 2700 / 140

⇒ x = 19²/₇

∴ The correct answer is option (1).

Shortcut Trick

Using the Alligation Method on the average salaries:

Ratio of employees (Group 1 : Group 2) = (2150 − 1850) : (3950 − 2150) = 300 : 1800 = 1 : 6.

The number of employees in Group 1 is 12, which represents 1 ratio unit.

So, the number of employees in Group 2 = 6 × 12 = 72.

Total number of employees = 12 + 72 = 84.

∴ The correct answer is 84 employees.

Alternate Method

Given:

Number of employees in Group 1 = 12

Average salary of Group 1 = ₹3,950

Average salary of Group 2 = ₹1,850

Overall average salary = ₹2,150

Let the number of employees in Group 2 be x.

Formula Used:

Total Salary = Average Salary × Number of Employees

Combined Average = (Total Salary of Group 1 + Total Salary of Group 2) ÷ Total Employees

Calculations:

⇒ Total salary of Group 1 = 12 × 3950 = ₹47,400

⇒ Total salary of Group 2 = x × 1850 = ₹1850x

⇒ Combined Average = (47400 + 1850x) ÷ (12 + x)

⇒ 2150 = (47400 + 1850x) ÷ (12 + x)

⇒ 2150 × (12 + x) = 47400 + 1850x

⇒ 25800 + 2150x = 47400 + 1850x

⇒ 2150x − 1850x = 47400 − 25800

⇒ 300x = 21600

⇒ x = 21600 ÷ 300 = 72

⇒ Total number of employees = 12 + 72 = 84

∴ The correct answer is 84 employees.

Additional Information

Weighted Average Method

When two groups with averages A₁ and A₂ and sizes N₁ and N₂ are combined, the overall average is given by: A = (N₁A₁ + N₂A₂) ÷ (N₁ + N₂).

Rule of Alligation

A visual cross-multiplication technique used to find the ratio in which two quantities or groups with known averages are mixed to get a desired overall average. Ratio = (Difference of Cheaper Group) : (Difference of Dearer Group).

Deviation Method

The sum of deviations of individual group averages from the overall combined average, weighted by their respective group sizes, is always zero: N₁(A₁ − A) + N₂(A₂ − A) = 0.

Given:

Principal (P) = ₹3,260

Amount (A) = ₹5,420

Time (t) = 6 years

Formula used:

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

Amount (A) = P + SI

Calculation:

5420 = 3260 + (3260 × r × 6 / 100)

⇒ 5420 - 3260 = 3260 × r × 6 / 100

⇒ 2160 = 3260 × r × 6 / 100

⇒ 2160 × 100 = 3260 × r × 6

⇒ 216000 = 19560 × r

⇒ r = 216000 / 19560

⇒ r = 11.04%

To find the amount in 4 years:

SI for 4 years = 3260 × 11.04 × 4 / 100

⇒ SI = 1440.77

Amount = P + SI

⇒ Amount = 3260 + 1440.77

⇒ Amount = 4700 (Approx)

∴ The correct answer is option (3).

Given:

△XYZ is similar to △PQR

Ratio of the perimeter of △XYZ to the perimeter of △PQR = 16 : 9

PQ = 3.6 cm

Formula used:

Since the triangles are similar, the ratio of their corresponding sides is equal to the ratio of their perimeters.

Calculations:

Let the length of XY be x cm.

Ratio of perimeters = Ratio of corresponding sides

⇒ $\dfrac{XY}{PQ} = \dfrac{16}{9}$

⇒ $\dfrac{x}{3.6} = \dfrac{16}{9}$

⇒ x = 3.6 × $\dfrac{16}{9}$

⇒ x = $6\frac{2}{5}$

∴ The correct answer is option (4).

Given:

Number of employees in organization Y (2013) = 160

Number of employees in organization Z (2013) = 212

Number of employees in organization T (2013) = 126

Formula used:

Average = (Y + Z + T) ÷ 3

Calculation:

⇒ Average = (160 + 212 + 126) ÷ 3

⇒ Average = 498 ÷ 3

⇒ Average = 166

∴ The correct answer is option (2).

Given:

Cost Price (CP) = ₹1,092

Discount = 22%

Gain = 36%

Formula used:

Selling Price (SP) = CP × (1 + Gain%)

Marked Price (MP) = SP / (1 - Discount%)

Calculations:

SP = 1092 × (1 + 36/100)

⇒ SP = 1092 × 1.36

⇒ SP = 1485.12

MP = 1485.12 / (1 - 22/100)

⇒ MP = 1485.12 / 0.78

⇒ MP = 1904

∴ The correct answer is option 1.

Given:

The age of a tree depends on the number of rings in the trunk. The value of such a tree is proportional to its age.

A tree with 40 rings and 50 years of age has a value of Rs.50,000.

Formula used:

Age of tree = Number of rings

Value of tree = Proportional to age

Calculations:

Tree with 40 rings has an age of 50 years.

⇒ Age per ring = 50 years / 40 rings = 1.25 years per ring

Tree with 30 rings:

⇒ Age = 30 rings × 1.25 years per ring = 37.5 years

Value of tree:

⇒ Value per year = Rs.50,000 / 50 years = Rs.1,000 per year

⇒ Value of tree with 37.5 years of age = 37.5 years × Rs.1,000 per year = Rs.37,500

∴ The correct answer is option (1).

Given:

Edge of small cube = 15 cm

Edge of cubical box = 3 m = 300 cm

Formula used:

Number of small cubes = (Volume of cubical box) / (Volume of one small cube)

Volume of cube = edge³

Calculation:

Volume of cubical box = 300³ cm³

Volume of one small cube = 15³ cm³

⇒ Number of small cubes = 300³ / 15³

⇒ Number of small cubes = (300 / 15)³

⇒ Number of small cubes = 20³

⇒ Number of small cubes = 8000

∴ The correct answer is option 2.

Given:

Printing cost percentage = 20%

Printing cost (P) = ₹30,600

Royalty percentage = 15%

Formula used:

Royalty = (Royalty % / Printing % ) × Printing cost

Calculation:

⇒ Royalty = (15 ÷ 20) × 30,600

⇒ Royalty = 0.75 × 30,600

⇒ Royalty = ₹22,950

∴ The correct answer is option (1).

Given:

Radius (r) = 1.5 m

Height (h) = 3 m

Formula used:

Surface area of a closed cylindrical tank = 2πrh + 2πr²

Calculation:

Surface area = 2π × 1.5 × 3 + 2π × (1.5)²

⇒ Surface area = 2π × 4.5 + 2π × 2.25

⇒ Surface area = 9π + 4.5π

⇒ Surface area = 13.5π

⇒ Surface area = 13.5 × 22/7

⇒ Surface area = 42.42 square metre

∴ The correct answer is option 1.

Given:

The equations are:

3p - 2q + 23 = 0

-2p + q - 13 = 0

Formula used:

Substitution method to find the values of p and q.

Calculation:

From the second equation:

-2p + q - 13 = 0

⇒ q = 2p + 13

Substitute q in the first equation:

3p - 2(2p + 13) + 23 = 0

⇒ 3p - 4p - 26 + 23 = 0

⇒ -p - 3 = 0

⇒ p = -3

Substitute p in q = 2p + 13:

q = 2(-3) + 13

⇒ q = -6 + 13

⇒ q = 7

Now, we need to find the value of (3p + q):

3p + q = 3(-3) + 7

⇒ 3p + q = -9 + 7

⇒ 3p + q = -2

∴ The correct answer is option (3).

Given:

Marks greater than 135 are 140, 145, 150, and 160

No. of students who obtained 140 marks = 8

No. of students who obtained 145 marks = 5

No. of students who obtained 150 marks = 4

No. of students who obtained 160 marks = 1

Formula used:

Total students = Sum of students who obtained more than 135 marks

Calculation:

⇒ Total students = 8 + 5 + 4 + 1

⇒ Total students = 18

∴ The correct answer is 18 students.

Given:

A number is first decreased by 18% and the resulting number is then increased by 25%.

Formula used:

Overall Percentage Change = (Final Value - Initial Value) / Initial Value × 100

Calculation:

Let the original number be 100.

After 18% decrease:

⇒ 100 - 18 = 82

After 25% increase on 82:

⇒ 82 + (25% of 82)

⇒ 82 + 20.5 = 102.5

Overall Percentage Change:

⇒ (102.5 - 100) / 100 × 100

⇒ 2.5%

∴ The correct answer is option (4).

Given:

$469\div \left[270\div \left(\frac{3}{7}\times 35\right)+(19\times 3)-\left(\frac{21}{2}-\frac{5}{2}\right)\right]$

Formula used:

Follow the BODMAS rule (Bracket, Order, Division and Multiplication, Addition and Subtraction)

Calculation:

⇒ $469\div \left[270\div \left(\frac{3}{7}\times 35\right)+(19\times 3)-\left(\frac{21}{2}-\frac{5}{2}\right)\right]$

⇒ 469 ÷ [ 270 ÷ 15 + 57 − (10.5 − 2.5) ]

⇒ 469 ÷ [ 270 ÷ 15 + 57 − 8 ]

⇒ 469 ÷ [ 18 + 57 − 8 ]

⇒ 469 ÷ [ 67 ]

⇒ 469 ÷ 67 = 7

∴ The correct answer is option (2).

Given:

Two cubes have their volumes in the ratio 1 : 125.

Formula used:

If the volume ratio of two cubes is a³ : b³, then the surface area ratio is a² : b².

Calculation:

Volume ratio = 1 : 125

⇒ Side ratio = 1 : 5 (since cube root of 125 is 5)

Surface area ratio = (Side ratio)²

⇒ Surface area ratio = 1² : 5²

⇒ Surface area ratio = 1 : 25

∴ The correct answer is option (3).

Given:

Number of girls in each section:

Class XII A: 34 girls

Class XII B: 41 girls

Class XII C: 40 girls

Class XII D: 39 girls

Class XII E: 45 girls

Class XII F: 41 girls

Formula used:

Average number of girls = Total number of girls ÷ Number of sections

Calculation:

⇒ Average = (34 + 41 + 40 + 39 + 45 + 41) ÷ 6

⇒ Average = 240 ÷ 6

⇒ Average = 40

∴ The correct answer is 40 girls.

Given:

The total income of three families is ₹72,000. Their expenditures are 80%, 85%, and 75%, respectively. The savings are in the ratio 8:9:20.

Formula used:

Income = Expenditure + Savings

Calculation:

Let the incomes of the three families be I₁, I₂, and I₃.

Given: I₁ + I₂ + I₃ = 72000

Expenditures: 0.8I₁, 0.85I₂, 0.75I₃

Savings: 0.2I₁, 0.15I₂, 0.25I₃

Given savings ratio: 8:9:20

Let savings be 8k, 9k, and 20k, respectively.

⇒ 0.2I₁ = 8k

⇒ 0.15I₂ = 9k

⇒ 0.25I₃ = 20k

⇒ I₁ = 40k

⇒ I₂ = 60k

⇒ I₃ = 80k

Total income: I₁ + I₂ + I₃ = 72000

⇒ 40k + 60k + 80k = 72000

⇒ 180k = 72000

⇒ k = 400

⇒ I₂ = 60k = 60 × 400 = 24000

∴ The correct answer is option 4.

Given:

A dishonest dealer professes to sell his goods at the cost price, but he uses a false weight of 850 grams per 1 kg weight.

Formula used:

Percentage gain = $\left(\dfrac{\text{True Weight} - \text{False Weight}}{\text{False Weight}}\right) ×$ 100

Calculation:

True Weight = 1000 grams

False Weight = 850 grams

⇒ Percentage gain = $\left(\dfrac{1000 - 850}{850}\right) ×$ 100

⇒ Percentage gain = $\left(\dfrac{150}{850}\right) ×$ 100

⇒ Percentage gain = 0.1765 × 100

⇒ Percentage gain = 17.65%

∴ The correct answer is option (1).

Given:

A part of the journey is covered in 22.5 minutes at a speed of 68 km/h and the remaining part in 12 minutes at a speed of 72 km/h.

Formula used:

Distance = Speed × Time

Calculations:

First part of journey:

Time = 22.5 minutes = 22.5/60 hours

Speed = 68 km/h

⇒ Distance₁ = Speed × Time

⇒ Distance₁ = 68 × (22.5/60)

⇒ Distance₁ = 68 × 0.375

⇒ Distance₁ = 25.5 km

Second part of journey:

Time = 12 minutes = 12/60 hours

Speed = 72 km/h

⇒ Distance₂ = Speed × Time

⇒ Distance₂ = 72 × (12/60)

⇒ Distance₂ = 72 × 0.2

⇒ Distance₂ = 14.4 km

Total Distance:

⇒ Total Distance = Distance₁ + Distance₂

⇒ Total Distance = 25.5 + 14.4 = 39.9 km 

⇒ Total Distance = 40 km (Approx)

∴ The correct answer is option (4) 40 km.

Given:

RS = 20 cm

PQ = 12 cm

Distance between the chord (AB) = 4 cm

Calculation:

AR = 20/2 = 10 cm

BP = 12/2 = 6 cm

In ΔORA,

OR² = AR² + OA²

⇒ OR2 = 10² + OA2

Now,

In ΔOPB,

OP2 = BP2 + (OA + 4)2

⇒ OP2 = 6² + (OA + 4)2

Since, OR and OP are the radius of the circle

So, OR = OP

Now,

OR² = OP²

⇒ 102 + OA2 = 62 + (OA + 4)2

⇒ 100 + OA² = 36 + OA² + 16 + 8OA

⇒ 100 = 52 + 8OA

⇒ 8OA = 100 - 52 = 48

⇒ OA = 48/8 = 6 cm

Thus, Radius:

OR2 = 102 + OA2 = 10² + 6² = 100 + 36 = 136 cm

OR = √136 = 2√34 cm

Hence, diameter of the circle = 2OR = 4√34 cm.

∴ The correct answer is option (1).

Given:

tanθ = 7/4

Concept:

${\rm{tan\theta }} = \frac{{{\rm{sin\theta }}}}{{{\rm{cos\theta }}}}$

Calculation:

$\frac{{4{\rm{sin\theta }} - 3{\rm{cos\theta }}}}{{4{\rm{sin\theta }} + 3{\rm{cos\theta }}}};;;;; - - - - \left( 1 \right)$

take cosθ common from equation (1)

$\Rightarrow ;\frac{{\frac{{4{\rm{sin\theta }}}}{{{\rm{cos\theta }}}} - 3}}{{\frac{{4{\rm{sin\theta }}}}{{{\rm{cos\theta }}}} + 3}}$

$\Rightarrow \frac{{4{\rm{tan\theta }} - 3}}{{4{\rm{tan\theta }} + 3}}$

⇒ (4 × 7/4 - 3)/(4 × 7/4 + 3)

⇒ (7 - 3)/(7 + 3)

⇒ 4/10 = 2/5

$\therefore {\bf{The}};{\bf{value}};{\bf{of}};\frac{{4{\bf{sin\theta }} - 3{\bf{cos\theta }}}}{{4{\bf{sin\theta }} + 3{\bf{cos\theta }}}};{\bf{is}};\frac{{2}}{5}.$

Given:

Ramu's salary is 30% less than Somu's salary.

Formula used:

Let Somu's salary be S and Ramu's salary be R.

R = S - 0.3S

Somu's salary more than Ramu's salary = $\dfrac{S - R}{R} \times$ 100

Calculation:

R = 0.7S

⇒ $\dfrac{S - 0.7S}{0.7S} \times$ 100

⇒ $\dfrac{0.3S}{0.7S} \times$ 100

⇒ $\dfrac{0.3}{0.7} \times$ 100

⇒ $\dfrac{3}{7} \times$ 100

⇒ 42.86%

∴ The correct answer is option (3).

Given:

$\left(24 \div 3 \text{ of } \dfrac{1}{6}\right) \times \left(\dfrac{4}{5} \div \dfrac{9}{8} \times \dfrac{3}{5}\right) \div \left(\dfrac{4}{7} \div \dfrac{3}{14} \text{ of } \dfrac{3}{14}\right)$

Formula used:

Use the BODMAS/BIDMAS rule (Bracket, Order, Division/Multiplication, Addition/Subtraction).

Calculation:

$\left(24 \div 3 \text{ of } \dfrac{1}{6}\right) \times \left(\dfrac{4}{5} \div \dfrac{9}{8} \times \dfrac{3}{5}\right) \div \left(\dfrac{4}{7} \div \dfrac{3}{14} \text{ of } \dfrac{3}{14}\right)$

⇒ $\left(24 \div 3 \times \dfrac{1}{6}\right) \times \left(\dfrac{4}{5} \div \dfrac{9}{8} \times \dfrac{3}{5}\right) \div \left(\dfrac{4}{7} \div \left(\dfrac{3}{14} \times \dfrac{3}{14}\right)\right)$

⇒ $\left(24 \div 3 \times \dfrac{1}{6}\right) \times \left(\dfrac{4}{5} \div \dfrac{9}{8} \times \dfrac{3}{5}\right) \div \left(\dfrac{4}{7} \div \dfrac{9}{196}\right)$

⇒ $\left(24 \div \dfrac{1}{2}\right) \times \left(\dfrac{4}{5} \times \dfrac{8}{9} \times \dfrac{3}{5}\right) \div \left(\dfrac{4}{7} \times \dfrac{196}{9}\right)$

⇒ $\left(48\right) \times \left(\dfrac{4 \times 8 \times 3}{5 \times 9 \times 5}\right) \div \left(\dfrac{4 \times 196}{7 \times 9}\right)$

⇒ $48 \times \dfrac{96}{225} \div \dfrac{784}{63}$

⇒ $48 \times \dfrac{96}{225} \times \dfrac{63}{784}$

⇒ $48 \times \dfrac{96 \times 63}{225 \times 784}$

⇒ $48 \times \dfrac{6048}{176400}$

⇒ $\dfrac{288}{175}$

 

∴ The correct answer is option 3.