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

The correct answer is Option 1.

 

Key Points

• The phrase "a American" is incorrect.
• The correct article to use before the word "American" is "an" because "American" begins with a vowel sound.
• The phrase should be "an American" for correct grammatical usage.

Therefore, the correct answer is 1.

 

Correct Sentence: "Emily is an American living in Paris for her work."

 

Additional Information

• 2: "living in Paris" – This part of the sentence is correct and does not require any changes.
• 3: "for her work" – This part of the sentence is correct and does not require any changes.
• 4: "Emily is" – This part of the sentence is correct and does not require any changes.

The correct answer is Option 1.

 

Key Points

• The phrase "took down" is incorrect in this context.
• The correct phrase should be "took off," which means the aeroplane left the ground and started flying.
• Thus, the error is in Option 1 of the sentence.

Therefore, the correct answer is 1.

 

Correct Sentence: "The aeroplane took off without the passengers after making a sudden announcement."

 

Additional Information

• 2: "without the passengers after" – This part of the sentence is correct and does not require any changes.
• 3: "making a sudden announcement" – This part of the sentence is correct and does not require any changes.

The correct answer is Option 2.

 

Key Points

• The phrase "a umbrella" is incorrect.
• The correct article to use before the noun "umbrella" is "an" because "umbrella" begins with a vowel sound.
• The phrase should be "an umbrella" for correct grammatical usage.
• Thus, the error is in Option 2 of the sentence.

Therefore, the correct answer is 2.

 

Correct Sentence: "This is a doll and there is an umbrella."

 

Additional Information

• 1: "a doll" – This part of the sentence is correct and does not require any changes.
• 3: "and there is" – This part of the sentence is correct and does not require any changes.
• 4: "This is" – This part of the sentence is correct and does not require any changes.

The correct answer is Option 3.

 

Key Points

• The phrase "She shall being" is incorrect.
• The correct phrase should be "She will be" or "She shall be" to correctly form the future continuous tense.
• The future continuous tense is used to indicate an action that will be in progress at a specific time in the future.
• Thus, the error is in Option 3 of the sentence.

Therefore, the correct answer is 3.

 

Correct Sentence: "She will be travelling by this time tomorrow."

 

Additional Information

• 1: "by this time" – This part of the sentence is correct and does not require any changes.
• 2: "travelling" – This part of the sentence is correct and does not require any changes.
• 4: "tomorrow" – This part of the sentence is correct and does not require any changes.

The correct answer is 'in'.

 

Key Points

• The sentence describes the diameter of the Sun in comparison to the Earth.
• The correct preposition to use when measuring the diameter of a spherical object is "in."
• Other options ("on", "of", "at") do not fit the context of measuring diameter correctly.

Therefore, the correct answer is 'Option 3: in'.

 

Complete Passage: The Sun is about 1.4 million kilometres (1) in diameter, while the Earth is about 13,000 kilometers wide. This indicates that the Sun's width would need to be filled by more than one hundred Earths. Sunspots are dreary (2) _____ on the Sun's surface that are two thousand degrees Celsius cooler than the rest of the surface. The coolest piece of the sunspot is the dim focus called the umbra. The penumbra surrounds it. On the Sun's surface, some sunspots are just specks. Additionally, they appear in groups up to ten times larger than Earth. They can sometimes reach 200,000 miles in length. As the Sun rotates, these groups (3) _____ to travel across the Sun over two weeks. Every 11 years, the number of sunspots reaches its maximum. The solar or sunspot cycle (4) ______ to this. The Earth's weather may become more extreme and warm during the peak of sunspot activity. According to the (5) ______ made by satellites like Nimbus 7, when sunspots are at their largest, less heat reaches Earth.

The correct answer is 'regions'.

 

Key Points

• The sentence describes sunspots as particular areas on the Sun's surface.
• The term "regions" is commonly used to describe specific areas on a surface, particularly in scientific contexts.
• Other options ("province", "belt", "section") do not accurately describe areas on the Sun's surface in this context.

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

 

Complete Passage: The Sun is about 1.4 million kilometres (1) in diameter, while the Earth is about 13,000 kilometers wide. This indicates that the Sun's width would need to be filled by more than one hundred Earths. Sunspots are dreary (2) regions on the Sun's surface that are two thousand degrees Celsius cooler than the rest of the surface. The coolest piece of the sunspot is the dim focus called the umbra. The penumbra surrounds it. On the Sun's surface, some sunspots are just specks. Additionally, they appear in groups up to ten times larger than Earth. They can sometimes reach 200,000 miles in length. As the Sun rotates, these groups (3) appear to travel across the Sun over two weeks. Every 11 years, the number of sunspots reaches its maximum. The solar or sunspot cycle (4) refers to this. The Earth's weather may become more extreme and warm during the peak of sunspot activity. According to the (5) observations made by satellites like Nimbus 7, when sunspots are at their largest, less heat reaches Earth.

The correct answer is 'appear'.

 

Key Points

• The sentence describes the movement of sunspot groups across the Sun's surface.
• The term "appear" is appropriate because it conveys the visual observation of the sunspots as they seem to move across the Sun due to its rotation.
• Other options ("act", "shape", "show") do not accurately convey the sense of visual observation of movement.

Therefore, the correct answer is 'Option 4: appear'.

 

Complete Passage: The Sun is about 1.4 million kilometres (1) in diameter, while the Earth is about 13,000 kilometers wide. This indicates that the Sun's width would need to be filled by more than one hundred Earths. Sunspots are dreary (2) regions on the Sun's surface that are two thousand degrees Celsius cooler than the rest of the surface. The coolest piece of the sunspot is the dim focus called the umbra. The penumbra surrounds it. On the Sun's surface, some sunspots are just specks. Additionally, they appear in groups up to ten times larger than Earth. They can sometimes reach 200,000 miles in length. As the Sun rotates, these groups (3) appear to travel across the Sun over two weeks. Every 11 years, the number of sunspots reaches its maximum. The solar or sunspot cycle (4) refers to this. The Earth's weather may become more extreme and warm during the peak of sunspot activity. According to the (5) observations made by satellites like Nimbus 7, when sunspots are at their largest, less heat reaches Earth.

The correct answer is 'refers'.

 

Key Points

• The sentence explains the notion of the solar or sunspot cycle.
• The term "refers" is appropriate because it indicates that the solar or sunspot cycle is a term that denotes the increase in the number of sunspots every 11 years.
• Other options ("entrust", "pass", "cite") do not fit the context of explaining a term or a concept.

Therefore, the correct answer is 'Option 4: refers'.

 

Complete Passage: The Sun is about 1.4 million kilometres (1) in diameter, while the Earth is about 13,000 kilometers wide. This indicates that the Sun's width would need to be filled by more than one hundred Earths. Sunspots are dreary (2) regions on the Sun's surface that are two thousand degrees Celsius cooler than the rest of the surface. The coolest piece of the sunspot is the dim focus called the umbra. The penumbra surrounds it. On the Sun's surface, some sunspots are just specks. Additionally, they appear in groups up to ten times larger than Earth. They can sometimes reach 200,000 miles in length. As the Sun rotates, these groups (3) appear to travel across the Sun over two weeks. Every 11 years, the number of sunspots reaches its maximum. The solar or sunspot cycle (4) refers to this. The Earth's weather may become more extreme and warm during the peak of sunspot activity. According to the (5) observations made by satellites like Nimbus 7, when sunspots are at their largest, less heat reaches Earth.

The correct answer is 'observations'.

 

Key Points

• The sentence indicates that the information about sunspots and heat reaching Earth comes from measurements or data collected by satellites.
• The term "observations" is appropriate because it refers to the data or findings recorded by satellites like Nimbus 7 regarding sunspots and their effects.
• Other options ("inspections", "invalidations", "perceptions") do not fit the context of systematic data collection and analysis in a scientific context.

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

 

Complete Passage: The Sun is about 1.4 million kilometres (1) in diameter, while the Earth is about 13,000 kilometers wide. This indicates that the Sun's width would need to be filled by more than one hundred Earths. Sunspots are dreary (2) regions on the Sun's surface that are two thousand degrees Celsius cooler than the rest of the surface. The coolest piece of the sunspot is the dim focus called the umbra. The penumbra surrounds it. On the Sun's surface, some sunspots are just specks. Additionally, they appear in groups up to ten times larger than Earth. They can sometimes reach 200,000 miles in length. As the Sun rotates, these groups (3) appear to travel across the Sun over two weeks. Every 11 years, the number of sunspots reaches its maximum. The solar or sunspot cycle (4) refers to this. The Earth's weather may become more extreme and warm during the peak of sunspot activity. According to the (5) observations made by satellites like Nimbus 7, when sunspots are at their largest, less heat reaches Earth.

The correct answer is: Option 3.

Key Points

• The word "ecstasy" means a state of overwhelming happiness or joyful excitement. (परमानंद)
• Example: She was in a state of ecstasy after receiving the good news.
• "Depression" refers to a state of severe despondency and dejection, typically felt over a long period and accompanied by feelings of hopelessness and inadequacy. (अवसाद)
• Example: He fell into a deep depression after losing his job.
• Hence, we can infer that the opposite of 'ecstasy' is 'depression'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Delight (आनंद): A feeling of great pleasure and satisfaction.
• Example: The children screamed with delight when they saw the circus.
• Disappointment (निराशा): A feeling of dissatisfaction that follows the failure of expectations or hopes.
• Example: She felt a deep sense of disappointment after the project was canceled.
• Passion (जुनून): A strong and barely controllable emotion.
• Example: His passion for music was evident in his performances.

The correct answer is: Option 2.

Key Points

• The idiom "To be at daggers drawn" means to be in a state of extreme hostility or ready to fight. (लड़ने को तैयार होना)
• Example: After the heated argument, the two colleagues were at daggers drawn.
• "Ready to fight" means being prepared to engage in a confrontation or combat. (लड़ने के लिए तैयार)
• Example: The two nations were ready to fight after the diplomatic negotiations failed.

Therefore, the correct answer is: Option 2.

Additional Information

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

• To be about to collapse (ढहने वाला होना): Being on the verge of falling apart or failing.
• Example: The old building was about to collapse after the earthquake.
• Under suspicion (संदेह के तहत): Being suspected of wrongdoing.
• Example: The employee was under suspicion for embezzling company funds.
• To be under control (नियंत्रण में होना): Being managed or contained effectively.
• Example: The fire was finally under control after hours of effort by the firefighters.

The correct answer is: Option 4.

Key Points

• The word "recieve" is incorrectly spelt; the correct spelling is "receive".
• Example: You shall receive proper pay for your work.
• "Receive" means to be given, presented with, or paid something. (प्राप्त करना)
• Example: I am excited to receive my package tomorrow.

Therefore, the correct answer is: Option 4.

Additional Information

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

• propeer (प्रोपीयर): This is an incorrect spelling.
• resieve (रिसीव): This is an incorrect spelling.
• propper (प्रॉपर): This is an incorrect spelling.

The correct answer is 'pay'.

 

Key Points

• The verb 'pay' is the correct form that fits the grammatical structure of the sentence.
• 'Made him pay' means that she compelled him to cover the expenses, which is appropriate in this context.
• The other options do not fit the required verb form or meaning.

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

Complete Sentence: She went on a shopping spree with her friend and made him pay the fat bill.

Additional Information

• Do (करना): incorrect verb form for this context.
• Paid (भुगतान किया): past tense, does not fit the structure 'made him -
• Give (देना): incorrect verb for covering a bill.

The correct answer is: Guilty.

Key Points

• The word "Innocent" means not guilty of a crime or offense; free from moral wrong; not intended to cause harm or offense. (निर्दोष)
• Example: The jury found her innocent of all charges.
• "Guilty" refers to the state of having committed an offense, crime, or moral wrong; culpable. (दोषी)
• Example: The court found him guilty of theft.

Therefore, the correct answer is: Guilty.

Additional Information

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

• Unfair (अन्यायपूर्ण): Not based on or behaving according to the principles of equality and justice.
• Example: It is unfair to blame him for the mistake.
• Righteous (धार्मिक): Morally right or justifiable; virtuous.
• Example: He was known for his righteous actions and honesty.
• Mischievous (शरारती): Causing or showing a fondness for causing trouble in a playful way.
• Example: The mischievous child hid his sister's shoes.

The correct answer is: Option 2.

Key Points

• The word "Cramped" means something that is uncomfortably small or restricted in space. (संकीर्ण)
• Example: The studio apartment was so cramped that there was hardly any room to move.
• "Spacious" refers to having ample space; roomy. (विशाल)
• Example: The new office is spacious and has plenty of room for all the employees.
• Hence, we can infer that the opposite of 'Cramped' is 'Spacious'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Crammed (ठसाठस भरा): Completely filled to the point of overflowing.
• Example: The train was crammed with passengers during the rush hour.
• Filthy (गंदा): Disgustingly dirty.
• Example: The kitchen was filthy after the party.
• Tight (कसकर): Fixed, fastened, or closed firmly.
• Example: The lid was so tight that I couldn't open the jar.

The correct answer is: Option 1.

Key Points

• The word "reliable" means consistently good in quality or performance; able to be trusted. (विश्वसनीय)
• Example: The reliable employee was entrusted with the company's most confidential information.
• "Dependable" refers to someone or something that is trustworthy and reliable. (विश्वसनीय)
• Example: You can always count on him to be dependable in times of need.
• Hence, we can infer that the word 'dependable' is a suitable substitute for 'reliable'.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Flaky (अविश्वसनीय): Unreliable or likely to fail.
• Example: He is so flaky that you never know if he will show up or not.
• Inaccurate (असत्य): Not correct or precise.
• Example: The map was inaccurate, leading us in the wrong direction.
• Erratic (अस्थिर): Not even or regular in pattern or movement; unpredictable.
• Example: The weather has been so erratic lately, it's hard to plan anything.

The correct answer is Option 2.

 

Key Points

• The phrase "add around to" is incorrect in this context.
• The correct expression should be "add up to," which means to total or combine to a specified amount.
• This ensures grammatical correctness and clarity in conveying the intended meaning.
• Thus, the error is corrected in Option 2 of the sentence.

Therefore, the correct answer is 2.

 

Correct Sentence: "Mrs. Lakshmi’s purchases add up to Rs. 2,650."

 

Additional Information

• 1: "purchases add for to" – This phrase is incorrect because "add for to" does not convey a clear or grammatically correct meaning.
• 3: "purchases add from to" – This phrase is incorrect because "add from to" is not a standard phrase in English.
• 4: "purchases add out to" – This phrase is incorrect because "add out to" is not the correct idiomatic expression.

The correct answer is Option 4.

 

Key Points

• The word "there" in "there coats" is incorrect and needs to be replaced with "their" to indicate possession.
• In the second use of "there," the word is correctly used to indicate a place.
• The correct substitution ensures that "their coats" correctly shows possession and "there" indicates location.
• Thus, the error is corrected in Option 4 of the sentence.

Therefore, the correct answer is 4.

 

Correct Sentence: "They are leaving their coats there."

 

Additional Information

• 1: "they’re coats there" – This part is incorrect because "they're" is a contraction for "they are" and does not indicate possession.
• 2: "there coats their" – This part of the sentence is incorrect as it wrongly places "there" instead of "their" at the beginning.
• 3: "their coats their" – This part of the sentence is incorrect because the second "their" should be "there" to indicate location.

The correct answer is: Option 4.

Key Points

• The word "Swap" means to exchange one thing for another. (बदलना)
• Example: They decided to swap seats for a better view of the stage.
• "Exchange" also means to give something and receive something of the same kind in return. (विनिमय)
• Example: She exchanged her old phone for a new one.
• Hence, we can infer that the synonym of "Swap" is "Exchange".

Therefore, the correct answer is: Option 4.

Additional Information

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

• Resell (पुनः बिक्री करना): To sell something that one has previously bought.
• Example: He plans to resell the car at a higher price.
• Original (मूल): Existing from the beginning, not a copy or imitation.
• Example: The original painting was much more vibrant than the reproduction.
• Option (विकल्प): A choice or possibility available.
• Example: We have several options for our vacation destination.

The correct answer is: Option 3.

Key Points

• The word "Transient" means something that lasts for a short period of time; temporary. (अस्थायी)
• Example: The transient nature of youth is often a topic of philosophical discussions.
• "Permanent" refers to something that lasts for a very long time or forever; not temporary. (स्थायी)
• Example: He decided to make a permanent move to the new city for his job.
• Hence, we can infer that the opposite of 'Transient' is 'Permanent'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Transitory (���्षणिक): Lasting for a very short time.
• Example: The transitory moments of joy were quickly overshadowed by the impending challenges.
• Transparent (पारदर्शी): Allowing light to pass through so that objects behind can be distinctly seen.
• Example: The transparent glass windows provided a clear view of the garden.
• Irregular (अनियमित): Not even or balanced in shape or arrangement.
• Example: His attendance in class has been very irregular this semester.

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

Key Points

• The word "underrated" means something or someone that is not given the deserved recognition or value. (कम आंका गया)
• Example: She is an underrated artist whose work is not appreciated enough.
• "Underrated" is the correct spelling of the word. (कम आंका गया)
• Example: He is one of the most underrated players in the team.

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

Additional Information

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

• Undereted (गलत वर्तनी): This is a misspelling and does not have a meaning.
• Underreted (गलत वर्तनी): This is a misspelling and does not have a meaning.
• Underatted (गलत वर्तनी): This is a misspelling and does not have a meaning.

The correct answer is: Disgusted.

Key Points

• The word "Appalled" means to be greatly dismayed or horrified. (भयभीत)
• Example: She was appalled by the state of the hospital.
• "Disgusted" refers to a strong feeling of dislike or disapproval. (घृणा महसूस करना)
• Example: He was disgusted by the unfair treatment of the workers.
• Hence, we can infer that the synonym of 'Appalled' is 'Disgusted'.

Therefore, the correct answer is: Disgusted.

Additional Information

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

• Allied (सहयोगी): United or working together.
• Example: The two countries were allied during the war.
• Clap (ताली): Strike the palms of the hands together with a sudden explosive sound.
• Example: The audience began to clap after the performance.
• Applied (लागू): Put to practical use.
• Example: She applied for a job at the new company.

The correct answer is: Admiration.

Key Points

• The word "contempt" means the feeling that someone or something is not worthy of any respect or approval; disdain. (अवमानना)
• Example: She looked at the messy room with contempt, clearly displeased with the state of it.
• "Admiration" refers to a feeling of respect and approval, often mixed with a bit of wonder or delight. (प्रशंसा)
• Example: The students' hard work and dedication earned them the admiration of their teachers.
• Hence, we can infer that the opposite of 'contempt' is 'admiration'.

Therefore, the correct answer is: Admiration.

Additional Information

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

• Obscurity (अस्पष्टता): The state of being unknown, inconspicuous, or unimportant.
• Example: The artist lived in obscurity for most of his life but gained fame posthumously.
• Derision (उपहास): Contemptuous ridicule or mockery.
• Example: His proposal was met with derision by the board members.
• Scorn (तिरस्कार): The feeling or belief that someone or something is worthless or despicable.
• Example: She spoke with scorn about the company's unethical practices.

The correct answer is Option 1.

 

Key Points

• The primary issue in the sentence is the incorrect order of the adjectives and adverbs.
• In English, it is usually correct to say "big enough" rather than "enough big".
• The correct phrase should be "isn't big enough," ensuring grammatical correctness and clarity.
• Thus, the error is located in part 1 of the sentence.

Therefore, the correct answer is 1.

 

Correct Sentence: "The hotel room, which we booked, isn’t big enough."

 

Additional Information

• 2: "which we," – This part of the sentence is grammatically correct and does not require any changes.
• 3: "booked," – This part of the sentence is grammatically correct and does not require any changes.
• 4: "The hotel room," – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is: Option 4.

Key Points

• The idiom "To cost an arm and a leg" means something that is very expensive. (बहुत महंगा होना)
• Example: Buying a new car can cost an arm and a leg.
• "Very expensive" refers to something that requires a lot of money to buy or maintain. (बहुत महंगा)
• Example: His new house is very expensive, it cost him an arm and a leg.

Therefore, the correct answer is: Option 4.

Additional Information

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

• Someone is badly hurt (किसी को बुरी तरह चोट लगी है): Refers to someone who has sustained significant physical injuries.
• Example: He was badly hurt in the accident and needed immediate medical attention.
• Someone has borne losses (किसी ने नुकसान उठाया है): Refers to someone who has experienced financial or material loss.
• Example: He has borne heavy losses in the stock market.
• Someone does not have money to buy something (किसी के पास कुछ खरीदने के लिए पैसे नहीं हैं): Refers to someone who lacks the financial means to purchase something.
• Example: She does not have money to buy a new dress.

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

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

Hence, the correct answer is "Option 1".

The logic followed here is:​

Option 1) MPU

Option 2) QTY

Option 3) DGL

Option 4) FIM

Thus, out of all the options 'FIM' is the odd one out.

Hence, "Option 4" is the correct answer.

The figure that will appear when unfolded the given paper is shown below:

Hence, "Option 3" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 4".

Given: 18 August 2000 was Friday.

Now,

2000 to 2005 = 5 Years (4 Ordinary Years and 1 Leap Year).

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

So, 1 Leap Year has 2 odd days,

And, 4 Ordinary Years have 4 odd days.

Total odd days = 2 + 4 = 6.

6 odd days → 6/7 = 0 weeks and 6 odd days.

then, 18 August 2005 will be Friday + 6 = Thursday.

Now, the number of days between 18 August 2005 to 21 August 2005

= 21 - 18 = 3 days.

= 3 days → Thursday + 3 days.

So, 21 August 2005 will be Thursday + 3 = Sunday.

Hence, the correct answer is "Option 1".

The logic followed here is:​

CODE' is coded as '1573'

And,

'DICE' is coded as '7185'

Therefore, 'O' is coded as:

O → 3

Hence, "Option 1" is the correct answer.

Given : 69 + 15 − (14 × 4 ) ÷ 2 + (48 ÷ 3) = 58

Option 1) 4 and 2

69 + 15 − (14 × 4 ) ÷ 2 + (48 ÷ 3) = 58 ⇒ 69 + 15 − (14 × 2 ) ÷ 4 + (48 ÷ 3) = 58

⇒ 69 + 15 − (14 × 2 ) ÷ 4 + (48 ÷ 3) = 58 

⇒ 69 + 15 − 28 ÷ 4 + 16 = 58

⇒ 69 + 15 + 16 − 7 = 58

⇒ 100 - 7 = 58

⇒ 93 ≠ 58 (LHS ≠ RHS)

Option 2) 48 and 15

69 + 15 − (14 × 4 ) ÷ 2 + (48 ÷ 3) = 58 ⇒ 69 + 48 − (14 × 4 ) ÷ 2 + (15 ÷ 3) = 58

⇒ 69 + 48 − (14 × 4 ) ÷ 2 + (15 ÷ 3) = 58 

⇒ 69 + 48 − 56 ÷ 2 + 5 = 58

⇒ 69 + 48 + 5 − 28 = 58

⇒ 122 - 28 = 58

⇒ 94 ≠ 58 (LHS ≠ RHS)

Option 3) 69 and 48

69 + 15 − (14 × 4 ) ÷ 2 + (48 ÷ 3) = 58 ⇒ 48 + 15 − (14 × 4 ) ÷ 2 + (69 ÷ 3) = 58

⇒ 48 + 15 − (14 × 4 ) ÷ 2 + (69 ÷ 3) = 58

⇒ 48 + 15 − 56 ÷ 2 + 23 = 58 

⇒ 48 + 15 + 23 − 28 = 58

⇒ 86 - 28 = 58

⇒ 58 = 58 (LHS = RHS)

Option 4) 3 and 4

69 + 15 − (14 × 4 ) ÷ 2 + (48 ÷ 3) = 58 ⇒ 69 + 15 − (14 × 3 ) ÷ 2 + (48 ÷ 4) = 58

⇒ 69 + 15 − (14 × 3 ) ÷ 2 + (48 ÷ 4) = 58 

⇒ 69 + 15 − 42 ÷ 2 + 12 = 58

⇒ 69 + 15 + 12 − 21 = 58

⇒ 96 - 12 = 58

⇒ 84 ≠ 58 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 4".

The logic followed here is:​

LJNR is related to IGLP

And,

FDHL is related to CAFJ

Similarly,

HFJN related

Hence, "Option 4" is the correct answer.

The logic followed here is:​

NGPZ is related to JCLV

And,

XDLM is related to TZHI

Similarly,

RUKV is related to

Hence, "Option 3" is the correct answer.

Decoding signs:

Required resultant: 1049

So, checking each option one by one

Option 1) 94 C 11 D 180 A 4 B 60 ⇒ 94 + 11 - 180 ÷ 4 × 60

⇒ 94 + 11 - 180 ÷ 4 × 60

⇒ 94 + 11 - 45 × 60

⇒ 94 + 11 - 2700

⇒ 105 - 2700

⇒ -2595

Option 2) 94 B 11 D 180 A 4 C 60 ⇒ 94 × 11 - 180 ÷ 4 + 60

⇒ 94 × 11 - 180 ÷ 4 + 60

⇒ 94 × 11 - 45 + 60

⇒ 1034 + 60 - 45

⇒ 1094 - 45

⇒ 1049

Option 3) 94 D 11 B 180 A 4 C 60 ⇒ 94 - 11 × 180 ÷ 4 + 60

⇒ 94 - 11 × 180 ÷ 4 + 60

⇒ 94 - 11 × 45 + 60

⇒ 94 + 60 - 495

⇒ 154 - 495

⇒ -341

Option 4) 94 A 11 D 180 B 4 C 60 ⇒ 94 ÷ 11 - 180 × 4 + 60

⇒ 94 ÷ 11 - 180 × 4 + 60

⇒ 8.54 - 180 × 4 + 60

⇒ 8.54 + 60 - 720

⇒ 78.54 - 720

⇒ -641.46

Hence, "Option 4" is the correct answer.

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

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

Hence, "Option 1" is the correct answer.

The logic followed here is:​

Hence, "Option 4" is the correct answer.

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

Conclusions:

I. No strawberry is a melon → Does not follow (As some strawberries are oranges, some oranges are kiwis and all kiwis are melons. So no definite relation is given between strawberry and melon, therefore it is false.)

II. All strawberries are melons → Does not follow (As some strawberries are oranges, some oranges are kiwis and all kiwis are melons. So it is possible but not definite)

III. Some strawberries are kiwis → Does not follow (As some strawberries are oranges and some oranges are kiwis. So it is possible but not definite)

∴ Here, Neither conclusions I, II nor III follows.​

Hence, the correct answer is "Option 1"

The logic followed here is:​

‘BAKE’ is coded as ‘2496’

‘CAKE’ is coded as ‘4369’

As A, K, and E are common, therefore the code for 'B' is:

B → 2

Hence, "Option 4" is the correct answer.

The logic followed here is:

Logic: 1st number ÷ 7 = 2nd number

Now,

For, 161 : 23

⇒ 161 ÷ 7 = 23.

For, 301 : 43

⇒ 301 ÷ 7 = 43.

Similarly, for 427 : ?

⇒ 427 ÷ 7 = 61.

Hence, the correct answer is "Option 1".

Given Equation: 35 B 7 D 120 A 12 C 38 = ?

BODMAS Rule:

Decoding the given information:

 

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

⇒ 35 × 7 - 120 ÷ 12 + 38 = ?

⇒ 35 × 7 - 10 + 38 = ?

⇒ 245 - 10 + 38 = ?

⇒ 283 - 10 = 273.

Hence, the correct option is "Option 4".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 4".

Given: 4 December 2014 was Thursday.

Now,

2014 to 2018 = 4 Years (3 Ordinary Years and 1 Leap Year).

And, In 4 Years = 1 Leap Year and 3 Ordinary Years.

So, 1 Leap Year has 2 odd days,

And, 3 Ordinary Years have 3 odd days.

Total odd days = 2 + 3 = 5.

5 odd days → 5 days ahead of Thursday.

then, 4 December 2018 will be Thursday + 5 = Tuesday.

Now, the number of days between 4 December 2018 to 10 December 2018

= 6 days.

6 days → 6 days ahead of Tuesday.

So, 10 December 2018 will be Tuesday + 6 = Monday.

Hence, the correct answer is "Option 1".

The logic followed here is:

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

Now,

For, (11, 8, 352)

⇒ (11 × 8) × 4

⇒ 88 × 4 = 352.

For, (15, 6, 360)

⇒ (15 × 6) × 4

⇒ 90 × 4 = 360.

Similarly, for (16, 5, 320)

⇒ (16 × 5) × 4

⇒ 80 × 4 = 32.

Hence, the correct answer is "Option 3".

Given series: xy_z_xxy_zbx_yx_bx_y_z_x

So, checking each option one by one:

Option 1) xzxxyyzx →xyxzbxxyxzbxxyxzbxxyxzbx → (It doesn't follows any pattern)

Option 2) xyxxzxxb →xyxzbxxyxzbxxyxzbxxyxzbx → (It doesn't follows any pattern)

Option 3) xbxxzxxb →xyxzbxxyxzbxxyxzbxxyxzbx → (It follows the pattern of: xyxzbx - xyxzbx - xyxzbx - xyxzbx)

Option 4) xbxyzxxb →xyxzbxxyxzbxxyxzbxxyxzbx → (It doesn't follows any pattern)

Hence, "Option 3" is the correct answer.

Given : (99 − 42 + 11) + (36 ÷ 6) × 7 − 50 = 73

Option 1) 50 and 11

(99 − 42 + 11) + (36 ÷ 6) × 7 − 50 = 73 ⇒ (99 − 42 + 50) + (36 ÷ 6) × 7 − 11 = 73

⇒ (99 + 50 − 42) + (36 ÷ 6) × 7 − 11 = 73

⇒ **(**149 − 42) + 6 × 7 − 11 = 73

⇒ 107 + 6 × 7 − 11 = 73

⇒ 107 + 42 - 11 = 73

⇒ 149 - 11 = 73

⇒ 138 ≠ 73 (LHS ≠ RHS)

Option 2) 50 and 99

(99 − 42 + 11) + (36 ÷ 6) × 7 − 50 = 73 ⇒ (50 − 42 + 11) + (36 ÷ 6) × 7 − 99 = 73

⇒ (50 + 11 − 42) + (36 ÷ 6) × 7 − 99 = 73

⇒ **(**61 − 42) + 6 × 7 − 99 = 73

⇒ 19 + 6 × 7 − 99 = 73

⇒ 19 + 42 − 99 = 73

⇒ 61 - 99 = 73

⇒ -38 ≠ 73 (LHS ≠ RHS)

Option 3) 7 and 11

(99 − 42 + 11) + (36 ÷ 6) × 7 − 50 = 73 ⇒ (99 − 42 + 7) + (36 ÷ 6) × 11 − 50 = 73

⇒ (99 + 7 − 42) + (36 ÷ 6) × 11 − 50 = 73

⇒ **(**106 − 42) + 6 × 11 − 50 = 73

⇒ 64 + 6 × 11 − 50 = 73

⇒ 64 + 66 - 50 = 73

⇒ 130 - 50 = 73

⇒ 80 ≠ 73 (LHS ≠ RHS)

Option 4) 42 and 36

(99 − 42 + 11) + (36 ÷ 6) × 7 − 50 = 73 ⇒ (99 − 36 + 11) + (42 ÷ 6) × 7 − 50 = 73

⇒ (99 + 11 − 36) + (42 ÷ 6) × 7 − 50 = 73

⇒ (110 - 36) + 7 × 7 − 50 = 73

⇒ 74 + 7 × 7 − 50 = 73

⇒ 74 + 49 - 50 = 73

⇒ 123 - 50 = 73

⇒ 73 = 73 (LHS = RHS)

Hence, "Option 4" is the correct answer.

The logic followed here is: Two new elements are added i.e. '

', '

', '

', '

', and '

' subsequently

Thus, final series is:

Hence, "Option 1" is the correct answer.

The logic followed here is:

Hence, "Option 3" is the correct answer.

Decoding symbols:

Given: P ÷ Q × R − S + T

P ÷ Q ⇒ P is the mother of Q.

Q × R ⇒ Q is the wife of R.

R − S ⇒ R is the father of S.

S + T ⇒ S is the brother of T.

Thus, P is the maternal grandmother or mother's mother of T.

Hence, "Option 4" is the correct answer.

Given:

The number of candidates selected for schools M, N, O, and P over the years 2012 to 2017.

Formula used:

Average = (Sum of selected candidates) ÷ (Number of years)

Calculation:

School M: 84 + 55 + 42 + 89 + 92 + 94 = 456

⇒ Average for M = 456 ÷ 6 = 76

School N: 34 + 56 + 66 + 72 + 86 + 92 = 406

⇒ Average for N = 406 ÷ 6 = 67.67

School O: 27 + 36 + 48 + 57 + 68 + 89 = 325

⇒ Average for O = 325 ÷ 6 = 54.17

School P: 23 + 56 + 67 + 87 + 89 + 93 = 415

⇒ Average for P = 415 ÷ 6 = 69.17

∴ The maximum average number of candidates selected is for School M with an average of 76.

Given:

Candidate C has 18% of valid votes.

Valid votes obtained by Candidate C = 270

Formula used:

Total valid votes = (Votes of C × 100) ÷ Percentage of votes for C

Valid votes for a candidate = (Total valid votes × Percentage of votes for the candidate) ÷ 100

Calculation:

Total valid votes = (270 × 100) ÷ 18

⇒ Total valid votes = 1500

Votes for A = (1500 × 45) ÷ 100

⇒ Votes for A = 675

Votes for D = (1500 × 16) ÷ 100

⇒ Votes for D = 240

Votes for Q = (1500 × 13) ÷ 100

⇒ Votes for Q = 195

Votes for E = (1500 × 8) ÷ 100

⇒ Votes for E = 120

Difference between D and Q = 240 - 195 = 45

∴ The two candidates for whom the difference in valid votes obtained is 45 are Candidate D and Candidate Q.

Given:

∆ABC is similar to ∆DEF and the ratio of the area of triangle ABC to triangle DEF is 25 ∶ 144.

If AB = p cm, AC = q cm and BC = r cm, then DE = ?

Formula used:

Ratio of areas of similar triangles = (Ratio of corresponding sides)²

Calculation:

Ratio of areas = 25/144

⇒ (Ratio of corresponding sides)² = 25/144

⇒ Ratio of corresponding sides = √(25/144)

⇒ Ratio of corresponding sides = 5/12

⇒ AB/DE = 5/12

⇒ DE = (12/5) × AB

⇒ DE = (12/5) × p

∴ The correct answer is option (3).

Given:

Exports of Company M in 2008 = Rs. 210 crores

Ratio of imports to exports for Company M in 2008 = 1.4 (from the graph)

Formula used:

Imports = Exports × Ratio of imports to exports

Calculation:

Imports = 210 × 1.4

⇒ Imports = 294 crores

∴ The imports of Company M in 2008 were Rs. 294 crores.

Given:

Sapna finishes a job in 12 hours working alone.

Sapna and Riya together finish the job in 8 hours.

Formula used:

Work rate of Sapna = $\dfrac{1}{12}$ job/hour

Work rate of Sapna and Riya together = $\dfrac{1}{8}$ job/hour

Let the work rate of Riya be $\dfrac{1}{x}$ job/hour

Calculations:

$\dfrac{1}{12} + \dfrac{1}{x} = \dfrac{1}{8}$

⇒ $\dfrac{1}{x} = \dfrac{1}{8} - \dfrac{1}{12}$

⇒ $\dfrac{1}{x} = \dfrac{3 - 2}{24}$

⇒ $\dfrac{1}{x} = \dfrac{1}{24}$

⇒ x = 24

∴ The correct answer is option 3.

Given:

Diameter of the football (d) = 28 cm

Painter charges = Rs. 2/cm²

Formula used:

Surface Area of a Sphere (A) = 4πr²

Where, r = radius of the sphere

Calculations:

Radius (r) = d/2 = 28/2 = 14 cm

⇒ Surface Area (A) = 4 × (22/7) × 14²

⇒ A = 4 × (22/7) × 196

⇒ A = 4 × 22 × 28

⇒ A = 2464 cm²

Cost of painting = Surface Area × Painter charges

⇒ Cost = 2464 × 2 = Rs. 4928

∴ The correct answer is option 1.

Given:

If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = ______.

Formula used:

For divisibility by 5, the last digit (k) must be 0 or 5.

For divisibility by 11, the alternating sum of the digits must be divisible by 11.

Calculation:

Since 3c2933k is divisible by 5, k must be 0 or 5.

According to the question, 

c and k are the single-digit natural numbers, Since '0' is not the natural number, so only possible value of k is 5.

if k = 5: 3c2933k ⇒ 3c29335

Difference of sum of alternating digit:

⇒ (3 + 2 + 3 + 5) - (c + 9 + 3)

⇒ 13 - (c + 12)

⇒ 1 - c

For divisibility by 11:

⇒ 1 - c = 0, 11,

⇒ 1 - c = 0

⇒ c = 1

Then, c + k = 1 + 5 = 6

∴ The correct answer is option 1.

Given:

The length, breadth, and height of a cuboid are in the ratio of 3 ∶ 4 ∶ 5. The volume of the cuboid is 1620 m³.

Formula used:

Volume of cuboid = length × breadth × height

Let the length, breadth, and height be 3x, 4x, and 5x respectively.

Total surface area of cuboid = 2(lb + bh + hl)

Calculations:

Volume = length × breadth × height

1620 = 3x × 4x × 5x

⇒ 1620 = 60x³

⇒ x³ = 27

⇒ x = 3

Length = 3x = 3 × 3 = 9 m

Breadth = 4x = 4 × 3 = 12 m

Height = 5x = 5 × 3 = 15 m

Total surface area = 2(lb + bh + hl)

⇒ Total surface area = 2(9 × 12 + 12 × 15 + 15 × 9)

⇒ Total surface area = 2(108 + 180 + 135)

⇒ Total surface area = 2(423)

⇒ Total surface area = 846 m²

∴ The correct answer is option (4).

Given:

Monthly salary of Jitvik in December 2020 = ₹24,800

Annual salary increase = 5%

Formula used:

New Salary = Old Salary × (1 + Rate/100)

Calculation:

Salary in January 2021 = 24,800 × (1 + 5/100)

⇒ Salary in January 2021 = 24,800 × 1.05

⇒ Salary in January 2021 = 26,040

Salary in January 2022 = 26,040 × (1 + 5/100)

⇒ Salary in January 2022 = 26,040 × 1.05

⇒ Salary in January 2022 = 27,342

⇒ Salary in February 2022 = 27,342

∴ The correct answer is option 4.

Given:

A cylindrical oil tank has a radius of 5 m and a total surface area of 628 m².

Formula used:

Total Surface Area (TSA) of a cylinder = 2πr(r + h)

Curved Surface Area (CSA) of a cylinder = 2πrh

Calculation:

Given Total Surface Area (TSA) = 628 m²

Given radius (r) = 5 m

TSA = 2πr(r + h)

628 = 2π × 5 × (5 + h)

⇒ 628 = 10π × (5 + h)

⇒ 628 = 10 × 22/7 × (5 + h)

⇒ 19.98 = 5 + h

⇒ h = 14.98 m

Now, CSA = 2πrh

CSA = 2π × 5 × 14.98

⇒ CSA = 10π × 15

⇒ CSA = 10 × 22/7 × 14.98

⇒ CSA = 470.8 m²

∴ The correct answer is option (4).

Given:

Cost Price (CP) = ₹4,960

Selling Price (SP) = ₹4,712

Formula used:

Loss Percentage = $\frac{(CP - SP)}{CP} \times 100$

Calculation:

Loss = ₹4,960 - ₹4,712

⇒ Loss = ₹248

Loss Percentage = $\frac{248}{4960} \times 100$

⇒ Loss Percentage = 5%

∴ The correct answer is option (4).

Given:

Raju's initial amount = ₹11,000

Raju's weekly saving = ₹5,000

Ramesh's initial amount = ₹60,000

Ramesh's weekly spending = ₹2,000

Formula used:

Raju's amount after n weeks = Initial amount + (weekly saving × n)

Ramesh's amount after n weeks = Initial amount - (weekly spending × n)

Calculations:

Raju's amount after n weeks = 11000 + 5000n

Ramesh's amount after n weeks = 60000 - 2000n

We need to find n when both amounts are equal:

11000 + 5000n = 60000 - 2000n

⇒ 11000 + 5000n = 60000 - 2000n

⇒ 5000n + 2000n = 60000 - 11000

⇒ 7000n = 49000

⇒ n = 49000 / 7000

⇒ n = 7

∴ The correct answer is option (1).

Given:

99 - [169 ÷ (13 × 13) - (-4) - {3 - 17 + 10}]

Formula used:

Order of operations: Parentheses → Exponents → Multiplication and Division (left to right) → Addition and Subtraction (left to right)

Calculation:

99 - [169 ÷ (13 × 13) - (-4) - {3 - 17 + 10}]

⇒ 99 - [169 ÷ 169 - (-4) - {3 - 17 + 10}]

⇒ 99 - [1 - (-4) - {3 - 17 + 10}]

⇒ 99 - [1 + 4 - {3 - 17 + 10}]

⇒ 99 - [1 + 4 - {-4}]

⇒ 99 - [1 + 4 + 4]

⇒ 99 - [9]

⇒ 99 - 9

⇒ 90

∴ The correct answer is option 2.

Given:

The distance between the centres of two circles of radii 7 cm and 5 cm is 15 cm.

Formula used:

Length of transverse common tangent (T) = $\sqrt{d^2 - (r_1 + r_2)^2}$

Where,

d = distance between the centres of the circles

r₁ = radius of first circle

r₂ = radius of second circle

Calculation:

d = 15 cm, r₁ = 7 cm, r₂ = 5 cm

⇒ T = $\sqrt{15^2 - (7 + 5)^2}$

⇒ T = $\sqrt{225 - 144}$

⇒ T = $\sqrt{81}$

⇒ T = 9 cm

∴ The correct answer is option 2.

Given:

Marked Price (MP) = ₹4,000

Successive discounts: 15%, 10%, 5%

Formula used:

Successive Discount Formula: Final Price = MP × (1 - d1/100) × (1 - d2/100) × (1 - d3/100)

Calculation:

Final Price = 4000 × (1 - 15/100) × (1 - 10/100) × (1 - 5/100)

⇒ Final Price = 4000 × 0.85 × 0.90 × 0.95

⇒ Final Price = 4000 × 0.85 = 3400

⇒ Final Price = 3400 × 0.90 = 3060

⇒ Final Price = 3060 × 0.95 = 2907

∴ The correct answer is option (1).

Given:

The difference between 31% and 26% of votes for the same party at different places is 2350.

Formula used:

Let the total number of votes be V.

31% of V - 26% of V = 2350

7% of V = ?

Calculation:

31% of V - 26% of V = 2350

⇒ 0.31V - 0.26V = 2350

⇒ 0.05V = 2350

⇒ V = 2350 / 0.05

⇒ V = 47000

7% of V = 0.07V

⇒ 0.07 × 47000

⇒ 3290

∴ The correct answer is option 3.

Given:

A girl walking at a speed of 9 km/h crosses a bridge in 45 minutes.

Formula used:

Distance = Speed × Time

Calculations:

Time = 45 minutes = 45/60 hours = 0.75 hours

Speed = 9 km/h

Distance = Speed × Time

⇒ Distance = 9 km/h × 0.75 hours

⇒ Distance = 6.75 km

⇒ Distance in metres = 6.75 km × 1000

⇒ Distance = 6750 metres

∴ The correct answer is option 1.

Given:

AB is parallel to DC in a trapezium ABCD. AB > DC and the diagonals AC and BD intersect at O.

AO = 3x - 15, OB = x + 9, OC = x - 5, OD = 5

Formula used:

In a trapezium with parallel sides AB and DC, the diagonals intersecting at O divide each other proportionally:

$\dfrac{AO}{OB} = \dfrac{OC}{OD}$

Calculation:

$\dfrac{3x-15}{x+9} = \dfrac{x-5}{5}$

⇒ (3x - 15) × 5 = (x + 9) × (x - 5)

⇒ 15x - 75 = x² + 9x - 5x - 45

⇒ 15x - 75 = x² + 4x - 45

⇒ x² - 11x + 30 = 0

Solving the quadratic equation:

⇒ x =$\frac{11 \pm \sqrt{121 - 120}}{2}$

⇒ x₁ = 6, x₂ = 5

To find x₁² + x₂²:

⇒ 6² + 5² = 36 + 25 = 61

∴ The correct answer is option (3).

Given:

Abhishek's incorrect marks = 93

Abhishek's correct marks = 63

Increase in average marks = 0.5

Formula used:

Increase in total marks = Incorrect marks - Correct marks

New average = Old average + Increase in average

Increase in average = Increase in total marks / Number of students

Calculation:

Increase in total marks = 93 - 63

⇒ Increase in total marks = 30

Number of students = Increase in total marks / Increase in average

⇒ Number of students = 30 / 0.5

⇒ Number of students = 60

∴ The correct answer is option 3.

Given:

The population of a town first decreased by 16% due to migration to a big city for better job opportunities. The next year, the population of the town increased by 21% as there were better facilities for jobs.

Formula used:

Net Percentage Change = (Final Population - Initial Population) / Initial Population × 100

Calculation:

Let the initial population be 100.

After a 16% decrease:

⇒ Population = 100 - 16% of 100

⇒ Population = 100 - 16

⇒ Population = 84

After a 21% increase:

⇒ Population = 84 + 21% of 84

⇒ Population = 84 + 0.21 × 84

⇒ Population = 84 + 17.64

⇒ Population = 101.64

Net Percentage Change:

⇒ ((101.64 - 100) / 100) × 100

⇒ 1.64%

∴ The correct answer is option (2).

Given:

In triangle XYZ, XY = YZ and m∠X = 78º.

Formula used:

In an isosceles triangle, the base angles are equal.

Sum of angles in a triangle = 180º.

Calculation:

Let the base angles be m∠Y and m∠Z.

Since XY = YZ, m∠X = m∠Z.

m∠X + m∠Y + m∠Z = 180º

78º + m∠Y + 78º = 180º

⇒ 156º + m∠Y = 180º

⇒ m∠Y = 180º - 156º

⇒ m∠Y = 24º

∴ The correct answer is option (2).

Given:

If tan A = a tan B and sin A = b sin B

Formula used:

tan A = sin A / cos A

sin²A + cos²A = 1

Calculation:

tan A = a tan B

⇒ $\frac{sinA}{cosA}$ = a $\frac{sinB}{cosB}$

⇒ $\frac{sinA.cosB}{cosA.sinB} = a$   ---(i)

Since, c A = b sin B ⇒ sin A/sin B = b

So, b $\frac{cosB}{cosA}$ = a

⇒ b cos B = a cos A

on squaring both sides,

⇒ b² cos²B = a² cos²A   ---(ii)

Now, we have,

sin A = b sin B

⇒ sin²A = b² sin²B

⇒ 1 - cos²A = b² (1 - cos²B)

⇒ 1 - cos2A = b2 - b² cos2B

⇒ b2 cos2B = b² - 1 + cos²A  

From equation (ii),

⇒ b2 cos2B = a2 cos2A

⇒ b2 - 1 + cos2A  = a2 cos2A

⇒ b2 - 1 = a2 cos2A - cos2A

⇒ b2 - 1 = cos²A (a² -1)

⇒ cos2A = $\frac{b^2-1}{a^2-1}$

∴ The correct answer is option (1).

Given:

Sales of two wheelers in 2013 = 13.8 million units

Sales of two wheelers in 2014 = 14.8 million units

Formula used:

Percentage increase = [(Sales in 2014 - Sales in 2013) ÷ Sales in 2013] × 100

Estimated sales in 2015 = Sales in 2014 × (1 + Percentage increase)

Calculation:

Percentage increase = [(14.8 - 13.8) ÷ 13.8] × 100

⇒ Percentage increase = (1 ÷ 13.8) × 100

⇒ Percentage increase ≈ 7.25%

Estimated sales in 2015 = 14.8 × (1 + 7.25 ÷ 100)

⇒ Estimated sales in 2015 = 14.8 × 1.0725

⇒ Estimated sales in 2015 ≈ 15.8 million units

∴ Approximately 15.8 million two wheelers will be sold in 2015.

Given:

Principal (P) = ₹18,000

Simple Interest (SI) = ₹3,240

Time (t) = 2 years 3 months = 2.25 years

Formula used:

SI = P × r × t / 100

Where, r = rate of interest per annum

Calculations:

3240 = 18000 × r × 2.25 / 100

⇒ r = (3240 × 100) / (18000 × 2.25)

⇒ r = 324000 / 40500

⇒ r = 8%

∴ The correct answer is option (1).

Given:

a ∶ b = 3 ∶ 4

b ∶ c = 2 ∶ 3

c ∶ d = 5 ∶ 6

Formula used:

To find a ∶ b ∶ c ∶ d, we need to find a common ratio for all terms.

Calculations:

a ∶ b = 3 ∶ 4

b ∶ c = 2 ∶ 3

c ∶ d = 5 ∶ 6

First, make the 'b' term same in both ratios a ∶ b and b ∶ c:

a ∶ b = 3 ∶ 4 = 3 × 2 ∶ 4 × 2 = 6 ∶ 8

b ∶ c = 2 ∶ 3 = 2 × 4 ∶ 3 × 4 = 8 ∶ 12

Now, make the 'c' term same in both ratios b ∶ c and c ∶ d:

c ∶ d = 5 ∶ 6 = 5 × 3 ∶ 6 × 3 = 15 ∶ 18

Now, combine a ∶ b ∶ c ∶ d:

a ∶ b = 6 ∶ 8

b ∶ c = 8 ∶ 12

c ∶ d = 15 ∶ 18

Therefore, a ∶ b ∶ c ∶ d = 6 ∶ 8 ∶ 12 ∶ 15 ∶ 18

⇒ Simplified: 15 ∶ 20 ∶ 30 ∶ 36

∴ The correct answer is option (3).

The correct answer is Exclusion Dictionary

Key Points

• The Exclusion Dictionary in Microsoft Word allows you to exclude specific sections or types of text from the spelling and grammar check.
• It is particularly useful for omitting proper nouns, technical terms, or other specialized language that you don't want to be flagged by the spell checker.
• This feature helps maintain the accuracy of the spelling and grammar check by ignoring words that are intentionally spelled differently or are not part of the standard dictionary.
• The Exclusion Dictionary can be managed and edited to include or exclude words as needed, providing flexibility in document editing and proofreading.

Additional Information

• Thesaurus in Microsoft Word helps find synonyms and antonyms for a selected word but does not exclude sections from spelling and grammar checks.
• AutoCorrect automatically corrects common spelling and typing errors as you type, but it also does not exclude specific text sections from checks.
• Spell Check is the feature that reviews spelling and grammar across the entire document, identifying errors but not excluding any sections unless configured through settings like the Exclusion Dictionary.

The correct answer is Odissi

Key Points

• Sanjukta Panigrahi was a renowned classical dancer from India.
• She is most famously associated with the Odissi dance form.
• Odissi is one of the eight classical dance forms of India and originates from the state of Odisha.
• Sanjukta Panigrahi played a pivotal role in popularizing Odissi dance on the global stage.

Additional Information

• Odissi dance is characterized by its fluid movements, intricate gestures, and expressive facial expressions.
• The dance form has a long history, with roots tracing back to ancient temples in Odisha, where it was performed as a form of worship.
• Sanjukta Panigrahi received numerous awards for her contributions to Odissi, including the Padma Shri and the Sangeet Natak Akademi Award.

The correct answer is Sanyasi Rebellion

Key Points

• Anand Math is a famous novel written by Bankim Chandra Chatterjee.
• The novel is based on the Sanyasi Rebellion, which took place in the late 18th century against the British rule in India.
• The Sanyasi Rebellion involved Hindu ascetics (sanyasis) who rebelled against the British East India Company.
• The novel is noted for its patriotic themes and the famous song "Vande Mataram", which later became a rallying cry for the Indian independence movement.
• It was first published in 1882 and remains a significant work in Indian literature.

Additional Information

• The Paika Rebellion was an armed rebellion against the British East India Company in 1817 in Odisha.
• The Kuki Revolt refers to various uprisings by the Kuki people in Northeast India.
• The Mappila Rebellion, also known as the Malabar Rebellion, was an uprising against British authority and Hindu landlords in Kerala by the Mappila Muslims in 1921.
• Bankim Chandra Chatterjee is considered one of the greatest writers in Indian literature and his works played a crucial role in the Indian renaissance.

The correct answer is boxing

Key Points

• Lovlina Borgohain is associated with the sport of boxing.
• She is an Indian boxer who has made significant contributions to the sport.
• Lovlina has represented India in various international competitions and has won several medals.
• She gained widespread recognition for her performance in the Tokyo 2020 Olympics, where she won a bronze medal in the women's welterweight category.
• Her achievements have made her a prominent figure in Indian sports, especially in boxing.

Additional Information

• Lovlina Borgohain was born on 2nd October 1997 in the Golaghat district of Assam, India.
• She started her boxing career at a young age and quickly rose through the ranks due to her talent and hard work.
• She has been honored with several awards, including the prestigious Arjuna Award for her contributions to boxing.
• Lovlina continues to inspire many young athletes in India, particularly those aspiring to pursue a career in boxing.

The correct answer is Madhya Pradesh

Key Points

• Madhya Pradesh is the state where Pai songs are accompanied by the Saria dance during the rain festivals.
• The Pai songs and Saria dance are traditional cultural expressions of the local communities in Madhya Pradesh.
• These performances are an integral part of the rain festivals, celebrating the arrival of monsoon and the agricultural season.
• The festival and the associated dance and music reflect the rich cultural heritage and the agrarian lifestyle of the region.

Additional Information

• Madhya Pradesh, known as the "Heart of India," is renowned for its diverse culture and traditions.
• The state has a rich history and is home to several UNESCO World Heritage Sites, including the Khajuraho Group of Monuments and the Sanchi Stupa.
• The traditional music and dance forms of Madhya Pradesh, such as the Pai songs and Saria dance, play a significant role in the cultural identity of the state.
• The rain festivals in Madhya Pradesh not only celebrate the monsoon but also bring communities together, strengthening social bonds and fostering a sense of community.

The correct answer is Bihar and Arunachal Pradesh

Key Points

• Bihar and Arunachal Pradesh recorded the lowest literacy rates as per the Census of India 2011.
• The Census of India 2011 is the 15th National census survey conducted by the Census Organization of India.
• Bihar had a literacy rate of 61.80%, which was the lowest among all states.
• Arunachal Pradesh had a literacy rate of 66.95%, placing it among the lowest literacy rates in the country.
• These figures highlight the educational challenges faced by these states and the need for focused educational policies and programs.

Additional Information

• The Census of India is conducted every ten years by the Office of the Registrar General and Census Commissioner, under the Ministry of Home Affairs, Government of India.
• The census provides comprehensive data on the demographic, social, and economic characteristics of the Indian population.
• It is crucial for planning and policy-making processes in various sectors, including education, healthcare, and infrastructure development.
• The literacy rate is a key indicator of educational attainment and is defined as the percentage of people aged seven and above who can read and write with understanding.
• Efforts to improve literacy rates include government initiatives like the Sarva Shiksha Abhiyan and the National Literacy Mission.

The correct answer is Thanjavur

Key Points

• Brihadiswara Temple is located in Thanjavur, Tamil Nadu.
• It is one of the largest South Indian temples and an exemplary example of Dravidian architecture.
• The temple was built by Raja Raja Chola I in 1010 AD.
• It is a part of the UNESCO World Heritage Site known as the "Great Living Chola Temples".
• The temple is dedicated to Lord Shiva and is also known as Peruvudaiyar Kovil.

Additional Information

• The temple's Vimana (temple tower) is one of the tallest of its kind in the world.
• The temple is renowned for its architectural brilliance and intricate sculptures.
• The temple complex includes a massive statue of Nandi (sacred bull), carved out of a single stone.
• It is an important pilgrimage site and a major tourist attraction in Tamil Nadu.
• The Brihadiswara Temple stands as a testament to the Chola dynasty's contribution to art, architecture, and culture.

The correct answer is United Nations Convention on the Law of the Sea relating to repression of piracy on high seas.

Key Points

• The Maritime Anti-Piracy Act, 2022, was enacted to give effect to the United Nations Convention on the Law of the Sea (UNCLOS) relating to the repression of piracy on the high seas.
• UNCLOS provides a comprehensive legal framework governing the rights and responsibilities of nations in their use of the world's oceans, promoting the peaceful use of the seas and the equitable and efficient utilization of their resources.
• It includes provisions to combat piracy and armed robbery at sea, ensuring that all states cooperate to the fullest possible extent in the repression of piracy.
• The Act enables the Indian government to take stringent measures against piracy, ensuring the safety and security of maritime navigation and protecting the interests of the nation.

Additional Information

• The United Nations Convention on the Law of the Sea (UNCLOS) was adopted in 1982 and came into force in 1994.
• It is often referred to as the "Constitution for the oceans," establishing guidelines for businesses, the environment, and the management of marine natural resources.
• UNCLOS has been ratified by over 160 countries, including India, which ratified the convention on June 29, 1995.
• The convention covers various aspects of maritime law, including territorial waters, contiguous zones, continental shelves, and exclusive economic zones.
• India's commitment to UNCLOS is reflected in its national legislation, including the Maritime Anti-Piracy Act, 2022, which aligns with the international standards set by the convention.

The correct answer is National income = NDP at factor cost + net factor income from abroad

Key Points

• The correct relationship is National income = NDP at factor cost + net factor income from abroad.
• This equation reflects the true measure of a nation's income, taking into account both domestic production and net income received from abroad.
• National income is a key indicator used to assess the economic health of a country.
• Net factor income from abroad includes incomes earned by residents from overseas investments minus incomes earned by foreign residents from domestic investments.

Additional Information

• Gross Domestic Product (GDP) at market price is the total value of all final goods and services produced within a country in a given period.
• Net Domestic Product (NDP) at market price is GDP minus depreciation.
• Domestic income is NDP at factor cost plus net indirect taxes.

The correct answer is Mercury

Key Points

• Mercury is the fastest planet in our solar system, traveling through space at about 29 miles (47 kilometers) per second.
• It is the closest planet to the Sun, which contributes to its high orbital speed.
• Mercury completes one orbit around the Sun in just 88 Earth days.
• The high speed and short orbital period are due to Mercury's proximity to the Sun, resulting in stronger gravitational forces.

Additional Information

• Mercury has a very thin atmosphere, which is not capable of slowing down meteoroids, resulting in many impact craters on its surface.
• It experiences extreme temperature variations, with daytime temperatures rising to 800 degrees Fahrenheit (427 degrees Celsius) and dropping to -290 degrees Fahrenheit (-179 degrees Celsius) at night.
• Despite its speed and proximity to the Sun, Mercury is not the hottest planet in our solar system; that title goes to Venus due to its thick, heat-trapping atmosphere.
• Mercury's rapid orbit was one of the key pieces of evidence leading to the development of Einstein's theory of general relativity.