SSC CHSL Tier-1 2024: Official Paper (Held On: 11 Jul, 2024 Shift 2) (Previous Year Paper)

The correct answer is Option 4.

Key Points

• The primary issue in the sentence is the use of the incorrect verb form "do" instead of "does."
• For the third person singular (he, she, it), the correct form of the verb "do" is "does."
• The correct phrase should be "He does not," ensuring grammatical correctness.
• Thus, the error is located in part 4 of the sentence.

Therefore, the correct answer is 4.

Correct Sentence: "He does not fear the repercussions of this decision."

Additional Information

• 1: "repercussions of" – This part of the sentence is grammatically correct and does not require any changes.
• 2: "fear the" – This part of the sentence is grammatically correct and does not require any changes.
• 3: "this decision." – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 2.

Key Points

• In the given sentence, the definite article "the" is used before "road to Taj Mahal" to specify a particular road.
• The indefinite article "a" is used before "forest" because it refers to any general forest.
• Using "the" before "road" makes the sentence clear and specific because it refers to a known or identifiable road to the Taj Mahal.

Therefore, the correct answer is Option 2.

Complete Sentence: The road to Taj Mahal passes through a forest.

Additional Information

• Option 1: “A; a” would be incorrect because the use of "a" before "road" does not specify a particular road to the Taj Mahal.
• Option 3: “A; the” would place incorrect emphasis, making "forest" too specific when it should be general.
• Option 4: “Ø; Ø” would make the sentence improper as articles are needed for clarity and correctness.

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect use of the article "a" before the term "expensive city."
• The correct article should be "an" as it precedes a word starting with a vowel sound.
• The correct phrase should be "an expensive city too," ensuring grammatical correctness and clarity.

Therefore, the correct answer is Option 1.

Correct Sentence: "Mumbai is the city of dreams but it is an expensive city too."

Additional Information

• Option 2: "Mumbai is the" – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "city of dreams" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "but it is" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect use of the phrase "chase out" in the context of dealing with clients having outstanding debts.
• The phrase "chase out" is typically used in contexts where someone is physically removed or expelled from a place.
• A more appropriate phrase might be "follow up with" or "deal with" clients with outstanding debts.
• Thus, the error is located in part 1 of the sentence.

Therefore, the correct answer is Option 1.

Correct Sentence: "It is his job to follow up with clients with outstanding debts."

Additional Information

• It is his job – This part of the sentence is grammatically correct and does not require any changes.
• clients with – This part of the sentence is grammatically correct and does not require any changes.
• outstanding debts – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 2.

Key Points

• The word "cease" means to stop or come to an end. (अंत होना)
• Example: The factory ceased operations due to financial difficulties.
• In the context of the passage, the 500/- and 1000/- rupee notes would "cease" to be legal tender, indicating that they would no longer be accepted as valid currency.
• Therefore, the correct answer is 'Option 2' i.e. 'cease.'

Correct Sentence: "When Prime Minister Narendra Modi announced that rupees with the denominations of 500/- and 1000/- would cease to be the legal tender from the 9^th of November, the whole country was stunned."

Additional Information

• Unify (एकीकरण करना): To make or become united, uniform, or whole.
• Example: The new leader aimed to unify the divided country.
• Seize (जब्त करना): To take hold of suddenly and forcibly.
• Example: The police seized the stolen goods from the warehouse.
• Collaborate (सहयोग करना): To work jointly with others or together especially in an intellectual endeavor.
• Example: The two corporations decided to collaborate on a new project.

The correct answer is Option 1.

Key Points

• The word "accumulated" means gathered together or acquired an increasing number or quantity over time. (जमा किया हुआ)
• Example: Over the years, she accumulated a significant amount of wealth.
• In the context of the passage, "accumulated" fits best as people were counting the cash they had gathered or collected over the years.

​Therefore, the correct answer is 'Option 1 i.e. 'accumulated'.

Complete Sentence: People started counting the cash they had accumulated for years legally or illegally.

Additional Information

• Distributed (वितरित): means to give shares of something; to pass out.
• Example: The charity distributed food and clothing to the needy.
• Withdrawn (निकाला हुआ): means taken out of a place or position.
• Example: He has withdrawn all his savings from the bank.
• Dispersed (विखरित): means distributed or spread over a wide area.
• Example: The crowd dispersed after the rally ended.

The correct answer is Option 1.

Key Points

• The word "malpractices" means illegal, improper, or unethical conduct by a person in a position of authority or trust. (अनैतिक आचरण)
• Example: Bribery and fraud are common malpractices that damage public trust.
• In the context of the passage, "malpractices" fits best as it refers to the illegal or unethical activities that some people might have indulged in, which the demonetization move sought to counter.

​Therefore, the correct answer is 'Option 1' i.e. 'malpractices'.

Complete Sentence: All the people but those who indulged in malpractices welcomed the move.

Additional Information

• Indecision (अनिर्णय): inability to decide.
• Example: Her indecision about the job offer caused her to miss the opportunity.
• Announcement (घोषणा): a formal public statement about a fact, event, or intention.
• Example: The company made an announcement about the upcoming merger.
• Amalgamation (विलयन): the action, process, or result of combining or uniting.
• Example: The amalgamation of the two departments improved efficiency.

The correct answer is Option 1.

Key Points

• The word "draconian" means excessively harsh and severe. (क्रूर)
• Example: The new law imposes draconian penalties on those who violate traffic rules.
• In the context of the passage, the opposition labeled the decision as a "draconian law" to imply that it was unfairly harsh and severe.

​Therefore, the correct answer is 'Option 1' i.e. 'draconian'.

Complete Sentence: They called this decision a draconian law and wanted the government to roll it back.

Additional Information

• Comprehensive (व्यापक): Including all or nearly all elements or aspects of something.
• Example: The report provided a comprehensive overview of the project's progress.
• Fragile (नाज़ुक): Easily broken or damaged.
• Example: Be careful with that vase—it's very fragile.
• Like (समान): Having similar traits or qualities.
• Example: People of like interests usually get along well.

The correct answer is Option 4.

Key Points

• The word "revengeful" means eager to exact revenge. (प्रतिशोधी)
• Example: The government carried out revengeful attacks in response to the opposition's criticisms.
• In the context of the passage, "revengeful" fits best as it describes the government's actions against the severe criticisms targeting the demonetization decision.

​Therefore, the correct answer is 'Option 4' i.e. 'revengeful'.

Complete Sentence: Severe criticisms were made to target the decision. The government also carried out revengeful attacks.

Additional Information

• Ineffectual (अप्रभावी): Not producing the desired effect.
• Example: All his efforts proved ineffectual in achieving the desired outcome.
• Case (मामला): An instance of a particular situation.
• Example: This case calls for careful consideration and judgment.
• Example (उदाहरण): A representative case or instance.
• Example: This story serves as an example of true bravery.

The correct answer is: Option 1.

Key Points

• The idiom "Out of the frying pan and into the fire" means moving from a bad situation to an even worse one. (बुरे स्थिति से और भी बुरी स्थिति में जाना)
• Example: By quitting his job without having another one lined up, he jumped out of the frying pan and into the fire.
• Things going from bad to worse refers to a situation that deteriorates further from an already bad state. (बुरी स्थिति से और भी बुरी स्थिति की ओर जाना)
• Example: When the car broke down in the middle of nowhere, we realized things were going from bad to worse.

Therefore, the correct answer is: Option 1 i.e. Things going from bad to worse.

Additional Information

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

• Things getting intense by the hour (घंटे दर घंटे स्थिति गंभीर होना): This means that a situation is becoming more serious or intense as time passes.
• Example: The storm was getting intense by the hour, making it difficult for rescue operations to continue.
• Being with someone through good times as well as bad times (अच्छे और बुरे समय में किसी के साथ होना): This refers to staying loyal to someone regardless of the situation.
• Example: She promised to be with him through good times as well as bad times.
• Being a horrible cook (बहुत खराब खाना बनाना): This means someone is very bad at cooking.
• Example: Despite his best efforts, he remains a horrible cook.

The correct answer is: Option 2.

Key Points

• The word "since" is used to refer to a point in the past until now or a point in time. (तब से)
• Example: She has been studying in this school since 2010.
• "for" is used to indicate a period of time. (के लिए)
• Example: He has been living in this city for five years.
• Hence, in the context of the sentence, "I was in Oman around two months," the correct word to use is "for" to indicate the duration of time spent in Oman.

Therefore, the correct answer is: Option 2.

Additional Information

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

• since (तब से): Used to indicate a point in the past until now or a point in time.
• Example: She has been studying in this school since 2010.
• into (में): Used to indicate movement or action with the result that someone or something becomes enclosed or surrounded by something else.
• Example: He walked into the room and sat down.
• from (से): Used to indicate the point in space at which a journey, motion, or action starts.
• Example: She traveled from New York to London.

The correct answer is: Option 3.

Key Points

• The word "Precarious" means something that is not securely held or in position; dangerously likely to fall or collapse; dependent on chance; uncertain. (अनिश्चित, अस्थिर)
• Example: The ladder was in a precarious position, and I was afraid it might fall.
• "Reliable" refers to something or someone that can be trusted or depended upon; consistently good in quality or performance. (विश्वसनीय)
• Example: John is a reliable employee who always completes his tasks on time.
• Hence, we can infer that the opposite of 'Precarious' is 'Reliable'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Colossal (विशाल): Extremely large or great.
• Example: The statue was of colossal size, towering over the park.
• Luminous (प्रकाशमान): Emitting or reflecting light; glowing; shining.
• Example: The luminous stars lit up the night sky.
• Doubtful (संदिग्ध): Feeling uncertain about something; not known with certainty.
• Example: It is doubtful whether we will reach on time due to the heavy traffic.

The correct answer is: Option 2.

Key Points

• The word "Conglomirate" is incorrectly spelt. The correct spelling is "Conglomerate". (कांग्लोमेरट)
• Example: The company grew into a large conglomerate with diversified business interests.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Vindication (सत्यापन): The action of clearing someone of blame or suspicion.
• Example: The new evidence led to the vindication of the wrongly accused man.
• Concentrate (ध्यान केंद्रित करना ): To focus all one's attention on a particular object or activity.
• Example: She needs to concentrate on her studies to excel in her exams.
• Psychometric (मनोमितीय): Relates to the field of study concerned with the theory and technique of psychological measurement.
• Example: Psychometric tests are often used in recruitment to assess candidates' suitability for a role.

The correct answer is: Option 3.

Key Points

• The word "homilies" means a religious discourse intended for spiritual edification rather than doctrinal instruction; a sermon. (धार्मिक उपदेश)
• Example: The priest delivered homilies that were both inspiring and thought-provoking.
• "Sermons" refer to a talk on a religious or moral subject, usually given during a church service and based on a passage from the Bible. (प्रवचन)
• Example: The pastor's sermons often focus on the importance of compassion and kindness.
• Hence, we can infer that the synonym of 'homilies' is 'sermons'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Suggestions (सुझाव): Ideas or proposals put forward for consideration.
• Example: She provided several suggestions to improve the project.
• Strictures (निषेध): A restriction on a person or activity.
• Example: The strictures on freedom of speech were heavily criticized.
• Alternatives (विकल्प): One of two or more available possibilities.
• Example: We need to find alternatives to fossil fuels to combat climate change.

The correct answer is Option 3.

Key Points

• The word "allowed" is the correct homophone for "permitted," fitting the context of the sentence.
• The word "course" is the correct homophone for "a series of lessons or lectures," fitting the context of the sentence.

Therefore, the correct answer is Option 3.

The correct answer is: Option 1.

Key Points

• The word "Advanced" means something that is highly developed or complex, especially beyond an initial stage. (उन्नत)
• Example: The student is taking advanced courses in mathematics.
• "Progressive" refers to favoring or promoting change or innovation, moving forward in stages. (प्रगतिशील)
• Example: The company is known for its progressive policies on employee welfare.
• Therefore, the correct answer is: Progressive.

Additional Information

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

• Foreign (विदेशी): Relating to or originating from a different country.
• Example: She is learning a foreign language to enhance her career prospects.
• Elementary (मूलभूत): Basic or fundamental, not advanced.
• Example: The course covers elementary principles of physics.
• Discarded (त्यागा हुआ): Thrown away or no longer useful.
• Example: The old furniture was discarded to make room for new items.

The correct answer is Option 1.

Key Points

• The word 'Superior' means better than usual or than somebody/something else; having a more important position.(बेहतर)

• Example -The new model is superior to every other car on the road.

• 'Inferior' means low or lower in social position, importance, quality, etc.(निचला, हीन)

• Example - The quality of this product is inferior to the original.

• Hence, we can infer that the antonym of 'Superior' is 'Inferior'.

Therefore, the correct answer is 'Inferior'.

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

• Small (छोटा) - Not large, number, amount, minor significance or consequence etc.
• Example - He built a small model of the Eiffel Tower.
• Distasteful (अप्रिय, बेस्वाद) - unpleasant or causing offence
• Example - Her behaviour at the party was considered distasteful by many.
• Excellent (उत्कृष्ट) -very good; of high quality; outstanding; superior.
• Example - She gave an excellent performance in the play.

The correct answer is Option 4.

Key Points

• The word 'Immediately' means at once; without delay;without interval of time. (तुरंत, फ़ौरन)
• Example - The ambulance arrived immediately after the accident.

Therefore, the correct answer is 'Immediately'.

Additional Information The other options are incorrect spelling of 'Immediately'. 

• Synonyms of Immediately - Forthwith, Instantly, Straight away.

The correct answer is Option 2.

Key Points

• The word 'Perilous' means full of danger; hazardous; risky.(जोखिम, खतरनाक)
• Example - It was perilous to cross the river in a small boat during the storm.
• 'Dangerous' means likely to cause injury or damage; full of risk or threat.(खतरनाक)
• Example - The chemicals in the lab are dangerous if not handled properly.
• Hence, we can infer that the synonym of 'Perilous' is 'Dangerous'.

Therefore, the correct answer is 'Dangerous'. ​

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

• Ugly (भद्दा) - Unpleasant to look at or listen to; not attractive.
• Example - He thinks a lot of modern architecture is very ugly.
• Adverse (प्रतिकूल) - Making something difficult for somebody.
• Example - A divorce often has an adverse effect on the children.
• Bad (खराब, बुरा) - Of poor quality; of a low standard; not good; unpleasant.
• Example - The food at that restaurant was bad.

The correct answer is: Option 1.

Key Points

• The phrase "the silver lining in the cloud" means finding something positive in an otherwise negative situation. (किसी नकारात्मक स्थिति में कुछ सकारात्मक खोजना)
• Example: Even though he lost his job, he found the silver lining in the cloud by starting his own business.
• Immunity refers to the ability to resist a particular infection or toxin by the action of specific antibodies or sensitized white blood cells. (प्रतिरक्षा)
• Example: Vaccinations help build immunity against various diseases.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Being in the quicksilver (पारा के संपर्क में होना): This phrase is not commonly used as an idiom in English.
• Crossing palms with silver (किसी को रिश्वत देना): This phrase means to bribe someone.
• Example: He crossed the official’s palms with silver to get the work done quickly.
• The silver spoon (चांदी का चम्मच): This phrase is used to indicate someone born into wealth and privilege.
• Example: She was born with a silver spoon in her mouth and never had to worry about money.

The correct answer is Option 3.

Key Points

• The word "add" means to combine or join something to something else, which fits the context of the sentence where more sugar needs to be combined with the juice to make it sweeter.
• "Ad" is short for advertisement and does not fit the context.
• "Aid" means to help or assist, which is not relevant in this context.
• "Aide" refers to a person who helps or assists, which also does not fit the context.

Therefore, the correct answer is Option 3.

Correct Sentence: "Please add more sugar to the juice so that it becomes sweeter."

Additional Information

• Add means to combine or join something to something else, which makes sense in the context of making the juice sweeter.
• Ad is short for advertisement, which is not related to the context of the sentence.
• Aid means help or assistance, which is not relevant here.
• Aide refers to a person who helps or assists, which also does not fit the context.

The correct answer is: Option 1.

Key Points

• The phrase "at 10 a.m. on 13 July in the year 1950" means specifying the exact time, date, and year when an event occurred. (1950 में 13 जुलाई को सुबह 10 बजे)
• Example: He was born at 10 a.m. on 13 July in the year 1950.
• The correct phrase "at 10 a.m. on 13 July in the year 1950" is the most appropriate and correctly ordered way to specify the time, date, and year. (1950 में 13 जुलाई को सुबह 10 बजे)
• Example: She graduated at 10 a.m. on 13 July in the year 1950.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Option 2 (1950 में 13 जुलाई को सुबह 10 बजे): It is correct but not the most standard way of structuring the sentence.
• Example: He got married in the year 1950 on 13 July at 10 a.m.
• Option 3 (1950 में 13 जुलाई को सुबह 10 बजे): It is also correct but less preferred in formal contexts.
• Example: They moved to a new city in the year 1950 at 10 a.m. on 13 July.
• Option 4 (1950 में 13 जुलाई को सुबह 10 बजे): This is the most logically and grammatically incorrect option.
• Example: The event was held on 13 July at 10 a.m. in the year 1950.

The correct answer is Option 3.

Key Points

• The word "concluded" means to bring something to an end, especially more formally. (समाप्त)
• Example: The conference concluded with a keynote speech from the CEO.
• In the context of the given sentence, "concluded" is the most suitable and formal term to describe how the meeting ended with a vote of thanks.

Therefore, the correct answer is Option 3.

Complete Sentence: The meeting concluded with a vote of thanks.

Additional Information

• Option 1: "Stopped" implies an abrupt or unplanned end, which doesn't fit the context of a meeting formally ending with a vote of thanks.
• Option 2: "Finished" is less formal and doesn't convey the sense of a formal ending that "concluded" does.
• Option 4: "Completed" suggests that all parts of the meeting were done, but doesn't specifically capture the formal ending described by "concluded".

The correct answer is Option 2.

Key Points

• The word "strong" is the most appropriate collocation to describe an urge, implying a powerful or intense feeling.
• Example: He felt a strong urge to finish the task quickly.
• In the context of the sentence, "strong" fits perfectly to describe an urge to yawn.

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

Complete Sentence: She suppressed a strong urge to yawn.

Additional Information

• Stout (मोटा): Refers to someone or something strong and thick, but not suitable to describe an urge.
• Tough (कठिन): Generally describes something hard to break or deal with, but it doesn't fit the context of an urge.
• Hard (कठिन): Can mean difficult or requiring effort, but it's not the right collocation for an "urge".

The correct answer is: Option 3.

Key Points

• The phrase "At his wit’s end" means being so worried or confused by a problem that you do not know what to do next. (समझ में न आना)
• Example: She was at her wit's end trying to figure out how to fix the computer.
• "Not knowing what to do" refers to a state of confusion or indecision, similar to being at one's wit's end. (क्या करना है यह न जानते हुए)
• Example: Not knowing what to do, he sat down and started to think deeply about his next steps.
• Hence, we can infer that 'At his wit’s end' can be substituted with 'Not knowing what to do'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Taking all notes (सभी नोट्स लेना): The act of making written notes of important information.
• Example: Taking all notes during the lecture helped him prepare for the exam.
• After thinking (सोचने के बाद): Following a period of thought or consideration.
• Example: After thinking for a while, she decided to accept the job offer.
• Deciding after contemplation (विचार करने के बाद निर्णय लेना): Making a decision after careful thought or consideration.
• Example: Deciding after contemplation, he chose to move to a new city.

Decoding symbols:

Given: P & Q @ R $ T # U

P & Q → P is the wife of Q.

Q @ R → Q is the brother of L.

R $ T → L is the mother of T.

T # U → T is the sister of U.

Thus, Q is U's maternal uncle or mother's brother.

Hence, the correct answer is "Option 4"$

The number of rectangle in the given figure are shown below:

Thus, as marked there are a total of 11 rectangles.

Hence, "Option 1" is the correct answer.

The logic followed here is :-

From the given two different cubes the adjacent sides are as shown below :

As K is common on both the dice, it is clear that R, H, L, and D are adjacent to it, and the remaining i.e. Y will be opposite to it.

Opposite pairs:

R → L

H → D

K → Y

So, the opposite side of "H" will be side "D".

Hence, the correct answer is "Option 1".

The figure which will look like the paper when unfolded is shown below:

Thus, option Figure 4 will look like the paper when unfolded.

Hence, "Option 4" is the correct answer.

The logic followed here is:

Hence, "Option 1" is the correct answer.

Given: 19 July 2000 was Wednesday.

Now,

2000 to 2009 = 9 Years (7 Ordinary Years and 2 Leap Years).

And, In 9 Years = 2 Leap Years and 7 Ordinary Years.

So, 2 Leap Years have 4 odd days,

And, 7 Ordinary Years have 7 odd days.

Total odd days = 4 + 7 = 11.

11 odd days → 11/7 = 1 week and 4 odd days.

then, 19 July 2009 will be Wednesday + 4 = Sunday.

Now, the number of days between 14 June 2009 to 19 July 2009

= 16 (June) + 19 (July) = 35 days.

= 35 days → 35/7 = 5 weeks and 0 odd days.

So, 14 June 2009 will be Sunday - 0 = Sunday.

Hence, the correct answer is "Option 4".

The logic followed here is:

‘78623' is coded as ‘TAKEN’

‘32685’ is coded as ‘TOKEN’

Thus, 5 is the code of O.

Hence, "Option 2" is the correct answer.

The logic followed here is:

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

Now,

For, (81, 53, 70)

⇒ (81 + 53 + 6) ÷ 2

= 140 ÷ 2 = 70.

For, (94, 66, 83)

⇒ (94 + 66 + 6) ÷ 2

= 166 ÷ 2 = 83.

Similarly, for (99, 71, 88)

⇒ (99 + 71 + 6) ÷ 2

= 176 ÷ 2 = 88.

Hence, the correct answer is "Option 4".

The logic followed here is:

Hence, "Option 3" is the correct answer.

The logic followed here is:

1. First box series →

Elements above the diagonal line shift one step upward clockwise.

The elements below the diagonal line shift one step downward clockwise.

The left diagonal corner element interchange positions.

2. Second box series →

Top three elements above the diagonal line and top right corner element shift anticlockwise

Top three elements below the diagonal line and bottom left corner element shift clockwise.

The rest elements shift clockwise.

Thus, the final series is:

Hence, "Option 4" is the correct answer.

The logic followed here is:

‘YOUR’ is coded as ‘5627’

‘CROY’ is coded as ‘2769’

Thus, code for C is 9.

Hence, "Option 1" is the correct answer.

The logic followed here is:

​

Hence, "Option 3" is the correct answer.

The logic followed here is:

FJM : UQN

And,

DPQ : WKJ

So, checking each option one by one:

Option 1) IEB : ACK

Option 2) MNO : ONM

Option 3) LHE : VUT

Option 4) OVC : LEX

Thus, out of all the options, 'OVC : LEX' follows the same logic as given.

Hence, "Option 4" is the correct answer.

Given Equation: 128 A 4 C 16 B 7 D 5 = ?

BODMAS Rule:

Decoding the given information:

| Alphabet | A | B | C | D |
| --- | --- | --- | --- | --- |
| Meaning | ÷ | × | + | - |

 

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

⇒ **128 ÷ 4** + 16 × 7 - 5 = ?

⇒ 32 + **16 × 7** - 5 = ?

⇒ **32 + 112** - 5 = ?

⇒ 144 **- 5** = **139**.

Hence, the correct option is "Option 1".

Given: 2 August 2016 was Tuesday.

Now,

2016 to 2020 = 4 Years (3 Ordinary Year and 1 Leap Year).

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

So, 1 Leap Year has 2 odd days,

And, 3 Ordinary Year has 3 odd days.

Total odd days = 2 + 3 = 5.

5 odd days → 5/7 = 0 weeks and 5 odd days.

then, 2 August 2020 will be Tuesday + 5 = Sunday.

Now, the number of days between 2 August 2020 to 19 October 2020

= 29(August) + 30(September) + 19(October) = 78 days.

= 78 days → 78/7 = 11 weeks and 1 odd day.

So, 19 October 2020 will be Sunday + 1 = Monday.

Hence, the correct answer is "Option 1".

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

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

Hence, the correct answer is "Option 1".

The logic followed here is:

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

Now,

For, 38 : 80

⇒ (38 × 2) + 4 = 76 + 4 = 80.

For, 42 : 88

⇒ (42 × 2) + 4 = 84 + 4 = 88.

Similarly, for 29 ∶ ?

⇒ (29 × 2) + 4 = 58 + 4 = 62.

Hence, the correct answer is "Option 1".

The logic followed here is:

​

Hence, "Option 4" is the correct answer.

The figure which will look like the paper when unfolded is shown below:

Thus, option Figure 2 will look like the paper when unfolded.

Hence, "Option 2" is the correct answer.

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

Conclusions:

I. All gates are mats → Does not follow (As some tables are gates and all mats are tables. So it is possible but not definite.)

II. All tables are plates → Does not follow (As some tables are gates and all plates are gates. So it is possible but not definite.)

∴ Here, Neither conclusion (I) nor (II) follows.

Hence, "Option 2" is the correct answer.

The logic followed here is:

MAZQ is related to GUTK

And,

CPNR is related to WJHL

Similarly,

KOEV is related to

Hence, "Option 1" is the correct answer.

Given : 28 ÷ 90 + 6 - 5 × 17 = ?

According to the question, after  '+' and '÷' are interchanged and '-' and '×' are interchanged:

28 ÷ 90 + 6 - 5 × 17 = ? ⇒ 28 + 90 ÷ 6 × 5 - 17 = ?

⇒ 28 + 90 ÷ 6 × 5 - 17 = ?

⇒ 28 + 15 × 5 - 17 = ?

⇒ 28 + 75 - 17 = ?

⇒ 103 - 17 = ?

⇒ 86 = ?

Hence, "Option 4" is the correct answer.

The logic followed here is :-

From the given two different cubes the adjacent sides are as shown below :

As 5 is common on both the dice, it is clear that 1, 2, 4, and 7 are adjacent to it, and the remaining i.e. 9 will be opposite to it.

Opposite pairs:

1 → 7

2 → 4

5 → 9

So, the opposite side of "9" will be side "5".

Hence, the correct answer is "Option 2".

Given : 10 - 12 ÷ 7 + 84 × 21 = ?

According to the question, after ‘+' and '-' are interchanged and ‘×' and '÷'are interchanged:

10 - 12 ÷ 7 + 84 × 21 = ? ⇒ 10 + 12 × 7 - 84 ÷ 21 = ?

⇒ 10 + 12 × 7 - 84 ÷ 21 = ?

⇒ 10 + 12 × 7 - 4 = ?

⇒ 10 + 84 - 4 = ?

⇒ 94 - 4 = ?

⇒ 90 = ?

Hence, "Option 4" is the correct answer.

The logic followed here is:

Option 1) FHK

Option 2) LNP

Option 3) QSV

Option 4) BDG

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

Hence, "Option 2" is the correct answer.

Given:

Area of the rhombus = 70 m²

Height of the rhombus = 5 m

Formula Used:

Area of a rhombus = Base × Height

Perimeter of a rhombus = 4 × Side

Calculation:

Base = Area / Height

Base = 70 / 5

Base = 14 m

Since all sides of a rhombus are equal, the side is equal to the base.

Side = 14 m

Perimeter = 4 × Side

⇒ Perimeter = 4 × 14

⇒ Perimeter = 56 m

The perimeter of the rhombus is 56 m.

Shortcut Trick

Losing candidate votes = 44%

Winning candidate votes = 100% − 44% = 56%

Difference in percentage = 56% − 44% = 12%

Given 12% of total votes = 1440

Total votes = (1440 ÷ 12) × 100 = 12000

∴ The correct answer is 12000.

Alternate Method

Given:

Votes secured by the losing candidate = 44%

Margin by which the candidate is defeated = 1440 votes

Formula Used:

Total Votes = Margin of defeat ÷ (Winner % − Loser %)

Winning Candidate: 56%

Losing Candidate: 44%

12%

Difference = 1440 votes

Calculations:

⇒ Let the total number of polled votes be x.

⇒ Winning candidate percentage = 100% − 44% = 56%

⇒ Difference in votes = 56% of x − 44% of x

⇒ 12% of x = 1440

⇒ (12 ÷ 100) × x = 1440

⇒ x = 1440 × (100 ÷ 12)

⇒ x = 120 × 100

⇒ x = 12000

∴ The correct answer is 12000.

Additional Information

Valid and Invalid Votes

In some elections, a certain percentage of votes are declared invalid. The winning and losing percentages are then typically calculated on the remaining valid votes. Formula: Total Votes = Valid Votes + Invalid Votes.

Margin of Victory

The margin of victory or defeat is always the difference between the votes received by the winner and the runner-up. Margin = Votes of Winner − Votes of Runner-up.

Successive Percentage Application

If not all enrolled voters cast their vote and some votes are invalid, then the total valid votes = Total Enrolled × % Polled × % Valid.

Given:

Side of each cube = 5 cm.

Three cubes are joined end to end.

Formula Used:

Surface area of a cuboid = 2(lw + lh + wh)

Calculation:

Length of the resulting cuboid = 3 × 5 = 15 cm

Width of the resulting cuboid = 5 cm

Height of the resulting cuboid = 5 cm

Surface area of the cuboid = 2(lw + lh + wh)

⇒ Surface area = 2(15 × 5 + 15 × 5 + 5 × 5)

⇒ Surface area = 2(75 + 75 + 25)

⇒ Surface area = 2(175)

⇒ Surface area = 350 cm²

The surface area of the resulting cuboid is 350 cm².

Given:

The seven-digit number is 4645a52.

The number should be divisible by 72.

Formula Used:

A number is divisible by 72 if it is divisible by both 8 and 9.

Divisibility rule for 8: The last three digits of the number should be divisible by 8.

Divisibility rule for 9: The sum of all digits should be divisible by 9.

Calculation:

First, check for divisibility by 8:

Last three digits are a52.

Possible values of a: 0, 1, 2, 3

Check each value:

For a = 0: 052 ⇒ 52 ÷ 8 = 6.5 (not divisible)

For a = 1: 152 ⇒ 152 ÷ 8 = 19 (divisible)

For a = 2: 252 ⇒ 252 ÷ 8 = 31.5 (not divisible)

For a = 3: 352 ⇒ 352 ÷ 8 = 44 (divisible)

Possible values of a for divisibility by 8: 1, 3

Next, check for divisibility by 9:

Sum of digits: 4 + 6 + 4 + 5 + a + 5 + 2 = 26 + a

Check each possible value:

For a = 1: 26 + 1 = 27 ⇒ 27 ÷ 9 = 3 (divisible)

For a = 3: 26 + 3 = 29 ⇒ 29 ÷ 9 = 3.22 (not divisible)

Therefore, the value of a is 1.

The value of a so that the seven-digit number 4645a52 is divisible by 72 is 1.

Given:

We are to determine which of the following statements about a circle is NOT true.

Formula Used:

Properties of a circle and its geometric relationships.

Calculation:

1. Given any three points in a plane, there is always a circle passing through these points. (True for non-collinear points)
2. The largest chord in a circle has a length twice its radius. (True, as the largest chord is the diameter)
3. A triangle with vertices on a circle and one side as its diameter is a right-angled triangle. (True, by the Thales' theorem)
4. The ratio of the perimeter and radius of a circle is always constant. (True, as the ratio is 2$\pi$)
5. (No option given)

The correct answer is option 1.

Given:

Distance between stations A and B = 420 km

Speed of the train starting from A = 70 kmph

Speed of the train starting from B = 30 kmph

Train from A starts at 11 am

Train from B starts at 12 noon

Formula Used:

Time = Distance / Speed

Calculation:

Let the trains meet after t hours from 12 noon.

Distance covered by the train from A in (t+1) hours (since it starts 1 hour earlier) = 70 × (t + 1)

Distance covered by the train from B in t hours = 30 × t

Since the total distance is 420 km, we have:

70(t + 1) + 30t = 420

⇒ 70t + 70 + 30t = 420

⇒ 100t + 70 = 420

⇒ 100t = 350

⇒ t = 3.5

So, the trains meet 3.5 hours after 12 noon, which is 3:30 pm.

The correct answer is option 3.

Solution:

The total number of valid votes polled = 720.

Angles representing the votes for each student:

• Yasin = 60°
• Paramjit Kaur = 80°
• Siva Raman = 120°
• Vishwanath = 100°

Step 1: Calculate the number of votes for each contestant

Votes for Yasin = (60/360) × 720 = 120 votes

Votes for Paramjit Kaur = (80/360) × 720 = 160 votes

Votes for Siva Raman = (120/360) × 720 = 240 votes

Votes for Vishwanath = (100/360) × 720 = 200 votes

Step 2: Find the winner and the nearest contestant

Winner = Siva Raman (240 votes)

Nearest contestant = Vishwanath (200 votes)

Step 3: Calculate the margin of victory

Margin = 240 - 200 = 40 votes

Final Answer: The winner defeated the nearest contestant by 40 votes.

Given:

Side of the equilateral triangle = 16 cm.

Formula Used:

Perimeter of an equilateral triangle = 3 × side

Median of an equilateral triangle = ($\sqrt{3} / 2$) × side

Calculation:

Perimeter = 3 × 16 = 48 cm

Median = ($\sqrt{3} / 2$) × 16

Median = 8$\sqrt{3}$ cm

Sum of medians = 3 × 8$\sqrt{3}$ = 24$\sqrt{3}$ cm

Ratio of perimeter to the sum of medians:

Ratio = 48 / 24$\sqrt{3}$

Ratio = 2 / $\sqrt{3}$

To rationalize, multiply by $\sqrt{3} / \sqrt{3}$:

Ratio = (2 / $\sqrt{3}$) × ($\sqrt{3} / \sqrt{3}$)

Ratio = 2$\sqrt{3}$ / 3

The ratio of the perimeter to the sum of its medians is 2 : √3.

Given:

Inner diameter of the hemispherical bowl = 4 cm.

Thickness of silver = 0.5 cm.

π = 3.14

Formula Used:

Volume of a hemisphere = $\frac{2}{3}\pi r^3$

Calculation:

Inner radius (r₁) = 4 / 2 = 2 cm

Outer radius (r₂) = 2 + 0.5 = 2.5 cm

Volume of outer hemisphere = $\frac{2}{3}\pi (r_2)^3$

⇒ Volume of outer hemisphere = $\frac{2}{3} \times 3.14 \times (2.5)^3$

⇒ Volume of outer hemisphere = $\frac{2}{3} \times 3.14 \times 15.625$

⇒ Volume of outer hemisphere = $\frac{2}{3} \times 49.0625$

⇒ Volume of outer hemisphere = 32.7083 cm³

Volume of inner hemisphere = $\frac{2}{3}\pi (r_1)^3$

⇒ Volume of inner hemisphere = $\frac{2}{3} \times 3.14 \times (2)^3$

⇒ Volume of inner hemisphere = $\frac{2}{3} \times 3.14 \times 8$

⇒ Volume of inner hemisphere = $\frac{2}{3} \times 25.12$

⇒ Volume of inner hemisphere = 16.7467 cm³

Volume of silver used = Volume of outer hemisphere - Volume of inner hemisphere

⇒ Volume of silver used = 32.7083 cm³ - 16.7467 cm³

⇒ Volume of silver used = 15.96 cm³

The volume of silver used in making the bowl is 15.96 cm³.

Given:

30% voters did not cast their votes.

200 votes were declared invalid.

The winner got 65% of the valid votes.

The winner won by 1200 votes.

Formula Used:

Total votes = Valid votes + Invalid votes + Votes not cast

Calculation:

Let the total number of votes be V.

Votes cast = 70% of V = 0.7V

Valid votes = Votes cast - Invalid votes = 0.7V - 200

The winner got 65% of the valid votes.

Votes received by the winner = 0.65 × (0.7V - 200)

The loser got the remaining valid votes.

Votes received by the loser = (0.7V - 200) - 0.65 × (0.7V - 200)

The winner won by 1200 votes.

⇒ 0.65 × (0.7V - 200) - [(0.7V - 200) - 0.65 × (0.7V - 200)] = 1200

⇒ 0.65 × (0.7V - 200) - 0.35 × (0.7V - 200) = 1200

⇒ 0.3 × (0.7V - 200) = 1200

⇒ 0.21V - 60 = 1200

⇒ 0.21V = 1260

⇒ V = 1260 / 0.21

⇒ V = 6000

The total number of votes is 6000.

Given:

Number when divided by 459 gives a remainder of 19.

Formula Used:

If a number N gives remainder r when divided by d, then $N \equiv r \mod d$.

Calculation:

Let the number be N.

According to the given information:

$N \equiv 19 \mod 459$

We need to find the remainder when N is divided by 17.

Since $N \equiv 19 \mod 459$, we have:

$N = 459k + 19$ for some integer k.

Now, we need to find $N \mod 17$.

We know:

$459 \equiv 0 \mod 17$ because 459 is divisible by 17.

Therefore:

$N \equiv 19 \mod 17$

Calculating the remainder:

$19 \mod 17 = 2$

The remainder when the number is divided by 17 is 2.

Given:

Length of the pole = 6 m

Length of the pole's shadow = 4 m

Length of the tower's shadow = 28 m

Formula Used:

Height of the tower / Length of the tower's shadow = Length of the pole / Length of the pole's shadow

Calculation:

Let the height of the tower be h meters.

$\frac{h}{28} = \frac{6}{4}$

⇒ h × 4 = 6 × 28

⇒ 4h = 168

⇒ h = 168 / 4

⇒ h = 42 meters

The height of the tower is 42 meters.

Solution:

We are given the expression:

$cos^{-1}\left(\frac{7}{25}\right) - \cos^{-1}\left(\frac{15}{17}\right)$

Step 1: Use the identity for cosine in terms of sine inverse:

$\cos^{-1}\left(\frac{7}{25}\right) = \sin^{-1}\left(\frac{24}{25}\right)$

$\cos^{-1}\left(\frac{15}{17}\right) = \sin^{-1}\left(\frac{8}{17}\right)$

The expression becomes:

$\sin^{-1}\left(\frac{24}{25}\right) - \sin^{-1}\left(\frac{8}{17}\right)$

Step 2: Apply the formula for the difference of inverse sine functions:

We use the identity:

$\sin^{-1}(x) - \sin^{-1}(y) = \sin^{-1}\left( x \sqrt{1 - y^2} - y \sqrt{1 - x^2} \right)$

$Where\ x = \frac{24}{25} and\ y = \frac{8}{17}.$

Step 3: Calculate each part:

$\sqrt{1 - \left(\frac{8}{17}\right)^2} = \frac{15}{17}$

$\sqrt{1 - \left(\frac{24}{25}\right)^2} = \frac{7}{25}$

Step 4: Substitute into the formula:

$\sin^{-1}\left( \frac{24}{25} \times \frac{15}{17} - \frac{8}{17} \times \frac{7}{25} \right)$

First, calculate the terms:

$\frac{24}{25} \times \frac{15}{17} = \frac{360}{425}$

$\frac{8}{17} \times \frac{7}{25} = \frac{56}{425}$

Now subtract:

$\frac{360}{425} - \frac{56}{425} = \frac{304}{425}$

Step 5: Final answer:

The expression simplifies to:

$\sin^{-1}\left(\frac{304}{425}\right)$

Final Answer: The value of the given expression is $\sin^{-1}\left(\frac{304}{425}\right)$.

Solution:

We are given the following data for Section A:

• Students failed in both exams = 39
• Students failed in half-yearly but passed in annual exams = 16
• Students passed in half-yearly but failed in annual exams = 10
• Students passed in both exams = 65

Step 1: Calculate the total number of students in Section A

Total students in Section A = 39 + 16 + 10 + 65 = 130

Step 2: Calculate the number of students who passed in at least one exam

Students who passed in at least one exam = 10 + 16 + 65 = 91

Step 3: Calculate the pass percentage

Pass percentage = (91 / 130) × 100 ≈ 70%

Final Answer: The pass percentage of Section A in at least one of the two examinations is 70%.

Given:

Shyam's income is 20% less than Ram's.

Formula Used:

Percentage increase = DifferenceOriginal Value×100

Calculation:

Let Ram's income be R.

Shyam's income = R - 0.2R = 0.8R

Difference between Ram's and Shyam's income = R - 0.8R = 0.2R

Percentage increase = 0.2R / 0.8R × 1000.2R0.8R×100

⇒ 1 / 4 × 1000.20.8×100

⇒ 0.25 × 100

⇒ 25%

Ram's income is 25% more than Shyam's.

Given:

AB = 22 cm

PB = 14 cm

CP = 8 cm

Formula Used:

Power of a Point Theorem: PA × PB = PC × PD

Calculation:

Let PA = x cm

Since AB = 22 cm, PA = AB - PB = 22 - 14 = 8 cm

Using the Power of a Point Theorem:

PA × PB = PC × PD

⇒ 8 × 14 = 8 × PD

⇒ 112 = 8 × PD

⇒ PD = 112 / 8

⇒ PD = 14 cm

The value of PD is 14 cm.

Given:

Total sum lent = Rs. 5,000

Interest rate for first person = 16%

Interest rate for second person = 24%

Total simple interest after one year = Rs. 960

Formula Used:

Simple Interest = Principal × Rate × Time / 100

Calculation:

Let the sum lent at the higher rate (24%) be Rs. x.

Then, the sum lent at the lower rate (16%) = Rs. (5000 - x).

Interest from the higher rate = x × 24 × 1 / 100 = 0.24x

Interest from the lower rate = (5000 - x) × 16 × 1 / 100 = 0.16(5000 - x)

Total interest = 0.24x + 0.16(5000 - x) = 960

⇒ 0.24x + 0.16 × 5000 - 0.16x = 960

⇒ 0.24x + 800 - 0.16x = 960

⇒ 0.08x + 800 = 960

⇒ 0.08x = 960 - 800

⇒ 0.08x = 160

⇒ x = 160 / 0.08

⇒ x = 2000

The sum lent at the higher rate is Rs. 2,000.

Solution:

From the table:

• Number of Banyan trees axed in 2016 = 20,000
• Number of Banyan trees axed in 2020 = 38,000

Step 1: Use the percentage increase formula:

$\text{Percentage Increase} = \frac{38,000 - 20,000}{20,000} \times 100$

$\text{Percentage Increase} = \frac{18,000}{20,000} \times 100 = 90\%$

Final Answer: The percentage increase in the number of Banyan trees axed in 2020 compared to 2016 is 90%.

Given:

In ∆DEW, AB∥EW.

AD = 4 cm, DE = 12 cm, DW = 24 cm.

Formula Used:

Using the Basic Proportionality Theorem (BPT):

If a line is drawn parallel to one side of a triangle to intersect the other two sides, then it divides those sides in the same ratio.

Calculation:

Using BPT, we have:

$\frac{AD}{DE} = \frac{DB}{DW}$

Substitute the given values:

$\frac{4}{12} = \frac{DB}{24}$

Simplify the ratio on the left side:

$\frac{1}{3} = \frac{DB}{24}$

Cross-multiply to solve for DB:

⇒ DB × 3 = 24

⇒ DB = 24 / 3

⇒ DB = 8 cm

The length of DB is 8 cm.

Given:

The sum of the digits of a two-digit number is 9.

The number obtained by interchanging its digits exceeds the given number by 45.

Formula Used:

Let the two-digit number be 10a + b, where a and b are the digits.

Sum of the digits: a + b = 9

Number after interchanging the digits: 10b + a

Given condition: (10b + a) - (10a + b) = 45

Calculation:

Let the original number be 10a + b.

From the given conditions:

a + b = 9           ...(1)

(10b + a) - (10a + b) = 45

⇒ 10b + a - 10a - b = 45

⇒ 9b - 9a = 45

⇒ b - a = 5           ...(2)

Adding equations (1) and (2):

⇒ a + b + b - a = 9 + 5

⇒ 2b = 14

⇒ b = 7

Substitute b = 7 in equation (1):

⇒ a + 7 = 9

⇒ a = 2

Therefore, the original number is 10a + b = 10 × 2 + 7 = 27.

The original number is 27.

Given:

Total sum of the two parts = 25

6 times the larger part + 4 times the smaller part = 130

Formula Used:

Let the larger part be x and the smaller part be 25 - x.

6x + 4(25 - x) = 130

Calculation:

Let's solve the equation:

6x + 4(25 - x) = 130

⇒ 6x + 100 - 4x = 130

⇒ 2x + 100 = 130

⇒ 2x = 130 - 100

⇒ 2x = 30

⇒ x = 30 / 2

⇒ x = 15

The larger part is 15.

Given:

Profit percentage of Company B in 2013 = 44%

Profit percentage of Company B in 2014 = 50%

Formula used:

Percentage Increase = $\left(\frac{\text{New Value - Old Value}}{\text{Old Value}}\right) \times 100$

Calculation:

⇒ Percentage Increase = $\left(\frac{50 - 44}{44}\right) \times 100$

⇒ Percentage Increase = $\left(\frac{6}{44}\right) \times 100$

⇒ Percentage Increase = 13.63%

∴ The percentage increase in profit percentage of Company B in 2014 from the previous year is 13.63%.

Given:

Mira can complete a piece of work in 20 days.

Nina can complete a piece of work in 30 days.

Sima can complete a piece of work in 40 days.

Mira and Sima worked together for 4 days, then Mira was replaced by Nina.

Formula Used:

Work done by a person in 1 day = 1 / (Total days to complete the work)

Total work done = Sum of individual works

Calculation:

Work done by Mira in 1 day = 1/20

Work done by Sima in 1 day = 1/40

Work done by Mira and Sima together in 1 day = 1/20 + 1/40

⇒ Work done by Mira and Sima together in 1 day = 2/40 + 1/40

⇒ Work done by Mira and Sima together in 1 day = 3/40

Work done by Mira and Sima in 4 days = 4 × 3/40

⇒ Work done by Mira and Sima in 4 days = 12/40

⇒ Work done by Mira and Sima in 4 days = 3/10

Remaining work = 1 - 3/10

⇒ Remaining work = 10/10 - 3/10

⇒ Remaining work = 7/10

Work done by Nina in 1 day = 1/30

Now, Sima and Nina work together.

⇒ Work done by Sima and Nina together in one day = 1/40 + 1/30

⇒ Work done by Sima and Nina together in one day = 3/120+ 4/120

⇒ Work done by Sima and Nina together in one day = 7/120

Number of days required to complete 7/10 work = 7/10 × 120/7 = 12 days.

Total number of days to complete the work = 4 (Mira and Sima) + 12 (Nina and Sima)

⇒ Total number of days = 16

The work was completed in 16 days.

Alternate Method 

LCM (20,30,40) = 120 = Total work.

Mira does = 120/20 = 6 units of work in one day.

Nina does = 120/30 = 4 units of work in one day.

Sima does = 120/40 = 3 units of work in one day.

Now, in 4 days Mira and Sima does = 6× 4 + 3× 4 = 36 units of work. 

Remaining work = 120 -36 = 84 units.

After replacement of Mira, Sima and Nina does = 4 + 3 = 7 units in one day.

So, they complete work in 84 / 7 = 12 days.

∴ The work gets completed in 4 + 12 = 16 days.

Given:

A shopkeeper sells his goods using weights 27% less than true weights and claims to sell his goods at the cost price.

Formula Used:

Gain % = (Gain / Cost Price) × 100

Calculation:

Let the true weight be 100 units.

Since the shopkeeper uses weights 27% less than the true weight:

Used weight = 100 - 27 = 73 units

He sells 73 units as 100 units.

Let the cost price of 1 unit be ₹1.

So, the cost price of 73 units = ₹73

Selling price of 73 units (since he claims to sell at cost price) = ₹100

Gain = Selling Price - Cost Price

Gain = ₹100 - ₹73 = ₹27

Gain % = (Gain / Cost Price) × 100

Gain % = (27 / 73) × 100

⇒ Gain % = (27)/(73) × 100

⇒ Gain % ≈ 36.9863

⇒ Gain % ≈ 37.0 (rounded off to 1 decimal place)

The gain per cent is 37.0%.

Given:

Volume of pomegranate juice = 2 litres

Sugar concentration in pomegranate juice = 10%

Volume of orange juice = 3 litres

Sugar concentration in orange juice = 30%

Formula Used:

Percentage of sugar solution in the mixture = (Total amount of sugar in the mixture / Total volume of the mixture) × 100

Calculation:

Amount of sugar in pomegranate juice = Volume of pomegranate juice × Sugar concentration in pomegranate juice

⇒ Amount of sugar in pomegranate juice = 2 × 0.10 = 0.2 litres

Amount of sugar in orange juice = Volume of orange juice × Sugar concentration in orange juice

⇒ Amount of sugar in orange juice = 3 × 0.30 = 0.9 litres

Total amount of sugar in the mixture = Amount of sugar in pomegranate juice + Amount of sugar in orange juice

⇒ Total amount of sugar in the mixture = 0.2 + 0.9 = 1.1 litres

Total volume of the mixture = Volume of pomegranate juice + Volume of orange juice

⇒ Total volume of the mixture = 2 + 3 = 5 litres

Percentage of sugar solution in the mixture = (Total amount of sugar in the mixture / Total volume of the mixture) × 100

⇒ Percentage of sugar solution in the mixture = (1.1 / 5) × 100

⇒ Percentage of sugar solution in the mixture = 0.22 × 100

⇒ Percentage of sugar solution in the mixture = 22%

The correct answer is option 2.

The correct answer is 1951, New Delhi

Key Points

• The first Asian Games were held in New Delhi, India in 1951.
• This historic event marked the beginning of a significant multi-sport event for athletes from across the Asian continent.
• The inaugural Asian Games showcased a variety of sports and brought together athletes from different nations.
• It was a milestone in the history of Asian sports and laid the foundation for future Asian Games.

Additional Information

• The Asian Games were established to promote sportsmanship, friendship, and understanding among Asian nations.
• They are the second-largest multi-sport event in the world after the Olympic Games.
• The first Asian Games were held in New Delhi, India, in 1951.
• The Asian Games are held every four years, showcasing a wide range of sports disciplines.
• The Asian Games not only promote athletic competition but also serve as a platform for cultural exchange and understanding between different Asian nations.

The correct answer is the Ministry of Electronics and Information Technology

Key Points

• The UIDAI (Unique Identification Authority of India) is under the jurisdiction of the Ministry of Electronics and Information Technology.
• The UIDAI is responsible for issuing Aadhaar cards, which are unique identification numbers assigned to Indian residents.
• It is a crucial government body that plays a significant role in various government services and programs.

Additional Information 

• Ministry of Finance:
• ​ This ministry primarily handles government finances, taxation, and economic policies.
• While UIDAI's operations involve financial transactions, its core function is related to digital identity, which is more closely aligned with technology and information technology.
• Ministry of Education:
• This ministry is responsible for education policies and programs. UIDAI, though used in education-related activities, is not directly under its purview.
• Ministry of Home Affairs:
• This ministry is responsible for internal security, law and order, and border security. While UIDAI can be used for identity verification in various security-related applications, its core function is not directly related to home affairs.

The correct answer is Narmada and Tapi

Key Points

• Narmada and Tapi
• These are the two major west-flowing rivers in Peninsular India.
• The Narmada originates in the Maikala range near Amarkantak and flows through the rift valley between the Satpura and Vindhyan ranges.
• It meets the Arabian Sea south of Bharuch, forming a 27 km long estuary.
• The Narmada is also known as the Rewa River.
• Other west-flowing rivers in India include Sabarmati, Mahi, Bharathapuzha, and Periyar

Additional Information

• Mahanadi
• ​​This river originates in Chhattisgarh and flows through Odisha, as well as parts of Madhya Pradesh and Maharashtra.
• It's also known as the Hirakund Dam.
• Godavari
• This river originates in Trimbakeshwar, Maharashtra,
• It flows through Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, and Odisha.
• It's the second-longest river in India
• It also known as Dakshin Ganga or Vridha Ganga.
• Krishna
• This river originates near Mahabaleshwar in the Western Ghats and
• It flows through Maharashtra, Karnataka, Telangana, and Andhra Pradesh.
• It's the third-longest river in India.
• Kaveri
• This river originates in Talakaveri, Karnataka, and flows through Karnataka and Tamil Nadu.
• It's the third-largest river in Southern India
• It considered one of the seven holy rivers of India.

The correct answer is = 

Key Points

• In Microsoft Excel, all formulas begin with an equal sign (=).
• This symbol tells Excel that the following characters constitute a formula, and it should perform the calculation or operation specified.

Additional Information

• ! (Exclamation mark): Often used in Excel formulas for absolute cell references.
• For example, $A$1 indicates an absolute reference to cell A1, meaning that the reference won't change when the formula is copied to other cells.
• • (Minus sign): This is primarily used for subtraction operations within formulas.
• For instance, =A1-B1 subtracts the value in cell B1 from the value in cell A1.
• == (Double equal sign): This is not used to start formulas. It's a comparison operator used in logical expressions to check if two values are equal. For instance,
• =IF(A1=B1,"Equal","Not Equal") checks if the values in cells A1 and B1 are equal and returns "Equal" or "Not Equal" accordingly.