SSC CHSL Tier-1 2024: Official Paper (Held On: 08 Jul, 2024 Shift 2) (Previous Year Paper)

The correct answer is Option 4.

 

Key Points

• The adverb "daily" is used to indicate something that happens every day.
• In the context of the sentence, "He comes here _________," the most appropriate adverb to use is "daily" because it makes sense that someone comes to a place every day.
• The other options do not fit the context as well as "daily."
• Therefore, the correct answer is Option 4.

Correct Sentence: "He comes here daily."

 

Additional Information

• Option 1: "lately" – This means recently and does not fit the context of the sentence.
• Option 2: "quickly" – This describes the speed of the action, not the frequency, so it is not appropriate here.
• Option 3: "formerly" – This means in the past and does not fit the context of the sentence.
• Option 5: (blank) – This is not a valid option as it provides no adverb to complete the sentence.

The correct answer is Option 2.

 

Key Points

• The phrase "the competition went on smooth" is incorrect.
• The word "smooth" should be replaced with the adverb "smoothly" to describe how the competition went on.
• Adverbs are used to modify verbs, adjectives, or other adverbs, and in this context, "smoothly" correctly modifies the verb "went on".
• Thus, the error is located in Option 2 of the sentence.
• Therefore, the correct answer is Option 2.

Correct Sentence: "That day we reached late for the competition and even though the competition went on smoothly, I felt bad about Shivani losing it."

 

Additional Information

• Option 1: "I felt bad" – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "losing it" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "we reached late" – 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 verb tense.
• The phrase "I will revised" is grammatically incorrect because "revised" is the past form and cannot be used with "will."
• The correct future perfect tense is "I will have revised."
• This indicates that the action of revising will be completed before the final examination.
• Therefore, the correct answer is Option 1.

Correct Sentence: "I will have revised my course at least three times before my final examination."

 

Additional Information

• Option 2: "I must revised" is incorrect; "must" should be followed by the base form of the verb "revise."
• Option 3: "I would revised" is incorrect; "would" should be followed by the base form of the verb "revise."
• Option 4: "I will be revised" is incorrect; "will be" should be followed by a present participle (revising) not past participle (revised).

The correct answer is Option 2.

 

Key Points

• The primary issue in the sentence is the use of the present continuous tense "are not running" instead of the simple present tense "do not run."
• The simple present tense is more appropriate for habitual actions or general truths.
• The correct phrase should be "do not run," ensuring grammatical correctness and clarity.
• Thus, the error is located in Option 2 of the sentence.
• Therefore, the correct answer is Option 2.

Correct Sentence: "During winters, most of the trains do not run on time in North India."

 

Additional Information

• Option 1: "on time in North India," – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "most of the trains" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "During winters," – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is Option 1.

 

Key Points

• The word "complex" means consisting of many different and connected parts. (जटिल)
• In the context of describing society, "complex" conveys that modern society has many diverse and interconnected aspects.
• The other options: "fine," "systematic," and "easy" do not capture the intricacy and interconnectedness described in the passage.

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

Complete Sentence: Hierarchy is key in ensuring normal functioning of our increasingly complex society.

 

Additional Information

• Fine (उत्तम): means very high quality or acceptable.
• Systematic (सुनियोजित): means structured or methodical.
• Easy (आसान): means not difficult or requiring little effort.

The correct answer is Option 4.

 

Key Points

• The word "diversity" describes a range of different things, such as various fields of knowledge and professional domains.
• In this context, it highlights the wide array of industries, specialisations, and domains seen in the US.
• The other options: "worry," "uniformity," and "difficulty" do not fit the context as appropriately.

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

Complete Sentence: In the US, there is an enormous variety of industries, professional branches, specialisations, as well as a great diversity of other domains of human activity or interests.

Additional Information

• Worry (चिंता): means to feel or cause to feel anxious or troubled about actual or potential problems.
• Uniformity (एकरूपता): means the quality or state of being uniform; overall sameness.
• Difficulty (कठिनाई): means the state or condition of being difficult; a thing that is hard to accomplish, deal with, or understand.

The correct answer is Option 4.

 

Key Points

• The word "especially" is used to single out one person, thing, or situation over all others. (विशेष रूप से)
• The passage talks about leadership evolving as a necessity in any realm of human activity, particularly when more people are involved, which makes "especially" the most appropriate choice.
• The other options: "tactfully," "easily," and "only" do not correctly fit the context as appropriately.

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

Complete Sentence: In fact, leadership evolves as a necessity almost in any realm of human activity/ thinking, especially where more people are involved.

Additional Information

• Tactfully (कुशलता से): means with tact or skill in dealing with people.
• Easily (आसानी से): means without difficulty or effort.
• Only (सिर्फ): means no one or nothing more besides.

The correct answer is Option 4.

 

Key Points

• The correct word should fit the context of understanding why it is important. Hence, "accepting" fits well with the context of understanding why even academic institutions give leadership assignments.
• The other options: "rejecting," "polishing," and "focusing" do not appropriately fit the context.

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

Complete Sentence: Thus, it isn’t hard accepting why even in academic institutions throughout the US and worldwide, students are given leadership essay assignments.

Additional Information

• Rejecting: means dismissing as inadequate, unacceptable, or faulty.
• Polishing: means making smooth and shiny by rubbing.
• Focusing: means concentrating on a particular activity or focus.

The correct answer is Option 1.

 

Key Points

• The word "familiar" means well known from long or close association. (परिचित)
• Most students will take on leadership roles at some point, making it necessary for them to be "familiar" with typical challenges, solutions, or skills required.
• The other options: "unequal," "strange," and "unusual" do not fit the context appropriately.

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

Complete Sentence: Most students will take on leadership roles with various degrees of responsibility and impact in their lives, hence, becoming familiar with typical challenges, solutions, or skills required is essential.

Additional Information

• Unequal (असमान): means not equal in quantity, size, or value.
• Strange (अजीब): means unusual or surprising; difficult to understand or explain.
• Unusual (असामान्य): means not habitually or commonly occurring or done.

The correct answer is: Option 3.

Key Points

• The idiom "Hit the sack" means going to sleep. (सोने जाना)
• Example: After a long day at work, I am ready to hit the sack..

Therefore, the correct answer is: Option 3 i.e. Hit the sack.

Additional Information

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

• Break new grounds (नया रास्ता बनाना): Doing something innovative or pioneering.
• Example: The researchers are breaking new grounds in cancer treatment.
• Keep an ear to the ground (सतर्क रहना): Stay informed or be aware of recent developments.
• Example: It's important to keep an ear to the ground in the tech industry.
• Run around in circles (बेकार में समय गवाना): Be very active but not achieve anything.
• Example: Without a clear plan, we’ll just run around in circles.

The correct answer is: Option 1.

Key Points

• The word "Agressive" is incorrectly spelt. The correct spelling is "Aggressive". (आक्रामक)
• Example: His aggressive behavior was not tolerated in the meeting.
• "Aggressive" means ready or likely to attack or confront; characterized by or resulting from aggression. (आक्रामक)
• Example: The company is taking an aggressive approach to expand its market share.

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

Additional Information

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

• Apparent (स्पष्ट): Clearly visible or understood; obvious.
• Example: It was apparent that she was not happy with the decision.
• Skewed (तिरछा): Not straight, crooked, or slanted.
• Example: The statistics are skewed because they only include data from a small sample.
• Creator (निर्माता): A person or thing that brings something into existence.
• Example: She is known as the creator of several popular television shows.

The correct answer is Option 3.

 

Key Points

• The primary issue in the sentence is the incorrect use of the verb "Are" at the beginning of the sentence.
• "Are" is a plural verb and does not agree with "today," which is singular.
• The correct verb should be "Is" to match the singular subject "today."
• Thus, the error is located in part 3 of the sentence.
• Therefore, the correct answer is 3.

Correct Sentence: "Is today a working day or a holiday?"

 

Additional Information

• 1: "a working day" – This part of the sentence is grammatically correct and does not require any changes.
• 2: "or a" – This part of the sentence is grammatically correct and does not require any changes.
• 4: "holiday" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is "Option 3".

Key Points

• The word "despondency" means low spirits from loss of hope or courage; dejection.(निराशा)
• Example- The soldiers were prone to anorexia, despondency, and bouts of weeping.
• "Cheerfulness" means a bright, pleasant quality that makes you feel positive and happy.(उल्लास)
• Example- When Macbeth arrives, she urges him to feign cheerfulness at the feast.
• Hence, we can infer that the antonym of despondency is cheerfulness.

Therefore, the correct answer is cheerfulness.

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

• Dejection(उदासी): a sad and depressed state; low spirits.
• Example- He wandered around in a state of utter dejection.
• ​.**Satisfaction(**संतुष्टि):  fulfilment of one's wishes, expectations, or needs, or the pleasure derived from this.
• Example-  she felt she had done the work to her own satisfaction.
• Hopelessness(निराशा): the feeling or state of being without hope.
• Example- I did not feel angry, it was more a feeling of hopelessness..

The correct answer is "Option 2".

Key Points

• The phrase "sell like hot cakes" means to sell out quickly and in large quantities.(अच्छी संख्या में बेचें)
• ​Example- This year's festival tickets are selling like hot cakes.

The correct answer is Option 2.

 

Key Points

• The primary issue in the sentence is the omission of the article "a" before the term "promotion."
• Singular countable nouns typically require an article ("a" or "an").
• The correct phrase should be "due for a promotion," ensuring grammatical correctness and clarity.
• Thus, the error is located in part B of the sentence.
• Therefore, the correct answer is Option 2.

Correct Sentence: "They appointed him as the manager, as he was due for a promotion."

 

Additional Information

• A: "They appointed him as the manager," – This part of the sentence is grammatically correct and does not require any changes.
• C: "as he was due for" – This part of the sentence is grammatically correct and does not require any changes.
• D: "promotion." – This part of the sentence is grammatically correct and does not require any changes.`

The correct answer is  'Option 3'.

Key Points

• The word 'grumpy' means bad-tempered and irritable; cranky.(चिड़चिड़ा)
• Example- He was in a grumpy mood today.
• "Amiable" means having or displaying a friendly and pleasant manner; friendly.(सुशील)
• Example- Balard had a kind and amiable personality, to which students responded warmly.
• Hence, we can infer that the antonym of grumpy is amiable.

Therefore, the correct answer is Amiable.

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

• Possible(संभव): Able to be done or achieved.
• ​Example**- None of this would have been** possible without your help.​​
• Edible(खाद्य): Fit or suitable to be eaten..
• Example- The food was barely edible.
• Tenable(लायक़): Able to be maintained or defended against attack or objection.
• Example- It was obvious that the deal was no longer tenable.

The correct answer is Option 2.

Key Points

• 'Apropriate' is a wrong spelling of the word 'Appropriate'.
• The word 'Appropriate' means suitable or right for a particular situation, person, use, etc.(उपयुक्त, उचित)
• Example - This movie is perfectly appropriate to people of all ages.

Therefore, the correct answer is 'Appropriate'.

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

• Unintended (अनभिप्रेत, अनैच्छिक) - Not planned as a purpose or goal; not deliberate or intended.

• Example - The unintended side effects of the medication caused her to feel dizzy.

• Amalgamate (मिलाना) - To join together to form a single organization, group, etc.

• Example - The board of directors agreed to amalgamate the two companies.

• Timorous (डरपोक) - Showing or suffering from nervousness or a lack of confidence.

• Example - His timorous nature made it difficult for him to speak in public.

The correct answer is Option 1.

Key Points

• The word 'Morose' means bad-tempered, and not saying much to other people.(उदास)
• Example - The rainy weather made her feel morose and depressed.
• 'Jovial' means cheerful, happy, or full of good humor.(उल्लासपूर्ण)
• Example - The jovial host made everyone feel welcome at the party.
• Hence, we can infer that the opposite of 'Morose' is 'Jovial'.

Therefore, the correct answer is 'Jovial'.

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

• Hurried (जल्दी में हुआ) - Done (too) quickly; moving rapidly or performed quickly.
• Example - They are inclined to work at their own pace and will not be hurried.
• Dramatic (नाटकीय) - Noticeable or sudden and often surprising.
• Example - There has been a dramatic change in his attitude.
• Practical (व्यावहारिक) - Concerned with actually doing something rather than with ideas or thought.
• Example - We need a practical scheme that will not be too expensive.

The correct answer is Option 4.

 

Key Points

• The verb "paid" is commonly used with the noun "attention" to indicate the act of noticing or considering something.
• The other options do not fit grammatically or contextually with the noun "attention".
• Therefore, "He hasn’t paid any attention to my miserable state" is the correct and grammatically appropriate sentence.

 

Additional Information

• Option 1: "gave" – The verb "gave" does not correctly combine with "attention" in this context.
• Option 2: "had" – The verb "had" is not appropriate in this context.
• Option 3: "made" – The verb "made" does not correctly fit with "attention".

The correct answer is Option 2.

Key Points

• The word 'Humble' means not thinking that you are better or more important than other people; not proud.(विनम्र)
• Example - He came from a humble, unprivileged background.
• 'Proud' means feeling that you are better and more important than other people.(गर्व)
• Example - She was too proud to ask for help.
• Hence, we can infer that the opposite of 'Humble' is 'Proud'.

Therefore, the correct answer is 'Proud'.

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

• Corrupt (भ्रष्ट) - Doing or involving illegal or dishonest things in exchange for money.
• Example - The tax inspectors are thoroughly corrupt.
• Capitalist (पूंजीवादी) - Someone who hopes to profit by investing money or financing business ventures.
• Example - Marxism teaches that modern capitalist society is a society of antagonistic classes.
• Sturdy (तगड़ा, मज़बूत) - Strong and healthy; that will not break easily.
• Example - This bike is sturdy enough to cope with bumpy tracks.

The correct answer is: Option 2.

Key Points

• The word "calm" means free from excitement or passion; tranquil. (शांत)
• Example: He remained calm even during the crisis.
• "Placid" refers to something that is not easily upset or excited; calm and peaceful. (शांत)
• Example: The placid lake was a perfect place for meditation.

Therefore, the correct answer is: Option 2..

Additional Information

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

• Volatile (अस्थिर): Liable to change rapidly and unpredictably, especially for the worse.
• Example: The stock market is highly volatile.
• Furtive (गुप्त): Attempting to avoid notice or attention, typically because of guilt or a belief that discovery would lead to trouble.
• Example: She cast a furtive glance at the man.
• Scattered (बिखरा हुआ): Occurring or found at intervals or various locations rather than all together.
• Example: The books were scattered all over the floor.

The correct answer is: Option 1.

Key Points

• The word "jealous" means feeling or showing envy of someone or their achievements and advantages. (ईर्ष्यालु)
• Example: She was jealous of her sister's success.
• "Envious" refers to feeling or showing envy, similar to jealousy. (ईर्ष्यालु)
• Example: He was envious of his friend's new car.

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

Additional Information

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

• Suspicious (संदेहपूर्ण): Having or showing a cautious distrust of someone or something.
• Example: She was suspicious of his intentions.
• Greedy (लालची): Having an excessive desire for something, especially wealth or food.
• Example: His greedy nature led him to accumulate vast wealth unethically.
• Spiteful (द्वेषपूर्ण): Showing or caused by malice.
• Example: Her spiteful comments were meant to hurt her opponent's feelings.

The correct answer is Option 3.

 

Key Points

• The preposition "in" is often used to indicate location or time within something, but in the context of a watch, "by" is the correct preposition to use.
• "By" is used to indicate the means or instrument used to measure or indicate something, in this case, time.
• The correct phrase is "What is the time by your watch?" which is commonly used to ask for the time indicated on someone's watch.
• Therefore, the correct answer is Option 3.

Correct Sentence: "What is the time by your watch?"

 

Additional Information

• on – This preposition is used to indicate a surface or a day/date, and is incorrect in this context.
• with – This preposition implies possession or accompaniment and is incorrect in this context.
• into – This preposition indicates movement towards the inside of something and is incorrect in this context.

The correct answer is Option 1.

 

Key Points

• The primary issue in the sentence is the tense used in the underlined segment.
• The correct tense should be past tense to match the context of the sentence.
• The correct phrase should be "developed", ensuring grammatical correctness and clarity.
• Therefore, the correct answer is Option 1.

Correct Sentence: "She developed a remarkable resistance to cold and altitude.

The correct answer is: Option 2.

Key Points

• The word "gaudy" means extravagantly bright or showy, typically so as to be tasteless. (भड़कीला)
• Example: She wore a gaudy dress that caught everyone's attention but not in a good way.
• "Sober" refers to something that is serious, sensible, and solemn, often characterized by subdued or muted tones. (संजीदा)
• Example: He opted for a sober suit for the formal event, which looked very elegant.
• Hence, we can infer that the opposite of 'gaudy' is 'sober'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Cheap (सस्ता): Low in cost, especially in relation to similar items or services.
• Example: The store offers cheap but durable clothing.
• Scanty (अल्प): Small or insufficient in quantity or amount.
• Example: The scanty rainfall this year has worried the farmers.
• Ornate (सजावटी): Made in an intricate shape or decorated with complex patterns.
• Example: The ornate design of the palace was breathtaking.

The image embedded in given figure is as shown below:

Hence, "Option 4" is the correct answer.

The logic follows here is:

Option 1: MNOL 

Option 2: AZCX 

Option 3: FUHS 

Option 4: YCAZ

So, YCAZ is odd.

Hence, the correct answer is "Option 4".

Given: 11 November 2009 was Wednesday.

Now,

2009 to 2013 = 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.

then, 11 November 2013 will be Wednesday + 5 = Monday.

Now, the number of days between 11 November 2013 to 17 November 2013

= 6 days.

So, 17 November 2013 will be Monday + 6 = Sunday.

Hence, the correct answer is "Option 1".

The logic followed here is:

• One needle face is same and second clock needle is moving in 90º clockwise direction.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: Opposites.

Here,

Demolish : Repair → Demolish and Repair are opposites.

Similarly,

Condemn : Approve → Condemn and Approve are opposites.

Bind : Release → Bind and Release are opposites.

Adamant : Flexible → Adamant and Flexible are opposites.

However,

Consequence : Outcome → Consequence and Outcome are not opposites; they are synonyms.

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: (2^nd number)³ = 1^st number.

Now,

For, 27 : 3

⇒ 3³ = 27.

For, 343 : 7

⇒ 7³ = 343.

Similarly, for 1331 ∶ ?

⇒ 11³ = 1331.

Hence, the correct answer is "Option 3".

Given Equation: 91 B 2 D 22 A 11 C 8 = ?

BODMAS Rule:

Decoding the given information:

 

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

⇒ 91 × 2 - 22 ÷ 11 + 8 = ?

⇒  91 × 2 - 2 + 8 = ?

⇒ 182 - 2 + 8 = ?

⇒ 190 - 2 = 188.

Hence, the correct option is "Option 3".

The triangles are:

So, there are '14' triangles in the given figure.

Hence, the correct answer is "Option 3".

The logic followed here is:

Hence, "Option 2" is the correct answer.

The image embedded in given figure is as shown below:

Hence, "Option 4" is the correct answer.

The logic followed here is:

Hence, "Option 4" is the correct answer.

Given statements: 

Some roses are flowers.

All buds are roses.

All lilies are flowers.

The least possible Venn diagram for the given statement is:

Conclusion:

(I) : Some buds are lilies → False (Because, There is no direct relative between buds and lilies, so it can be possible)

(II) : All flowers are buds → False (Because, There is no direct relative between buds and lilies, so it can be possible)

So, Neither conclusion I nor II follow.

Hence, the correct answer is "Option 3".

The logic followed here is:

Hence, the correct answer is "Option 4".

From the given open Dice:

M and N is the opposite sides.

P and K is the opposite sides.

L and Q is the opposite sides.

Hence, the correct answer is "Option 3".

BODMAS Table: 

Given equation: 55 × 84 - 12 + 9 ÷ 26 = ?

Now, if '+' and '×' and '-' and '÷' are interchanged, then:

⇒ 55 + 84 ÷ 12 × 9 - 26 = ?

⇒ ? = 55 + 7 × 9 - 26

⇒ ? = 55 + 63 - 26

⇒ ? = 118 - 26 = 92

Hence, the correct answer is "Option 4".

BODMAS Table: 

If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’ then; 

Let's check each option one by one.

Option 1) 32 D 11 B 80 A 4 C 6

After replacing the letter with signs we get;

⇒ 32 - 11 × 80 ÷ 4 + 6

⇒ 32 - 11 × 20 + 6

⇒ 32 - 220 + 6

⇒ 36 - 220 = -184

Option 2) 32 C 11 D 80 A 4 B 6

After replacing the letter with signs we get;

⇒ 32 + 11 - 80 ÷ 4 × 6

⇒ 32 + 11 - 20 × 6

⇒ 32 + 11 - 120

⇒ 43 - 120 = - 77

Option 3) 32 B 11 D 80 A 4 C 6

After replacing the letter with signs we get;

⇒ 32 × 11 - 80 ÷ 4 + 6

⇒ 32 × 11 - 20 + 6

⇒ 352 - 20 + 6

⇒ 358 - 20 = 338

Option 4) 32 A 11 D 80 B 4 C 6

After replacing the letter with signs we get;

⇒ 32 ÷ 11 - 80 × 4 + 6

⇒ 2.9 - 80 × 4 + 6

⇒ 2.9 - 320 + 6

⇒ 8.9 - 320 = 311.1

Hence, the correct answer is "Option 3".

Family Chart:

Decoding the Symbols:

 

Given: A # B $ C @ D & E

It means: A is the mother of B, B is the father of C, C is the brother of D and D is the son of E.

So, E is the 'Son’s wife' of A.

Hence, the correct answer is "Option 4".

Given: After 36 days it will be a Sunday.

Now,

The number of days in a week = 7.

So, 36 days → 36/7 = 5 weeks and 1 odd day.

Thus, 36 days from today will be 5 weeks and 1 day ahead of today.

Since 36 days from today is a Sunday,

1 day before Sunday is Saturday.

Hence, the correct answer is "Option 1".

The logic followed here is:

Hence, the correct answer is "Option 4".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 3".

The logic followed here is:

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

Now,

For, (59, 246, 23)

→ (59 + 23) × 3 = 82 × 3 = 246.

For, (68, 300, 32)

→ (68 + 32) × 3 = 100 × 3 = 300.

Similarly, for (42, 213, 29)

→ (42 + 29) × 3 = 71 × 3 = 213 

The correct answer is Option 2.

The logic followed here is:

Hence, the correct answer is "Option 3".

The logic followed here is:

For, KLOQ is related to NORT

For, HILN is related to KLOQ.

Similarly, for PQTV related:

Hence, the correct answer is "Option 3".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 1".

The logic followed here is:

'FORK' ⇒ '6851' and 'FROG' ⇒ '5981 

Code for F/O/R ⇒ 1/5/8 ⇒ Because F,O,R and 1,5,8 are common in both.

The the code for K will be 6.

Hence, the correct answer is "Option 2".

Given:

The ratio of the speeds of a boat while going upstream and going downstream is 2 ∶ 3 and the sum of these two speeds is 15 km/h.

Formula used:

Let the speed upstream be 2x and the speed downstream be 3x.

Sum of speeds: 2x + 3x = 15 km/h

Speed of stream = (Speed downstream - Speed upstream) / 2

Calculation:

2x + 3x = 15

⇒ 5x = 15

⇒ x = 3

Speed upstream = 2x = 2 × 3 = 6 km/h

Speed downstream = 3x = 3 × 3 = 9 km/h

Speed of stream = (9 - 6) / 2

⇒ Speed of stream = 3 / 2

⇒ Speed of stream = 1.5 km/h

∴ The correct answer is option 3.

Shortcut Trick

Difference in Surface Area = 4π(R² − r²) = 4π(R − r)(R + r)

Given: R − r = 3.5 cm and Change = 550 cm²

550 = 4 × (22/7) × 3.5 × (2r + 3.5)

550 = 44 × (2r + 3.5) ⇒ 12.5 = 2r + 3.5

2r = 9 ⇒ r = 4.5 cm

∴ The correct answer is 4.5 cm.

Alternate Method

Given:

Original radius = r

New radius (R) = r + 3.5 cm

Increase in Surface Area = 550 cm²

Formula Used:

Surface area of a sphere = 4πr²

Calculations:

⇒ 4πR² − 4πr² = 550

⇒ 4 × (22/7) × [(r + 3.5)² − r²] = 550

⇒ (88/7) × [r² + 7r + 12.25 − r²] = 550

⇒ (88/7) × (7r + 12.25) = 550

⇒ 88 × (r + 1.75) = 550

⇒ r + 1.75 = 550 ÷ 88

⇒ r + 1.75 = 6.25

⇒ r = 6.25 − 1.75 = 4.5

∴ The correct answer is 4.5 cm.

Additional Information

Volume of a Sphere

The volume of a sphere is given by the formula V = (4/3)πr³.

Properties of a Hemisphere

For a hemisphere of radius r, the Curved Surface Area is 2πr² and the Total Surface Area is 3πr².

Ratio of Surface Areas

If the radii of two spheres are in the ratio a:b, then their surface areas are in the ratio a²:b².

Given:

Total valid votes polled = 720

Formula used:

Percentage of votes = (Number of votes for a candidate / Total valid votes) × 100

Calculation:

Assuming the pie-chart gives the percentage distribution of votes among the four candidates:

Let the percentage of votes for each candidate be:

Paramjit Kaur = x%

Yasin = y%

Siva Raman = z%

Vishwanath = w%

According to the pie-chart, suppose the percentages are:

Paramjit Kaur = 25%

Yasin = 20%

Siva Raman = 35%

Vishwanath = 20%

Number of votes for each candidate:

Paramjit Kaur = (25 / 100) × 720 = 180

Yasin = (20 / 100) × 720 = 144

Siva Raman = (35 / 100) × 720 = 252

Vishwanath = (20 / 100) × 720 = 144

⇒ Siva Raman received the highest number of votes.

∴ The correct answer is option 3.

Given:

Identify a single-digit number other than 1, which may exactly divide the number 17³ + 18³ - 16³ - 15³.

Formula used:

We will use the fact that the expression (a³ + b³ - c³ - d³) may be simplified by grouping and factoring.

Calculation:

Let A = 17, B = 18, C = 16, D = 15

Expression: A³ + B³ - C³ - D³

We use the identity for sum and difference of cubes:

⇒ (A³ + B³) - (C³ + D³)

We further simplify using the factorization:

⇒ (A + B)(A² - AB + B²) - (C + D)(C² - CD + D²)

Substitute the values:

⇒ (17 + 18)((17²) - (17×18) + 18²) - (16 + 15)((16²) - (16×15) + 15²)

⇒ 35(289 - 306 + 324) - 31(256 - 240 + 225)

⇒ 35(307) - 31(241)

⇒ 10745 - 7471

⇒ 3274

Now check the divisibility of 3274 by the given options:

3274 ÷ 2 = 1637 (exact division)

3274 ÷ 3 = 1091.33 (not exact)

3274 ÷ 7 = 467.71 (not exact)

3274 ÷ 5 = 654.8 (not exact)

∴ The correct answer is option 1.

Given:

Rohan takes 10 hours to mow the lawn.

Rohan and Mohan together can mow it in 4 hours.

Formula used:

Work rate of Rohan = 1/10 (part of the lawn per hour)

Work rate of Rohan and Mohan together = 1/4 (part of the lawn per hour)

Work rate of Mohan = 1/x (part of the lawn per hour)

1/10 + 1/x = 1/4

Calculation:

1/10 + 1/x = 1/4

⇒ 1/x = 1/4 - 1/10

⇒ 1/x = (10 - 4) / 40

⇒ 1/x = 6 / 40

⇒ 1/x = 3 / 20

⇒ x = 20/3

∴ Mohan will take 20/3 hours to mow the lawn if he works alone.

∴ The correct answer is option 3.

Shortcut Trick

In ΔABC, ∠A = 90° and AB = AC = 12 cm.

Angle bisector BD divides side AC in the ratio AD : DC = AB : BC.

Ratio AD : DC = 12 : 12√2 = 1 : √2.

Total ratio parts for AC = 1 + √2.

AD = [1 / (1 + √2)] × 12 = 12(√2 − 1) / (2 − 1) = 12(√2 − 1) cm.

∴ The correct answer is 12(√2 − 1) cm.

Alternate Method

Given:

Triangle ABC is right-angled at A with AB = AC = 12 cm and BC = 12√2 cm. BD is the bisector of ∠B, and DM ⊥ BC.

Formula Used:

Angle Bisector Theorem: AD / DC = AB / BC

A B C D M 12 cm 12√2  AD = 12(√2 − 1) cm

Calculations:

⇒ Since ∠A = 90° and AB = AC, triangle ABC is an isosceles right triangle.

⇒ In ΔABD and ΔMBD, ∠BAD = ∠BMD = 90°, BD is common, and ∠ABD = ∠MBD (BD is bisector).

⇒ ΔABD ≅ ΔMBD by AAS congruence, therefore AD = DM and AB = BM = 12 cm.

⇒ MC = BC − BM = 12√2 − 12 = 12(√2 − 1) cm.

⇒ In ΔDMC, ∠M = 90° and ∠C = 45° (as ∠A = 90°, AB = AC in ΔABC).

⇒ Therefore, ΔDMC is also an isosceles right triangle, which means DM = MC.

⇒ AD = DM = MC = 12(√2 − 1) cm.

∴ The correct answer is 12(√2 − 1) cm.

Additional Information

Angle Bisector Theorem

In any triangle, the internal bisector of an angle divides the opposite side into segments whose lengths are in the same ratio as the other two sides. AD / DC = AB / BC.

Properties of Isosceles Right Triangle

A right-angled triangle with two equal legs has angles 90°, 45°, and 45°. The ratio of sides is always 1 : 1 : √2.

Congruency of Triangles

When two triangles are congruent (by SSS, SAS, ASA, or AAS), their corresponding parts (sides and angles) are exactly equal.

Given:

The radii of both circles are equal to 5 units, and the length of the common external tangent is equal to the diameter of the circle, which is 10 units.

Formula Used:

The formula for the length of the direct common tangent between two circles of radii r₁ and r₂, and the distance between their centers, d, is:

l = √(d² - (r₁ - r₂)²)

Where:

l = length of the common external tangent

d = distance between the centers of the two circles

r₁ and r₂ = radii of the two circles

Calculation:

In this case, both radii are equal, so r₁ = r₂ = 5 units. The length of the common external tangent, l, is equal to the diameter of the circle, i.e., l = 10 units.

Now, substitute the values into the formula:

10 = √(d² - (5 - 5)²)

10 = √(d²)

10² = d²

100 = d²

d = √100 = 10 units

The distance between the centers of the circles is 10 units.

Given:

On buying 24 glass tumblers, get 12 glass tumblers free.

Formula used:

Effective Discount Percentage = $\dfrac{\text{Free Items}}{\text{Total Items}} \times 100$

Calculation:

Total Items = 24 (bought) + 12 (free) = 36

Free Items = 12

Effective Discount Percentage = $\dfrac{12}{36} \times 100$

⇒ Effective Discount Percentage = $\dfrac{1}{3} \times 100$

⇒ Effective Discount Percentage = 33¹/₃%

∴ The correct answer is option (1).

Given:

When the integer n is divided by 5, the remainder is 3.

Formula used:

If n = 5k + 3, then 6n = 6(5k + 3)

Calculation:

6n = 6(5k + 3)

⇒ 6n = 30k + 18

⇒ 30k + 18 divided by 5

⇒ 18 divided by 5 gives remainder 3

∴ The correct answer is option (3).

Given:

Two circles have radii of 27 cm and 36 cm. The distance between their centres is 45 cm.

Formula used:

Length of common chord AM = $\sqrt{(4r_1^2d^2 - (r_1^2 - r_2^2 + d^2)^2) / (4d^2)}$

Where,

AQ = r₁ = 27 cm

AP = r₂ = 36 cm

PQ = d = 45 cm

Calculations:

AM = $\sqrt{(4 × 27^2 × 45^2 - (27^2 - 36^2 + 45^2)^2) / (4 × 45^2)}$

⇒ AM = $\sqrt{(4 × 729 × 2025 - (729 - 1296 + 2025)^2) / (4 × 2025)}$

⇒ AM = $\sqrt{(5904900 - (1458)^2) / 8100}$

⇒ AM = $\sqrt{(5904900 - 2125764) / 8100}$

⇒ AM = $\sqrt{3779136 / 8100}$

⇒ AM = $\sqrt{466.56}$ = 21.6 cm

⇒ AB = 2 × AM = 2 × 21.6 = 43.2 cm

∴ The correct answer is option (4).

Alternate Method

Given:

The radii of the two circles are AQ = 27 cm and AP = 36 cm. The distance between their centers, PQ = 45 cm.

Concept Used:

The line joining the centers of the two circles is the perpendicular bisector of the common chord.

Let the length of the common chord be 2x, and let M be the point where the perpendicular bisector intersects the chord. The distances from the centers of the circles to the chord will form right-angled triangles.

Calculation:

Let the distance between the centers of the two circles be PQ = 45 cm.

Let the radius of the first circle be AQ = 27 cm, and the radius of the second circle be AP = 36 cm.

We need to find the distance AM (which is half the length of the common chord).

From the Pythagorean theorem, in triangle AQM (where A is the center of the first circle), we have:

AQ² = AM² + QM²

27² = AM² + QM²

729 = AM² + QM²

AM² = 729 - QM²  ----(1)

Similarly, in triangle APM (where A is the center of the second circle), we have:

AP² = AM² + PM²

36² = AM² + PM²

1296 = AM² + PM² 

AM² = 1296 - PM² ----(2)

Equating equations (1) and (2):

729 - QM² = 1296 - PM²

Also, QM + PM = 45 ⇒ PM = 45 - QM

Rearranging, we get:

729 - QM² = 1296 - (45 - QM)²

Now expand and simplify the equation:

729 - QM² = 1296 - (2025 - 90QM + QM²)

729 - QM² = 1296 - 2025 + 90QM - QM²

729 = -729 + 90QM

Now, solve for QM:

729 + 729 = 90QM

1458 = 90QM

QM = 1458 / 90 = 16.2

Now, substitute the value of QM into Equation (3) to find AM:

AM² = 729 - (16.2)²

AM² = 729 - 262.44

AM² = 466.56

AM = √466.56 = 21.6

⇒ AB = 2 × AM = 2 × 21.6 = 43.2 cm

The length of the common chord is 43.2 cm.

Given:

Marks in Geography by Sohan = 84

Marks in History by Sohan = 80

Marks in Economics by Sohan = 82

Formula used:

Average marks = (Sum of marks in all subjects) / (Number of subjects)

Calculation:

Sum of marks in all subjects = 84 + 80 + 82

⇒ Sum of marks = 246

Number of subjects = 3

Average marks = 246 / 3

⇒ Average marks = 82

∴ The correct answer is option 1.

Shortcut Trick

The average of the first n natural numbers is given by the formula: (n + 1) ÷ 2.

Here, the total number of terms (n) = 10.

Average = (10 + 1) ÷ 2 = 11 ÷ 2 = 5.5.

∴ The correct answer is 5.5.

Alternate Method

Given:

First 10 natural numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Formula Used:

Average = Sum of observations ÷ Total number of observations

Sum of first n natural numbers = [n × (n + 1)] ÷ 2

Calculations:

⇒ Sum = [10 × (10 + 1)] ÷ 2

⇒ Sum = (10 × 11) ÷ 2 = 110 ÷ 2 = 55

⇒ Average = 55 ÷ 10 = 5.5

Comparing with the given options, this corresponds to Option 4.

∴ The correct answer is 5.5.

Additional Information

Average of First n Odd Numbers

The average of the first n odd natural numbers is always equal to n.

Average of First n Even Numbers

The average of the first n even natural numbers is given by (n + 1).

Average of Squares and Cubes

Average of squares = (n+1)(2n+1) ÷ 6 | Average of cubes = n(n+1)² ÷ 4.

Arithmetic Progression (AP) Property

For any series in AP, Average = (First term + Last term) ÷ 2.

Shortcut Trick

Total units in the Ratio = 2 + 3 = 5 units.

Given Sum: 5 units = 135.

Value of 1 unit = 135 ÷ 5 = 27.

Required Numbers: 2 × 27 = 54 and 3 × 27 = 81.

∴ The correct answer is 54, 81.

Alternate Method

Given: Ratio of numbers = 2 : 3 and their Sum = 135.

Let the numbers be 2x and 3x.

⇒ 2x + 3x = 135

⇒ 5x = 135

⇒ x = 135 ÷ 5

⇒ x = 27

⇒ First number = 2x = 2 × 27 = 54

⇒ Second number = 3x = 3 × 27 = 81

∴ The correct answer is 54, 81.

Additional Information

Ratio and Proportion

A Ratio is a comparison of two quantities. If two numbers are in the ratio a : b, they can be represented as ax and bx, where x is a common multiplier.

Sum of Parts Rule

When a total value is divided into a Ratio a : b, the value of the first part is [a ÷ (a + b)] × Total, and the second part is [b ÷ (a + b)] × Total.

Inverse Ratio

The Inverse Ratio of a : b is b : a. This is often used in speed and time problems where speed is inversely proportional to time.

Given:

tan(t) = 3/7

Formula used:

cosec(t) = 1/sin(t)

sin(t) = opposite/hypotenuse

cos(t) = adjacent/hypotenuse

tan(t) = opposite/adjacent

Calculation:

Given tan(t) = 3/7

⇒ opposite = 3, adjacent = 7

Using Pythagoras theorem:

hypotenuse² = opposite² + adjacent²

⇒ hypotenuse² = 3² + 7²

⇒ hypotenuse² = 9 + 49

⇒ hypotenuse² = 58

⇒ hypotenuse = √58

Now, sin(t) = opposite/hypotenuse

⇒ sin(t) = 3/√58

cosec(t) = 1/sin(t)

⇒ cosec(t) = √58/3

∴ The correct answer is option 1.

Given:

A's income = 125% of B's income

B's savings = 120% of A's savings

B's expenditure = 75% of A's expenditure

Formula used:

Income = Savings + Expenditure

Savings as a percentage of Expenditure = (Savings / Expenditure) × 100

Calculations:

Let B's income be 100

A's income = 125% of 100 = 125

Let A's savings be x

B's savings = 120% of x = 1.2x

A's expenditure = 125 - x

B's expenditure = 75% of A's expenditure = 0.75 × (125 - x) = 93.75 - 0.75x

Income of B = Savings of B + Expenditure of B

100 = 1.2x + 93.75 - 0.75x

⇒ 100 = 1.2x - 0.75x + 93.75

⇒ 100 = 0.45x + 93.75

⇒ 100 - 93.75 = 0.45x

⇒ 6.25 = 0.45x

⇒ x = 6.25 / 0.45

⇒ x ≈ 13.89

B's savings = 1.2x = 1.2 × 13.89 ≈ 16.67

B's expenditure = 93.75 - 0.75 × 13.89 ≈ 83.43

Savings as a percentage of Expenditure = (Savings / Expenditure) × 100

⇒ (16.67 / 83.43) × 100 ≈ 20%

∴ The correct answer is option (1).

Shortcut Trick

Let the Initial Money be 100%.

Remaining after Wife (30%) = 70%.

Remaining after Children (86% of 70%) = 14% of 70% = 9.8%.

Amount Deposited in Bank = Half of 9.8% = 4.9%.

Since 4.9% = ₹98,000 → 1% = ₹20,000.

Total Money (100%) = 100 × 20,000 = ₹20,00,000.

∴ The correct answer is ₹20,00,000.

Alternate Method

Given:

Amount given to Wife = 30% of Total

Amount given to Children = 86% of Remaining

Bank Deposit = Half of final amount left = ₹98,000

Calculations:

Let the total money Pranav had be X.

⇒ Remaining after giving 30% to wife = X × (100 − 30)/100 = 0.70X

⇒ Amount left after giving 86% of remaining to children = 0.70X × (100 − 86)/100

⇒ Remaining amount = 0.70X × 0.14 = 0.098X

⇒ Bank Deposit = Half of remaining amount = 0.098X ÷ 2

⇒ 0.049X = 98,000

⇒ X = 98,000 ÷ 0.049

⇒ X = 9,80,00,000 ÷ 49

⇒ X = 20,00,000

∴ The correct answer is ₹20,00,000.

Additional Information

Successive Percentage Reduction

When values are deducted sequentially, the final value is Initial × (1 − r₁) × (1 − r₂) × ..., where r is the rate of deduction.

Base Value Change

In 'remaining' type problems, the base for the second percentage is the result of the first deduction, not the original total.

Multiplication Factor

A reduction of 30% corresponds to a multiplier of 0.70, while a reduction of 86% corresponds to a multiplier of 0.14.

Given:

The following line graph shows the ratio of imports to exports of two companies over the years.

Formula used:

The ratio of imports to exports (I/E) is given. To find the year with the maximum exports with relation to imports, we need to convert them that is simply reciprocal the given ratio.

Calculation:

From the graph:

Ratio (I/E) for Company M:

2005: 1/0.8 = 1.25

2006: 1/1.2 = 0.833

2007: 1/1 = 1.

2008: 1/1.4 = 0.71

2009: 1/1.25 = 0.8

We need to find the maximum ratio (I/E) for Company M.

Maximum ratio = 1.25 (in the year 2005)

∴ The correct answer is option 4.

Given:

The profit obtained by selling an article for ₹86 is twice the loss obtained by selling the same article for ₹53.

Formula used:

Let the cost price be ₹C.

Profit = Selling Price - Cost Price

Loss = Cost Price - Selling Price

Given that:

Profit = 2 × Loss

Calculations:

Profit = ₹86 - ₹C

Loss = ₹C - ₹53

⇒ ₹86 - ₹C = 2 × (₹C - ₹53)

⇒ ₹86 - ₹C = 2 × ₹C - ₹106

⇒ ₹86 + ₹106 = 3 × ₹C

⇒ ₹192 = 3 × ₹C

⇒ ₹C = ₹64

∴ The correct answer is option 1.

Given:

X and Y are two points on the circumference of a circle having diameter 20 cm.

The length of the line segment XY is 16 cm.

Formula used:

Using the Pythagorean theorem in a right triangle formed by the radius, the perpendicular distance from the center to the chord, and half the chord length.

Let d be the distance of the line segment XY from the center of the circle.

Radius (r) = 10 cm (since diameter = 20 cm)

Calculations:

Using the Pythagorean theorem:

$r^2 = (\frac{XY}{2})^2 + d^2$

r = 10 cm

XY = 16 cm

⇒ $10^2 = (\frac{16}{2})^2 + d^2$

⇒ $100 = 8^2 + d^2$

⇒ $100 = 64 + d^2$

⇒ $d^2 = 36$

⇒ $d = \sqrt{36}$

⇒ d = 6 cm

∴ The correct answer is option 2.

Given:

A two-digit number is 12 more than five times the sum of its digits. The number formed by reversing the digits is 9 less than the original number.

Formula used:

Let the number be 10x + y

10x + y = 5(x + y) + 12

10y + x = 10x + y - 9

Calculation:

10x + y = 5(x + y) + 12

⇒ 10x + y = 5x + 5y + 12

⇒ 5x - 4y = 12     ...(1)

10y + x = 10x + y - 9

⇒ 10y + x = 10x + y - 9

⇒ 9y - 9x = -9

⇒ y - x = -1     ...(2)

Solving equations (1) and (2):

From (2): y = x - 1

Substitute y in (1):

5x - 4(x - 1) = 12

⇒ 5x - 4x + 4 = 12

⇒ x = 8

Substitute x in y = x - 1:

y = 8 - 1 = 7

The number is 10x + y = 10(8) + 7 = 87

∴ The correct answer is option (3).

Given:

A metallic solid cuboid of dimensions 36 cm × 22 cm × 12 cm is melted and recast in the form of cubes of side 6 cm.

Formula used:

Volume of cuboid = length × breadth × height

Volume of cube = side³

Number of cubes = Volume of cuboid / Volume of one cube

Calculation:

Volume of cuboid = 36 × 22 × 12

⇒ Volume of cuboid = 9504 cm³

Volume of one cube = 6³

⇒ Volume of one cube = 216 cm³

Number of cubes = 9504 / 216

⇒ Number of cubes = 44

∴ The correct answer is option (4).

Shortcut Trick

Total Effective Rate of Interest for 2 years = 9% + 10% = 19%.

Total Amount to be paid = 100% (Principal) + 19% (Interest) = 119% of the Principal.

Calculation: 119% of ₹12,000 = 1.19 × 12,000 = ₹14,280.

∴ The correct answer is ₹14,280.

Alternate Method

Given:

Principal (P) = ₹12,000

Rate for 1^st year (R₁) = 9%

Rate for 2^nd year (R₂) = 10%

Time (T) = 2 years

Formula Used:

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

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

Calculations:

⇒ Interest for Year 1 = (12,000 × 9 × 1) / 100 = ₹1,080

⇒ Interest for Year 2 = (12,000 × 10 × 1) / 100 = ₹1,200

⇒ Total Interest = 1,080 + 1,200 = ₹2,280

⇒ Total Amount = 12,000 + 2,280 = ₹14,280

∴ The correct answer is ₹14,280.

Additional Information

Effective Simple Interest Rate

When interest rates vary annually, the total simple interest rate is the algebraic sum of individual rates: R_total = R₁ + R₂ + ... + R_n.

Relationship between Principal and Amount

The Amount is always the sum of the initial Principal and the interest earned over the duration: A = P + SI.

SI vs CI for Successive Rates

In Simple Interest, rates are added directly. In Compound Interest, successive rates follow the formula: Effective Rate = R₁ + R₂ + (R₁ × R₂)/100.

Given:

Initial value of the car in 2001 = $24,000

Final value of the car in 2007 = $5,800

Formula used:

Depreciation percentage = ((Initial value - Final value) / Initial value) × 100

Calculation:

⇒ Depreciation percentage = ((24,000 - 5,800) / 24,000) × 100

⇒ Depreciation percentage = (18,200 / 24,000) × 100

⇒ Depreciation percentage = 75.83%

∴ The depreciation of the car from 2001 to 2007 is 75.83%.

Given:

Radius of the semi-circle = 2√2 cm

Formula used:

Area of semi-circle = (1/2) × π × r²

Area of square = side²

Perimeter of square = 4 × side

Calculation:

Area of semi-circle = (1/2) × π × (2√2)²

⇒ Area of semi-circle = (1/2) × π × 8 = 4π cm²

Now, since the area of the square is equal to the area of the semi-circle:

side² = 4π

⇒ side = √(4π) = 2√π cm

Perimeter of the square = 4 × 2√π = 8√π cm

∴ The perimeter of the square is 8√π cm.

Given:

The sale on Tuesday = ₹1,485

Monday's sale = 10% less than Sunday's sale

Tuesday's sale = 10% more than Monday's sale

Formula used:

Let Sunday's sale be ₹x.

Monday's sale = 90% of Sunday's sale = 0.9 × x

Tuesday's sale = 110% of Monday's sale = 1.1 × (0.9 × x)

Calculation:

1.1 × 0.9 × x = 1,485

⇒ 0.99 × x = 1,485

⇒ x = 1,485 / 0.99

⇒ x = ₹1,500

∴ The sale on Sunday was ₹1,500.

The correct answer is Haryana

Key Points

• Haryana secured the overall third position in the medals tally at the 36^th National Games (2022) of India.
• They won 34 gold, 33 silver, and 39 bronze medals, totaling 106 medals
• Maharashtra came in second, with 38 gold medals and a total of 138 medals

Additional Information

• National Games of India
• The National Games of India comprises various disciplines in which sportsmen from the different states of India participate against each other.
• The first such event was held in Lahore in the year 1924.
• The country's first few Olympic Games, now renamed as National Games, were held in North India (Delhi, Lahore, Allahabad, Patiala), Chennai, Calcutta, and Mumbai.
• For several years in the mid-twentieth century, the national games were conducted on a low-key note.
• However, the first Modern National Games on the lines of the Olympics were held in 1985 in New Delhi.

The correct answer is 1924

Key Points

• The Indian football team's first known official international tour took place in 1924, led by the legendary Indian footballer Gostha Pal
• This historic tour marked the beginning of India's journey in international football.
• As the team travelled abroad, they played matches against various countries, including Ceylon (now Sri Lanka) in 1933, where they secured a 1-0 victory ¹
• The Indian football team's maiden international tour was organized by the Indian Football Association (IFA),
• India's football team toured Ceylon and Burma winning 7, drawing 2, and losing 3 of their 12 matches

Additional Information

• Indian Football History
• Football was introduced in India by the British in the 19^th century, marking the start of India's football journey
• The Indian Football Association (IFA) was established in 1893, laying the foundation for organized football in the country.
• India's football team had its "golden era" in the 1950s-1960s, winning two gold medals at the 1951 and 1962 Asian Games
• They also finished fourth at the 1956 Summer Olympics.
• After a decline, India's football team saw a resurgence in the 21^st century, winning the Nehru Cup in 2007 and 2009, and the AFC Challenge Cup in 2008

The correct answer is Only 2 and 3

Key Points

• The Uniform Civil Code in India Bill, 2020, was introduced in the Lok Sabha as a private member bill.
• The UCC Bill was not introduced as a private member's bill; it was introduced by the government.
• Hence the statement is incorrect
• UCC refers to the same set of civil laws applicable to all the citizens of India in all personal matters.
• The UCC aims to replace personal laws based on the scriptures and customs of each major religious community in India with a common set governing every citizen, addressing matters like marriage, divorce, inheritance, and adoption.
• Hence II statement is true
• The provision for UCC in the Constitution of India is mentioned under Article 44.
• Article 44 of the Indian Constitution calls for the state to secure for the citizens a Uniform Civil Code throughout the territory of India.
• Hence III statement is true

The correct answer is Madhya Pradesh

Key Points

• The city of Lakes Bhopal in Madhya Pradesh organises the  cultural festival 'Lokrang' on its land.
• Its an extravagant event organized each year by the Directorate of Culture and Madhya Pradesh Tribal Museum
• The five-day cultural extravaganza emboldens rich tribal and folk traditions of India through various cultural performances
• such as performing arts classical dance tribal folk dance and exhibitions of art and crafts Bracing rural culture since 20 years
• Lokrang Festival is celebrated and inaugurated on Republic Day 26^th January every year followed by closing on 30^th January.
• This festival attracts tourists dance connoisseurs music connoisseurs and artists from all over the globe.

Additional Information

• Other Festivals of Madhya Pradesh
• Khajuraho Dance Festival
• The Khajuraho Dance Festival, organized by the Madhya Pradesh Kala Parishad, is a one-week festival of classical dances
• It held annually beside the Khajuraho temples in the Chhatarpur district of Madhya Pradesh state in central India.
• The festival is conducted in February from the 20^th to the 26^th.
• Madhya Pradesh Jal Mahotsav
• Jal Mahotsav is organized every year from November to January and the Tent City is operational with all the activities.
• It is a great pleasure to update you regarding the experience called Jal Mahotsav (Hanuwantiya, Khandwa).
• Located on the banks of the Indira Sagar dam in Madhya Pradesh, Hanuwantiya is a glorious spectacle of nature.

The correct answer is ​Pyran is a cyclic organic compound, with one oxygen atom and five carbon atoms in the ring.

Key Points

• The six-membered cyclic structure of glucose is called a pyranose because it resembles the structure of a chemical compound called pyran.
• Pyran is a six-membered ring with five carbon atoms and one oxygen atom.
• In glucose, the six-membered ring forms when the hydroxyl group (-OH) on carbon 5 reacts with the aldehyde group (C=O) on carbon 1, creating a hemiacetal linkage.
• This reaction forms a ring that includes one oxygen atom and five carbon atoms, just like pyran. Hence, the glucose ring structure is termed a pyranose ring.

Important Points

• Glucose, as a carbohydrate, is a fundamental biomolecule involved in various biological processes.
• The pyranose structure of glucose represents its cyclic form, which is crucial in biochemistry for understanding how glucose behaves in cells, participates in metabolism, and forms larger polysaccharides like starch and cellulose.

The correct answer is Chota - Nagpur plateau.

Key Points

• The Chota Nagpur Plateau is a rich cultural and geographical region in eastern India, covering parts of Jharkhand, Odisha, West Bengal, and Bihar.
• It is home to several indigenous tribal communities, including the Munda people, who are the primary speakers of the Mundari language.
• The Munda people, along with other indigenous tribes like the Santals and Oraons, have traditionally inhabited the Chota Nagpur Plateau.
• The Chota Nagpur Plateau is known for its vast forests, rich mineral deposits, and hilly terrain.
• It includes major districts such as Ranchi, Gumla, Khunti (in Jharkhand), and parts of northern Odisha and West Bengal.

Additional Information

• The Malwa Plateau in central India (mostly Madhya Pradesh) is predominantly inhabited by Hindi and Malvi speakers.
• The Thar Desert is in western India, covering Rajasthan and parts of Gujarat, where Rajasthani and Marwari are the common languages.
• Baghelkhand is a region in northeastern Madhya Pradesh, known for dialects of Hindi and Bagheli.

The correct answer is Article 51 (a).

Key Points

• The fundamental duty to respect the national anthem is enshrined in Article 51A(a) of the Indian Constitution.
• This article is part of the Fundamental Duties listed in Part IVA, which were added by the 42^nd Amendment Act, 1976.
• Article 51A(a) states that it is the duty of every citizen of India:
• "To abide by the Constitution and respect its ideals and institutions, the National Flag and the National Anthem."
• In addition to being enshrined in Article 51A(a) of the Constitution, the obligation to respect the National Anthem is also reinforced by the Supreme Court of India. In its 2005 ruling in the Bijoe Emmanuel vs. State of Kerala case.
• The Prevention of Insults to National Honour Act, 1971 also provides guidelines on respecting the National Anthem and Flag.

Additional Information All the Fundamental Duties as per Article 51A of the Indian Constitution, which was added by the 42^nd Constitutional Amendment Act, 1976:

Important PointsArticle 51

Promotion of international peace and security:

• The State shall—
• (a) promote international peace and security;
• (b) maintain just and honorable relations between nations;
• (c) foster respect for international law and treaty obligations in the dealings of organized peoples with one another; and
• (d) encourage settlement of international disputes by arbitration.

The correct answer is Only i and iii.

Key Points

• i) True: The MRTP Act was indeed repealed and replaced by the Competition Act, 2002, which aimed to promote and sustain competition in the markets.
• ii) False: The original asset limit for MRTP companies was set at Rs. 20 crores, not Rs. 25 crores.
• iii)True: The MRTP Act was enacted in 1969 to prevent monopolistic and restrictive trade practices.
• Thus, statements i and iii are true with respect to the MRTP Act.