SSC CHSL Tier-1 2021: Official Paper (Held On : 30 May 2022 Shift 3) (Previous Year Paper)

The correct answer is "accepted by the visitors".

Key Points

• Let's look at the meaning of the given words.
• accepted: 

regard favorably or with approval; welcome. (अनुकूल रूप से या अनुमोदन के साथ; स्वागत।

)

• gratified: give (someone) pleasure or satisfaction. ((किसी को) सुख या संतुष्टि देना।)
• doomed: likely to have an unfortunate and inescapable outcome; ill-fated. (एक दुर्भाग्यपूर्ण और अपरिहार्य परिणाम होने की संभावना; बदकिस्मत।

)

• condemned: 

officially declared unfit for use. (आधिकारिक तौर पर उपयोग के लिए अनुपयुक्त घोषित किया गया।

)

• Options 2, 3, and 4 are not suitable for the underlined part in the given sentence as per the meaning of the given words.
• As per the meaning of the given words, "accepted" is the word that can improve the underlined sentence.
• The meaning of the given sentence is that the South Indian dish was liked and regarded favorably by the visitors.

The correct sentence is: The South Indian dish was accepted by the visitors as it was tasty.

Hence, the correct answer is option 4.

The correct answer is "an upset"

Key Points

• Let's look at the meaning of the given words.
• upset: 

(of a person's stomach) having disturbed digestion, especially because of something eaten.

• overset: 

upset emotionally.

• agitated: 

feeling or appearing troubled or nervous.

• perturbed: 

feeling anxiety or concern; unsettled.

• As per the meaning of the given words, "upset" is the appropriate word for the given blank.
• The meaning of the given sentence is that she took a leave from work due to an unsettled stomach.

The correct sentence is: She's been off work with an upset stomach. 

Hence, the correct answer is option 1.

The correct answer is "a".

Key Points

• We use the indefinite article "a" before nouns or adjectives with consonant sounds.
• In the given sentence, we need to use the indefinite article "a" before the adjective "self-sufficient".

​The correct sentence is: Rohan is a self-sufficient man who needs no assistance.

Hence, the correct answer is option 2.

The erroneous spelling is "Accommadation".

Key Points

• Let's look at the correct spelling and meaning of the word.
• Accommodation: 

a room, group of rooms, or building in which someone may live or stay.

• Example: The accommodation in the hotel arranged by the hosts of the conference was unpleasant, to say the least.

Hence, the correct answer is option 4.

Additional Information

• Let's look at the meaning of the other words.
• correspondence: 

a close similarity, connection, or equivalence.

• campaign: 

an organized course of action to achieve a goal.

• experiment: a scientific procedure is undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.
• All the other words are spelled correctly.

The correct answer is "One who argues against something just for the sake of arguing."

Key Points

• The meaning of the given idiom is "a person who expresses a contentious opinion in order to provoke debate or test the strength of the opposing arguments." (वह जो केवल बहस करने के लिए किसी बात का विरोध करता हो।)
• We use the given idiom in a situation where a person tries to demonstrate their ability to win an argument by supporting a contentious opinion.
• Example: Rupesh played the devil's advocate by lauding the anti-abortion bill in a room full of feminists.

​Hence, the correct answer is option 2.

The correct answer is "Dissatisfy".

Key Points

• Let's look at the meaning of the given word.
• Suffice: 

be enough or adequate.

• Example: Basita said, "I don't think the food we had ordered will suffice the guests."
• Let's look at the meaning of the given options.
• Excessed: more than the usual, proper, or a specified amount.
• Immatured: not fully grown or developed.; deficient in maturity; lacking wisdom, insight, emotional stability, etc.
• Satirize: 

deride and criticize by means of satire.

• Dissatisfy: 

fail to satisfy (someone).

• As per the meaning of the given words, "dissatisfy" is the antonym of the word "suffice".
• Example: The waiter did not want to dissatisfy the customers so he lied that the food was freshly made.

​Hence, the correct answer is option 4.​

The correct answer is "Prosperity ".

Key Points

• Let's look at the meaning of the given word:
• Opulence: 

great wealth or luxuriousness. (महान धन या विलासिता

)

• Example: Her mansion was a sight of sheer opulence.

• Let's look at the meaning of the given options:

• View: the ability to see something or to be seen from a particular place. (किसी चीज़ को देखने या किसी विशेष स्थान से देखे जाने की क्षमता।)

• Sagacity: the quality of having or showing understanding and the ability to make good judgments. (समझ रखने या दिखाने की गुणवत्ता और अच्छे निर्णय लेने की क्षमता।)

• Recognition: appreciation or acclaim for an achievement, service, or ability. (किसी उपलब्धि, सेवा या क्षमता के लिए प्रशंसा या प्रशंसा।)

• Prosperity: the state of being successful and having a lot of money. (सफल होने और बहुत सारा पैसा होने की अवस्था या भाव।)

• ​As per the meaning of the given words, "prosperity" is the synonym for the word "opulence".

• Example: Akbar's reign as a ruler was marked with prosperity and harmony.

​Hence, the correct answer is option 4.

The correct answer is "To withdraw from"

Key Points

• The meaning of the given idiom is "

withdraw from a commitment."

• We use the given idiom in a situation where "a person has withdrawn from a responsibility or pulled a plug on a venture they were part of."
• Example: Sidharth said, "You can still back out from the play if you like, it's your choice."

Hence, the correct answer is option 3.

The erroneous segment is "before she received".

Key Points

• In the given sentence, the usage of the past tense of the verb 'receive' which is "received" is grammatically incorrect.
• In the given sentence, the subject pronoun "she" should be followed by the conjugation of the verb "receive" which is "receives".
• The given sentence is in the future tense.

The correct sentence is: Suchitra will have to wait another month before she receives any reply to her letter.

Hence, the correct answer is option 4.

The correct answer is "to clean up ".

Key Points

• In the given sentence, the usage of the auxiliary verb "have" is grammatically incorrect.
• The auxiliary verb "have" is commonly used with the past participle form of the verb to make the present or past perfect tense.
• In the given sentence, the usage of the gerund form of the main verb "cleaning" is also grammatically incorrect as the given sentence is in the past tense**.**
• We need to use the infinitive form of the verb "to clean up" in the given sentence.
• We use the infinitive form of the verb to show an intention or purpose of an action.
• In the given sentence, the infinitive verb "to clean up" conveys the intention of the speaker's mother that the kitchen should be cleaned before the speaker goes outside.

The correct sentence is: My mom told me to clean up the kitchen before I go outside. 

Hence, the correct answer is option 2.

The erroneous spelling is "Immitate".

Key Points

• Let's look at the correct spelling and meaning of the marked option.
• Imitate: 

copy (a person's speech or mannerisms), especially for comic effect.

• Example: My son imitates his teacher so perfectly.

Hence, the correct answer is option 4.

Additional Information

• Let's look at the meaning of other given words.
• Protocol: 

the accepted or established code of procedure or behaviour in any group, organization, or situation.

• Medal : 

a metal disc typically of the size of a large coin and bearing an inscription or design, made to commemorate an event or awarded as a distinction to someone such as a soldier or athlete.

• Opponents : 

someone who competes with or opposes another in a contest, game, or argument.

• All the other words are spelled correctly.

The correct answer is: as efficient as he is.

Key Points

• The sentence "You are as efficient as he is." is a grammatically correct comparative sentence, and its correctness can be explained based on comparative structures, subject pronouns, and parallelism in sentence construction.
• Comparative Structure Using "as...as"
• In English grammar, when making comparisons of equality, we use the structure:
• as + adjective/adverb + as + noun/pronoun
• In this case, the adjective "efficient" is used to compare the efficiency of "you" and "he."
• Example:
• "You are as charming as he is."
• The Role of "he" as a Subject Pronoun
• Here, "he" is a subject pronoun that refers to the full clause "he is efficient."
• The Role of "is" in Parallel Structure
• To maintain parallelism, the second part of the sentence should mirror the first part. The verb "is" is necessary to complete the comparison clearly.
• "You are as efficient as he is (efficient)."

​Hence, the correct answer is: as efficient as he is.

Additional Information

• Why not "him" in place of 'he'?
• ​A common mistake in informal English is using an object pronoun like "him" instead of a subject pronoun "he."
• Incorrect: "You are as efficient as him."
• Correct: "You are as efficient as he is."
• Rule: Subject Pronoun Use
• According to standard grammar rules, when making a comparison where the second clause is implied, the subject pronoun must be used because it functions as the subject of an understood verb.

The correct answer is "Unequal comparisons".

Key Points

• The meaning of the given idiom is "to compare two things that are fundamentally different and therefore not suited to comparison".
• We use the given idiom when we compare two things that are not comparable by nature.
• Example: Aditi said, "You can't compare the death of your pet with the death of my nephew, it's like comparing apples and oranges."

Hence, the correct answer is option 4.

The correct answer is "a".

Key Points

• In the given sentence, we need to use the indefinite article "a" before the countable nouns.
• In the given sentence, the pound is a noun; the number of pounds is countable.
• So, we need to use the indefinite article "a" in the blank.

The correct sentence is: Their new house costed them a hundred and fifty-six thousand pounds.

Hence, the correct answer is option 1.

The correct answer is "Referring".

Key Points

• Let's look at the meaning of the given word.
• ​Pertaining: 

be appropriate, related, or applicable to. (उचित, संबंधित, या लागू हो।

)

• Let's look at the meaning of the given options.
• ​Promoting: 

support or actively encourage (a cause, venture, etc.); further the progress of. (समर्थन या सक्रिय रूप से प्रोत्साहित (एक कारण, उद्यम, आदि); की प्रगति को आगे बढ़ाएं।

)

• Denying: 

state that one refuses to admit the truth or existence. (यह बताएं कि कोई सत्य या अस्तित्व को स्वीकार करने से इनकार करता है।

)

• Trusting: 

showing or tending to have a belief in a person's honesty or sincerity; not suspicious. (किसी व्यक्ति की ईमानदारी या ईमानदारी में विश्वास दिखाना या दिखाना; संदिग्ध नहीं।

)

• Referring: 

direct the attention of someone to something. (किसी का ध्यान किसी बात की ओर मोड़ना।

)

• As per the meaning of the given words, "referring" is the appropriate meaning of the underlined word in the given sentence.
• ​Example: The cardiologist said," I keep referring to new medical journals to keep myself updated on developments in medical science."

Hence, the correct answer is option 4.

The correct answer is "asked about his daughter’s character. "

Key Points

• Let's look at the meaning of the given words.
• assessed: 

evaluate or estimate the nature, ability, or quality of.

• condemned: 

sentenced to a particular punishment, especially death.

• poked: 

jab or prod (someone or something) with one's finger or a sharp object.

• asked: 

say something in order to obtain an answer or some information.

• As per the meaning of the words, "asked" is the appropriate word for the underlined part of the given sentence.
• Options 1, 2, and 3 have different meanings from the given sentence.
• Option 4 has the same meaning as the given sentence.

The correct sentence is: Shrija asked about his daughter’s character.

Hence, the correct answer is option 4.​

The correct answer is "BDCA "

Key Points

• Let's look at the correct sequence of the passage.
• Statement B is the first sentence of the passage as it begins with a general statement which is also the theme of the passage. The opening sentence is about the Road which is one of the great fundamental institutions of mankind.
• Statement D is the second sentence of the passage as it mentions the functions of the Road. The functions are developing strategies and fixing the sites of battles. It is the Road that gives the framework to all economic development. It is the Road that is the channel of all trade, and, what is more important, of all ideas.
• Statement C is the third sentence of the passage as it talks about the significance of the Road to social existence. Its varied effects appear in every department of the State. It is the Road that determines the sites of many cities and the growth and nourishment of all.
• Statement A is the final sentence of the passage as it summarises all the core points of the passage in a sentence. It is mentioned that the Road is a necessary guide, without which progress from place to place would be a ceaseless experiment; it is a sustenance without which organised society would be impossible, Thus the Road moves and controls all history.

Hence, the correct sequence is option 1 i.e BDCA.

The correct answer is "Lurch"

Key Points

• Let's look at the meaning of the given words.
• Lupin: 

a plant of the pea family with deeply divided leaves and tall colorful tapering spikes of flowers.

• Lurch: make an abrupt, unsteady, uncontrolled movement or series of movements; stagger.
• Lugger: a small sailing ship with two or three masts and a lugsail on each.
• Lumen: the cavity of a tubular organ or part
• As per the meaning of the given words, "Lurch"  one-word substitute for the given group of words.
• ​Example: During the trek, Sandhya lost her grip while moving up and lurched forward to avoid falling down.

​Hence, the correct answer is option 2.

The correct answer is "simple".

Key Points

• Let's look at the meaning of the given word.
• recondite: 

(of a subject or knowledge) little-known; abstruse.

• Example: The Professor of sociology said, " The area of your research deals with economics and finance which are recondite to me."
• Let's look at the meaning of the given options.
• brief: of short duration; not lasting for long.
• simple: 

easily understood or done; presenting no difficulty.

• mystical: 

having a spiritual symbolic or allegorical significance that transcends human understanding.

• obscure: 

not discovered or known about; uncertain.

• As per the meaning of the given words, "simple" is the antonym of the word "recondite".
• Example: The couple decided to have a simple wedding with a limited number of guests.

Hence, the correct answer is option 2.

The erroneous spelling is "Abscent"

Key Points

• Let's look at the correct spelling and meaning of the word.
• Absent: 

not present in a place, at an occasion, or as part of something.

• Example: Aaron doesn't want to be absent on the first day of his new job, so he set an alarm.

Hence, the correct answer is option 2.

 

Additional Information

• Let's look at the meaning of the other words.
• ​Absolute: 

not qualified or diminished in any way; total.

• Absorb: 

take in and understand fully (information, ideas, or experience).

• Abstract: 

existing in thought or as an idea but not having a physical or concrete existence.

• All the other words are spelled correctly.

The correct answer is "both"

Key Points

• Let's try to understand the correct option.
• Option 1 is incorrect, as neither means "none of them", We use neither in a negative sense when we negate two things.
• Option 2 is incorrect as like means "similar to". It is used to show a degree of similarity with a thing.
• Option 4 is incorrect as the preposition "to" indicates a movement or direction/destination.
• Option 3 is correct, as the pronoun "both" indicates, two things are discussed or talked about.
• In the given sentence, the author is saying that in everyday language sleepwalking can be used in two ways that are informally and symbolically.

Hence, the correct answer is option 3.

The complete passage is: In everyday language, the phrase ‘sleepwalking’ can be used (1) both informally and symbolically to describe a lack of energy or attention. However, for (2)some infants and adults, sleepwalking is a genuine disorder with serious (3)repercussions. Sleepwalking, also known as somnambulism, is a sleep-related behavior condition that causes people to walk or execute other (4) complicated acts while they are still partly sleeping. It is more (5) prevalent in children than in adults, and it is more likely to develop if a person has a family history of the illness, is sleep deprived, or has many nightly awakenings.

The correct answer is "some".

Key Points

• Let's try to understand the correct option.
• Option 1 is incorrect as the pronoun "both" indicates, two things are discussed or talked about.​
• Option 3 is incorrect as the given sentence does not specify the quantity of the noun, so it is an uncountable noun. We use few only with count nouns.
• Option 4 is incorrect as the determiner "all" is used to describe the whole group of people. In the context of sleepwalking disorder, the determiner all is not appropriate for the blank as it does not apply to every person.
• Option 2 is correct as the determiner "some" is used with uncountable nouns, "infants and adults". In the context of sleepwalking disorder, the determine "some" is appropriate for the blank as it applies to certain infants and adults who suffer from it.

​Hence, the correct answer is option 2.

The complete passage is: In everyday language, the phrase ‘sleepwalking’ can be used (1) both informally and symbolically to describe a lack of energy or attention. However, for (2)some infants and adults, sleepwalking is a genuine disorder with serious (3)repercussions. Sleepwalking, also known as somnambulism, is a sleep-related behavior condition that causes people to walk or execute other (4) complicated acts while they are still partly sleeping. It is more (5) prevalent in children than in adults, and it is more likely to develop if a person has a family history of the illness, is sleep deprived, or has many nightly awakenings.

The correct answer is "repercussions"

Key Points

• Let's look at the meaning of the given words.
• impetus: something that makes a process or activity happen or happen more quickly.
• impulsions: 

the motive or influence behind an action or process.

• repercussions: 

an unintended consequence of an event or action, especially an unwelcome one.

• causes: 

a person or thing that gives rise to an action, phenomenon, or condition.

• As per the meaning of the given words, "repercussions" is the appropriate word for the blank.
• Example: The boss warned his employees that there would be serious repercussions for the late comers in the office.
• ​The implied meaning of the given sentence is that sleepwalking is a genuine disorder with serious consequences for some infants and adults.

​Hence, the correct answer is option 3.

The complete passage is: In everyday language, the phrase ‘sleepwalking’ can be used (1) both informally and symbolically to describe a lack of energy or attention. However, for (2)some infants and adults, sleepwalking is a genuine disorder with serious (3)repercussions. Sleepwalking, also known as somnambulism, is a sleep-related behaviour condition that causes people to walk or execute other (4) complicated acts while they are still partly sleeping. It is more (5) prevalent in children than in adults, and it is more likely to develop if a person has a family history of the illness, is sleep deprived or has many nightly awakenings.

The correct answer is "complicated"

Key Points

• Let's look at the meaning of the given words.
• comprehensive: 

including or dealing with all or nearly all elements or aspects of something.

• complicated: 

consisting of many interconnecting parts or elements; intricate.

• compound : 

a thing that is composed of two or more separate elements; a mixture.

• combined: 

join or merge to form a single unit or substance.

• As per the meaning of the given words, "complicated" is the appropriate word for the blank.
• Example: *The lawyer warned his client," Civil suits are the most complicated legal disputes."*​
• The implied meaning of the given sentence is that sleepwalking patients are capable of performing difficult and complex acts.

Hence, the correct answer is option 2.

The complete passage is: In everyday language, the phrase ‘sleepwalking’ can be used (1) both informally and symbolically to describe a lack of energy or attention. However, for (2)some infants and adults, sleepwalking is a genuine disorder with serious (3)repercussions. Sleepwalking, also known as somnambulism, is a sleep-related behaviour condition that causes people to walk or execute other (4) complicated acts while they are still partly sleeping. It is more (5) prevalent in children than in adults, and it is more likely to develop if a person has a family history of the illness, is sleep deprived or has many nightly awakenings.

The correct answer is "prevalent ".

Key Points

• Let's look at the meaning of the given words.
• ​triumphant: 

feeling or expressing jubilation after a victory or achievement.

• prevalent: generally or widely accepted; practiced, or favored; 

widespread.

• swift: 

happening quickly or promptly.

• hidden: kept out of sight; concealed.
• As per the meaning of the given words, "prevalent" is the appropriate word for the blank.
• Example: The usage of artificial intelligence is more prevalent in our everyday lives, from smart watches to mobile phones.
• The implied meaning of the given sentence is that sleepwalking is more common in children than in adults.

Hence, the correct answer is option 2.

The complete passage is: In everyday language, the phrase ‘sleepwalking’ can be used (1) both informally and symbolically to describe a lack of energy or attention. However, for (2) some infants and adults, sleepwalking is a genuine disorder with serious (3)repercussions. Sleepwalking, also known as somnambulism, is a sleep-related behaviour condition that causes people to walk or execute other (4) complicated acts while they are still partly sleeping. It is more (5) prevalent in children than in adults, and it is more likely to develop if a person has a family history of the illness, is sleep deprived, or has many nightly awakenings.

The logic followed here is:

The pattern is:

Only the value of I is not changed because the values of vowels does not change in this pattern.

 Thus,  CHILD is coded as  6169248

Only the value of U & E is not changed because the values of vowels does not change in this pattern.

Thus, GUEST is coded as 122153840

 Similarly,

Only the value of O is not changed because the values of vowels does not change in this pattern.

 Thus, BOOK is coded as  4151522

 Hence, the correct answer is 4151522.

In the given series the pattern followed is:

(first term)³ + (first term)² = Second term

Let's apply the pattern on pair one:

4 ∶ 80 

(first term)3 + (first term)2 = Second term

 (4)³ + (4)² = 80

 (64) + (16) = 80 

 80 = 80 

Let's apply the pattern on pair two:

7 ∶ 392

(first term)3 + (first term)2 = Second term

 (7)3 + (7)2 = 392

 (343) + (49) = 392 

 392 = 392 

Let's apply the pattern on pair three:

5 ∶ ?

(first term)3 + (first term)2 = Second term

 (5)3 + (5)2 = Second term

 (125) + (25) = Second term 

 150 = Second term 

Hence, the correct answer is 150,

The answer is option 2) MLN

SOLUTION:

The pattern followed in the given series is:

 The next cluster comes out to be MLN.

Hence, the correct answer is MLN.

The given figure can be differentiated into parts so that we can easily find the number of triangles: 

Total triangles = 12 + 8 + 2 + 2

Total triangles = 24 

Hence, the correct answer is 24.

The pattern in the given series is:

Hence, the correct answer is 20.

The pattern followed in the given series is:

• First and third alphabets are interchanged & fifth and seventh alphabets are interchanged.

​           

  GREATLY is coded as  ERGAYLT

           

  MIXTURE is coded as XIMTERU

           

  TROUBLE is coded as ORTUELB

Hence, the correct answer is ORTUELB.

The mirror image of the given image is:

Here we can see the given combination which is inverted. Now on comparing the inverted combination with the options,

We get option 1) similar to it.

Hence, the correct answer is option 1)

The position of the English alphabet letters is given below:

       

Hence, the correct answer is "MXJY".

The least possible Venn Diagram is as follows:

I. Some towels are cushions → False ( In the statement it is stated that all towels are clothes and there is no relation between cloth and cushion therefore there is no relation between towels and cushion. It is possible but not definite. Thus, the conclusion I does not follows.)

II. No cushion is a cloth → False **(**There is no such evidence that gives us the information about cloth not being related to cushion and therefore it us a possibility that cushion relates to cloth. It is possible but not definite. Thus, the conclusion does not follow.)

III. No towel is a blanket → True  **(**In the statement it is clearly said that "all towels are cloths" and "no cloth is a blanket" therefore it is safe to say that there is no relation between towel and blanket. Thus, the conclusion follows.)

Hence, the correct answer is  "Only conclusion III follows".

The given image :

In the image we can see that the left of ₹ is ₭ and the right of  ₹ is ₾.

In a dice the left and right of the same face are placed opposite to each other. And in this case ₭ and ₾ are in this position. Therefore 

₭ is the face opposite to ₾

Hence, the correct answer is option 1) ₭.

The logic followed here is:

The given equation is:

 43 * 11 * 4 * 71 * 16

Let's apply each option and solve the equation using BODMAS rule: Bracket of Division Multiplication Addition Subtraction.

Option 1) −,=,+,×

43 - 11 = 4 + 71 × 16

43 - 11 = 4 + 1136

43 - 11 = 1140

32 = 1140 Incorrect 

Option 2) =,−,+,×

43 = 11 - 4 + 71 × 16

43 = 11 - 4 + 1136

43 = 1147 - 4

43 = -1143 Incorrect 

Option 3) +,×,=,+

43 + 11 × 4 = 71 + 16

43 + 44 = 71 + 16

87 = 87 Correct 

Option 4) −,×,=,+ 

43 - 11 × 4 = 71 + 16

43 - 44 = 71 + 16

43 - 44 = 87

-1 = 87 Incorrect 

Hence, the correct answer is "+,×,=,+"

The correct answer is option 1) –,÷,+,×, = 

SOLUTION:

 The given equation is:

 57 * 35 * 7 * 14 * 2 * 80

Let's apply each option and solve the equation using BODMAS rule: Bracket of Division Multiplication Addition Subtraction.

 Option 1) –,÷,+,×, = 

57 - 35 ÷ 7 + 14 × 2 = 80

57 - 5 + 14 × 2 = 80

57 - 5 + 28 = 80

85 - 5 = 80

80 = 80 Correct 

 Option 2) ×, +, ÷,–, =

57 × 35 + 7 ÷ 14 - 2 = 80

57 × 35 + 0.5 - 2 = 80

1995 + 0.5 - 2 = 80

1995.5 - 2 = 80

1993.5 = 80 Incorrect 

 Option 3) +,–, ×,÷, =

57 + 35 - 7 × 14 ÷ 2 = 80

57 + 35 - 7 × 7 = 80

57 + 35 - 49 = 80

92 - 49 = 80

43 = 80 Incorrect 

 Option 4) +, –, ÷,×, =

57 + 35 - 7 ÷ 14 × 2 = 80

57 + 35 - 0.5 × 2 = 80

57 + 35 - 1 = 80

92 - 1 = 80

91 = 80 Incorrect 

Hence, the correct answer is  "–,÷,+,×, =".

The pattern followed by the given pairs is:

(Number)² : Number + 3

 Option 2) 4 : 5

 (Number)2 : Number + 3

 (2)² : 2 + 3 

4 : 5 

Option 3) 9 : 6

(Number)2 : Number + 3

(3)2 : 3 + 3 

9 : 6

Option 4) 36 : 9

(Number)2 : Number + 3

(6)2 : 6 + 3 

36 : 9  

But option 1) 16 : 8 does not follow the pattern:

 (Number)2 : Number + 3

(4)² : 4 + 3

6 : 7 , answer does not match the option. Therefore this is the odd pair.

Hence, the correct answer is "16 : 8".

According to the sequence in the English dictionary:

The correct order of the given words is:

1. Resolve
2. Resonant
3. Respond
4. Return
5. Rigidity 
6. Rodent

 Hence, the correct answer is "1, 3, 5, 4, 6, 2".

Given:

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

Hence, the correct answer is "Option 1".

The followed here is:

Here, we need to find the pattern used between the two numbers and see the odd one out from the given options.

Pattern: n : (n × (n+2) + 1)

First, we will check options one by one.

1) 53 ∶ 2916 

53 $×$ 55 + 1 = 2916

2) 41 ∶ 1765

41 $×$ 43 + 1 = 1764 $\ne$ 1765, this is the odd one out

3) 23 ∶ 576

23 $×$ 25 + 1 = 576

4) 19 ∶ 400

19 $×$ 21 + 1 = 400

Thus, the logic here is: Here, we need to add 2 to the 1^st term and then this new number is multiplied by the 1^st term and the answer is added by 1 to get the final answer.

Hence, the pair '41 : 1765' is the odd one.

Here, we are given the word and we need to find the mirror image of it.

First keep in mind that, in mirror image the first letter will be the last letter of the given word. Also, the size of the letters will not change i.e. capital letters will appear capital only.

Next, as we can see the given word ends with 5, so the mirror image will have 5 as the first number.

Again, number 5 is water image in option 2, so option 2 is eliminated. 

And, the letter r is water image in option 1 and 4, so options 1 and 4 are also eliminated.

Thus, we have only one option left i.e. option 3.

Hence, the mirror image of the given word is 'option 3'. 

Confusion Points

Keep in mind what is the difference between mirror image and water image.

The logic followed here is:

First we need to find the difference between the two consecutive numbers:

25 - 13 = 12, 38 - 25 = 13, 62 - 38 = 24, 88 - 62 = 26, 124 - 88 = 36, 163 - 124 = 39, 211 - 163 = 48

The pattern is:

25 = 13 + 12

38 = 25 + 13

62 = 38 + (12 $\times$ 2)

88 = 62 + (13 $\times$ 2)

124 = 88 + (12 $\times$ 3)

163 = 124 + (13 $\times$ 3)

211 = 163 + (12 $\times$ 4)

Thus, the missing number will be: 211 + (13 $\times$ 4) = 263

Hence, the missing number is 263.

Confusion Points

Make a point whenever we solve the pattern question, take out the difference and see we can find any pattern there and also take out the difference of the difference too in the next step, if needed.

Shortcut Trick Observe the pattern in the given series. If the numbers are increasing or decreasing exponentially go for multiplication otherwise go for addition.

The logic follows here is as:

Pattern: n : n² + 9

So, the pattern is Take the square of odd terms and then add 9 to the answer to get the final answer.

7 $\times$ 7 + 9 = 58,

12 $\times$ 12 + 9 = 153

Similarly, 

we will do: 370 - 9 = 361, which is a square of 19 number.

i.e. 19 $\times$ 19 + 9 = 370

Hence, the missing number is 19.

The logic here is:

Pattern: n : n × (n - 3)

Term 1:

⇒ 13 : 13 × (13 - 3) 

⇒ 13 : 13 × 10

⇒ 13 : 130

Term 2:

n : n × (n - 3)

⇒ 15 : 15 × (15 - 3) 

⇒ 15 : 15 × 12

⇒ 15 : 180

Term 3:

n : n × (n - 3)

⇒ 27 : 27 × (27 - 3) 

⇒ 27 : 27× 24

⇒ 27 : 648

Hence, the missing number is '648'.

Alternate Method

Each odd term is multiple of the even number.

Seeing the given options, we will divide each of the options numbers by 27.

We see that, the last option 648 divided by 27, we get a whole number.

Hence, the missing number is '648'.

The logic followed here is:

Each odd term is multiply by 5, to get the even term.

So, 

64 $\times$ 5 = 320,

22 $\times$ 5 = 110

Thus, we will divide 70 by 5, we will get 14.

Hence, the missing number is 14.

Here, the alphabets and their positions as shown below:

The logic follows here is as:

For the word RAIN:

(Criss cross the arrows while drawing the diagram.)

Next, for the word COAT:

So the pattern here is: We subtract each letter by 1 to get the code letter. Then at the end, write the final answer starting from the last letter of the coded letters.

Thus, for the word ROLE:

Hence, the code word for the word ROLE is 'DKNQ'.

Here, the alphabets and their positions as shown below:

The logic follows here is as:

For the word SITAR:

Next, for the word BANJO:

So, the pattern here is: Each letter is subtracted by 1 to get the coded answer.

Thus, for the word TABLA:

Hence, the word TABLA is coded as 'SZAKZ'.

The figure is given below:

The shaded portion is the embedded figure.

Hence, 'option 3' is the correct answer.

Family chart:

According to the statement:

 

The man is Rahul's great grandfather.

Hence, 'option 3' is the correct answer.

Given:

The bar-graph of the exports and imports (in crores of rupees) of five companies in a particular financial year is given.

Formula used:

Ratio of x to y = $\frac{x}{y}$

Calculation:

The following are the exports to imports ratios for the five companies.

For company A: $\frac{43}{51}=0.84$

For company B: $\frac{38}{32}=1.18$

For company C: $\frac{52}{56}=0.92$

For company D: $\frac{58}{52}=1.11$

For company E: $\frac{63}{65}=0.96$

∴ The ratio of exports to imports is highest in company B.

Given:

The average run scored by Sunil in 17 innings = 37.

Formula used: 

Average = $\frac{\text {sum of the all the observations}}{\text {total no. of observations}}$

Calculation:

Let Sunil's score in the 17^th inning be x.

His average until the 16^th inning was = 37 - 9 = 28.

Therefore, his total score after the 16^th inning = 16 × 28

⇒ 448

Then, after the 17^th inning,

⇒ $\frac{(16 × 28)+x}{17}$ = the average of 17^th inning

⇒ (16 × 28) + x = 37 × 17

⇒ 448 + x = 629

⇒ x = 629 - 448

⇒ x = 181

∴ Sunil scored 181 runs in the 17^th inning.

Shortcut Trick

By using the Alligation method, the ratio of Officers to Workers is the inverse ratio of their deviations from the combined average.

Difference (Officers − Combined Avg) = 78,000

Difference (Combined Avg − Workers) = 42,000

Ratio of Officers : Workers = 42,000 : 78,000 = 7 : 13

Percentage of Officers = [7 ÷ (7 + 13)] × 100 = (7 ÷ 20) × 100 = 35%

∴ The correct answer is 35%.

Alternate Method

Given:

Let the combined average salary of all employees be A.

Average salary of an Officer (O) = A + ₹78,000

Average salary of a Worker (W) = A − ₹42,000

Calculations:

⇒ Let the number of Officers be N_o and Workers be N_w.

⇒ Total Salary = N_o × (A + 78,000) + N_w × (A − 42,000)

⇒ Combined Average (A) = [N_o(A + 78,000) + N_w(A − 42,000)] ÷ (N_o + N_w)

⇒ A(N_o + N_w) = AN_o + 78,000N_o + AN_w − 42,000N_w

⇒ AN_o + AN_w = AN_o + 78,000N_o + AN_w − 42,000N_w

⇒ 42,000N_w = 78,000N_o

⇒ N_o ÷ N_w = 42,000 ÷ 78,000 = 7 ÷ 13

⇒ Total employees = 7 + 13 = 20 units

⇒ Percentage of Officers = (7 ÷ 20) × 100

⇒ Percentage of Officers = 35%

∴ The correct answer is 35%.

Additional Information

Alligation Rule

It is a rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price: (Quantity of Cheaper) ÷ (Quantity of Dearer) = (CP of Dearer − Mean Price) ÷ (Mean Price − CP of Cheaper).

Weighted Average Formula

The combined average of two groups is given by A_avg = (n₁x₁ + n₂x₂) ÷ (n₁ + n₂), where n is the number of items and x is the average value.

Ratio to Percentage

To convert the ratio a : b into the percentage of the first part, use the formula: [a ÷ (a + b)] × 100.

Given:

 α is an acute angle 

Formula used:

If α is an acute angle , then α < 90° 

sec² α = 1 + tan² α 

tanα = sinα/ cosα

sec α = 1/cosα 

CALCULATION:

Upon considering option ( 2) , we have: 

As, we know that secα = 1/cosα  

Hence, it cannot be equal to 1/sin α  

So, this value is not necessarily equal to the sec α

Considering option ( 1) ,we have:

As, we know sec α = 1/cosα

Hence, this is necessarily equal  to the value of sec α.

On considering option (3) , we have:

As, sec2 α = 1 + tan2 α 

⇒ Sec α = √1 + tan² α  

Hence, this is equal to the Sec α

On considering option ( 4), we have:

tan α/sin α    

⇒  tan α/sin α = (sin α/cos α) × (1/sin α)

⇒  tan α/sin α = 1/cos α 

⇒ 1/cos α = cos α       

Hence, this value is equal to the sec α. 

∴ 1/sin α is necessarily not equal to the sec α.

Shortcut Trick

Find the radius (r) from the circumference: r = 4π ÷ 2π = 2 cm.

The relationship between Volume (V) and Curved Surface Area (CSA) is V = (CSA × r) ÷ 2.

Substitute the values: V = (12π × 2) ÷ 2 = 12π cm³.

∴ The correct answer is 12π cm³.

Alternate Method

Given:

⇒ Curved Surface Area (CSA) of cylinder = 12π cm²

⇒ Circumference of the base = 4π cm

Formulas Used:

⇒ Circumference = 2πr

⇒ Curved Surface Area = 2πrh

⇒ Volume = πr²h

Calculations:

⇒ 2πr = 4π

⇒ r = 4π ÷ 2π = 2 cm

⇒ CSA = 2πrh = 12π

⇒ (2πr) × h = 12π

⇒ 4π × h = 12π

⇒ h = 12π ÷ 4π = 3 cm

⇒ Volume = π × r² × h

⇒ Volume = π × (2)² × 3

⇒ Volume = π × 4 × 3 = 12π cm³

∴ The correct answer is 12π cm³.

Additional Information

Total Surface Area (TSA) of Cylinder

The sum of curved surface area and the area of two circular bases: TSA = 2πr(h + r).

Volume and CSA Relation

The ratio of the volume to the curved surface area of a cylinder is always r ÷ 2.

Area of Base

The area of the circular base of a cylinder is calculated as πr².

Given:

Curved surface area of a cone = 4664 $cm^2$

radius = 28 cm

Formula used:

Curved surface area of cone = π × r × l

where l = slant height; r = radius

Calculation:

Curved surface area = 4664

⇒ π × r × l = 4664

⇒ 22/7 × 28 × l = 4664

⇒ l = 53 cm

∴ Slant height i.e. l is 53 cm.

Formula used:

Increased percentage = $\frac{(increased \space no. -original\space no.)}{original\space no.}$ × 100 

CALCULATION:

Increased percentage = $\frac{(63-36)}{36}$ × 100 

⇒  $\frac{27}{36}$ × 100 

⇒ 75%

∴ The required percentage is 75%.

Shortcut Trick

For two numbers a and b, the third proportion c is calculated as b² ÷ a.

Here, a = 16 and b = 24.

Third proportion = (24 × 24) ÷ 16

Third proportion = 576 ÷ 16 = 36.

∴ The correct answer is 36.

Alternate Method

Given: First number (a) = 16, Second number (b) = 24.

Formula Used: If a, b, and x are in continued proportion, then a : b :: b : x, where x is the third proportion.

Calculations:

⇒ 16 : 24 = 24 : x

⇒ 16 / 24 = 24 / x

⇒ 2 / 3 = 24 / x (Simplifying 16/24 by 8)

⇒ 2 × x = 24 × 3

⇒ 2x = 72

⇒ x = 72 / 2

⇒ x = 36

Comparing the result with the given options, we find that Option 3 matches the calculated value.

∴ The correct answer is 36.

Additional Information

Mean Proportion

The mean proportion between two numbers a and b is √(a × b).

Fourth Proportion

If four numbers a, b, c, and d are in proportion (a:b = c:d), then d is the fourth proportion, calculated as (b × c) ÷ a.

Continued Proportion

Three numbers a, b, c are in continued proportion if a : b = b : c, which implies b² = a × c.

Given:

(a + b) = 25 

Formula used:

(a - b)³ = a³ - b³ - 3ab (a - b)

Calculation:

a + b  = 25.

Now, this can be rewritten as a + b = 10 + 15 

⇒ ( a - 15 ) = ( 10 - b) 

From the question:

⇒ ( a -15)³ + ( b - 10)³ 

⇒ ( 10 - b)³ + ( b- 10)³  

⇒ 10³ - b³ - 30b × (10 -b) + b³ - 10³ - 30b × ( b- 10)     

⇒ -300 b +  30 b² -  30 b² + 300b = 0

∴ The value is equal to 0.

Given:

p³ + 3p² + 3p = 26  

Formula used:

( a + b)³ = a³ +b³ + 3ab ( a + b)  

Calculation:

p3 + 3p2 + 3p = 26  

Now add 1 to both the sides 

p3 + 3p2 + 3p + 1 = 26 + 1

This equation can be written as 

⇒ p³ + 1³ + 3p × 1 × (p + 1) = 27 

⇒(p + 1)³  = 3³

⇒ ( p +1)  = 3 

⇒ p  = 2

Now , p² + 2p =  ( 2² + 2 × 2 ) = 8

∴ The value is 8.

Shortcut Trick

According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Sum of interior opposite angles ∠B + ∠C = Exterior ∠BAP = 126°.

Ratio of ∠B : ∠C = 5 : 2.

Total units = 5 + 2 = 7 units ⇒ 126°.

1 unit = 126° ÷ 7 = 18°.

∠B = 5 × 18° = 90° and ∠C = 2 × 18° = 36°.

∴ The correct answer is 90° and 36°.

Alternate Method

Given: Exterior ∠BAP = 126° and ∠ABC : ∠ACB = 5 : 2.

Formula Used: Exterior angle = Sum of interior opposite angles.

Let ∠ABC = 5x and ∠ACB = 2x.

By the Exterior Angle Theorem in triangle ABC:

⇒ ∠ABC + ∠ACB = Exterior ∠BAP

⇒ 5x + 2x = 126°

⇒ 7x = 126°

⇒ x = 126° ÷ 7

⇒ x = 18°

Now, calculate the measure of each angle:

⇒ ∠B = 5x = 5 × 18° = 90°

⇒ ∠C = 2x = 2 × 18° = 36°

∴ The correct answer is 90° and 36°.

Additional Information

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote (opposite) interior angles.

Angle Sum Property

The sum of all interior angles of a triangle is always 180°. In this case, ∠A + ∠B + ∠C = 54° + 90° + 36° = 180°.

Linear Pair of Angles

Angles on a straight line add up to 180°. Here, interior ∠BAC + exterior ∠BAP = 180° ⇒ 54° + 126° = 180°.

Given:

The price of a watch is reduced to 20%

The number of watches sold has increased by 40%

Formula used:

effective percentage change =  x + y + (xy/100)

Calculation:

Since first it is reduced to 20% and then it has increased by 40%

Effective percentage  change = - x + y - (xy/100) 

⇒ -20 +40 - 800/100 =  +12

Here + sign shows an increase in the percentage

∴ The effect on sales in percentage is a 12% increase.

Given:

No. of tests per day per lakh in different countries

Formula used:

Average = sum of values / number of values × 100 

Calculation:

No. of tests per lakh in,

U.S.A =  14000

Spain = 12000

Italy = 18000

China = 16000

Sum = (14000 + 12000 +18000 + 16000)

⇒ Sum = 60,000

number of countries = 4 

⇒ Average = 60,000/4

⇒ 15,000

∴ The average number of tests per lakh in the four countries is 15,000

Given:

⇒ $\left[ \left( 5\frac{1}{2} \right)^2 \right.$ - $\left. \left( 2\frac{3}{4} \right)^2 \right]~$ ÷ $2\frac{3}{4}$.

Formula used :

BODMAS

Calculation:

⇒ $\left[ \left( 5\frac{1}{2} \right)^2 \right.$ - $\left. \left( 2\frac{3}{4} \right)^2 \right]~$ ÷ $2\frac{3}{4}$

⇒ [( 121/4 )-( 121/16 )]  ÷ 11/4

⇒ [(484 -121)/16 ] ÷ 11/4

⇒ [363 /16] ÷ 11/4

⇒ (363/16) × (4/11) =  33/4 = 8$\frac{1}{4}$

∴ The value is 8$\frac{1}{4}$.

Calculation:

Profit after tax for 2015 

Profit  for 2015 = (revenue - cost ) = (62 - 30) = 32 

Tax for 2015 = (tax rate × profit) = ( 15% × 32) = 4.8 

Hence, profit after tax for 2015 = ( profit for 2015 - tax for 2015)

⇒ (32 - 4.8) = 27.2

Profit after tax for 2016

Profit for 2016 = (75 - 35) = 40

tax for 2016 = (10% × 40) = 4

Hence, profit after tax for 2016 = (40 - 4) = 36

Profit after tax for 2017

Profit for 2017 = (84 -38) = 46

tax for 2017 = (15% × 46) = 6.9

Hence, profit after tax for 2017 = (46 -6.9) = 39.1

Profit after tax 2018

Profit for 2018 = (86- 40) = 46

tax for 2018 = (20% × 46)  = 9.2

Hence, profit after tax for 2018 = (46 -9.2) = 36.8

Profit after tax for 2019

Profit for 2019 = (90 -45) = 45

tax for 2019 = (25% × 45) = 11.25)

Hence, profit after tax for 2019 = (45 -11.25) = 33.75

Profit after tax for 2020

Profit for 2020 = (95- 50) = 45

tax for 2020 = ( 25% × 45 ) = 11.25

Hence, profit after tax for 2020 = (45 -11.25) = 33.75

Total sum of profit after tax from 2015 to 2020

⇒ (  27.2 +36+39.1 +36.8 +33.75 +33.75)= 206.6

The total sum of profit after tax = 206.6.

Given:

6 × {6 of ( 6+ 6)} ÷ {( 6 ÷ 6) × ( 600 % of 6)}

Formula used:

CALCULATION :

⇒ 6 × {6  of ( 6 + 6 ) } ÷ { ( 6 ÷ 6 ) × ( 600 % of 6 ) }

⇒ 6 × { 6 of 12} ÷ {1 × 36}

⇒ 6 × 72 ÷ 36

⇒ 6× 2 = 12.

∴ The correct answer is 12.

Given:

S.P of book = Rs.1,554

Discount = 26%

Formula used:

Discount percentage = $( marked \space price - selling \space price )\over marked \space price$ × 100

Discount = ( marked price - selling price )

CALCULATION :

⇒ $( marked \space price - selling \space price )\over marked \space price$ × 100 = Discount percentage

⇒ $( M.P. -1554)\over M.P.$ × 100 = 26

⇒ 100 M.P. - 155400 = 26 M.P.

⇒ 74 M.P. = 155400 

⇒ M.P. = Rs.2100  

∴  Marked price is Rs.2100

GIVEN:

Malay speed round a circular field = 7 rounds per hour.

Neha speed round a circular field = 11 rounds per hour

they start at 2:45 p.m. in the same direction. 

FORMULA USED:

Relative speeds when moving in the same direction = difference of speeds.

CALCULATION :

The relative speed between Malay and Neha =  11 - 7 = 4 rounds/h (as they are in the same direction )

Time taken to  complete one round at this speed = 1/4 hr

⇒ (1/4) × 60 min

⇒ 15 min.

So, 2:45 + 15 min = 3:00 p.m.

∴ They shall first  cross each other after 15 minutes i.e. at 03:00 p.m.

Shortcut Trick

Combined time for two people = (A × B) ÷ (A + B)

⇒ (96 × 104) ÷ (96 + 104)

⇒ 9984 ÷ 200

⇒ 49.92 days

∴ The correct answer is 49.92 days.

Alternate Method

Given:

Time taken by A = 96 days

Time taken by B = 104 days

Formula Used:

Total Work = LCM of individual days

Efficiency = Total Work ÷ Time

Calculations:

⇒ LCM of 96 and 104 = 1248 units (Total Work)

⇒ Efficiency of A = 1248 ÷ 96 = 13 units/day

⇒ Efficiency of B = 1248 ÷ 104 = 12 units/day

⇒ Combined Efficiency of A + B = 13 + 12 = 25 units/day

⇒ Time taken together = Total Work ÷ Combined Efficiency

⇒ Time = 1248 ÷ 25

⇒ Time = 49.92 days

∴ The correct answer is 49.92 days.

Additional Information

Work and Efficiency Relationship

Efficiency is inversely proportional to the time taken to complete a task. If the ratio of time is x : y, the ratio of efficiency is y : x.

Combined Work Formula

For three people A, B, and C, the combined time is (A × B × C) ÷ (AB + BC + CA).

Work and Wages

Wages are always distributed in the ratio of the Efficiency of the workers (or the ratio of work done), not the ratio of days taken.

GIVEN:

Earth rotates on its axis in 24 hours

CONCEPT USED:

Earth makes a complete rotation in 360°

CALCULATION:

24 hours = ( 24  × 60) minutes = 1440 minutes

⇒ 3 hours 30 minutes = ( 3 × 60 + 30 ) = 210 minutes

As,

⇒ 1440 minutes = 360° 

⇒ 1 minute = 360°/1440

⇒ 210 minutes = (360°/1440) × 210 = 52.5° 

∴ Earth rotate at 52.5 degree angle in 3 hours 30 minutes.

Shortcut Trick

For quarterly compounding over 9 months, we have 3 periods (9 ÷ 3) with a rate of 1% (4% ÷ 4).

Using the 3:3:1 ratio method for 3 periods:

1% of 20,000 = 200

1% of 200 = 2

1% of 2 = 0.02

Total Compound Interest = (3 × 200) + (3 × 2) + (1 × 0.02) = 600 + 6 + 0.02 = ₹606.02.

∴ The correct answer is ₹606.02.

Alternate Method

Given: Principal (P) = ₹20,000, Rate (R) = 4% per annum, Time = 9 months, Compounded Quarterly.

Formula Used: Amount (A) = P(1 + r/100)ⁿ; CI = A − P

⇒ Quarterly Rate (r) = 4% ÷ 4 = 1%

⇒ Number of quarters (n) = 9 ÷ 3 = 3

⇒ Amount (A) = 20000(1 + 1/100)³

⇒ A = 20000 × (1.01)³

⇒ A = 20000 × 1.030301

⇒ A = ₹20606.02

⇒ CI = 20606.02 − 20000 = ₹606.02

∴ The correct answer is ₹606.02.

Additional Information

Quarterly Compounding Formula

When interest is compounded quarterly, the formula becomes A = P[1 + (R/4)/100]⁴ⁿ, where R is the annual rate and n is the number of years.

Effective Annual Rate (EAR)

For a quarterly rate 'r', the EAR is given by [(1 + r/100)⁴ − 1] × 100. This represents the actual annual interest earned.

CI and SI Difference

The difference between CI and SI for 2 years is P(R/100)² and for 3 years is P(R/100)² × (3 + R/100).

Given:

Marked price = Rs 2,150

two successive discounts  = 10% and x%

Selling price = Rs1,505

Formula used:

S.P. = ( 1- d₁/100) × ( 1- d₂/100) × M.P     

(Where S.P. and M.P. are Selling price and Marked price respectively)

and d1 and d2 are successive discounts respectively.

Calculation:

⇒ S.P. = (1 - d1/100) × (1 - d2/100) × M.P.

⇒ 1,505 = (1 - 10/100) ×  (1 - x/100) × 2,150

⇒ (1 - x/100) = 1505 × 10/9 × 1/2150 

⇒ ( 1-x/100) =  0.77777

⇒ x/100 = ( 1 - 0.77777 ) =  0.22223

⇒ x = 100 × 0.22223 = 22.223% ≈ 22.22%

∴ The correct answer is 22.22%.

Given:

Principal amount = Rs80,000

Time = 3 years

Rate = 7% per annum

Formula used:

Amount = P  × $( 1 + R/100)^t$

Where C.I. = Compound Interest, P = Principal, R= Rate , t = time

Calculation:

Amount = P × $( 1 + R/100)^t$

⇒ Amount = 80,000 × $( 1+ 7/100)^3$  

⇒  Amount = 80,000 × 107/100 × 107/100 × 107/100

⇒  Amount = 0.08 × 1225043 =  Rs.98,003.44 ≈ 98,003

∴ Maturity value of FDR is Rs98,003.

Concept used:

The divisibility of 8 → last three digits must be divisible by 8.

The divisibility of 11 → sum of digits at odd places - sum of digits at even places must be either 0 or a multiple of 11

Calculation:

As, 5X8146Y is divisible by 88

Thus, it is divisible by 8 × 11

Divisibility of 8 , 

46Y must be divisible by 8 ,

Hence, Y = 4 as 464, is divisible by 8 

Now, the number becomes as, 5X81464

Divisibility of 11

⇒ (5 +8 +4 +4) - (X + 1 +6) 

⇒ 21 - (7 + X) = 14 - X 

Hence, on putting X = 3 ,we will get ( 14 -3) = 11 ,which is divisible by 11

⇒ X = 3.

∴ The correct answer is 3.

Shortcut Trick

Target profit units = 5 parts × 42% = 210%

Loss units from first part = 2 parts × (−10%) = −20%

Profit required from remaining 3 parts = 210% − (−20%) = 230%

Required gain % = 230% ÷ 3 = 76.66% ≈ 76.7%

∴ The correct option is A.

Alternate Method

Given:

Total Cost Price (CP) = ₹48,000

Overall Profit % = 42%

First portion = 2/5 of the land sold at 10% loss

Formula Used:

Selling Price (SP) = CP × (100 ± Profit/Loss%) ÷ 100

Gain % = (Profit ÷ CP) × 100

Total Land CP = ₹48,000

2/5 Part Loss 10% 3/5 Part Gain x%

Overall Target Profit = 42%

Calculations:

⇒ CP of 2/5 portion = 48,000 × (2 ÷ 5) = ₹19,200

⇒ SP of 2/5 portion at 10% loss = 19,200 × (90 ÷ 100) = ₹17,280

⇒ Desired overall SP for 42% profit = 48,000 × (142 ÷ 100) = ₹68,160

⇒ SP required from remaining 3/5 portion = 68,160 − 17,280 = ₹50,880

⇒ CP of remaining 3/5 portion = 48,000 − 19,200 = ₹28,800

⇒ Profit needed on remaining portion = 50,880 − 28,800 = ₹22,080

⇒ Required Gain % = (22,080 ÷ 28,800) × 100 = 76.666...%

⇒ Required Gain % ≈ 76.7%

∴ The correct option is A.

Additional Information

Weighted Average Profit

Overall profit or loss is the weighted average of individual profit/loss percentages: P_total = (w₁p₁ + w₂p₂) ÷ (w₁ + w₂).

Selling Price and Cost Price Relationship

SP = CP × (1 + Gain/100) for profit and SP = CP × (1 − Loss/100) for loss calculations.

Successive Percentage Changes

If a value changes by a% and then by b%, the net change is given by (a + b + ab ÷ 100)%.

The correct answer is Tansen of the 20^th century.

Key Points

• Ustad Bade Ghulam Ali Khan
• Indian Hindustani classical vocalist, from the Patiala Gharana.
• Patiala Gharana was founded in the mid to late 19^th century by his great-grandfather Mian Kallu.
• His pen name: Sabrang
• He was awarded by
• Sangeet Natak Akademi Award (1962)
• Sangeet Natak Akademi fellow (1967)
• Padma Bhushan Award (1962)

Additional Information

• Tansen
• Miyan Tan Sen or Ramtanu Pande was a prominent figure of Hindustani classical music.
• He brings down the rains with Raga Megh Malhar and lighting lamps by performing Raga Deepak.
• He was one of the navratna of Emperor Akbar.
• A crater on the planet Mercury has been named in his honour.

The correct answer is Triple jump.

Key Points

• Triple Jump
• Other Names: hop, step, and jump
• In this, an athlete makes a horizontal jump for distance incorporating three distinct, continuous movements.
• Movements are:
• ​hop: an athlete takes off and lands on the same foot,
• step: landing on the other foot,
• jump: landing in any manner, usually with both feet together. (If a jumper touches the ground with the wrong leg, the jump is disallowed).
• Modern Olympics event since the Games' inception in 1896.
• Current male world record holder: Jonathan Edwards of the United Kingdom (a jump of 18.29 m)
• Current female world record holder: Yulimar Rojas of Venezuela (a jump of 15.74 m).

Additional Information

• Javelin Throw
• Track and field event where the javelin, a spear about 2.5 m in length, is thrown.
• The javelin thrower gains momentum by running within a predetermined area.
• An event of both the men's decathlon and the women's heptathlon.
• The inventor of the modern javelin throwing technique is Eric Lemming from Sweden.
• High Jump
• Track and field event in which competitors must jump unaided over a horizontal bar placed at measured heights without dislodging it.
• Three types of high jump styles: the Fosbury flop, western roll or side roll, and straddle style.
• Broad Jump
• The standing long jump: standing broad jump, an athletics event.
• It was an Olympic event until 1912.
• One of three standing variants of track and field jumping events includes the standing high jump and standing triple jump.

The correct answer is Amit Shah.

Key Points

• Amit Shah
• Amit Anil Chandra Shah is an Indian politician currently serving as the Minister of Home Affairs.
• The first Minister of Co-operation of India.
• He served as the President of the Bharatiya Janata Party from 2014 to 2020.
• He has also served as chairman of the National Democratic Alliance since 2014.
• Bharat Darshan Park
• The South Delhi Municipal Corporation has developed a new park, Bharat Darshan, in the Punjabi Bagh area of west Delhi which has replicas of 21 famous structures from across the country.
• Almost 200 artists worked day and night for 22 months to complete the park.

Additional Information

• Dharmendra Pradhan 
• Indian politician serving as the Minister of Education and Minister of Skill Development and Entrepreneurship in the Government of India.
• He has also been the Minister of Petroleum & Natural Gas and Minister of Steel.
• He was promoted to Cabinet Minister on 3 September 2017.
• Nirmala Sitharaman
• Indian economist and politician serving as the Minister of Finance and Corporate Affairs of India since 2019.
• She is a member of the Rajya Sabha, the upper house of the Indian Parliament, since 2014.
• Smriti Irani
• Indian politician and a former television actress and producer.
• She is a Minister in the Union Cabinet of India since May 2019 currently administrating the Ministries of Women and Child Development and Ministry of Minority Affairs.