SSC CHSL Tier-1 2021: Official Paper (Held On : 6 June 2022 Shift 1) (Previous Year Paper)

The correct answer is: pull through

Key Points

• Let's look at the meaning of the given phrasal verbs.
• Pull over is a piece of clothing, made of warm material, that is worn on the top part of the body and put on by pulling it over your head. (कपड़े का एक टुकड़ा, गर्म सामग्री से बना है, जो शरीर के शीर्ष भाग पर पहना जाता है और इसे अपने सिर पर खींच कर रखा जाता है)
• Pull through means to get through an illness or other dangerous or difficult situation. (किसी बीमारी या अन्य खतरनाक या कठिन स्थिति से निकलने के लिए)
• Pull for means to say or show that one hopes for someone or something will succeed, get well, etc. (यह कहना या दिखाना कि कोई किसी के लिए आशा करता है या कुछ सफल होगा, ठीक हो जाओ)
• Pull against means to exert force on so as to remove; extract. (हटाने के लिए बल लगाना; निकालना)
• Pull at means to pull something quickly and usually repeatedly. (कुछ जल्दी और आमतौर पर बार-बार खींचने के लिए)
• The implied meaning of the given sentence is: Although he has a very terrible illness, he will recover.
• So, it is clear that the most appropriate option is "pull through"

Therefore, the correct answer is option 1.

Corrected sentence: His disease is no doubt very serious but he will pull through.

The correct answer is: mercenery

Key Points

• 'mercenery' is the incorrectly spelt word in the given sentence.
• The correc t spelling is "Mercenary.'
• Mercenary means interested only in the amount of money you can get from a situation. (किराये का)

Additional Information

• Shrines means a holy place for worship because of a connection with a holy person or object. (पूजा के लिए एक स्थान जो किसी पवित्र व्यक्ति या वस्तु के संबंध के कारण पवित्र हो)
• Deities mean a god or goddess. (देवता या देवी)
• Narrowest means of little breadth or width; not broad or wide. (थोड़ी चौड़ाई या चौड़ा नहीं)

Therefore, the correct answer is option 3, which is incorrectly spelt.

Corrected sentence: Kathmandu is vivid, mercenary, religious with small shrines to flower-adomed deities along the narrowest and busiest streets.

The correct answer is: Piling Up

Key Points

• Hoarding means the practice of collecting or accumulating something, such as money or food. (जमा करना)
• Marked option Piling up means to gather or be gathered in a pile; accumulate. (ढेर में इकट्ठा होना)
• Therefore, it is clear that the denotation of "hoarding" is "piling up"

Hence, the correct answer is option 4.

Additional Information

• Doling Out means to give or deliver in small portions. (छोटे हिस्से में देना)
• Designing means to create, fashion, execute, or construct according to plan. (योजना के अनुसार बनाना, फैशन करना, क्रियान्वित करना या निर्माण करना)
• Training Up means to study, practice, or exercise in order to prepare physically or mentally for some event, task, activity, etc. (किसी घटना, कार्य, गतिविधि आदि के लिए शारीरिक या मानसिक रूप से तैयार करने के लिए अध्ययन, अभ्यास या व्यायाम करना)

The correct answer is: Cupidity

Key Points 

• Greed means intense and selfish desire for something, especially wealth, power, or food. (किसी चीज की तीव्र और स्वार्थी इच्छा, विशेषकर धन, शक्ति या भोजन)
• Example - He was motivated by pure greed.
• Marked option Cupidity means greed for money or possessions. (धन या संपत्ति का लालच)
• Example - His eyes gave him away, shining with cupidity.
• It is clear that 'Greed' and 'Cupidity' are similar in meaning.

Therefore the correct answer is option 1.​

Additional Information 

• Stability means the state or quality of being stable. (स्थिर होने की अवस्था या गुण)
• Curiosity means a strong desire to know or learn something. (कुछ जानने या सीखने की तीव्र इच्छा)
• Reliability means the quality of being able to be trusted or believed because of working or behaving well. (काम करने या अच्छा व्यवहार करने के कारण भरोसेमंद होने या विश्वास करने में सक्षम होने का गुण)

The correct answer is: Instanteneous

Key Points

• The correct spelling should be "Instantaneous"
• Instantaneous means occurring or done instantly. (घटित या तुरंत किया हुआ)

Therefore, the correct answer is option 1, which is incorrectly spelt.

Additional Information

• Presumptuous means showing little respect for others by doing things they have no right to do. (ऐसे काम करके दूसरों के लिए बहुत कम सम्मान दिखाते हैं जिन्हें करने का उन्हें कोई अधिकार नहीं है)
• Illegitimate means not authorized by the law; or not in accordance with accepted standards or rules. (कानून द्वारा अधिकृत नहीं; स्वीकृत मानकों या नियमों के अनुसार नहीं)
• Lascivious means feeling or revealing an overt sexual interest or desire. (एक स्पष्ट यौन रुचि या इच्छा को महसूस करना या प्रकट करना)

The erroneous part of the sentence is: The mother loving looked

Key Points

• Replace "loving" with "lovingly" to correct the sentence.
• Adding -ly to the verb makes it an adverb.
• An adverb is a word or phrase that modifies or qualifies an adjective, verb, or other adverb or a word group, expressing a relation of place, time, circumstance, manner, cause, degree, etc.
• Lovingly means with love or great care.
• Example - They smile lovingly at each other.
• Love is a noun, which means an intense feeling of deep affection.
• Loving is an adjective that means feeling or showing love or great care. It is used in continuous tenses.
• Adjectives describe or modify nouns and limit or restrict the meaning of nouns and pronouns.
• The implied meaning of the sentence is: As the nurse brought the infant in, the mother gave her a kind gaze.
• So, an adverb should be used here.

Therefore, the correct answer is option 1.

Corrected sentence: The mother lovingly looked at her baby as the nurse brought her in.

The correct answer is: flex, migrant, weather

Key Points

• Let's look at the meaning of the given words.
• Option 1 :
• Retreat means an act of moving back or withdrawing. (पीछे हटने की क्रिया)
• Native means a person born in a specified place or associated with a place by birth. (देशी)
• Food means something that people and animals eat, or plants absorb, to keep them alive. (भोजन)
• ​Option 2 :
• Flex means an act or instance of flexing or bending. (ठोके या झुकने की क्रिया या उदाहरण)
• Migrant means a person who moves from one place to another, especially in order to find work or better living conditions. (प्रवासी)
• Weather means the state of the atmosphere with respect to wind, temperature, cloudiness, moisture, pressure, etc. (मौसम)
• ​Option 3 :
• Curtail means to reduce or limit something, or to stop something before it is finished. (कम करना)
• Local means relating or restricted to a particular area or one's neighbourhood. (स्थानीय)
• Destination means the place to which someone or something is going or being sent. (गंतव्य)
• ​Option 4 :
• Demolish means to completely destroy buildings or other structures. (धूल में मिलाना)
• Foreign means belonging or connected to a country that is not your own. (विदेशी)
• Tourism means the commercial organization and operation of holidays and visits to places of interest. (पर्यटन)

Therefore, as per the meaning of the above words option 2 is the most appropriate option to fill in the blanks.

Complete sentence: Growing up in Bengaluru, I have watched the city grow and flex at its seams, welcoming, as its own, all the migrant population in search of jobs and pleasant weather.

The correct answer is: Concise

Key Points 

• Laconic means using very few words to express what you mean. (अपने मतलब को व्यक्त करने के लिए बहुत कम शब्दों का उपयोग करना)
• Example - His laconic reply suggested a lack of interest in the topic.
• Marked option Concise means giving a lot of information clearly and in a few words; brief but comprehensive. (संक्षिप्त लेकिन व्यापक)
• Example - She wrote up a concise summary of the day's events.
• It is clear that 'Laconic' and 'Concise' are similar in meaning.

Therefore the correct answer is option 4.​

Additional Information 

• Exaggerated means regarded or represented as larger, better, or worse than in reality. (वास्तविकता की तुलना में बड़ा, बेहतर या बुरा माना जाता है या उसका प्रतिनिधित्व किया जाता है)
• Lengthy means having or being of great length; very long. (बड़ी लंबाई का होना या होना; बहुत लम्बा)
• Talkative means fond of or given to talking. (बातूनी)

The correct answer is: Anarchy

Key Points 

• Anarchy means a state of disorder due to the absence or non-recognition of authority or other controlling systems. (अराजकता)
• So, it is clear that 'Anarchy' can be used as a one-word substitute for 'situation of no organization and control due to the lack of an effective government'

Therefore, the correct answer is option 3.

Additional Information 

• Autocracy means a system of government by one person with absolute power. (एकतंत्र)
• Autonomy means the right or condition of self-government. (स्वयं शासन)
• Aristocracy means the highest class in certain societies, typically comprising people of noble birth holding hereditary titles and offices. (अभिजात वर्ग)

The correct answer is: Comfort

Key Points 

• Annoy means to make someone a little angry; irritate. (किसी को थोड़ा गुस्सा करना; चिढ़ना)
• Example - The decision really annoyed him.
• Marked option Comfort means a state of physical ease and freedom from pain or constraint. (शारीरिक आराम और दर्द या बाधा से मुक्ति की स्थिति)
• Example - There is room for four people to travel in comfort.
• It is clear that 'Annoy' and 'Comfort' are opposite in meaning.

Therefore the correct answer is option 1.​

Additional Information 

• Miff means to put into an ill humor : offend. (मज़ाक उड़ाना : ठेस पहुँचाना)
• Get means to come into the state of having. (होने की स्थिति में आना)
• Ruffle means to make someone upset or nervous or reduce someone's confidence. (किसी को परेशान या परेशान करना या किसी का आत्मविश्वास कम करना)

The correct answer is: frightened me

Key Points 

• The idiom "to make my flesh crawl" means to make someone feel disgusted, afraid, etc. (किसी को घृणा, भय आदि महसूस कराना)
• Example - The memory of all that blood was enough to make my flesh crawl.
• So, it is clear that the most appropriate meaning of the given idiom "to make my flesh crawl" is "frightened me"

Hence, the correct answer is option 1.

The correct answer is: heavily

Key Points

• Replace "the heaviest" with "heavily" to correct the sentence.
• "heaviest" is the superlative degree of "heavy"
• Heaviest means of great weight; difficult to lift or move.
• Heavily(adverb) means to a great degree; in large amounts.
• An adverb is a word that describes or modifies verbs, adjectives, clauses, and other adverbs.
• Here, the verb "raining" is already mentioned.
• So, in the given sentence "heavily" should be used because it is defining the condition of rain.

Therefore, the correct answer is option 1, that can substitute the underlined segment in the given sentence.

Corrected sentence: When we reached the hill station, it was raining heavily.

The correct answer is: Penchant

Key Points 

• Penchant means a strong or habitual liking for something or tendency to do something. (किसी चीज के लिए प्रबल या अभ्यस्त पसंद या कुछ करने की प्रवृत्ति)
• So, it is clear that 'Penchant' can be used as a one-word substitute for 'Strong taste or liking for something'

Therefore, the correct answer is option 4.

Additional Information 

• Insolvent means unable to pay debts owed. (बकाया कर्ज चुकाने में असमर्थ)
• Parole means permission for a prisoner to be released before their period in prison is finished, with the agreement that they will behave well. (जेल में उनकी अवधि समाप्त होने से पहले एक कैदी को रिहा करने की अनुमति)
• Ebullient means cheerful and full of energy. (हंसमुख और ऊर्जा से भरपूर)

The correct answer is: Start entirely from the beginning 

Key Points

• The idiom "Start from scratch" means to begin from a point at which nothing has been done yet. (शुरुआत से शुरू करें)
• Example - Nothing like this had ever been done before, so we had to start from scratch.
• So, it is clear that the most appropriate meaning of the given idiom "Start from scratch" is "Start entirely from the beginning"

Hence, the correct answer is option 4.

The correct answer is: Modest

Key Points 

• Vain means having or showing undue or excessive pride in one's appearance or achievements. (किसी की उपस्थिति या उपलब्धियों में अनुचित या अत्यधिक गर्व होना या दिखाना)
• Example - Their flattery made him vain.
• Marked option Modest means having a limited and not overly high opinion of oneself and one's abilities. (अपने और अपनी क्षमताओं के बारे में एक सीमित और अत्यधिक उच्च राय नहीं होना)
• Example - He was a very modest man, refusing to take any credit for the enterprise.
• It is clear that 'Vain' and 'Modest' are opposite in meaning.

Therefore the correct answer is option 2.​

Additional Information 

• Loyal means giving or showing firm and constant support or allegiance to a person or institution. (किसी व्यक्ति या संस्था को दृढ़ और निरंतर समर्थन या निष्ठा देना या दिखाना)
• Unfair means not morally right, or not treating people in an equal way. (नैतिक रूप से सही नहीं, या लोगों के साथ समान व्यवहार नहीं करना)
• Energetic means showing or involving great activity or vitality. (महान गतिविधि या जीवन शक्ति दिखाना या शामिल करना)

The correct answer is: Where can the way to the library be found?

Key Points 

• The given sentence is in the active form and in the interrogative sentence and we need to change it into the passive form.
• The Interrogative sentence in the active voice has the following form: Wh word+ modal verb + doer + main verb + object +?
• The Interrogative sentence in the passive voice has the following form: Wh word + modal verb+ object + be verb + V3 + by + doer +?
• Example - 
• Active voice - What kind of change would you suggest?
• Passive voice - What kind of change would be suggested by you?
• Rules of Conversion from Passive to Active Voice:
• Identify the subject, the verb, and the object.
• Change the object into the subject.
• Change the verb into the past participle form of the verb.
• Change the subject into an object.

​Therefore, the correct answer is option 3.

Correct Passive Voice: Where can the way to the library be found?

The correct answer is: didn't eat

Key Points

• Replace "ate" with "eat" to correct the sentence.
• Ate is the second form of the verb "eat"
• "Didn't" is used with 1^st person, 2^nd person and 3^rd person plural subjects. (I/You/They)
• "Doesn't" is used with 3^rd person singular subjects. (He/She/It)
• "Hadn't" is used in the past perfect tense to show the order of two past events.
• The given sentence is written in simple past tense and in negative form.
• The structure should be: Subject + didnot+ v1+ object
• So, the first form of the verb "eat" should be used here.

Therefore, the correct answer is option 3.

Corrected sentence: They didn't eat anything yesterday.

The correct answer is: This novel was written by Premchand.

Key Points 

• The given sentence is in the active form and in the simple past tense and we need to change it to the passive form.
• The simple past tense in the active voice has the following form: Subject + V2 + object
• The simple past tense in the passive voice has the following form: Object+ was/were + V3+ by + subject
• Active: Rohit called his friends.
• Passive: His friends were called by Rohit.
• Rules of Conversion from Active to Passive Voice:
• Identify the subject, the verb, and the object.
• Change the object into the subject.
• Change the verb into the past participle form of the verb.
• Change the subject into an object.

​Therefore, the correct answer is option 3.

Correct passive Voice: This novel was written by Premchand.

The correct answer is "ADCB"

Key Points 

• Let's look at the correct sequence of the passage.
• Statement A is the opening sentence of the passage which explains that the celebration of colours known as Holi is observed worldwide, not just in India.
• Statement D is the second sentence of the passage which explains that as it brings people together to enjoy a celebration regardless of caste, nationality, or religion, it is also a festival of togetherness.
• Statement C is the third sentence of the passage which explains on the first day, people assemble to celebrate "Holika Dahan," in which they chant bhajans about Holi while burning stacks of cow dung and wood.
• Statement B is the last sentence of the passage which shows that then, on the following day, people of all ages congregate to play with "gulal," or coloured paint, and "Dulahandi," or coloured water.

Hence, the correct sequence is A, D, C, B

The correct answer is option 1.

The correct passage is: A. Holi is the festival of colours which is celebrated not only in India but all cross the world. D. It is also a festival of unity as it brings people together to celebrate a festivals regardless of caste, ethnicity, or religion. C. People celebrate 'Holika Dahan' on the first day by gathering around and burning piles of wood and cow dung and singing bhajans related to Holi. B. Then on the next day, people of all ages gather together to play with colours called 'gulal' and coloured water called 'Dulahandi'.

The correct answer is: Magnificent

Key Points 

• Resplendent means attractive and impressive through being richly colourful or sumptuous. (समृद्ध रूप से रंगीन या वैभवशाली होने के माध्यम से आकर्षक और प्रभावशाली)
• Example - She was resplendent in a sea-green dress.
• Marked option Magnificent means extremely beautiful, elaborate, or impressive. (अत्यंत सुंदर, विस्तृत या प्रभावशाली)
• Example - A dramatic landscape of magnificent mountains.
• It is clear that 'Resplendent' and 'Magnificent' are similar in meaning.

Therefore the correct answer is option 1.​

Additional Information 

• Astonished means greatly surprised or impressed; amazed. (बहुत हैरान या प्रभावित; चकित)
• Enthusiastic means having or showing intense and eager enjoyment, interest, or approval. (तीव्र और उत्सुक आनंद, रुचि या अनुमोदन होना या दिखाना)
• Exuberant means full of energy, excitement, and cheerfulness. (ऊर्जा, उत्साह और उत्साह से भरा हुआ)

The correct answer is: chatter

Key Points

• Let's look at the meaning of the given words.
• Chatter means talking informally about unimportant matters. (महत्वहीन मामलों के बारे में अनौपचारिक रूप से बात करें)
• Fritter means to waste time, money, or energy on trifling matters. (तुच्छ मामलों पर समय, पैसा या ऊर्जा बर्बाद करना)
• Rattle means to make or cause to make a rapid succession of short, sharp knocking sounds. (छोटी, तेज खटखट की आवाजों का तेजी से उत्तराधिकार बनाना या बनाना)
• Patter means making a repeated light tapping sound. (बार-बार हल्की टैपिंग ध्वनि करें)
• The implied meaning of the sentence is: The conversation ended as our host began to read.
• So, as per the meaning of the given words, "chatter" should be used in the given sentence.

Therefore, the correct answer is option 1.

Complete passage: Our host started to read and the (1) chatter stopped. There was a sweet (2)_______ as each person read, not one that felt forced or imposed in any way. People did not seem to (3)_______ or cough, but perhaps that is just now I remember it now, I know I was increasingly self-conscious as the readings came closer to me and that when it was my turn I think I (4)________ through most of it, probably without making any sense of the (5)_________.

The correct answer is: silence

Key Points

• Let's look at the meaning of the given words.
• Chaos means complete disorder and confusion. (पूर्ण विकार और भ्रम)
• Silence means the complete absence of sound. (ध्वनि की पूर्ण अनुपस्थिति)
• Din means a loud, unpleasant, and prolonged noise. (एक तेज, अप्रिय और लंबे समय तक चलने वाला शोर)
• Noise means a sound, especially one that is loud or unpleasant or that causes disturbance. (एक ध्वनि, विशेष रूप से एक जो जोर से या अप्रिय है या जो गड़बड़ी का कारण बनती है)
• The implied meaning of the sentence is: Each individual read aloud in a wonderful stillness that didn't feel forced or pressured in any way.
• So, as per the meaning of the given words, "silence" should be used in the given sentence.

Therefore, the correct answer is option 2.

Complete passage: Our host started to read and the (1) chatter stopped. There was a sweet (2) silence as each person read, not one that felt forced or imposed in any way. People did not seem to (3)_______ or cough, but perhaps that is just now I remember it now, I know I was increasingly self-conscious as the readings came closer to me and that when it was my turn I think I (4)________ through most of it, probably without making any sense of the (5)_________.

The correct answer is: fidget

Key Points

• Let's look at the meaning of the given words.
• Sleep means the resting state in which the body is not active and the mind is unconscious. (नींद)
• Sing means making musical sounds with the voice, especially words with a set tune. (गाना)
• Fidget means make small movements, especially of the hands and feet, through nervousness or impatience. (घबराहट या अधीरता के माध्यम से, विशेष रूप से हाथों और पैरों की छोटी-छोटी हरकतें करें)
• Distract means to take someone's attention away from what that person is doing or should be doing. (किसी का ध्यान इस बात से हटाना कि वह व्यक्ति क्या कर रहा है या उसे क्या करना चाहिए)
• The implied meaning of the sentence is: No one seemed to squirm or cough, but maybe I'm only remembering it now...
• So, as per the meaning of the given words, "fidget" should be used in the given sentence.

Therefore, the correct answer is option 3.

Complete passage: Our host started to read and the (1) chatter stopped. There was a sweet (2) silence as each person read, not one that felt forced or imposed in any way. People did not seem to (3) fidget or cough, but perhaps that is just now I remember it now, I know I was increasingly self-conscious as the readings came closer to me and that when it was my turn I think I (4)________ through most of it, probably without making any sense of the (5)_________.

The correct answer is: mumbled

Key Points

• Let's look at the meaning of the given words.
• Played means engaging in an activity for enjoyment and recreation rather than a serious or practical purpose. (खेला)
• Mumbled means to say something indistinctly and quietly, making it difficult for others to hear. (अस्पष्ट बोलना)
• Grumbled means complain about something in a bad-tempered way. (किसी बात की बदतमीजी से शिकायत करना)
• Dozed means to have a short period of sleep, especially during the day. (नींद की थोड़ी अवधि लें, खासकर दिन के दौरान)
• The implied meaning of the sentence is: I believe that I stammered through much of it when it was my turn.
• So, as per the meaning of the given words, "mumbled" should be used in the given sentence.

Therefore, the correct answer is option 2.

Complete passage: Our host started to read and the (1) chatter stopped. There was a sweet (2) silence as each person read, not one that felt forced or imposed in any way. People did not seem to (3) fidget or cough, but perhaps that is just now I remember it now, I know I was increasingly self-conscious as the readings came closer to me and that when it was my turn I think I (4) mumbled through most of it, probably without making any sense of the (5)_________.

The correct answer is: poetry

Key Points

• Let's look at the definition of the given words.
• Poetry is a form of literature that uses aesthetic and often rhythmic qualities of language. (कविता)
• Music is the art of arranging sound to create some combination of form, harmony, melody, rhythm, or otherwise expressive content. (संगीत)
• Dance means to move the body and feet in rhythm to the music. (नृत्य)
• Pottery means the activity or skill of making clay objects by hand. (मिट्टी के बर्तनों)
• So, as per the definition of the given words, "poetry" should be used in the given sentence.

Therefore, the correct answer is option 1.

Complete passage: Our host started to read and the (1) chatter stopped. There was a sweet (2) silence as each person read, not one that felt forced or imposed in any way. People did not seem to (3) fidget or cough, but perhaps that is just now I remember it now, I know I was increasingly self-conscious as the readings came closer to me and that when it was my turn I think I (4) mumbled through most of it, probably without making any sense of the (5) poetry.

The mirror image of given combination is:

On comparing each option with the mirror combination we get:

Option 1)

This option is the inverted image. Therefore it is wrong

Option 2)

Here both the 'y' are not in mirror image. Therefore it is wrong

Option 3)

This option matches with the mirror combination. 

Option 4)

In this option the 'y' are rotated upside down. Thus this option is wrong.

Hence the correct answer is option 3)

The answer is option 4)

SOLUTION:

The mirror image of the given combination is:

On comparing the mirror combination with the given options, we get:

Option 1)

In the option the characters are misplaced. So the option is wrong

Option 2)

Here the combination is upside down and not mirrored. Also, the characters are misplaced Therefore it is wrong

Option 3)

In this option the combination is mirrored but also turned upside down. So it is wrong

Option 4)

This option is same as the mirror combination.

Hence the correct answer is option 4)

The pattern in the given series is:

Hence the correct answer is 267.

Alternate Method 

Hence the correct answer is 267.

Least possible Venn diagram from the given statements can be drawn as:

**I. Some rhombuses are rectangles → True (**As all decagons are rhombuses and some rectangles are decagon. Therefore some rectangles are rhombuses, which can be stated as some rhombuses are rectangles. So, the conclusion follow.)

II. Some rhombuses are hexagons → False (As it is possible but not definite. Therefore the conclusion does not follow.)

III. Some decagons are hexagons → False (As it is possible but not definite. Thus the conclusion does not follow.)

Hence the correct answer is only conclusion I follow.

From the given information we have:

Step 1: My wife's son

Son of Harsh's wife is son of Harsh.

Step 2: Father of her mother's daughter.

Father of her mother's daughter = His own daughter.

So the final diagram is:

The lady is Harsh's granddaughter i.e. Son's daughter.

Hence the correct answer is option 2).

The pattern followed in the given series is:

Hence the correct answer is MVOA.

The pattern followed in the given series is:

RATE becomes UDWH

RICH becomes ULFK

Similarly,

SAVE becomes VDYH

Hence the correct answer is VDYH.

We have:

10 triangles which are numbered.

So now,

Total triangles = 10 + 8 = 18 

Hence the correct answer is 18.

The logical and meaningful order of the given words is:

3- Seed : We sow a seed.

4- Plant : Seed becomes a plant. 

2- Fruit : Fruit grows on a plant.

4- Pluck : We pluck the grown plant.

1- Eat : we eat the plucked plant.

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

Given:

Goldsmith : Jewellery :: Cobbler : ?

Here, Goldsmith is the one who works with Jewellery.

Similarly, Cobbler is the one who works with shoes.

Hence the correct answer is shoes.

Let's apply each option into the given equation:

71 * 56 * 14 * 15 * 5

Option 1) +, ÷, =, ×

71 + 56 ÷ 14 = 15 × 5

71 + 4 = 15 × 5

71 + 4 = 75

75 = 75

LHS = RHS

Option 2) ×, =, -, +

71 × 56 = 14 - 15 + 5

3976 = 14 - 15 + 5

3976 = 19 - 15

3976 ≠ 4 

LHS ≠ RHS

Option 3)+, -, =, ​×

71 + 56 - 14 = 15 × 5

71 + 56 - 14 = 75 

127 - 14 = 75

113 ≠ 75

LHS ≠ RHS

Option 4) =, -, ÷, ​×

71 = 56 - 14 ÷ 15 ​× 5

71 = 56 - 0.93 ​× 5

71 = 56 - 4.6

71 ≠ 51.4

LHS ≠ RHS

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

The pattern in the given series is:

So the multiples of 3 in the second term for each row are:

First row : 81 = 3 × 27

Second row : 57 = 3 × 19 

Third row : 45 = 3 × 15 

Now on applying the pattern on each row, we get:

First row - 19, 81, 30

(19 × 3) - 27 = 30 

57 - 27 = 30 

30 = 30 

LHS = RHS

Second row - 42, 57, 107

(42 × 3) - 19 = 107

126 - 19 = 107

107 = 107 

LHS = RHS

Third row - 23, 45, ?

(23 × 3) - 15 = Third term

69 - 15 = Third term

54 = Third term 

Hence the correct answer is 54.

The pattern followed in the given series is:

• First and fourth letters are interchanged

LEAN becomes NEAL

MEAN becomes NEAM 

HEAR becomes REAH 

Hence the correct answer is REAH.

Let's apply each option on the given equation:

15 * 2 * 18 * 6 * 3 * 30

Option 1) ×, +, ÷, -, =

15 × 2 + 18 ÷ 6 - 3 = 30

15 × 2 + 3 - 3 = 30

30 + 3 - 3 = 30 

33 - 3 = 30 

30 = 30 

LHS = RHS

Option 2) ​×, +, -, ÷, =

15 × 2 + 18 - 6 ÷ 3 = 30

15 × 2 + 18 - 2 = 30

30 + 18 - 2 = 30

48 - 2 = 30 

46 ≠ 30 

LHS ≠ RHS

Option 2) ​+, ÷, -, ​×, =

15 + 2 ÷ 18 - 6 × 3 = 30

15 + 0.1 - 6 × 3 = 30

15 + 0.1 - 18 = 30

15.1 - 18 = 30 

-2.9 ≠ 30 

LHS ≠ RHS

Option 4)÷, -, ​×, +, =

15 ÷ 2 - 18 ​× 6 + 3 = 30

7.5 - 18 ​× 6 + 3 = 30

7.5 - 108 + 3 = 30

10.5 - 108 = 30 

-97.5 ≠ 30 

LHS ≠ RHS

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

The mirror image of the given combination is:

On comparing the mirror combination with the given options, we get:

Option 1)

In the option the characters 'm' and 'N' are inverted and not mirrored. So the option is wrong.

Option 2)

Here the combination is upside down and inverted but not mirrored. Therefore it is wrong.

Option 3)

In this option the combination is also turned upside down. So it is wrong

Option 4)

This option is same as the mirror combination.

Hence the correct answer is option 4)

The given equation is:

(81 N 27) O 4 M 21 P 72 P 3 M 3 O 9 = ?

We have:

Now the equation becomes:

(81 ÷ 27) × 4 - 21 + 72 + 3 - 3 × 9 = ?

3 × 4 - 21 + 72 + 3 - 3 × 9 = ?

12 - 21 + 72 + 3 - 27 = ?

87 - 21 - 27 = ?

87 - 48 = ?

39 = Answer

Hence, the correct answer is 39.

Let's apply each option into the given equation:

 19 * 4 * 44 * 59 * 61

Option 1) +, -, =, ×

19 + 4 - 44 = 59 × 61

19 + 4 - 44 = 3599 

23 - 44 = 3599 

-21 ≠ 3599 

LHS ≠ RHS

Option 2) ×, +, -, =

19 × 4 + 44 - 59 = 61

76 + 44 - 59 = 61 

120 - 59 = 61

61 = 61

LHS = RHS

Option 3)+, ×, -, =

19 + 4 × 44 - 59 = 61

19 + 176 - 59 = 61 

195 - 59 = 61

136 ≠ 61

LHS ≠ RHS

Option 4) -, =, ×, +

19 - 4 = 44 × 59 + 61

19 - 4 = 2596 + 61

19 - 4 = 2657

15 ≠ 2657

LHS ≠ RHS

Hence the correct answer is option 2)

The logic followed here is:

Hence the correct answer is 11.

Given: _T Z S S T _ Y S S T T _S S _ T W _ S

We consider each option:

1) T X T T S - T T Z S S  - T X Y S S  -  T T T S S  - T T W S S

2) X T X T T - X T Z S S  -  T T Y S S  - T T X S S -  T T W T S

3) T T X T S - T T Z S S -  T T Y S S  - T T X S S -  T T W S S

• Z is shifting one preceding letter.

4) T S X T S - T T Z S S - T S Y S S -  T T X S S  - T T W S S

The pattern 'T T _ S S' is followed in option 3)

Hence **the correct answer '**T T X T S'.

Lets see the series in the given question series,

5 : 33 :: 11 : 141 :: 7 : ?

Lets see the applied logic in each pair,

first number in a given pair is multiplied by the next odd number of series and then subtracted by 2.

lets see the pairs and apply the same logic,

i) 5 : 33

5 × 7 = 35

35 - 2 = 33

ii)  11 : 141​

11 × 13 = 143

143 - 2 = 141

iii) 7 : ?

7 × 9 = 63

63 - 2 = 61

Thus, 61 is the correct answer of the given series.

Lets see the number of sets given:

(17,13,68)

now considering the first number given in the pair as the reference to other numbers,

17 - 13 = 4

17 × 4 = 68

thus first you have to subtract the number with the middle number and multiply the obtained number with the first number which will result into the third number of the given pair

Now, lets apply the same logic for the next pair,

(55, 46, 495)

55 - 46 = 9

55 × 9 = 495

Thus, lets apply the same for the given options,

Option1): (75,69,470)

75 - 69 = 6

75 × 6 = 450

This does not follow the logic.

Option 2) (45,39,270)

45 - 39 = 6

45 × 6 = 270

Thus this FOLLOWS the same logic.

Option 3)(65,59,360)

65-59=6

65×6=390

This does not follow the logic.

Option 4)(55,49,310)

55 - 49 = 6

55 × 6 = 330

This does not follow the logic.

Hence, the correct answer is (45,39,270)

The logic followed here is:

Second number = (First number)² × 6 + 2 

6 : 218 → (6² × 6) + 2 = 216 + 2 = 218

3 : 56 → (3² × 6) + 2 = 54 + 2 = 56

Similarly,

5 : ? → (5² × 6) + 2 = 150 + 2 = 152

Hence, 152 is the correct answer.

Alternate Method (1^st number + 1)³ - (1^st number - 1)3

for, 6 : 218

(6 + 1)3 - (6 - 1)3

⇒ 7³ - 5³

⇒ 343 - 125 = 218.

for, 3 : 56

(3 + 1)3 - (3 - 1)3

⇒ 43 - 23

⇒ 64 - 8 = 56.

Similarly, for 5 : ?

(5 + 1)3 - (5 - 1)3

⇒ 63 - 43

⇒ 216 - 64 = 152.

Hence, 152 is the correct answer.

We unfold the paper step by step:

Now we consider the given options:

Option 1) There are 2 extra lines used in the figure so it is incorrect.

Option 2) The pattern matches completely.

Option 3) The pattern is partially correct, lower half is wrong.

Option 4) The pattern is partially correct, upper half is wrong.

Hence the correct answer is option 2)

The logic followed here is:

First number = (Second number)^1/3 - 1 

7 : 512 → (512)^1/3 - 1 = 8 - 1 = 7

15 : 4096 → (4096)1/3 - 1 = 16 - 1 = 15

Similarly,

 ? : 2744 → (2744)1/3 - 1 = 14 - 1 = 13

Hence, option 4) is the correct answer.

The pattern followed in the given codes is:

 All the letter are arranged in backwards order such that,

• First letter is placed at 6^th
• Second letter is placed at 5^th
• Third letter is placed at 4^th
• Fourth letter is placed at 3^rd
• Fifth letter is placed at 2^nd
• **Sixth letter is placed at 1^st**​

Similarly,

Hence the correct answer is option 2)

Given:

Percentage of votes got by losing candidates = 20%

Number of votes by which losing candidate lost = 600 votes

Concept used:

Total number of votes = Number of votes secured by A + Number of votes secured by B

Calculation:

Let the total number of votes be x.

Number of votes losing candidate got = x × (20/100)

⇒ 0.20x

Number of votes winning candidate got = 0.20x + 600

Then, Total number of votes = 0.20x + 0.20x + 600 = x

⇒ 0.40x + 600 = x

⇒ x – 0.40x = 600

⇒ 0.60x = 600

⇒ x = 1000

∴ The total number of votes is 1000.

Alternate Method

Let the total vote be 100%.

The winner received 80% of the total votes. 

The Loser received 20% of the total votes. 

Difference = 80% - 20% = 60%

Value of 60% ≡ 600

⇒ 100% ≡ 1000

∴ The total number of votes is 1000.

Given 

61, 51, 41, 31, 21 and 11

Formula used

Average = Sum of observations/Number of observations

Calculation 

Average

= Sum of observations/Number of observations 

= (61 + 51 + 41 + 31 + 21 + 11)/6

= 216/6

= 36

∴ The required average is 36.

Given:

Number of days taken by 20 workers to paint 24 walls = 36 days

Concept used:

If someone completes work in X days

∴ Work done in 1 day = (1/X) part of work

Calculations:

If 20  workers paints 24 walls in 36 days

Then, 1 worker can paint 24 walls in

= 36 × 20 days

And , 1 worker can paint 1 wall in

= (36 × 20)/24

= 720/24

= 30 days

Therefore, 30 workers can paint 1 wall in

= 30/30 days

= 1 day

Hence, 30 workers can paint 20 walls in

= 1 × 20 days

= 20 days

∴ Time taken to paint 20 walls by 30 workers is 20 days.

Given:

$\frac{{\frac{{27}}{{14}} \div \frac{{24}}{7}of\frac{{63}}{{28}} - \frac{9}{4}}}{{\frac{{35}}{8} \div \frac{{15}}{4}of\frac{7}{{48}} + \frac{5}{{16}}}} \div \frac{{196}}{{95}}$

Concept used:

BODMAS

Calculations:

$\frac{{\frac{{27}}{{14}} \div \frac{{24}}{7}of\frac{{63}}{{28}} - \frac{9}{4}}}{{\frac{{35}}{8} \div \frac{{15}}{4}of\frac{7}{{48}} + \frac{5}{{16}}}} \div \frac{{196}}{{95}}$

= $\frac{{\frac{{27}}{{14}} \div (\frac{{24}}{7}×\frac{{63}}{{28}}) - \frac{9}{4}}}{{\frac{{35}}{8} \div (\frac{{15}}{4}×\frac{7}{{48}}) + \frac{5}{{16}}}} \div \frac{{196}}{{95}}$

= $\frac{{\frac{{27}}{{14}} \div \frac{54}{7} - \frac{9}{4}}}{{\frac{{35}}{8} \div \frac{35}{64} + \frac{5}{{16}}}} ×\frac{{95}}{{196}}$

=$\frac{{\frac{{27}}{{14}} ×\frac{7}{54} - \frac{9}{4}}}{{\frac{{35}}{8} × \frac{64}{35} + \frac{5}{{16}}}} ×\frac{95}{196}$

= $\frac{\frac{1}{4}-\frac{9}{4}}{8+\frac{5}{16}}×\frac{95}{196}$

= $\frac{-2}{\frac{133}{16}}×\frac{95}{196}$

= $\frac{-40}{343}$

$\therefore$ The simplified value is $\frac{-40}{343}$.

Given:

$tanθ + \frac{1}{tanθ}$= 2

Formula used:

x + $\frac{1}{x²}$ = (x + $\frac{1}{x}$)² - 2

Calculations:

tan2 θ + $\frac{1}{\tan^2θ}$

= (tan θ + $\frac{{1}}{{\tan θ}}$)² - 2

= 2² - 2

= 4 - 2

= 2

$∴$ tan2 θ + $\frac{1}{\tan^2θ}$= 2

Alternate MethodCalculation:

⇒ tan θ + $\frac{{1}}{{\tan θ}}$ = 2

So, θ = 45°

Now, putting  θ = 45°

tan2 θ + $\frac{1}{\tan^2\theta}$ 

⇒ tan 45° + $\frac{1}{\tan^2 45°}$

⇒ 1 + 1 = 2

∴ The correct answer is 2.

Given:

Calculations:

According to the question,

From year 2001-05 and 2006-09 there is a increase in production.

But, in year 2005-06 there is a decrease.

Hence, the year in which Production was exceptionally decreased is 2005-06.

Shortcut Trick

If the sum of squares is exactly zero, each base term must equal zero.

a − 1 = 0 ⇒ a = 1

b + 2 = 0 ⇒ b = −2

c − 1 = 0 ⇒ c = 1

a² + b² + c² = 1² + (−2)² + 1² = 1 + 4 + 1 = 6

∴ The correct answer is 6.

Alternate Method

Given:

(a − 1)² + (b + 2)² + (c − 1)² = 0

Concept Used:

For any real numbers x, y, and z, if x² + y² + z² = 0, then each individual number must be zero because the square of a real number cannot be negative.

x = 0, y = 0, z = 0

Calculation:

⇒ (a − 1)² = 0 ⇒ a − 1 = 0 ⇒ a = 1

⇒ (b + 2)² = 0 ⇒ b + 2 = 0 ⇒ b = −2

⇒ (c − 1)² = 0 ⇒ c − 1 = 0 ⇒ c = 1

Now, substitute the values of a, b, and c into the required expression:

⇒ a² + b² + c²

⇒ (1)² + (−2)² + (1)²

⇒ 1 + 4 + 1

⇒ 6

∴ The correct answer is 6.

Additional Information

Sum of Squares Property

Since the square of any real number is always non-negative, the sum of multiple squared terms can only result in zero if every individual term is exactly zero.

Important Algebraic Identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca). This formula frequently connects the sum of squares with the sum of terms and their cross-products.

Quadratic Minimum

A perfect square expression like (x − k)² achieves its lowest possible real minimum value of 0 exactly when x = k.

Given:

Calculations:

Mean average = $\frac{\sum observation × frequency}{total frequency}$

= $\frac{1×3+2×2+3×2+4×5+5×5+6×4+7×6+8×3+9×5+10×3+11×1}{39}$

= $\frac{3+4+6+20+25+24+42+24+45+30+11}{39}$

= $\frac{234}{39}$ = 6

$\therefore$ The Required mean average is 6.

Given:

(2.19)² + 2(2.19)(3.81) + (3.81)²

Formula used:

(A + B)² = A² + 2AB + B2 

Calculations:

According to question, we have:

⇒ (2.19)² + 2(2.19)(3.81) + (3.81)²

⇒ (2.19 + 3.81)²

⇒ (6)²

⇒ 36

$\therefore$ The Required simplified value is 36.

Given:

The successive discount are 20% and 30%.

Selling price= Rs. 840

Formula used:

Successive discount = X + Y - (XY)/100

Where,

X = First discount

Y = Second discount

Calculation:

Successive discount = X + Y - (XY)/100

X = 20%, Y = 30%

Now,Final discount

= 20 + 30 - 600/100

= 44%

Hence, the  final discount = 44%

Now, according to question,

Selling price = $\frac{(100 - 44)}{100}$ × Marked price

⇒ 840 = ( 56/100 ) × Marked Price 

⇒ Marked price = 840/0.56 = 1500

Hence, Discount = 1500 - 840 = Rs. 660

$\therefore$ The discount is Rs. 660.

Given:

Marked price of a mobile phone = 12% of C.P + C.P = (1.12)C.P

Formula used:

Discount = M.P – S.P

Where, M.P = Marked price, S.P = Selling price

Discount % = (Discount/M.P) × 100

Gain% = {(S.P - C.P)/C.P} × 100

Calculation:

According to question, 

M.P. = 1.12 C.P.

By using the formula,

Discount = M.P. – S.P.

⇒S.P = M.P - Discount 

⇒S.P = M.P - (0.08)M.P = (0.92)M.P = (0.92)(1.12)C.P = (1.0304)C.P

Gain% = {(S.P - C.P)/C.P} × 100

⇒ $\frac{(1.0304)C.P-C.P}{C.P}$× 100

⇒ 0.0304 × 100

⇒ 3.04%

∴ The Gain percent is 3.04%

 Shortcut TrickCalculation:

Now,

Profit % = (304/10000) × 100 = 3.04 %

∴ The correct answer is 3.04 %.

Given:

Radius of the cone = diameter/2 = 10/2 = 5 cm

Formula used:

Formula of  Total surface area of a cone = πrl + πr²

where r is the radius and l is the slant height of cone.

Calculations:

Total surface area of cone = πr(l + r)

⇒ 5π(16 + 5)

⇒ 105π

⇒ 330 cm²

∴ Total surface area of the cone = 330 cm2

Given:

Time = 3 years

Difference between S.I and C.I = Rs. 93

Rate for both C.I and S.I  = 10%

Calculations:

Let the sum be P.

According to question, C.I - S.I = 93

⇒ P{${(1+\frac{R}{100})}$^T - 1} - $\frac{P×R×T}{100}$ = 93

⇒ P{${(1+\frac{10}{100})}$3 - 1} - $\frac{P×10×3}{100}$ = 93

⇒ P{(1.1)³ - 1} - 0.3P = 93

⇒ P{ 1.331 - 1 } - 0.3P = 93

⇒ 0.331 P - 0.3 P = 93

⇒ 0.031P = 93

⇒ P = 93/0.031 = 3000

Hence, Amount of sum is Rs.3000.

∴ The Sum is Rs.3000.

Shortcut TrickCalculation:

(CI - SI) for 3 yrs = 3 × P × (R/100)² + P × (R/100)³

⇒ 3 × P × (10/100)² + P ×  (10/100)³ = 93

⇒ P × [3 × (1/10)2 + (1/10)3] = 93

⇒ P × [3 × (1/100) + (1/1000)] = 93 

⇒ P × [(30 + 1)/1000] = 93

⇒ P = Rs. 3000

∴ The correct answer is Rs. 3000.

Given:

Decrease in tax = 20%

Increase in consumption = 15%

Formula used:

Increase/decrease % in revenue = X + Y + (XY/100)

Calculations:

Increase/decrease% in revenue = - 20 + 15 - (300/100)

⇒ - 5 - 3 = - 8%

Here, - 8 % represents the decrease of 8%

$\therefore$ The Revenue is decreased by 8%.

Given:

Bar graph shows the data of the number of students of different classes who like to eat different types of fruits.

Calculations:

According to question, the number of students from class 7 who likes guavas = 40

And the number of students from class 5 who likes Mangoes = 40

Hence, the ration of the number of students from class 7 who like guavas to the number of students from Class 5 who like mangoes = 40 : 40 = 1 : 1

$\therefore$The required ratio is 1 : 1

Given

Speed of train = 63km/h

Time taken to cross the pole = 24s

Calculation

Speed should be converted from km/h to m/s

so 63 km/h = 17.5m/s

Distance travelled =length of the train

Distance = speed × time = 17.5 × 24 = 420 m

∴ Length of the train is 420 m

Given:

Dimensions of a slab = 4 m × 50 cm × 20 cm

Bigger Slab Dimensions = 16 m × 12 m × 4 m

Concept Used:

Area of cuboid = The volume of Slab = Product of Sides

Calculation:

The volume of a Bigger slab = n × volume of a slab

Where n is the maximum number of slabs,

⇒ n = Volume of a Bigger slab/volume of a slab

⇒ n = ${16 m \times 12 m \times 4 m} \over {4 m \times 50 cm \times 20 cm}$

⇒ n = ${16 m \times 12 m \times 4 m} \times 100 \times 100 \over {4 m \times 50 m \times 20 m}$, we know that 1 m = 100 cm

⇒ n = 1920

∴ The maximum number of sides is 1920.

Given

height=12cm

slant height =13cm

Formula used

slant height =$\sqrt{radius^2+height^2}$

volume =$\frac{1}{3}\pi r^2h$

Calculation

slant height =13=$\sqrt{radius^2+12^2}$

radius =5cm

Volume of cone =$\frac{1}{3}\times 3.14\times 5^2\times 12=314cm^3$=0.314litres

The volume of cone is 0.314litres

Given 

$\rm\Delta ABC \sim \Delta QRP,\frac{{ar(\Delta ABC)}}{{ar(\Delta QRP)}} = \frac{9}{4}$

AB=18cm

BC=15cm 

Calculation

using similarity of triangles 

$\frac{{ar(\Delta ABC)}}{{ar(\Delta QRP)}} = \frac{9}{4}=(\frac{AB}{QR})^2$

$\frac{AB}{QR}=\frac{3}{2}$

.$\frac{AB}{QR}=\frac{BC}{RP}=\frac{AC}{QP}$

$\frac{3}{2}=\frac{15}{RP}$ so RP=10cm

The length of RP is 10cm

Given

speed of first part =15km/h

distance of first part=30km

speed of second part =10km/h

distance of second part=20km

Formula used 

average speed=$\frac{D1+D2}{\frac{D1}{S1}+\frac{D2}{S2}}$

calculation

average speed=$\frac{30+20}{\frac{30}{15}+\frac{20}{10}}$=12.5km/h

The average speed is 12.5km/h

Third proportional means ,

if a, b, c are three numbers as a:b::b:c then c is third proportional to a and b

Calculation

$\frac{a}{b}=\frac{b}{c}$

$c=b^2/a=21^2/9=49$

The third proportional to given numbers is 49

Calculation

two digit numbers which can be divisible by 6 are 12,18,24.............,90,96

thus it is an Arithmetic progression

$An=a+(n-1)d$

An is n^thnumber

a first term

d=common difference

so 96=12+(n-1)6

n=15

15 two digit numbers are divisible by 6

Given

average score of cricket team=32

number of players=11

scores=22, 11, 5, 34, 21, 32, 0, 28, 9 and 53

Calculation

total score=32$\times$11=352

sum of scores of 10 players=22+11+ 5+ 34+21+ 32+ 0+ 28+ 9 + 53=215

score of captain=total score-score of 10 members=352-215=137

∴ Score of captain is 137.

Concept used:

If x + y + z = 0, then, x³ + y³ + z³ = 3xyz

Calculations:

$\frac{{{{(a - b)}^3} + {{(b - c)}^3} + (c - a)^3}}{{{{({a^2} - {b^2})}^3} + {{({b^2} - {c^2})}^3} + {{({c^2} - {a^2})}^3}}}$

x = (a - b)

y = (b - c)

z = (c - a)

x + y + z = a - b + b - c + c - a = (a + b + c) - (a + b + c) = 0

So, x3 + y3 + z3 = 3xyz = 3(a - b)(b - c)(c - a)

Similarly,

m = (a² - b²)

n = (b² - c²)

o = (c² - a²)

m + n + o = (a² - b²) + (b² - c²) + (c² - a²) = 0

So, m³ + n³ + o³ = 3mno = 3(a²-b²)(b²-c²)(c²-a²)

Thus, we have :

$\frac{3(a-b)(b-c)(c-a)}{3(a²-b²)(b²-c²)(c²-a²)}$

=$\frac{3(a-b)(b-c)(c-a)}{3(a-b)(a+b)(b-c)(b+c)(c-a)(c+a)}$