SSC CHSL 2020 Official Paper 18 (Held On: 4 Aug 2021 Shift 3) (Previous Year Paper)

The correct answer is 'Deteriorate shockingly'.

Key Points

• The most appropriate meaning of the given idiom 'Go to the dogs' is 'Deteriorate shockingly'.
• Go to the dogs: to become ruined/ to change to a much worse condition. (बर्बाद हो जाना / बहुत खराब स्थिति में बदलना)
• Example: Our favorite restaurant has gone to the dogs lately.

Correct Answer: Deteriorate shockingly.

The erroneous spelling is 'Envellope'.

Key Points

• Among the given options, the incorrectly spelt word is 'Envellope'.
• Its correct spelling is 'Envelope'.
• It means 'the paper cover for a letter'. (पत्र का लिफ़ाफ़ा)
• Example: Pressing on the sides of the envelope to open the end, he blew into it, exposing the letter inside.

Additional Information

• Let's look at the meaning of other words:
• Envoy: a person who is sent by a government with a message to another country. (अन्‍य देश में सरकार द्वारा संदेशवाहक दूत, राजकीय दूत, राजदूत)
• Entrust: to make somebody responsible for something. [(किसी को किसी काम का) दायित्‍व सौंपना]
• Entreat: to ask somebody to do something, often in an emotional way. [विनती करना (प्रायः भावुकता या नम्रतापूर्वक)]

The correct answer is 'Hienous'.

Key Points

• Among the given options, the incorrectly spelt word is 'Hienous'.
• Its correct spelling is 'Heinous'.
• It means '(of a person or wrongful act, especially a crime) utterly odious or wicked'. ((किसी व्यक्ति या गलत कार्य, विशेष रूप से एक अपराध) पूरी तरह से घिनौना या दुष्ट)
• Example: But it did not stop the heinous acts he's committing.

Additional Information

• Let's look at the meaning of other words:
• Vicious: cruel; done in order to hurt somebody/something. [निर्मम; कटु, द्वेषपूर्ण (व्‍यक्ति या वस्‍तु को चोट पहुँचाने के लिए किया गया)]
• Callous: not caring about the feelings or suffering of other people. (दूसरों की भावनाओं या पीड़ा की उपेक्षा करते हुए; कठोर हृदय, बेदर्द, निष्ठुर, संवेदनाहीन)
• Vicarious: felt or experienced by watching or reading about somebody else doing something, rather than by doing it yourself. [दूसरे व्‍यक्ति की (न कि अपनी) उपलब्धि से प्रभावित (उसे उपलब्धि करता देखकर या उसके विषय में पढ़कर)]

The correct answer is 'Seemingly'.

Key Points

• The most appropriate synonym of the given word 'Apparently' is 'Seemingly'.
• Apparently: according to what people say or to how something appears, but perhaps not true. (ऊपरी तौर से; दृश्‍यमान रूप से)
• Example: Apparently, he's already been married twice.
• Seemingly: so as to give the impression of having a certain quality; apparently. (प्रकट रूप से)
• His strikes were hard and fast and seemingly from every direction.

Correct Answer: Seemingly.

Additional Information

• Let's look at the meaning of other words:
• Questionably: in a questionable and dubious manner. (एक संदिग्ध तरीके से)
• Considerably: by a notably large amount or to a notably large extent; greatly. (विशेष रूप से बड़ी मात्रा में या विशेष रूप से बड़ी सीमा तक; बहुत)
• Unlikely: not likely to happen; not expected; not probable. (असंभावित; अप्रत्‍याशित; असंभाव्‍य)

The correct answer is 'died if he did not dress'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'died if he had not dressed' should be used instead of 'died if he did not dress'.
• The given sentence is an example of a third conditional.
• "Had + V3 ______ would have + V3" is grammatically the correct structure for the given sentence.
• Example: If you had told me about the meeting, I would have come.
• Hence, ‘had not dressed’ is the most appropriate answer. 

Correct Sentence: I would have died if he had not dressed my wound that day.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहां 'died if he did not dress' के बजाय 'died if he had not dressed' का इस्तेमाल किया जाना चाहिए।
• दिया गया वाक्य third conditional का एक उदाहरण है।
• "Had + V3 ______ would have + V3" दिए गए वाक्य के लिए व्याकरणिक रूप से सही संरचना है।
• ​Example: If you had told me about the meeting, I would have come.
• इसलिए, 'had not dressed' सबसे उपयुक्त उत्तर है।

The correct answer is 'Make something happen'.

Key Points

• The most appropriate meaning of the given idiom 'Pull something off' is 'Make something happen'.
• Pull something off: to succeed in something. (किसी काम में सफल होना)
• Example: I never thought you'd pull it off.

Correct Answer: Make something happen.

The correct answer is 'independent'.

Key Points

• The most appropriate word for the given blank is 'independent'.
• It means 'not needing or wanting help; not depending on another for livelihood or subsistence'. (जिसे सहायता की न तो आवश्‍यकता हो न इच्‍छा; आत्‍मनिर्भर; आजीविका या निर्वाह के लिए दूसरे पर निर्भर नहीं)
• Example: I got a part-time job because I wanted to be financially independent of my parents.
• The given sentence is trying to express the fact that Priya did not depend on anyone for financial help. (दिया गया वाक्य इस तथ्य को व्यक्त करने का प्रयास कर रहा है कि प्रिया आर्थिक मदद के लिए किसी पर निर्भर नहीं थी।)

Correct Sentence: Priya has a very independent nature and does not accept financial help even from her own parents.

Hinglish

• Let's look at the meaning of other words:
• impartial: not supporting one person or group more than another; fair. (जिसमें दो पक्षों में से किसी एक को अधिक प्रमुखता न दी जाए; निष्‍पक्ष)
• disinterested: having or feeling no interest in something; uninterested. (किसी चीज में रुचि न होना या महसूस न होना; रुचिरहित)
• biased: unfairly prejudiced for or against someone or something. (पक्षपातपूर्ण)

The correct answer is 'No improvement'.

Key Points

• The given sentence is grammatically correct.
• Here, the definite article 'the' is correctly used because it is used for a specific thing in a particular situation.
• In the given context, it is referring to 'child'.
• Here, 'tense' is also used correctly.
• The present continuous verb tense indicates that an action or condition is happening now, frequently, and may continue into the future.
• The Present Continuous Formula: to be [am, is, are] + verb [present participle]
• Example: They are eating at Scott’s favorite restaurant today, Polly’s Pancake Dine.

The correct answer is My friends say, "Many young people are very active on social media now."

Key Points

• The given sentence is in Indirect Speech. As per the question, we have to change it into Direct Speech.
• The process of transformation is as follows:
• 'say' will not change because the reporting verb is in the present tense.
• We don't change the tense of reported speech when reporting verb is in the present tense.
• Comma and inverted commas will be added.
• Hence, 'many young people are very active on social media now' will remain as it is.

Correct Sentence: My friends say, "Many young people are very active on social media now."

Hinglish

• दिया गया वाक्य Indirect Speech में है। प्रश्न के अनुसार हमें इसे Direct Speech में बदलना होगा।
• परिवर्तन की प्रक्रिया इस प्रकार है:
• 'say' नहीं बदलेगा क्योंकि reporting verb present tense में है।
• जब reporting verb present tense में होती है तो हम reported speech के tense को नहीं बदलते हैं।
• अल्पविराम और उल्टे अल्पविराम जोड़े जाएंगे।
• इसलिए, 'many young people are very active on social media now' जैसा है वैसा ही रहेगा।

The correct answer is 'No error'.

Key Points

• The given sentence is grammatically correct.
• After 'they' a plural helping verb is used.
• And the given sentence is an example of passive voice.
• The structure of these kinds of sentences is "Subject + was/were + V3 + Object." (Passive Voice)

The correct answer is 'ABDC'.

Key Points

• The given question is an example of a Para Jumble.
• We know that the first statement of a para jumbled question is usually an independent general statement, a noun, a universal fact, starting of an incident, or it starts with 'most' or 'once'.
• Here, 'Sentence A' should be the first sentence because the given paragraph is talking about the Cheetas. And Sentence A is an introductory sentence.
• Sentence B will be the next sentence. (Moreover, only option 1 starts with 'A', therefore we can instantly mark it as the correct answer)
• Sentence B is talking about the physical appearance of 'Cheetahs' and Sentence D is also talking about the physical appearance. Hence, both of these sentences are connected.
• Hence, sentence D will be the next sentence.
• Lastly, Sentence C will be used.
• Thus, the correct sequence is:
• A: Cheetahs are one of the world's most-recognisable cats, known especially for their speed.
• B: Their faces too are distinguished by prominent black lines that curve from the inner corner of each eye to the outer corners of the mouth, like a well-worn trail of inky tears.
• D: They have a long, slender body measuring 1.2 metres (4 feet), with a long tail (65-85 cm [2-3 feet]) that generally ends in a white tuft.
• C: Cheetahs are covered almost entirely with small black spots on a background of pale yellow and have a white underbelly.

Correct Sequence: Cheetahs are one of the world's most-recognisable cats, known especially for their speed. Their faces too are distinguished by prominent black lines that curve from the inner corner of each eye to the outer corners of the mouth, like a well-worn trail of inky tears. They have a long, slender body measuring 1.2 metres (4 feet), with a long tail (65-85 cm [2-3 feet]) that generally ends in a white tuft. Cheetahs are covered almost entirely with small black spots on a background of pale yellow and have a white underbelly.

The correct answer is 'is held up by'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'is held up by' should be used instead of 'is being held up over'.
• By is used to show the person or thing that does something.
• For Example - I felt frightened by the anger in his voice.
• Hold up is a phrasal verb meaning support and prevent something from falling.
• For Example - Concrete pillars hold up the elevated section of the railway.
• The use of 'Being' is wrong because it is used in the present or past continuous tense.
• 'Being' is used in the passive sense and it is wrong in the context of the given sentence.

Correct Sentence: The roof is held up by two stone pillars.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहाँ, 'is held up by' का प्रयोग 'is being held up over' के स्थान पर किया जाना चाहिए।
• By का उपयोग उस व्यक्ति या चीज़ को दिखाने के लिए किया जाता है जो कुछ करता है।
• उदाहरण के लिए - I felt frightened by the anger in his voice.
• Hold up एक वाक्यांश क्रिया है जिसका अर्थ है समर्थन करना और किसी चीज को गिरने से रोकना।
• उदाहरण के लिए - Concrete pillars hold up the elevated section of the railway.
• 'Being' का प्रयोग गलत है क्योंकि इसका प्रयोग present or past continuous tense में होता है।
• 'Being' का प्रयोग passive sense में किया गया है और यह दिए गए वाक्य के संदर्भ में गलत है।

The correct answer is 'At the last moment, Manohar was pulled out of the burning bus by a fireman.'

Key Points

• The given sentence is in Active Voice. As per the given question, we have to change it into Passive Voice.
• The structure of the given sentence is as follows:
• Subject + V2 + Object. (Active Voice)
• Subject (objective case) + was/were + V3 + Object (subjective case). (Passive Voice)
• Example:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• The subject of the given sentence is 'A fireman'.​​
• The object of the given sentence is 'Manohar'.
• The subject will be put in place of the object and the object will be put in place of the subject.
• And 'pulled' will be changed into 'was pulled'.
• Lastly, the preposition  'by' will be added. 

Correct Sentence: At the last moment, Manohar was pulled out of the burning bus by a fireman.

Hinglish

• ​दिया गया वाक्य Active Voice में है। दिए गए प्रश्न के अनुसार हमें इसे Passive Voice में बदलना है।
• दिए गए वाक्य की संरचना इस प्रकार है:
• Subject + V2 + Object. (Active Voice)
• Subject (objective case) + was/were + V3 + Object (subjective case). (Passive Voice)
• उदाहरण:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• दिए गए वाक्य का subject 'A fireman' है।​
• दिए गए वाक्य का object 'Manohar' है।
• Object के स्थान पर Subject रखा जाएगा और Subject के स्थान पर Object रखा जाएगा।
• 'pulled' को 'was pulled' में बदल दिया जाएगा।
• अंत में, preposition  'by' जोड़ा जाएगा।

The correct answer is 'Gregarious'.

Key Points

• The most appropriate meaning of the given group of words is 'Gregarious'.
• It means 'liking to be with other people; (of a person) fond of company; sociable'. (लोगों से मिलना-जुलना पंसद करने वाला; मिलनसार, सुसामाजिक)
• Example: Most are gregarious and typically seen in small groups.

Correct Answer: Gregarious.

Additional Information

• Let's look at the meaning of other words:
• Amiable: friendly and pleasant. (मैत्रीपूर्ण और सौहार्दपूर्ण; मिलनसार)
• Cheerful: feeling happy; showing that you are happy. (प्रसन्‍न, प्रमुदित; हँसमुख)
• Gracious: (used about a person or his/her behaviour) kind, polite and generous. ((व्‍यक्ति या उसका आचरण) दयालु, नम्र और उदार)

The correct answer is 'Pleasant'.

Key Points

• The most appropriate antonym of the given word 'Harrowing' is 'Pleasant'.
• Harrowing: making people feel very sad or upset. (लोगों को दुखी या परेशान कर देने वाला; उत्‍पीड़क)
• Example: The program showed harrowing scenes of the victims of the war.
• Pleasant: nice, enjoyable, or friendly. (सुहाना, आनंददायक या अनुकूल)
• Example: I had a pleasant dream last night.

Correct Answer: Pleasant.

Additional Information

• Let's look at the meaning of other words:
• Stressful: causing worry and pressure. (चिंता और दबाव उत्‍पन्‍न करने वाला; तनावप्रद)
• Worrying: causing anxiety about actual or potential problems; alarming. (वास्तविक या संभावित समस्याओं के बारे में चिंता पैदा करना; खतरनाक)
• Repetitive: not interesting because the same thing is repeated many times. [अरुचिकर, उबाऊ (बार-बार दोहराए जाने के कारण)]

The correct answer is 'patiently'.

Key Points

• The most appropriate word for the given blank is 'patiently'.
• It means 'in a way that shows tolerance of delays, problems, or suffering without becoming annoyed or anxious'. (धैर्यपूर्वक)
• Example: He patiently tried to explain the situation to her.
• In the given context, it is referring to the passengers who waited for the local train without being annoyed or anxious. (दिए गए संदर्भ में, यह उन यात्रियों की बात कर रहा है जो बिना नाराज या चिंतित हुए लोकल ट्रेन का इंतजार कर रहे थे।)

Correct Sentence: The passengers waited patiently for the local train to arrive.

Additional Information

• Let's look at the meaning of other words:
• meekly: in a quiet, gentle, and submissive manner. (चुपचाप)
• hastily: with excessive speed or urgency; hurriedly. (जल्‍दबाज़ी से)
• considerably: by a notably large amount or to a notably large extent; greatly. (काफ़ी अधिक)

The correct answer is 'Intrude'.

Key Points

• The most appropriate synonym of the given word 'Encroach' is 'Intrude'.
• Encroach: to use more of something than you should. (जितना चाहिए उससे अधिक लेना, अपनी सीमा को लाँघना)
• Example: I do hope that I am not encroaching too much upon your free time.
• Intrude: to enter a place or situation without permission or when you are not wanted. (किसी स्‍थान या अवसर पर बिना अनुमति के या लोगों की इच्‍छा के विपरीत पहुँचना, घुस आना या जाना, घुसपैठ करना, अनधिकार प्रवेश करना)
• Example: I’m sorry to intrude on your Sunday lunch but the matter was rather urgent.

Correct Answer: Intrude.

Additional Information

• Let's look at the meaning of other words:
• Ignore: to pay no attention to somebody/something. (व्‍यक्ति या वस्‍तु पर कोई ध्यान न देना, की उपेक्षा करना)
• Disregard: to take no notice of somebody/something; to treat something as unimportant. (किसी की उपेक्षा करना, किसी बात पर ध्यान न देना; किसी बात को महत्वहीन या उपेक्षणीय समझना)
• Forget: to not be able to remember something. (याद न रहना, भूल जाना)

The correct answer is 'Pleased'.

Key Points

• The most appropriate word antonym of the given word 'Indignant' is 'Pleased'.
• Indignant: shocked or angry because somebody has said or done something that you do not like and do not agree with. (नापसंद या प्रतिकूल बात या काम से बहुत रुष्‍ट या क्रुद्घ)
• Example: They were indignant that they had to pay more for worse services.
• Pleased: happy or satisfied about something. (किसी बात के लिए प्रसन्‍न या संतुष्‍ट)
• Example: Jai seems very pleased with his new car.

Correct Answer: Pleased.

Additional Information

• Let's look at the meaning of other words:
• Annoyed: feeling angry or slightly angry. (नाराज़)
• Upset: to make somebody worry or feel unhappy. [(किसी को) चिंतित या परेशान कर देना]
• Peeved: quite angry or annoyed. (क्रुद्घ और नाराज़)

The correct answer is 'BDAC'.

Key Points

• The given question is an example of a Para Jumble.
• We know that the first statement of a para jumbled question is usually an independent general statement, a noun, a universal fact, starting of an incident, or it starts with 'most' or 'once'.
• Here, Sentence B will be the first sentence because it is the starting of an incident i.e. the narrator meeting a young man on the ship.
• Sentence B is talking about a young man and Sentence D is further explaining why the young man was going out.
• Sentence A will be the next sentence because it is talking about what the young man confessed to the narrator.
• Lastly, Sentence C will be used because it is talking about what the narrator replied to the young man.
• Thus, the correct sequence is:
• B: On my second visit to West Africa, I met a young man on board the ship.
• D: He was going out to take up a job in a banana plantation.
• A: He confessed that the only thing he was afraid of was snakes.
• C: I told him that it was very unlikely that he would see any.

Correct Sequence: On my second visit to West Africa, I met a young man on board the ship. He was going out to take up a job in a banana plantation. He confessed that the only thing he was afraid of was snakes. I told him that it was very unlikely that he would see any.

The correct answer is 'Florist'.

Key Points

• The most appropriate word for the given group of words is 'Florist'.
• It means 'someone whose job involves arranging and selling cut flowers'. (कोई व्यक्ति जिसका काम कटे हुए फूलों की व्यवस्था और बिक्री करना हो)
• Example: The florist bunched the flowers up.

Correct Answer: Florist.

Additional Information

• Let's look at the meaning of other words:
• Anthropologist: an expert in or student of anthropology. (मानव-विज्ञानी)
• Horticulturist: a person whose work involves growing fruits, vegetables, flowers, or ornamental plants. (एक व्यक्ति जिसके काम में फल, सब्जियां, फूल या सजावटी पौधे उगाना शामिल है)
• Botanist: a person who studies plants. (पौधों का अध्ययन करनेवाला व्यक्ति; वनस्‍पतिशास्‍त्री)

The correct answer is 'was'.

Key Points

• The most appropriate option for the given blank is 'was'.
• The given passage is in the past tense.
• Hence, a past helping verb should be used.
• Here, 'he' is a singular helping verb. Therefore, 'was' should be used.

Correct Pragraph: Equiano was born in 1745 in Nigeria. When he was about eleven, Equiano was kidnapped and sold to slave traders headed (2) ________ the West Indies. Though he spent a brief (3) ________ in the state of Virginia, much of Equiano's time (4) ________ serving on slave ships and British navy vessels. In his service on these (5) ________, Equiano travelled extensively.

The correct answer is 'to'.

Key Points

• The most appropriate answer for the given blank is 'to'.
• Here, in the sentence 'headed to' is a phrasal verb.
• It means 'to move in the direction mentioned'. (निर्दिष्ट दिशा में आगे बढ़ना)
• Example: He headed to the station.
• In the given paragraph, the kidnappers were moving towards the West Indies.

Correct Sentence: Equiano was born in 1745 in Nigeria. When he was about eleven, Equiano was kidnapped and sold to slave traders headed to the West Indies. Though he spent a brief (3) ________ in the state of Virginia, much of Equiano's time (4) ________ serving on slave ships and British navy vessels. In his service on these (5) ________, Equiano travelled extensively.

The correct answer is 'period'.

Key Points

• The most appropriate word for the given blank is 'period'.
• It means 'a length of time'. (समय की लंबाई, अवधि, मियाद)
• Example: The scheme will be introduced for a six-month trial period.
• In the given context 'period' is correct because a period of the life of a person, organization, or society is a length of time that is remembered for a particular situation or activity.

Correct Sentence: Equiano was born in 1745 in Nigeria. When he was about eleven, Equiano was kidnapped and sold to slave traders headed to the West Indies. Though he spent a brief period in the state of Virginia, much of Equiano's time (4) ________ serving on slave ships and British navy vessels. In his service on these (5) ________, Equiano travelled extensively.

Additional Information

• Let's look at the meaning of other words:
• Life: the quality that people, animals, or plants have when they are not dead. (व्‍यक्तियों, पशुओं या पौधों की जीवित अवस्‍था; जीवन, ज़िंदगी)
• Age: the length of time that somebody has lived or that something has existed. (उम्र, आयु, वय, अवधि)
• Era: a period of time in history (that is special for some reason). [इतिहास का एक कालखंड, या युग (किसी कारण से विशिष्‍ट); संवत्‌]

The correct answer is 'was spent'.

Key Points

• The most appropriate option for the given blank is 'was spent'.
• As the given passage is talking about a past incident so a past helping verb should be used.
• Here, the passive structure should be used because the given sentence is in the passive voice.
• The structure of these kinds of sentences is: Subject (objective case) + was/were + V3 + Object (subjective case). (Passive Voice)
• Example: They were shown some rare photographs by their cousin. (Passive Voice)

Correct Sentence: Equiano was born in 1745 in Nigeria. When he was about eleven, Equiano was kidnapped and sold to slave traders headed to the West Indies. Though he spent a brief period in the state of Virginia, much of Equiano's time was spent serving on slave ships and British navy vessels. In his service on these (5) ________, Equiano travelled extensively.

The correct answer is 'ships'.

Key Points

• The most appropriate word for the given blank is 'ships'.
• It means 'a large boat used for carrying passengers or cargo by sea'. [जहाज़, जलयान, जलपोत (समुद्र द्वारा यात्री या माल ले जाने के लिए प्रयुक्त)]
• The previous sentence mentions Equiano spending most of his time on slave ships.
• Hence, 'ships' should be used.

Correct Paragraph: Equiano was born in 1745 in Nigeria. When he was about eleven, Equiano was kidnapped and sold to slave traders headed to the West Indies. Though he spent a brief period in the state of Virginia, much of Equiano's time was spent serving on slave ships and British navy vessels. In his service on these ships, Equiano travelled extensively.

Additional Information

• Let's look at the meaning of other words:
• crafts: a job or activity for which you need skill with your hands. (हाथों की कुशलता का काम; हस्‍तशिल्‍पी)
• tankers: a ship or lorry that carries oil, petrol, etc. in large amounts. (बड़ी मात्रा में तेल, पेट्रोल आदि ले जाने वाला जहाज़ या लॉरी; टैंकर, तेल-पोत, टैंकर-लॉरी)
• liners: a large luxurious passenger ship of a type formerly used on a regular line. (एक प्रकार का एक बड़ा शानदार यात्री जहाज जो पहले नियमित लाइन पर इस्तेमाल होता था)

The table is alphabets place value:

The pattern followed here is:

• Consonants are increased by +7.
• Vowels are decreased by -5.

PROUD is written as WYJPK

Similarly,

'GUILTY' = ?

Hence, 'GUILTY' is coded as "NPDSAF".

The correct mirror image of the given figure when the mirror is held at the right side is:

 

 

Hence, "option (2)" is the correct answer.

Additional Information

In Mirror image left side and right side changed vice-versa where top and bottom remain same.

 

Reflection of an object into the water is its water image. It appears by inverting an object vertically i.e. upside down.

 

The water image of the figure looks like the mirror image of the figure in case the mirror is horizontally at the bottom of the figure.

 

Water image is just a reflection where top and bottom part of the images changed where left and right side of the image remain same

The image obtained when the paper is unfolded is,

Hence, option 4 is the correct answer.

Given: p l _ p p _ s p _ l s p p l _ p

By checking options and substituting accordingly.

1)  s l p s → p l s p / p l s p / p l s p / p l s p

2)  l s l p → p l l p / p s s p / l l s p / p l p p

3)  p l s p → p l p p / p l s p / s l s p / p l p p

4)  s p p l → p l s p / p p s p / p l s p / p l l p

Option (1) gives a cyclic pattern of p l s p / p l s p / p l s p / p l s p

Hence, ‘s l p s’ is the correct answer.

The Logic here is as follows:

1^st Number : 2^nd number

=> 1^st Number + digit sum of 1^st number = 2^nd number

In 185 : 199

1^st Number + digit sum of 1^st number

= 185 + (1 + 8 + 5)

= 185 + 14

= 199 = 2^nd number

Now check the all options,

Option (1) 174 : 187

1^st Number + digit sum of 1^st number

= 174 + (1 + 7 + 4)

= 174 + 12

= 186 ≠ 2^nd Number

Option (2) 129 : 152

1^st Number + digit sum of 1^st number

= 129 + (1 + 2 + 9)

= 129 + 12

= 141 ≠ 2^nd Number

Option (3) 126 : 134

1^st Number + digit sum of 1^st number

= 126 + (1 + 2 + 6)

= 126 + 9

= 135 ≠ 2^nd Number

Option (4) 89 : 106

1^st Number + digit sum of 1^st number

= 89 + (8 + 9)

= 89 + 17

= 106 = 2^nd Number

Hence, the correct answer is "89 : 106".

Note:

Because of the discrepancy, we have altered the question and changed the second option from 139 to 129.

The Logic here is as follows:

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

In (32, 16, 96)

= (32 + 16) × 2

= 48 × 2

= 96 = 3^rd Number

Now check the all options,

Option (1) (26, 13, 78)

= (26 + 13) × 2

= 39 × 2

= 78 = 3^rd Number

Option (2) (42, 21, 126)

(1^st number + 2^nd number) × 2

= (42 + 21) × 2

= 63 × 2

= 126 = 3^rd Number

Option (3) (36, 18, 108)

(1^st number + 2^nd number) × 2

= (36 + 18) × 2

= 54 × 2

= 108 = 3^rd Number

Option (4) (22, 11, 68)

(1^st number + 2^nd number) × 2

**= **(22 + 11) × 2

**= 33 **× 2

= 66 **≠ **3^rd Number

This option doesn’t follow the pattern.

Hence, the correct answer is "(22, 11, 68)".

The logic followed here is:

All the given options except option (2), are divisible by 7.

Option (1) 105 → Divisible by 7.

Option (2) 348 → Not divisible by 7.

Option (3) 252 → Divisible by 7.

Option (4) 231 → Divisible by 7.        

Hence, “348” is an odd one.

 

Note: This is an official question of SSC CHSL, two options were found to be correct in this question, hence we have changed option 1 from 217 to 105.

Statements:

All plots are flats.

All flats are hotels.

Some hotels are restaurants.

The least possible diagram for the given statements is as follows

Conclusions:

I. Some restaurants are flats → False (It is possible but not definite because no direct relationship are given between restaurants and flats)

II. Some hotels are plots → True (Because all plots are flats and all flats are hotels so some hotels are definitely plots)

III. No plot is a restaurant → False (It is possible but not definite because no direct relationship are given between plots and restaurants)

Hence, “Only conclusion II follows” is the correct answer.

Given:

Increases the speed of his vehicle by 5 km/h after every one hour.

And,

Initial speed of the vehicle was 75 km/h

1^st hour speed → 75

2^nd hour speed → 75 + 5 = 80

3^rd hour speed → 80 + 5 = 85

4^th hour speed → 85 + 5 = 90

The average speed of vehicle is

=> (75 + 80 + 85 + 90) / 4 = 330 / 4 = 82.5 km/h

Hence, correct answer is “82.5 km/h”

The logical and meaningful order of the given words is as follows:

LOGIC: The words have been arranged according to the stage of disease from illness to its recovery.

3. Illness → → Firstly a human illness from any disease.

2. Diagnosis → After the illness we diagnose the disease.

1. Prescription → Then we take a prescription of that disease.

5. Recovery → After taking a prescription we recover the disease.

4. Follow-up  → After recovery we need to properly follow up.

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

The pattern followed here is:

 

Hence, '327' is the correct answer.

Additional Information Square of Numbers: When a number is multiplied by itself, the product is called the square of the numbers.

To calculate square root of a number for example 6889.

Calculation:

Step 1: Check the unit digit of the given number Unit digit is 9, therefore the unit digit of the square root will be 3 or 7.

Step 2: Ignoring the last two digits (unit digit and tens digit), we get 68.

Step 3: The greatest number whose square is less than or equal to 68 is 8, which is tens place digit of the required square root.

Step 4: Now multiply 8 × 9 = 72.

Step 5: On comparing we find , 68 (step 2) < 72 (step 4).

Step 6: Choose the smallest digit for unit place from 3 and 7 (step 1), i.e 3.

This way, square root of 6889 is 83.

The Logic followed here is:

Step 1 → ∛(1^st number + 3) = A perfect cube root

Step 2 → ∛(2^nd number + 3) = A perfect cube root

Step 3 → ∛(3^rd number + 3) = A perfect cube root

In (2194, 1328, 726)

Step 1 → ∛(2194 + 3) = ∛2197 = 13 (A perfect cube root)

Step 2 → ∛(1328 + 3) = ∛1331 = 11 (A perfect cube root)

Step 3 → ∛(726 + 3) = ∛729 = 9 (A perfect cube root)

Similarly,

Option 4 → (1725, 997, 509)

Step 1 → ∛(1725 + 3) = ∛1728 = 12 (A perfect cube root)

Step 2 → ∛(997 + 3) = ∛1000 = 10 (A perfect cube root)

Step 3 → ∛(509 + 3) = ∛512 = 8 (A perfect cube root)

Hence, the correct answer is "(1725, 997, 509)".

Table show alphabet serial number –

The pattern followed is,

 

All follow the same pattern, except 'SYDJ’.

Hence, “SYDJ” is the odd one.

The logic followed here is:

Except option 2, all words are synonyms of each other whereas calm down is the antonyms of these words.

Option (1) aggravate → Aggravate means to make something worse or more serious. It is a negative energy word.

Option (2) frighten → Frighten means to make somebody/something afraid or shocked. It is a negative energy word.

Option (3) calm down → Calm down means to make someone or something less agitated. It is a positive energy word.

Option (4) Provoke → Provoke means to cause a particular feeling or reaction. It is a negative energy word.

All words are negative energy words expect "Calm down"

Hence, ‘calm down’ is the correct answer.

Preparing the family tree using the following symbols,

Given:

Nirmala introduced Rahul as the son of the sister of her mother

We can draw the following Family Tree from the information given above:

Hence, the Nirmala is the "Cousin" of Rahul.

According to the BODMAS rule:

Option 1 : × and +

Given:

646 ÷ 19 – 746 + 20 × 34 = 100

After interchange the signs;

646 ÷ 19 – 746 × 20 + 34 = 100

By BODMAS rule

34 – 746 × 20 + 34 = 100

34 – 14920 + 34 = 100

68 – 14920 = 100

-14852 = 100 (LHS ≠ RHS)

Option 2 : × and ÷

Given:

646 ÷ 19 – 746 + 20 × 34 = 100

After interchange the signs;

646 × 19 – 746 + 20 ÷ 34 = 100

By BODMAS rule

646 × 19 – 746 + 0.588 = 100

646 × 19 – 746 + 0.588 = 100

12274 – 746 + 0.588 = 100

12274.588 – 746 = 100

11,528.588 = 100 (LHS ≠ RHS)

Option 3 : – and ×

Given:

646 ÷ 19 – 746 + 20 × 34 = 100

After interchange the signs;

646 ÷ 19 × 746 + 20 - 34 = 100

By BODMAS rule

34 × 746 + 20 - 34 = 100

25364 + 20 - 34 = 100

25384 - 34 = 100

25350 = 100 (LHS ≠ RHS)

Option 4 : – and +

Given:

646 ÷ 19 – 746 + 20 × 34 = 100

After interchange the signs;

646 ÷ 19 + 746 - 20 × 34 = 100

By BODMAS rule

34 + 746 - 20 × 34 = 100

34 + 746 - 680 = 100

780 - 680 = 100

100 = 100 (LHS = RHS)

Hence, the answer is “– and +”.

The logic here is,

AMIDST : AIMDST

Similarly,

SYNTAX : ?

Hence, "NSYATX" is the correct answer.

The logic followed here is:

Given:

Galvanometer : Electric current → Galvanometer is used for Electric current measurement.

Similarly,

Graphometer ∶ Angles → Graphometer is used for Angles measurement.

Hence, ‘Angles’ is the correct answer.

The figure that will replace the question mark (?) in the following figure series is shown below:

1. Upper left side figure transfer lower left side.

2. Upper right side figure transfer lower right side.

3. Lower left side figure transfer upper right side.

4. Lower right side figure transfer middle position.

5. Middle figure transfer upper left side.

Final series is

 

Hence, ‘option 2’ is the correct answer.

For this question, the relation is given below -

Logic: If two dice have the same two face values in the given image then the third number is opposite to each other.

In second dice and third dice.

Numbers 4 and 5 are common.

So, the number 2 is the opposite of 6.

Now, check the second pattern:

In first dice and second dice.

If we rotate the second dice in an anti-clockwise direction.

We get,

Logic: If two dice have the same face value in the given image then their clockwise or anticlockwise wise number are known as opposite numbers in dice.

In first dice and second dice. The number '4' is common.

The left letter will be opposite each other writing them clockwise starting from 4.

Hence, the face opposite the 6 is “2”.

Hence, the correct answer is “2”

The codes have been assigned as follows,

CANDIDATE →

 

ACTION →

 

Similarly,

DICTATION →

 

Hence, DICTATION is coded as “298141936”.

The embedded part of this image is:

Hence, option (4) is the correct answer.

The logic followed here is:

Given:

Power : Watt → The SI unit of Power is the Watt.

Now, check all the options:

Option (1) Force : Pascal → The SI unit of Force is the newton and Pascal is the SI unit of pressure.

Option (2) Volume : Pound → The SI unit of volume is the cubic meter and the Pound is the unit of weight.

Option (3) Current : Volt → The SI unit of Current is the Ampere and Volt is the SI unit of electric potential.

Option (4) Resistance : Ohm → The SI unit of Resistance is the Ohm.

Hence, ‘Resistance : Ohm’ is the correct answer.

The Venn diagrams best represent the relationship between - Teachers, Graduates, Tennis players figures are shown below:

• Some teachers are graduated.
• Some graduated are tennis players.
• Some Teachers are tennis players.
• Some teachers are both graduated and tennis players

Hence, ‘option 1’ is the correct answer.

The number of triangles in the given figure is:

So, there are a total of 18 triangles in the figure.

Hence, ‘18’ is the correct answer.

Given:

BD and CE are the medians of Δ ABC

CE = 5√13/2 cm

BC = 10 cm

Concept used:

When two median is given, then add the two numbers in the middle and then divide by 2.

Calculation:

According to the question

⇒ BD² = AB² + (AC/2)²

⇒ BD² = AB² + AC²/4

Now,

CE² = (AB/2)² + AC²

⇒ AB²/4 + AC²

Now,

BD² + CE² = 5/4(AB² + AC²)

⇒ BD² + CE² = 5/4 BC²

⇒ BD² + (5√13/2)² = 5/4 × (10)²

⇒ BD² + 325/4 = 5/4 × 100

⇒ BD² + 325/4 = 125

⇒ BD² = (125 – 325/4)

⇒ BD² = (500 – 325)/4

⇒ BD² = 175/4

⇒ BD = 5√7/2 cm

∴ The length of the BD is 5√7/2 cm

Given:

Time taken by A to complete the work = 30 days

Time taken by B to complete the work after 4 days = 10 days

Formula used:

Work = Efficiency × Time

Calculation:

Let B can complete the work in x days

Time taken by A to complete the work in 1 day = 1/30 units

Time taken by B to complete the work in 1 day = 1/x units

According to the question

⇒ 10 × 1/30 + (10 – 4) ×  1/x = 1

⇒ 1/3 + 6/x = 1

⇒ 6/x = (1 – 1/3)

⇒ 6/x = 2/3

⇒ 2x = 18

⇒ x = 9

B alone can complete one-third of the same work = (1/3 × 9)

⇒ 3 days

∴ The required time is 3 days

Alternate Method

According to the question, A can complete a work in 30 days,

After 4 days of work B join and completed the remaining work next 6 days, 

What A alone can do in 26 days that work A + B can do in 6 days, so

⇒ A × 26 = (A + B) × 6

⇒ 26A = 6A + 6B

⇒ A/B = 6/20 = 3/10

So, total work is 30 × 3 = 90 unit

Now, B can do 1/3_rd of the work in 90 × 1/3 × 1/10 = 3 days

Given:

∠A = 90°

AB = 20 cm

BC = 29 cm

Formula used:

AC² = BC² – AB²

Sinθ = P/H

Cotθ = B/P

Calculation:

AC2 = BC2 – AB²

⇒ AC² = (29)² – (20)²

⇒ AC² = (841 – 400)

⇒ AC² = 441

⇒ AC = 21 cm

Now,

SinB = 21/29

CotC = 21/20

Now,

(sinB – cotC) = (21/29 – 21/20)

⇒ (420 – 609)/580

⇒ -189/580

∴ The required value is -189/580

Given:

(2²⁴ – 1) is divided by 7

Concept used:

Divisibility rule of 7 - The difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be equal to 0.

Calculation:

According to the question

(224 – 1)

⇒ (2³)⁸ – 1

⇒ (8⁸ – 1)

Now,

⇒ (8⁸ – 1)/7 

⇒ (8⁸)/7 – (1/7)

⇒ (1 – 1)/7

⇒ 0

∴ The remainder is 0

Given:

2cos2θ = 3 (1 – sinθ)

Formula used:

sin²θ + cos²θ = 1

⇒ 1 – sin²θ = cos²θ 

Calculation:

2cos2θ = 3 (1 – sinθ)

⇒ 2cos²θ = 3 – 3sinθ 

⇒ 2cos²θ + 3sinθ – 3 = 0

⇒ 2(1 – sin²θ) + 3sinθ – 3 = 0

⇒ 2 – 2sin²θ + 3sinθ – 3 = 0

⇒ 2sin²θ – 3sinθ + 1 = 0

⇒ 2sin²θ – 2sinθ – sinθ + 1 = 0

⇒ 2sinθ(sinθ – 1) – 1(sinθ – 1) = 0

⇒ (2sinθ – 1) (sinθ – 1) = 0

⇒ sinθ = 1/2 or 1

sinθ = 1/2 = 30°  [sin90° = 1, but 0° < θ < 90° so, we cannot take this value]

⇒ So, θ = 30° 

The value of (tan2θ + cosec3θ – sec2θ) = (tan60° + cosec90° – sec60°)

⇒ (√3 + 1 – 2)

⇒ √3 – 1

∴ The required value is √3 – 1

Shortcut Trick

If we put θ = 30°, it satisfy the equation 2cos2θ = 3 (1 – sinθ)

So,

⇒ (tan2θ + cosec3θ – sec2θ)

⇒ tan 60° + cosec 60° - sec 60° 

⇒ √3 + 1 - 2

⇒ √3 - 1

Given:

The perimeters of two similar triangles ABC and PQR = 156 cm and 46.8 cm

BC = 19.5 cm

Calculation:

According to the question

ΔABC ~ ΔPQR

Perimeter of ΔABC/Perimeter of ΔPQR = BC/QR

⇒ 156/46.8 = 19.5/x

⇒ 156x = 46.8 × 19.5

⇒ 156x = 912.6

⇒ x = (912.6/156)

⇒ x = 5.85 cm

∴ The value of x is 5.85 cm

Shortcut Trick

If the angle of elevation (or depression) of a tower of height h changes from θ₁ to θ₂ as an object moves directly towards it, the distance travelled is:

Distance = h × (cot θ₁ − cot θ₂)

Here, h = 42 m, θ₁ = 30°, θ₂ = 45°

Distance = 42 × (cot 30° − cot 45°)

Distance = 42 × (√3 − 1)

∴ The correct answer is 42(√3 − 1) m.

Alternate Method

Given:

Height of the lighthouse (AB) = 42 m

Angle of depression at initial position C = 30° ⇒ Angle of elevation ∠ACB = 30°

Angle of depression at final position D = 45° ⇒ Angle of elevation ∠ADB = 45°

Formula Used:

In a right-angled triangle, tan θ = Perpendicular ÷ Base

Calculations:

In right-angled triangle ΔABD,

⇒ tan 45° = AB ÷ BD

⇒ 1 = 42 ÷ BD

⇒ BD = 42 m

In right-angled triangle ΔABC,

⇒ tan 30° = AB ÷ BC

⇒ 1 ÷ √3 = 42 ÷ BC

⇒ BC = 42√3 m

The distance travelled by the ship is CD, which is the difference between BC and BD.

⇒ Distance CD = BC − BD

⇒ Distance CD = 42√3 − 42

⇒ Distance CD = 42(√3 − 1) m

∴ The correct answer is 42(√3 − 1) m.

Additional Information

Heights and Distances (Trigonometry)

The angle of elevation is the angle formed between the horizontal reference line and the line of sight when looking up at an object. The angle of depression is the angle formed when looking down from a height.

Two Objects on the Same Side

If two objects are observed on the ground from a tower of height h at angles θ₁ and θ₂, the distance separating them is easily calculated as h(cot θ₁ − cot θ₂).

Two Objects on Opposite Sides

When two objects are situated on opposite sides of a central tower of height h, having respective angles of elevation θ₁ and θ₂, the total distance between them is h(cot θ₁ + cot θ₂).

Shortcut Trick

Use the direct relationship: (a³ + b³ + c³ − 3abc) = (a + b + c) × [(a + b + c)² − 3(ab + bc + ca)]

Substitute the given values: 301 = 7 × [7² − 3(ab + bc + ca)]

⇒ 301 ÷ 7 = 49 − 3(ab + bc + ca)

⇒ 43 = 49 − 3(ab + bc + ca)

⇒ 3(ab + bc + ca) = 6 ⇒ ab + bc + ca = 2

∴ The correct answer is 2.

Alternate Method

Given:

Sum of variables (a + b + c) = 7

Sum of cubes (a³ + b³ + c³ − 3abc) = 301

Formula Used:

1. a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − (ab + bc + ca))
2. (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Calculations:

⇒ Let ab + bc + ca = x

⇒ From identity (1): 301 = 7 × (a² + b² + c² − x)

⇒ a² + b² + c² − x = 43 ⇒ a² + b² + c² = 43 + x

⇒ From identity (2): (7)² = (a² + b² + c²) + 2x

⇒ 49 = (43 + x) + 2x

⇒ 49 = 43 + 3x

⇒ 3x = 49 − 43

⇒ 3x = 6

⇒ x = 2

∴ The correct answer is 2.

Additional Information

Special Case: a + b + c = 0

If the sum of variables is zero, then a³ + b³ + c³ = 3abc.

Alternative Form of Identity

a³ + b³ + c³ − 3abc = 1/2(a + b + c)[(a − b)² + (b − c)² + (c − a)²].

Square of Trinomial

The expression (a + b + c)² always equals a² + b² + c² + 2(ab + bc + ca).

Given: 

SP of 3 dozens oranges = Rs. 405

Loss = 25%

Concept used:

3 dozen = 36 oranges [1 dozen = 12 oranges]

Calculation:

According to the question

SP of 36 oranges = Rs. 405

Cost price of 36 oranges = Rs. (405/75 × 100)

⇒ Rs. 540

Now,

He needs to earn a profit of 20% in the transaction = Rs. (540 × 120/100)

⇒ Rs. 648

Now,

Oranges should he sell for Rs. 288 is

⇒ (36/648 × 288)

⇒ (288/18)

⇒  16

∴ The required oranges is 16

Shortcut Trick

Concept used:

 $\frac{N_1 \times P_1}{Rs_1} = \frac{N_2 \times P_2}{Rs_2}$ 

N₁ = 36 , P₁ = 75, Rs₁ = 405 and N2 = ?, P2 = 120, Rs2 = 288

Calculation:

⇒ $\frac{36 \times 75}{405} = \frac{N_2 \times 120}{288}$ 

⇒ N₂ = 16

Calculation:

The total imports in 2014 and 2016 = (300 + 400) = 700

The total exports in 2014 and 2016 = (360 + 440) = 800

Required percentage = [(800 – 700)/800 × 100]

⇒ (100/800 × 100)

⇒ 12.5%

∴ The required percentage is 12.5%

Given:

The sides of a triangular park =  60m, 112m and 164m

The rate of levelling a triangular park = Rs. 10.50 m²

Formula used:

S = (a + b + c)/2

By Heron's formula 

Area of triangle = √s(s – a)(s – b)(s – c)

Calculation:

As we know,

S = (a + b + c)/2

⇒ (60 + 112 + 164)/2

⇒ 336/2

⇒ 168 m

Now,

Area of triangle = √s(s – a)(s – b)(s – c)

⇒ √168(168 – 60)(168 – 112)(168 – 164)

⇒ √168 × 108 × 56 × 4)

⇒ √(2 × 2 × 2 × 3 × 7 × 2 × 2 × 3 × 3 × 3 × 2 × 2 × 2 × 7 × 2 × 2)

⇒ (2 × 2 × 2 × 2 × 2 × 7 × 3 × 3)

⇒ 2016 m²

Now,

The cost of levelling of 1 m² of the park = 10.50 

The cost of levelling of 2016 m² of the park = (10.50 × 2016)

⇒ Rs. 21,168

∴ The required cost is Rs. 21,168

Given:

Chords AB and CD of a circle intersect externally at P.

CD = 11.6 cm

PD = 6.4 cm

PB = 7.2 cm

Concept used:

Using basic proportionality theorem,

Calculation:

Let the value of AB be x 

Then, PA = PB + AB

⇒ PA = (7.2 + x) cm

Again,

PC = PD + CD

⇒ PC = (6.4 + 11.6) = 18 cm

Now,

Using basic proportionality theorem,

PB × PA = PD × PC

⇒ 7.2 × (7.2 + x) = 6.4 × 18

⇒ 51.84 + 7.2x = 115.2

⇒ 7.2x = (115.2 – 51.84)

⇒ 7.2x = 63.36

⇒ x = (63.36/7.2)

⇒ x = 8.8 cm

∴ The required value of AB is 8.8 cm

Given:

x2 + 1 – 2x = 0

Formula used:

(a – b)² = a² + b² – 2ab

Calculation:

x2 + 1 – 2x = 0

⇒ (x – 1)² = 0

⇒ x = 1

Now,

x2 (x2 – 2) = 1²(1² – 2)

⇒ 1(1 – 2)

⇒ (1 – 2)

⇒ -1

∴ The required value is -1

Given:

 x2 – $3√ {2x}$ + 1 = 0

Formula used:

(x + 1/x)³ = x3 + 1/x3 + 3(x + 1/x)

Calculation:

x2 – $3√ {2x}$ + 1 = 0

Dividing by x, we get

⇒ x – 3√2 + 1/x = 0

⇒ x + 1/x = 3√2

Now,

(x + 1/x)³ = x³ + 1/x³ + 3(x + 1/x)

⇒ (3√2)³ = x³ + 1/x³ + 3(3√2)

⇒ 54√2 = x³ + 1/x³ + 9√2

⇒ x³ + 1/x³ = (54√2 – 9√2)

⇒ x³ + 1/x³ = 45√2

∴ The required value is 45√2

Alternate Method 

Concept used:

If x + 1/x = a then x3 + 1/x³ = a³ - 3a

Calculation:

According to the question,

⇒ x + 1/x = 3√2 then,

⇒ x3 + 1/x³ = (3√2)³ - 3(3√2)

⇒ x3 + 1/x³ = 54√2 - 9√2

⇒ x3 + 1/x3 = 45√2

Given:

Rate = 10%

Time = 3 years

The difference between the CI and SI = Rs. 279

Formula used:

SI = (P × R × T)/100

Amount = P(1 + r/100)^t

CI = A – P

Calculation:

Let Principal be x

SI = (x × 10 × 3)/100

⇒ 3x/10

Now,

Amount = P(1 + r/100)^t

⇒ x(1 + 10/100)³

⇒ [x(100 + 10)/100]³

⇒ [x(110/100)³]

⇒ (x × 11/10 × 11/10 × 11/10)

⇒ 1331x/1000

Now,

CI = A – P

⇒ CI = (1331x/1000 – x)

⇒ (1331x – 1000x)/1000

⇒ 331x/1000

The difference between the CI and SI = Rs. 279

⇒ 331x/1000 – 3x/10 = 279

⇒ (331x – 300x)/1000 = 279

⇒ 31x/1000 = 279

⇒ x = (9 × 1000)

⇒ Rs. 9000

∴ The required sum is Rs. 9000 

Shortcut Trick

Formula used:

$\frac{P× r^2 × (300 + r)}{100^3 }$ = Difference between C.I & S.I for 3 years

Calculation:

⇒ $\frac{P× 10^2 × (300 + 10)}{100^3 }$ = 279

⇒ P = (279 × 100³)/(100 × 310)

⇒ P = 9000

Concept Used:          

Follow the BODMAS rule according to the table given below:

Calculation:

8 ÷ 2 of 3 – [56 ÷ 4 of {4 × 3 – (9 – 11) ÷ (2 ÷ 4 of 4)}]

⇒ 8 ÷ 2 of 3 – [56 ÷ 4 of {4 × 3 – (9 – 11) ÷ (2 ÷ 16)}]

⇒ 8 ÷ 2 of 3 – [56 ÷ 4 of {4 × 3 – (9 – 11) ÷ 1/8}]

⇒  8 ÷ 2 of 3 – [56 ÷ 4 of {4 × 3 – (9 – 11) × 8}]

⇒ 8 ÷ 2 of 3 – [56 ÷ 4 of {4 × 3 – (-2) × 8}]

⇒ 8 ÷ 2 of 3 – [56 ÷ 4 of {4 × 3 + 2 × 8}]

⇒ 8 ÷ 2 of 3 – [56 ÷ 4 of {12 + 16}]

⇒ 8 ÷ 2 of 3 – [56 ÷ 4 of 28]

⇒ 8 ÷ 2 of 3 – [56 ÷ 112]

⇒ 8 ÷ 2 of 3 – 1/2

⇒ 8 ÷ 6 – 1/2

⇒ 4/3 – 1/2

⇒ (8 – 3)/6

⇒ 5/6

∴ The required value is 5/6

Calculation:

The total production of paper by company A in 2016 and 2019 = (120 + 150) = 270

The total production of paper by company B in 2014 and 2017 = (60 + 150) = 210

The ratio of the total production of paper by company A in 2016 and 2019 to the total production of paper by company B in 2014 and 2017

⇒ (270 : 210)

⇒ 9 : 7

∴ The required ratio is 9 : 7

Given:

The average of 19 numbers = 48

The average of the first 7 numbers = 50.6

The average of last 13 numbers = 47.6

Formula used:

Average = sum of observations/Number of observations

Calculation:

The average of 19 numbers = (19 × 48) = 912

The average of the first 7 numbers = (7 × 50.6) = 354.2

The average of last 13 numbers = (13 × 47.6) = 618.8

Now,

7^th number = (618.8 + 354.2 – 912)

⇒ (973 – 912)

⇒ 61

Sum of remaining 18 numbers = (912 – 61) = 851

The average of the remaining numbers = (851/18)

⇒ 47.3

∴ The required average is 47.3

Alternate MethodLet a₁, a₂......a₁₉ are the number

⇒ a₁ + a₂ +  ...a₁₉ = (19 × 48) = 912        ----(1)

⇒ a1 + a2 +  ...a₇ =  (7 × 50.6) = 354.2     ----(2)

⇒ a₇ + a₈ +  ...a₁₉ = (13 × 47.6) = 618.8   ----(3)

Adding equation (2) and (3)

⇒ a₁ + a₂ + ..a₇ + a₇ + .....a₁₉ = 354.2 + 618.8 = 973

⇒ a₇ + a₁ + a₂ + .....a19 = 973

⇒ a₇ + 912= 973     [From (1)]

⇒ a7 = 61

Hecne new sum = 912 - 61 = 851

∴ New average = 851/18 = 47.3

Calculation:

The total number of applications received by college A from 2014 to 2018 = (220 + 160 + 250 + 180 + 160) = 970

The average number of applications received by college A from 2014 to 2018 = (970/5) = 194

The total number of applications received by college B from 2014 to 2018 = (150 + 240 + 170 + 150 + 240) = 950

The average number of applications received by college B from 2014 to 2018 = (950/5) = 190

The difference between the average number of applications received by college A from 2014 to 2018 and the average number of applications received by college B from 2014 to 2018 = (194 – 190)

⇒ 4

∴ The required difference is 4

Calculation:

The total number of medical stores = 50

The medical stores whose daily earning are less than Rs. 1000 = (16 + 10) = 26

The percentage of medical stores whose daily earning are less than Rs. 1000 = (26/50 × 100) = 52

The medical stores whose daily earning are Rs. 1200 and more = (8 + 6 + 4) = 18

The percentage of medical stores whose daily earning are Rs. 1200 and more = (18/50 × 100) = 36

Now,

The difference between the percentage of medical stores whose daily earnings are less than Rs. 1,000 and the percentage of medical stores whose daily earnings are Rs. 1,200 and above

⇒ (52 – 36)%

⇒ 16%

∴ The required difference is 16%

Given:

The marked price of an article = Rs. 480

The two successive discounts = 15% and 10% 

Profit = 25%

Here A person first buys and then sell so when he buys a goods is called his cost price and company's selling price 

So CP for person CP = MP × (100 - Successive Discount%)/100

Now he sells this on profit of 25%

So SP for person SP = CP × (100 + Profit%)/100

Formula used:

CP = MP × (100 - Successive Discount%)/100

⇒ CP = Rs. (480 × 85/100 × 90/100)

⇒ Rs. (3,672,000/10,000)

⇒ CP = Rs. 367.2

SP = Rs. (367.2 × 125/100)

⇒ Rs. (367.2 × 5/4)

⇒ SP = Rs. 459

Calculation:

For the person  CP = Rs. 367.2, SP = Rs. 459

Profit = SP - CP

Profit = Rs. (459 - 367.2) 

⇒ Rs. 91.8

∴ The required profit is Rs. 91.8

Shortcut Trick

The angle between two chords intersecting inside a circle is half the sum of the central angles of the intercepted arcs.

⇒ ∠AED = (∠AOD + ∠BOC) ÷ 2

⇒ ∠AED = (42° + 104°) ÷ 2

⇒ ∠AED = 146° ÷ 2 = 73°

∴ The correct answer is 73°.

Alternate Method

O C D A B E

42° 104° ?

Given:

∠AOD = 42°

∠BOC = 104°

Calculations:

⇒ Let us construct a line segment joining points A and C.

⇒ According to the Inscribed Angle Theorem, the angle subtended by an arc at the circumference is exactly half of the angle subtended by it at the centre.

⇒ For arc AD, ∠ACD = ∠AOD ÷ 2

⇒ ∠ACD = 42° ÷ 2 = 21°

⇒ For arc BC, ∠BAC = ∠BOC ÷ 2

⇒ ∠BAC = 104° ÷ 2 = 52°

⇒ In ΔACE, the exterior angle is equal to the sum of the two opposite interior angles.

⇒ The exterior angle at E along the line CD is ∠AED.

⇒ ∠AED = ∠ACD + ∠BAC

⇒ ∠AED = 21° + 52° = 73°

∴ The correct answer is 73°.

Additional Information

Interior Intersecting Chords Theorem

When two chords intersect inside a circle, the angle formed between them is half the sum of the central angles subtended by the intercepted arcs.

Formula: ∠Interior = (Arc₁ + Arc₂) ÷ 2

Exterior Intersecting Secants Theorem

When two secants intersect outside a circle, the angle formed is half the difference of the central angles subtended by the intercepted arcs.

Formula: ∠Exterior = (Major Arc − Minor Arc) ÷ 2

Inscribed Angle Theorem

An angle inscribed in a circle is exactly half the measure of the central angle that subtends the same arc.

Formula: ∠Inscribed = ∠Central ÷ 2

Given:

The ratio of the first to the second number = 2 : 7

The ratio of the second to the third number = 5 : 8

Calculation:

The ratio of the first to the second number = (2 : 7) × 5

⇒ 10 : 35

The ratio of the second to the third number = (5 : 8) × 7

⇒ 35 : 56

The ratio of the first to the second to the third number = 10 : 35 : 56

Now,

The ratio of the first to the third number = (10 : 56)

⇒ 5 : 28

∴ The required ratio is 5 : 28

Given:

X and Y start at the same time to ride from place A to place B, which is 80 km away from A

X travels 4 km per hour slower than Y

Y reaches place B and at once turns back meeting X, 16 km from place B.

Calculation:

Let the speed of X be p km/hr

The speed of Y = (p + 4) km/hr

Distance travelled by Y = (80 + 16) = 96 km/hr

Distance travelled by X = (80 – 16) = 64 km/hr

According to the question

⇒ 96/(p + 4) = 64/p

⇒ 96p = 64p + 256

⇒ 32p = 256

⇒ p = 8 km

Now,

The speed of Y is (p + 4) = (8 + 4)

⇒ 12 km/hr

∴ The required speed of Y is 12

Given:

The number of voters are males = 55%

Number of males who are illiterate = 40%

Number of females who are literate = 40%

Calculation:

The number of voters are males = 55%

Number of voters who are females = (100 – 55)% = 45%

Number of males who are illiterate = (55 × 40/100)

⇒ 22

Number of males who are literate = (55 – 22) = 33

Now,

Number of females who are literate = (45 × 40/100)

⇒ 18

Number of females who are illiterate = (45 – 18) = 27

The percentage is the number of illiterate females more than that of the illiterate males = [(27 – 22)/22 × 100]

⇒ (5/22 × 100)

⇒ 500/22

⇒ 22.7%

∴ The required percentage is 22.7%

The correct answer is Potassium.

Key Points

• The fertilizers constitute the essential nutrients needed by the plants, including nitrogen, potassium, and phosphorus.
• The main constituents of fertilizers include- nitrogen, phosphorus, and potassium.
• Hence Potassium is the correct answer.

Additional Information

• Fertilizers are commercial products available in different forms like solid, gas, or liquid.
• Both manure and fertilizers contain salts and organic chemicals that consist of essential plant nutrients such as nitrogen, potassium, phosphorus in known concentrations.
• They make soil fertile and provide nutrients to plants for better growth and higher yield.
• There are six different types of Fertilizers.
• Potassic Fertilizers.
• Complete Fertilizers.
• Phosphate Fertilizers.
• Compound Fertilizers.
• Nitrogenous Fertilizers.
• Organic Nitrogenous Fertilizers.

The correct answer is 1793.

Key Points

• The Cornwallis Code was passed in 1793 by Viceroy Lord Cornwallis which contained provisions for governing the policing, judiciary, and civil administration in British India.
• The Cornwallis Code (1793), the enactment by which Lord Cornwallis, governor-general of India, gave legal form to the complex of measures that constituted the administrative framework in British India known as the Cornwallis, or Bengal, system.

Additional Information

• The system, as codified in these regulations, provided that the East India Company’s service personnel be divided into three branches: revenue, judicial, and commercial.
• Private trade was forbidden to the members of the first two branches, and they were instead compensated by a new and generous scale of pay.
• The land revenue assessment (the major source of revenue) was fixed permanently with zamindars or hereditary revenue collectors.

The correct answer is Higher cation exchange capacity of soil.

Key Points

• Soil fertility decline occurs when the quantities of nutrients removed from the soil in harvested products exceed the quantities of nutrients being applied.
• The nutrient requirements of the crop are met from soil reserves until these reserves cannot meet crop demands.
• This results in a reduction of plant growth and yield.
• Nutrients may be removed from the soil by:
• Growing extensive crops
• Soil erosion
• Leaching.
• Alkalisation of soil
• Salinisation of soil
• Waterlogging
• Higher cation exchange usually indicates more clay and organic matter is present in the soil, high CEC soils generally have greater water holding capacity than low CEC soils.
• Hence Higher cation exchange capacity of soil is NOT responsible for the loss of fertility of agricultural land.

Additional Information

• Fertility can be maintained with the maintenance of soil organic matter, soil structure, soil nutrient status and satisfactory soil pH.
• This can be achieved in cropping systems by:
• including pasture phases and leguminous crops
• including the addition of soil amendments or fertilisers
• employing a reduced tillage system
• retaining crop residues on site.

The correct answer is 7.

Key Points

• 7 Rajya Sabha seats come from the state of Assam.
• The Number of Members of the Rajya Sabha to be elected from Each States/Union Territory has been fixed by the Fourth Schedule of the Constitution.
• In India, the seats of states/Union territory are dependent on the Larger Size of the population get more Representatives seats than the states with Smaller Populations.
• This table shows the number of seats allocated to the states or union territory of India.

Additional Information

The correct answer is Paul R Milgrom and Robert B Wilson.

• American economists Paul Milgrom and Robert Wilson have been awarded the 2020 Nobel Prize in economic sciences.
• Milgrom and Wilson, who are professors at Stanford University in California, were recognized for theoretical discoveries that improved how auctions work.
• They also designed auction formats for goods and services that are difficult to sell in a traditional way, such as radio frequencies.

Additional Information 

Nobel Prize Winners 2020