SSC CHSL 2020 Official Paper 35 (Held on: 12 Aug 2021 Shift 2) (Previous Year Paper)

Here the correct answer is Seeming disorderly yet having a structure.

Key Points

• Let's look at the meaning of the given idiom:-
• Method to one’s madness -  good reasons for one's actions even though they may seem foolish or strange. (किसी के कार्यों के लिए अच्छे कारण भले ही वे मूर्खतापूर्ण या अजीब लगें)
• For Example - Though his staff is often confused by the way he runs the office, I've found that there's a method to his madness.
• Thus, the correct answer is Option 4.

Here the correct answer is Cause.

Key Points

• Let's look at the meaning of the given word:-
• Wreak - cause (a large amount of damage or harm). (क्षति या हानि की एक बड़ी मात्रा का कारण )
• For Example - Torrential rainstorms wreaked havoc yesterday.
• Let's look at the meaning of the words given in options:-
• Cause - a person or thing that gives rise to an action, phenomenon, or condition. (कारण)
• Fail - be unsuccessful in achieving one's goal. (विफल)
• Neglect - not pay proper attention to; disregard. (उपेक्षा करना)
• Forget - fail to remember. (भूल जाना)
• Thus, after looking at the meanings of the given words, it is clear that the correct synonym for wreak is Cause.
• Therefore, the correct answer is Option 3.

The correct answer is 'and have been caught'.

Key Points

• The given sentence is grammatically incorrect.
• According to the “Subject-Verb Agreement Rule”, a singular subject always takes a singular verb and a plural subject always takes a plural verb.
• In the given sentence, ‘Driver’ is a singular subject that will take ‘has’ as a singular verb.
• Hence, ‘has been caught’ is the most appropriate answer.

Correct Sentence: Despite warnings, the driver continued to speed and has been caught by the traffic police.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• "Subject-Verb Agreement Rule" के अनुसार, एक singular subject हमेशा singular verb लेता है और एक plural subject हमेशा एक plural verb लेता है।
• दिए गए वाक्य में, 'Driver' एक Singular विषय है जो 'has' को Singular Verb के रूप में लेगा।
• इसलिए, 'has been caught' सबसे उपयुक्त उत्तर है।

The correct answer is 'had received'.

Key Points

• The given underlined part is grammatically incorrect.
• 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 received’ is the most appropriate answer. 

Correct Sentence: I would have told you if I had received the medicines.

Hinglish

• दिया गया रेखांकित भाग व्याकरण की दृष्टि से गलत है।
• 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 received' सबसे उपयुक्त उत्तर है।

The correct answer is 'BADC'.

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'.
• Sentence B will be the starting line because it contains the main idea of the para jumble i.e. Refund(a play).
• Sentence A states that Wasserkopf returned to his school and asked for a refund of his tuition fee. So, A will follow B.
• Further, Sentence D states that he further declared that he was asking for a refund because he had learned nothing at school & Sentence C states that the situation changed when the Mathematics teacher asked him to calculate the total amount of his refund. So, C will follow D.
• Thus, the correct sequence is:
• B: ‘Refund’ by Karinthy is a hilarious play about a student named Wasserkopf.
• A: Wasserkopf returns to his school and asks for a refund of his tuition fee.
• D: He further declares that he had learnt nothing at school in all the years.
• C: However, the situation changes when the Mathematics teacher asks him to calculate the total amount.

Correct Sequence: ‘Refund’ by Karinthy is a hilarious play about a student named Wasserkopf. Wasserkopf returns to his school and asks for a refund of his tuition fee. He further declares that he had learnt nothing at school in all the years. However, the situation changes when the Mathematics teacher asks him to calculate the total amount.

Here the correct answer is Angryest.

Key Points

• The correct answer i.e. angryest is incorrectly spelled.
• Let's look at its correct spelling and meaning:-
• Angriest - It is the superlative degree of angry. It means feeling or showing strong annoyance, displeasure, or hostility; full of anger. (मजबूत झुंझलाहट, नाराजगी या शत्रुता महसूस करना या दिखाना; क्रोध से भरा हुआ)
• Thus, the correct answer is Option 2.

Additional Information

• Let's look at the meaning of the other words given in options:-
• Straightest - It is the superlative degree of straight. It means extending or moving uniformly in one direction only; without a curve or bend. (केवल एक दिशा में समान रूप से विस्तार या बढ़ना; बिना वक्र या मोड़ के)
• Healthiest - It is the superlative degree of healthy. It means in a good physical or mental condition; in good health. (अच्छी शारीरिक या मानसिक स्थिति में; तंदुरुस्त)
• Disinterest - the state of not being influenced by personal involvement in something; impartiality. (उदासीनता; किसी चीज़ में व्यक्तिगत भागीदारी से प्रभावित न होने की अवस्था; निष्पक्षता)

The correct answer is 'and prays together'.

Key Points

• The given sentence is grammatically incorrect.
• According to the “Subject-Verb Agreement Rule”, a singular subject always takes a singular verb and a plural subject always takes a plural verb.
• In the given sentence, ‘All ladies’ is a plural subject that will take ‘pray’ as a plural verb.
• Hence, ‘and pray together’ is the most appropriate answer.

Correct Sentence: All the ladies of the colony assemble in temple and pray together on Sunday evenings.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• "Subject-Verb Agreement Rule" के अनुसार, एक singular subject हमेशा singular verb लेता है और एक plural subject हमेशा एक plural verb लेता है।
• दिए गए वाक्य में, 'All ladies' एक plural subject है जो 'pray' को plural verb के रूप में लेगा।
• इसलिए, 'and pray together' सबसे उपयुक्त उत्तर है।

Here the correct answer is Cannibal.

Key Points

• Let's look at the meaning of the correct answer:-
• Cannibal - a person who eats the flesh of other human beings. (एक व्यक्ति जो दूसरे मनुष्यों का मांस खाता है; नरभक्षक)
• For Example - He was not an ordinary boy, because he had become a cannibal, which means he killed people and ate them!
• Thus, the correct answer is Option 3.

Additional Information

• Let's look at the meaning of the other words given in options:-
• Tribal - of or characteristic of a tribe or tribes. (जनजातीय)
• Humane - having or showing compassion or benevolence. (दयालु)
• Ethnic - relating to a population subgroup (within a larger or dominant national or cultural group) with a common national or cultural tradition. (संजाति विषयक)

The correct answer is 'How many languages are learnt by you at school?'.

Key Points

• The given sentence is an example of Active Voice. As per the given question, we have to change it into Passive Voice.
• The process of transformation is as follows:
• In 'active-passive' transformation except for (who and whom) rest of the Wh-family Pronouns will remain unchanged.
• Here in the given question 'How many languages' will remain unchanged.
• 'do learn' will be changed into 'are learnt'.
• Lastly, the preposition 'by' will be added. 

Correct Sentence: How many languages are learnt by you at school?

Hinglish

• दिया गया वाक्य Active Voice का उदाहरण है। दिए गए प्रश्न के अनुसार हमें इसे Passive Voice में बदलना है।
• परिवर्तन की प्रक्रिया इस प्रकार है:
• 'Active-Passive' परिवर्तन में (who और whom) को छोड़कर शेष Wh- परिवार pronouns अपरिवर्तित रहेंगे।
• यहां, दिए गए प्रश्न में 'How many languages' अपरिवर्तित रहेंगी।
• 'do learnt' को 'are learnt' में बदल दिया जाएगा।
• अंत में, preposition 'by' जोड़ा जाएगा।

The correct answer is 'ADBC'.

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 off a story, starting of an incident or an event, or it starts with 'most' or 'once'.
• Sentence A will be the starting line because it contains the main idea of the para jumble i.e. the tailor and his wife discovering that their son was not in the house.
• However, Sentence D states that they looked in the garden, and did not find him there. So, D will follow A.
• Further, Sentence B states that the father after looking in the garden went to the roadside and shouted, “John!” & Sentence C states that no one answered. So, C will follow B.
• Thus, the correct sequence is:
• A: One day the tailor and his wife discovered that their son was not in the house.
• D: They looked in the garden, and did not find him there.
• B: The father went to the roadside and shouted, “John!”
• C: No one answered.

Correct Sequence: One day the tailor and his wife discovered that their son was not in the house. They looked in the garden, and did not find him there. The father went to the roadside and shouted, “John!” No one answered.

The correct answer is 'Open'.

Key Points

• The most appropriate antonym of the given word 'Surreptitious' is 'Open'.
• Surreptitious: done secretly; kept secret, especially because it would not be approved of. (गुप्‍त रीति से किया गया)
• Example: I had a surreptitious look at what she was writing.
• Open: not closed or covered. (खुला, अनढका या अनावृत)
• Example: She stared at me with her eyes wide open.

Correct Answer: Open

Additional Information

• Let's look at the meaning of other words:
• Secret: something that is not or must not be known by other people. [गोपनीय बात (जो दूसरों को न पता हो न पता चले), दूसरों से छिपाने योग्‍य बात]
• Lazy: (used about a person) not wanting to work. [(व्‍यक्ति) जो काम न करना चाहे; आलसी, कामचोर]
• Slow: moving, doing something, or happening without much speed; not fast. (धीमी गति से चलते, करते या घटित होते हुए, धीमा या धीमे; वेग से नहीं, मंद)

Here the correct answer is To become difficult to control.

Key Points

• Let's look at the meaning of the given idiom:-
• Get out of hand - to become difficult to control; if a person or a situation gets out of hand, you are no longer able to control them. (नियंत्रित करना मुश्किल हो जाना; यदि कोई व्यक्ति या स्थिति हाथ से निकल जाती है, तो आप उन्हें नियंत्रित नहीं कर पाएंगे)
• For Example - It was the end of term and the children were getting a little out of hand.
• Thus, the correct answer is Option 3.

The erroneous spelling is 'proccesion'.

Key Points

• Among the given Options the incorrectly spelt word is 'proccesion'.
• Its correct spelling is 'Procession'.
• It means 'a number of people, vehicles, etc. that move slowly in a line, especially as part of a ceremony'. (लोगों, वाहनों आदि का पंक्ति बनाकर मंद गति से चलने की गतिविधि, विशेषतः किसी समारोह के प्रसंग में; जुलूस, शोभायात्रा)
• Example: The procession was very imposing.

Additional Information

• Let's look at the meaning of other words:
• Proclaim: to make something known officially or publicly. (किसी बात की औपचारिक या सार्वजनिक रूप से घोषणा करना)
• Procurement: the action of obtaining or procuring something. (कुछ प्राप्त करने या प्राप्त करने की क्रिया)
• Problem: a thing that is difficult to deal with or to understand. (समस्‍या, मसला जिससे निपटना या जिसे समझना कठिन हो)

The correct answer is 'still'.

Key Points

• The given sentence is grammatically incorrect.
• 'Still' is used to say an action or situation continues to the present because it has not finished.
• It often refers to something happening for longer than expected.
• ​Example: Even though she doesn't really have the time, she still offered to help.
• The given sentence states that in spite of being neighbors they did not greet each other.
• Hence, ‘still’ is the most appropriate answer.

Correct Sentence: Despite living in the same neighbourhood, we still did not greet each other.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• 'Still' का प्रयोग यह कहने के लिए किया जाता है कि कोई क्रिया या स्थिति वर्तमान में जारी है क्योंकि यह समाप्त नहीं हुई है।
• यह अक्सर अपेक्षा से अधिक समय तक होने वाली किसी चीज़ को संदर्भित करता है।
• दिए गए वाक्य में कहा गया है कि पड़ोसी होते हुए भी वे एक दूसरे का अभिवादन नहीं करते।
• इसलिए, 'Still' सबसे उपयुक्त उत्तर है।

The correct answer is 'narrative'.

Key Points

• The most appropriate synonym of the given word 'Saga' is 'Narrative'.
• Saga: a very long story; a long series of events. (बहुत लंबी कहानी; घटनाओं की लंबी शृंखला)
• Example: Getting our car back turned into quite a saga.
• Narrative: the description of events in a story. (कथा में घटनाओं का वर्णन)
• Example: He is writing a detailed narrative of his life on the island.

Correct Answer: narrative.

Additional Information

• Let's look at the meaning of other words:
• Abuse: to use something in a bad or dishonest way. (किसी वस्‍तु को बुरे या ग़लत ढंग से प्रयुक्त करना)
• Sport: physical games or activities that you do for exercise or because you enjoy it. [खेल-कूद, क्रीड़ाएँ (व्‍यायाम या आनंद के लिए शारीरिक खेल या अन्‍य क्रियाकलाप)]
• Film: a story, play, etc. shown in moving pictures at the cinema or on television. [सिनेमाघर या टेलीविज़न पर दिखाया जाने वाला चलचित्र (कथा, नाटक आदि को प्रस्‍तुत करने वाला); फ़िल्‍म]

The correct answer is 'The chemist told me that he could not take those medicines back as they were special medicines.'

Key Points

• The given sentence is in Direct Speech. As per the given question, we have to change it into Indirect Speech.
• The process of transformation is as follows:
• Here, in the given question 'said to' will be changed into 'told' because the reporting speech has an object.
• The conjunction 'that' will be added and comma and inverted commas will be removed.
• The pronoun 'I' will be changed into 'he'.
• 'cannot take' will be changed into 'could not take'.
• 'These' will be changed into 'those'.
• 'are' will be changed into 'were'.

Correct Sentence: The chemist told me that he could not take those medicines back as they were special medicines.

Hinglish

• दिया गया वाक्य Direct Speech में है। दिए गए प्रश्न के अनुसार हमें इसे Indirect Speech में बदलना है।
• परिवर्तन की प्रक्रिया इस प्रकार है:
• यहां, दिए गए प्रश्न में 'said to' को 'told' में बदल दिया जाएगा क्योंकि reporting speech में एक object है।
• संयोजन 'that' जोड़ा जाएगा और अल्पविराम और उल्टे अल्पविराम हटा दिए जाएंगे।
• सर्वनाम 'I' को 'he' में बदल दिया जाएगा।
• 'cannot take' को 'could not take' में बदल दिया जाएगा।
• 'are' को 'were' में बदल दिया जाएगा।

The correct answer is 'plethora'.

Key Points

• The most appropriate word for the given blank is 'plethora'.
• It means 'a very large amount of something, usually more than is needed or can be used'. (आवश्यकता से अधिक; भरमार; प्रचुरता; बाहुलता; आधिक्य)
• Example: I have a plethora of shirts, so I will donate some.
• The given sentence states that Delhi University’s new institution called the School of Public Health is offering a large number of programs.
• A plethora of something is a large amount of it, especially an amount of it that is great than you need, want, or can cope with.

Correct Sentence: Delhi University’s new institution called School of Public Health will offer a plethora of programs.

Additional Information

• Let's look at the meaning of other words:
• few: not many. (थोड़े-से, गिने-चुने; बहुत-से नहीं)
• scale: the size of something, especially when compared to other things. [किसी वस्‍तु का आकार, पैमाना (विशेषतः तुलनात्‍मक दृष्टि से)]
• branch: one of the main parts of a tree that grows out of the thick central part (trunk). (पेड़ के मोटे मध्य भाग से निकले मुख्य खंडों में से एक; शाखा, टहनी, डाल)

The correct answer is 'Samaritan'.

Key Points

• The most appropriate word for the given group of words is 'samaritan'.
• It means 'a charitable or helpful person'. (एक धर्मार्थ या मददगार व्यक्ति)
• Example: Suddenly, miraculously, a Good Samaritan leaned over and handed the cashier a dollar bill on my behalf. 

Correct Answer: Samaritan.

Additional Information

• Let's look at the meaning of other words:
• Patron: a person who gives money and support to artists, writers, and musicians. (कलाकारों, लेखकों और संगीतज्ञों की धन से सहायता करने वाला व्‍यक्ति; सरंक्षक, आश्रयदाता)
• Donor: a person who gives blood or a part of his/her own body for medical use. (डॉक्‍टरी चिकित्‍सा के लिए अपने रक्त अथवा अंग का दान करने वाला व्‍यक्ति; शरीरांगदाता अथवा रक्तदाता)
• Contributor: a person who contributes to something. (योगदान करने वाला व्‍यक्ति; अंशदाता, सहयोगकर्ता)

The correct answer is 'Cheerful'.

Key Points

• The most appropriate antonym of the given word 'Morose' is 'cheerful'.
• Morose: bad-tempered, and not saying much to other people. [बदमिज़ाज, असौम्‍य (और अपने तक सीमित)]
• Example: His face suddenly took on a morose expression.
• Cheerful: feeling happy; showing that you are happy. (प्रसन्‍न, प्रमुदित; हँसमुख)
• Example: Bhavna is always very cheerful.

Correct Answer: Cheerful.

Additional Information

• Let's look at the meaning of other words:
• Gloomy: causing or feeling depression or despondency. (उदास)
• Sullen: looking bad-tempered and not wanting to speak to people. [चिड़चिड़ा और उदासी भरा (लोगों से बोलने का अनिच्‍छुक); खिन्‍न]
• Mournful: very sad. (शोकग्रस्‍त, बहुत दुखी, मातमी)

The correct answer is 'resume'.

Key Points

• The most appropriate word for the given blank is 'resume'.
• It means 'to begin again or continue after a pause or interruption'. [पुनः आरंभ होना या करना, जारी रहना या रखना (विराम या बाधा के बाद)]
• Example: Normal service will resume as soon as possible.
• If we resume activity or if it resumes, it begins again.

Correct Sentence: It has been announced that after a gap of almost two months, domestic flight services will resume from next week.

Additional Information

• Let's look at the meaning of other words:
• Advance: to move forward. (आगे बढ़ना)
• Retake: take (something) again. [(कुछ) फिर से लो]
• Proceed: to continue doing something; to continue being done. (कुछ करना जारी रखना; कोई बात होते रहना)

The correct answer is 'much'.

Key Points

• The most appropriate option for the given blank is 'much'.
• It is used with uncountable nouns, mainly in negative sentences and questions, or after as, how, so, too to show a large amount of something. (अगणनीय संज्ञाओं में, मुख्‍यतया निषेद्यवाचक और प्रश्‍नवाचक वाक्‍य अथवा as, how, so, too के बाद प्रयुक्त) किसी वस्‍तु की अधिक मात्रा दिखाने के लिए)
• Example: You’ve given me too much food.
• ‘Many’ is used for countable nouns like 'how many apples' and ‘much’ is used for uncountable nouns like 'how much money do you have', 'how much love/hate', etc.
• Similarly, the given passage states that Nehru received much love and affection.
• Hence, ‘much’ is the most appropriate answer.

Correct Paragraph: "Nehru was a great patriot. He said, “I have received so much love and affection from the Indian people (2) ______ nothing that I can do can repay (3) ______ a small fraction of it, and indeed there (4) ______ be no repayment of the great affection my fellow countrymen have showered on (5) ______."

The correct answer is 'that'.

Key Points

• The most appropriate word for the given blank is 'that'.
• ‘That’ is used after certain verbs, nouns, and adjectives to introduce a new sentence.
• Hence, ‘that’ is the most appropriate answer. 

Correct Paragraph: "Nehru was a great patriot. He said, “I have received so much love and affection from the Indian people that nothing that I can do can repay (3) ______ a small fraction of it, and indeed there (4) ______ be no repayment of the great affection my fellow countrymen have showered on (5) ______."

The correct answer is 'even'.

Key Points

• The most appropriate word for the given blank is 'even'.
• Even is used for 'emphasizing something that is surprising or to intensify a statement'.
• For Example - They have never even heard of the United States.
• The given passage emphasizes the fact that Nehru could not repay even a small fraction of the love and compassion that he got from the Indian people.
• Hence, ‘even’ is the most appropriate answer. 

Correct Paragraph: "Nehru was a great patriot. He said, “I have received so much love and affection from the Indian people that nothing that I can do can repay even a small fraction of it, and indeed there (4) ______ be no repayment of the great affection my fellow countrymen have showered on (5) ______."

The correct answer is 'can'.

Key Points

• The most appropriate verb for the given blank is 'can'.
• Can is used for showing that it is possible for somebody/something to do something.
• The given passage states that it is impossible to repay the great affection that Nehru received.
• Hence, ‘can’ is the most appropriate answer. 

Correct Paragraph: "Nehru was a great patriot. He said, “I have received so much love and affection from the Indian people that nothing that I can do can repay even a small fraction of it, and indeed there can be no repayment of the great affection my fellow countrymen have showered on (5) ______."

The correct answer is 'me'.

Key Points

• The most appropriate pronoun for the given blank is 'me'.
• ‘Me’ is a pronoun that is used by the speaker to refer to himself/herself as Nehru referred to himself in the given passage.
• Hence, ‘me’ is the most appropriate answer. 

Correct Paragraph: "Nehru was a great patriot. He said, “I have received so much love and affection from the Indian people that nothing that I can do can repay even a small fraction of it, and indeed there can be no repayment of the great affection my fellow countrymen have showered on me."

The logic followed here is:

Zambia ∶ Lusaka → The Lusaka city is the capital of Zambia country.

Now check all the options:

Option (1) Kuwait ∶ Seoul → Kuwait city is the capital of Kuwait country and the Seoul city is the capital of South Korea country.

Option (2) Bahrain ∶ Manama → Manama city is the capital of Bahrain country.

Option (3) Israel ∶ Tehran → The Jerusalem city is the capital of Israel country and the Tehran city is the capital of Iran country.

Option (4) Bhutan ∶ Dhaka → The Thimphu city is the capital of Bhutan country and Dhaka city is the capital of Bangladesh country.

Hence, ‘Bahrain ∶ Manama’ is the correct answer.

The image obtained when the paper is unfolded is,

Hence, option 4 is the correct answer.

According to the BODMAS rule:

 

Option 1 : - and +

Given:

6 + 12 × 8 ÷ 16 - 12 = 8

After interchange the signs;

6 - 12 × 8 ÷ 16 + 12 = 8

By BODMAS rule

6 - 12 × 0.5 + 12 = 8

6 - 6 + 12 = 8

18 - 6 = 8

12 = 8 (LHS ≠ RHS)

Option 2 : + and ×

Given: 

6 + 12 × 8 ÷ 16 - 12 = 8

After interchange the signs;

6 × 12 + 8 ÷ 16 - 12 = 8

By BODMAS rule

6 × 12 + 0.5 - 12 = 8

72 + 0.5 - 12 = 8

72.5 - 12 = 8

60.5 = 8 (LHS ≠ RHS)

Option 3: × and ÷

Given:

6 + 12 × 8 ÷ 16 - 12 = 8

After interchange the signs;

6 + 12 ÷ 8 × 16 - 12 = 8

By BODMAS rule

6 + 1.5 × 16 - 12 = 8

6 + 24 - 12 = 8

30 - 12 = 8

18 = 8 (LHS ≠ RHS)

Option 4: ÷ and +

Given:

6 + 12 × 8 ÷ 16 - 12 = 8

After interchange the signs;

6 ÷ 12 × 8 + 16 - 12 = 8

By BODMAS rule

0.5 × 8 + 16 - 12 = 8

4 + 16 - 12 = 8

20 - 12 = 8

**8 = 8 **(LHS = RHS)

Hence, the answer is “÷ and +”.

Given:

Here the pattern followed in each row is:

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

Row 1: 16, 35, 9

(1^st number ÷ 2) + (3^rd number × 3) 

= (16 ÷ 2) + (9 × 3)

= 8 + 27

= 35 =  2^nd number 

Row 2: 18, 33, 8

(1^st number ÷ 2) + (3^rd number × 3) 

= (18 ÷ 2) + (8 × 3)

= 9 + 24

= 33 =  2^nd number 

Similarly,

Column 3: 34, ?, 5

(1^st number ÷ 2) + (3^rd number × 3) 

= (34 ÷ 2) + (5 × 3)

= 17 + 15

= 32 =  2^nd number 

Hence, “32” is correct answer.

The logic followed here is:

The colours of the rainbow are Red, Orange, Yellow, Green, Blue, Indigo and Violet.

Option (1) Yellow → Yellow is the colour in the rainbow.

Option (2) Orange → Orange is the colour in the rainbow.

Option (3) Black → Black is not the colour in the rainbow.

Option (4) Violet → Violet is the colour in the rainbow.

All colours are in the rainbow except ‘Black’. 

Hence, “Black” is an odd one.

Important Points

Three Primary Colours: Red, Yellow, Blue.

Three Secondary Colours: Orange, Green, Violet.

Six Tertiary Colours: Red-Orange, Yellow-Orange, Yellow-Green, Blue-Green, Blue-Violet, Red-Violet, which are formed by mixing a primary with a secondary.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'TXDB’.

Hence, “TXDB” is the odd one.

The pattern followed here is,

• Let (1^st number : 2^nd number)

(1^st number ÷ 2) × (1^st number + 1) = 2^nd number

Now follow the steps:

8 ∶ 36

• (8 ÷ 2) × (8 + 1) = 4 × 9 = 36 = 2^nd number

Similarly,

12 : ?

• (12 ÷ 2) × (12 + 1) = 6 × 13 = 78 = 2^nd number

Hence, "78" is correct answer.

The table is alphabets place value:

The pattern followed here is:

'RATIONALE' is written as 'NOIELATAR'

Similarly,

'STATEMENT' = ?

Hence, 'STATEMENT' is coded as "METTNEATS".

The logic followed here is:

‘Risk’ is related to ‘Hazard’ → Hazard is the synonyms word of Risk.

Similarly,

‘Absurd’ is related to ‘Ridiculous’ → Ridiculous is the synonyms word of Absurd.

Hence, ‘Ridiculous’ is the correct answer.

The logic followed here is:

Number - 2 = perfect square root of number

Option (1) 198 → 198 - 2 = 196 → It is perfect square of 14.

Option (2) 146 → 146 - 2 = 144 → It is perfect square of 12.

Option (3) 378 → 378 - 2 = 376 → It is not a perfect square of any number.

Option (4) 326 → 326 - 2 = 324 → It is perfect square of 18.

Hence, “378” is an odd one.

Opposite surface of the open dice can be found by the below method:-

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

Below are the opposite surfaces:-

 

Hence, ‘2’ is the number on the opposite side of the number ‘1'

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

1. Center position figure rotate 90 degree an anticlockwise and 45 degree an anticlockwise respectively.

2. Upper middle small figure rotate in clockwise direction into the box and each time rotate flip vertically.

Final series is

Hence, ‘option 4’ is the correct answer.

Statements:

Some dogs are carnivores.

All carnivores are animals.

Some animals are tigers.

The least possible diagram for the given statements is as follows

Conclusions:

I. Some tigers are dogs → False (It is possible but not definite because no statement given for relationship between tigers and dogs)

The possible diagram is:

II. Some carnivores are tigers → False (It is possible but not definite because no statement given for relationship between carnivores and tigers)

The possible diagram is:

III. All dogs are animals → False (It is possible but not definite because no statement given for relationship between dogs and animals)

The possible diagram is:

Hence, “None of the conclusions follow” is the correct answer.

The table is alphabets place value:

The pattern followed here is:

• consonants is coded as its opposite alphabets place value.
• vowels is coded as + 3 alphabet place value

BIRTH is coded as 25129719

And,

DEVIL is coded as 23851215

Similarly,

GLORY = ?

Hence, 'GLORY' is coded as "20151892".

The logic here is,

RUNZ ∶ IGLC

Similarly,

WZSE : ?

Hence, "DBGX" is the correct answer.

We know that,

Average = (Sum of Observations) ÷ (Total Numbers of Observations)

• Sum of Observations = Average × Total Numbers of Observations

Given:

1) Average marks of eight students in the Mathematics exam are 75.

• Sum of eight students mathematics marks = 75 × 8 = 600

2) If the highest and lowest marks are removed, then the average marks become 80.

• Sum of six students mathematics marks = 80 × 6 = 480

3) The ratio of the highest marks to the lowest marks is 3 : 1.

Let the common factor of highest and lowest marks is x.

So highest number is 3x and lowest number is x.

From equation (1),

Sum of eight students mathematics marks = highest marks + lowers marks + Sum of six students mathematics marks

Putting the value from eq 1 and 2 and 3.

=> 600 = 3x + x + 480

=> 600 – 480 = 4x

=> 4x = 120

=> x = 30

So, highest number is = 3x = 3 × 30 = 90

The highest marks percentage of the sum of the all the marks obtained by the eight students is

=> (90 × 100) / 600 %

=> 9000 / 600 %

=> 15 %

Hence, the correct answer is “15 %”.

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

Given :- c _ t e m c p _ e m _ p t _ _

By checking options and substituting accordingly.

Option (1) p t c e m → c p t e m / c p t e m / c p t e m

Here c p t e m is repeated.

Option (2) c t m e p → c c t e m / c p t e m / m p t e p

Option (3) m p e t c → c m t e m / c p p e m / e p t t c

Option (4) p e c t m → c p t e m / c p e e m / c p t t m

     ♦  Option (1) gives a pattern of c p t e m - c p t e m - c p t e m.

Hence, ‘p t c e m’ is the correct answer.

The logic followed here is:

1^st number + 2^nd number = 3^rd number

For {12, 20, 32}

12 + 20 = 32

Similarly, 

Option 3: {18, 30, 48}

18 + 30 = 48

Hence, the correct answer is "{18, 30, 48}".

Alternate Method

The logic followed here is:

(2^nd number - 1^st number) × 4 = 3^rd number

For {12, 20, 32}

(20 - 12) × 4 = 8 × 4 = 32

Similarly, 

Option 3: {18, 30, 48}

(30 - 18) × 4 = 12 × 4 = 48

Hence, the correct answer is "{18, 30, 48}".

Given:

‘K $ D’ means ‘K is the father of D’.

‘K < D’ means ‘K is the wife of D’.

‘K > D’ means ‘K is the daughter of D’.

'K @ D’ means ‘K is the son of D’.

Let us first decode the given symbols and then draw a family tree.

 

Now break the code of ‘H > R $ S @ T > N’

1. H > R

‘H > R’ means ‘H is the daughter of R’

2. R $ S

‘R $ S’ means ‘R is the father of S’.

3. S @ T

'S @ T’ means ‘S is the son of T’

4. T > N

‘T > N’ means ‘T is the daughter of N’

Hence, H is ‘Grand-daughter’ of N$.

According to the sequence in the dictionary:

The correct order of the given words is:

3. Preparation
4. Prescription
5. Presentation
6. Pretension
7. Preventive

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

The number of triangles in the given figure is:

 

So, there are a total of 12 triangles in the figure.

Hence, ‘12’ is the correct answer.

The embedded part of this image is:

Hence, option (4) is the correct answer.

The pattern followed here is:

 

Hence, '48' is the correct answer.

The Venn diagrams best represent the relationship between - Men, Uncles, Educated figures are shown below:

All uncles are men and some uncles and men are educated.

Hence, ‘option 3’ is the correct answer.

Given:

A train, 500 m long, passes a railway platform 400 m long, in one minute with uniform speed.

Speed of man = 18 km/h

Formula used:

Speed = Distance/time

When running in the opposite direction on the parallel track, Relative Speed = S₁ + S₂

Calculation:

Total distance = 500 m + 400 m = 900 m

Speed of train in m/sec = 900/60 = 15 m/sec

Relative Speed = 15 + 18 × 5/18 = 15 + 5 = 20 m/sec

Time taken by the train to pass a man riding a motorbike

⇒ Distance/Relative Speed = 500/20

⇒ 25 seconds

Given:

A man invested Rs.2,400 at 5% and Rs.5,400 at 9% simple interest

Formula used:

Simple Interest(SI) = 1/100 × Principal × Rate × Time

Calculation:

Total SI for 6 years = 1/100 × 2400 × 5 × 6 + 1/100 × 5400 × 9 × 6

⇒ 720 + 2916 = 3636

∴ Amount received after 6 years = Principal + SI = 2400 + 5400 + 3636

⇒ Rs. 11436 

∴ The correct answer is Rs. 11436.

Given:

a = 125, b = 127 and c = 129

Formula used:

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

Calculation:

Putting values, we get, 

⇒ a3 + b3 + c3 - 3abc = 1/2 × (125 + 127 + 129) × [(125 - 127)2 + (127 - 129)2 + (125 - 129)2]

⇒ a3 + b3 + c3 - 3abc = 1/2 × 381 × [4 + 4 + 16]

⇒ a3 + b3 + c3 - 3abc =1/2 × 381 × 24

⇒ a3 + b3 + c3 - 3abc = 12 × 381

⇒ a3 + b3 + c3 - 3abc = 4572

∴ The correct answer is 4572.

Given:

In 2015, out of the total number of applications received by colleges A and B together, only 60% were accepted

Calculation:

Total number of applications accepted by colleges A and B together in 2015 = 60/100 × [160 + 240]

⇒ 6/10 × 400

⇒ 240

∴ The correct answer is 240.

Given:

A and B can complete a piece of work in 27 days and 54 days, respectively.

They completed the work in 9 days with the help of C. 

Concept used:

Work = efficiency × time

Calculation:

Total work = LCM [27, 54] = 54

∴ Efficiency of A = 54/27 = 2 units/day 

Efficiency of B = 54/54 = 1 unit/day 

Efficiency of (A + B + C) = 54/9 = 6 units/day

Efficiency of C = Efficiency of (A + B + C) - {Efficiency of A + Efficiency of B}

Efficiency of C = (6 - {2 + 1}) = 3 units/day

Time taken by C to complete eight-ninths of the work alone = 8/9 × 54/3 = 16 days

∴ The correct answer is 16 days.

Given:

O is the centre of a circle of radius 9 cm.

M is a point outside the circle, and MN is a tangent to the circle.

length of MN is 12 cm

Concept used:

Tangent is perpendicular to radius

Calculation:

Tangent is perpendicular to radius ⇒ ∠OPR = 90° 

∴ using PGT in ΔOPR, we get

⇒ OM² = OP² + PM²  

⇒ OM = √(92 + 122)

⇒ √225

⇒ 15 cm

∴ The correct answer is 15 cm.

Shortcut Trick

When an article is marked up by a% and given a discount of b%, the net profit or loss % is found using the successive percentage formula.

Net Effect % = a − b − (a × b) ÷ 100

Here, a = 25 (Markup) and b = 20 (Discount).

⇒ Net Effect % = 25 − 20 − (25 × 20) ÷ 100

⇒ Net Effect % = 5 − 500 ÷ 100 = 5 − 5 = 0%

Since the net percentage change is 0%, there is neither profit nor loss. The given marked price is not needed.

∴ The correct answer is No profit, no loss.

Alternate Method

Given:

Marked Price (MP) = Rs. 3000

Markup = 25% above Cost Price (CP)

Discount = 20% on Marked Price (MP)

Formula Used:

CP = MP × 100 ÷ (100 + Markup %)

Selling Price (SP) = MP × (100 − Discount %) ÷ 100

CP = 2400

MP = 3000

SP = 2400

+25% Markup

-20% Discount

No Profit, No Loss

Calculations:

⇒ CP = 3000 × 100 ÷ (100 + 25)

⇒ CP = 3000 × 100 ÷ 125

⇒ CP = 3000 × 4 ÷ 5 = Rs. 2400

⇒ SP = 3000 × (100 − 20) ÷ 100

⇒ SP = 3000 × 80 ÷ 100 = Rs. 2400

⇒ Here, Cost Price = Selling Price = Rs. 2400.

⇒ When SP and CP are strictly equal, there is absolutely zero profit and zero loss.

∴ The correct answer is No profit, no loss.

Additional Information

Marked Price and Successive Changes

When an item is marked up by x% and then discounted by y%, the net profit or loss can be easily found using the successive change formula: Net % = x − y − (x × y) ÷ 100.

Base of Calculation

Profit and Loss percentage is always evaluated on the Cost Price (CP) unless specifically stated otherwise. Similarly, any discount is strictly calculated on the Marked Price (MP).

Successive Discount

If two successive discounts of d₁% and d₂% are given, the equivalent single discount is [d₁ + d₂ − (d₁ × d₂) ÷ 100]%.

Given:

A shopkeeper bought 95 dozen oranges at Rs. 4.50 each.

7 dozen oranges were rotten and so were discarded.

He sold the remaining oranges at Rs. 78 per dozen

Calculation:

CP of 95 dozen oranges = Rs. 4.50 × 95 × 12 = Rs. 5130

Remaining oranges = 95 - 7 = 88 dozen

SP of 88 dozen oranges = Rs. 78 × 88 = Rs. 6864

∴ Required profit% = [6864 - 5130]/5130 × 100 

⇒ 1734/5130 × 100

⇒ 34%

∴ The correct answer is 34%.

Given:

a = $\frac{\sqrt{5}+2}{\sqrt{5}-2}$ and b = $\frac{\sqrt{5}-2}{\sqrt{5}+2}$

Formula used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

ab =  $\frac{\sqrt{5}+2}{\sqrt{5}-2}$ × $\frac{\sqrt{5}-2}{\sqrt{5}+2}$ = 1

Now (a + b)2 = a2 + b2 + 2ab 

⇒  [$\frac{\sqrt{5}+2}{\sqrt{5}-2}$ + $\frac{\sqrt{5}-2}{\sqrt{5}+2}$]² = a2 + b2 + 2 × 1

⇒  [$\frac{{5}+4 + 4\sqrt5 + {5} +4 - 4\sqrt5}{5-4}$]2 = a2 + b2 + 2

⇒ [18]2 = a2 + b2 + 2

⇒ a2 + b2 = 324 - 2 = 322

∴ 2a2 + 2b2 - 5ab = 322 × 2 - 5 × 1 

⇒ 644 - 5

⇒ 639

Shortcut Trick

Given Ratio P : Q : R = 5 : 7 : 8.

According to the question, Q's share (7 units) = ₹560.

Value of 1 unit = 560 ÷ 7 = ₹80.

Wage of R (8 units) = 8 × 80 = ₹640.

Wage of P (5 units) = 5 × 80 = ₹400.

∴ The correct answer is ₹640 and ₹400.

Alternate Method

Given:

Ratio of daily wages (P : Q : R) = 5 : 7 : 8

Daily wage of Q = ₹560

Formula Used:

Actual Value = Ratio part × Constant factor (x)

Calculations:

Let the daily wages of P, Q, and R be 5x, 7x, and 8x respectively.

⇒ 7x = 560

⇒ x = 560 ÷ 7

⇒ x = 80

Now, finding the wages of R and P:

⇒ Wage of R = 8x = 8 × 80 = ₹640

⇒ Wage of P = 5x = 5 × 80 = ₹400

∴ The correct answer is ₹640 and ₹400.

Additional Information

Ratio and Proportion

A ratio compares two quantities by division. If a : b = c : d, then a × d = b × c.

Unitary Method

This method involves finding the value of a single unit and then multiplying it by the required number of units to find the desired value.

Total Wage Calculation

Total wage of all persons = (Sum of all ratio parts) × Value of one unit. For P, Q, and R, Total = (5+7+8) × 80 = ₹1600.

Calculation:

Production of the company in 2015 and 2016 taken together = 600 + 628 = 1228

Sales in 2017 and 2019 taken together = 500 + 516 = 1016

∴ Required ratio = 1228 : 1016 = 307 : 254

Shortcut Trick

Given 5 tan A = 12 ⇒ tan A = 12/5 (Perpendicular/Base).

For a right-angled triangle, (5, 12, 13) is a Pythagorean triplet, so Hypotenuse = 13.

⇒ sin A = 12/13 and cos A = 5/13.

Expression = (13 × 12/13 + 20 × 12/5) ÷ (15 × 12/5 − 13 × 5/13) = (12 + 48) ÷ (36 − 5) = 60/31 = 1(29/31).

∴ The correct answer is 1(29/31).

Alternate Method

Given: 5 tan A = 12 ⇒ tan A = 12/5

Formula Used: tan A = P/B, sin A = P/H, cos A = B/H

⇒ Let Perpendicular (P) = 12 and Base (B) = 5.

⇒ Hypotenuse (H) = √(12² + 5²) = √(144 + 25) = √169 = 13.

⇒ sin A = 12/13

⇒ cos A = 5/13

⇒ Value = [13 × (12/13) + 20 × (12/5)] ÷ [15 × (12/5) − 13 × (5/13)]

⇒ Value = [12 + 48] ÷ [36 − 5]

⇒ Value = 60/31 = 1(29/31).

∴ The correct answer is 1(29/31).

Additional Information

Trigonometric Ratios

Fundamental ratios in a right-angled triangle: sin θ = P/H, cos θ = B/H, tan θ = P/B.

Pythagorean Triplets

Sets of three integers satisfying a² + b² = c². Examples: (3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25).

Reciprocal Identities

cot A = 1/tan A = B/P; sec A = 1/cos A = H/B; cosec A = 1/sin A = H/P.

Given:

The average age of 7 members of family is 35 years

youngest members are twins and they are 15 years old

Concept used:

Sum = average × number

Calculation:

Total age of 7 members of family is 35 years = 35 × 7 = 245 years

At the time of birth of twins, total age of family of 5 members = 245 - 15 × 7 = 140

∴ At the time of birth of twins, Average age of family of 5 members  =140/5 = 28 years

Calculation:

Average number of computers of type B sold in January, February and June = [360 + 300 + 450]/3 = 1110/3 = 370

∴ 370 exceeds by 20 in the number of computers of type A sold in a certain month 

⇒ Number of computers of type A sold in that month should be 370 - 20 = 350

and 350 computers of type A are sold in May

Shortcut Trick

For divisibility by 11, the difference between the sum of digits at odd positions and even positions must be 0 or a multiple of 11.

Sum of odd positions (2, 9, 7, p, 5) = 23 + p

Sum of even positions (5, 8, 6, 0) = 19

(23 + p) − 19 = 4 + p ⇒ For divisibility, 4 + p = 11 ⇒ p = 7.

Value of (p² + 5) = 7² + 5 = 49 + 5 = 54.

∴ The correct answer is 54.

Alternate Method

Given: Number = 259876p05 is divisible by 11.

Divisibility Rule of 11: Sum of digits at odd places − Sum of digits at even places = 0, 11, 22...

⇒ Let the digits be d₁=2, d₂=5, d₃=9, d₄=8, d₅=7, d₆=6, d₇=p, d₈=0, d₉=5.

⇒ Sum of odd places (S₁) = 2 + 9 + 7 + p + 5 = 23 + p

⇒ Sum of even places (S₂) = 5 + 8 + 6 + 0 = 19

⇒ Difference (D) = S₁ − S₂ = (23 + p) − 19 = 4 + p

⇒ For the number to be divisible by 11, 4 + p must be 11 (since p is a single digit 0-9).

⇒ 4 + p = 11 ⇒ p = 7

⇒ Calculation for (p² + 5):

⇒ (7)² + 5 = 49 + 5 = 54

∴ The correct answer is 54.

Additional Information

Divisibility Rule of 9

A number is divisible by 9 if the sum of all its digits is divisible by 9.

Divisibility Rule of 8

A number is divisible by 8 if the last three digits of the number are divisible by 8.

Divisibility Rule of 11 (Alternative)

Subtract the last digit from the rest of the number; if the result is divisible by 11, the original number is too.

Given:

sin2x = 3 cos2x and 0° ≤ x ≤ 90°

Calculation:

sin2x = 3 cos2x ⇒ sin2x/cos2x = 3

⇒ tan2x = 3

⇒ tanx = √3

⇒ tanx = tan60° 

⇒ x = 60° 

⇒ x/2 = 60°/2

⇒ x/2 = 30°

Given:

A's salary is 15% less than B's salary. B's salary is 30% less than C's salary.

Calculation:

A's salary is 15% less than B's salary ⇒ A's salary : B's salary = 85 : 100 = 17 : 20

B's salary is 30% less than C's salary ⇒ B's salary : C's salary = 70 : 100 = 7 : 10

∴ Salary of A : B : C = 17 × 7 : 20 × 7 : 20 × 10 = 119 : 140 : 200

⇒  A's salary : C's salary = 119 : 200

∴ C's salary is more than A's salary by (200 - 119)/119 × 100

⇒ (81/119) × 100

⇒ 68%

Shortcut Trick

By the Alternate Segment Theorem, the angle between a tangent and a chord equals the angle subtended by that chord in the alternate segment.

⇒ ∠PBC = ∠BAC = 65°

⇒ ∠PCB = ∠BAC = 65°

In ΔBPC, the sum of all interior angles is 180°:

⇒ ∠BPC + 65° + 65° = 180°

⇒ ∠BPC = 180° − 130° = 50°

∴ The correct answer is 50°.

Alternate Method

    65°  ? A B C P O

Given:

ΔABC is inscribed in a circle with center O.

AC = BC and ∠BAC = 65°.

Tangents at B and C meet at external point P.

Calculations:

⇒ The angle subtended by chord BC at the circumference is ∠BAC = 65°.

⇒ The angle subtended by an arc at the center is exactly double the angle subtended at the circumference.

⇒ Central Angle ∠BOC = 2 × ∠BAC = 2 × 65° = 130°.

⇒ The radius drawn to the point of contact is directly perpendicular to the tangent line.

⇒ Therefore, ∠OBP = 90° and ∠OCP = 90°.

⇒ In quadrilateral OBPC, the sum of all internal angles is strictly 360°.

⇒ ∠BOC + ∠OBP + ∠BPC + ∠OCP = 360°

⇒ 130° + 90° + ∠BPC + 90° = 360°

⇒ 310° + ∠BPC = 360°

⇒ ∠BPC = 360° − 310° = 50°

∴ The correct answer is 50°.

Additional Information

Alternate Segment Theorem

The angle between a tangent line and a chord passing through the point of contact is perfectly equal to the angle subtended by that same chord in the alternate segment of the circle.

Angle Between Intersecting Tangents

The angle between two distinct tangents drawn from an external given point to a circle is supplementary to the central angle subtended by the chord connecting their respective points of contact (∠P + ∠O = 180°).

Inscribed Angle Theorem

The angle strictly subtended by an arc at the center is mathematically double the angle subtended by it at any remaining part of the circle's circumference.

Calculation:

Percentage increase in sale of products in 2011 with respect to previous year = [1200 - 800]/800 × 100 = 50%

∴ The sale of products in 2012 should increase 50% from its present value so that it shows the same percent increase as had been shown in 2011

⇒ For same percentage increase sale of products in 2012 should be = 1200 × (100 + 50)/100 = 1200 × 3/2 = 1800

∴ Required percentage = (1800 - 920)/920 × 100

⇒ (880/920) × 100 = 96%

∴ The correct answer is 96%.

Given:

Side QR of a triangle PQR is extended to a point S.

∠PRS = 104° and ∠RQP = $\frac{3}{5}$ ∠QPR

Concept used:

Exterior angle property of triangle ∠QPR + ∠PQR = ∠PRS

Calculation:

Let ∠QPR = p

then by Exterior angle property of triangle, 

⇒ ∠QPR + ∠PQR = ∠PRS

⇒ p + 3/5 × p = 104°  

⇒ 8/5 × p = 104° 

⇒ p = 104° × 5/8 = 65° 

∴ ∠QPR = 65°

Given:

cosec A = 10

Concept used:

H² = P² + B²

sinA = P/H, cosA = B/H, sinA = 1/cosecA, cosA = 1/secA

Calculation:

cosec A = 10/1 = H/P

comparing values, H = 10, P = 1 then B = √[H² - P²] = √[102 - 12]

⇒ B = √99 = 3√11

Putting values, we get, 

⇒ 20 sin A + 9 √11 sec A

⇒ 20 × 1/10 + 9 √11 × 10/[3√11]

⇒ 2 + 3 × 10

⇒ 32

Given:

(7x - 10y) = 8 and xy = 5

Formula used:

(a - b)² = a² + b² - 2ab

Calculation:

⇒ (7x - 10y)² = 8²

⇒ 49x2 + 100y2 - 2 × 7x × 10y = 64

⇒ 49x2 + 100y2 - 140xy = 64

⇒ 49x2 + 100y2 = 64 + 140xy

⇒ 49x2 + 100y2 = 64 + 140 × 5

⇒ 49x2 + 100y2 = 764

∴ The correct answer is 764.

Calculation:

⇒ 56 ÷ [12 + 9 ÷ 3 - {8 + (18 of 2 ÷ 9) - (40 ÷ 5 of 2)}] + $\frac{27+\frac{2}{5}\ of \ 75}{5+\frac{2}{3}×(58 - 37)}$⇒ 56 ÷ [12 + 9 / 3 - {8 + (18 × 2 × 1/9) - (40 × 1/5 × 1/2)}] + $\frac{27+\frac{2}{5}\ \times \ 75}{5+\frac{2}{3}×21}$

⇒ 56 ÷ [12 + 3 - {8 + (2 × 2) - 4}] + $\frac{27+2\ \times \ 15}{5+2×7}$

⇒ 56 ÷ [15 - 8] + $\frac{57}{19}$

⇒ $\frac{56}{7}$ + 3

⇒ 8 + 3

⇒ 11

Given:

The area of an equilateral triangle is 10.24√3 m2

Formula used:

Area of equilateral triangle = √3/4 × a2

Perimeter of equilateral triangle = 3a

Calculation:

ATQ, √3/4 × a2 = 10.24√3 m2

⇒ a2 = 10.24 × 4

⇒ a = 3.2 × 2 = 6.4

∴ Perimeter of equilateral triangle = 3a = 3× 6.4

= 19.2 cm

Given:

The square of the diagonal of a cube is 2175 cm2.

Formula used:

Diagonal of a cube = √3a, where a = side of cube

TSA of cube = 6a²

Calculation:

ATQ, (√3a)² = 2175

⇒ 3a2 = 2175

⇒ a2 = 725

∴ TSA of cube = 6a2 = 6 × 725 = 4350 cm²

The correct answer is DBS.

• Singapore, Hong Kong, Indonesia, India, China, Taiwan, Regional, 20 Oct 2020 - DBS Bank has been named the “Safest Bank in Asia” for the 12^th consecutive year by New York-based trade publication Global Finance.

Key Points

The correct answer is Amar Singh College Srinagar.

• On December 16, 2020, Amar Singh College, Srinagar, Jammu and Kashmir received the Award of Merit at the 2020 UNESCO (United Nations Educational, Scientific and Cultural Organization) Asia-Pacific Awards for Cultural Heritage Conservation.

Important Points

• The winners for the 2020 UNESCO Asia-Pacific Awards for Cultural Heritage Conservation were released by UNESCO Bangkok on 16 December 2020.
• UNESCO New Delhi is pleased to share that Delhi’s Heritage Park, Sunder Nursery received the Award of Excellence for their successful efforts towards ecological and heritage restoration. Sunder Nursery was recognized for Special Recognition for Sustainable Development, in addition to its Award of Excellence, for its “transformative impact in turning a barren site into an urban oasis in the heart of New Delhi.”
• Other Awardees include:
• Koothambalam at Guruvayoor Temple, Kerala received the Award of Distinction for their efforts to revitalize the link of architectural heritage with its artistic traditions.
• Amar Singh College, Srinagar and Malabari Hall Building, Seva Sadan Society, Mumbai received the Award of Merit for their attempts to bring back the building to its former glory and their use of community in the restoration of its historic compound respectively.

The correct answer is Switzerland.

• The headquarters of the International Table Tennis Federation is situated in Lausanne, Switzerland.
• The International Table Tennis Federation (ITTF) is the governing body for all national table tennis federations.
• The role of the ITTF includes overseeing rules and regulations and seeking technical improvements to the game of table tennis.
• The ITTF is responsible for organizing several international competitions, including the World Table Tennis Championships which has been running since 1926.

Additional Information

The correct answer is Goa.

• Goa has become the first state in India to provide 100 per cent tap water connections in the rural areas covering 2.30 lakh households.

Key Points

• The Jal Jeevan Mission of the Central Government aims to provide piped water to all rural households by 2024.
• Two districts- South Goa with 98,000 households in 191, gram-panchayats and North Goa with one lakh 65 thousand rural households have been fully saturated with assured water supply through the tap connections.
• Goa to strengthen the water testing facilities is also in the process of getting 14 water quality testing laboratories that are accredited by the National Accreditation Board for Testing and Calibration Laboratories (NABL)
• Under Jal Jeevan Mission, it is mandatory that 5 persons in every village, especially women, must be trained in using field test kits to test the water.

The correct answer is dam.

• A dam is a hydraulic structure of fairly impermeable material constructed across a river to form a reservoir on its upstream to hold water for various purposes.
• These purposes can be irrigation, hydropower, water supply, flood control, shipping, fisheries and recreation.

Additional Information

Dams in India

The correct answer is Positive growth of 0.6%.

• Positive growth of 0.6% was the contribution of the manufacturing sector in India’s GDP in Q2 of 2020-21.

Additional Information

• The Indian economy is expected to witness a real GDP expansion of 9.2% in 2021-22 after contracting in 2020-21.
• The GDP contracted by 7.3% in 2020-21.
• The revenue receipts of the central government from Apr to Nov 2021 have gone up by 67.2% (YoY).
• India’s Consumer Price Index inflation stood at 5.6% YoY in December 2021.
• Production Linked Incentive Scheme was approved for 13 sectors.

The correct answer is Carbohydrates.

Key Points

• Monosaccharides are the simplest form of sugar and the most basic units (monomers) of carbohydrates.
• They are usually colourless, water-soluble, and crystalline solids.
• Carbohydrates also consist of long chains of linked sugar molecules.
• These long chains often contain hundreds or thousands of monosaccharides that are bound together to form polysaccharides.
• Plants store sugar in polysaccharides called starch.

Additional Information

• A lipid is any of various organic compounds that are insoluble in water.
• These include fats, waxes, oils, hormones and some components of membranes and act as energy-storing molecules and chemical messengers.
• Proteins are large, complex molecules that play many important roles in the body.
• They perform most functions in cells and are essential for the structure, function and regulation of body tissues and organs.
• Nucleic acids are naturally occurring chemical compounds that serve as the primary information-carrying molecules in cells.
• They play a particularly important role in directing protein synthesis.
• The two main classes of nucleic acids are deoxyribonucleic acid (DNA) and ribonucleic acid (RNA).

The correct answer is Punjab.

• Punjab tops the country in terms of land under irrigation, with 98% of its cropland under irrigation.
• Then comes Haryana, U.P. and A.P respectively.

Key Points

• Punjab (the land of five rivers) is one of the most fertile regions on earth.
• The state of Punjab which has earned the name of "the food basket of the country" and "the granary of India", has been contributing 40 per cent rice and 50 to 70 per cent wheat for the last two decades.
• Agriculture in the state of Punjab is highly intensive in terms of land, capital, energy, nutrients, agricultural inputs and water etc.
• Firozpur district is the largest producer of wheat and rice in the state.
• The largest area is under wheat crop.
• Other important crops of the state are rice, cotton, sugarcane, bajra, maize, barley and fruits.

The correct answer is Article 84.

• Article 84 (Qualification for membership of Parliament)
• A person shall not be qualified to be chosen to fill a seat in Parliament unless he
• (a) is a citizen of India, and makes and subscribes before some person authorised in that behalf by the Election Commission an oath or affirmation according to the form set out for the purpose in the Third Schedule;
• (b) is, in the case of a seat in the Council of States, not less than thirty years of age and, in the case of a seat in the House of the People, not less than twenty five years of age; and
• (c) possesses such other qualifications as may be prescribed in that behalf by or under any law made by Parliament.

Additional Information

• Article 61 - Procedure for impeachment of the President.
• Article 52 - There shall be a President of India.
• Article 76 - Attorney General for India.

The correct answer is 2020.

• Sur Sarovar, also known as Keetham Lake, is a man-made reservoir that was added to the list of Ramsar Sites in 2020.
• Sur Sarovar, also known as Keetham Lake, is a human-made reservoir; originally created to supply water to the city of Agra in summer, the wetland soon became an important and rich ecosystem.
• The Site’s patchwork of different habitat types provides refuge to resident and migratory birds, and more than 60 species of fish.

Key PointsRecently added Ramsar sites in India:

Important Points

• The Ramsar Convention on Wetlands of International Importance is a treaty specifically for the conservation and sustainable use of such sites as waterfowl habitats.
• It is named after the Iranian city of Ramsar, where the treaty was signed in 1971.

The correct answer is Allasani Peddana.

• Allasani Peddana is the author of the epic story 'Manu Charitra'.
• 'Manu Charitra' by the early sixteenth-century poet Allasani Peddana, is the definitive literary monument of Telugu civilization and a powerful embodiment of the imperial culture of Vijayanagara, the last of the great premodern south Indian states.

Key Points

• Manu Charitra (The Story of Manu):
• It is the story of Sarvochisha Manu, who ruled the last cosmic age and who serves as the prototype for the first human being here.
• Pedana explores the complex workings of the dramatic displacement, imaginative projections that will be required for the birth and formation of Manu.
• The Story of Manu is also a book about kingship and its requirements during the time of Krishnadevaraya, the most powerful of the Vijayanagara rulers, who was a close friend and mentor of the poet.
• The Story of Manu, presented in the Telugu script with the first translation in any language, is a true masterpiece of early modern South Indian literature.

Additional Information

• Ponna
• Works: Jinaksharamale, Bhuvanaika-Ramabhyudaya, Shantipurana
• Bāṇabhaṭṭa
• Works: Harshacharita, Kadambari
• Chand Bardai:
• Books: Prithviraj Raso