SSC CHSL 2020 Official Paper 33 (Held on: 11 Aug 2021 Shift 3) (Previous Year Paper)

The correct answer is 'Very good advice was given to the students by the counselor.'

Key Points

• In Active Voice, a sentence emphasizes the subject, performing an action.
• In Passive Voice, a sentence emphasizes the action or the object of the sentence.
• The given sentence is in the active voice and it is in the past simple tense.
• When we convert this sentence into a passive voice, the subject ''The counselor'' of the active voice becomes the object, the object ''very good advice'' becomes the subject.
• The active format "V2 (gave)" should be converted into the passive format "was + V3 (given)".
• This is the active and passive voice rule for the past simple tense.
  

Hence, the correct answer is option 1.

Additional Information

Verbs of passive format have a different set of tenses (*V3 - Past participle or Third form of the Verb) as given below in the table:

 

Hinglish

• Active Voice में , एक वाक्य विषय पर जोर देता है, एक क्रिया करता है।
• Passive Voice में , एक वाक्य वाक्य की क्रिया या वस्तु पर जोर देता है।
• दिया गया वाक्य active voice में है और यह past simple tense में है।
• जब हम इस वाक्य को passive voice में बदलते हैं, तो active voice का subject 'The counselor', object बन जाता है और object 'very good advice', subject बन जाता है।
• Active format "V2 (gave)" को passive format "was + V3 (given)" में परिवर्तित किया जाना चाहिए।
• यह past simple tense के लिए active and passive voice rule है।
  

अतः सही उत्तर विकल्प 1 है।

The correct answer is 'worthless.'

Key Points

• The given word 'Precious' means of great value; not to be wasted or treated carelessly. (क़ीमती, बहुमूल्‍य)
• Example: Friendship is one of the most precious things in our life.
• ​Let's see the meaning of other given options:-
• 'Costly' means costing a lot of money; expensive. (बड़ी लागत वाला; महँगा, क़ीमती)
• Example: It was too costly to fix her car after the accident.
• 'Worthless' means having no value or use. (बेकार, किसी काम का नहीं, व्‍यर्थ का)
• Example: The boots may be nice, but they're worthless if they don't fit you.
• 'Ugly' means unpleasant to look at or listen to; not attractive. (भद्दा; कुरूप, बदसूरत)
• Example: My car may be ugly, but it runs pretty well.
• 'Plentiful' means available in large amounts or numbers. (बड़ी मात्रा में राशि में उपलब्‍ध)
• Example: There was a plentiful amount of food at the family reunion.
  

Hence, the correct answer is option 2.

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Additional Information

• The antonyms of the word 'Precious' are "Worthless, Valueless, Cheap".
• The synonyms of the word 'Precious' are "Valuable, Priceless, Extravagant".

The correct answer is 'dangerous.'

Key Points

• The given word 'Hazardous' means involving potential loss or injury; dangerous. (ख़तरनाक, जोखिमभरा)
• Example: Certain pesticides should be banned since they are hazardous to the environment.
• ​Let's see the meaning of other given options:-
• 'Smooth' means without difficulties. (बिना किसी बाधा के; बाधारहित, निर्विध्वन, सरलता से संपन्‍न)
• Example: The transition from the old method to the new has been very smooth.
• 'Predictable' means something that was or could be expected to happen. (जिसका घटित होना प्रत्‍याशित है; पूर्वानुमेय)
• Example: The disease follows a highly predictable pattern.
• 'Uncaring' means not displaying sympathy or concern for others. (बेपरवाह; दूसरों के लिए सहानुभूति या चिंता प्रदर्शित नहीं करना)
• Example: He was selfish and uncaring.
• 'Dangerous' means able or likely to cause harm or injury. (ख़तरनाक, भयंकर)
• Example: Nuclear weapons are the most dangerous weapons on earth.
  

Hence, the correct answer is option 4.

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Additional Information

• The synonyms of the word 'Hazardous' are "Dangerous, Risky, Threatening".
• The antonyms of the word 'Hazardous' are "Harmless, Non-hazardous, Safe".

The correct answer is Mother told me to enjoy my vacation with my friends.

Key Points

• The given sentence is a direct speech.
• The basic rules for changing or converting direct speech into indirect speech:​
• The commas, inverted commas are removed.
• The reporting verb ''said to'' becomes 'told'.
• We use an infinitive (here, to enjoy) to report imperatives, with a reporting verb like tell, order, instruct, direct, or warn.
• The third-person pronoun ''your'' becomes the first-person pronoun 'my'.
  

Hence, the correct answer is option 4.

Hinglish

• दिया गया वाक्य direct speech है।
• Direct speech को indirect speech में बदलने के लिए बुनियादी नियम:
• Commas, inverted commas और exclamation mark हटा दिए जाते हैं।
• Reporting verb ''said to'', 'told' हो जाता है।
• हम अनिवार्यता की रिपोर्ट करने के लिए एक infinitive (यहां, to enjoy) का उपयोग करते हैं, एक reporting verb जैसे tell, order, instruct, direct, या warn शामिल है।
• Third-person pronoun ''your'', first-person pronoun 'my' बन जाता है।
  

अत: सही उत्तर विकल्प 4 है।

The correct answer is 'hearings are limited.'

Key Points

• In the underlined segment, the use of the singular form of the verb 'is' and the base form of the verb 'limit' is incorrect.
• The subject 'hearings' in the underlined segment is a plural subject and it will take a plural verb.
• Therefore, the plural form of the verb 'are' should be used in place of the singular form of the verb 'is'.
• Also, the given sentence is a passive voice in the present simple tense.
• In the present simple, the passive format is: am/is/are + past participle (3rd form of the verb).
• Therefore, the past participle form of the verb 'limited' should be used in place of the base form of the verb 'limit'.
  

Hence, the correct answer is option 3.

Correct Sentence: These days, wherever district courts are functioning, hearings are limited to urgent matters.

Hinglish

• रेखांकित खण्ड में क्रिया 'is' के एकवचन रूप का प्रयोग तथा क्रिया 'limit' के मूल रूप का प्रयोग गलत है।
• रेखांकित खंड में subject 'hearings' एक बहुवचन subject है और यह एक बहुवचन क्रिया लेगा।
• इसलिए क्रिया के एकवचन रूप 'is' के स्थान पर क्रिया के बहुवचन रूप 'are' का प्रयोग किया जाना चाहिए।
• साथ ही, दिया गया वाक्य वर्तमान सरल काल में एक passive voice है।
• वर्तमान सरल में, passive प्रारूप है: am/is/are + past participle (क्रिया का तीसरा रूप)।
• इसलिए base form of the verb 'limit' के स्थान पर past participle form of the verb 'limited' का प्रयोग किया जाना चाहिए।
  

अतः सही उत्तर विकल्प 3 है।

सही वाक्य: These days, wherever district courts are functioning, hearings are limited to urgent matters.

The correct answer is 'a memorable day.'

Key Points

• Given Idiom: A red-letter day means a memorable day. (एक यादगार दिन)
• Example: The day that I started my journey towards my career was a red-letter day for me.
• From the given options, the fourth option is the most appropriate meaning of the given idiom.
  

Hence, the correct answer is option 4.

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Mistake Points

• We may think from the phrase "A red-letter day" that it is all about getting a red-letter someday.
  

Additional Information

• The term comes from the practice of printing feast days and other special holy days in red on ecclesiastical calendars, from the fifteenth century on. Charles Lamb used the expression in describing Oxford during the long vacation: ''The red-letter days now become, to all intents and purposes, dead-letter days.''

The correct answer is 'DCAB.'

Key Points

• The sentence 'D' is independent of any other sentence as it is giving general information about "Fasting". Hence, 'D' is the first part.
• Sentence C will come after D as it is giving information about what happens during Ramzan fasting (the believer abstains from food and drink in the daytime of his own free will).
• Sentence A will come after C as it is giving information about when the believer breaks his fast (only after sunset).
• The sentence 'B' is the concluding part as it is giving information about how the believer is able to lead a life of self-discipline in all matters for the rest of the year (by practicing self-restraint or fasting for one month in a year).
  

Paragraph after rearranging the sentences: Fasting is an exercise in self-discipline and is good for everyone. During the month of Ramzan, the believer abstains from food and drink in the daytime of his own free will. It is only after sunset that he satisfies his hunger and quenches his thirst. In this way, by practicing self-restraint for one month in a year, he is able to lead a life of self-discipline in all matters for the rest of the year.

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.
  

Hinglish

• वाक्य 'D' किसी अन्य वाक्य से स्वतंत्र है क्योंकि यह "उपवास" के बारे में सामान्य जानकारी दे रहा है। अतः 'D' पहला भाग है।
• वाक्य C, D के बाद आएगा क्योंकि यह इस बारे में जानकारी दे रहा है कि रमजान के उपवास के दौरान क्या होता है (आस्तिक अपनी मर्जी से दिन में खाने-पीने से परहेज करता है)।
• वाक्य A, C के बाद आएगा क्योंकि यह इस बारे में जानकारी दे रहा है कि आस्तिक कब अपना उपवास तोड़ता है (केवल सूर्यास्त के बाद)।
• वाक्य 'B' समापन भाग है क्योंकि यह इस बारे में जानकारी दे रहा है कि आस्तिक कैसे शेष वर्ष के लिए सभी मामलों में आत्म-अनुशासन का जीवन जीने में सक्षम है (साल में एक महीने के लिए आत्म-संयम या उपवास का अभ्यास करके)।

The correct answer is 'common and so of little value.'

Key Points

• Given Idiom: A dime a dozen means something very common and not having much value. (कुछ बहुत ही सामान्य और जिसका अधिक मूल्य नहीं है)
• Example: Singing and dancing-based reality shows are now outdated and a dime a dozen.
• From the given options, the third option is the most appropriate meaning of the given idiom.
  

Hence, the correct answer is option 3.

<br>

Mistake Points

• We may think from the phrase "A dime a dozen" that it is all about a ten-cent U.S. coin.
  

Additional Information

• During the 1800s, this phrase was used in its literal meaning, referring to items that cost a dime for a dozen of those items. Since the early 1900s, the phrase has been used in its figurative sense, meaning something common and of less value.

The correct answer is 'effectively.'

Key Points

• The given sentence is talking about training teachers to conduct online classes constructively or successfully.
• Therefore, the most appropriate word to be filled in the blank is 'effectively'.
• The word 'effectively' means in such a manner as to achieve the desired result. 
• Example: She used a mop to effectively clean the floors.
  

Hence, the correct answer is option 4.

Complete Sentence: The government has opened many new centers of excellence to train teachers in conducting online classes effectively.

Additional Information

• Let us explore  the other options:
• 'Certainly' means without doubt; definitely. (निस्‍संदेह; निश्चित रूप से)
• 'Hopefully' means in a hopeful manner. (आशावादी तरीके से)
• 'Automatically' means by itself with little or no direct human control. (यंत्रवत, अपने आप)
  

Hinglish

• दिया गया वाक्य शिक्षकों को रचनात्मक या सफलतापूर्वक ऑनलाइन कक्षाएं संचालित करने के लिए प्रशिक्षण देने की बात कर रहा है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'effectively' है।
• 'Effectively' शब्द का अर्थ है प्रभावोत्‍पादक रीति से।
• उदाहरण: She used a mop to effectively clean the floors.

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अत: सही उत्तर विकल्प 4 है।

पूर्ण वाक्य: The government has opened many new centers of excellence to train teachers in conducting online classes effectively.

The correct answer is 'allert'.

Key Points

• Let us explore the options:-
• 'Almighty' means having** the power to do anything**. (सर्वशक्तिमान)
• Example: We must pray to the almighty for forgiveness.
• 'Alliteration' means the occurrence of the same letter or sound at the beginning of adjacent or closely connected words. (किसी शब्‍द समूह में एक ही अक्षर या ध्वनि से आरंभ होने वाले शब्‍दों का प्रयोग; अनुप्रास अलंकार)
• Example: Poems that use alliteration are often tongue twisters.
• 'Allegation' means a claim or assertion that someone has done something illegal or wrong, typically one made without proof. (आरोप; प्रमाण रहित कथन)
• Example: The professor made an allegation of cheating against his student.
• 'Allert': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Alert' means quick to notice any unusual and potentially dangerous or difficult circumstances; vigilant. (सतर्क, चौकन्‍ना, चौकस)​
  

Hence, the correct answer is option 4.

Additional Information

• Example of 'Alert' in a sentence:
• An alert guard stopped the robbers.

The correct answer is '4' i.e. does not wants .

Key Points

• The phrase "does not wants" is grammatically incorrect because the auxiliary verb "does" requires the base form of the main verb.
• The correct form should be "does not want", not "does not wants".
• This is a rule in English grammar where auxiliary verbs like "do/does" are followed by the base form of the verb (without adding -s).

Correct sentence: The manager said that Rahul does not want to go to Mumbai for the new project.

Additional Information

• Rule for Auxiliary Verbs:
• When using auxiliary verbs like "do/does" in negative sentences, always use the base form of the main verb.
• Example: She does not like chocolate. (Correct) vs. She does not likes chocolate. (Incorrect).
• Common Auxiliary Verbs:
• Do/Does: Used for present tense.
• Did: Used for past tense.
• Always followed by the base verb.

The correct answer is 'No substitution.'

Key Points

• In the underlined segment of the given sentence, no substitution or improvement is required.
• The past tense form of the verb 'was' is correctly used as the given sentence is in the simple past tense.
• The simple past tense shows that you are talking about something that has already happened.
• The singular form of the verb 'was' is correctly used with the singular subject 'It'.
• If a subject is singular, its verb must also be singular; if the subject is plural, its verb must also be plural.
• The article 'the' is correctly used before the superlative adjective 'biggest'.
• We use a superlative to say that a thing or person is the most of a group. When we use a superlative adjective before the noun, we generally use it with 'the'.
  

Hence, the correct answer is option 1.

Correct Sentence: It was the biggest jump in earnings for me and I was delighted.

Hinglish

• दिए गए वाक्य के रेखांकित खंड में किसी सुधार की आवश्यकता नहीं है।
• Past tense form of the verb 'was' सही ढंग से प्रयोग किया गया है क्योंकि दिया गया वाक्य simple past tense में है।
• Simple past tense दर्शाता है कि आप किसी ऐसी चीज के बारे में बात कर रहे हैं जो पहले ही हो चुकी है।
• क्रिया का एकवचन रूप 'was', एकवचन विषय 'It' के साथ सही ढंग से प्रयोग किया गया है।
• यदि कोई विषय एकवचन है, तो उसकी क्रिया भी एकवचन होनी चाहिए; यदि विषय बहुवचन है, तो उसकी क्रिया भी बहुवचन होनी चाहिए।
• Article 'the', superlative adjective 'biggest' से पहले सही ढंग से प्रयोग किया गया है।
• हम यह कहने के लिए superlative का उपयोग करते हैं कि कोई वस्तु या व्यक्ति समूह में सबसे अधिक है। जब हम noun से पहले एक superlative adjective का उपयोग करते हैं, तो हम आमतौर पर इसका उपयोग 'the' के साथ करते हैं।
  

अतः सही उत्तर विकल्प 1 है।

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सही वाक्य: It was the biggest jump in earnings for me and I was delighted.

The correct answer is 'fugitive.'

Key Points

• Let's see the meanings of the given words-
• Stowaway - A person who hides in a ship or plane so that he/she can travel without paying. (वह व्यक्ति जो पोत या विमान में छुप जाता है ताकि निःशुल्क यात्रा कर सके; छिपकर यात्रा करनेवाला)
• Example: Canada imposes stiff penalties on ships carrying stowaways into port.
• Cheat - A person who behaves dishonestly in order to gain an advantage. (धोखेबाज़, ठग, छली, कपटी)
• Example: If you cheat in the exam you'll never get away with it.
• Thief - A person who steals things from another person. (चोर)
• Example: The running thief was headed off by the police.
• Fugitive - A person who is running away or escaping from justice. (भगोड़ा)​
• Example: The fugitive had spent five weeks in hiding.
  

Hence, the correct answer is option 4.

The correct answer is 'crematorium.'

Key Points

• Let's see the meanings of the given words-
• Crematorium - A building or place in which the bodies of dead people are burnt. (वह भवन जहाँ शवों को जलाया जाता है; शवदाहगृह)
• Example: I once visited a crematorium that gave discounts to burn victims.
• Basement - A room or rooms in a building, partly or completely below ground level. (इमारत के वह कमरे जो अंशतः या पूर्णतः भूमि स्‍तर के नीचे हों; भूमिगत मंज़िल)
• Example: The canteen is down in the basement.
• Dungeon - An old underground prison, especially in a castle. (ज़मीन के नीचे बना कै़दख़ाना विशेषतः क़िले में, भूमिगत क़ैदख़ाना)
• Example: They walked down through an unused part of the dungeon.
• Graveyard - A burial ground, especially one beside a church. (क़ब्रिस्‍तान)​
• Example: They made their way to a graveyard to pay their traditional respects to the dead.
  

Hence, the correct answer is option 1.

The correct answer is 'Faulty.'

Key Points

• The given word 'Infallible' means never making mistakes or being wrong. (गलत करने या होने की संभावना ना होना)
• Example: A dozen good articles do not make an author infallible.
• ​Let's see the meaning of other given options:-
• 'Reliable' means consistently good in quality or performance; able to be trusted. (गुणवत्ता या प्रदर्शन में लगातार अच्छा; भरोसा किया जा सकने वाला)
• Example: We need more reliable information before we can take action.
• 'Dependable' means trustworthy and reliable. (भरोसेमंद, विश्‍वसनीय, भरोसे लायक़)
• Example: I need someone dependable to look after the children while I'm at work.
• 'Faulty' means not working or made correctly; having defects. (सही ढंग से काम नहीं करना या सही ढंग से नहीं बनाया गया; दोष होना)
• Example: Let your most faulty characters always be on the wrong side, and your virtuous ones on the right.
• 'Unfailing' means without error or fault. (विश्‍वसनीय, भरोसेमंद; जिसमें कोई दोष न हो)
• Example: I'd like to thank you all for your unfailing support.

Hence, the correct answer is option 3.

Additional Information

• The antonyms of the word 'Infallible' are "Faulty, Fallible, Unreliable".
• The synonyms of the word 'Infallible' are "Unfailing, Dependable, Reliable".

The correct answer is 'authorities.'

Key Points

• The given sentence is talking about the jail officials who have started yoga and meditation classes in jail.
• Therefore, the most appropriate word to be filled in the blank is 'authorities'.
• The word 'authorities' means people or organizations having political or administrative power and control. 
• Example: The authorities conducted an extensive investigation into his tax affairs.
  

Hence, the correct answer is option 1.

Complete Sentence: The jail authorities have started yoga and meditation classes for the inmates.

Additional Information

• Let us explore  the other options:
• 'Residents' means people who live somewhere permanently or on a long-term basis. (किसी स्‍थान के निवासी)
• 'Workers' means people who do a specified type of work or who work in a specified way. (कार्यकर्ता, कर्मी)
• 'People' means more than one person. (एक से अधिक व्‍यक्ति, लोग)
  

Hinglish

• दिया गया वाक्य उन जेल अधिकारियों की बात कर रही है, जिन्होंने जेल में योग और ध्यान की कक्षाएं शुरू की हैं।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'authorities' है।
• 'Authorities' शब्द का अर्थ है अधिकारी, अधिकारी वर्ग, सरकारी विभाग।
• उदाहरण: The authorities conducted an extensive investigation into his tax affairs.

<br>

अत: सही उत्तर विकल्प 1 है।

पूर्ण वाक्य: The jail authorities have started yoga and meditation classes for the inmates.

The correct answer is 'BCDA.'

Key Points

• The sentence 'B' is independent of any other sentence as it is giving general information about "allowing students to pursue two-degree programs at the same time". Hence, 'B' is the first part.
• Sentence C will come after B as it is giving information about the responsible people behind the proposal of two-degree programs (A committee formed under the UGC vice-chairperson on feedback from the public).
• Sentence D will come after C as it is giving information about when a student will be able to pursue another degree program simultaneously (Once the guidelines are notified).
• The sentence 'A' is the concluding part as it is giving information about how the two-degree program will work (one of the degrees will have to be in the regular mode, and the other either in open and distance learning or online mode).
  

Paragraph after rearranging the sentences: In a move to improve students’ career prospects, the University Grants Commission has approved the proposal to allow them to pursue two-degree programs at the same time. A committee formed under the UGC vice-chairperson worked on the proposal based on feedback from the public. Once the guidelines are notified, a student studying in a university will be able to pursue another degree program simultaneously. According to sources, one of the degrees will have to be in the regular mode, and the other either in open and distance learning or online mode.

Hint

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.
  

Hinglish

• वाक्य 'B' किसी अन्य वाक्य से स्वतंत्र है क्योंकि यह "छात्रों को एक ही समय में दो-डिग्री कार्यक्रमों को आगे बढ़ाने की अनुमति देने" के बारे में सामान्य जानकारी दे रहा है। अतः 'B' पहला भाग है।
• वाक्य C, B के बाद आएगा क्योंकि यह दो डिग्री कार्यक्रमों के प्रस्ताव के पीछे जिम्मेदार लोगों के बारे में जानकारी दे रहा है (जनता से फीडबैक पर यूजीसी उपाध्यक्ष के तहत गठित एक समिति)।
• वाक्य D, C के बाद आएगा क्योंकि यह इस बारे में जानकारी दे रहा है कि एक छात्र एक साथ एक और डिग्री प्रोग्राम कब कर पाएगा (दिशानिर्देश अधिसूचित होने के बाद)।
• वाक्य 'A' समापन भाग है क्योंकि यह इस बारे में जानकारी दे रहा है कि दो-डिग्री कार्यक्रम कैसे काम करेगा (एक डिग्री नियमित मोड में होनी चाहिए और दूसरी या तो ओपन और डिस्टेंस लर्निंग या ऑनलाइन मोड में)।

The correct answer is 'irepairable'.

Key Points

• Let us explore the options:-
• 'Irepairable': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Irreparable' means something that cannot be repaired. (जिस क्षति की पूर्ति न हो सके, जिस स्थिति को सुधारा न जा सके; असुधार्य)​
• 'Illegible' means difficult or impossible to read. (जिसे पढ़ना कठिन या असंभव हो; अपाठ्‌य, दुर्वाच्य)
• Example: Her signature is totally illegible.
• 'Irresistible' means too attractive and tempting to be resisted. (अत्‍यंत आकर्षक)
• Example: The smell of the cake was irresistible.
• 'Illegitimate' means not allowed by law; against the rules. (गै़र-क़ानूनी, अवैध; नियमों के विरुद्घ)
• Example: They were fired from their jobs for illegitimate reasons.
  

Hence, the correct answer is option 1.

Additional Information

• Example of 'Irreparable' in a sentence:
• The flood did irreparable damage to the building.

The correct answer is 'contaminate.'

Key Points

• The given word 'Pollute' means to contaminate (water, the air, etc.) with harmful or poisonous substances. (वायु, नदियों आदि को प्रदूषित करना)
• Example: These gases pollute the atmosphere of towns and cities.
• ​Let's see the meaning of other given options:-
• 'Condemn' means to say strongly that you think somebody or something is very bad or wrong. (किसी की तीव्र निंदा करना; दोषी या अपराधी ठहराना)
• Example: We strongly condemn this attack against our allies.
• 'Contaminate' means to add a substance which will make something dirty or harmful. (कोई पदार्थ डालकर किसी वस्‍तु को दूषित कर देना; संदूषित करना)
• Example: One secret military unit tried to contaminate the drinking water of the refugees.
• 'Ridicule' means subject to contemptuous and dismissive language or behavior. (खिल्‍ली उड़ाना, मज़ाक़ बनाना)
• Example: He became an object of ridicule among the other workers.
• 'Destroy' means to damage something so badly that it can no longer be used or no longer exists. (किसी वस्‍तु को इस तरह हानि पहुँचाना कि वह इस्‍तेमाल न हो सके या समाप्‍त हो जाए, नष्‍ट करना)
• Example: An atomic bomb can destroy the whole universe in no time.

Hence, the correct answer is option 2.

<br>

Additional Information

• The synonyms of the word 'Pollute' are "Contaminate, Infect​, Befoul".
• The antonyms of the word 'Pollute' are "Decontaminate, Purify, Clean".

The correct answer is 'is made' i.e. this part of the sentence has an error.

Key Points

• The given sentence is talking about a tailor who made some stylish dresses.
• In the given sentence, the use of the singular verb 'is' is incorrect.
• The verb 'is' is used to give the position of somebody or something or the place where somebody or something is situated.
• The verb 'has' is used with many nouns to talk about doing something.
• Therefore, the singular form of the verb 'has' should be used in place of the singular form of the verb 'is'.
  

Hence, the correct answer is option 2.

Correct sentence: My tailor has made some very stylish dresses for me as well as for my daughter.

Hinglish

• दिया गया वाक्य एक दर्जी के बारे में बात कर रहा है जिसने कुछ स्टाइलिश कपड़े बनाए।
• दिए गए वाक्य में एकवचन क्रिया 'is' का प्रयोग गलत है।
• क्रिया 'is' का प्रयोग किसी व्यक्ति या वस्तु या वह स्थान जहाँ कोई या कुछ स्थित है, की स्थिति बताने के लिए किया जाता है।
• क्रिया 'has' का प्रयोग किसी काम के बारे में बताने के लिए अनेक संज्ञाओं के साथ किया जाता है।
• इसलिए, क्रिया के एकवचन रूप 'is' के स्थान पर क्रिया के एकवचन रूप 'has' का प्रयोग करना चाहिए।
  

अत: सही उत्तर विकल्प 2 है ।

सही वाक्य: My tailor has made some very stylish dresses for me as well as for my daughter.

The correct answer is 'crossed.'

Key Points

• The given sentence "As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees (1) the 5000 mark ...'' is telling about the impact of the cyclone 'Amphan.'
• The given sentence is in the simple past tense, therefore the past form of the verb should be used in the blank.
• The past simple tense is used to talk about a completed action in a time before now.
• The simple past tense of regular verbs is marked by the ending -d or -ed (here, crossed).
• The word 'crossed' means to make one's way through, across, or over. 
• Example: India's Covid-19 death toll crossed 5,00,000 on Friday.
  

Hence, the correct answer is option 1.

Complete Sentence: As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees crossed the 5000 mark ...

 

Additional Information

Let us explore  the other options:

• 'Is crossing' is the present continuous form of the verb. ('Is crossing' क्रिया का present continuous रूप है)
• 'Crosses' is the third-person present singular form of the verb. ('Crosses' क्रिया का third-person present singular रूप है)
• 'Was crossed' is the past tense form of the verb in passive form. ('Was crossed' क्रिया का past tense रूप है passive form में)
  

Hinglish

• दिया गया वाक्य "As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees (1) the 5000 mark ...'' चक्रवात 'अम्फान' के प्रभाव के बारे में बता रहा है।
• दिया गया वाक्य सरल भूतकाल में है, इसलिए क्रिया के भूतकाल का प्रयोग रिक्त स्थान में करना चाहिए।
• Past simple tense का उपयोग अब से पहले के समय में पूरी की गई क्रिया के बारे में बात करने के लिए किया जाता है।
• नियमित क्रियाओं के सरल भूतकाल को अंत -d या -ed (यहाँ, crossed) द्वारा चिह्नित किया जाता है।
• शब्द 'crossed' का अर्थ है पार करना। 
• उदाहरण: India's Covid-19 death toll crossed 5,00,000 on Friday.

<br>

अत: सही उत्तर विकल्प 1 है ।

पूर्ण वाक्य: As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees crossed the 5000 mark ...

The correct answer is 'loss.'

Key Points

• The given sentence "As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees crossed the 5000 mark, environmentalists, horticulturists, and nature lovers mourned the huge (2)'' is telling about the sadness shown by different people in the act of losing trees.
• Therefore, the most appropriate word to be filled in the blank is 'loss'.
• The word 'loss' means the state of no longer having something or not having as much as before; the act of losing something. 
• Example: He claimed compensation for loss of earnings.
  

Hence, the correct answer is option 4.

Complete Sentence: As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees crossed the 5000 mark, environmentalists, horticulturists, and nature lovers mourned the huge loss.

 

Additional Information

• Let us explore  the other options:
• 'Passing' means lasting for only a short time; brief. (केवल थोड़े समय का; अल्‍पकालिक)
• 'Death' means the end of somebody or something’s life; dying. (जीवन की समाप्ति; मृत्‍यु)
• 'Failure' means the action or state of not functioning. (काम न करने की क्रिया या भाव)
  

Hinglish

• दिया गया वाक्य "As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees crossed the 5000 mark, environmentalists, horticulturists, and nature lovers mourned the huge (2)'' पेड़ों को खोने के कृत्य में विभिन्न लोगों द्वारा दिखाए गए दुख के बारे में बता रहा है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'loss' है।
• 'Loss' शब्द का अर्थ है किसी वस्‍तु की हानि या क्षति; कुछ खो देने की क्रिया।
• उदाहरण: He claimed compensation for loss of earnings.

<br>

अत: सही उत्तर विकल्प 4 है।

पूर्ण वाक्य: As the full impact of cyclone Amphan’s fury emerged on Thursday morning and the count of uprooted trees crossed the 5000 mark, environmentalists, horticulturists, and nature lovers mourned the huge loss.

The correct answer is 'destruction.'

Key Points

• The given sentence "But they also felt that Kolkata could emerge stronger from the (3) if it used the opportunity to move from arbitrary plantation drives ...'' is telling about a way through which Kolkata can emerge strongly from the damage.
• Therefore, the most appropriate word to be filled in the blank is 'destruction'.
• The word 'destruction' means the action of destroying something. 
• Example: The flood caused serious destruction to the village.
  

Hence, the correct answer is option 2.

Complete Sentence: But they also felt that Kolkata could emerge stronger from the destruction if it used the opportunity to move from arbitrary plantation drives ...

 

Additional Information

• Let us explore  the other options:
• 'Extinction' means the process of a particular thing ceasing to exist. (किसी विशेष चीज के अस्तित्व के समाप्त होने की प्रक्रिया; विलोप)
• 'Creation' means the act of causing something new to happen or exist. (कोई नई वस्‍तु बनाने या अस्तित्व में लाने की क्रिया; नवनिर्माण)
• 'Construction' means the act or method of building or making something. (निर्माण कार्य या पद्घति)
  

Hinglish

• दिया गया वाक्य "But they also felt that Kolkata could emerge stronger from the (3) if it used the opportunity to move from arbitrary plantation drives ...'' एक ऐसे तरीके के बारे में बता रहा है जिसके माध्यम से कोलकाता क्षति से मजबूती से उभर सकता है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'destruction' है।
• 'Destruction' शब्द का अर्थ है विनाश-क्रिया, विध्वंस।
• उदाहरण: The flood caused serious destruction to the village.

<br>

अत: सही उत्तर विकल्प 2 है।

पूर्ण वाक्य: But they also felt that Kolkata could emerge stronger from the destruction if it used the opportunity to move from arbitrary plantation drives ...

The correct answer is 'are.'

Key Points

• The given sentence "But they also felt that Kolkata could emerge stronger from the destruction if it used the opportunity to move from arbitrary plantation drives to ones that (4) more scientific and rational'' is telling about changing from arbitrary plantation drives to scientific and rational drives.
• The noun 'ones' in the sentence is a plural noun, therefore, it will take a plural verb.
• Therefore, the most appropriate word to be filled in the blank is 'are'.
• The word 'are' means to exist; to be present. 
• Example: There are a lot of trees in our garden.
  

Hence, the correct answer is option 2.

Complete Sentence: But they also felt that Kolkata could emerge stronger from the destruction if it used the opportunity to move from arbitrary plantation drives to ones that are more scientific and rational.

 

Additional Information

• Let us explore  the other options:
• 'Was' is a singular verb. ('was' एक एकवचन क्रिया है)
• 'Have' is a plural verb and means possess, own, or hold. ('Have' एक बहुवचन क्रिया है और इसका अर्थ है किसी बात का अधिकारी होना; किसी वस्‍तु पर अधिकार रखना)
• 'Is' is a singular verb. ('Is' एक एकवचन क्रिया है)
  

Hinglish

• दिया गया वाक्य "But they also felt that Kolkata could emerge stronger from the destruction if it used the opportunity to move from arbitrary plantation drives to ones that (4) more scientific and rational'' मनमाना वृक्षारोपण अभियान से वैज्ञानिक और तर्कसंगत ड्राइव में बदलने के बारे में बता रहा है।
• वाक्य में noun 'ones' बहुवचन संज्ञा है, इसलिए यह बहुवचन क्रिया लेगा।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'are' है।
• 'Are' शब्द का अर्थ है होना; उपस्थित रहना, विद्यमान होना।
• उदाहरण: There are a lot of trees in our garden.

<br>

अत: सही उत्तर विकल्प 2 है।

पूर्ण वाक्य: But they also felt that Kolkata could emerge stronger from the destruction if it used the opportunity to move from arbitrary plantation drives to ones that are more scientific and rational.

The correct answer is 'several.'

Key Points

• The given sentence "The loss of trees is bound to have a great impact on the climate in (5) parts of West Bengal as oxygen levels will go down'' is telling about the impact of the loss of trees on the climate in various parts of Bengal.
• Therefore, the most appropriate word to be filled in the blank is 'several'.
• The word 'several' means more than two but not many; a few. 
• Example: After World War I, as the Ottoman Empire collapsed, several new countries emerged.
  

Hence, the correct answer is option 3.

Complete Sentence: The loss of trees is bound to have a great impact on the climate in several parts of West Bengal as oxygen levels will go down.

 

Additional Information

• Let us explore  the other options:
• 'Much' means a great amount or quantity. (अत्‍यधिक)
• 'Abundant' means existing in very large quantities; more than enough. (बहुत बड़ी मात्रा में विद्यमान, यथेष्‍ट से अधिक; भरपूर)
• 'Differing' means not the same as each other; dissimilar. (एक दूसरे के समान नहीं; भिन्न)
  

Hinglish

• दिया गया वाक्य "The loss of trees is bound to have a great impact on the climate in (5) parts of West Bengal as oxygen levels will go down'' बंगाल के विभिन्न हिस्सों में जलवायु पर पेड़ों के नुकसान के प्रभाव के बारे में बता रहा है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'several' है।
• 'Several' शब्द का अर्थ है दो से कुछ अधिक (बहुत अधिक नहीं), अनेक; कुछ।
• उदाहरण: After World War I, as the Ottoman Empire collapsed, several new countries emerged.

<br>

अत: सही उत्तर विकल्प 3 है।

पूर्ण वाक्य: The loss of trees is bound to have a great impact on the climate in several parts of West Bengal as oxygen levels will go down.

The logic followed here is:-

2nd number = (1st number × 3) - 2

3rd number = (1st number × 6) - 1

(13, 37, 77) →

37 = (13 × 3) - 2

77 = (13 × 6) - 1

Similarly,

(14, 40, 83) →

40 = (14 × 3) - 2

83 = (14 × 4) - 1

Thus, the correct answer is "(14, 40, 83)"

The number of triangles in the given figure is:

 

So, there are a total of 31 triangles in the figure.

Hence, ‘31’ is the correct answer.

The logic followed here is :-

5. Rigorous
6. Royalties
7. Rudiment
8. Rumanian
9. Rumoured

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

The logic followed here is:-

(1st number + 1)2 = 2nd number

13 : 196 → (13 + 1)2 = 142 = 196

Similarly, 

15 : ? → (15 +1)2 = 162 = 256

Thus, the correct answer is "256".

Alternate Method

The logic followed here is:-

13 : 196 → ${(13)^2}$ + (13 × 2 + 1) → 169 + (26 + 1) → 169 + 27 = 196

Similarly,

15 : ? → ${(15)^2}$ + (15 × 2 + 1) → 225 + (30 + 1) → 225 + 31 = 256

Thus, the correct answer is "256".

The logic followed here is :-

Spanner ∶ Grip → Spanner is a tool used to provide Grip for mechanical advantages.

Similarly,

Auger ∶ Bore → Auger is a tool used for boring holes.

Thus, the correct answer is "Auger ∶ Bore".

The logic followed here is :-

STROKE is coded as 2317131089

and,

GLUTEN is coded as 1423871621,

Similarly,

Thus, the correct answer is "232110272025".

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.

In the given figure, Opposite faces are :

 

Thus, opposite face of 1 is "2".

Hence, the correct answer is "2".

By using BODMAS RULE :

Option 1) : −, +, ÷, ×

Given statement : 1496 * 8 * 13 * 40 * 5 = 0

Equation after inserting arithmetic symbols : 

⇒ 1496 - 8 + 13 ÷ 40 × 5 = 0

⇒ 1496 - 8 + 0.325 × 5 = 0

⇒ 1496 - 8 + 1.625 = 0

⇒ 1497.625 - 8 = 0

⇒ 1489.625 ≠ 0

LHS ≠ RHS

Option 2) : ÷, +, −, ×

Given statement : 1496 * 8 * 13 * 40 * 5 = 0

Equation after inserting arithmetic symbols : 

⇒ 1496 ÷ 8 + 13 - 40 × 5 = 0

⇒ 187 + 13 - 40 × 5 = 0

⇒ 187 + 13 - 200 = 0

⇒ 200 - 200 = 0

⇒ 0 = 0

LHS = RHS

Option 3) : +, ÷, −, ×

Given statement : 1496 * 8 * 13 * 40 * 5 = 0

Equation after inserting arithmetic symbols : 

⇒ 1496 + 8 ÷ 13 - 40 × 5 = 0

⇒ 1496 + 0.615 - 40 × 5 = 0

⇒ 1496 + 0.615 - 200 = 0

⇒ 1496.615 - 200 = 0

⇒ 1476.615 ≠ 0

LHS ≠ RHS

Option 4) : +, ÷, ×, −

Given statement : 1496 * 8 * 13 * 40 * 5 = 0

Equation after inserting arithmetic symbols : 

⇒ 1496 + 8 ÷ 13 × 40 - 5 = 0

⇒ 1496 + 0.615 × 40 - 5 = 0

⇒ 1496 + 24.6 - 5 = 0

⇒ 1520.6 - 5 = 0

⇒ 1515.6 ≠ 0

LHS ≠ RHS

Thus, the correct answer is "÷, +, −, ×".

The mirror image for given is as follows :

Thus, the correct answer is "Option 1".

The least possible Venn diagram for given relation is as shown below :

• Cats are larger and different than rats.
• All Cats are mammals.
• All Rats are mammals.

Thus, the correct answer is "Option 1".

Family chart :

Pointing towards Kapil, Aditya said, 'His father is the husband of my father's father's daughter. 

Family diagram :

∴ Hence, Aditya's father is brother to Kapil's mother.

Thus, the correct answer is "Brother".

On close observation we can find problem figure is embedded in option (4) as shown below.

Thus, the correct answer is "Option 4".

The logic followed here is :-

PRINT ∶ TWRIP and CLOSE ∶ ?

Similarly, 

Thus, the correct answer is "EQLNC".

The logic follows here is :-

Figure 1 to figure 2 → The fourth line is rotated 180⁰ and moves one step upward the same repeats for third and second line, and first line is removed and new fourth line added.

Figure 2 to figure 3 → The fourth line is rotated 1800 and moves one step upward the same repeats for third and second line, and first line is removed and new fourth line added.

This process repeats until figure 6 as shown below.

Thus, the correct answer is "Option 2".

The least possible Venn diagram for the given statements is as follows :

Conclusions​:

I. All pillows are beds → False (No direct relation given hence, false)

II. Some pillows are beds → False (No direct relation given hence, false)

III. Some beds are tables → True (All carpets are beds and Some tables are carpets so, Some beds are tables is true)

IV. All tables are beds → False (No direct relation given hence, false)

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

Given :- M T _ R M _ Q R _ V Q _ M W _ R M _ Q R

By checking options and substituting accordingly.

1) Q U M R Q X → M T Q R / M U Q R / M V Q R / M W Q R / M X Q R

2) R U M R Q Y → M T R R / M U Q R / M V Q R / M W Q Y / M Y Q R

3) Q U S R Q R → M T Q R / M U Q R / S V Q R / M W Q Y / M R Q R

4) Q U M Q R X → M T Q R / M U Q R / M V Q Q / M W R Y / M X Q R

Option (1) givens a pattern of MTQR - MUQR - MVQR - MWQR - MXQR

∴ The pattern follows is MTQRMUQRMVQRMWQRMXQR

Thus, the correct answer is "Q U M R Q X".

The pattern followed here is:

4 × 2 = 8 + 3 = 11

11 × 3 = 33 - 2 = 31

31 × 2 = 62 + 3 = 65

65 × 3 = 195 - 2 = 193

193 × 2 = 386 + 3 = 389

Thus, the correct answer is "389".

The logic follows here is :-

The words confrontation, fuss, strife defines about confits and for argumentative situations and WAR.

Whereas,

Peace is opposite word of those three alternative words.

Thus, the correct answer is "Peace".

The logic follows here is :-

Given, sum of 3% of A and 6% of B is four-fifth of the sum of 4% of A and 6% of B.

⇒ 3/100 × A + 6/100 × B = 4/5 (4/100 × A + 6/100 × B)

⇒ 3A + 6B = 4/5 (4A + 6B)

⇒ 5 (3A + 6B) = 4 (4A + 6B)

⇒ 15A + 30B = 16A + 24B

⇒ 6B = A

⇒ B/A = 1/6

∴ A = 6 and B = 1

⇒ A + B = 6 + 1 = 7

⇒ A - B = 6 - 1 = 5

Ratio of A + B and A - B is :

A + B / A - B = 7 / 5

A + B : A - B = 7 : 5

Thus, the correct answer is "7 : 5".

The logic followed here is :-

5 ∶ 105 → ${5^3 - 5^2}$ → 125 - 25 = 100

6 ∶ 180 → ${6^3 - 6^2}$ → 216 - 36 = 180

7 ∶ 294 → ${7^3 - 7^2}$ → 343 - 49 = 294

3 ∶ 18 → ${3^3 - 3^2}$ → 27 - 9 = 18

Hence, 5 ∶ 105 is different from other three alternatives.

Thus, the correct answer is "5 ∶ 105".

The logic followed here is:-

HDLS

GCKT

DZHW

PLSK

Hence, PLSK is different from other three alternatives.

Hence, the correct answer is "PLSK".

Alternate Method

The logic followed here is:

Sum of positional value of the all letters = prime number.

1. HDLS → 8 + 4 + 12 + 19 = 43

2. GCKT → 7 + 3 + 11 + 20 = 41

3. DZHW → 4 + 26 + 8 + 23 = 61

4) PLSK → 16 + 12 + 19 + 11 = 58

Hence, the correct answer is "PLSK".

The folded image after unfolding then the image is as follows:-

Thus, the correct answer is "Option 2".

The logic followed here is :-

ORANGE is written as LKZGTX :

And

MIRACLE is written as NBITXEV :

Similarly, 

LOCKDOWN will be written as :

Hence, the correct answer is "OHXDWHDG".

The logic followed here is :-

Awl is a tool used by Cobbler.

and

Chisel is a tool used by Sculptor.

Similarly,

Anvil is the tool used by "Blacksmith".

Thus, the correct answer is "Blacksmith".

The logic followed here is :-

Middle number = (${(First number)^3 + (Third number)^3}$) ÷ 2

Given set is :

(4, 140, 6) → ${4^3 + 6^3}$ → 64 + 216 = 280 ÷ 2 = 140

Similarly,

(5, 234, 7) →  ${5^3 + 7^3}$ → 125 + 343 = 468 ÷ 2 = 234

Thus, the correct answer is "234".

Calculation:

Total Demand of 5 companies together = (6000 + 1000 + 5000 + 2500 + 6500)

⇒ 21,000

Total Production of 5 companies together = (3000 + 3500 + 2000 + 5500 + 4500)

⇒ 18,500

Required Difference = (21,000  -  18,500)

⇒ 2500

Required average = 2500/5

⇒ 500

∴ Required average is 500

Given:

Perimeter = 86 cm

Ratio of Area and its breadth = 9 : 1

Formula used:

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2 (Length + Breadth)

Calculation:

Area ÷ Breadth = 9 : 1

⇒ (L × B) ÷ B = 9 ÷ 1

⇒ L = 9 cm

Now, Perimeter of rectangle = 2 (Length + Breadth)

⇒ 86 = 2(9 + Breadth)

⇒ 9 + Breadth = 43

⇒ Breadth = 34 cm

∴ Breadth of rectangle is 34 cm

Given:

BP = BQ

∠ABP = 64°

Concept used:

Tangent chord theorem - The angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.

Tangents drawn from external point are equal

Calculation:

∠ABP = ∠PQB = 64° [The angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment]

Then,

∠PQB = ∠BPQ = 64° [Angle opposite to equal sides]

Now,

In ΔPBQ

⇒ ∠PQB + ∠BPQ + ∠PBQ = 180° [Angle sum property of a triangle]

⇒ 64° + 64° + ∠PBQ = 180° 

⇒ 128° + ∠PBQ = 180° 

⇒ ∠PBQ = 180° – 128° 

⇒ ∠PBQ = 52° 

∴ The required value of ∠PBQ is 52°

Given:

sinα + cosec α = tan π/3

Formula used:

sin θ = 1/cosec θ 

(a + b)3 = a3 + b3 + 3ab(a + b)

Note: cosec θ represent cosec θ 

Calculation: 

sinα + cosec α = tan π/3

⇒ sinα + cosec α = √3       ------(1)

Now, taking cube both sides,

(sinα + cosec α)3 = (√3)³

By using identity (a + b)3 = a3 + b3 + 3ab(a + b)

⇒ (sin3α + cosec3α) + 3 (sinα cosec α) (sinα + cosec α) = (√3)3

Since, sin α cosec α = 1 

⇒ (sin3α + cosec3α) + 3 × √3 = 3√3    [using equation (1)]

⇒ (sin3α + cosec3α) = 3√3 – 3√3

⇒ (sin3α + cosec3α) = 0

∴ The required value is 0

Key Pointscosec θ represents cosec θ and this is also the standard representation.

Calculation:

h% of 5000 = 1000

⇒ (h/100) × 5000 = 1000

⇒ 50h = 1000

⇒ h = 20

∴ Value of h is 20

Calculation:

Percentage of section C = 100% - (20% + 18% + 17% + 14% + 12%)

⇒ 100% – 81%

⇒ 19%

Now, Population of section C = 19% of 300

⇒ 57

Now, number of girls in section C = (57 – 34)

⇒ 23

Population of section D = 17% of 300

⇒ 51

So, number of girls in section D = 51 – 28

⇒ 23

Total number of girls in section C and section D together = (23 + 23)

⇒ 46

∴ Required number is 46

Given:

Average age of 35 persons = 40 years

Average age of 5 new persons = 35 years

Concept used:

Sum of observations = Average × Number of Observations

Calculation:

Total age of 35 persons = 35 × 40

⇒ 1400

Total age of 5 new persons = 5 × 35

⇒ 175

Total age of 40 persons = (1400 + 175)

⇒ 1575

Average age of all persons = 1575 ÷ 40

⇒ 315/8 years = $39\frac{3}{8}$ years

∴ Required average is $39\frac{3}{8}$ years

Given:

Principal = Rs. 5000

Rate of interest = 15%

Amount = Rs. 6500

Formula used:

Interest = Amount – Principal

Interest = PRT/100

Calculation:

Interest = Rs. (6500  -  5000)

⇒ Rs. 1500

Now, (5000 × 15 × T)/100 = 1500

⇒ 750T = 1500

⇒ T = 2 years

∴ Required time is 2 years

Shortcut Trick

Net percentage change = a + b + (a × b) ÷ 100

Here, markup percentage a = +25% and discount percentage b = −40%.

Net Profit/Loss % = 25 − 40 + (25 × −40) ÷ 100

Net Profit/Loss % = −15 − 1000 ÷ 100 = −15 − 10 = −25%.

The negative sign indicates a loss.

∴ The correct answer is 25%.

Alternate Method

Given → Markup % = 25%, Discount % = 40%. Formulas: MP = CP × (100 + Markup%) ÷ 100 | SP = MP × (100 − Discount%) ÷ 100 | Loss% = (CP − SP) ÷ CP × 100.

⇒ Let Cost Price (CP) = 100. ⇒ Marked Price (MP) = 100 + 25% of 100 = 125. ⇒ Selling Price (SP) = 125 − 40% of 125 = 125 − 50 = 75. ⇒ Loss = CP − SP = 100 − 75 = 25. ⇒ Loss % = (25 ÷ 100) × 100 = 25%.

∴ The correct answer is 25%.

Additional Information

Marked Price & Discount

The Marked Price is the price listed on the label. Discount is always calculated on the Marked Price.

Effective Percentage

When a value is increased by x% and then decreased by y%, the net effect is given by x − y − (xy ÷ 100).

Given:

Initial Cost price = Rs. 1,800

Final Cost price = Rs. 2,100

Calculation:

Increment = Rs. (2100 – 1800)

⇒ Rs. 300

Percentage increase = (300/1800) × 100

⇒ 50/3% = ​​​$16 \frac{2}{3}$%

∴ Percentage increase is $16 \frac{2}{3}$%

Given:

The radius of semi-circle = 6 cm

Concept used:

The largest triangle that can be inscribed in a semi-circle will have base equal to the diameter and the height equal to the radius of the semi-circle.

Formula used:

Area of triangle = 1/2 × base × height

Calculation:

Base = 2 × r = (2 × 6) cm

⇒ 12 cm

Height = 6 cm

Now,

Area of the triangle = (1/2 × 12 × 6) cm²

⇒ 36 cm²

∴ The area of the largest triangle that can be inscribed in a semi-circle is 36 cm²

Shortcut Trick

Given PR : RQ = 1 : 3, the total length of PQ is 1 + 3 = 4 parts.

Since PR = 1 part = 4 cm, the total length PQ = 4 × 4 = 16 cm.

By the Mid-Point Theorem, the base BC is twice the segment connecting the mid-points.

BC = 2 × PQ = 2 × 16 = 32 cm.

∴ The correct answer is 32 cm.

Alternate Method

A B C P Q R

4 cm 12 cm BC = 32 cm

Given:

⇒ In ΔABC, P and Q are mid-points of sides AB and AC respectively.

⇒ R is a point on PQ such that PR : RQ = 1 : 3.

⇒ PR = 4 cm.

Formula Used:

⇒ Mid-Point Theorem: The line segment connecting the mid-points of two sides of a triangle is parallel to the third side and is half of its length.

⇒ PQ = BC ÷ 2

Calculations:

⇒ Let the lengths of PR and RQ be 1x and 3x respectively.

⇒ We are given that PR = 4 cm.

⇒ 1x = 4 cm ⇒ x = 4 cm.

⇒ Length of RQ = 3x = 3 × 4 = 12 cm.

⇒ Total length of PQ = PR + RQ

⇒ PQ = 4 cm + 12 cm = 16 cm.

⇒ According to the mid-point theorem, PQ = BC ÷ 2.

⇒ BC = 2 × PQ

⇒ BC = 2 × 16 = 32 cm.

∴ The correct answer is 32 cm.

Additional Information

Mid-Point Theorem

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of its length.

Basic Proportionality Theorem (Thales Theorem)

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. (AD / DB = AE / EC).

Centroid of a Triangle

The point where all three medians of a triangle intersect. The centroid divides each median into a 2 : 1 ratio, starting from the vertex to the midpoint of the opposite side.

Given:

The largest six-digit number exactly divisible by 243

Formula used:

Required largest n-digit no. = [(Largest n-digit no.) – (Remainder left when the largest n-digit no. is divided by the provided divisor)].

Calculation:

The largest six digit number = 999999

Now,

The largest six digit number divisible by 243 

⇒ (999999/243)

Then, we get remainder = 54

Now,

Required largest n-digit no. = [(Largest n-digit no.) – (Remainder left when the largest n-digit no. is divided by the provided divisor)].

⇒ (999999 – 54)

⇒ 999945

∴ The largest six-digit number exactly divisible by 243 is 999945

Shortcut TrickCalculation:

Factors of 243 = 81 × 3

If any number divided by 9 and 3, that is divisible by 243.

So if we take first option 

Sum of digit of 999945 = 9 + 9 + 9 + 9 + 4 + 5 = 45

45 is divisible by 9 and 3. So 999945 is divided by 243.

So if we take the second option, 

Sum of digit of 999943 = 9 + 9 + 9 + 9 + 4 + 3 = 43

43 is not divisible by 9 and 3. So 999943 is not divided by 243.

So if we take the third option 

Sum of digit of 999947 = 9 + 9 + 9 + 9 + 4 + 7 = 47

47 is divisible by 9 and 3. So 999947 is divided by 243.

So if we take the fourth option, 

Sum of digit of 999949 = 9 + 9 + 9 + 9 + 4 + 9 = 49

49 is not divisible by 9 and 3. So 999949 is not divided by 243.

∴ The correct option is 1.

Shortcut Trick

Combine the ratios: A : B = 4 : 3 and B : C = 5 : 4.

Balanced ratio A : B : C = (4×5) : (3×5) : (3×4) = 20 : 15 : 12.

Total units = 20 + 15 + 12 = 47 units.

47 units = ₹9,400 → 1 unit = ₹200.

Share of C = 12 units = 12 × 200 = ₹2,400.

∴ The correct answer is ₹2,400.

Alternate Method

Given: Total sum = ₹9,400, A : B = 4 : 3, B : C = 5 : 4.

Formula Used: Ratio equalization and division of sum.

⇒ A : B = 4 : 3 (multiply by 5) = 20 : 15
⇒ B : C = 5 : 4 (multiply by 3) = 15 : 12
⇒ Combined Ratio A : B : C = 20 : 15 : 12
⇒ Sum of parts = 20 + 15 + 12 = 47
⇒ Share of C = (12 ÷ 47) × 9400
⇒ Share of C = 12 × 200 = 2400

∴ The correct answer is ₹2,400.

Additional Information

Compound Ratio

When two or more ratios like a:b and c:d are given, the compound ratio is calculated as (a×c) : (b×d).

Ratio Equalization

To combine A:B and B:C, make the common term (B) equal by multiplying the ratios with suitable constants.

Proportional Division

Share of a component = (Specific Ratio Part ÷ Total Ratio Parts) × Total Value.

Given:

SP = Rs. 6,55,000

Loss% = 20%

New Profit = 15%

Calculation:

Let CP be 100x

Now, SP after 20% loss = Rs. 100x × (100 – 20)%

⇒ Rs. 80x

And, SP after 15% profit = Rs. 100x × (100 + 15)%

⇒ Rs. 115x

According to the question,

⇒ 80x = Rs. 6,55,000

⇒ 115x = Rs. (6,55,000/80) × 115

⇒ Rs. 941,562.50

∴ Required SP is Rs. 941,562.50

Given:

The diameter of the circle = 50 cm

The length of one chord = 40 cm

The distance between the two chords = 22 cm

Formula used:

H² = B² + P²

Calculation:

AB and PQ are two chords, and O is the centre of the circle.

M is the midpoint of AB and N is the midpoint of PQ

OB = OQ = 25 cm [radius of the circle]

AB = 40 cm and MN = 22 cm

Let OM = x

Then,

ON = (22 – x) cm

MB = 40/2 = 20 cm

In ΔMOB

(OB)² = (OM)² + (MB)²

⇒ (25)² = (OM)² + (20)²

⇒ 625 = (OM)² + 400

⇒ (OM)² = (625 – 400)

⇒ (OM)² = 225

⇒ OM = 15 cm

Now,

ON = (22 – x) = (22 – 15) 

⇒ ON = 7 cm

In ΔONQ

(OQ)² = (ON)² + (NQ)²

⇒ (25)² = (7)² + (NQ)²

⇒ 625 = 49 + (NQ)²

⇒ (NQ)² = (625 – 49)

⇒ (NQ)² = 576

⇒ NQ = 24 cm

PQ = 2NQ

⇒ PQ = 2 × 24 cm

⇒ PQ = 48 cm

∴ The length of the other chord is 48 cm

Calculation:

Total percentage of qualified students from the Districts A, C and F = (15% + 28% + 5%)

⇒ 48%

The average number of qualified students from the Districts A, C and F = (48% of 68000)/3

⇒ (48/100 × 68000)/3

⇒ 32640/3

⇒ 10880

Total percentage of qualified students from the Districts B, D and E = (25% + 18% + 9%)

⇒ 52%

The average number of qualified students from the Districts B, D and E = (52% of 68000)/3

⇒ (52/100 × 68000)/3

⇒ 35360/3

⇒ 11786.66 ~ 11787

Required difference = (11787 – 10880)

⇒ 907

∴ The required difference is 907

Given:

x = 555, y = 556 and z = 557

Formula used:

x3 + y3 + z3 – 3xyz = 1/2(x + y + z) [(x – y)² + (y – z)² + (z – a)²]

Calculation:

x3 + y3 + z3 – 3xyz = 1/2(x + y + z) [(x – y)2 + (y – z)2 + (z – a)²

⇒ x3 + y3 + z3 – 3xyz = 1/2(555 + 556 + 557)[(555 – 556)² + (556 – 557)² + (557 – 555)²]

⇒ x3 + y3 + z3 – 3xyz = 1/2 × 1668 [(-1)² + (-1)² + (2)²]

⇒ x3 + y3 + z3 – 3xyz = 834 × (1 + 1 + 4)

⇒ x3 + y3 + z3 – 3xyz = 834 × 6

⇒ x3 + y3 + z3 – 3xyz = 5004

∴ The required value is 5004

Concept Used:          

Follow the BODMAS rule according to the table given below:

Calculation:

364 - [142 - {75 + (38 - $\overline{\frac{5}{4}+\frac{14}{8}}$)}]

⇒ 364 – [142 – {75 + (38 – (10 + 14)/8)}]

⇒ 364 – [142 – {75 + (38 – 24/8)}]

⇒ 364 – [142 – {75 + (38 – 3)}]

⇒ 364 – [142 – {75 + 35}]

⇒ 364 – [142 – 110]

⇒ 364 – 32

⇒ 332

∴ The required value is 332

Given:

Time taken by Varun to dig  a pond = 10 days

Time taken by Gaurav to dig a pond = 18 days

Total amount received = Rs. 7280

Concept used:

Amount shared will be as per the efficiency of Varun and Gaurav

Calculation:

LCM of 10 and 18 = 90 = Total work

Efficiency of Varun = 90/10 = 9 units/day

Efficiency of Gaurav = 90/18 = 5 units/day

Share of Gaurav = Rs. 7280 × (5/14)

⇒ Rs. 2600

∴ Share of Gaurav is Rs. 2600

Given:

6tan2 α – 2 = 0

Calculation:

6tan2 α – 2 = 0

⇒ tan²α = 2/6

⇒ tan²α = 1/3

⇒ tanα = 1/√3 = tan 30° 

⇒ α = 30° 

∴ The required value of α is 30°

Given:

3a – b = 1 and ab = 4

Formula used:

(a – b)² = a² + b² – 2ab 

Calculation:

3a – b = 1

squaring both sides

(3a)² + (b)² – 2 × 3a × b = (1)²

⇒ 9a² + b² – 6ab = 1

Adding 12ab both sides, we get

⇒ 9a2 + b2 – 6ab + 12ab = 1 + 12ab

⇒ 9a² + b² + 6ab = 1 + 12ab

⇒ (3a + b)² = 1 + 12ab

⇒ (3a + b)² = 1 + 12 × 4

⇒ (3a + b)² = 1 + 48

⇒ (3a + b)² = 49

⇒ (3a + b)² = 7²

⇒ (3a + b) = 7

Now,

(9a2 - b2) = (3a - b)(3a + b) = 1 × 7 = 7

∴ The required value is 7

Given:

a + 5b = 25 and ab = 20

Formula used:

(a + b)² = a² + b² + 2ab

Calculation:

a + 5b = 25

Squaring both sides

(a² + 5b² + 2 × a × 5b) = 25²

⇒ a² + 25b² + 10ab = 625

Now,

Adding -20ab both sides, we get

⇒  a2 + 25b2 + 10ab – 20ab = 625 – 20ab

⇒ a² + 25b² – 10ab = 625 – 20ab

⇒ (a – 5b)² = 625 – 20 × 20

⇒ (a – 5b)² = 625 – 400

⇒ (a – 5b)² = 225

⇒ (a – 5b)² = 15²

⇒ (a – 5b) = 15

∴ The required value is 15

Given:

$\frac{cos^2 89^\circ \ + \ cos^2 1^\circ}{cos 30^\circ \ sin90^\circ \ - \ sin30^\circ cos90^\circ}$

Formula used:

sin²θ + cos²θ = 1

sin 30° = 1/2

sin 90° = 1

cos 30° = √3/2

cos 90° = 0

Calculation:

$\frac{cos^2 89^\circ \ + \ cos^2 1^\circ}{cos 30^\circ \ sin90^\circ \ - \ sin30^\circ cos90^\circ}$

⇒ sin²1° + cos²1°/(√3/2 × 1) – (1/2 × 0)

⇒ 1/(√3/2 – 0)

⇒ 2/√3

∴ The required value is 2/√3

Given:

Speed at X to Y = 10 km/hr

Speed at Y to Z = 15 km/hr

Speed at Z to W = 20 km/hr

Distance of XY =Distance of YZ = Distance of ZW

Formula used:

Average speed = Total Distance/Total time taken

Calculation:

Let the distance between XY, YZ and ZW each be x, respectively

So, Total time taken = (x/10) + (x/15) + (x/20) hours

⇒ (6x + 4x + 3x)/60 = 13x/60

Now, Total distance = (x + x + x) km

⇒ 3x km

Now, Average speed = 3x ÷ (13x/60)

⇒ 3x × (60/13x)

⇒ 180/13 km/hr = $13\frac{11}{13}$ km/hr

∴ Average speed for the entire journey is $13\frac{11}{13}$ km/hr.

Alternate MethodCalculation:

Now,

Average speed = (60 × 3)/(6 + 4 + 3)

Average speed = 180/13 = 13$\frac{11}{13}$ km/hr

∴ The correct answer is 13$\frac{11}{13}$ km/hr.

The correct answer is Dentin.

Key Points

• The largest dental tissue is Dentin.
• Dentin is a composite substance of organic and inorganic material found in the tooth's interior.
• Dentin is pale yellow and becomes darker with age.
• It constitutes the bulk of the tooth, providing its structure and protecting the more sensitive pulp inside of it.
• It is one of the major components of human teeth. When dentin is damaged or exposed, a variety of problems can occur, such as tooth sensitivity.

Additional Information

• Dentin is one of four major components of a tooth. The other layers of a tooth include:
• Enamel:
• Calcified tissue acts as a protective barrier for the crown of the tooth. It is the hardest substance in the human body, composed of hydroxyapatite crystals (calcium and phosphate ions).
• Dental pulp:
• This soft tissue forms the tooth's inner core, containing the blood vessels and nerves.
• Cementum:
• ​Forms a tough, protective covering of the root of the tooth, anchoring it in the jaw bone.
• The pictorial diagram of the structure of teeth is as follows:

The correct answer is 1875.

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Key Points

• The Bombay Stock Exchange (BSE) was established in the year 1875.
• It is the largest stock exchange in India and Asia as well.
• It was recognized as an official organization by the name 'The Native Share & Stock Brokers Association'.
• As per the Securities Contracts Regulation Act, BSE became the first stock exchange to be recognized by the Government of India in 1956.
• The headquarters of the Bombay Stock Exchange is in Mumbai.

The correct answer is Sukma.

Key Points

• In January 2020 Sukma secured a top position among the 115 aspirational districts that received grading on a system devised by the NITI Aayog.
• 10 districts of Chhattisgarh State are selected as 'Aspirational Districts' in the country.
• Name of 10 Districts of Chhattisgarh as Aspirational Districts':
• Bastar.
• Dantewada.
• Kanker.
• Korba.
• Mahasamund.
• Rajnandagaon.
• Bijapur.
• Narayanpur.
• Sukma.
• Kondagaon.

Additional Information

• Living standards in India are affected by significant inter-state and inter-district variations. In order to remove this heterogeneity, the government has launched in January 2018, the 'Transformation of Aspirational Districts' programme (ADP).
• Aspirational Districts' Programme :
• Aspirational Districts are those districts in India, that are affected by poor socio-economic indicators.
• These are aspirational in the context, that improvement in these districts can lead to the overall improvement in human development in India.
• The 115 districts were identified from 28 states, at least one from each state.
• At the Government of India level, the programme is anchored by NITI Aayog.
• In addition, individual Ministries have assumed the responsibility to drive the progress of districts.
• The objective of the program is to monitor the real-time progress of aspirational districts.
• ADP is based on 49 indicators from the 5 identified thematic areas, which focus closely on improving people's Health & Nutrition, Education, Agriculture & Water Resources, Financial Inclusion & Skill Development, and Basic Infrastructure.
• With States as the main drivers, ADP seeks to focus on the strength of each district, identify low-hanging fruits for immediate improvement, measure progress, and rank districts.
• The broad contours of the programme are:
• Convergence of Central & State Schemes) brings together the horizontal and vertical tiers of the government Collaboration of Central, State level 'Prabhari' Officers & District Collectors) enables impactful partnerships between government, market, and civil society.
• Competition among districts driven by a spirit of the mass movement fosters accountability on district governments.
• The Aspirational Districts Programme (ADP) is one of the largest experiments on outcomes-focused governance in the world.

The correct answer is Jharkhand.

Key Points

• The rivers Damodar, Brahmani, and Kharkai originate from the state of Jharkhand in India.
• Jharkhand fares poorly in terms of canal irrigation because the area is hilly.
• Most of the rivers of Jharkhand are seasonal in nature.
• They remain dry throughout the year but during the monsoon, season water gets overflowed in these rivers.
• As the monsoon approaches the whole country the water level in other higher rivers also increases which flows down to the rivers of Jharkhand thus causing floods in different districts of the state.

Additional Information

• North-East Jharkhand areas like Sahibganj, Godda are very much prone to floods because the Ganga River passes through the surrounding areas.
• Much of Jharkhand lies on the Chota Nagpur Plateau where many rivers pass through such as Damodar, Brahmani, Koel, Subarnarekha, and Kharkai rivers.
• The main concentration of canal irrigation is in the northern plain of India. The digging of canals in rocky and uneven areas is difficult and uneconomic.
• The undulating relief and hard rocks make it difficult to dig canals and wells.
• It is also difficult to artificially flow water from ground level to the level of hills. It is not economical to use this much electrical energy to lift water.

The correct answer is Bibi's Tomb.

Key Points

• The Bibi Ka Maqbara or Bibi's Tomb is a tomb built during the Mughal period in India
• It is located in Aurangabad, Maharashtra.
• Bibi Ka Maqbara was commissioned by the sixth Mughal emperor Aurangzeb in 1660.
• Aurangzeb commissioned the Bibi Ka Maqbara in memory of his wife Dilras Banu Begum.
• Due to its resemblance to the Taj Mahal, Bibi Ka Maqbara is also known as the ‘Taj of the Deccan’.

Additional Information

• The Allahabad Fort was built by the Mughal emperor Akbar at Allahabad in 1583.
• Zeenat-Un-Mosque was built by Zeenat-un-Nisa, the daughter of Aurangzeb in 1700 AD

The correct answer is Kaveri.

Key Points

• Kaveri River is known as the Ganges of South India.
• It flows through the states of Karnataka and Tamil Nadu.
• It rises at Talakaveri in the Brahmagiri Hill of the Western Ghats in the state of Karnataka.
• It is the third-largest river in south India after Godavari and Krishna and drains into the Bay of Bengal.

Confusion Points

• Kaveri River is known as the Ganges of South India.
• The Godavari is known as Dakshin Ganga.

Additional Information

• River Godavari:
• The Godavari is known as Dakshin Ganga.
• The Godavari River rises from Trimbakeshwar in the Nashik district of Maharashtra.
• Penganga, Wainganga, Wardha and Manjira are the few important tributaries.
• River Krishna:
• The river extends over the states of Andhra Pradesh, Maharashtra, and Karnataka.
• Krishna river originates in the Western Ghats near Mahabaleshwar.
• Ghatprabha, Malprabha, Tungabhadra, Bhima, and Musi are the few important tributaries.