SSC CHSL 2020 Official Paper 21 (Held on: 5 Aug 2021 Shift 3) (Previous Year Paper)

The correct answer is 'Martial'.

Key Points

• The most appropriate word of the given group of words is 'Martial'.
• Martial: connected with war युद्घ-संबंधी, सामरिक
• Example: Martial law was proclaimed.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Answer: Martial.

Additional Information

• Let's look at the meaning of other words:
• Official:  connected with the position of somebody in authority अधिकारी के पद से संबंधित, पदीय, शासकीय
• Political: connected with politics and government राजनीतिक, राजनीति और सरकार से संबंधित

The correct answer is 'limitations'.

Key Points

• The most appropriate word for the given blank is 'limitations'.
• In the given context, the word 'limitations' means 'things that you cannot do वे काम जो आप नहीं कर सकते, सीमाएँ'.
• Example: It is important to know your own limitations.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Sentence: Despite their limitations, impersonal rules that apply to all essential in large systems.

Additional Information

• Let's look at the meaning of other words:
• Advantages: something that may help you to do better than other people लाभ या फ़ायदे की स्थिति
• Support: to help somebody by saying that you agree with him/her/it, and sometimes giving practical help such as money किसी को (सहमति के आधार पर) समर्थन देना या किसी की (धन देकर) सहायता करना
• Benefits: an advantage or useful effect that something has लाभ, हित, फ़ायदा

The correct answer is 'To take interest in others’ affairs'.

Key Points

• The most appropriate meaning of the given idiom 'To poke one's nose into' is 'To take interest in others affairs'.
• To poke one’s nose into: take an intrusive interest in (में दखलंदाजी करना)
• Example: It's not like you poke your nose into areas that don't concern you.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct Answer: To take interest in others' affairs.

The correct answer is 'The government will install Wi-Fi hotspots in remote areas by 2022.'

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:
• The subject of the given sentence is 'Wi-Fi hotspots'.
• The object of the given sentence is 'the government'.
• The passive voice structure of these kinds of sentences is 'Will + be + V3'.
• Example:
• He will play football. (Active Voice)
• Football will be played by him. (Passive Voice)
• The subject will be put in place of the object and the object will be put in place of the subject.
• 'will be installed' will be changed into 'will install'.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Sentence: The government will install Wi-Fi hotspots in remote areas by 2022.

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:
• दिए गए वाक्य का subject 'Wi-Fi hotspots' है।
• दिए गए वाक्य का object 'the government' है।
• इस प्रकार के वाक्यों की निष्क्रिय आवाज संरचना 'Will + be + V3' है।
• उदाहरण:
• He will play football. (Active Voice)
• Football will be played by him. (Passive Voice)
• Object के स्थान पर Subject रखा जाएगा और Subject के स्थान पर Object रखी जाएगी।
• 'will be installed' को 'will install' में बदल दिया जाएगा।
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 4 है।

The correct answer is 'Despite of being'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'Despite being' should be used instead of 'Despite of being'.
• We know that 'despite' is never followed by 'of'.
• It means 'without being affected by the thing mentioned के बावजूद'
• Example: Despite having very little money, they enjoy life.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Sentence: Despite being a close friend he did not help me in any way.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहां 'Despite of being' के बजाय 'Despite being' का इस्तेमाल किया जाना चाहिए।
• हम जानते हैं कि 'Despite' के बाद कभी भी 'of' नहीं आता है।
• Example: Despite having very little money, they enjoy life.
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 4 है।

The correct answer is 'pulled down'.

Key Points

• The most appropriate phrasal verb for the given blank is 'pulled down'.
• It means 'demolish a building (एक इमारत को ध्वस्त करना)'.
• Example: The house was pulled down and the site redeveloped.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Sentence: The old building was pulled down by the authorities.

Additional Information

• Let's look at the meaning of other Options:
• Pulled off: succeed in achieving or winning something difficult (कुछ मुश्किल हासिल करने या जीतने में सफल होना)
• Pulled through: to survive a dangerous or difficult situation (एक खतरनाक या कठिन स्थिति से बचने के लिए)
• Pulled up: (to cause a car, etc.) to stop कार आदि को रोक देना

The correct answer is 'Announce'.

Key Points

• The most appropriate synonym of the given word 'Herald' is 'Announce'.
• Herald: to be a sign that something is going to happen soon इस बात का संकेत होना कि कुछ घटित होने वाला है
• Example: The minister’s speech heralded a change of policy.
• Announce: to make something known publicly and officially घोषणा करना, ऐलान करना
• Example: They announced that our train had been delayed.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct Answer: Announce.

Additional Information

• Let's look at the meaning of other words:
• Halt: a short stop in some activity, movement or growth (कार्य, गतिविधि या विकास प्रक्रिया में) लघु विराम या रुकाव
• Succeed: to manage to achieve what you want; to do well अभीष्‍ट को प्राप्‍त कर लेना; सफल होना; कामयाब होना
• Suppress: to stop something by using force बल के प्रयोग से किसी को शांत कर देना; दमन करना

The correct answer is 'so as to give'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'so as to give' should be used instead of 'so that to gave'.
• In the given sentence 'so as to' is a phrase.
• It means 'In order to; with the intention of (के लिए; इस इरादे से)'.
• After, 'to' infinitive the base form of verb that is 'give' should be used.
• • Example: The police cordoned off the streets so as to create a clear path for the president's caravan.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Sentence: Large glasses magnified his eyes so as to give him the appearance of a wise owl. 

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहाँ 'so that to gave' के स्थान पर 'so as to give' का प्रयोग किया जाना चाहिए।
• दिए गए वाक्य में 'to as to' एक phrase है।
• इसका अर्थ है 'करने के लिए; (के लिए; इस से ) के इरादे से'।
• Verb 'give' के base form 'to' के बाद प्रयोग करना चाहिए।
• ​Example: The police cordoned off the streets so as to create a clear path for the president's caravan.
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 2 है।

The Incorrect spelling is 'Temparary'.

Key Points

• Among the given Options the incorrectly spelt word is 'Temparary'.
• Its correct spelling is 'Temporary'.
• It means 'lasting for a short time; not permanent अल्‍पकालिक, अस्‍थायी'.
• Example: A temporary sensation entered her mind as if a breeze ruffled through her thoughts.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct Answer: Temparary.

Additional Information

• Let's look at the meaning of other words:
• Fragrance: a pleasant smell ख़ुशबू, सुगंध
• Interfere: to get involved in a situation which does not involve you and where you are not wanted स्‍वयं अलिप्‍त रहते हुए दूसरे के मामले में (उसकी इच्‍छा के विरुद्घ) लिप्‍त होना, दख़ल देना; हस्‍तक्षेप करना
• Accustomed: if you are accustomed to something, you are used to it and it is not strange for you किसी बात का आदी या अभ्‍यस्‍त

The correct answer is 'Liberal'.

Key Points

• The most appropriate antonym of the given word 'Restrictive' is 'Liberal'.
• Restrictive: limiting; preventing people from doing what they want सीमित करने वाला; लोगों को मनचाहे काम करने से रोकने वाला; प्रतिबंधक
• Example: While the regulations may seem restrictive, they are meant to protect children.
• Liberal: accepting different opinions or kinds of behaviour; tolerant भिन्‍न मतों और व्‍यवहारों के प्रति उदार; सहिष्‍णु
• Example: He has very liberal parents.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Answer: Liberal.

Additional Information

• Let's look at the meaning of other words:
• Thrifty: using money and other resources carefully and not wastefully धन और अन्य संसाधनों का सावधानीपूर्वक उपयोग करना और व्यर्थ नहीं करना
• Closed: not open खुला नहीं
• Broad: including many different people or things विस्‍तृत

The correct answer is 'hypocrite'.

Key Points

• The most appropriate word for the given group of words is 'hypocrite'.
• It means 'a person who pretends to have moral standards or opinions which he/she does not really have. Hypocrites say one thing and do another (वास्‍तविकता के विपरीत) उच्‍च नैतिक मानदंड और व्‍यवहार का ढोंग रचने वाला व्‍यक्ति; पाखंडी, ढोंगी'.
• Example: What a hypocrite! She says she’s against the hunting of animals but she’s wearing a fur coat.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct Answer: hypocrite.

Additional Information

• Let's look at the meaning of other words:
• optimist: a person who tends to be hopeful and confident about the future or the success of something आशावादी व्यक्ति
• fanatic: a person who is very enthusiastic about something and may have extreme or dangerous opinions (especially about religion or politics) कट्टर व्‍यक्ति (विशेषतः धर्म या राजनीति के विषय में)
• stoic: suffering pain or difficulty without complaining दुख के प्रति उदासीन; विरक्त

The correct answer is 'but neither of them were'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'but neither of them was' should be used instead of 'but neither of them were'.
• The structure of these kinds of sentences is as follows:
• Neither of+Plural Noun/Pronoun+Singular Verb.
• Example: Neither of them looks after him.
• Hence, 'was' should be used.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Answer: The police arrested two young men but neither of them was responsible for the robbery.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहाँ, 'but neither of them were' के स्थान पर 'but neither of them was' का प्रयोग किया जाना चाहिए।
• इस प्रकार के वाक्यों की संरचना इस प्रकार है:
• Neither of+Plural Noun/Pronoun+Singular Verb.
• Example: Neither of them looks after him.
• इसलिए, 'was' का प्रयोग किया जाना चाहिए।
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 2 है।

The correct answer is 'DACB'.

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 D will be the first sentence because it is an introductory sentence explaining how the witnesses give a description of a crime to the police.
• Sentence A will be the next sentence because it further explains Sentence D.
• Sentence C will be the next sentence because it explains how computers help them.
• Lastly, Sentence B will be used.
• Thus, the correct sequence is:
• D: After a crime, witnesses often give the police a description and thus help to identify the criminal.
• A: Earlier, they had to look through hundreds of mugshots in large books and they could make a positive identification only in 5% of the cases.
• C: Now computers make this easier for witnesses by projecting only pictures that match the descriptions closely.
• B: This saves a lot of time and effort and also leads to more positive identifications.

Correct Sequence: After a crime, witnesses often give the police a description and thus help to identify the criminal. Earlier, they had to look through hundreds of mugshots in large books and they could make a positive identification only in 5% of the cases. Now computers make this easier for witnesses by projecting only pictures that match the descriptions closely. This saves a lot of time and effort and also leads to more positive identifications.

The correct answer is 'care'.

Key Points

• The most appropriate antonym of the given word 'Neglect' is 'Care'.
• Neglect: to give too little or no attention or care to somebody/something किसी व्‍यक्ति या वस्‍तु की उपेक्षा करना (बहुत कम ध्यान देना, बिलकुल ध्यान न देना या ख़याल न रखना)
• Example: Don’t neglect your health.
• Care: looking after somebody/something so that he/she/it has what he/she/it needs for his/her/its health and protection किसी की देखभाल या देखरेख
• Example: All the children in their care were healthy and happy.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Answer: care.

Additional Information

• Let's look at the meaning of other words:
• omit: to not include something; to leave something out किसी वस्‍तु को शामिल न करना; किसी वस्‍तु को छोड़ देना
• trust: the belief that somebody is good, honest, sincere, etc. and will not try to harm or trick you किसी पर विश्‍वास, भरोसा (उसके भला, ईमानदार आदि होने का निश्‍चय)
• fail: to not be successful in something असफल होना

The correct answer is 'Trecherous'.

Key Points

• Among the given Options the incorrectly spelt word is 'Trecherous'.
• Its correct spelling is 'Treacherous'.
• It means '(used about a person) that you cannot trust and who may do something to harm you (व्यक्ति) विश्‍वासघाती और हानि पहुँचा सकने वाला; धोखेबाज़'.
• Example: He was weak, cowardly, and treacherous.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct Answer: Trecherous.

Additional Information

• Let's look at the meaning of other words:
• pompous: showing that you think you are more important than other people, for example by using long words that sound impressive स्‍वयं को दूसरों से अधिक महत्वपूर्ण समझते हुए और भाषा व्‍यवहार में इसका प्रदर्शन करते हुए; तड़क-भड़क वाला, आडंबरपूर्ण
• vicious: cruel; done in order to hurt somebody/something निर्मम; कटु, द्वेषपूर्ण (व्‍यक्ति या वस्‍तु को चोट पहुँचाने के लिए किया गया)
• lustrous: shining and softचमकीला एवं मुलायम

The correct answer is 'to settle their differences'.

Key Points

• The most appropriate meaning of the given idiom 'to make up' is 'to settle their differences'.
• To make up: to forgive someone and be friendly with them again after an argument or disagreement (किसी को क्षमा करना और तर्क या असहमति के बाद फिर से उसके साथ मित्रवत व्यवहार करना)
• Example: They kissed and made up, as usual.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 3.

Correct Answer: to settle their differences.

The correct answer is 'skilled'.

Key Points

• The most appropriate synonym of the given word 'Adept' is 'Skilled'.
• Adept: very good or skilful at something कुशल, अति दक्ष, निपुण
• Example: Melissa quickly became adept at predicting his moods.
• Skilled: (used about a person) having skill; skilful (व्‍यकि्त) निपुणता रखने वाला; निपुण, कुशल, दक्ष
• Example: She is skilled at spinning and weaving.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Answer: skilled.

Additional Information

• Let's look at the meaning of other words:
• Clumsy: (used about a person) careless and likely to knock into, drop or break things (व्‍यक्ति) लापरवाह और बेढंगे तरीक़े से काम करने वाला; फूहड़, भद्दा
• Lazy: (used about a person) not wanting to work (व्‍यक्ति) जो काम न करना चाहे; आलसी, कामचोर
• Rough: not smooth, soft or level खुरदरा (चिकना, कोमल या समतल नहीं)

The correct answer is 'some money'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'some money' should be used instead of 'any money'.
• We use 'some' for affirmative sentences, and 'any' for questions or negative sentences.
• We know that both 'some' and 'any' can only be used with countable plural nouns or uncountable nouns.
• Example: She has some beautiful antique furniture.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 3.

Correct Sentence: I want to buy this book. Please give me some money.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहां 'any money' के बजाय 'some money' का इस्तेमाल किया जाना चाहिए।
• हम affirmative sentences के लिए 'some' और प्रश्नों या नकारात्मक वाक्यों के लिए 'any' का उपयोग करते हैं।
• हम जानते हैं कि 'some' और 'any' दोनों का उपयोग केवल countable plural nouns या uncountable nouns के साथ किया जा सकता है।
• ​Example: She has some beautiful antique furniture.
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 3 है।

The correct answer is 'The watchman said that he had not seen anyone the previous night.'

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:
• The conjunction 'that' will be added and comma and inverted commas will be removed.
• The first person pronoun 'I' will be changed into 'he' as per the subject of the reporting verb.
• 'did not see' will be changed into 'had not seen' because 'simple past tense' is changed into 'past perfect tense'.
• The adverb 'last night' will be changed into 'the previous night'.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Sentence: The watchman said that he had not seen anyone the previous night.

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:
• Conjunction 'that' जोड़ा जाएगा और comma और inverted commas हटा दिए जाएंगे।
• Reporting verb के विषय के अनुसार प्रथम व्यक्ति सर्वनाम 'I' को 'he' में बदल दिया जाएगा।
• 'did not see' को 'had not seen' में बदल दिया जाएगा क्योंकि 'simple past tense' को 'past perfect tense' में बदल दिया गया है।
• Adverb 'last night' को 'the previous night' में बदल दिया जाएगा।
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 4 है।

The correct answer is 'DBAC'.

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 D will be the first sentence because it is an introductory sentence.
• Sentence B will be the next sentence because it further explains Sentence D.
• Sentence A will be the next sentence because it explains how they looked.
• Lastly, Sentence C will be used.
• Thus, the correct sequence is:
• D: The two men who boarded the train from Denver were an odd pair.
• B: One man had a handsome presence with a bold and frank look.
• A: The other was a ruffled, glum-faced man, heavily built and roughly dressed.
• C: The two men who boarded the train from Denver were an odd pair. 

Correct Sequence: The two men who boarded the train from Denver were an odd pair.  One man had a handsome presence with a bold and frank look. The other was a ruffled, glum-faced man, heavily built and roughly dressed. The two men who boarded the train from Denver were an odd pair.

The correct answer is 'important'.

Key Points

• The most appropriate word for the given blank is 'important'.
• Important: having great value or influence; very necessary महत्वपूर्ण; अत्‍यावश्‍यक
• Example: Diet and exercise are important for health.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Sentence: "So, it is important, particularly for a teacher..."

Additional Information

• Let's look at the meaning of other words:
• urgent: needing immediate attention जिस पर तुरंत ध्यान देना अपेक्षित है, तुरंत कार्रवाई की अपेक्षा वाला; अत्‍यावश्‍यक, बहुत ज़रूरी
• unnecessary: more than is needed or acceptable ग़ैर-ज़रूरी, अनावश्‍यक या अनपेक्षित, व्‍यर्थ का
• immaterial: not important महत्चहीन

The correct answer is 'before'.

Key Points

• The most appropriate meaning of the given word is 'before'.
• It means 'earlier than somebody/something; earlier than the time that किसी व्‍यक्ति या वस्‍तु से पहले; किसी समय-बिंदु से पहले'.
• Example: You can call me any time before 10 o’clock.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct Sentence: "to realise that the students have sometimes listened to three or four teachers before you..."

The correct answer is 'come'.

Key Points

• The most appropriate word for the given blank is 'come'.
• Come alive is a phrasal verb that means 'to become exciting, interesting or appealing (रोमांचक या आकर्षक बनने के लिए)'.
• Example: In her kitchen, Italian food comes alive.
• ​Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Sentence: "handouts and slides that will make the learning material come alive for the students and stay that way with them..."

The correct answer is 'realise'.

Key Points

• The most appropriate word for the given blank is 'realise'.
• It means 'to become conscious of something or that something has happened, usually sometime later किसी बात या कुछ घटित होने का एहसास होना (प्रायः देर से)'.
• Example: When I got home, I realized that I had left my keys at the office.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

 

Correct Sentence: "Another important thing to realise is that long..."

Additional Information

• Let's look at the meaing of other words:
• guess: to try to give an answer or make a judgment about something without being sure of all the facts (किसी बात का) अनुमान करना
• decide: to think about two or more possibilities and choose one of them दो या अधिक विकल्‍पों पर विचार कर एक का चयन करना
• determine: to discover the facts about something किसी प्रसंग के तथ्‍यों का पता लगाना

The correct answer is 'advisable'.

Key Points

• The most appropriate word for the given blank is 'advisable'.
• It means 'that is a good thing to do; sensible उचित, उपयुक्त; विवेकी'.
• Example: It is advisable to reserve a seat.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct Sentence:  "It is, therefore, advisable to use short sentences that make sense to them instantly..."

Additional Information

• Let's look at the meaning of other words:
• critical: saying what is wrong with somebody/something दोषदर्शी, आलोचनात्‍मक
• compulsory: that must be done, by law, rules, etc. (क़ानून-नियम आदि से) अनिवार्य; बाध्यकर
• mandatory: that you must do, have, obey, etc. क़ानूनन आवश्‍यक, अनिवार्य

The Logic here is as follows:

(1^st Number – 2^nd number)² = 3^rd Number

In (25, 19, 36)

(1^st Number – 2^nd number)²

(25 - 19)²

= 6²

= 36 = 3^rd Number

Now check the all options,

Option (1) (27, 11, 38)

(1^st Number – 2^nd number)²

(27 - 11)²

= 16²

= 256 ≠ 3^rd Number

Option (2) (24, 22, 49)

(1^st Number – 2^nd number)²

(24 - 22)²

= 2²

= 4 ≠ 3^rd Number

Option (3) (22, 17, 25)

(1^st Number – 2^nd number)²

(22 - 17)²

= 5²

**= 25 = **3^rd Number

Option (4) (20, 14, 66)

(1^st Number – 2^nd number)²

(20 - 14)²

= 6²

= 36 ≠ 3^rd Number

Hence, the correct answer is "(22, 17, 25)".

The shaded part represents is the number of Farmers are there who are Villagers and Beneficiaries .

The number of Farmers are there who are Villagers and Beneficiaries  = 5

Hence, ‘5’ is the correct answer.

The image obtained when the paper is unfolded is,

Hence, option 3 is the correct answer.

According to the sequence in the dictionary:

The correct order of the given words is:

4. Precaution
5. Predator
6. Preserve
7. Primary
8. Pristine

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

The pattern followed here is:

Hence, '77' is the correct answer.

The embedded part of this image is:

Hence, option (4) is the correct answer.

According to BODMAS rule:

Given equation 100 * 25 * 35 * 15 * 5 * 180

Option 1: Using the combination –, +, ÷, ×, =

100 – 25 + 35 ÷ 15 × 5 = 180 

By BODMAS rule

100 – 25 + 2.34 × 5 = 180

100 – 25 + 11.7 = 180

111.7 – 25 = 180

86.7 = 180 (LHS ≠ RHS)

Option 2: Using combination +, –, ÷, ×, =

100 + 25 – 35 ÷ 15 × 5 = 180

100 + 25 – 2.34 × 5 = 180

100 + 25 – 11.7 = 180

125 – 11.7 = 180

113.3 = 180 (LHS ≠ RHS)

Option 3: Using the combination –, +, ×, ÷, =

100 – 25 + 35 × 15 ÷ 5 = 180

100 – 25 + 35 × 3 = 180

100 – 25 + 105 = 180

205 – 25 = 180

**180 = 180 **(LHS = RHS)

Option 4: Using the combination ×, –, +, ÷, =

 100 × 25 – 35 + 15 ÷5 =180

100 × 25 – 35 + 3 =180

2500 – 35 + 3 =180

2503 – 35 =180

2468 = 180 (LHS ≠ RHS)

Hence, the answer is “–, +, ×, ÷, =”.

The logic followed here is:

Courage : Bravery → Courage is the synonyms word of Bravery.

Similarly,

Systematic : Orderly→ Systematic is the synonyms word of Orderly.

Hence, ‘Systematic : Orderly’ is the correct answer.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except ‘FRY : HTB’.

Hence, “FRY : HTB” is the odd one.

The logic followed here is:

Option (1) Gastroenterologist → A gastroenterology is a specialist doctor of diseases of the stomach and liver and the diseases that affect the digestive system.

Option (2) Psychiatrist → A psychiatrist is a general medical doctor who diagnoses and treats mental, emotional, and behavioural disorders.

Option (3) Cardiologist → A cardiologist is a specialist doctor of diseases of the heart.

Option (4) Ophthalmologist → An ophthalmologist is a specialist doctor of diseases of the eye and vision care.

Hence, “Psychiatrist” is an odd one.

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

If we rotate the second dice in a clockwise direction.

We get,

In first dice and second dice.

Number '1' is common.

The left letter will be opposite to each other writing them clockwise starting from 1.

 

Hence, the face opposite to the 4 is “1”.

The pattern followed here is,

Let (1^st number : 2^nd number)

(1^st number)² × 2 = 2^nd number

Now follow the steps:

11 : 242

(1^st number)² × 2

= 11² × 2

= 121 × 2

= 242 = 2^nd number

And,

14 : 392

(1^st number)² × 2

= 14² × 2

= 196 × 2

= 392 = 2^nd number

Similarly,

? : 162

(1^st number)² × 2

= 9² × 2

= 81 × 2

= 162 = 2^nd number

Hence, “9” is correct answer.

The Logic here is as follows:

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

In (21, 13, 17)

(1^st Number + 2^nd number) ÷ 2

= (21 + 13) ÷ 2

= 34 ÷ 2

= 17 = 3^rd Number

Now check the all options,

Option (1) (22, 57, 81)

(1^st Number + 2^nd number) ÷ 2

= (22 + 57) ÷ 2

= 79 ÷ 2

= 39.5 ≠ 3^rd Number

Option (2) (11, 21, 140)

(1^st Number + 2^nd number) ÷ 2

= (11 + 21) ÷ 2

= 32 ÷ 2

= 16 ≠ 3^rd Number

Option (3) (25, 35, 38)

(1^st Number + 2^nd number) ÷ 2

= (25 + 35) ÷ 2

= 60 ÷ 2

= 30 ≠ 3^rd Number

Option (4) (32, 46, 39)

(1^st Number + 2^nd number) ÷ 2

= (32 + 46) ÷ 2

= 78 ÷ 2

= 39 = 3^rd Number

Hence, the correct answer is "(32, 46, 39)".

The logic followed here is:

Kick : Football → Kick is an ancient style of football.

Similarly, 

Backstroke : swimming → Backstroke is an ancient style of swimming.

Hence, the correct answer is "Swimming ".

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

Alternate first second and third small figure vertically flip.

Hence, ‘option 4’ is the correct answer.

The table is alphabets place value:

The pattern followed here is:

Step 1: Consonants coded as its alphabet place value numerical.

Step 2: Vowel’s coded as opposite alphabet place value numerical.

LOCK is written as 1212311

And,

KEY is written as 112225

Similarly,

Hence, 'DEAR' is coded as "4222618".

The logic is here is:

(1^st number)³ + 5 = 2^nd number.

Option (1): 5 : 130

Now, follow the logic:

(5)³ + 5 = 125 + 5 = 130 = 2^nd number

This option follows the pattern.

Option (2): 8 : 516

Now, follow the logic:

(8)³ + 5 = 512 + 5 = 517 ≠ 2^nd number

This option do not follow the pattern.

Option (3): 9 : 734

Now, follow the logic:

(9)³ + 5 = 729 + 5 = 734 = 2^nd number

This option follows the pattern.

Option (4): 7 : 348

Now, follow the logic:

(7)³ + 5 = 343 + 5 = 348 = 2^nd number

This option follows the pattern.

Hence, pair “8 : 516” is an odd one.

Given :- H _ Z _ H O Z C H O _ D _ O _ E H _ Z F

By checking options and substituting accordingly.

1): O B H O Z O → H O Z B / H O Z C / H O H D / O O Z E / H O Z F

2): H B Z H H O → H H Z B / H O Z C / H O Z D / H O H E / H O Z F

3): O C Z H Z H → H O Z C / H O Z C / H O Z D / H O Z E / H H Z F

4): O B Z H Z O → H O Z B / H O Z C / H O Z D / H O Z E / H O Z F

• Here last letter of the word is increasing by +1.

              ♦   B + 1 = C, C + 1 = D, D + 1 = E, E + 1 = F.

• Option (4) gives a pattern of H O Z B - H O Z C - H O Z D - H O Z E - H O Z F.

Hence**, ‘O B Z H Z O’** is the correct answer.

The table is alphabets place value:

The pattern followed here is:

**If alphabet place value more than 10 then is coded as second next alphabet.**​

• Place value more than 10 + 2 = letter

If alphabet place value less than 10 then is coded as next alphabet.

• Place value less than 10 + 1 = letter

'MODERATE' is written as 'OQEFTBVF'

And,

 'LIFE' is written as 'NJGF'

Similarly,

Hence, 'CLEAR' is coded as "DNFBT".

Preparing the family tree using the following symbols,

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

1. Surendar is the son of Revant.

2. Pranavi is the wife of Revant.

3. Yugal is the brother of Revant.

4. Kundana is the daughter of Pranavi.

5. Janardan is the brother of Pranavi.

Hence, Pranavi have "2" children.

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

Hence, "option (1)" is the correct answer.

Additional Information  

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

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

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

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

The logic here is,

TANGLE : XERKPI​

 

Similarly,

FIGHTS : ?

Hence, "JMKLXW" is correct answer.

The number of triangles in the given figure is:

So, there are a total of 10 triangles in the figure.

Hence, ‘10’ is the correct answer.

Statements:

Some drivers are artists.

All fathers are artists.

No father is a doctor.

The least possible diagram for the given statements is as follows

Conclusions:

I. No doctor is an artist → False (It is possible but not definite)

II. No driver is a doctor → False (It is possible but not definite)

III. Some artists are fathers → True (because all fathers are artists so some artists are also fathers)

Hence, “Only conclusions III follows”.

Additional Information

Given:

Total number of actors = 72

11 actors participate in quiz only.

15 participate in solo acting only.

14 participate in simulation only.

5 artists participate in all the three activities.

We know that,

Total number of actors = participate only in quiz, solo acting, and simulation + participate in all the three activities + participating in any two activities

=> 72 = (11 + 15 + 14) + 5 + (a + b + c)

=> 72 = 40 + 5 + (a + b + c)

=> (a + b + c) = 72 - 40 – 5

 => (a + b + c) = 72 - 45

=> (a + b + c) = 27

Hence, “27” number of artists participating in any two activities.

Calculation:

Total number of gradute and post graduate level students in institute Q is:

Total number of graudate level students in Q = 12400 × 29/100 = 3596

Total number of psot graudate level students in Q = 8000 × 19/100 = 1520

Total = 3596 + 1520 = 5116

∴ Required answer is 5116

Shortcut Trick

For divisibility by 6, the number must be divisible by both 2 and 3.

Divisibility by 2: Last digit m must be even (0, 2, 4, 6, 8).

Divisibility by 3: Sum of digits (8+7+m+6+2+0+3+m = 26 + 2m) must be divisible by 3.

Check even values of m: If m=2, sum=30 (Yes); If m=8, sum=42 (Yes).

Sum of possible values of m = 2 + 8 = 10.

∴ The correct answer is 10.

Alternate Method

Given: Number = 87m6203m, Divisor = 6.

Formula Used: Divisibility rules for 2 and 3.

⇒ For divisibility by 2, m ∈ {0, 2, 4, 6, 8}.

⇒ For divisibility by 3, (8 + 7 + m + 6 + 2 + 0 + 3 + m) ÷ 3 must leave remainder 0.

⇒ (26 + 2m) ÷ 3 → (2 + 2m) ÷ 3 must be divisible by 3.

⇒ If m = 0, 2 + 0 = 2 (No)

⇒ If m = 2, 2 + 4 = 6 (Yes)

⇒ If m = 4, 2 + 8 = 10 (No)

⇒ If m = 6, 2 + 12 = 14 (No)

⇒ If m = 8, 2 + 16 = 18 (Yes)

⇒ Possible values of m are 2 and 8.

⇒ Sum of values = 2 + 8 = 10.

∴ The correct answer is 10.

Additional Information

Divisibility by 3

A number is divisible by 3 if the sum of its digits is divisible by 3.

Divisibility by 6

A number is divisible by 6 if it satisfies the divisibility rules of both 2 (even number) and 3 (sum of digits) simultaneously.

Divisibility by 4

A number is divisible by 4 if the last two digits of the number are divisible by 4.

Shortcut Trick

Substitute A = 30° directly into the given expression.

Numerator = −3×sin²60° + 2×sec²30° − tan45° = −3×(3/4) + 2×(4/3) − 1 = −7/12.

Denominator = (1/3)×sin90° = 1/3.

Result = (−7/12) ÷ (1/3) = −7/4.

∴ The correct answer is −7/4.

Alternate Method

Given:

A = 30°

Expression: [−3sin²2A + 2sec²A − tan(3A/2)] / [(1/3)sin3A]

Calculation:

⇒ Substitute A = 30° into the individual terms:

⇒ sin(2A) = sin(2 × 30°) = sin(60°) = √3/2

⇒ sec(A) = sec(30°) = 2/√3

⇒ tan(3A/2) = tan(3 × 30° / 2) = tan(45°) = 1

⇒ sin(3A) = sin(3 × 30°) = sin(90°) = 1

⇒ Now substitute these values back into the expression:

⇒ Numerator = −3×(√3/2)² + 2×(2/√3)² − 1

⇒ Numerator = −3×(3/4) + 2×(4/3) − 1

⇒ Numerator = −9/4 + 8/3 − 1

⇒ LCM of 4 and 3 is 12.

⇒ Numerator = (−27 + 32 − 12) / 12 = −7/12

⇒ Denominator = (1/3) × 1 = 1/3

⇒ Final Value = (−7/12) / (1/3)

⇒ Final Value = (−7/12) × 3 = −7/4

∴ The correct answer is −7/4.

Additional Information

Standard Trigonometric Values

For standard angles: sin(30°) = 1/2, sin(60°) = √3/2, sin(90°) = 1. The tangent of 45° is always 1.

Reciprocal Identities

sec(θ) = 1/cos(θ), cosec(θ) = 1/sin(θ), and cot(θ) = 1/tan(θ). Since cos(30°) = √3/2, sec(30°) = 2/√3.

Basic Trigonometric Identities

sin²(θ) + cos²(θ) = 1, 1 + tan²(θ) = sec²(θ), and 1 + cot²(θ) = cosec²(θ).

Given:

BD and CD bisect ∠B and ∠C

∠A = 100°

Concept used:

The Sum of all angles of a triangle is 180°

Calculation: 

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠B + ∠C = 180° - 100 °

⇒  80°

⇒ ∠D + ∠B/2 + ∠C/2 = 180°

⇒ ∠D + 80/2 = 180°

⇒ ∠D = 180° - 40°

⇒  140°

∴ ∠BDC is 140°.

Given:

a : b = 3 : 5

b : c = 7 : 8

c : d = 2 : 3

Calculation:

a : b = 3 : 5

b : c = 7 : 8

c : d = 2 : 3

a : b : c : d = 21 : 35 : 40 : 60

So, 2a : 3d = 2 × 21 : 3 × 60

⇒ 7 : 30

∴ Required answer is 7 : 30

Given:

The In-radius and circumradius of a right-angle triangle is 3 cm and 12.5 cm.

Concept used:

Inradius of right-angle triangle = (P + B - H)/2

Circumradius of a right angle triangle = H/2

Area of a right angle triangle = (1/2 × P × B)

Where,

P = Perpendicular

B = Base

H = Hypotenuse

Calculation:

According to the question

Inradius of right-angle triangle = (P + B – H)/2

⇒ (P + B – H)/2 = 3

⇒ P + B – H = 6 ....(1)

Circumradius of a right angle triangle = H/2

⇒ H/2 = 12.5

⇒ H = 25

Putting the value of H in equation (1)

⇒ P + B – 25 = 6

⇒ P + B = 31

Now,

⇒ (P² + B²) = (25)²

⇒ P² + B² = 625

P + B = 31

⇒ (P + B)² = (31)²

⇒ P² + B² + 2PB = 961

⇒ 2PB = 961 – 625

⇒ PB = 168

So, area of triangle = 1/2 × PB

⇒ (1/2 × 168) = 84 cm² 

∴ The area of the triangle is 84 cm2

Average number of students appeared from all the colleges = 1/5(2800 + 1800 + 3000 + 2000 + 2400)

⇒ 2400

Average number of students qualified from all the colleges = 1/5(1400 + 1000 + 1800 + 1600 + 1600)

⇒ 1480

Difference = 2400 - 1480

⇒ 920

∴ Required difference is 920

Concept used:

Of n₁ and n₂ are the number of elements in 2 groups and m₁ and m₂ are their frequencies.

Average = (n₁m1 + n₂m₂)/(n1 + n2)

Calculation:

According to the question,

2.85 = [2(2 + 5k) + 3(5k - 7) + 4(2k - 3) + 5(k + 2)]/(2 + 5k + 5k – 7 + 2k – 3 + k + 2)

On cross  multiplication,

⇒ 4 + 10k + 15k – 21 + 8k – 12 + 5k + 10 = 37.05k – 17.1

⇒ 38k – 19 = 37.05k – 17.1

⇒ 0.95k = 1.9

⇒ k = 2

Now,

Total number of two = 2 + 5 × 2 = 12

Previously total of all 2’s = 12 × 2 = 24

Now total = 12 × 6 = 72

Difference = 72 – 24 = 48

So, new average = 2.85 + 48/(13 × 2 – 6) = 2.85 + 2.4

⇒ 5.25

∴ The average of new numbers is 5.25

Calculation:

According to the question,

P = Q × 6/5

P : Q = 6 : 5

P = R × 9/10

P : R = 9 : 10

P must be same in each case

So, P : Q : R = 18 : 15 : 20

Q = (15/20) × 100 = 75% of R

∴ Required answer is 75%

Alternate MethodHow to calculate the ratio of three numbers if the relations are only given between two:

Step 1:

Q       P       R

5   :   6

         9    :   10

Step 2: 

Q       P       R

5   :   6        6

9       9    :  10

---

45  :  54   :  60

---

15  :  18   :  20

---

∴ 15/20 ×100 = 75%

Given:

$\cos θ=\frac{7}{3\sqrt6}$

Concept used:

Cos²θ = 1 – Sin²θ

Calculation:

$27\sin^2 \theta-\frac{3}{2}$

⇒ 27(1 – Cos²θ) – 3/2

⇒ 27 – 27Cos²θ – 3/2

⇒ 27 – 27 × 49/54 – 3/2

⇒ 27 – 49/2 – 3/2

⇒ (54 – 49 – 3)/2

⇒ 2/2 = 1

∴ Required answer is 1

Given:

sec²θ + (1 - √3)tanθ – (1 + √3) = 0

Concept used:

sec2θ = tan²θ + 1

Calculation: 

sec²θ + (1 - √3)tanθ – (1 + √3) = 0

⇒ 1 + tan²θ + tanθ - √3tanθ – 1 - √3 = 0

⇒ tan²θ + tanθ - √3tanθ - √3 = 0

⇒ tanθ(tanθ + 1) - √3(tanθ + 1) = 0

⇒ (tanθ + 1)(tanθ - √3) = 0

⇒ tanθ = -1 or √3

tanθ = tan60°

So, θ = 60°

∴ The value of θ is 60°

Given:

The Radii of 1^st circle is 4 cm

The Radii of the second circle is 3 cm

Calculation:

⇒ O₁C = 4 cm

⇒ O₂C = 3 cm

⇒ O₁O₂ = 4 + 3

⇒ 7 cm

∴ The required answer is 7 cm.

Total production on Friday and Saturday = 300 + 450 = 750

Average production = 375

Total production of the week = 240 + 510 + 390 + 150 + 300 + 450

Average production of the week = 2040/6 = 340

Exceed value = 375 – 340 = 35

∴ Required answer is 35

Number of students enrolled in Humanities in school A = 70

Number of students enrolled in Humanities in school C = 40

Number of students enrolled in Humanities in school D = 45

Total students in Humanity in three schools = 155

Number of students enrolled in Vocational in school C = 35

Number of students enrolled in Vocational in school D = 40

Number of students enrolled in Vocational in school E = 50

Total students in Vocational in three schools = 125

% = (155/125) × 100 = 124%

∴ Required answer is 124%

Given:

a + b = 24

a² + b² = 306

Concept used:

(a - b)² = a² + b² - 2ab

(a + b)² = a² + b² + 2ab

Calculation:

a + b = 24

⇒ (a + b)² = 576

⇒ a² + b² + 2ab = 576

⇒ 306 + 2ab = 576

⇒ 2ab = 270

Now,

(a - b)² = a² + b² - 2ab

⇒ (a - b)² = 306 – 270

⇒ (a - b)² = 36

⇒ (a - b) = 6

So, a and b is 15 and 9

4a – 5b = 4 × 15 – 5 × 9

⇒ 60 – 45

⇒ 15

∴ Required answer is 15

Given:

Speed of Atul = 8 km/h

Shekhar completes 10 rounds in 40 minutes

Concept used:

Distance = Speed × time

Using unitary method to solve question

Calculation:

In 45 minutes Atul cover 8 × 45/60 = 6 km

So, 15 rounds = 6 km

So, 10 rounds = 4 km

So, Shekhar covers 4 km in 40 minutes

So, his speed is 6 km/h

∴ The speed of Shekhar is 6 km/h

Shortcut Trick

To find the coefficient of y² in the expansion of (√2y² − 5√3)³, use the term 3ab² from the algebraic identity (a − b)³.

Here, a = √2y² and b = 5√3.

Required term = 3 × (√2y²) × (5√3)² ⇒ 3 × √2y² × 75 = 225√2 y².

∴ The correct answer is 225√2.

Alternate Method

Given: The expression is (√2y² − 5√3)³.

Formula Used: (a − b)³ = a³ − 3a²b + 3ab² − b³

Calculations:

⇒ Let a = √2y² and b = 5√3.

⇒ Expansion = (√2y²)³ − 3(√2y²)²(5√3) + 3(√2y²)(5√3)² − (5√3)³

⇒ Term 1 = (√2)³(y²)³ = 2√2 y⁶

⇒ Term 2 = −3(2y⁴)(5√3) = −30√3 y⁴

⇒ Term 3 = 3(√2y²)(25 × 3) = 3 × 75 × √2 y² = 225√2 y²

⇒ Term 4 = −(125 × 3√3) = −375√3

⇒ The full expansion is: 2√2 y⁶ − 30√3 y⁴ + 225√2 y² − 375√3.

⇒ The coefficient of the y² term is 225√2.

∴ The correct answer is 225√2.

Additional Information

Binomial Theorem for Positive Integer

The general term in the expansion of (x + y)ⁿ is T_r+1 = ⁿC_r x^n−r y^r.

Algebraic Cubing Identities

(a + b)³ = a³ + 3a²b + 3ab² + b³ and (a − b)³ = a³ − 3a²b + 3ab² − b³.

Power Rules

For any variables or constants, (x^a)^b = x^{a × b} and (xy)^a = x^ay^a.

Given:

Edge of cube = 77 cm

Diameter of each bullet = 7 cm

Concept used:

Volume of a sphere = (4π/3) × r³

Calculation:

Radius of the spherical bullets = 7/2 = 3.5 cm

Let x numbers of bullets can be made

Now, volume of a spherical bullet = 4/3 × 22/7 × (7/2)³

According to the question,

4/3 × 22/7 × (7/2)³ × x = (77)³

⇒ x = (77 × 77 × 77 × 3 × 7 × 8)/(4 × 22 × 7 × 7 × 7)

⇒ x = 2541

∴ Total 2541 bullets can be made

Given:

List price = Rs. 5000

Concept used:

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

Calculation:

SP on first case = 5000 × 22/25 × 22/25

⇒ 8 × 484

⇒ 3872

SP on second case = 5000 × 76/100

⇒ 3800

Profit = 3872 – 3800 = 72

Loss = Rs. 72

∴ The seller will lose Rs. 72

Shortcut Trick

Equal parallel chords are on opposite sides of the center and equidistant from it.

Distance from center to each chord = 10 ÷ 2 = 5 cm.

Half the length of the chord = 24 ÷ 2 = 12 cm.

Radius r = √(12² + 5²) = √(144 + 25) = √169 = 13 cm.

∴ The correct answer is 13 cm.

Alternate Method

Given:

Length of equal parallel chords AB and CD = 24 cm

Distance between chords (MN) = 10 cm

Formula Used:

A perpendicular drawn from the center to a chord bisects the chord.

Pythagoras Theorem: Hypotenuse² = Perpendicular² + Base²

O A B C D M N r 5 cm 12 cm

Calculations:

⇒ Let O be the center of the circle.

⇒ Since the parallel chords are of equal length, they are located on opposite sides and are equidistant from the center.

⇒ Distance from center to chord OM = Total Distance MN ÷ 2 = 10 ÷ 2 = 5 cm.

⇒ The perpendicular OM bisects the chord AB, so AM = AB ÷ 2 = 24 ÷ 2 = 12 cm.

⇒ In right-angled ΔOMA, applying Pythagoras theorem:

⇒ OA² = OM² + AM²

⇒ r² = 5² + 12²

⇒ r² = 25 + 144 = 169

⇒ r = √169 = 13 cm

∴ The correct answer is 13 cm.

Additional Information

Equal Parallel Chords

If two parallel chords of a circle are equal in length, they must be situated at equal distances from the center and lie on opposite sides of the center.

Perpendicular from Center Rule

A perpendicular drawn from the center of a circle to any chord bisects the chord into two equal halves.

Pythagorean Triplets

Standard Pythagorean triplets like (3, 4, 5), (5, 12, 13), and (8, 15, 17) frequently appear in circle geometry to easily relate the radius, chord length, and distance from the center without full calculation.

Shortcut Trick

Efficiency ratio of Sachin : (Sachin + Vishnu) = 1 ÷ (17/2) : 1 ÷ 6 = 2/17 : 1/6 = 12 : 17.

Vishnu share of efficiency = 17 parts − 12 parts = 5 parts.

Total 17 units corresponds to the total wage of ₹8,500.

1 unit = ₹8,500 ÷ 17 = ₹500.

Vishnu share = 5 units × ₹500 = ₹2,500.

∴ The correct answer is ₹2,500.

Alternate Method

Given:

Time taken by Sachin alone = 17/2 days.

Time taken by (Sachin + Vishnu) together = 6 days.

Total contract amount for the work = ₹8,500.

Formula Used:

Wages are distributed in the ratio of Efficiency when the workers work for the same duration. Efficiency = 1 ÷ Time taken.

Calculations:

⇒ Sachin's 1-day work = 1 ÷ (17/2) = 2/17 units.

⇒ (Sachin + Vishnu)'s 1-day work = 1/6 units.

⇒ Vishnu's 1-day work = (1/6) − (2/17) = (17 − 12) / (6 × 17) = 5/102 units.

⇒ Ratio of Efficiency (Sachin : Vishnu) = (2/17) : (5/102).

⇒ Multiply by 102 to simplify: (2/17 × 102) : (5/102 × 102) = 12 : 5.

⇒ Vishnu's share = (5 / (12 + 5)) × 8500 = (5/17) × 8500.

⇒ Vishnu's share = 5 × 500 = ₹2,500.

∴ The correct answer is ₹2,500.

Additional Information

Work and Wages Relationship

Wages are directly proportional to the amount of work done. If people work for the same time, the ratio of their wages is equal to the ratio of their efficiencies.

Efficiency and Time

The Efficiency of a person is inversely proportional to the Time taken to complete the work (E = W/T). If total work W is constant, E₁/E₂ = T₂/T₁.

Combined Efficiency

The combined efficiency of two or more persons is the sum of their individual efficiencies (E_total = E₁ + E₂ + ...).

Given:

 x - y = 4

x³ – y³ = 316

Formula Used:

x³ – y³ = (x - y)[(x - y)² + 3xy]

Calculation:

x³ – y³ = (x - y)[(x - y)² + 3xy]

⇒ 316 = 4[(x - y)² + 3xy]

⇒ 79 = [16 + 3xy]

⇒ 63 = 3xy

⇒ xy = 21

So, x = 7

y = 3

x⁴ + y⁴ = 7⁴ + 3⁴ = 2482

∴ Required answer is 2482

Given:

18\frac{2}{11}\div\left[\frac{7}{33}+\left{\frac{29}{6}-\frac{3}{11}\times\left(5\frac{1}{6}-3\frac{1}{3}\right)\right}\right]

Concept used:

Calculation:

18\frac{2}{11}\div\left[\frac{7}{33}+\left{\frac{29}{6}-\frac{3}{11}\times\left(5\frac{1}{6}-3\frac{1}{3}\right)\right}\right]

⇒ 200/11 ÷ [7/33 + {29/6 – 3/11 × (31/6 – 10/3)}]

⇒ 200/11 ÷ [7/33 + {29/6 – 3/11 × 11/6}]

⇒ 200/11 ÷ [7/33 + {29/6 – 1/2}]

⇒ 200/11 ÷ [7/33 + 13/3]

⇒ 200/11 ÷ 150/33

⇒ 200/11 × 33/150

⇒ 4

∴ Required answer is 4

Shortcut Trick

Effective SI for 2 years at 11% = 22% and Effective CI for 2 years at 10% = 21%.

Overall interest % = (5370 ÷ 25000) × 100 = 21.48%.

By Alligation, Ratio of parts = (21.48 − 21) : (22 − 21.48) = 0.48 : 0.52 = 12 : 13.

Total ratio parts = 12 + 13 = 25 parts → ₹25,000.

Sum invested on SI (12 parts) = 12 × 1000 = ₹12,000.

∴ The correct answer is ₹12,000.

Alternate Method

Given:

Total sum = ₹25,000

Rate for Part 1 (SI) = 11% p.a., Time = 2 years

Rate for Part 2 (CI) = 10% p.a., Time = 2 years

Total interest received = ₹5,370

Formula Used:

SI = (P × R × T) ÷ 100

CI Effective Rate = R + R + (R × R) ÷ 100

Calculation:

⇒ Let the sum invested on SI be ₹x.

⇒ The sum invested on CI will be ₹(25000 − x).

⇒ Interest from Part 1 (SI) = (x × 11 × 2) ÷ 100 = 0.22x

⇒ Effective rate for CI at 10% for 2 years = 10 + 10 + (10 × 10) ÷ 100 = 21%

⇒ Interest from Part 2 (CI) = 21% of (25000 − x) = 0.21 × (25000 − x)

⇒ Total Interest = 0.22x + 0.21 × (25000 − x) = 5370

⇒ 0.22x + 5250 − 0.21x = 5370

⇒ 0.01x = 5370 − 5250

⇒ 0.01x = 120

⇒ x = 120 ÷ 0.01 = 12000

∴ The correct answer is ₹12,000.

Additional Information

Effective Rate of Compound Interest

For 2 years, the effective CI rate can be directly calculated using the successive percentage formula: R_eff = R + R + (R × R) ÷ 100.

Difference between CI and SI

The difference between compound interest and simple interest for 2 years on the same principal is given by the formula: D = P(R ÷ 100)².

Rule of Alligation

When a quantity is divided into two parts at different rates, the ratio of the parts is inversely proportional to the differences of their respective rates from the mean aggregate rate.

Given:

The article was sold at a loss of 24%

Concept used:

SP = CP – CP × loss%

SP = CP + CP × profit%

Calculation:

Let CP of the article be 100x

According to the question,

76x + 1596 = 118x

⇒ 42x = 1596

⇒ x = 38

So, CP is 3800

∴ Cost price of the article was Rs. 3800

The correct answer is Karnataka.

Key Points

• Bhadra Wildlife Sanctuary 
• It is located in the Chikkamagaluru and Shimoga districts of Karnataka. Hence, Option 2 is correct.
• Animals such as tigers, elephants, Black Leopard, Malabar giant squirrels, etc are found in Bhadra Wildlife Sanctuary.
• Bhadra Wildlife Sanctuary was established in the year 1951.
• Previously known as Jagara Valley Wildlife Sanctuary, it was renamed Bhadra Wildlife Sanctuary in 1974.

Important Points

• As of August 2021, 566 wildlife sanctuaries were established in the country which is 3.72 % of the geographical area of the country.
• The oldest bird sanctuary is Vedanthangal Bird Sanctuary near Chennai in Tamil Nadu state. It was established in 1796.

The correct answer is Hockey.

Key Points

• Murugappa Gold Cup is associated with Hockey. Hence, Option 4 is correct.

The correct answer is It is a liquid at room temperature.

Key Points

• Bromine:
• It is a liquid at room temperature. Hence, Option 4 is correct.
• It is a naturally occurring element that is a liquid at room temperature.
• It has a brownish-red colour with a bleach-like odour, and it dissolves in water.
• Bromine is found naturally in the earth’s crust and in seawater in various chemical forms.
• Bromine can also be found as an alternative to chlorine in swimming pools.
• Products containing bromine are used in agriculture and sanitation and as fire retardants (chemicals that help prevent things from catching fire).
• Some bromine-containing compounds were historically used as sedatives (drugs that can make people calm or sleepy).

The correct answer is Iron.

Key Points

• Pulmonary siderosis:
• It is caused by repeated inhalation of fine iron or rust dust that happens usually over a number of years. Hence, Option 1 is correct.
• This can happen during work consisting of welding, grinding, foundry work, paint manufacture, or iron ore mining among other similar occupations where a person is exposed to fine iron dust or fumes.
• It causes changes within the lungs that are clearly visible in tissue samples, x-ray images, and other radiological studies.
• In a tissue sample from alveoli, patchy deposits of iron can be seen throughout the sample.
• There is no cure for pulmonary siderosis or other interstitial lung diseases. Any damage is thus permanent. Symptoms can be treated.

The correct answer is 5.

Key Points

• Qutab-ud-din Aibak, the first Muslim ruler of Delhi, commenced the construction of the Qutab Minar in 1200 AD, but could only finish the basement. His successor, Iltutmish, added three more storeys, and in 1368, Firoz Shah Tughlaq constructed the fifth and the last storey. Hence, Option 1 is correct.
• Qutab Minar is a soaring, 73 m-high tower of victory, built-in 1193 by Qutab-ud-din Aibak immediately after the defeat of Delhi's last Hindu kingdom.
• The first three storeys are made of red sandstone, the fourth and fifth storeys are of marble and sandstone. At the foot of the tower is the Quwwat-ul-Islam Mosque, the first mosque to be built in India.
• The minaret is named after Qutb-ud-din Aibak, or Qutbuddin Bakhtiar Kaki, a Sufi saint.
• The development of architectural styles from Aibak to Tughlak is quite evident in the minar.

Additional Information 

• Qutub Minar (or Qutab Minar) is a minaret and "victory tower" that forms part of the Qutb complex.
• It is a UNESCO World Heritage Site in the Mehrauli area of New Delhi, India.
• The height of Qutb Minar is 72.5 meters, making it the tallest minaret in the world built of bricks.
• The tower tapers, and has a 14.3 meters (47 feet) base diameter, reducing to 2.7 meters (9 feet) at the top of the peak.

Important Points

• Qutub-Ud-Din Aibak of the Slave Dynasty laid the foundation of Minar in A.D. 1199.
• Iltutmish and Firoz Shah Tughlaq, who were Qutub-Ud-din-Aibak's successors, completed the construction of the entire tower.

The correct answer is the 42^nd Amendment Act, 1976.

Key Points

• The ‘Preamble’ of the Constitution of India:
• It is a brief introductory statement that sets out the guiding purpose and principles of the document, and it indicates the source from which the document which derives its authority, meaning, the people.
• It was adopted on 26 November 1949 by the Constituent Assembly of India and came into effect on 26^th January 1950.
• After the 42^nd amendment, three new terms "Socialist, Secular, and Integrity" were added to the Preamble. Hence, Option 2 is correct.
• 42^nd Amendment Act, 1976 is one of the most important amendments to the Indian Constitution.
• It was enacted by the Indian National Congress headed by Indira Gandhi then.
• Due to the large number of amendments this act has brought to the Indian Constitution, it is also known as the ‘Mini-Constitution.’
• Only one time the Preamble was amended in 1976 till date.
• Thus, we can say that the words "Socialist and Secular" were added to the Preamble through the 42^nd Amendment Act, 1976.

The correct answer is Parasite.

Key Points

• Cuscuta: 
• ​It is a stem parasite. Hence, Option 2 is correct.
• It is also known as Amarbel in India.
• A parasitic plant is a plant that obtains all or part of its nutrition from another plant (the host) without contributing to the benefit of the host and, in some cases, causing extreme damage to the host.
• The defining structural feature of a parasitic plant is the haustorium, a specialized organ that penetrates the host and forms a vascular union between the plants.

Additional Information

• Saprophytes are living organisms that live and feed on dead and decaying organisms.
• An autotroph is an organism that can produce its own food using light, water, carbon dioxide, or other chemicals.
• Host plants are plants that an organism lives on and lives off of.

The Correct Answer is Khajuraho.

Key Points

• The Kandariya Mahadeva Temple:
• The Kandariya Mahadeva Temple "the Great God of the Cave" is the largest and most ornate Hindu temple in the medieval temple group found at Khajuraho in Madhya Pradesh. Hence, Option 2 is correct.
• Kandariya Mahadeo temple at Khajuraho is the epitome of temple architecture in Central India.
• The Kandariya Mahadeva temple was built during the reign of Vidyadhara (r. c. 1003-1035 CE).
• Khajuraho’s temples are also known for their extensive erotic sculptures.
• The Lakshmana temple of Khajuraho, dedicated to Vishnu, was built in 954 by the Chandela king, Dhana.
• It is a nagara temple placed on a high platform accessed by stairs.

The Correct Answer is "Suman Gawani".

Key Points

• Indian Army officer and woman peacekeeper Major Suman Gawani has been selected to be honored with the UN Military Gender Advocate of the Year Award. Hence, Option 2 is correct.
• First, an Indian Army officer and woman peacekeeper Major Suman Gawani has been selected to be honored with the United Nations Military Gender Advocate of the Year Award (2019) on May 29.
• Suman Gawani has served with the United Nations Mission in South Sudan (UNMISS) is being awarded for her outstanding contribution to peacekeeping efforts.
• The award which was created in 2016, honors the dedication and effort of individual military peacekeepers in promoting the UN principles on Women, Peace, and Security in peace operations as nominated by Heads and Force Commanders of peace operations.
• Indian Major Suman Gawani who hails from Pokhara village in Tehri Garwhal joined the Indian Army in 2011 where she graduated from the Officers Training Academy.
• Later, she joined the Army Signal Corps.

The correct answer is Paresh Rawal.

Key Points

• The National School of Drama is one of the magnificent theatre training institutions in the world.
• It is only one of its kind in India.
• Chairperson: Shri Paresh Rawal (2020- As of February 2021). Hence, Option 2 is correct.
• It was established by the Sangeet Natak Akademi as one of its constituent units in 1959.
• It became a sovereign institution in 1975 when it was registered as an autonomous organization under the Societies Registration Act XXI of 1860.
• It is completely financed by the Ministry of Culture, Government of India.
• Bharat Rang Mahotsav, or the 'National Theatre Festival' which was instituted in 1999, is the annual theatre festival of the National School of Drama.
• It is held in New Delhi.
• It is acknowledged as the largest theatre festival in Asia.