SSC CHSL 2020 Official Paper 32 (Held on: 11 Aug 2021 Shift 2) (Previous Year Paper)

The correct answer is 'must return.'

Key Points

• In the underlined segment, the use of the adverb 'back' is not required or superfluous.
• The adverb 'back' means in return.
• The verb 'return' in the underlined segment means to give, send, put or take something back.
• Therefore, the adverb 'back' should be removed from the underlined segment.
  

Hence, the correct answer is option 3.

Correct Sentence: You must return the book you borrowed last month.

Hinglish

• रेखांकित खण्ड में adverb 'back' का प्रयोग फालतू है या आवश्यक नहीं है।
• Adverb 'back' का अर्थ है वापसी तौर पर।
• रेखांकित खंड में verb 'return' का अर्थ है कुछ वापस देना, भेजना, रखना या लेना।
• अत: रेखांकित खंड से adverb 'back' का प्रयोग हटा देना चाहिए।
  

अतः सही उत्तर विकल्प 3 है।

सही वाक्य: You must return the book you borrowed last month.

The correct answer is The new employee asked the manager when he had to report for work.

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 ''asked'' remains as it is, the question mark (?) becomes the full stop (.).
• The first-person pronoun ''I'' becomes the third-person pronoun ''he''.
• The present simple tense format 'Subject + V1 (have) + Object' will be changed into the past simple tense format 'Subject + V2 (had) + Object'.
  

Hence, the correct answer is option 3.

Confusion Points

• You may think the reporting verb 'told' should be used but the question mark or interrogative sentence indicates the use of the reporting verb 'asked'.
• Thus, the correct answer is option 3.
• You may also think that the sentence is in present perfect tense because of the use of 'have' but 'have' here is acting as the main verb and thus, it is in the simple present tense.
  

Additional Information

• The following table will enable us to know how tense changes into Indirect speech:-

 

Hinglish

• दिया गया वाक्य direct speech है।
• Direct speech को indirect speech में बदलने या बदलने के लिए बुनियादी नियम:
• Commas, inverted commas हटा दिए जाते हैं।
• Reporting verb ''asked'' जस की तस बनी रहती है और question mark (?) पूर्ण विराम (.) बन जाता है।
• The first-person pronoun 'I', third-person pronoun 'he' बन जाता है।
• Present simple tense format 'Subject + V1 (have) + Object' को past simple tense format 'Subject + V2 (had) + Object' में बदल दिया जाएगा।
  

अत: सही उत्तर विकल्प 3 है।

The correct answer is 'CBAD.'

Key Points

• The sentence 'C' is independent of any other sentence as it is giving general information about "the creation of the light". Hence, 'C' is the first part.
• Sentence B will come after C as it is giving information about the first time creation of the light (when the universe began its existence as a glowing fireball).
• Sentence A will come after B as it is giving the reason (this cooled off into the darkness after a few million years) behind the need for the creation of the light for the second time.
• The sentence 'D' is the concluding part as it is giving information about the second time creation of the light (when the cold material is condensed into dense nuggets and ignited to become the first stars​).
  

Paragraph after rearranging the sentences: In the modern scientific story, the light was created not once but twice. The first time was when the universe began its existence as a glowing fireball. This cooled off into the darkness after a few million years. The second time was when the cold material condensed into dense nuggets and ignited to become the first stars.

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 'C' किसी अन्य वाक्य से स्वतंत्र है क्योंकि यह "प्रकाश के निर्माण" के बारे में सामान्य जानकारी दे रहा है। अतः 'C' पहला भाग है।
• वाक्य B, C के बाद आएगा क्योंकि यह पहली बार प्रकाश के निर्माण के बारे में जानकारी दे रहा है (जब ब्रह्मांड ने एक चमकदार आग के गोले के रूप में अपना अस्तित्व शुरू किया)।
• वाक्य A, B के बाद आएगा क्योंकि यह दूसरी बार प्रकाश के निर्माण की आवश्यकता के प��छे का कारण बता रहा है (यह कुछ मिलियन वर्षों के बाद अंधेरे में ठंडा हो गया)।
• वाक्य 'D' समापन भाग है क्योंकि यह दूसरी बार प्रकाश के निर्माण के बारे में जानकारी दे रहा है (जब ठंडी सामग्री घनी डली में संघनित होती है और पहले सितारे बनने के लिए प्रज्वलित होती है)।

The correct answer is 'At a very short distance.'

Key Points

• Given Idiom: At a stone’s throw means Very near or at a very short distance. (बहुत निकट या बहुत कम दूरी पर)
• Example: In our city, the airport and railway station are at a stone’s throw from each other.
• From the given options, the second option is the most appropriate meaning of the given idiom.
  

Hence, the correct answer is option 2.

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Mistake Points

• We may think from the phrase "At a stone’s throw" that it is all about throwing a stone at someone.
  

Additional Information

• The expression has been used loosely since the sixteenth century. This metaphoric term alludes to how far one can toss a stone.

The correct answer is 'devised.'

Key Points

• The given sentence is talking about the preparations made by the schools and states to ensure the safety of students.
• Therefore, the most appropriate word to be filled in the blank is 'devised'.
• The word 'devised' means to plan or invent (a complex procedure, system, or mechanism) by careful thought. 
• Example: A workout program was devised to help overweight men and women drop several pounds quickly.
  

Hence, the correct answer is option 2.

Complete Sentence: Schools will restart physical classes partially and states have devised their own conditions and procedures to ensure the safety of students.

Additional Information

• Let us explore  the other options:
• 'Insisted' means to say firmly that something is true. (किसी बात पर अड़ जाना, अडिग रहना)
• 'Accepted' means to say yes to something or to agree to something. (सहमत होना, ‘हाँ’ करना; स्‍वीकार करना)
• 'Adopted' means to take and use something. (किसी विधि को अपनाना)
  

Hinglish

• दिया गया वाक्य छात्रों की सुरक्षा सुनिश्चित करने के लिए स्कूलों और राज्यों द्वारा की गई तैयारियों के बारे में बात कर रहा है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'devised' है।
• 'Devised' शब्द का अर्थ है कुछ करने का नया तरीक़ा निकालना।
• उदाहरण: A workout program was devised to help overweight men and women drop several pounds quickly.

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अत: सही उत्तर विकल्प 2 है।

पूर्ण वाक्य: Schools will restart physical classes partially and states have devised their own conditions and procedures to ensure the safety of students.

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

Key Points

• In the given sentence, the plural form of the verb 'are' is incorrect.
• When the plural noun denotes some specific quantity or amount of consideration as a whole (here, five minutes), the verb is generally singular.
• Therefore, the subject ''five minutes'' in the given sentence is a singular subject.
• The singular form of the verb 'is' should be used with the singular subject ''five minutes''.
• Therefore, the singular form of the verb 'is' should be used in place of the plural form 'are'.
  

Hence, the correct answer is option 1.

Correct sentence: Only five minutes is allowed for each speaker during the function.

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Additional Information

• Subjects and verbs must agree with one another in number (singular or plural). (विषय और क्रिया एक दूसरे के साथ संख्या (एकवचन या बहुवचन) में सहमत होना चाहिए)
• Thus, if a subject is singular, its verb must also be singular; if the subject is plural, its verb must also be plural. (इस प्रकार, यदि कोई विषय एकवचन है , तो उसकी क्रिया भी एकवचन होनी चाहिए ; यदि विषय बहुवचन है , तो उसकी क्रिया भी बहुवचन होनी चाहिए)
  

Hinglish

• दिए गए वाक्य में क्रिया 'are' का बहुवचन रूप गलत है ।
• जब बहुवचन संज्ञा कुछ विशिष्ट मात्रा या समग्र रूप से मात्रा को दर्शाती है (यहां, पांच मिनट), क्रिया आम तौर पर एकवचन होती है।
• अतः दिए गए वाक्य में subject ''five minutes'' एक एकवचन subject है।
• क्रिया का एकवचन रूप 'is', एकवचन subject ''five minutes'' के साथ प्रयोग किया जाना चाहिए।
• इसलिए बहुवचन क्रिया 'are' के स्थान पर एकवचन क्रिया 'is' का प्रयोग किया जाना चाहिए।
  

अत: सही उत्तर विकल्प 1 है।

सही वाक्य: Only five minutes is allowed for each speaker during the function.

The correct answer is 'The police rescued fifteen children from an unregistered home.'

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 passive voice and it is in the past simple tense.
• When we convert this sentence into an active voice, the subject 'Fifteen children' of the passive voice becomes the object, the object 'the police' becomes the subject.
• The passive format "was + V3 (rescued)" should be converted into the active format "V2 (rescued)".
• This is the active and passive voice rule for the past simple tense.

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Hence, the correct answer is option 2.

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:

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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 passive voice में है और यह past simple tense में है।
• जब हम इस वाक्य को active voice में बदलते हैं, तो passive voice का subject 'Fifteen children', object बन जाता है और object 'the police', subject बन जाता है।
• Passive format "was + V3 (rescued)" को active format "V2 (rescued)" में परिवर्तित किया जाना चाहिए।
• यह past simple tense के लिए active and passive voice rule है।
  

अतः सही उत्तर विकल्प 2 है।

The correct answer is 'let us go.'

Key Points

• In the underlined segment, the use of the pronoun 'we' is incorrect.
• The pronoun 'we' is used as the subject of a verb for talking about the speaker and one or more other people.
• In the first part of the given sentence, the pronoun 'We' is acting as the subject of the verb but in the underlined segment it is acting as an object of the verb.
• Therefore, the pronoun 'us' should be used in place of the pronoun 'we' in the underlined segment.
• The pronoun 'us' is used by a speaker to refer to himself or herself and one or more other people as the object of a verb or preposition.
  

Hence, the correct answer is option 4.

Correct Sentence: We have finished our work for the day, so let us go home early today.

Hinglish

• रेखांकित खंड में pronoun 'we' का प्रयोग गलत है।
• Pronoun 'we' का प्रयोग क्रिया के विषय के रूप में वक्ता और एक या अधिक अन्य लोगों के बारे में बात करने के लिए किया जाता है।
• दिए गए वाक्य के पहले भाग में, pronoun 'We' क्रिया के विषय के रूप में कार्य कर रहा है लेकिन रेखांकित खंड में यह क्रिया की वस्तु के रूप में कार्य कर रहा है।
• अत: रेखांकित खंड में pronoun 'we' के स्थान पर pronoun 'us' का प्रयोग करना चाहिए।
• Pronoun 'us' का प्रयोग एक वक्ता द्वारा स्वयं को या एक या एक से अधिक अन्य लोगों को क्रिया या पूर्वसर्ग की वस्तु के रूप में संदर्भित करने के लिए किया जाता है।
  

अतः सही उत्तर विकल्प 4 है।

सही वाक्य: We have finished our work for the day, so let us go home early today.

The correct answer is 'Bright.'

Key Points

• The given word 'Gloomy' means being without light or without much light. (प्रकाश के बिना या अधिक प्रकाश के बिना होना)
• Example: The marathon is being canceled because of the gloomy weather.
• ​Let's see the meaning of other given options:-
• 'Bright' means having a lot of light. (प्रकाश-भरा, प्रदीप्‍त, उज्ज्वल, चमकीला)
• Example: I awoke to bright sunlight.
• 'Dull' means lacking brightness, vividness, or sheen. (धुँधला, फीका, मंद, हलका)
• Example: The house was dull, old-fashioned, and in bad condition.
• 'Dismal' means gloomy; dim. (अंधकारपूर्न; धुंधला)
• Example: It was a grey, dismal November afternoon.
• 'Catchy' means (of a tune or phrase) instantly appealing and memorable. ((एक धुन या वाक्यांश का) तुरन्त आकर्षक और यादगार)
• Example: The songs were both catchy and original. 
  

Hence, the correct answer is option 1.

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Additional Information

• The antonyms of the word 'Gloomy' are "Bright, Glossy, Illuminated".
• The synonyms of the word 'Gloomy' are "Dull, Dark, Dim".

The correct answer is 'Unpretensious'.

Key Points

• Let us explore the options:-
• 'Dilemma' means a situation in which you have to make a difficult choice between two or more things. (दुविधा, असमंजस)
• Example: Vikas found himself in a dilemma when his two best friends were fighting.
• 'Recurrent' means occurring often or repeatedly. (पुनरावर्तक)
• Example: He had a recurrent dream about falling.
• 'Unpretensious': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Unpretentious' means not trying to appear more special or important than you really are. (अनाडंबरी, अमहत्वाकांक्षी)​
• 'Excellence' means the quality of being very good. (श्रेष्‍ठता, उत्‍कृष्‍टता)
• Example: The school rewarded him with a prize for excellence in his studies.
  

Hence, the correct answer is option 3.

Additional Information

• Example of 'Unpretentious' in a sentence:
• Although he was wealthy, he lived in an unpretentious house.

The correct answer is 'Polite.'

Key Points

• The given word 'Curt' means being or characterized by direct, brief, and potentially rude speech or manner. (प्रत्यक्ष, संक्षिप्त, और संभावित रूप से अशिष्ट भाषण या तरीका)
• Example: She was offended by the curt reply to her well-meaning question.
• ​Let's see the meaning of other given options:-
• 'Dismal' means pitifully or disgracefully bad. (दयनीय या घृणित रूप से बुरा)
• Example: The show was a dismal failure.
• 'Polite' means having good manners and showing respect for others. (सुशील और दूसरों का सम्‍मान करने वाला; नम्र, शिष्‍ट)
• Example: Everybody likes polite people.
• 'Rude' means not polite. (अशिष्‍ट, अभद्र)
• Example: He is disliked for his rude behavior.
• 'Impolite' means not having or showing good manners; rude. (अभद्र, अशिष्‍ट)
• Example: He is so impolite that everyone hates him.
  

Hence, the correct answer is option 2.

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Additional Information

• The antonyms of the word 'Curt' are "Polite, Gracious, Courteous".
• The synonyms of the word 'Curt' are "Rude, Impolite, Disrespectful".

The correct answer is 'Flick.'

Key Points

• Let's see the meanings of the given words-
• Speak - to talk or say things. (कुछ बोलना; कहना)
• Example: I was so angry I could hardly speak.
• Fleck - A very small mark on something; a very small piece of something. (किसी वस्‍तु पर बहुत छोटा निशान; किसी वस्‍तु का बहुत छोटा टुकड़ा)
• Example: The material has a red fleck in it.
• Dust - Very small pieces of dry dirt, sand, etc. in the form of a powder. (धूल, मिट्टी, गर्द)
• Example: Everything was covered with a fine layer of dust.
• Flick - A sudden quick movement. (अचानक तेज़ी के साथ किसी वस्‍तु का हिलना या उसे हिलाना)​
• Example: The fish gave a quick flick of its tail.
  

Hence, the correct answer is option 4.

The correct answer is 'Shocking.'

Key Points

• The given word 'Appalling' means to shock somebody very much. (किसी को भयभीत या स्‍तब्‍ध कर देना; मानसिक आघात पहुँचाना)
• Example: The guru’s lie was appalling to those who followed his teachings.
• ​Let's see the meaning of other given options:-
• 'Shocking' means to cause an unpleasant feeling of surprise in somebody. (किसी के मन में दुखद आश्‍चर्य उत्‍पन्‍न करना; सदमा पहुँचाना)
• Example: He gave a very vivid and often shocking description of his time in prison.
• 'Tremendous' means extremely good or impressive; excellent. (बहुत अच्छा या प्रभावशाली; अति उत्कृष्ट)
• Example: He has a tremendous amount of energy.
• 'Fantastic' means extraordinarily good or attractive. (असाधारण रूप से अच्छा या आकर्षक)
• Example: Baking soda does a fantastic job of cleaning super dirty ovens.
• 'Awesome' means extremely impressive or daunting; inspiring awe. (अत्यंत प्रभावशाली या चुनौतीपूर्ण; विस्‍मयकारी)
• Example: You did an awesome job on that project.
  

Hence, the correct answer is option 1.

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Additional Information

• The synonyms of the word 'Appalling' are "Shocking, Awful, Horrible".
• The antonyms of the word 'Appalling' are "Delightful, Gratifying, Pleasant".

The correct answer is 'Thoroughfare.'

Key Points

• Let's see the meanings of the given words:-
• Thoroughfare - A main road or street used by the public in a city or town or a route between two places. (शहर आदि में मुख्य सड़क; आम रास्ता, सार्वजनिक मार्ग)
• Example: Don't park your car on a busy thoroughfare.
• Highway - The main road, especially one connecting major towns or cities. (नगरों के बीच मुख्‍य मार्ग, राजमार्ग, हाइवे)
• Example: They want to build a new four-lane highway.
• Promenade - A wide path where people walk beside the sea in a town on the coast. (तटीय शहर में समुद्र के साथ-साथ लोगों के लिए बना चौड़ा विचरण-पथ; तटपथ)
• Example: We strolled along on the promenade eating ice-creams.
• Avenue - A wide street, especially one with trees or tall buildings on each side. (चौड़ी सड़क जिसके दोनों ओर पेड़ या ऊँची इमारतें हों)​
• Example: They walked the full length of the avenue on one side of the road, and returned along the other side.
  

Hence, the correct answer is option 1.

The correct answer is 'we couldn’t be able to' i.e. this part of the sentence has an error.

Key Points

• In the given sentence, the use of the phrase 'be able to' is not required or superfluous.
• The words ''can, could, be able to'' are used to talk about ability, awareness, and possibility and also to say that someone has permission to do something.
• Both 'can' and 'could' are followed by an infinitive (here, score) without 'to'.
• Example: It was so dark you could not see anything.
• Therefore, the phrase 'be able to' should be removed from the sentence.
  

Hence, the correct answer is option 1.

Correct Sentence: Although we had very good batsmen, we couldn’t score high.

Hinglish

• दिए गए वाक्य में, phrase 'be able to' के उपयोग की आवश्यकता नहीं है या अनावश्यक है।
• क्षमता, जागरूकता और संभावना के बारे में बात करने के लिए और यह भी कहन�� के लिए कि किसी के पास कुछ करने की अनुमति है, ''can, could, be able to'' शब्द का इस्तेमाल किया जाता है।
• 'Can' और 'Could' दोनों के बाद 'to' के बिना एक infinitive (यहां, score) आता है।
• इसलिए, वाक्य से 'be able to' वाक्यांश को हटा दिया जाना चाहिए।
  

अतः सही उत्तर विकल्प 1 है।

सही वाक्य: Although we had very good batsmen, we couldn’t score high.

The correct answer is 'CBDA.'

Key Points

• The sentence 'C' is independent of any other sentence as it is giving general information about "the steps that should be followed by civil servants for better administration". Hence, 'C' is the first part.
• Sentence B will come after C as it is giving information about the first step i.e. there should be transparency in making decisions as secrecy breeds corruption.
• Sentence D will come after B as it is giving information about the next step i.e. all decisions must be taken only in the public interest, to benefit the community at large.
• The sentence 'A' is the concluding part as it further explains or elaborates why all decisions must be taken only in the public interest (decisions should not be taken under any kind of pressure to benefit individuals or only a small section of society).
  

Paragraph after rearranging the sentences: There are certain values that civil servants need to imbibe in themselves for better administration. First, there should be transparency in making decisions; secrecy breeds corruption. Then, all decisions must be taken only in the public interest, to benefit the community at large. This means that decisions should not be taken under any kind of pressure to benefit individuals or only a small section of society.

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 'C' किसी अन्य वाक्य से स्वतंत्र है क्योंकि यह "बेहतर प्रशासन के लिए सिविल सेवकों द्वारा अनुसरण किए जाने वाले कदमों" के बारे में सामान्य जानकारी दे रहा है। अतः 'C' पहला भाग है।
• वाक्य B, C के बाद आएगा क्योंकि यह पहले चरण के बारे में जानकारी दे रहा है यानी निर्णय लेने में पारदर्शिता होनी चाहिए क्योंकि गोपनीयता भ्रष्टाचार को जन्म देती है।
• वाक्य D, B के बाद आएगा क्योंकि यह अगले चरण के बारे में जानकारी दे रहा है अर्थात सभी निर्णय केवल जनहित में लिए जाने चाहिए, ताकि बड़े पैमाने पर समुदाय को लाभ हो।
• वाक्य 'A' समापन भाग है क्योंकि यह आगे बताता है या विस्तृत करता है कि सभी निर्णय केवल सार्वजनिक हित में क्यों लिए जाने चाहिए (निर्णय किसी भी प्रकार के दबाव में व्यक्तियों या समाज के केवल एक छोटे से वर्ग को लाभ के लिए नहीं लिया जाना चाहिए)।

The correct answer is 'Canfidents'.

Key Points

• Let us explore the options:-
• 'Ambush' means a surprise attack from a hidden position. (घात लगाकर किया गया हमला)
• Example: He was killed in an enemy ambush.
• 'Disastrous' means terrible, harmful, or failing completely. (अनर्थकारी; दु:खद, विनाशकारी)
• Example: Our mistake had disastrous results.
• 'Canfidents': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Confidence' means trust or strong belief in somebody or something. (किसी पर भरोसा या पक्‍का विश्‍वास)​
• 'Provoke' means to cause a particular feeling or reaction. (विशेष भाव या प्रतिक्रिया उत्‍पन्‍न करना; उकसाना)
• Example: An article intended to provoke discussion.
  

Hence, the correct answer is option 3.

Additional Information

• Example of 'Confidence' in a sentence:
• The public is losing confidence in the present government.

The correct answer is 'To take advantage of a difficult situation.'

Key Points

• Given Idiom: To fish in troubled waters means to try to take advantage of a difficult or confusing situation. (किसी कठिन या भ्रमित करने वाली स्थिति का लाभ उठाने का प्रयास करना)
• Example: Stay away from those who try to fish in troubled waters.
• From the given options, the first option is the most appropriate meaning of the given idiom.
  

Hence, the correct answer is option 1.

<br>

Mistake Points

• We may think from the phrase "To fish in troubled waters" that it is all about catching fish in stormy weather in the sea.
  

Additional Information

• This term, first recorded in 1568, expresses the even older notion that fish bite more readily when seas are rough.

The correct answer is 'Path.'

Key Points

• The given word 'Trail' means a path through the countryside. (पगडंडी; रास्ता)
• Example: There is a hiking trail around the lake.
• ​Let's see the meaning of other given options:-
• 'Rehearsal' means practice or trial performance of a play or other work for later public performance. (किसी नाटक या अन्य कार्य के सार्वजनिक प्रदर्शन से पहले उसका पूर्वाभ्यास)
• Example: A regular rehearsal schedule is also essential for becoming a stellar dance team.
• 'Path' means a way across a piece of land that is made by or used by people walking. (पगडंडी, रास्‍ता)
• Example: They rode across the pasture and entered a path through the forest.
• 'Glory' means fame or honour that you get for achieving something. (उपलब्धि से प्राप्‍त यश या सम्‍मान)
• Example: Better to die in glory than live in dishonor.
• 'Win' means to get something through hard work, great effort, etc. (परिश्रम, बहुत प्रयास आदि करके कुछ प्राप्‍त करना)
• Example: She hopes to win the game against her school rival.
  

Hence, the correct answer is option 2.

<br>

Additional Information

• The synonyms of the word 'Trail' are "Path, Track, Passage".

The correct answer is 'accompany.'

Key Points

• The given sentence is saying when we speak, our gestures and body language go together with our words.
• Therefore, the most appropriate word to be filled in the blank is 'accompany'.
• The word 'accompany' means anything that goes together well with something else. 
• Example: According to the menu, a side salad and rolls will accompany the steak.
  

Hence, the correct answer is option 3.

Complete Sentence: When you speak, there are gestures and body language that accompany your words.

Additional Information

• Let us explore  the other options:
• 'Construct' means To build or make something. (किसी वस्‍तु का निर्माण करना, बनाना; रचना)
• 'Accomplish' means To succeed in doing something difficult that you planned to do. (किसी कठिन कार्य को करने में सफल होना)
• 'Achieve' means To complete something by hard work and skill. (किसी कार्य को मेहनत व कौशल द्वारा संपन्‍न करना)
  

Hinglish

• दिया गया वाक्य कह रहा है कि जब हम बोलते हैं तो हमारे हाव-भाव हमारे शब्दों के साथ मेल खाते हैं।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'accompany' है।
• 'Accompany' शब्द का अर्थ है कुछ भी जो किसी और चीज़ के साथ अच्छी तरह मेल खाती हो।
• उदाहरण: According to the menu, a side salad and rolls will accompany the steak.

<br>

अत: सही उत्तर विकल्प 3 है।

पूर्ण वाक्य: When you speak, there are gestures and body language that accompany your words.

The correct answer is 'Where.'

Key Points

• The given sentence "(1) will humans go after they have explored our solar system?'' asks about the next destination of the humans after the exploration of the solar system.
• Let us explore the given options:
• 'When' means at what time.
• 'Why' means for what reason.
• 'How' means in what way.
• 'Where' means in or to what place or position.
  

Hence, the correct answer is option 4.

Complete Sentence: Where will humans go after they have explored our solar system?

Hinglish

• दिया गया वाक्य "(1) will humans go after they have explored our solar system?'' सौर मंडल की खोज के बाद मनुष्यों के अगले गंतव्य या स्थान के बारे में पूछता है।
• आइए दिए गए विकल्पों का पता लगाएं:
• 'When' का अर्थ है कब, किस समय।
• 'Why' का अर्थ है क्‍यों; किस कारण, किस कारण से; किसलिए।
• 'How' का अर्थ है किस प्रकार, कैसे।
• 'Where' का अर्थ है कहाँ, कौन-सी जगह पर, या स्थिति में।
  

अत: सही उत्तर विकल्प 4 है।

पुरा वाक्य: Where will humans go after they have explored our solar system?

The correct answer is 'answer.'

Key Points

• The given sentence "It is said that ‘Star Trek’ could hold the (2) to these questions'' talks about an expectation of a positive reply from 'Star Trek' about space travel.
• Therefore, the most appropriate word to be filled in the blank is 'answer'.
• The word 'answer' means to say or write something back to somebody who has asked you something or written to you. 
• Example: The teacher couldn't answer the philosophical problem.
  

Hence, the correct answer is option 3.

Complete Sentence: It is said that ‘Star Trek’ could hold the answer to these questions*.*

 

Additional Information

• Let us explore  the other options:
• 'Solution' means a way of solving a problem, dealing with a difficult situation, etc. (किसी समस्‍या, कठिनाई आदि से निपटने का ढंग; हल, समाधान)
• 'Query' means a question, especially one asking for information or expressing doubt about something. (प्रश्‍न; पूछताछ करना)
• 'Door' is used to refer to the distance from one building in a row to another; a hinged, sliding, or revolving barrier at the entrance to a building, room, or vehicle, or in the framework of a cupboard. (एक इमारत से दूसरी इमारत की दूरी; द्वार)

Hinglish

• दिया गया वाक्य "It is said that ‘Star Trek’ could hold the (2) to these questions'' अंतरिक्ष यात्रा के बारे में 'स्टार ट्रेक' से सकारात्मक उत्तर की अपेक्षा के बारे में बात करता है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'answer' है।
• 'Answer' शब्द का अर्थ है उत्तर देना; जवाब देना।
• उदाहरण: The teacher couldn't answer the philosophical problem.

<br>

अत: सही उत्तर विकल्प 3 है।

पूर्ण वाक्य: It is said that ‘Star Trek’ could hold the answer to these questions*.*

The correct answer is 'possible.'

Key Points

• The given sentence "It is predicted that travel to other galaxies will only be (3) in huge ‘starships’'' is saying that travel to other galaxies can only be done in huge starships.
• Therefore, the most appropriate word to be filled in the blank is 'possible'.
• The word 'possible' means something that can happen or be done. 
• Example: It is possible to get there by bus.
  

Hence, the correct answer is option 3.

Complete Sentence: It is predicted that travel to other galaxies will only be possible in huge ‘starships’.

 

Additional Information

• Let us explore  the other options:
• 'Achieved' means To gain something, usually by effort or skill. (कुछ प्राप्‍त करना, प्रायः मेहनत और कौशल द्वारा)
• 'Implemented' means To put (a decision, plan, agreement, etc.) into effect. (योजना आदि पर अमल करना, उसे व्‍यवहार में लाना; कार्यान्वित करना)
• 'Imagined' means Something unreal or untrue believed to exist or be so. (किसी व्‍यक्ति या वस्‍तु के विषय में कुछ कल्‍पना करना, मन में उसका चित्र या उसके विषय में कोई धारणा बनाना)
  

Hinglish

• दिया गया वाक्य "It is predicted that travel to other galaxies will only be (3) in huge ‘starships’'' यह कह रहा है कि अन्य आकाशगंगाओं की यात्रा केवल विशाल स्टारशिप में ही की जा सकती है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'possible' है।
• 'Possible' शब्द का अर्थ है संभव जो घटित हो सके या किया जा सके, शक्‍य।
• उदाहरण: It is possible to get there by bus.

<br>

अत: सही उत्तर विकल्प 3 है।

पूर्ण वाक्य: It is predicted that travel to other galaxies will only be possible in huge ‘starships’.

The correct answer is 'population.'

Key Points

• The given sentence "Each of them will carry a large human (4)'' talks about starships carrying a large number of people.
• Therefore, the most appropriate word to be filled in the blank is 'population'.
• The word 'population' means all the people or animals of a particular type that live somewhere. 
• Example: One-third of the world's human population lives on land that is liable to be inundated if the seas rise.
  

Hence, the correct answer is option 2.

Complete Sentence: Each of them will carry a large human population.

 

Additional Information

• Let us explore  the other options:
• 'Proportion' means a part or share of a whole. (पूर्ण का एक भाग या अंश)
• 'Colony' means a country or area that is ruled by another, more powerful country. (किसी देश या क्षेत्र पर अन्य शक्तिशाली देश द्वारा आधिपत्य; उपनिवेश देश)
• 'Instinct' means the natural force that causes a person or animal to behave in a particular way without thinking or learning about it. (सहज वृत्ति, स्‍वाभाविक प्रवृत्ति, नैसर्गिक या मूल प्रवृत्ति)
  

Hinglish

• दिया गया वाक्य "Each of them will carry a large human (4)'' बड़ी संख्या में लोगों को ले जाने वाले स्टारशिप के बारे में बात करता है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'population' है।
• 'Population' शब्द का अर्थ है विशेष स्‍थान पर रहने वाले समस्‍त व्‍यक्ति या कहीं पर रहने वाले विशेष प्रकार के समस्‍त व्‍यक्ति या जीव-जंतु।
• उदाहरण: One-third of the world's human population lives on land that is liable to be inundated if the seas rise.

<br>

अत: सही उत्तर विकल्प 2 है।

पूर्ण वाक्य: Each of them will carry a large human population.

The correct answer is 'distant.'

Key Points

• The given sentence "This search for new planets to settle in will continue until life on planet Earth could be just a (5) memory'' talks about the search for new planets to settle will continue.
• Therefore, the most appropriate word to be filled in the blank is 'distant'.
• The word 'distant' means a long way away in space or time. 
• Example: That glorious past now seems a dim and distant memory.
  

Hence, the correct answer is option 4.

Complete Sentence: This search for new planets to settle in will continue until life on planet Earth could be just a distant memory*.*

 

Additional Information

• Let us explore  the other options:
• 'Nearest' means only a short time ahead. (बस कुछ ही समय आगे)
• 'Imaginary' means existing** only in the mind; not real**. (केवल मन में, काल्‍पनिक; अवास्‍तविक)
• 'Factual' means based on or containing things that are true or real. (तथ्‍यों पर आधारित)
  

Hinglish

• दिया गया वाक्य "This search for new planets to settle in will continue until life on planet Earth could be just a (5) memory'' कहना चाहता है कि इंसानों के बसने के लिए नए ग्रहों की खोज के बारे में बातचीत जारी रहेगी।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'distant' है।
• 'Distant' शब्द का अर्थ है स्‍थान या समय की दृष्टि से काफ़ी दूर।
• उदाहरण: That glorious past now seems a dim and distant memory.

<br>

अत: सही उत्तर विकल्प 4 है।

पूर्ण वाक्य: This search for new planets to settle in will continue until life on planet Earth could be just a distant memory*.*

The Logic here is as follows:

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

In (25, 17, 170)

(√1^st number × 2^nd number) × 2

= (√25 × 17) × 2

= (5 × 17) × 2

= 85 × 2

= 170 = 3^rd Number

Similarly,

In (36, 12, 144)

(√1^st number × 2^nd number) × 2

= (√36 × 12) × 2

**= **(6 × 12) × 2

= 72 × 2

= 144 = 3^rd Number

Hence, the correct answer is "(36, 12, 144)".

The embedded part of this image is:

Hence, option (3) is the correct answer.

 

 

Note: Multiple of 400 years i.e. 800, 1200, 1600, 2000 have 0 odd days.

Calculating leap year: For Finding number of leap year (1-99)yr, divide the number of years by 4 and the quotient will be the number of leap year.

Leap year between 2000 to 2009 = 2004 and 2008

And,

Non leap year between 2000 and 2009 = 2001, 2002, 2003, 2005, 2006 and 2007

So, total number of odd day between 2000 and 2009 = 6 (Total Non- leap year) + 4 (Two leap year) = 10 days = 3 odd day

 

So, 1 January 2009 was Thursday.

So, 29 January was also Thursday.

31 January 2009 = 29 January 2009 + 2 days

31 January 2009 = Thursday + 2

So, 31 January 2009 was Saturday.

Hence, 31 January 2009 was “Saturday”.

The table is alphabets place value:

The pattern followed here is:

Sum of the opposite alphabets place value - number of alphabets = number.

'TOPPER' is coded as '66'

TOPPER → Total number of alphabets is 6.

Sum of the opposite alphabets place value - number of alphabets = number.

=> (7 + 12 + 11 + 11 + 22 + 9) - 6 = 72 - 6 = 66

And,

'MARK' is coded as '61'

MARK → Total number of alphabets is 4.

Sum of the opposite alphabets place value - number of alphabets = number.

=> (14 + 26 + 9 + 16) - 4 = 65 - 4 = 61

Similarly,

INDUCE = ?

INDUCE → Total number of alphabets is 6.

Sum of the opposite alphabets place value - number of alphabets = number.

=> (18 + 13 + 23 + 6 + 24 + 22) - 6 = 106 - 6 = 100

Hence, 'INDUCE' is coded as "100".

The logic is here is:

(1^st number ÷ 2)² = 2^nd number.

Now, follow the logic:

Option (1): 24 ∶ 130

(24 ÷ 2)² = 12² = 144 ≠ 1st number.

This option do not follow the pattern.

Option (2): 30 ∶ 225

(30 ÷ 2)² = 15² = 225 = 2nd number.

This option follows the pattern.

Option (3): 20 ∶ 100

(20 ÷ 2)² = 10² = 100  = 2nd number.

This option follows the pattern.

Option (4): 14 ∶ 49

Now, follow the logic:

(14 ÷ 2)² = 7² = 49 = 2nd number

This option follows the pattern.

Hence, pair “24 ∶ 130” is an odd one.

The pattern followed here is:

 

Hence, '935' is the correct answer.

Preparing the family tree using the following symbols,

Given:

Aniket is the brother of the son of Priyanka's son.

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

Hence, Aniket is the "Grandson" of the Priyanka.

According to the sequence in the dictionary:

The correct order of the given words is:

3. Routine
4. Rugby
5. Ruler
6. Rusticate
7. Ruthless

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

The image obtained when the paper is unfolded is,

Hence, option 3 is the correct answer.

The Venn diagrams best represent the relationship between - Brother, Family, Sister figures are shown below:

The family has a brother and sister and no brother is a sister.

Hence, ‘option 1’ is the correct answer.

The Logic here is as follows:

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

In (16, 60, 240)

(1^st number × 2^nd number) ÷ 4

= (16 × 60) ÷ 4

= 960 ÷ 4

= 240 = 3^rd Number

Now check the all options,

Option (1) (20, 12, 121)

(1^st number × 2^nd number) ÷ 4

= (20 × 12) ÷ 4

= 240 ÷ 4

= 60 ≠ 3^rd Number

Option (2) (16, 38, 260)

(1^st number × 2^nd number) ÷ 4

= (16 × 38) ÷ 4

= 608 ÷ 4

= 152 ≠ 3^rd Number

Option (3) (14, 42, 196)

(1^st number × 2^nd number) ÷ 4

= (14 × 42) ÷ 4

= 588 ÷ 4

= 147 ≠ 3^rd Number

Option (4) (18, 56, 252)

(1^st number × 2^nd number) ÷ 4

= (18 × 56) ÷ 4

= 1008 ÷ 4

= 252 = 3^rd Number

Hence, the correct answer is "(18, 56, 252)".

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 an anti-clockwise direction.

We get,

In first dice and second dice.

The number '6' is common.

The left letter will be opposite to each other writing them clockwise starting from 6.

 

Hence, the face opposite to the 3 is “6”.

The logic followed here is:

Logic: Country : Capital

Libya : Tripoli → Tripoli city is the capital of Libya country.

Similarly,

Zambia : Lusaka → Lusaka city is the capital of Zambia country.

Hence, ‘Zambia : Lusaka’ is the correct answer. 

Mistake Points Kampala is the Capital of Uganda and Harare is the Capital of Zimbabwe.

But, the order given of the remaining options does not according to the question order. Only option 2 follows that pattern.

The logic followed here is:

Entomology : Insects → Entomology is the study of Insects.

Similarly,

Palaeontology : Fossils → Palaeontology is the study of Fossils.

Hence, ‘Fossils’ is the correct answer.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'WXYZ’.

Hence, “WXYZ” is the odd one.

According to the BODMAS rule:

 

Option 1 : × and –

Given:

45 – 49 + 26 × 70 ÷ 35 = 42

After interchange the signs;

45 × 49 + 26 - 70 ÷ 35 = 42

By BODMAS rule

45 × 49 + 26 - 2 = 42

2205 + 26 - 2 = 42

2231 - 2 = 42

2229 = 42 (LHS ≠ RHS)

Option 2 : ÷ and ×

Given: 

45 – 49 + 26 × 70 ÷ 35 = 42

After interchange the signs;

45 – 49 + 26 ÷ 70 × 35 = 42

By BODMAS rule

45 – 49 + 0.37 × 35 = 42

45 – 49 + 13 = 42

58 – 49 = 42

9 = 42 (LHS ≠ RHS)

Option 3: + and ×

Given:

45 – 49 + 26 × 70 ÷ 35 = 42

After interchange the signs;

45 – 49 × 26 + 70 ÷ 35 = 42

By BODMAS rule

45 – 49 × 26 + 2 = 42

45 – 1274 + 2 = 42

47 – 1274 = 42

– 1227 = 42 (LHS ≠ RHS)

Option 4: + and –

Given:

45 – 49 + 26 × 70 ÷ 35 = 42

After interchange the signs;

45 + 49 - 26 × 70 ÷ 35 = 42

By BODMAS rule

45 + 49 - 26 × 2 = 42

45 + 49 - 52 = 42

94 - 52 = 42

42 = 42 (LHS = RHS)

Hence, the answer is “+ and –”.

The logic followed here is:

Option (1) Saxophone → The saxophone is in a woodwind family group of musical instruments.

Option (2) Mandolin → The Mandolin is in a stringed family group of musical instruments.

Option (3) Clarinet → The Clarinet is in a woodwind family group of musical instruments.

Option (4) Flute → The Flute is in a woodwind family group of musical instruments.

All musical instruments are in a woodwind family group expect ‘Mandolin’.

 

Hence, “Mandolin” is an odd one.

The number of triangles in the given figure is:

 

So, there are a total of 15 triangles in the figure.

Hence, ‘15’ is the correct answer.

The table is alphabets place value:

The pattern followed here is:

 'UMBRELLA' is written as 'VNCSDKKZ'

And,

'FASTENED' is written as 'GBTUDMDC'

Similarly,

MONUMENT = ?

Hence, 'MONUMENT' is coded as "NPOVLDMS".

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

1. Small figures move in a diagonal direction.

2. Last small figure in diagonal transfers upper right.

3. First small figure replace as a new small figure.

Final series is

 

Hence, ‘option 2’ is the correct answer.

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.

Given:- p _ t b c p r _ b c _ r t b _ p _ t _ c

We put all the option in blank area and check who create particular pattern

Option (1) r, p, c, t, b, r → p r t b c - p r p b c - c r t b t - p b t r c

Option (2) r, t, p, c, r, b → p r t b c - p r t b c - p r t b c - p r t b c

Here p r t b c  is repeated.

Option (3) r, p, t, r, b, c → p r t b c - p r p b c - t r t b r - p b t c c

Option (4) r, c, p, b, t, r → p r t b c - p r c b c - p r t b b - p t t r c

    ♦  Option (2) gives a pattern of p r t b c - p r t b c - p r t b c - p r t b c.

Hence, ‘r, t, p, c, r, b’ is the correct answer.

Statements:

Some balls are spoons.

All stones are balls.

No ball is a pebble.

The least possible diagram for the given statements is as follows

Conclusions:

I. Some balls are stones → True (Because all stones are balls so some balls are also stones)

II. No spoon is a stone → False (It is possible but not definite)

III. No stone is a pebble → True (Because all stones are balls and no ball is pebble so definitely no stone is a pebble)

Hence, “Both conclusions I and III follow” is the correct answer.

The pattern followed here is,

1st number × 6 =  2nd number

24 × 6 = 144

35 × 6 = 210

similarly, 

x × 6 = 174

x = 29

Alternate Method

Let (1^st number : 2^nd number)

2^nd number ÷ 6 = 1^st number

Now follow the steps:

24 : 144

=> 144 ÷ 6 = 24 = 1^st number

And,

35 : 210

=> 210 ÷ 6 = 35 = 1^st number

Similarly,

? : 174

=> 174 ÷ 6 = 29 = 1^st number

Hence, "29" is correct answer.

The table is alphabets place value:

The pattern followed here is:

Given:

SHOVEL : MFWPIT

Similarly,

NOVICE ∶ ?

Hence, 'NOVICE' is coded as "FDJWPO".

Given

Amount in 3 years = Rs. 9766

Amount in $4{1\over2}$ years = Rs. 10,849

Formula used

Simple interest = (P × R × T)/100

where P, R and T are principal, rate and time.

Calculation

Amount = Principal + simple interest

9766 = Principal + simple interest for 3 years      ---- (1)

10,849 = Principal + simple interest for 4.5 years       ---- (2)

subtract (1) from (2)

Simple interest for 1.5 years = 10,849 - 9766 = Rs. 1083

Simple interest for 1 years = Rs.1083/1.5 = Rs 722

Simple interest for 3 years = Rs 722 × 3 = Rs. 2166

Principal = Amount - Simple interest

⇒ Rs. 9766 - Rs 2166

⇒ Rs. 7600

Now,

⇒ (P × R × T)/100 = S.I

⇒ (7600 × R × 3)/100 = 2166

⇒ R = (2166 × 100)/(7600 × 3)

⇒ R = 9.5 %

∴ The value of R is 9.5%

Given

Market price of an article = Rs. 1,360

loss = 15%

discount = 25%

Formula used

Selling Price = Market Price - Discount

selling price = Cost price - Loss

Calculation

Selling price = Market price - Discount

⇒ Rs. 1360 - Rs 25% of 1360

⇒1360 - 340

⇒ Rs. 1020

let the cost price is Rs.x

Selling price = Cost price - Loss

1020 = x - 15% of x

⇒ 1020 = x - (15x/100)

⇒ 1020 = (100x - 15x)/100

⇒ 1020 = 85x/100

⇒ (1020 × 100)/85 = x

⇒ 1200 = x

∴ The cost price of the article is Rs.1200

Shortcut TrickCalculation:

C.P/M.P = (100 - D%)/100 - L%)

C.P/1360 = (100 - 25)/(100 - 15)

C.P = (75 × 1360)/85

C.P = Rs. 1200

∴ The correct answer is Rs. 1200.

Production of flavour A in 2013 = 45,00,000

Production of flavour A in 2011 = 60,00,000

Required percentage = [(60,00,000 - 45,00,000)/60,00,000] × 100

⇒ (15,00,000/60,00,000) × 100

⇒ 25%

∴ The approximate percentage decline in the production of flavour A in 2013 as compared to the production of flavour A in 2011 was 25%

Given

cot2 θ + cot4 θ = 2

To find

2 sin4 θ + sin2 θ 

Identity

Cosec A = 1/sin A

cot A = cos A/sin A

cos²A + sin²A = 1

cosec² A - cot²A = 1

Calculation

cot²θ (1 + cot²θ) = 2

⇒ cot²θ × cosec²θ = 2

⇒ (cos²θ/sin²θ ) × (1/sin²θ ) = 2

⇒ cos²θ/sin⁴θ  = 2

⇒ cos²θ  = 2 sin⁴θ       ---- (1)

According to question 2 sin4 θ + sin²θ 

⇒ cos²θ + sin²θ (from 1)

⇒ 1 

∴  The value of 2 sin4 θ + sin2 θ is 1

Shortcut TrickCalculation:

cot2 θ + cot4 θ = 2

if we put θ = 45°

⇒ cot2 45° + cot4 45° = 2

⇒ 1 + 1 = 2

⇒ 2 = 2 

∴ θ = 45°

Now put the value of θ = 45° in the equation:

⇒ 2 sin4 θ + sin2 θ

⇒ 2 × sin4 45° + sin2 45°

⇒ 2 × (1/√2)⁴ + (1/√2)²

⇒ 2 × 1/4  + 1/2

⇒ 1/2 + 1/2 = 1

∴ The correct answer is 1.

Given

⇒ a - b = 7

⇒ a2 + b2 =169

Calculation

⇒ a - b = 7

Squaring on both sides, we get

⇒ (a - b)² = (7)² 

⇒ a² + b² - 2ab = 49

⇒ 169 -2ab = 49

⇒ 169 - 49 = 2ab

⇒ 120 = 2ab

⇒ ab = 60

Now,

⇒ (a + b)² = a2 + b2 + 2ab

⇒ a + b = √(169 + 2 × 60)

⇒ a + b = √289 = 17

∵ (a + b) = 17, (a - b) = 7

So, a = (17+ 7)/2 = 12 , b = (17 - 7)/2 = 5

After putting the value of a = 12 and b = 5 into the equation:

⇒ (3a + b) = 3(12) + 5

⇒ 36 + 5

⇒ 41

∴ The value of 3a + b is 41.

Calculation:

let the smallest six-digit number is 100000.

when 100000 is divided by 53, then the remainder will be 42.

∴ The smallest six digit number which will be divided by 53 =100000 + 53 - 42 = 1000011

∴ Required six-digit number that is exactly divisible by 53 is 100011.

Calculation:

Number of neon lamps having life 500 hours or more = 60 + 75 =135

Number of neon lamps having life 800 hours or more = 80 + 70 + 55 + 35 = 240

Required percentage = (135/240) × 100

⇒ 56.25%

∴ The number of neon lamps having life 500 hours or more but less than 700 hours is 56.25% of the total number of neon lamps having life 800 hours or more.

Given

A completes 20% of work in 5 days

B completes (1/3)rd of work in 5 days

concept

work done = efficiency × time

Calculation

let the total work is x

⇒ 20% of x = 5

⇒ 100% work complete in = (5 × 100)/20 = 25 days

Let the total work completed by B be x.

(1/3)^rd of the work complete in 5 days.

Total work completed in 15 days.

Total units of work (L.C.M of 25 and 15) = 75 units

A's efficiency = Total work/Total time taken

⇒ 75/25 = 3 units

B'efficiency = 75/15 = 5 units

Work done by A and B in 1 day = 3 units + 5 units = 8 units

Work done by A and B in 3 days = 3 × 8 = 24 units

Remaining work after B left = 75 units - 24 units = 51units

Remaining work done by A alone = 51/3 = 17 days

The total time taken to complete a work is (17 + 3) = 20 days.

∴ The total number of days needed for completion of the work is 20 days.

Alternate MethodCalculation:

Now,

B leaves after working for 3 days;

Work done by B in 3 days = 5 × 3 = 15 units

So remaining work = (75 - 15) = 60 units

Now, 60 units of work has done by A

So, the number of days to complete the total work = 60/3 = 20 days.

∴ The correct answer is 20 days.

Given 

A = 70% of B

B = 40% of C

A + B + C = 336

Calculation

A + B + C = 336

70% of B + 40% of C + C = 336

⇒ (70/100) × (40% of C) + 40% of C + C = 336

⇒ (28C/100) + (40C/100) + C = 336

⇒ (28C + 40C + 100C)/100 = 336

⇒ 168C/100 = 336

⇒ C = (336 × 100)/168

⇒ C = 200

B = 40% of C

⇒ (40/100) × 200

⇒ 80

15% of sum of B and C = 15% of (80 + 200)

⇒ (15/100) × 280

⇒ 42

∴ 15% of the sum of B and C is 42.

Given

[(3/5)th of A + 30% of B]/2 = 13.5

[(3/8)th of B + 25% of C]/2 = 15

A = (5/12) times of C

Calculation

[(3/5)th of A + 30% of B]/2 = 13.5

(3/5) × (5/12) times of C + (30B/100) = 27

⇒ (C/4) + (3B/10) = 27

⇒ (5C + 6B)/20 = 27

⇒ 5C + 6B = 540      ---- (1)

[(3/8)th of B + 25% of C]/2 = 15

⇒ (3B/8) + 25% of C = 30

⇒ (3B/8) + (C/4) = 30

⇒ (3B + 2C)/8 = 30

⇒ 3B + 2C = 240     

⇒ 3B = 240 - 2C

⇒ B = (240 - 2C)/3      ---- (2)

From 1 and 2

5C + 6[(240 - 2C)/3] = 540

⇒ 5C + 2(240 - 2C) = 540

⇒ 5C + 480 - 4C = 540

⇒ C = 540 - 480

⇒ C = 60

so, B = (240 - 2 × 60)/3

⇒ (240 - 120)/3

⇒ 120/3

⇒ 40

A = (5/12) times of C

⇒ (5/12) × 60

⇒ 25

A + B + C = 25 + 40 + 60

⇒ 125

∴ The sum of A, B and C is 125.

Given

volume of a sphere = 697$\frac{4}{21}$ cm3 

Formula used

Volume of sphere = (4/3)πr³ 

where r is radius

Calculation

⇒(4/3)πr³ = 697$\frac{4}{21}$

⇒ (4/3)πr³ = 14641/21

⇒ (4/3) × (22/7) × r³ = (14641/21)

⇒ 88r³/21 = 14641/21

⇒ 88r³ = 14641

⇒ r³ = 14641/88

⇒ r³ = 1331/8

⇒ r = 11/2

⇒ r = 5.5 cm

∴ The radius is 5.5 cm.

Concept

<br>

Calculation

⇒ 441 ÷ $[270 ÷ ({3\over 7} × 35) + (17 × 3) - ({17/2} - {5/2})]$

⇒ 441 ÷ [270 ÷ (3 × 5) + 51 - $({12\over 2})]$

⇒ 441 ÷ [ 270 ÷ 15 + 51 - 6]

⇒ 441 ÷ [ 18 + 51 - 6]

⇒ 441 ÷ 63

⇒  7

∴ The value of $441\div\left[270\div\frac{3}{7}\ of\ 35+\left(17\div\frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]$ is 7

Given

Ratio of A, B, C and D = 5 ∶ 7∶ 11 ∶ 15

C's share = B's share + 2480

Calculation

B 's share = 7/38

let the total money is Rs.x

c's share = (7/38) × x + 2480

⇒ (11/38) × x = 7x/38 + 2480

⇒ 11x/38 = 7x/38 + 2480

⇒ (11x/38) - (7x/38) = 2480

⇒ (11x - 7x)/38 = 2480

⇒ 4x/38 = 2480

⇒ x = (2480 × 38)/4

⇒ x = 23560

B's share = 23560 × (7/38) = 4340

D's share = 23560 × (15/38) = 9300

Required difference = 9300 - 4340 = 4960

∴ The difference between the shares of B and D is 4960.

Shortcut TrickCalculation:

Ratio of A, B, C and D = 5 ∶ 7∶ 11 ∶ 15

According to the question:

⇒ (11 - 7) = 4 units = Rs. 2480

⇒ 1 unit = 2480/4 = Rs. 620

Now,

⇒ (15 - 7) = 8 units = 620 × 8 = Rs. 4960

∴ The correct answer is Rs. 4960.

Given

∠BOC = 124° 

To find 

∠BAC 

Concept

The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

∠BAC = ∠BOC/2

Calculation

∠BAC = 124°/2

⇒ ∠BAC = 62° 

∴ The value of ∠BAC is 62° .

Number of table fan produced from Monday to Wednesday = 240 + 510 + 390

⇒ 1140

Average number of table fan produced from  Monday to Wednesday = 1140/3

⇒ 380

Number of table fans produced from Thursday to Saturday = 150 + 300 + 450

⇒ 900

Average number of table fan produced from Thursday to Saturday = 900/3

⇒ 300

Required percentage = [(380 - 300)/300] × 100

⇒ (80/300) × 100

⇒ 26.66%

⇒ 26.7%

∴ The average production of table fans from Monday to Wednesday is approximately 26.7% more than the average production of table fans from Thursday to Saturday.

Given

x4 + y4 = 706 and xy = 15

Formula used

(a + b)² = a² + b² + 2ab

Calculation

x4 + y4 = 706 

adding 2x²y² on both sides

⇒ (x²)² + (y²)² + 2x²y² = 706 + 2x²y²

⇒ (x² + y²)² = 706 + 2(15)²

⇒ (x² + y²)² = 706 + 450

⇒ (x2 + y2)² = 1156

⇒ x² + y² = 34

⇒ x² + y² + 2xy = 34 + 2xy

⇒ (x + y)² = 34 + 2(15)

⇒ (x + y)² = 34 + 30

⇒ (x + y)² = 64

⇒ x + y = 8          -------(1)

Now,

⇒ (x - y)² = x² + y² - 2xy 

⇒ x - y = √(34 - 2 × 15)  

⇒ x - y = √4 = 2    -------(2)

From eq. (1) and eq. (2)

⇒ x = (8 + 2)/2 = 5

⇒ y = (8 - 2)/2 = 3

So, the value of 2x + 3y

⇒ 2(5) + 3(3)

⇒ 10 + 9

⇒ 19

∴  The value of 2x + 3y is 19.

The  number of students that appeared for the scholarship exam from college X = 3000

Total number of students that appeared for the exam from all the colleges together = 2800 + 1800 + 3000 + 2000 + 2400

⇒ 12000

Required Percentage = (3000/12000) × 100 = 25%

∴ The number of students that appeared for the scholarship exam from College X is 25% of the total number of students that appeared for the exam from all the colleges together.

Shortcut Trick

Ajit Singh travels alone from 9.30 a.m. to 1.30 p.m. (4 hours).

Distance covered by Ajit = 44 × 4 = 176 km.

Remaining distance at 1.30 p.m. = 416 − 176 = 240 km.

Relative speed = 44 + 52 = 96 km/h.

Meeting time after 1.30 p.m. = 240 ÷ 96 = 2.5 hours.

1.30 p.m. + 2 hours 30 mins = 4 p.m.

∴ The correct answer is 4 p.m.

Alternate Method

Given:

Speed of Ajit Singh (S_A) = 44 km/h

Speed of David Raj (S_D) = 52 km/h

Total Distance = 416 km

Calculations:

⇒ Time duration for which Ajit travels alone = 1.30 p.m. − 9.30 a.m. = 4 hours

⇒ Distance covered by Ajit in 4 hours = 44 × 4 = 176 km

⇒ Remaining distance to be covered by both = 416 − 176 = 240 km

⇒ Relative speed (opposite direction) = S_A + S_D = 44 + 52 = 96 km/h

⇒ Time taken to meet = Remaining Distance ÷ Relative Speed

⇒ Time = 240 ÷ 96 = 2.5 hours = 2 hours 30 minutes

⇒ Meeting time = 1.30 p.m. + 2 hours 30 minutes = 4.00 p.m.

∴ The correct answer is 4 p.m.

Additional Information

Relative Speed

When two objects move in opposite directions, their relative speed is the sum of their individual speeds (S₁ + S₂).

Meeting Time Formula

Meeting Time = (Initial Distance between them at the same start time) ÷ (Relative Speed).

Time-Distance Relation

Distance = Speed × Time. Always ensure the starting time is synchronized before applying relative speed.

Given

3 cosec θ + 4 sin θ - 4√3 = 0

Concept

Use hit and trial method

Cosec 60° = 2/√3

sin 60° = √3/2

Calculation

3 cosec θ + 4 sin θ = 4 √3

put θ = 60° in L.H.S

3 × cosec 60° + 4 sin 60° 

⇒ 3 × (2/√3) + 4 × (√ 3/2)

⇒ 2√3 + 2√3

⇒ 4√ 3

L.H.S = R.H.S

Shortcut Trick

Ratio of CP for Fridge (F) and Washing Machine (WM) based on same SP:

CP_F × (100 + 15) = CP_WM × (100 − 24)

CP_F × 115 = CP_WM × 76 ⇒ CP_F : CP_WM = 76 : 115

Total ratio parts = 76 + 115 = 191 units.

191 units = Rs. 38,200 ⇒ 1 unit = Rs. 200.

Cost price of Washing Machine = 115 × 200 = Rs. 23,000.

∴ The correct answer is Rs. 23,000.

Alternate Method

Given: Total CP = Rs. 38,200, Profit on Fridge = 15%, Loss on Washing Machine = 24%, SP₁ = SP₂.

Formulas: SP = CP × (100 + P%) ÷ 100 | SP = CP × (100 − L%) ÷ 100

⇒ Let CP of Fridge be x and CP of Washing Machine be y.

⇒ x + y = 38,200

⇒ SP of Fridge = x × 1.15 and SP of Washing Machine = y × 0.76

⇒ 1.15x = 0.76y ⇒ x = (76 ÷ 115)y

⇒ (76 ÷ 115)y + y = 38,200

⇒ (191 ÷ 115)y = 38,200

⇒ y = (38,200 × 115) ÷ 191 = 200 × 115 = 23,000

∴ The correct answer is Rs. 23,000.

Additional Information

Two same-SP articles

When two items are sold at the same price, the ratio of their Cost Prices is inversely proportional to their Selling Price percentage (100+P% or 100-L%).

Profit and Loss Calculation

Always calculate Profit or Loss on the Cost Price unless specified otherwise in the question.

Given

AC = (5AB - 4) cm

BC = (4AB + 4)cm

AB + BC + AC = 90 cm

Formula used

Area of triangle = √{s(s -a) (s -b) (s - c)}

where s is semi perimeter of triangle = (a + b + c)/2

a, b, and c are sides of triangle

Calculation

let the side AB is x cm

AB + BC + AC = 90

⇒ x + (4x + 4) + (5x - 4) = 90

⇒ 10x = 90

⇒ x = 9

BC = 4(9) + 4

⇒ 36 + 4 = 40

AC = 5(9) - 4

⇒ 45 - 4 = 41

a = 9, b = 40 , c = 41

semi perimeter(s) = 90/2 = 45

Area of triangle = √{45 (45 - 9) (45 - 41) (45 - 40)}

⇒ √{45 × 36 × 4 × 5}

⇒ √{3 × 3 × 5 × 6 × 6 × 2 × 2 × 5}

⇒ 3 × 5 × 6 × 2

⇒ 180 cm²

∴ Area of triangle is 180 cm²

Given

$a-\frac{24}{a}=5$

To find

$a^2+\frac{64}{a^2}$

Calculation

$a-\frac{24}{a}=5$

⇒ (a² - 24)/a = 5

⇒ a² - 24 = 5a

⇒ a² - 5a - 24 = 0

⇒ a² - 8a + 3a - 24 = 0

⇒ a(a - 8) + 3(a - 8) = 0

⇒ (a + 3) (a - 8) = 0

a = -3, a = 8

so, (8)² + [64/(8)²]

⇒ 64 + (64/64)

⇒ 64 + 1

⇒ 65

∴  The value of $a^2+\frac{64}{a^2}$ is 65.

Given

Perimeter of triangle = 20 cm

Ratio of equal side to base = 3 ∶ 4

concept

Area of triangle = (1/2) × base × height

Area of triangle = √{s(s - a)( s -b)(s - c)}

where s is semi perimeter of triangle

s = (a + b + c)/2

where a, b and c are sides of triangle

Calculation

let the first side is 3x

second side is 4x

so, the third equal side will be 3x

3x + 4x + 3x = 20

⇒ 10x = 20

⇒ x = 2

sides are 6 cm i.e. (3 × 2); 8 cm i.e. (4 × 2) and 6 cm i.e. (3 × 2)

s = (6 + 8 + 6)/2

⇒ 20/2

⇒ 10

Area of triangle = √{10(10 - 6)(10 - 8)(10 - 6)}

⇒ √{10 × 4 × 2 × 4}

⇒ √{2 × 5 × 2 × 2 × 2 × 2 × 2}

⇒ 8√5

⇒ 8√5 = (1/2) × 8 × h

⇒ h = 2√5 cm

∴ The altitude of the triangle is 2√5 cm.

Shortcut TrickCalculation:

Ratio of equal side to base = 3 ∶ 4

Sum of all sides = Perimeter of triangle

⇒ 3x + 3x + 4x = 20

⇒ 10x = 20 

⇒ x = 2 cm

So, Equal sides = 3x = 3 × 2 = 6 cm

Base = 4x = 4 × 2 = 8 cm

Altitude of an isosceles triangle = 1/2 × √{4(equal side)² - (base)²}

⇒ 1/2 × √(4 × 62 - 82)

⇒ 1/2 × √80

⇒ 1/2 × 4√5 = 2√5 cm

∴ The correct answer is 2√5 cm.

Given

Radius of circle = Diagonal of square

Formula used

Area of circle = πr²

Area of square = (side)²

diagonal of square = √2 × side

Calculation

let the side of square is x cm

Area of square = (x)2 = 12 cm²

⇒ x = √12 cm

Now, diagonal of square = √2a = √24 cm

Radius of circle = √24 cm

Area pf circle = πr²

⇒ π(√24)²

⇒ 24π cm²

∴ The area of the circle is 24π cm².

Given                                                            

cot A + cosec A = 2             

To find

$\frac{9\tan A+16\ cosec\ A}{5\sin A+3\tan A}$

Identity used

cot A = cos A/sin A

cosec A = 1/sin A

cosec²A - cot²A = 1

(a² - b²) = (a - b)(a + b)

Calculation

cot A + cosec A = 2      ---- (1)

cosec2A - cot2A = 1

(cosec A - cot A)(cosec A + cot A) = 1

⇒ (cosec A - cot A) × 2 = 1

⇒ cosec A - cot A = 1/2      ---- (2)

subtract equation (2) from (1)

cot A + cosec A - cosec A + cot A = 2 - (1/2)

⇒ 2 cot A = (4 - 1)/2

⇒ 2 cot A = 3/2

cot A = 3/4

tan A = 4/3

cosec A = 5/4

sin A = 4/5

⇒ [9 × (4/3) + 16 × (5/4)]/[5 × (4/5) + 3 × (4/3)]

⇒ (12 + 20)/(4 + 4)

⇒ 32/8

⇒ 4

∴ The value of $\frac{9\tan A+16\ cosec\ A}{5\sin A+3\tan A}$ is 4

The correct answer is Rajasthan.

Key Points

• Chulia waterfall on the Chambal river in Chittorgarh district of Rajasthan.
• The Chuliya water is 5 km upstream of the Chambal river near Bhainsrorgarh.

Additional Information

• Some famous Waterfall of the World:
• Angel Waterfalls: Venezuela, with a height of 979 m and is the highest waterfall in the world.
• Victoria Waterfalls: it is on the course of the Zambezi river, which is located on the border of Zambia and Zimbabwe.
• Niagara Waterfalls: It is located on the border of the USA and Canada.
• The height of Niagara Falls is 57 m.

The correct answer is 1759.

Key Points

• The Battle of Bedara was fought on 25 November 1759 between the British and the Dutch Army.
• The Dutch army was decisively defeated by the British and after that, they left India and went to Indonesia.

Additional Information

• Dutch East India Company
• Cornelis-de-Hartmann was the first Dutch Citizen to reach India via Cape of Good Hope in 1596 AD.
• 1602 AD, the first Dutch Company United East India Company was created and its first permanent trading post in Indonesia.
• Dutch had a monopoly on the spice trade in India in the 17th century.
• First Dutch Governor: Pieter Both.
• In India they established the first factory in Muslipatnam in 1605, followed by Pulicat in 1610, Surat in 1616, Bimilipatam in 1641, and Chinasurah in 1653.
• The factory at Chinasurah was the headquarters for all the Dutch agencies and factories in Bihar, Bengal, Orissa, and Bangladesh.
• When they established a factory in Pulicat in 1610 it became their main centre of activities. It was known as Fort Geldria.
• The Battle of Bedara(1759) was fought between the English and Dutch armies in Bengal India.
• In this battle, the English forces defeated the Dutch Forces and helped the British East India Company to assert their supremacy in India.

The Correct Answer is West Bengal.

Key Points

• Neora Valley National Park is situated in the Kalimpong district, West Bengal.
• It was established in 1986.
• It spreads over an area of 88 km².
• The park reaches up to an elevation of over 3500 meters above sea level.
• It is characterized by tropical subtropical, temperate and alpine vegetation.
• The forests consist of rhododendron, bamboo, oak, ferns, sal, etc.

Additional Information

• West Bengal has six national parks -
• Buxa National Park,
• Gorumara National Park,
• Neora Valley National Park,
• Singalila National Park,
• Sunderban National Park,
• Jaldapara National Park.

The correct answer is 12.7%.

• The government proposes to spend Rs 30,42,230 crore in 2020-21, which is 12.7% higher than the revised estimate of 2019-20.
• The government has assumed a nominal GDP growth rate of 10% (i.e., real growth plus inflation) in 2020-21.
• The nominal growth estimate for 2019-20 was 12%.

Source: Click

Additional Information

• The Union Budget was structured on the overall theme of “Ease of Living".
• The nominal growth rate of GDP is expected to be 10% in 2020-21.
• A total of Rs. 64,180 crores to be spent on healthcare.
• Defence gets Rs 3.37 lakh crore as the defence budget.
• The allocation for higher education is Rs. 39466.52 crores, up from Rs. 38317.01 crore the previous year.
• As compared to the previous year, there has been a rise of around Rs.1149.51 crore.
• A new scheme named, Education Quality Up-gradation and Inclusion Program (EQUIP), has been envisaged by the Department of Higher Education, MHRD.
• TEQIP, the World Bank assisted Technical Education Quality Improvement Program, has been allocated Rs. 650 crore.

The correct answer is Gujarat

• Gujarat government has announced to set up India’s first Lithium refinery which will process Lithium ore to produce battery-grade material.
• Manikaran Power Limited, one of the country’s largest power trading and renewable energy company will be investing over Rs 1,000 crore to set up this refinery.
• The company are currently exploring a couple of places in Sanand and Dholera to set up this refinery.

Additional Information

• Lithium is a rare element not usually found in India.
• The company will be importing Lithium ore from Australia and will be processing it in a refinery.
• In 2019, Manikaran Power had collaborated with Australian firm Neometals to tap the Mount Marion Lithium mine in Western Australia.
• TDS Lithium-Ion Battery Gujarat Private Ltd is India’s first Lithium-ion battery manufacturing plant in Gujarat which is being set up jointly between Toshiba Corporation, DENSO Corporation and Suzuki Motor Corporation.
• The foundation stone for the Rs 1135 crore plant was laid in September 2017 by Prime Minister Narendra Modi and his Japanese counterpart Shinzo Abe.
• The plant is expected to become operational by January or February 2021.