SSC CHSL 2020 Official Paper 4 (Held On: 13 April 2021 Shift 1) (Previous Year Paper)

The correct answer is 'BCAD'.

Key Points 

• The given sentence is an example of a Sentence Jumble.
• We know that the first statement of a sentence jumbled question is usually an independent general statement, a noun, a universal fact, starting of an incident, or it starts with 'most' or 'once'.
• Sentence B in the given question is the starting of an incident. Sir Rowland de Boys died and entrusted his son to take care of his eldest brother Oliver.
• Sentence C will be the next sentence as Oliver mistreated the Boy (Son of Rowland de Boys i.e. Orlando).
• Sentence A will be the next sentence because Orlando's father Rowland de Boys was famous for his gentle manners and fine appearance. This made Oliver jealous and he wished to destroy Rowland's image.
• Lastly, Sentence D will be used.
• Thus, the sequence becomes:
• B: When Orlando's father, Sir Rowland de Boys, died, he left his youngest son to the care of his eldest brother Oliver.
• C: Oliver however proved an unworthy brother and neglected the boy.
• A: As time passed, he grew jealous of his brother's fine appearance and gentle manners, and at last, he wished to destroy him.
• D: It was Oliver who persuaded his brother to wrestle with the famous man who had killed so many others in days past, and it was this cruel brother's neglect of him that made Orlando say that he wished to die.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Sequence: When Orlando's father, Sir Rowland de Boys, died, he left his youngest son to the care of his eldest brother Oliver. Oliver however proved an unworthy brother and neglected the boy. As time passed, he grew jealous of his brother's fine appearance and gentle manners, and at last, he wished to destroy him. It was Oliver who persuaded his brother to wrestle with the famous man who had killed so many others in days past, and it was this cruel brother's neglect of him that made Orlando say that he wished to die.

The correct answer is 'Mother told Megha to leave for her office then.'

Key Points

• The given sentence is an example of an imperative sentence.
• Let's look at the rules of transformation:
• While changing the narration of an imperative sentence, we need to follow the given steps:
• The conjunction 'to' should be used in place of a comma (,) and inverted commas (“ ”).
• 'said to' will be changed into 'told'.
• 'to' is followed by 'V1'.
• The second person 'your' will be changed into the third person 'her' i.e. according to the object of the reporting verb.
• Lastly, the adverb 'now' will be changed into 'then'.
• Example: 
• The queen said to his servant, "Cook me some delicious food today." (Direct Speech)
• The queen ordered his servant to cook her some delicious food that day. (Indirect Speech)
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

Correct Sentence: Mother told Megha to leave for her office then.

Hinglish 

• Imperative sentence का narration बदलते समय, हमें दिए गए steps का पालन करना होगा:
• Conjunction 'to' का प्रयोग comma (,) और inverted commas (" ") के बजाय किया जाता है।
• 'Said to' को 'ordered/ requested/ advised/ urged/ forbade, etc.' में बदल दिया गया है।
• 'to' के बाद 'v1' आता है।
• The second person 'your' को third person 'her' में बदल दिया जाता है यानी reporting verb के object के अनुसार।
• Example: 
• The queen said to his servant, "Cook me some delicious food today." (Direct Speech)
• The queen ordered his servant to cook her some delicious food that day. (Indirect Speech)
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 4 है।

Additional Information

• Change in adverbs and determines in Direct To Indirect Speech.

 

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

The correct answer is 'Secluded'.

Key Points

• The word 'Isolated' means 'not near to other places (अन्य स्थानों के पास नहीं)'.
• The synonyms of the word 'Isolated' are "cloistered, covert, hidden, quiet, remote, retired, secluded, secret, sheltered".
• From the synonym of the given word, we can say that the word 'Secluded' is the most similar in meaning.
• The word 'Secluded' means 'quiet, private, and not near people, roads, or buildings (शांत, निजी, और लोगों, सड़कों या इमारतों के पास नहीं)'.

Hence, the correct answer is option 2. Let's see the meaning of other given options:-

Additional Information

• The antonym of the word 'Isolated' is "accessible".
• Example of 'Isolated' in a sentence:
• You have brought the resources of the modern world to that isolated village.

The correct answer 'No improvement'

Key Points

• The given sentence is grammatically correct. It does not need any improvement.
• The present continuous tense is used to talk about actions and situations that are in progress at the moment of speaking.
• The following time expressions are commonly used with the present continuous tense: today, at present, at the moment, still, now, etc.
• Example: The kids are watching TV.
• In the given sentence we are talking about an action taking place at the time of speaking.
• Thus we use the present continuous form of the verb.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​

Correct Sentence: It was cloudy in the morning but the sun is shining now.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से सही है। इसमें किसी सुधार की जरूरत नहीं है।
• 'Present Continuous Tense' का उपयोग उन कार्यों और स्थितियों के बारे में बात करने के लिए किया जाता है जो बोलने के समय प्रगति पर हैं।
• निम्नलिखित time expression आमतौर पर present continuous tense के साथ उपयोग किए जाते हैं: today, at present, at the moment, still, now, etc.।
• Example: The kids are watching TV.
• दिए गए वाक्य में हम बोलने के समय होने वाली एक क्रिया के बारे में बात कर रहे हैं। इस प्रकार हम क्रिया के वर्तमान निरंतर रूप का उपयोग करते हैं।
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 1 है।

Additional Information

• The following phrases are followed by past indefinite/simple tense:
• It's high time, It's Time, It's about time, etc.
• Example: It's high time I started preparing for the exam in Hindi Literature.

The correct answer is 'Cartographer'.

Key Points 

• The most appropriate meaning of the given group of words is 'Cartographer'.
• Cartographer: someone who makes or draws maps. (कोई व्यक्ति जो मानचित्र बनाता या बनाता है)
• Example: The final word should be given to a cartographer.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 3.

​

Correct Answer: Cartographer*.*

Additional Information 

• Let's look at the meaning of other words given in the Options:

The incorrect spelling is "Endevour".

Key Points

• Among the given options,'Endevour' is an incorrectly spelt word.
• Its correct spelling is 'Endeavour'.
• It means 'to try to do something (कुछ करने की कोशिश करना)'.
• Example: Engineers are endeavoring to locate the source of the problem.
• Therefore, as per the points mentioned above, we find that the correct answer is option 2.

Correct Answer: Endeavour

Additional Information

Let's look at the meaning of other words given in the Options:

The correct answer is 'was happy with'. 

Key Points

• The most appropriate option to substitute the underlined segment in the given sentence is 'was happy with'.

• We know that if two subjects are connected with 'neither...nor', 'either...or, 'not only...but also, 'or', etc. then the verb should be used according to the nearest subject of the sentence.

• Example:

• Either Rohit or Rakesh have come.

• Either Rohit or Rakesh has come.

• Therefore, as per the points mentioned above, we find that the correct answer is Option 2. 

​Correct Sentence: Neither the parents nor the child was happy with the result.

Key Points

• दिए गए वाक्य में रेखांकित खंड को प्रतिस्थापित करने के लिए सबसे उपयुक्त विकल्प 'was happy with' है।

• हम जानते हैं कि यदि दो विषय 'neither...nor', 'either...or', 'not only...but also', 'or' आदि से जुड़े हों क्रिया का प्रयोग वाक्य के निकटतम विषय के अनुसार करना चाहिए।

• Example:

• Either Rohit or Rakesh have come.

• Either Rohit or Rakesh has come.

• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 2 है।

Additional Information

• When two subjects are connected with 'as well as, with, along with, together with, in addition to, except, rather than, accompanied by, nothing but, etc.', then the helping verb should be used according to the first subject of the sentence.

• Example:

• The Captain along with the sailors were drowned. 

• The Captain along with the sailors was drowned.

The correct answer is 'if you went'. 

Key Points

• The given sentence is grammatically incorrect.

• Here, 'if you had gone' should be used instead of 'if you went'.

• The structure of these kinds of sentences is "If+Subject+had+V3, S+would+have+V3".​

• Example:

• If I had seen you, I would have stopped my car.

• If I had seen you, I would had stopped my car.

• Therefore, as per the points mentioned above, we find that the correct answer is Option 1. 

​

Correct Sentence: That man would have attacked you, if you had gone that way.

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।

• यहां, 'if you went' के बजाय 'if you had gone' का इस्तेमाल किया जाना चाहिए।

• इस तरह के वाक्यों की संरचना है "If+Subject+had+V3, S+would+have+V3"।

• Example:

• If I had seen you, I would have stopped my car.

• If I had seen you, I would had stopped my car.

• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 1 है।

Additional Information

• Third Conditional: The third conditional, also called the "Past Unreal" conditional is used to describe unreal situations in the past. It is often used to express regret about the past because the hypothetical situation that it describes is now impossible as a consequence of another past action.
• The structure of it as follows:
• If + past perfect, would + have + past participle. 
• Example: If we had won, I would have been happy.

The correct answer is 'Retrospection'.

Key Points

• The most appropriate meaning of the given group of words is 'Retrospection'.
• Retrospection: the act of thinking now about something in the past (अतीत में किसी चीज के बारे में सोचने की क्रिया)
• Example: Retrospection just isn't in his nature.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​

Correct Answer: Retrospection.

Additional Information

• Let's look at the meaning of other words given in the Options:

The correct answer is 'Discuss private matters in front of others'.

Key Points

• Here, the most appropriate meaning of the given idiom 'Wash your dirty linen in public' is 'Discuss private matters in front of others' in the given question.
• Wash your dirty linen in public: People who wash their dirty linen in public discuss, or allow to be discussed in public, matters that should be kept private (जो लोग अपने गंदे लिनन को सार्वजनिक रूप से धोते हैं, उन मामलों पर चर्चा करते हैं, या सार्वजनिक रूप से चर्चा करने की अनुमति देते हैं, जिन्हें निजी रखा जाना चाहिए)
• Example: It always makes me uncomfortable when John starts going into all his personal problems whenever our friends get together. I just wish he wouldn't wash his dirty linen in public like that.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​

Correct Answer: Discuss private matters in front of others.

 Additional Information

• Let's look at some idioms of the word 'bend':

The correct answer is 'conveys a great deal'.

Key Points

• In the given sentence 'speaks volumes' is an idiomatic expression.
• If something speaks volumes, it makes an opinion, characteristic, or situation very clear without the use of words.
• Example: She said very little but her face spoke volumes.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

Correct Answer: conveys a great deal.

 Additional Information

• Let's look at some more idioms of the word 'keep':

The correct antonym is 'Warm'.

Key Points

• The word 'Frigid' means '(of weather conditions or the conditions in a room) extremely cold ((मौसम की स्थिति या एक कमरे की स्थिति) बेहद ठंडा)'.
• The antonyms of the word 'Frigid' are 'ardent, blazing, boiling, broiling, burning, fervent, fervid, fiery, warm, glowing, hot'.
• From the antonyms of the given word, we can say that the word 'Warm' is the opposite in meaning.
• The word 'Warm' means 'having or producing a comfortably high temperature, although not hot (आराम से उच्च तापमान होना या उत्पादन करना, हालांकि गर्म नहीं)'.

Hence, the correct answer is option 4. Let's see the meaning of other given options:-

Additional Information

• The synonyms of the word 'Frigid' are 'algid, arctic, bitter, bone-chilling, chill, chilly, cold, coldish, cool, coolish, freezing, frosty, gelid, glacial, ice-cold, icy, nipping, nippy, numbing, polar, shivery, snappy, wintry'.
• Example of 'Frigid' in a sentence:
• Few plants can grow in such a frigid environment.

The correct answer is 'Appear'.

Key Points 

• The word 'Emerge' means 'to appear by coming out of something or out from behind something (किसी चीज के पीछे से या किसी चीज के पीछे से बाहर आकर प्रकट होना)'.
• The synonyms of the word 'Emerge' are "appear, come out, show up, turn up".
• From the synonym of the given word, we can say that the word 'Appear' is the most similar in meaning.
• The word 'Appear' means 'to start to be seen or to be present (दिखना या उपस्थित होना शुरू करना)'.

Hence, the correct answer is option 4. Let's see the meaning of other given options:-

Additional Information

• The antonyms of the word 'Emerge' is "disappear".
• Example of 'Emerge' in a sentence:
• She emerged from the sea, blue with cold.

The correct answer is 'CADB'.

Key Points

• The given sentence is an example of a Sentence Jumble.
• We know that the first statement of a sentence 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 C in the given question is the starting of an incident. It tells us that the merchant was attacked by a highway robber.
• Sentence A will be the next sentence because a robber always demands money/ valuables from the person he confronts.
• Sentence D will be the next sentence because it is connected with Sentence A.
• Lastly, Sentence B will be used.
• Thus, the sequence becomes:
• C: A merchant was confronted by a highway robber.
• A: The robber demanded all his valuables or threatened to kill him.
• D: The merchant was scared to death.
• B: But he put up a brave front and challenged the robber.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​

Correct Sequence: A merchant was confronted by a highway robber. The robber demanded all his valuables or threatened to kill him. The merchant was scared to death. But he put up a brave front and challenged the robber.

The correct answer is 'concerned'. 

Key Points

• The most appropriate word to fill in the given blank is 'concerned'.
• Here, 'as far as he is concerned' is a phrase.
• It means 'in a particular person's opinion (किसी विशेष व्यक्ति की राय में)'.
• We can say 'as far as I'm concerned' to indicate that we are giving our own opinion. 
• Example: As far as I'm concerned the officials incited the fight.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

Correct Sentence: As far as he is concerned, he will love to attend the party.

Additional Information

• Let's look at the meaning of other words given in the options:

The correct answer is 'Taru was fined by a traffic policeman for jumping the red light'.

Key Points 

• The given sentence is in Active Voice. As per the given question we have to change it into Passive Voice.
• The structure of the given sentence as follows:
• Subject + V2+ Object. (Active Voice)
• Subject (objective case)+ was/were + V3 + Object (subjective case). (Passive Voice)
• Example:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• The subject of the given sentence is 'A traffic policeman'.​​
• The object of the given sentence is 'Taru'.
• The subject will be put in place of the object and the object will be put in place of the subject.
• And 'fined' will be changed into 'was fined'.
• Lastly, the 'by' preposition will be added.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

Correct Sentence: Taru was fined by a traffic policeman for jumping the red light.

Hinglish

• ​दिया गया वाक्य Active Voice में है। दिए गए प्रश्न के अनुसार हमें इसे Passive Voice में बदलना है।
• दिए गए वाक्य की संरचना इस प्रकार है:
• Subject + V2+ Object. (Active Voice)
• Subject (objective case)+ was/were + V3 + Object (subjective case). (Passive Voice)
• उदाहरण:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• दिए गए वाक्य का विषय 'A traffic policeman' है।​
• दिए गए वाक्य का उद्देश्य 'Taru' है।
• Object के स्थान पर Subject रखा जाएगा और Subject के स्थान पर Object रखा जाएगा।
• और 'fined' को 'was fined' में बदल दिया जाएगा।
• अंत में, 'by' preposition जोड़ा जाएगा।
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 4 है।

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:

The incorrectly spelled word is 'Greive'. 

Key Points

• In the given question,'greive' is an incorrectly spelled word.
• Its correct spelling is 'Grieve'.
• It means 'to feel or express great sadness, especially when someone dies (बहुत दुख महसूस करना या व्यक्त करना, खासकर जब कोई मर जाता है)'.
• Example: He is still grieving over his wife.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.

Correct Answer: Greive.

 Additional Information

Let's look at the meaning of other words given in the Options:

The correct answer is 'attempt'.

Key Points

• The most appropriate option to fill in the given blank is 'attempt'.
• Here, 'make an attempt' is an idiomatic expression.
• It means 'to try (प्रयास करने के लिए)'.
• Example: We both made an attempt to be friendly despite recent arguments.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

Correct Sentence: She made an attempt to break the record for long jump.

Additional Information

• Let's look at the meaning of other words given in the Options:

The correct antonym is 'Compress'.

Key Points

• The word 'Stretch' means 'to cause something to reach, often as far as possible, in a particular direction (किसी विशेष दिशा में, जहाँ तक संभव हो, किसी चीज़ तक पहुँचने के लिए)'.
• The antonyms of the word 'Stretch' are 'decrease, diminish, lessen, reduce, compress, thicken'.
• From the antonyms of the given word, we can say that the word 'Compress' is the opposite in meaning.
• The word 'Compress' means 'to press something into a smaller space (किसी चीज को छोटी जगह में दबाने के लिए)'.

Hence, the correct answer is option 3. Let's see the meaning of other given options:-

Additional Information 

• The synonyms of the word 'Stretch' are 'drag (out), draw out, elongate, extend, lengthen, outstretch, prolong, protract'.
• Example of 'Stretch' in a sentence:
• She stretched out her hand and helped him from his chair.

The correct answer is 'based at'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'based on' should be used instead of 'based at'.
• In the given sentence 'based on something' is a phrasal verb.
• If you base something on facts or ideas, you use those facts or ideas to develop it.
• Example: The film is based on a short story by Thomas Mann.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 3.

​

Correct Sentence: Employees were given incentives based on their performance. 

Hinglish

• दिया गया वाक्य व्याकरण की दृष्टि से गलत है।
• यहाँ 'based at' के स्थान पर 'based on' का प्रयोग किया जाना चाहिए।
• दिए गए वाक्य में 'based on something' एक phrasal verb है।
• यदि आप किसी चीज़ को तथ्यों या विचारों पर आधारित करते हैं, तो आप उसे विकसित करने के लिए उन तथ्यों या विचारों का उपयोग करते हैं।
• Example: The film is based on a short story by Thomas Mann.
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 3 है।

 Additional Information

• What are prepositions?
• Prepositions are function words that indicate how a noun or noun phrase relates to the rest of the sentence.
• Some prepositions, such as in, on, after, or since, express temporal or spatial relationships.
• Example: The library is on the north side of the quad.
• In other cases, the relationship is more abstract and the best preposition to use may depend on the words around it.
• These are known as “dependent prepositions,” and they do not follow any clear pattern.

The correct answer is 'when'.

Key Points

• The given passage is about the author's travel in 'LANSA Airlines flight 508'.
• In the first blank the most appropriate conjunction is 'when'.
• We use when as a conjunction meaning ‘at the time that’.
• The clause with when is a subordinate clause (sc) and needs a main clause (mc) to complete its meaning.
• If the when-clause comes before the main clause, we use a comma.
• Example: (SC)When I was young, (MC)there were no houses here.
• Therefore, as per the points mentioned above, we find that the correct answer is **Option 4.**​

So the complete passage is:- I have always enjoyed flying. I wasn't afraid (1) when my mother and I boarded LANSA Airlines flight 508. Some people had (2) given up flying LANSA because of a recent crash. But (3) mother and I had a good reason for flying: I had just (4) finished secondary school in Lima, and we wanted to (5) spend Christmas with my father in our jungle hut. 

Additional Information

• What is a Conjunction? 
• A conjunction is a word that connects or joins clauses, words, phrases together in a sentence.
• Conjunctions are used to coordinate words in a sentence.
• Three types of conjunctions are Coordinating Conjunctions, Subordinating Conjunctions, Correlative Conjunctions.

The correct answer is 'given up'.

Key Points

• The given passage is about the author's travel in 'LANSA Airlines flight 508'.
• In the second filler, the most appropriate phrasal verb is 'given up'.
• It means 'to stop doing or to stop having something (कुछ करना बंद करना)'.
• Example: He gave up jogging after his heart attack.
• As per the second line of the given passage, LANSA Airlines has crashed recently. Because of that people avoid using the airline.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

So the complete passage is:- I have always enjoyed flying. I wasn't afraid (1) when my mother and I boarded LANSA Airlines flight 508. Some people had (2) given up flying LANSA because of a recent crash. But (3) mother and I had a good reason for flying: I had just (4) finished secondary school in Lima, and we wanted to (5) spend Christmas with my father in our jungle hut. 

Additional Information

• Let's look at the meaning of other phrasal verbs given in the Options:

The correct answer is 'mother'.

Key Points

• The given passage is about the author's travel in 'LANSA Airlines flight 508'.
• The first line of the given passage is "I wasn't afraid when my mother and I boarded LANSA Airlines flight 508...".
• This line clearly tells us that author traveled with his mother in 'LANSA Airlines flight 508'.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

​

So the complete passage is:- I have always enjoyed flying. I wasn't afraid (1) when my mother and I boarded LANSA Airlines flight 508. Some people had (2) given up flying LANSA because of a recent crash. But (3) mother and I had a good reason for flying: I had just (4) finished secondary school in Lima, and we wanted to (5) spend Christmas with my father in our jungle hut.

The correct answer is 'finished'.

Key Points

• The given passage is about the author's travel in 'LANSA Airlines flight 508'.
• In filler 4, the most appropriate verb is 'finished'.
• The sentence "I had just (4) ______ secondary school in Lima..." is in the past perfect tense.
• The past perfect tense is for talking about something that happened before something else.
• The structure of past perfect tense is "Subject + HAD (auxiliary verb- have) + V3 (third form of main verb – past participle)". 
• Example: I had bought a phone before you came here.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​

So the complete passage is:- I have always enjoyed flying. I wasn't afraid (1) when my mother and I boarded LANSA Airlines flight 508. Some people had (2) given up flying LANSA because of a recent crash. But (3) mother and I had a good reason for flying: I had just (4) finished secondary school in Lima, and we wanted to (5) spend Christmas with my father in our jungle hut.

The correct answer is 'spend'.

Key Points

• The given passage is about the author's travel in 'LANSA Airlines flight 508'.
• In the fifth filler, the most appropriate word is 'spend'.
• Here, it means 'to use time doing something or being somewhere (कुछ करने या कहीं होने के समय का उपयोग करने के लिए)'.
• Example: I think we need to spend more time together.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​

So the complete passage is:- I have always enjoyed flying. I wasn't afraid (1) when my mother and I boarded LANSA Airlines flight 508. Some people had (2) given up flying LANSA because of a recent crash. But (3) mother and I had a good reason for flying: I had just (4) finished secondary school in Lima, and we wanted to (5) spend Christmas with my father in our jungle hut. 

Additional Information

• Let's look at the other meanings given in the Options:

The correct mirror image of the given combination when the mirror is placed at 'PQ' is shown below:

Hence, ‘option 4’ is the correct answer.

The logic is:

6 x 3 = 18 and 6 x 7 = 42

Similarly,

8 x 3 = 24 and 8 x 7 = 56

Hence, ‘24 : 56’ is the correct answer.

The logic is:

Indonesia : Jakarta → Jakarta is the capital of Indonesia.

Similarly,

Canada : ? → Ottawa is the capital of Canada.

Hence, ‘Ottawa’ is the correct answer.

Additional Information

The logic followed here is:

Sum of all numbers = 40

Given: {5, 15, 20}

5 + 15 + 20 = 40

Option 1: {24, 8, 18}

= 24 + 8 + 18

= 50 ≠ 40

Option 2: {10, 13, 17}

= 10 + 13 + 17

= 40

Option 3: {4, 14, 24}

= 4 + 14 + 24

= 42 ≠ 40

Option 4: {9, 14, 19}

= 9 + 14 + 19

= 42 ≠ 40

Hence, the correct answer is "{10, 13, 17}".

Indians that are either Athletes or Olympians but NOT both is shown below:

Number of Indians that are either Athletes or Olympians but NOT both = 10 + 3 + 2 = 15

Hence, ‘15’ is the correct answer.

The total number of triangles in the given figure is shown below:

 

Hence '16' is the correct answer.

The option that follows the manner in which the paper is folded and punched is shown below:

Hence, ‘option 3’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Here letters of the word at odd position are coded according to the equivalent opposite letter of a particular letter of the word.

Similarly,

Hence, ‘WFHLYBB’ is the correct answer.

The logic is:

(23, 4, 92) → 23 × 4 = 92

Similarly,

(29, 7, 203) → 29 × 7 = 203

Hence, ‘(29, 7, 203)’ is the correct answer.

The logic is:

4 × 2 - 1 = 8 - 1 = 7

7 × 2 - 3 = 14 - 3 = 11

11 × 2 - 5 = 22 - 5 = 17

17 × 2 - 7 = 34 - 7 = 27

27 × 2 - 9 = 54 - 9 = 45

45 × 2 - 11 = 90 - 11 = 79

Hence, ‘79’ is the correct answer.

The option in which the given figure is embedded when rotation is NOT allowed is shown below:

Hence, ‘option 1’ is the correct answer.

According to the alphabetical positions of the letters,

The pattern followed here is:

At first, letters are replaced according to the equivalent opposite letter of a particular letter of the word.

Similarly,

Hence, ‘87397’ is the correct answer.

The least possible Venn diagram is:          

Conclusions:

I. All gloves are scales. → False (As, there is no definite relation between gloves and scales. Hence, false)

II. Some gloves are scales. → False (As, there is no definite relation between gloves and scales. Hence, false)

III. Some scales are routers. → True (All combs are scales and Some routers are combs → Some scales are routers)

IV. All routers are scales. → False (All combs are scales and Some routers are combs → Some routers are scales)

Hence, only conclusion III follows.

Given sequence: Q _ _ R R K Z _ _ K Z R T _ _ R

By checking options and substituting accordingly.

1. K Z R S K Z → Q K Z R / R K Z R / S K Z R / T K Z R.

   ♦   Here 1^st letter is increased by +1.

          ♦   Q + 1 = R; R + 1 = S; S + 1 = T

2. Q Z R S P R → Q Q Z R / R K Z R / S K Z R / T P R R
3. K Z R P R Z → Q K Z R / R K Z R / P K Z R / T R Z R
4. Q R Z S P R → Q Q R R / R K Z Z / S K Z R / T P R R

   ♦  Option (1) gives a pattern of Q K Z R / R K Z R / S K Z R / T K Z R.

Hence, ‘K Z R S K Z’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

Hence, ‘ZFPRIN’ is the correct answer.

The figure that will come next in the series is shown bellow:

Figures are moving in an anti-clockwise direction at an angle of 90º. Symbols change as the pattern is shown above. The first symbol changes in second figure, the second symbol changes in third figure, the third symbol changes in fourth figure, so again the first symbol will change in fifth figure.

Hence, 'option 3' is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

1. 

First and Third letters are equivalent opposite letters of each other, but The equivalent opposite letter of B is Y and not V.

2. 

First and Third and Second and Fourth letters are equivalent opposite letters of each other.

3. 

First and Third and Second and Fourth letters are equivalent opposite letters of each other.

4. 

First and Third and Second and Fourth letters are equivalent opposite letters of each other.

Hence, ‘GBTV’ is the odd one out. 

Alternate MethodThe logic followed here is:

Except option 1, sum of the place value of the letter of all the options is 54.

Option 1 → GBTV → 7 + 2 + 20 + 22 = 51

Option 2 → CGXT → 3 + 7 + 24 + 20 = 54

Option 3 → HDSW → 8 + 4 + 19 + 23 = 54

Option 4 → DJWQ → 4 + 10 + 23 + 17 = 54

Thus option 1 is odd one.

Hence, the correct answer is "Option 1".

By using the symbols in the table given below, we can draw the following family tree:

Clearly, the Lady is Mother-in-law of Sukanya.

Hence, ‘Mother-in-law’ is the correct answer.

The logic is:

Car : Truck → Car and Truck are name of Vehicles.

Similarly,

Chair : Bench → Chair and Bench are name of furniture.

Hence, ‘Chair : Bench’ is the correct answer.

Krishna gave 1/9 of his savings to his son, 3/4 of the remaining to his first daughter, and the rest to his second daughter.

Let the total savings of Krishna be Rs. a

Savings Krishna gave to his son = $a/9$

Remaining amount = $a - a/9$ = $8a/9$

Savings Krishna gave to his first daughter = $(8a/9)(3/4)$= $2a/3$

Savings Krishna gave to his second daughter = $8a/9 - 2a/3$ = $2a/9$

If the first daughter received Rs. 880 more than the second one

According to question:

$2a/ 3 - 2a/9 = 880$

⇒ $(6a - 2a)/9 = 880$

⇒ $4a/9 = 880$

⇒ a = $(880 × 9)/4$

⇒ a = 1980

Amount of money the son got = a/9 = 1980/9 = 220

Hence, ‘220’ is the correct answer.

The logic is:

1. 678 → 678 is divisible by 3
2. 234 → 234 is divisible by 3
3. 345 → 345 is divisible by 3
4. 589 → 589 is not divisible by 3

Hence, ‘589’ is the odd one out.

The description is as follows:

All words except 'Ridiculous' are synonyms of each other. Gorgeous, Exalted and August means something that is attractive or impressive.

Hence, ‘Ridiculous’ is the odd one out.

As 3 is the common face on both the dice, keeping it constant and then rotating in clockwise direction, we get the faces opposite to each other, which is shown below:

Clearly, '5' will be at the top if '6' is at the bottom.

Hence, ‘5’ is the correct answer.

1. ×, +, ÷, −

Given equation: 216 * 6 * 8 * 64 * 48 = 500

After replacing the ‘*’ by the symbols given in the option, we get:

L.H. S = 216 × 6 + 8 ÷ 64 – 48

= 1296 + 0.125 – 48

= 1296.125 – 48

= 1248.125 ≠ R.H.S

2. ÷, +, ×, −

Given equation: 216 * 6 * 8 * 64 * 48 = 500

After replacing the ‘*’ by the symbols given in the option, we get:

L.H. S = 216 ÷ 6 + 8 × 64 – 48

= 36 + 512 – 48

= 548 – 48

= 500 = R.H.S

3. ÷, −, ×, +

Given equation: 216 * 6 * 8 * 64 * 48 = 500

After replacing the ‘*’ by the symbols given in the option, we get:

L.H. S = 216 ÷ 6 - 8 × 64 + 48

= 36 – 512 + 48

= 84 – 512

= -428 ≠ R.H.S

4. ×, +, −, ÷

Given equation: 216 * 6 * 8 * 64 * 48 = 500

After replacing the ‘*’ by the symbols given in the option, we get:

L.H. S = 216 × 6 + 8 - 64 ÷ 48

= 1296 + 8 – 1.34

= 1304 – 1.34

= 1302.66 ≠ R.H.S

Hence, ‘÷, +, ×, −’ is the correct answer.

Select the correct option that indicates the arrangement of the given places in a logical and meaningful order.

3. Dehradun
4. Agra
5. Bhopal
6. Nagpur
7. Hyderabad
8. Madurai

Name of cities from North to South in India.

Hence, ‘3, 6, 4, 2, 1, 5’ is the correct answer.

Calculation:

Total production of sugar in 2014 and 2018 = (280 + 440)

⇒ 720

Total export of sugar in 2015 and 2019 = (220 + 380)

⇒ 600

Required Ratio = (720 : 600)

⇒ 6 : 5

∴  The ratio of the total production of sugar in 2014 and 2018 to the total export in 2015 and 2019 is 6 : 5

Calculation:

The smallest 6 digit number = 100000

⇒ 100000 ÷ 71

⇒ 1408 is quotient and 32 is remainder

Required number = 100000 - 32

⇒ 99968

required 6 digits number

99968 + 71

⇒  100039

∴ The least 6-digit number that is divisible by 71 is 100039

Given:

∠Q = 70° and ∠R = 55° 

PT is perpendicular to QR

Concept used:

The sum of all the three angles of triangle is 180° 

The angle made at the center is twice the angle made at the circumference on the same arc of a circle

Add the point O and R

Calculation:

In right angles triangle ΔPTQ  [PT ⟂ QR]

So, ∠PQT = 70° 

⇒ ∠QPT = 180° – (70° + 90°)

⇒ ∠QPT = 180° – 160° 

⇒ ∠QPT = 20° 

Also, In ΔPQR

⇒ ∠P = 180° – (70° + 55°)

⇒ ∠P = (180° – 125°)

⇒ ∠P = 55° 

Now,

∠POR = 2 × ∠PQR  [Angle at centre are doubled of angle at circumference]

∠POR = (2 × 70°)

⇒ ∠POR = 140° 

Then, 

In ΔPOR

⇒ PO = OR [radius]

So,

⇒ ∠OPR = ∠ORP [Angle opposite to equal sides are equal in length]

Now,

⇒ ∠OPR = (180° – ∠POR)/2

⇒ ∠OPR = (180° – 140°)/2

⇒ ∠OPR = (40/2)

⇒ ∠OPR = 20° 

Then,

⇒ ∠TPS = ∠QPR – (∠QPT + ∠OPR)

⇒ ∠TPS = 55° – (20° + 20°)

⇒ ∠TPS = 55° – 40° 

⇒ ∠TPS = 15° 

∴ The required value of ∠TPS is 15

Given:

a + b + c = 5 and a³ + b³ + c³ – 3abc = 18

Calculation:

a³ + b³ + c³ – 3abc = (a + b + c) [(a + b + c)² – 3(ab + bc + ca)]

⇒ 185 = 5 [5² – 3 × (ab + bc + ca)]

⇒ 185 = 5 [25 – 3 × (ab + bc + ca)]

⇒ 3 × (ab + bc + ca) = 25 – 37

⇒ 3 × (ab + bc + ca) = -12

⇒ ab + bc + ca = (-12/3)

⇒ -4

∴  The value of ab + bc + ac lies between -7 and -3

Shortcut TrickWe can solve the question by Value putting method.

Let the value of 'c' = 0

Now,

⇒ a + b = 5 and a³ + b³ = 185

By making 'c' zero, we now just have to find → 'ab'.

If,

⇒ a + b = k, then a³ + b³ = k³ - 3k × ab.

⇒ a³ + b³ = (5)³ - 3 × 5 × ab.

⇒ 185 = 125 - 15ab.

⇒ 15ab = 125 - 185

⇒ 15ab = -60

∴ ab = -4, which lies between -7 and -3.

Given:

Principal = Rs. 99,000

Rate of SI = $12\frac{1}{2}\%$

Time period = 9 months

Formula used:

SI = (P× R × T)/100

Where P = principal amount 

R = Rate of si

And T = time period

Calculation:

SI = (99,000 × 25/2 × 9/12)/100

⇒Rs. 928,125/100

⇒ Rs. 9281.25 

∴ SI is Rs. 9,281.25

Given:

Ratio of white mobile covers and black mobile covers = 4 : 7

Number of black mobile covers = 280

Calculation:

Let the ratio of white mobile covers and black mobile covers be 4x and 7x respectively

According to question

⇒ 7x = 280

⇒ x = 40

Now, Number of white mobile covers = 4x

⇒ (4 × 40)

⇒ 160

∴ Number of white mobile covers is 160

Calculation:

Sales turnover of all the companies in 2015-16 = (1250 + 1125 + 900 + 1220 + 1290)

⇒ 5785

Average sales turnover = 5785/5

⇒ 1157

Sales turnover of the companies A, C and E in 2014-15 = (1060 + 850 + 1080)

⇒ 2990

Average sales turnover = 2990/3

⇒ 996.66

Required percentage = [(1157 – 996.66)/996.66] × 100

⇒ (160.34/996.66) × 100

⇒ 16.08 ≈ 16

∴ Required percentage is 16

Given:

3u + 2v = 7 and uv = 2

Concept used:

(a + b)² = (a – b)² + 4ab

Calculation:

⇒ (3u + 2v)² = 7²

⇒ (3u – 2v)² + 4 × 3u × 2v = 49

⇒ (3u – 2v)² + 24uv = 49

⇒ (3u – 2v) = √ (49 – 24 × 2)

⇒ (3u – 2v) = √ 1

⇒ (3u – 2v) = +1 or -1

∴  The value of (3u - 2v) is 1

Given:

Selling Quantity of wheat = 92 kg

Gain on selling of wheat = SP of 12 kg wheat

Formula used:

CP = SP – Gain

Gain % = (Gain/CP) × 100

Calculation:

Let the selling price of each kg of wheat be Rs. x

SP of 92 kg wheat = Rs. 92x

SP of 12 kg wheat = Rs. 12x = Gain

CP = Rs. 92x – Rs. 12x

⇒ Rs. 80x

Now, Gain % = (12/80 × 100)

⇒ 15%

∴ His gain percentage is 15%

Given:

Cot θ = √2 + 1. 

Concept Used:

Cot θ = Base/Perpendicular

Cosec θ = Hypotenuse/Perpendicular

Sec θ = Hypotenuse/Base

Calculation:

Cot θ = B/P =  (√2 + 1)/1

By Pythagoras theorem, 

⇒ H2 = P2 + B2

⇒ H2 = 12 + (√2 + 1)2

⇒ H2 = 1 + 2 + 1 + 2√2

⇒ H2 = 4 + 2√2

Cosec θ × Sec θ

⇒ H/P × H/B

⇒ H2/BP

⇒ (4 + 2√2)/(√2 + 1) × 1

⇒ (4 + 2√2)/(√2 + 1)

⇒ [(√2 + 1) × (2√2)] / (√2 + 1)

⇒ 2√2

∴ The value of cosecθsecθ is 2√2

  

We know,

Cosec2θ = 1 + Cot2θ

Sec2θ = 1 + Tan2θ

So, Sec θ × Cosec θ

⇒ √(1 + tan2θ) × √(1 + Cot2θ)

⇒ √ [1 + {1/(√2 + 1)}2] × [1 + (√2 + 1)2] ....(i)

The value of 1/(√2 + 1)

⇒ 1× (√2 - 1) /(√2 + 1) × (√2 - 1)

⇒ (√2 - 1)/2 - 1

⇒ (√2 - 1)

Putting in equation (i)

⇒ √ [1 + {1/(√2 + 1)}2] × [1 + (√2 + 1)2]

⇒ √ [1 + (√2 - 1)2] × [1 + (√2 + 1)2]

⇒ √(4 - 2√2) × (4 - 2√2)

⇒ √16 - 8 = √8

⇒ 2√2

∴ The value of Cosecθsecθ is 2√2.

Given:

SP of an article = Rs. 372

Discount % = 25% and 38%

Formula used:

Discount = Marked price –  selling price

Calculation:

Let the marked price be x

⇒ x × (100 – 25/100) × (100 – 38/100) = 372

⇒ x × (75/100) × (62/100) = 372

⇒ x × (3/4) × (31/50) = 372

⇒ x = 800

Now, Marked price = Rs. 800

Then, Discount = Rs. (800 – 372)

⇒ Rs. 428

∴ Total discount is Rs. 428

Given:

Time taken to complete the work by A = 6 days

Time taken to complete the work by B = 8 days

Formula used:

Total work = Efficiency × Time

Calculation:

LCM of 6 and 8 = 24 units = Total work

Efficiency of A = 24/6 = 4 units/day

Efficiency of B = 24/8 = 3 units/day

Work done by A and B together for 3 days = (3 × 7) = 21 units

Remaining work = (24 – 21) units = 3 units

Efficiency of C = 3/2 units = 1.5 units/day

3/4 of the total work = (3/4) × 24 units

⇒ 18 units

Required time taken by B and C = 18 ÷ (3 + 1.5)

⇒ 4 days

∴ Required time taken is 4 days

Shortcut Trick

Divide the given equation 2x² − 6x = 1 by 2x to normalize the x term.

We get: x − 3 = 1/(2x) ⇒ x − 1/(2x) = 3.

Apply the square logic: (a − b)² = a² + b² − 2ab.

Result = 3² + 2 × (x) × (1/2x) = 9 + 1 = 10.

∴ The correct answer is 10.

Alternate Method

Given: 2x² − 6x = 1

Formula Used: (a − b)² = a² + b² − 2ab

Step-by-step Calculation:

⇒ 2x² − 6x = 1

⇒ 2x² − 1 = 6x

⇒ Dividing both sides by 2x:

⇒ (2x² / 2x) − (1 / 2x) = (6x / 2x)

⇒ x − 1/(2x) = 3

⇒ Now, squaring both sides:

⇒ (x − 1/(2x))² = 3²

⇒ x² + (1/2x)² − 2 × x × (1/2x) = 9

⇒ x² + 1/(4x²) − 1 = 9

⇒ x² + 1/(4x²) = 9 + 1

⇒ x² + 1/(4x²) = 10

∴ The correct answer is 10.

Additional Information

Algebraic Identity for Squares

(a − b)² = a² + b² − 2ab and (a + b)² = a² + b² + 2ab.

Reciprocal Identity Shortcut

If x − 1/x = k, then x² + 1/x² = k² + 2. If the coefficients are different, like ax − 1/bx = k, then a²x² + 1/b²x² = k² + 2(a/b).

Cubic Expansion

If x − 1/x = k, then x³ − 1/x³ = k³ + 3k.

Given:

 5sin2θ = 3(1 + cosθ)

Concept used:

a2 – b2 = (a + b)(a – b)

cosecθ = Hypotenuse/Perpendicular

Secθ = Base/Perpendicular

Calculation:

5sin2θ = 3(1 + cosθ)

⇒ 5(1 – cos²θ) = 3(1 + cosθ) 

⇒ 5(1 + cosθ)(1 – cosθ) = 3(1 + cosθ)

⇒ 5(1 – cosθ) = 3

⇒ 1 – cosθ = 3/5

⇒ cosθ = (1 – 3/5)

⇒ cosθ = 2/5

According to question

⇒ cosecθ + cotθ = (5/√21 + 2/√21)

⇒ 7/√21

⇒ 7/√7 × √3

⇒ $\sqrt{\frac{7}{3}}$

∴ The value of cosecθ + cotθ is $\sqrt{\frac{7}{3}}$

Given:

∠BEC = 125° and ∠EBD = 28° 

Calculation:

∠BEC + ∠BED = 180°.... ( linear pairs are complimentary)

⇒ 125° + ∠BED = 180°

⇒ ∠BED = 55°

In ΔDEB ,

∠DEB + ∠EBD + ∠BDE = 180° .....(Angle sum property)

⇒ 55° + 28° + ∠BDE = 180°

⇒83° + ∠BDE = 180°

⇒ ∠BDE = 97°

∠ BDE = ∠ BDC

Same segment theorem,

∠BAC = ∠BDC

⇒ ∠BAC = ∠BDC = 97°

∴ The measure of ∠BAC is 97°

Given:

AD = 15 cm and DC = 10 cm

Concept used:

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Calculation:

Let the value of CF be x cm

Now,

In ΔCDE and ΔCAB

⇒ CD/AC = CE/CB = DC/(AD + DC)

⇒ CD/AC = CE/CB = 10/(15 + 10)

⇒ CD/AC = CE/CB = 10/25

⇒ CD/AC = CE/CB = 2/5

Now,

In ΔCFE and ΔCDB

⇒ CF/CD = CE/CB = 2/5

Now,

⇒ x/10 = 2/5

⇒ 5x = 20

⇒ x = (20/5)

⇒ x = 4 cm

⇒ CF = 4 cm

∴ The length of CF is 4 cm

Given:

Average of electronic items sold in 2004, 2005, 2006 and 2007 = 18950

Average of electronic items sold in 2005, 2006, 2007 and 2008 = 21725

Number of items sold in 2008 = 12750

Concept used:

Sum of observations = Average × Number of observations

Calculation:

Total electronic items sold in 2004, 2005, 2006 and 2007 = 18950 × 4 

⇒ 75800

Total electronic items sold in 2005, 2006, 2007 and 2008 = 21725 × 4

⇒ 86900

Difference between 2008 and 2004 = (86900 – 75800)

⇒ 11100

Required number of items sold in 2004 = (12750 – 11100)

⇒ 1650

∴  The number of items sold in 2004 is 1650

Given:

Perimeter of Rhombus = 148 cm

One diagonal = 24 cm

Formula used:

 

Perimeter of Rhombus = 4 × side

Area of Rhombus = 1/2 × d1 × d2

where, d1 and d2 are diagonals of rhombus

Calculation:

Perimeter = 4 × side

⇒ 148 = 4 × side

⇒ side = 37 cm

In right angled triangle  ΔAOB,

⇒ AB² = AO² + OB²

⇒ (37)² = (12)² + OB²

⇒ 1369 = 144 + OB²

⇒ OB² = (1369 – 144)

⇒ OB² = 1225 cm²

⇒ OB = 35 cm

BD = 2 × OB

⇒ 2 × 35 cm

⇒ 70 cm

Area of Rhombus = (1/2 × 24 × 70) cm²

⇒ 840 cm²

∴ Area of Rhombus is 840 cm²

Given:

Total time of journey = 7 hrs

Speed of Ashok in first half = 24 km/h

Speed of Ashok in second half = 32 km/h

Formula used:

Distance = speed × time

Calculation:

Let total distance be 2x

Time₁ = Distance/speed

⇒ x/24 hrs

Time₂ = Distance/speed

⇒ x/32 hrs

Total time = (Time₁ + Time₂)

⇒ 7 = (x/24 + x/32)

⇒ 7 = (4x + 3x)/96

⇒ 7 = (7x/96)

⇒ x = 96 km

Total distance = 2x

⇒ (2 × 96)

⇒ 192 km

∴ Total distance covered by Ashok is 192 km

Given:

(cosecθ + cot θ)/(cosecθ – cotθ) = 7

Formula used:

Cos²θ = 1 – sin²θ 

Calculation:

(cosecθ  + cotθ)/(cosecθ – cotθ) = 7

⇒ (cosecθ + cotθ  = 7(cosecθ – cotθ)

⇒ 8cotθ  = 6 cosecθ 

⇒ (8cosθ)/sinθ  = 6/sinθ 

⇒ Cosθ = 3/4

⇒ Cos²θ = 9/16

⇒ Sin²θ = 1 – 9/16

⇒ Sin²θ = 7/16

⇒ (4sin²θ + 5)/(4sin²θ – 1) = (4 × 7/16 + 5)/(4 × 7/16 – 1)

⇒ (7/4 + 5)/(7/4 –1)

⇒ (27/4)/(3/4)

⇒ 9

∴ The value of  (4sin²θ + 5)/(4sin²θ – 1) is 9

Given:

Sides of right -angled triangle = 20√ 3 cm and 15√ 3 cm

Formula used:

Hypotenuse² = Perpendicular² + Base²

Perimeter of triangle = a + b + c

Calculation:

The height and base of a right angled- triangle be 20√ 3 cm and 15√ 3 cm respectively

For right angled triangle,

Hypotenuse² = Perpendicular² + Base²

⇒ Hypotenuse² = (20√3)² + (15√3)²

⇒ Hypotenuse² = (1200) + (675)

⇒ Hypotenuse² = 1875

⇒ Hypotenuse = 25√3

Perimeter of triangle = (20√3 + 15√3 + 25√3) cm

⇒ 60√3 cm

∴ Perimeter of triangle is 60√3 cm

Given:

Rita spends on house rent = 25%

On remaining income on food = 30%

Saving = Rs. 5250

Calculation:

Let the monthly salary of Rita be 100x

Amount spend on house rent = 25x

Remaining amount spend on food = 30% of 75x

⇒ 22.5x

Now, according to question

⇒ 100x – (25x + 22.5x) = 5250

⇒ 100x – 47.5x = 5250

⇒ 52.5x = 5250

⇒ x = 100

Her monthly income = Rs. (100 × 100)

⇒ Rs. 10000

∴ Her monthly income is 10000

Shortcut Trick⇒ 25% = (-1/4)

⇒ 30% = (-3/10)

If,

⇒ Income = 40x, then Saving = 21x

⇒ 21x = 5250

∴ x = 250

∴ Monthly Income = 40x = 40 × 250 = Rs. 10,000.

Calculation:

Number of students in section E = 14% of 300

⇒ 42

Let the number of boys and girls in section E be 4x and 3x respectively

⇒ 4x + 3x = 42

⇒ 7x = 42

⇒ Number of girls in section E = (42/7x) × 3x

⇒ 18

Total number of students in section B = 18% of 300

⇒ 54

Number of girls in section B = 54 – 26

⇒ 28

Required ratio = 28 : 18

⇒ 14 : 9

∴ Required ratio is 14 : 9

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

$\left(1\frac{1}{8}÷\frac{3}{4}\right)÷\left[\left(\frac{1}{2}:of1\frac{1}{2}\right)÷\left(3\frac{1}{2}:-1\frac{1}{4}\right):of\frac{3}{4}-\frac{3}{4}÷2\frac{1}{4}\right]:of\frac{3}{4}$

⇒ (9/8 ÷ 3/4) ÷ [(1/2 of 3/2) ÷ (7/2 – 5/4) of 3/4 – 3/4 ÷ 9/4] of 3/4

⇒ (9/8 × 4/3) ÷ [(3/4) ÷ (9/4) of 3/4 – 1/3] of 3/4

⇒ (3/2) ÷ [(3/4) ÷ 27/16 – 1/3] of 3/4

⇒ (3/2) ÷ [3/4 × 16/27 – 1/3] of 3/4

⇒ (3/2) ÷ [4/9 – 1/3] of 3/4

⇒ (3/2) ÷ [1/9] of 3/4

⇒ (3/2) ÷ 1/12

⇒ (3/2) × 12

⇒ 18

∴ The required value is 18

Calculation:

The total expenditure of the company in the year = (15 + 17.5 + 10 + 5 + 20 + 25 + 7.5)

⇒ 100

The expenditure on Research = 20

Required expenditure = 100/20

⇒ 5

∴ Required expenditure is 5

The correct answer is Itanagar.

• The Innovation Festival 2020 was celebrated in Itanagar.

Key Points

• The ‘Innovation Festival’ was celebrated at the Science Centre in Itanagar, Arunachal Pradesh.
• The festival is being organized by the Arunachal Pradesh State Council for Science & Technology in association with the National Innovation Foundation.
• The Festival is the first of its kind in the state.
• The aim of the festival is to promote the culture of innovation among all people of the state, especially in all the educational institutions.

The correct answer is Ctrl + Z.

• Ctrl + Z shortcut gives the command to undo the previous action.

Key Points

• Shortcuts in MS office:

The correct answer is Buffalo.

• Buffalo is made to race in the traditional sport called 'Kambala' in Karnataka.

Key Points

• Kambala:
• Buffaloes and their owners participate in the traditional Kambala race.
• The race takes place in the coastal districts of Dakshina Kannada and Udupi of Karnataka and Kasaragod of Kerala and north Kerala from November to March.
• The sport is sponsored by local Tuluva landlords and households.
• Kambala racetrack is mostly a slushy paddy field, and the buffaloes are driven by a whip-lashing farmer.

Additional Information

• Jalikattu:
• The sport is also known as eru thazhuvuthal.
• Bulls are being used in this sport and the format of track and race remains the same.

The correct answer is Gandhinagar.

• Gandhinagar hosted the 13^th Session of the Conference of Parties to the Convention on the Conservation of Migratory Species of Wild Animals (CMS COP 13).

Key Points

• Conference of Parties (COP):
• Gandhinagar hosted the 13^th Conference of Parties (COP) of the Convention on the Conservation of Migratory Species of Wild Animals (CMS).
• The theme of CMS COP13 was Migratory species connect the planet and we welcome them home.
• The mascot for CMS COP 13 was ‘Gibi – The Great Indian Bustard’.
• Convention on Conservation of Migratory Species (CMS) is in force since 1983, under the aegis of the United Nations Environment Programme.

Important Points

• The Great Indian Bustard is a critically endangered species and has been accorded the highest protection status under the Wildlife Protection Act, 1972.