SSC CHSL Previous Paper 28 (Held On: 19 Oct 2020 Shift 3) (Previous Year Paper)

The correct answer is 'his subscription yet'. 

Key Points

• The erroneous part 'his subscription yet' should be 'their subscription yet'.
• We know that 'his' is used when the noun it is referring to is singular.
• In the given question, 'some members' is plural. Therefore, a plural form of the possessive pronoun, 'their' should be used.
• Here, 'his' will be changed into 'their'.
• Therefore, the correct answer is Option 4. 
  

​

Correct Answer: There are some members who haven't paid their subscription yet.  

Additional Information

• Some verbs are proceeded by reflexive Pronoun:
• Average, Revenge, Present, Absent, Pride, Available, Acquit, Reconcile, Apply, etc.
• Example: The IAF's Canberra bomber squadrons too acquitted themselves better than their PAF counterparts with their daring strikes deep inside Pakistani territory.
• If we use an intransitive verb in a sentence then there is no need for a Direct object/ Reflexive Pronoun/ Verbs which we usually do for ourselves. Such kinds of 'Verbs' are:
• Complain, Shave, Shower, Keep, Stop, Behave, Pit, Remember, Down, etc.
• Example: Justin always shaves on Sunday.

The correct answer is 'CABD'. 

Key Points

• The given sentence is an example of Sentence Jumble.
• The first statement of a sentence jumbled question is usually an independent general statement, a noun, a universal fact, the starting of an incident, or it starts with 'most' or 'once'.
• In the given sentence, Part C will be the first sentence because it is an independent general statement. We know that it is one of the most common drinks in Asia.
• Part A will be the next sentence because it tells us the process of making tea.
• The next sentence will be Part B because Part A and Part B are connected. Part B further tells about tea making.
• Lastly, Part D will be used.
• Therefore, the correct answer is Option 4. ​

The correct answer is 'Despised'. 

Key Points

• The most appropriate antonym of the given word 'Revered' is 'Despised'.

• Let's look at the meanings and examples of the given words:

• | Revered | to very much respect and admire someone or something | Nelson Mandela is revered for his brave fight against apartheid. | | --- | --- | --- | | Despised | to feel a strong dislike for someone or something because you think that that person or thing is bad or has no value | He despised himself for being such a coward. | | Cherished | bringing the pleasure of love or caring about someone or something that is important to you | Her most cherished possession is a 1926 letter from F. Scott Fitzgerald. | | Valued | useful and important | Her work was highly valued well beyond the academic community. | | Esteemed | highly respected | It is my honour to introduce our esteemed senator. |

• Therefore, by reading the above explanation we find that the correct answer is Option 2. ​

The correct answer is 'DBAC'. 

Key Points

• The given sentence is an example of Sentence Jumble.
• The first statement of a sentence jumbled question is usually an independent general statement, a noun, a universal fact, the starting of an incident, or it starts with 'most' or 'once'.
• Part D will be the first sentence because it is the starting of an incident. In the given sentence, it shows a rare celestial phenomenon that appeared in Mongolia.
• Part B will be the next sentence because it tells us there were three suns in the sky.
• The next sentence will be Part A because it explains how the sky looked.
• Lastly, Part C will be used because it tells us the real reason behind that celestial phenomenon.
• Therefore, the correct answer is Option 2. 
  

​

Correct Answer: A rare celestial phenomenon appeared in Mongolia. It looked like there were three suns in the sky. The middle sun was the one we usually see every day, but the ones on either side were the sun’s smaller reflections. A local meteorological centre explained that reflection is caused by sunshine high in the sky and light passing through snow crystals in the air.

The correct answer is 'of'. 

Key Points

• The most appropriate preposition for the given fill in the blank is 'of'.
• We use the 'preposition' ''of'' to show possession, belonging, or origin.
• Example: Those seats are reserved for senior members of the club.
• Therefore, the correct answer is Option 2. 
  

​

​Complete part: "It is part of the Gharial Conservation association..."

Additional Information

• The other usage of the 'of' preposition:
• "of" preposition (CONTAINING):
• Example: a book of short stories, a bottle of beer, a bag of sweets, etc.
• "of" preposition (POSITION): used in expressions showing the position
• Example: I've never been north of Philadelphia.
• "of" preposition (TYPICAL): typical or characteristic of
• Example: That guy's got the personality of a dead fish!

The correct answer is 'are'. 

Key Points

• In the given question, the most appropriate helping verb is 'are'.
• The given passage is in the present tense.
• And 'gharials' is plural. Therefore, a plural helping verb should be used.
• Here, 'are' should be used.
• Therefore, the correct answer is Option 3. 
  

​

Complete part:  "Gharial Conservation association where captive-bred gharials are released..."

The correct answer is 'It'. 

Key Points

• The most appropriate word to fill in the blank is 'It'.
• We use 'It' as the subject of a verb, or the object of a verb or preposition, to refer to a thing, animal, situation, or idea that has already been mentioned.
• Example: The company was losing money and it had to let people go.
• Here, in the given question, 'It' is referring to The Ken Gharial Sanctuary.
• Therefore, the correct answer is Option 3. 
  

​

Complete part: "It is located at the Ken River, north of Panna National Park."

The correct answer is 'see'. 

Key Points

• The most appropriate word for the given fill in the blank is 'see'.
• “See” means to notice or become aware of someone or something by using your eyes.
• We tend to go for Option 3 but it would be wrong because we know that “Look” means to direct your eyes in a particular direction.
• In the given fill in the blank, 'See' is grammatically correct.
• Therefore, the correct answer is Option 2. 
  

​

Complete part: "Here you can also see the majestic Raneh Falls on the Ken River." 

Additional Information

• One other difference between the words “watch” and “look” is that “look” is often followed by an adverb or preposition.
• Example: 
• When you dance, don't look down.
• She looked at the bill before she paid it.
• The use of 'see': You do not need to use a preposition or an adverb with the verb “see.” Sentences with “see” may have an object, or they may not.
• Example: 
• With an object - I see a cat in the window.
• Without an object - It will rain today just wait and see.

The correct answer is 'closed'. 

Key Points

• In the given fill in the blank, 'closed' should be used.
• We know that 'closed' means sealed, made inaccessible or impassable, not opened to the public.
• Whereas, 'locked' is of a door, etc, that has been locked (with a key).
• Therefore, the correct answer is Option 1. 
  

​

Complete part:  The Sanctuary is closed for visitors during monsoon season.

Additional Information

• The meaning of other words given in the options as follows: 
• Finished: completed, final, or completely used 
• Example: The rebels' ammunition is almost finished and it is only a matter of time before they surrender.
• Banned: to forbid something, especially officially
• Example: The film was banned in several countries.

The correct answer is 'Mother told Avika to finish those sums before she went to the park.'. 

Key Points

• The given sentence is in Direct Speech. As per the given question, we have to change it into Indirect Speech.
• The process of transformation is as follows: 
• 'Said to' will be changed into 'told' because the reporting verb has an object.
• The given sentence is an example of an imperative sentence.
• Transformation of Imperative Sentence.
• 'Orders', 'Command', 'Request', 'Advice' are given in these kinds of sentences.
• Reporting Verb is changed into 'ordered, advised, requested, commanded, beg, forbade, suggested, proposed, assured, asked, reminded, warned, agreed, refused, promised', etc.
• Inverted Commas will be removed. And conjunction 'to/not to' will be used.
• Example: 
• He said, "Mohan, please bring me my towel." (Direct Speech)
• He requested Mohan to bring him his towel. (Indirect Speech)
• 'To' will be used as a conjunction.
• 'These' will be changed into 'those'.
• 'You' will be changed into 'she'. We know that the second person pronoun is changed according to the object of the reporting verb.
• 'Go' will be changed into 'went'.
• Therefore, the correct answer is Option 3. 
  

​

Indirect speech: Mother told Avika to finish those sums before she went to the park.

The correct answer is 'Dismal'. 

Key Points

• The most appropriate synonym of the given word 'Glum' is 'Dismal'.

• Let's look at the meanings and examples of the given words: 

• | Glum | disappointed or unhappy, and quiet (निराश या दुखी, और शांत) | He's very glum about the company's prospects. | | --- | --- | --- | | Dismal | sad and without hope (उदास और बिना आशा के) | Investors may be deterred by the dismal performance of telecoms shares in recent weeks. | | Bright | full of light, shining (प्रकाश से भरा हुआ, चमकीला) | The rooms were bright and airy. | | Nervous | worried and anxious (चिंतित और चिंतित) | I was too nervous to speak. | | Afraid | feeling fear, or feeling worried about the possible results of a particular situation (डर महसूस करना, या किसी विशेष स्थिति के संभावित परिणामों के बारे में चिंतित महसूस करना) | Don't be afraid to say what you think. |

• Therefore, by reading the above explanation, we find that the correct answer is Option 3. ​

The correct answer is ''were closed''. 

Key Points

• The given sentence is grammatically incorrect.
• In the given sentence, 'last Saturday' is an adverb of simple past tense. Therefore, we tend to use the second form of the verb that is 'closed'.
• But the given sentence is in the passive voice. Therefore, 'was/were+V₃' should be used because of the use of the time adverb - Saturday.
• The subject of the given sentence is plural. Hence, a plural helping verb should be used.
• Therefore, the correct answer is Option 1.
  

​

Correct sentence: All the shops and restaurants were closed during the bandh last Saturday. 

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 'Change the subject immediately'. 

Key Points

• The most appropriate meaning of the given idiom 'Go off at a tangent' is 'Change the subject immediately'. (तुरंत विषय बदलें)
• Go off at a tangent: to suddenly start talking or thinking about a completely new subject
• Example: It's hard to get a firm decision out of him - he's always going off on a tangent.
• By reading the above explanation we find that the correct answer is Option 2. 
  

​

Correct Answer: Change the subject immediately. 

Additional Information

• The other idioms of the word 'go' as follows: 
• Go like a bomb: to move very quickly (बहुत जल्दी चलना)
• Example: His new car goes like a bomb.
• Go into the stratosphere: to go up to an extremely high level (अत्यंत उच्च स्तर तक जाने के लिए)
• Example: Property prices have gone into the stratosphere.
• Go into rhapsodies: to express very great enthusiasm and admiration for something (किसी चीज के लिए बहुत उत्साह और प्रशंसा व्यक्त करना)
• Example: She went into rhapsodies about the chocolate cake.

The correct answer is 'Cockpit'. 

Key Points

• The most appropriate one-word for the given group of words is 'Cockpit'.

• Let's look at the meaning and examples of the given options: 

• | Cockpit | A cockpit or flight deck is the area, usually near the front of an aircraft or spacecraft, from which a pilot controls the aircraft. | He climbed into the cockpit of the fighter. | | --- | --- | --- | | Fuselage | the main body of an aircraft | A close inspection revealed minute cracks in the aircraft's fuselage and wings. | | Chassis | the frame of a vehicle, usually including the wheels and engine, onto which the metal covering is fixed | The car's lightweight chassis is made from aluminium sheets. | | Canopy | a cover fixed over a seat or bed, etc. for shelter or decoration | The narrow black highway ribboned smoothly down a hill under a canopy of trees. |

• By reading the above explanation we find that the correct answer is Option 1. ​

The correct answer is 'have walked'. 

Key Points

• The erroneous part 'have walked' should be 'has walked'.
• We know that 'each, every, everyone. someone, somebody, nobody, none, one, any, many a, more than one' are singular in meaning.
• Therefore, a singular helping verb/ singular pronoun should be used after them. 
• Example: Each student has come.
• Hence, in the given sentence, 'has' should be used.
• Therefore, the correct answer is Option 2. 
  

​

Correct sentence: Someone has walked away with my umbrella.  

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 'heaved'. 

Key Points

• The most appropriate word for the given fill in the blank is 'heaved'.
• In the given blank, 'heave a sigh of relief' is a phrase. Its meaning as follows:
• Heave a sigh of relief: to suddenly feel very happy because something unpleasant has not happened or has ended
• Example: We both heaved a sigh of relief when she left.
• Therefore, by reading the above explanation we find that the correct answer is Option 2. 
  

​

Complete sentence: When he came back home safe that night, everybody heaved a sigh of relief. 

Additional Information

• Let's look at the meaning and examples of the other words given in the option:
• | Raised | to lift something to a higher position | He raised the window and leaned out. | | --- | --- | --- | | Inhaled | to breathe air, smoke, or gas into your lungs | She flung open the window and inhaled deeply. | | Exhaled | to send air out of your lungs | Take a deep breath in then exhale into the mouthpiece. |

The correct answer is 'Sumptuous'. 

Key Points

• The most appropriate synonym of the given word 'Opulent' is 'Sumptuous'.

• Let's look at the meaning and examples of the given options: 

• | Opulent | expensive and luxurious | He lived an opulent lifestyle that included sports cars and enormous homes. | | --- | --- | --- | | Sumptuous | impressive in a way that seems expensive | The celebrity guests turned up dressed in sumptuous evening gowns. | | Economical | not using a lot of fuel, money, etc. | There's an increasing demand for cars that are more economical on fuel. | | Poor | having little money and/or few possessions | He came from a poor immigrant family.​ | | Depressed | unhappy and without hope | He seemed a bit depressed about his work situation. |

• Therefore, by reading the above definitions, we find that the correct answer is Option 3. ​

The correct answer is 'Orchard'. 

Key Points

• The most appropriate one-word for the given set of words is 'Orchard'.

• Let's look at the meaning and examples of the given words: 

• | Grove | a group of trees planted close together | More seeds were removed under solitary palms than from groves. | | --- | --- | --- | | Nursery | a place where young children and babies are taken care of while their parents are at work | Does Jake go to a nursery or a childminder? | | Vineyard | a piece of land on which vines are grown | She declared a piece of a vineyard with olive trees, which was valued at 6 florins. | | Orchard | an area of land where fruit trees (but not orange trees or other citrus trees) are grown | Wholesalers were then questioned about the orchards from which they had obtained their product. |

• Therefore, by reading the above explanation, we find that the correct answer is Option 4. ​

The correct answer is 'Growth'. 

Key Points

• The most appropriate antonym of the given word 'Decay' is 'Growth'. 
  

Let's look at the meaning and examples of the given words: 

 

• By reading the above definition, we find that the correct answer is Option 2. ​

Hinglish

• दिए गए शब्द का सबसे उपयुक्त antonym 'Growth’ है।

आइए दिए गए शब्दों के अर्थ और उदाहरण देखें:

The correct answer is 'Irradicate'. 

Key Points

• In the given options 'Irradicate' is incorrectly spelt. The correct spelling of it is 'eradicate'.

• Let's look at the meaning and examples of the given options: 

• | Eradicate | to get rid of something completely or destroy something bad | The government claims to be doing all it can to eradicate corruption. | | --- | --- | --- | | Irreverent | not showing the expected respect for official, important, or holy things | The television program takes an irreverent look at the medical profession. | | Irrational | not using reason or clear thinking | His parents were worried about his increasingly irrational behaviour. | | Irregular | (of behaviour or actions) not according to usual rules or what is expected | Releasing the goods without an invoice is most irregular. |

• By reading the above explanation, we find that the correct answer is Option 1. ​

The correct answer is 'For reaching the station, an auto was hired by them.'

Key Points

• The given sentence is in Active Voice. As per the given question we have to change it into Passive Voice.
• The process of transformation as follows: 
• There will be no change in 'For reaching the station'.
• The subject of the given sentence is 'they'. And the objective form of 'they' will be used that is 'them'.
• The object of the given sentence is 'an auto'.
• The subject will be put in place of the object. And the object will be put in place of the subject.
• 'Hired' will be changed into 'was hired'.
• Therefore, the correct answer is Option 1. 
  

​

Correct Passive form: For reaching the station, an auto was hired by them.

Additional Information

• Transformation of Infinitives:
• Subject + is/am/are/was/were/has/have/had + to + V1 + Object. (Active Voice)
• Subject (objective case) + is/am/are/was/were/has/have/had + to + be + V3 + by + object (Subjective case). (Passive Voice)
• Example:
• The teacher is to solve the doubt of every student.
• The doubt of every student is to be solved by the teacher.

The correct answer is 'To relax'. 

Key Points

• The most appropriate meaning of the given idiom is 'To relax'.
• Cool it: used to tell someone to become calm, rather than be angry or violent (किसी को गुस्सा या हिंसक होने के बजाय शांत रहने के लिए कहते थे)
• Example: Just cool it, everyone, fighting won't solve anything.
• By reading the above definition we find that the correct answer is Option 3. 
  

​

Correct Answer: To relax. 

Additional Information

• The other idioms of the given word 'Cool' are as follows: 
• Cool your jets: to become calm and not so excited or worried (शांत हो जाना और इतना उत्साहित या चिंतित नहीं होना)​
• Example: Cool your jets, folks, the result won't be as bad as the media is predicting.
• ​Cool as a cucumber: very calm or very calmly, especially when this is surprising (बहुत शांत या बहुत शांति से, खासकर जब यह आश्चर्यजनक हो)
• Example: She walked in as cool as a cucumber as if nothing had happened.

The correct answer is 'Deliceous'. 

Key Points

• In the given option 'deliceous' is incorrectly spelt. Its correct spelling is 'Delicious'.

• Let's look at the meaning and examples of the given options: 

• | Obvious | easy to see, recognize, or understand | They have a small child so for obvious reasons they need money. | | --- | --- | --- | | Courageous | having or showing courage | It was a courageous decision to resign in protest at the company's pollution record. | | Vicious | Vicious people or actions show an intention or wish to hurt someone or something very badly | The police said that this was one of the most vicious attacks they'd ever seen. | | Delicious | 'having a very pleasant taste or smell' | The delicious smell of freshly made coffee came from the kitchen. |

• By reading the above definition, we find that the correct answer is Option 4.

The correct answer is 'doesn't she'. 

Key Points

• The given sentence is grammatically incorrect.
• A positive statement is followed by a negative question tag.
• Example: Mary can speak English, can't she?
• A negative statement is followed by a positive question tag.
• Example: They aren't funny, are they?
• In the given sentence, the negative tag of 'does' should be used.
• Therefore, the correct answer is Option 4. 
  

​

Correct sentence: Avika understands French, doesn't she?

Additional Information

• If the sentences start with ''Let's'' (Let us) then ''shall we?'' should be used as a question tag.
• Example: Let's walk, shall we?

The correct answer is 'pronounced'. 

Key Points

• The most appropriate word for the given fill in the blank is 'pronounced'.

• Let's look at the meaning and examples of the given options:

• | Widespread | existing or happening in many places and/or among many people | There are reports of widespread flooding in northern France. | | --- | --- | --- | | Vague | not clearly expressed, known, described, or decided | The patient had complained of vague pains and backache. | | Pronounced | very noticeable or certain/ easily noticeable; obvious | She's a woman of very pronounced views which she is not afraid to air. | | Remarkable | unusual or special and therefore surprising and worth mentioning | Nelson Mandela was a truly remarkable man. |

• By reading the above definitions, we find that the correct answer is 'pronounced'.

• Therefore, the correct answer is Option 3. 
  

​

Complete sentence: Our professor speaks English with a pronounced Oriya accent.

According to the alphabetical positions of the letters, 

The pattern followed here is:

1) TPMKJ → T – 4 = P; P – 3 = M; M – 2 = K; K – 1 = J

2) WSPNM → W – 4 = S; S – 3 = P; P – 2 = N; N – 1 = M

3) UQNLK → U – 4 = Q; Q – 3 = N; N – 2 = L; L – 1 = K

4) ROLIF → R – 3 = O; O – 3 = L; L – 3 = I; I – 3 = F

Hence, ‘ROLIF’ is the correct answer.

The logic is:

1² + 1 = 2

3² + 1 = 10

5² + 1 = 26

7² + 1 = 50

9² + 1 = 82

11² + 1 = 122

We can also solve this series in another way,

Logic: Add consecutive multiple of 8 to get the series.

The pattern followed here is:

Hence, ‘122’ is the correct answer.

The correct mirror image of the given figure when the mirror is placed to the right side of the figure is shown below:

Hence, ‘option 1’ is the correct answer.

There is one teacher for every 42 students.

So, there are total 43 members in each group of teachers and students among 946 teacher and students in the school.

So, number of teachers in the school = 946 ÷ 43

= 22

Hence, ‘22’ is the correct answer.

The logic is:

(5, 8, 39) → 8² – 5² = 64 – 25 = 39

Similarly,

4) (9, 12, 63) → 12² – 9² = 144 – 81 = 63

Hence, ‘(9, 12, 63)’ is the correct answer.

The paper when unfolded will appear as shown below:

Hence, ‘option 1’ is the correct answer.

The logical and meaningful order of the following words is shown below:

4. Earthen lamp
5. Lantern
6. Bulb
7. CFL bulb
8. LED bulb

The given words are arranged in the order they were invented.

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

Ram + Shyam + Adil = 60 years

Four years ago each of them was 4 years younger.

So, total of their ages four years ago = [60 – (3 × 4)] years

= 60 – 12

= 48 years

Hence, ’48 years’ is the correct answer.

As 1 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.

<br>

So, the face opposite to the face having number '3' is ‘4’.

Hence, ‘4’ is the correct answer.

The least possible venn diagram is:

I. Only some bowls are cups. → False (It is definite)

II. No bowl is a cup. → True (as, all bowls are plates and no plate is a cup)

Hence, only conclusion II follows.

According to the alphabetical positions of the letters,

The pattern followed here is:

Logic : Letters are coded by their reverse letter.

The pattern followed here is:

<br>

Similarly,

<br>

Hence, ‘XVRORMT’ is the correct answer.

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

Hence, ‘option 3’ is the correct answer.

A cube of 3" × 3" × 3" inch size was painted on all six sides and then cut into 27 smaller cubes of 1 inch size.

The center cube will be faced on only one side.

The four cubes on four sides of this center cube will be painted on two sides.

So, smaller cubes with only two sides painted = 4 × 3

= 12

Hence, ‘12’ is the correct answer.

The pattern followed here is:

1. The middle figure become the first figure, the last figure become the middle figure and the first figure become the last figure.

2. Shaded part of the last figure shifted to first figure and shaded part of the first figure is shifted to middle figure.

So, the 2^nd figure of the series will come next in the series as shown below:

Hence, ‘option 3’ is the correct answer.

The logic is:

132 : 12 → (12 – 1) × 12 : 12

Similarly,

182 : 14 → (14 – 1) × 14 : 14

Hence, ‘182 : 14’ is the correct answer.

According to the alphabetical positions of the letters,

The pattern followed here is:

Similarly,

Hence, ‘56’ is the correct answer.

The correct mirror image of the given figure when the mirror is placed to the right side of the figure is shown below:

Hence, ‘option 3’ is the correct answer.

The logic is:

'Anemia' is related to 'Blood' → Anemia is a condition in which a person lacks healthy red blood cells.

Similarly,

'Hepatitis' is related to 'Liver' → Hepatitis refers to the inflammatory condition of the liver.

Hence, ‘Liver’ is the correct answer.

The least possible venn diagram is:

I. Some cars are buses. → False (It can be possible but it is not definite)

II. Some mangoes are cars. → True (All cars are mangoes)

III. Some mangoes are apples. → True (as, all buses are mangoes and some apples are buses)

Hence, only conclusion II and III follow.

According to the alphabetical positions of the letters,

The pattern followed here is:

Similarly,

Hence, ‘RAGNTNE’ is the correct answer.

The pattern followed here is:

STRAIN : TRAIN → ‘S’ when removed from the first term, becomes the 2^nd term.

Similarly,

STABLE : ? → S when removed from STABLE becomes TABLE.

Hence, ‘TABLE’ is the correct answer.

1) 8, 4

Given expression: 8× $\frac{4}{3}$ + 9 – 5 = 10

After replacing the numbers, we get:

L.H.S = 4 ×

 + 9 – 5

= 10.66 + 9 – 5

= 19.66 – 5

= 14.66 ≠ R.H.S

2) 9, 3

Given expression: 8× $\frac{4}{3}$ + 9 – 5 = 10

After replacing the numbers, we get:

L.H.S = 8× $\frac{8}{3}$+ 3 – 5

= 3.55 + 3 – 5

= 6.55 – 5

= 1.55 ≠ R.H.S

3) 5, 3

Given expression: 8× $\frac{4}{3}$+ 9 – 5 = 10

After replacing the numbers, we get:

L.H.S = 8×

 + 9 – 3

= 6.4 + 9 – 3

= 15.4 – 3

= 12.4 ≠ R.H.S

4) 4, 3

Given expression: 8× $\frac{4}{3}$ + 9 – 5 = 10

After replacing the numbers, we get:

L.H.S = 8×

 + 9 – 5

= 6 + 9 – 5

= 15 – 5

= 10 = R.H.S

Hence, ‘4, 3’ is the correct answer.

According to the alphabetical positions of the letters,

The pattern followed here is:

Hence, ‘HJL’ is the correct answer.

1. 12 and 48

Given expression: 12 × 2 + 8 - 48 ÷ 6 = 20

After replacing the numbers we get:

L.H.S = 48 × 2 + 8 - 12 ÷ 6

= 96 + 8 – 2

= 104 – 2

= 102 ≠ R.HS

2. 6 and 8

Given expression: 12 × 2 + 8 - 48 ÷ 6 = 20

After replacing the numbers we get:

L.H.S = 12 × 2 + 6 - 48 ÷ 8

= 24 + 6 – 6

= 30 – 6

= 24 ≠ R.HS

3. 8 and 12

Given expression: 12 × 2 + 8 - 48 ÷ 6 = 20

After replacing the numbers we get:

L.H.S = 8 × 2 + 12 - 48 ÷ 6

= 16 + 12 – 8

= 28 – 8

= 20 = R.H.S

4. 2 and 6

Given expression: 12 × 2 + 8 - 48 ÷ 6 = 20

After replacing the numbers we get:

L.H.S = 12 × 6 + 8 - 48 ÷ 2

= 72 + 8 – 24

= 80 – 24

= 56 ≠ R.HS

Hence, ‘8 and 12’ is the correct answer.

In a certain language, a letter is coded by the letter at the same position but from the end of the English alphabet.

It simply means that the letters are coded by their reverse letter.

So, MANNGO will be written as:

 

Hence, ‘NZMTL’ is the correct answer.

Given:

A shopkeeper sells an item that is marked as Rs. 3685 for Rs. 2845

Formula used:

%discount = [(Mark price – Selling price)/Mark price] × 100

Calculation:

Mark Price (M.P.) = 3685

Selling price (S.P.) = 2845

%discount = [(M.P. –S.P.)/M.P.] × 100

⇒ [(3685 – 2845)/3685] × 100

⇒ (840/3685) × 100

⇒ 840 × 20/737 = 22.795%

∴ The discount offer is 22.795%.

Given:

SecA = 5/3

Formula used:

Sec²A – Tan²A = 1,

CotA = 1/TanA

Calculation:

⇒ Sec²A – Tan²A =1

⇒ Tan²A =Sec²A – 1

⇒ Tan²A = (5/3)² – 1

⇒ Tan²A = (25 – 9)/9

⇒ Tan²A = 16/9

⇒ TanA = 4/3

⇒ CotA = 1/TanA

⇒ CotA = 1/(4/3)

⇒ CotA = 3/4

Alternate Method

SecA = 5/3

SecA = hypotenius / base

SecA = AC/BC

In triangle ABC ∠ B = 90⁰

Using pythagorus theorem

⇒ (AC)² = (AB)² + (BC)²

⇒ (5)² = (3)² + (AB)²

⇒ (AB)² = 25 – 9

⇒ (AB)² = 16

⇒ AB = √ 16

⇒ AB = 4

Then, TanA = Perpendicular/Base

⇒ TanA = AB/BC

⇒ TanA = 4/3

Given:

The sales (in thousands) of motor bikes by the factories F1, F2, F3, and F4 in 2017, 2018 and 2019

Calculation:

Sales of motor bike by Factory is the Sum of the number of 2017, 2018 and 2019 sales

Sum = Number of motor bike in 2017 + Number of motor bike in 2018 + Number of motor bike 2019

⇒ F1 is sales across all year = 65 + 72 + 83 = 220

⇒ F2 is sales across all year = 69 +71 +73 = 213

⇒ F3 is sales across all year = 58 +64 + 69 = 191

⇒ F4 is sales across all year = 63 + 68 + 69 = 200

Therefor, Highest sales across all years (2017, 2018 & 2019) is F1

Given:

Ratio of angles = 1 : 2 : 3

Calculation:

Let angle be x, 2x and 3x respected

Now,

⇒ x + 2x + 3x = 180° 

⇒ 6x = 180° 

⇒ x = 30° 

The angles are

⇒ x = 30°

⇒ 2x = 60°

⇒ 3x = 90°

Since one angle is 90° therefore it is right angled triangle.

Given:

A library has an average of 265 visitors on Sundays and 130 visitors on other days.

Formula used:

Average = (M₁ × N₁ + M₂ × N₂)/(M₁ + M₂)

Calculation:

Since the month begins with a Monday, so there will be four Sundays in the month.

M₁ = Number of Sunday

M₁ = 4

M₂ = Remaining days

M₂ = 26

N₁ = Average visitors on Sundays

N₁ = 265

N₂ = Average visitors on remaining days

N₂ = 130

Required average,     

⇒ (265 x 4 + 130 x 26)/30

⇒ 4440/30

⇒ 148

∴ The average number of visitors per day 148

Given:

AC=  15 cm and DE = 3 cm

calculation:

AB and AC are the tangents to the circle from point A

∴ AB = AC

EF is tangent to the circle at point D and intersecting AC and AB

∴ ED = EB = 3 cm

AE = AB - EB

AE = 15 - 3

AE = 12 cm

calculation:

according to the question

total sales of motorbikes by the factory F1 in 2017, 2018, and 2019. 

⇒ 65 + 72 + 83

⇒ 220

total sales of motorbikes by the factory F2 in 2017, 2018, and 2019. 

⇒ 69 + 71 + 73

⇒ 213

total sales of motorbikes by the factory F3 in 2017, 2018, and 2019.

⇒ 58 + 64 + 69

⇒ 191

total sales of motorbikes by the factory F4 in 2017, 2018, and 2019

⇒ 63 + 68 + 69

⇒ 200

hence factory F3 has least no. of sales

Given:

expression is  Sin4 θ + Cos4 θ + 2Sin2 θ Cos2θ

formula used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

Sin⁴ θ + Cos⁴ θ + 2Sin² θ Cos²θ

⇒ (Sin²θ)² + (Cos²θ)² + 2Sin²θ Cos²θ

∵ (a + b)² = a² + b² + 2ab

⇒ (Sin²θ + Cos²θ)²

∵ Sin²θ + Cos²θ = 1

⇒ 1²

⇒ 1

∴ the value of given expression is 1

Given:

one side of triangle = 6 cm

second side of triangle = 10 cm

concept used:

the difference of two other sides < x < sum of two other side

calculation:

(10 - 6) < x < (10 + 6)

⇒ 4 < x < 16

the third side of the triangle should lie between 4 and 16

∴ minimum integral value is 5 and maximum integral value is 15

Hence, the answer is 5 cm

Given:

CP = Rs. 3200

Spent on repair = Rs. 600

SP = Rs. 4280

Where CP = Cost price, SP = Selling price

Formula used:

${\rm{Profit\% ;}} = {\rm{;}}\frac{{{\rm{SP;}} - {\rm{;CP}}}}{{{\rm{CP}}}}{\rm{;}} × {\rm{;}}100$

Calculation:

New CP = Rs. (3200 + 600) = Rs. 3800

${\rm{Profit\% ;}} = {\rm{;}}\frac{{4280{\rm{;}} - {\rm{;}}3800}}{{3800}}{\rm{;}} × {\rm{;}}100$

⇒ 480/38 × 100

⇒ 12.63%

∴ profit percentage is 12.63%

Given:

$x + \frac{1}{x} = 4$

Formula used:

⇒ (a + b)² = a² + b² + 2ab

Calculation:

According to the formula 

⇒ ${\left( {x + \frac{1}{x}} \right)^2} = {x^2} + \frac{1}{{{x^2}}} + 2 \times x \times \frac{1}{x}$

⇒ $16 = {x^2} + \frac{1}{{{x^2}}} + 2$

⇒ ${x^2} + \frac{1}{{{x^2}}} = 14$       .....1

squaring both sides in the equation 1

⇒ ${\left( {x^2 + \frac{1}{x^2}} \right)^2} = {x^4} + \frac{1}{{{x^4}}} + 2 \times x^2 \times \frac{1}{x^2}$

⇒ $16 = {x^2} + \frac{1}{{{x^2}}} + 2$

⇒ ${x^4} + \frac{1}{{{x^4}}} = 194$

∴ The value of ${x^4} + \frac{1}{{{x^4}}}$ = 194.

 

If $x + \frac{1}{x} = k$

⇒ ${x^4} + \frac{1}{{{x^4}}} = {k^2}\left( {{k^2} - 4} \right) + 2$

⇒ 4²(4² – 4) + 2

⇒ 194

∴ The value of  = 194.

Given:

Rate = 11%

Time = 3 years

Simple interest(S.I) = Rs. 9570

Formula used:

Simple interest = (P × R × T)/100

Calculation:

⇒ P = (S.I × 100)/(R × T)

⇒ P = (9570 × 100)/(11 × 3)

⇒ P = 29000

∴ The principal amount borrowed by him was Rs. 29000.

Shortcut Trick

Use the point-slope form of the straight line equation: y − y₁ = m(x − x₁).

Substitute (x₁, y₁) = (3, −5) and slope m = 2:

y − (−5) = 2(x − 3) ⇒ y + 5 = 2x − 6

Rearranging the terms: 2x − y − 6 − 5 = 0 ⇒ 2x − y − 11 = 0.

∴ The correct answer is 2x - y - 11 = 0.

Alternate Method

Given:

Coordinates of the point (x₁, y₁) = (3, −5)

Slope of the line (m) = 2

Formula Used:

The equation of a line passing through a point (x₁, y₁) with slope m is given by: y − y₁ = m(x − x₁)

Calculations:

⇒ Substituting values in the formula:

⇒ y − (−5) = 2 × (x − 3)

⇒ y + 5 = 2x − 6

⇒ 2x − y − 6 − 5 = 0

⇒ 2x − y − 11 = 0

This matches the General Form of a linear equation Ax + By + C = 0.

∴ The correct answer is 2x - y - 11 = 0.

Additional Information

Slope-Intercept Form

The equation of a line with slope m and y-intercept c is y = mx + c.

Two-Point Form

If a line passes through (x₁, y₁) and (x₂, y₂), the equation is (y − y₁) = [(y₂ − y₁)/(x₂ − x₁)] × (x − x₁).

Intercept Form

The equation of a line making intercepts a and b on the x and y axes respectively is x/a + y/b = 1.

Slope from General Equation

For a line Ax + By + C = 0, the slope m = −A/B.

Given:

The ratio of the number of men and women in a factory is 14:19

The total number of employees in the factory is 2145.

Calculation:

Let the number of men be x

Let the number of women be y

According to the question,

⇒ x/y = 14/19

⇒ x = (14/19)y     .....1

The total number of employees 

⇒ x + y = 2145     .....2

Putting the equation (1) in equation (2) then,

⇒ (14/19)y + y = 2145

⇒ 33y = 2145×19

⇒ y = 40755/33

⇒ y = 1235

∴ The number of women in the factory is 1235.

 

Shortcut Trick

If the ratio of two number x,y is given, the sum of two number is given,

Then find any number x or y,

⇒ x = $\frac{{total{\rm{ }}number \times x}}{{x + Y}}$  or y = $\frac{{total{\rm{ }}number \times Y}}{{x + Y}}$

⇒ y = $\frac{{2145 \times 19}}{{14 + 19}}$

⇒ y = 1235

∴ The number of women in the factory is 1235.

Given:

The sales (in thousands) of motorbikes by the factories, F1, F2, F3, and F4 in 2017, 2018 and 2019.

Calculation:

The total sales (in thousands) of motorbikes by the factories F1 = 65 + 72 + 83

⇒ 220

The total sales (in thousands) of motorbikes by the factories F4 = 63 + 68 + 69

⇒ 220

 The ratio of the total of F1 : F4 = 220:200

⇒ 11 : 10

∴ The ratio of the total of F1 to that F4 across all years is 11:10.

As shown in the above Figure:

Given:

A Circle is drawn circumscribing rectangle ABCD

The length of the Rectangle is = 24 cm

The breadth of the Rectangle = 7 cm

Formula used:

Area of a circle = πr² ,where π = 3.14 or 22/7

Calculation:

In a rectangle, all angles are 90°

And as By Phtygoros theorem

⇒ 24² + 7² = 25² ________ ( 1 )

⇒ but here, the Radius of the given circle = 25/2

⇒  Area of the Circle = π× (25/2)²

⇒ Area of the circle = 3.14× (625/4) = 490.625 cm²

Given:

Square of side = 75 m

And a dog runs around the square with a speed of = 6 km/hr

Formula Used:

The perimeter of a square = 4 × side of the given square

Calculation:

⇒ Speed of the dog in m/sec = 6 × 1000/3600 = 6× 5/18 = 5/3 m/sec

⇒ The perimeter of the Square = 4 × 75 m = 300 m

⇒ Time = Distance/speed

Hence, Time is taken by the dog to travel around the square

⇒ Time = (300)/(5/3) = 60 × 3 seconds or (60 × 3)/60 = 3 minutes

Given:

\(1\frac{3}{4} - \left[ {3\frac{1}{8}; \div \left{ {6 - \left( {2\frac{3}{4} - \frac{{11}}{{12}}} \right)} \right}} \right]\)

Concept Used:

Follow the BODMAS rule as given in the below table:

Calculation:

The given expression is:

⇒ 1 + 3/4 – [(3 + 1/8 )÷ {6 – (2 + 3/4 – 11/12)}]

⇒ 1 + 3/4 – [(3 + 1/8) ÷ {6 – ( 2 + (9 – 11)/12)}]

⇒ 1 + 3/4 – [(3 + 1/8) ÷ {6 – ( 2 – 2/12)}]

⇒ 1 + 3/4 – [(3 + 1/8) ÷ {6 – 2 +2 /12}]

⇒ 1 + 3/4 – [25/8 ÷ (4 + 1/6)]

⇒ 1 + 3/4 – [(25/ 8) ÷ (25/6)]

⇒ 1 + 3/4 – [ 25/8 × 6/25]

⇒ 1 + 3/4 – [ 6/8 ]

⇒ 1 + 3/4 – 3/4 = 1

Given:

As shown in the given circle O is the center of the circle

∠BAO = 30° and ∠BCO = 50°  ______ ( 1 )

Let us consider the full triangle as shown in the above figure.

Calculation:

Let us consider the Δ AOC,

Let ∠OAC = ∠OCA = x°

As sum of all angles of a triangle = 180°

⇒ ∠AOC + x° + x° = 180°

⇒ ∠AOC = 180° - 2x° _______ ( 2 )

Now, in Δ BAC also

⇒ ∠ABC + ∠BAC + ∠BCA = 180°

∠ABC + 30° + x° + 50° + x° = 180°

∠ABC + 80° + 2x° = 180°

⇒  ∠ABC = 180° - 80° - 2x°

⇒ ∠ABC = 100° - 2x° ______ ( 3 )

Theorem used:

As angle made a chord on any point on a circle = ( Angle made by the same chord on the centre )/2

∴ ∠ABC = (∠AOC/2)

⇒ 100° - 2x° = ( 180° - 2x° )/2

⇒ 100° - 2x° = 90° - x°

⇒ x° = 10°

Now in Δ AOC , ∠AOC = 180° - 2x° ( from ( 2 ) )

∠AOC = 180° - 2× 10° = 160°

Given:

Let us try to do this question with the LCM method

As time taken by Amir to complete the work = 30 days

Time taken by Akbar to comlpete the same work = 15 days

Calculations:

 As we can see in the given figure, total work be = 30unit

∴ Efficiency of Amir = 30unit/ 30 days = 1unit/day ______ ( 1 )

And Efficiency of Akbar = 30unit/15 days = 2unit/day ______ ( 2 )

⇒ Work done by Akbar in 8 days = 8× 2 = 16 unit

⇒ Work left for Amir = 30 – 16 = 14 unit

⇒ Time taken byAmir to do 14 unit work = 14/1 = 14 days

Concept used: 

Divisibility rule of 8 = Last three digits of any number should be divisible by 8

Calculation:

396258N fully divisible by 8

⇒ 58N/8

⇒ 580 + N/8

⇒ 584/8 = 7

⇒ N = 4

∴ N is 4

Given:

Cos A = 2 Sin A

Formula used:

Pythagoras Theorem = P² + B² = H² [P = perpendicular, B = base, H = Hypotenuse]

Calculation:

Cos A = 2 Sin A

⇒ Cos A / Sin A = 2

⇒ Cot A = 2

As we know that Cot A = B/P

⇒ Cosec A = H/P

⇒ Cosec A = √ 5/1 = √ 5

∴ Cosec A is √ 5

Let the number be x

Then,

x × 25/100 = 68

⇒ x = 68 × 4 [25/100 = 1/4]

∴ The number is 272

F1's production in 2018 = 72

F1's production in 2019 = 83

∴ Increment = 83 -72 = 11

% Increase =  11 × 100/72 

⇒ 1100/72 = 15 .27 %

F2's production in 2018 = 71

F2's production in 2019 = 73

∴ Increment = 73 -71 = 2

% Increase =  2 × 100/71

⇒ 200/71 = 2.8 %

F3's production in 2018 = 64

F3's production in 2019 = 69

∴ Increment = 69 - 64 = 5

% Increase =  5 × 100/64

⇒ 125/16 = 7.8 %

F4's production in 2018 = 68

F4's production in 2019 = 69

∴ Increment = 69 - 68 = 1

% Increase =  1 × 100/68 

⇒ 100/68 = 1.47 %

∴ Highest increase in the percentage in F1

Given:

The ratio of present ages (in years) of a father and son is 15 : 8. Six years ago.

And the ratio of their ages was 13 : 6.

Calculation: 

Let the present age of father be 15x years.

And the present age of son be 8x years.

According to the question:

(15x – 6)/(8x – 6 ) = 13/6

⇒ 90x – 36 = 104x – 78

⇒ - 14x = - 42

⇒ x = 3

∴  The present age of father is 15x years = 15 × 3 = 45 years.

The correct answer is Desktop computers.

• Portable devices are any devices that can easily be carried.
• We can not carry Desktop computers anywhere, so it is not a portable device.
• iPods, Thumb drives, Laptops are portable devices as they are easy to carry.

The correct answer is Microeconomics.

Key Points

• Microeconomics is the study of individuals and business decisions, while macroeconomics looks at the decisions of countries and governments.
• The concepts of wages, rent, interest and profit are studied under Microeconomics.
• Microeconomics focuses on supply and demand, and other forces that determine price levels, making it a bottom-up approach.
• It studies the economics of the firm, individual, consumers, inflation.

Additional Information

• Macroeconomics is a branch of economics dealing with the performance, structure, behaviour, and decision-making of an economy as a whole.
• This includes regional, national, and global economies.

The correct answer is the Dronacharya award.

Key Points

• Dronacharya award is associated with Sports.
• It is awarded annually by the Ministry of Youth Affairs and Sports.
• It is awarded to the Coaches for their achievement in producing "Outstanding Sportsperson".
• It was first awarded in 1985 to Bhalchandra Bhaskar Bhagwat.
• The reward amount for this Prize is ₹ 15 lakh.

Additional Information

• Arjun Award 
• It was started in 1961 by the government of India.
• Ministry of Youth Affairs and sports awards best sportspersons.
• Those who have shown constantly good performance for 4 years at the international level will be chosen for this award.
• The Awardee will be awarded a cash prize worth Rs. 15 lakh and a bronze statue.
• Krishna Das was the first person to be awarded the Arjun Award in 1984.
• The Dhyanchand Award has been constituted by the Government of India in 2002 to honour lifetime achievement in sports and games.
• Dhyan Chand was a celebrated hockey player of India, mainly before independence.
• He won three gold medals with the Indian Team in the Olympics of 1928, 1932, and 1936.
• The Rajiv Gandhi Khel Ratna Award, which will now be referred to as the Major Dhyan Chand Khel Ratna Award, recognises sportspersons who have excelled at the international level over a period of four years. It carries a cash reward of Rs 25 lakh
• This award in Sports is the highest sporting honor of India.
• It is awarded by the Ministry of Youth Affairs and Sports.
• The first recipient of the award was Viswanathan Anand, who was the country's first chess Grandmaster.

Important Points

• Arjuna Award has been enhanced to 15 lakh rupees from 5 lakh. The Dhronacharya (Lifetime) awardees, who were earlier given 5 lakh rupees will now be given 15 lakh rupees as cash prizes, while Dhronacharya (Regular) will be given 10 lakh instead of  5 lakh rupees per awardee. Dhyanchand Awardees will be given 10 lakh rupees instead of 5 lakh rupees.
• The prize money for the Rajiv Gandhi Khel Ratna Award has been increased to 25 lakh rupees from the previous amount of 7.5 lakh rupees.

The correct answer is New Delhi.

• Mughal emperor Humayun's library is located in New Delhi.
• In 1556, Humayun died after tumbling down from the stairs of his library.

Additional Information

• Important monuments by Mughal emperors.
• Akbar's monuments

• Jahangir's monuments

• Shahjahan's monuments

• Aurangzeb's monuments

The correct answer is carbon.

Key Points

• Organic compounds are carbon-containing compounds that are present in all living organisms.
• It is the main component of all organic life forms.
• It can be seen in the DNA chain and Carbohydrates.
• Organic compounds consist of hydrogen, oxygen, carbon, and their other derivatives.
• Organic compounds are insoluble in water.
• These compounds have carbon-hydrogen bonds.
• These compounds exist in the form of Solids, gases, and liquids.

Important Points

• Silicon (Si) is a nonmetallic chemical element in the carbon family.
• It belongs to Group 14 [IVa] of the periodic table.
• The atomic number is 14.
• Lead is a soft, silvery-white or grayish metal.
• It belongs to Group 14 (IVa) of the periodic table.
• Lead is very malleable, ductile, and dense and is a poor conductor of electricity.

The correct answer is Srirangapatnam.

• Tipu Sultan built this palace in 1784 and ruled Mysore from Srirangapatnam.

Key PointsTipu Sultan was the ruler of Mysore.

• Tipu Sultan is well known as the “Tiger of Mysore”.
• He had the image of a tiger on his flag.
• He is the son of the powerful Mysore ruler Haidar Ali.
• Tipu Sultan ruled Mysore from 1782 to 1799.
• He maintained a positive relationship with the French in India and modernized his army with their help.
• The French commander-in-chief Napoleon Bonaparte sought an alliance with Tipu Sultan
• The Treaty of Srirangapatnam (1792) is associated with Tipu Sultan.
• He was killed while defending his capital Seringapatam.

The correct answer is Subhash Chandra Bose.

• Dilli Chalo Slogan was given by Subhash Chandra Bose.
• He used this slogan to motivate the Indian National Army (INA) in 1944 when the INA commenced its military campaign against Burma.

Additional Information

The correct answer is Saswati Sen – Bharatanatyam.

Key Points

• Madhavi Mudgal belongs to Orissi.
• Nandini Singh belongs to Kathak.
• Radha Reddy belongs to Kuchipudi.
• Saswati Sen is a leading Indian exponent of Kathak. So 2 option is wrong.
• Yamini Krishna Murthy belongs to Bharatnatyam while Saswati Sen is the performer of Kathak.

 

Additional Information

Important dance form and performing states. 

The correct answer is Gagan Narang – Shooting.

Key Points

• Sania Mirza is an Indian professional Lawn tennis player.
• Ronjan Sodhi is an Indian Double trap shooter.
• Yogeshwar Dutt is an Indian freestyle wrestler.
• Gagan Narang is an Indian shooter.

 

Additional Information

• Rajiv Gandhi Khel Ratna 2020 winners:
• Rohit Sharma(Cricket).
• Mariyappan Thangavelu(Paralympian).
• Manika Batra(Table Tennis).
• Vinesh Phogat(Wrestler).
• Rani Rampal(Hockey).

The correct answer is Wipro – Mohammed Hashim Premji.

Key Points

• Mohammed Hashim Premji is the founder of Wipro.

• Dhirajlal Hirachand Ambani was the founder of Reliance.

​

​

 

• Y C Deveshwar is the founder of ITC.

• NR Narayana Murthy is the founder of Infosys.