SSC CHSL Tier-1 2021: Official Paper (Held On : 30 May 2022 Shift 2) (Previous Year Paper)

The correct answer is 'Quiet'.

Key Points

• Clamour is a noun which means a loud and confused noise, especially that of people shouting.
• Example - The questions rose to a clamour.
• The meaning of the given options are as follows - 
• Quiet - making little or no noise. 
• Example- The car has a quiet, economical engine.
• Complaint - a statement that something is unsatisfactory or unacceptable.
• Example- I intend to make an official complaint.
• Babble - talk rapidly and continuously in a foolish, excited, or incomprehensible way.
• Example- They babbled on about their holiday.
• Danger - the possibility of suffering harm or injury.
• Example- Her life was in danger.
• From the above meanings it is evident that quiet is the correct antonym for the word clamour.

Hence, option 1 is the correct answer.

The correct answer is 'dependable'.

Key Points 

• Credible is an adjective which means able to be believed; convincing.
• Example - Few people found his story credible.
• The meaning of the given options are as follows - 
• detachable - able to be removed or separated from something. - This shirt has a detachable collar.
• commendable - deserving praise. - Her effort is commendable.
• digestible - (of food) able to be digested. - You need something easily digestible because you have an upset stomach.
• dependable - trustworthy and reliable. - He has always been a dependable source of information.
• From the above meanings it is evident that dependable is the correct synonym for the word credible.
• Hence, option 4 is the correct answer.

The erroneous part is 'quiet'.

Key Points

• The adverb "quietly" should modify the verb "entered" in this context.
• Quiet is a verb and cannot be used to describe how the thief entered the house.
• Hence, the erroneous part of the sentence is 'quiet' which makes option 4 the correct answer.
• The sentence can be corrected by using the adverb quietly which means in a quiet manner.

Correct sentence - The thief / entered the house, / in the middle of the night, / quietly.

The erroneous part is 'will believing him.'

Key Points

• The given sentence is in the present tense form.
• will believing him  is in the future tense form making it incorrect.
• So, option 1 is the correct answer.
• Since the subject of the sentence is third person singular (He), we need to use the present tense form believes to make the sentence correct.

Correct sentence - He is such an untruthful man, that no one believes him.

The correct answer is 'made her feeble and unhappy'.

Key Points

• The use of 'past' in the context gives us the idea that the action took place in the past.
• 'make' is in the present indefinite tense. Hence, its tense form is incorrect.
• So, to improve the sentence, we need to replace the word make.
• Of the given options, only 'made' (past tense) should replace the word 'make'.
• The rest of the options are grammatically incorrect.
• Hence, option 4 is the correct replacement for the underlined part.

Correct sentence - The sweet and bitter memories of her past made her weak and sad.

The correct answer is 'To like someone a lot'.

Key Points

• Have a soft spot for someone is an idiom that means to feel a great deal of affection for someone or like them a lot. 
• ​Example - Tarun had a soft spot for Rita.
• So, to like someone a lot is the most appropriate meaning of the given idiom.
• Hence, option 2 is the correct answer.

The correct answer is 'shrewd, targeted'.

Key Points

• First let us look into the meaning of the given word combinations in the options -

• | Option | Word 1 | Meaning | Word 2 | Meaning | | --- | --- | --- | --- | --- | | 1 | righteous | morally right or justifiable. | incorporated | take in or contain (something) as part of a whole; include. | | 2 | noble | having or showing fine personal qualities or high moral principles. | decided | make a choice from a number of alternatives. | | 3 | shrewd | having or showing sharp powers of judgement; astute. | targeted | select as an object of attention or attack. | | 4 | corrupt | having or showing a willingness to act dishonestly in return for money or personal gain. | vanished | disappear suddenly and completely. |

• Now the first blank of the given passage needs a word that would describe the cunning move taken by the robbers to fool the police.

• So, shrewd is the correct word for the first blank.

• Targeted is also appropriate for the second blank which needs a word to describe the action of the robbers regarding the locations they are robbing.

• Hence, option 3 or shrewd, targeted are the correct words for the given blanks.

Correct sentence - In a shrewd move, the robbers chose their next place of attack over 255 km away from the locations they had earlier targeted in Dewas.

The correct answer is 'Inspect'.

Key Points 

• Reconnoitre is a verb which means to make a military observation of (a region).
• Example - They reconnoitred the beach some weeks before the landing.
• The meaning of the given options are as follows - 
• Glance - take a brief or hurried look. - Shiela glanced at the clock.
• Disclaim - refuse to acknowledge; deny. - The school disclaimed any responsibility for his death.
• Inspect - look at (someone or something) closely, typically to assess their condition or to discover any shortcomings. - Customs officers came aboard to inspect our documents.
• Overlook - fail to notice. - He overlooked her many transgressions.
• From the above meanings it is evident that inspect is the correct synonym for the word reconnoitre.
• Hence, option 3 is the correct answer.

The correct answer is 'Revoke'.

Key Points 

• Rescind is a verb which means to cancel, or repeal (a law, order, or agreement).
• Example - Her driving license was rescinded after three warnings.
• The meaning of the given options are as follows - 
• Revoke - officially cancel (a decree, decision, or promise). - The men appealed and the sentence was revoked.
• Sign - write one's name on (a letter, card, document, etc.) to identify oneself as the writer or sender. - He signed reluctantly.
• Validate - check or prove the validity or accuracy of. - All analytical methods should be validated in respect of accuracy.
• Accredit - give credit to (someone) for something. - He was accredited with being one of the world's fastest sprinters.
• From the above meanings it is evident that revoke is the correct synonym for the word rescind.
• Hence, option 1 is the correct answer.

The correct answer is 'The police caught the thieves.'

Key Points

• ​The subject of the Passive Voice is changed into the object of the Active Voice. Also, the object of the Passive Voice is changed into the subject of the Active Voice.
• The removal of the helping verb and the preposition 'by' is necessary while changing the voice of the sentence from Passive to Active.
• The Passive voice in this question is in Past Indefinite. Thus, the Active voice will also be in Past Indefinite.
• In Passive voice, the format is: Object of the Active voice (Subjective case) + was/were + V3 + by + Subject of the Active voice (Objective case).
• Thus, the format of Active voice is: Subject + V2 + Object.
• For example:
• The Champions League was won by Real Madrid. (Passive Voice)
• Real Madrid won the Champions League. (Active Voice)
• The options except option (4) don’t follow the correct grammatical format of the Active Voice.

Therefore, the correct answer is: The police caught the thieves.

The correct answer is 'end something'.

Key Points 

• Pull the plug is an idiom that means to do something that prevents an activity from continuing, especially by no longer giving money to support it. 
• ​Example - If the viewing figures drop much more, the TV network will probably pull the plug on the whole series.
• So, end something is the most appropriate meaning of the given idiom.
• Hence, option 1 is the correct answer.

The erroneous spelling is 'Suspecious'.

Key Points

• The correct spelling for the word is suspicious which means having or showing a cautious distrust of someone or something.
• Example - He was suspicious of her motives.
• The meanings of the other options are as follows - 
• Possession - the state of having, owning, or controlling something. - She had taken possession of the house.
• Jealous - feeling or showing an envious resentment of someone or their achievements, possessions, or perceived advantages. - He was always jealous of his brother.
• Luxurious - extremely comfortable or elegant, especially when involving great expense. - These rooms are very luxurious.
• Hence, option 3 is the correct answer.

The correct answer is 'Better behaviour is expected from a senior student.'

Key Points

• The given sentence is in active voice. As per the question we have to change it into passive voice.
• The structure of the given sentence is as follows:
• Subject + infinitive + Object + adjunct (Active voice)
• Subject (objective case) + to be + past participle + Object (subjective case) + adjunct (Passive voice)
• Example: 
• The grocer sells fresh vegetables. (Active voice)
• Fresh vegetables are sold by the grocer. (Passive voice)
• The subject of the given sentence is ‘one’.
• The object of the given subject is ‘behaviour’.
• The subject will be put in place of the object and the object will be put in place of the subject.
• In case of the given sentence, the subject is an unknown entity. Thus it gets removed from the passive sentence.
• expects will be changed to is expected.
• Adjunct is a word or phrase that constitutes an optional element or is considered of secondary importance in a sentence
• In the given sentence, from a senior student is the adjunct.

Correct sentence - Better behaviour is expected from a senior student.

The correct answer is 'ADCB'.

Key Points

While arranging the parts of the passage, we should find some grammatical or contextual connections between them. Also, the first sentence of a passage is usually independent and introduces a topic. The second one provides more information about it. 

• Sentence A is the independent sentence and talks about how a giant once heard some lovely music.
• So, sentence A is the first sentence after rearrangement. It sets the scene for the rest of the passage.
• Sentence D describes the music the giant heard as being very sweet and explains what the giant thought about the music. Hence, D follows A.
• Sentence C which describes how the music came from a bird and why the giant thought differently should come after sentence D, to maintain continuity on the topic.
• Sentence B is the concluding statement of the passage as it provides further information regarding the next occurrences observed by the giant.
• Thus, the correct order after rearrangement is option 1 i.e. ADCB.

 So, the correct paragraph is : A. One morning the Giant was lying awake in bed when he heard some lovely music. D. It sounded so sweet to his ears that he thought it must be the King’s musicians passing by. C. It was really only a little linnet singing outside his window, but it was so long since he had heard a bird sing in his garden that it seemed to him to be the most beautiful music in the world. B. Then the Hail stopped dancing over his head, and the North Wind ceased roaring, and a delicious perfume came to him through the open casement. “I believe the Spring has come at last,” said the Giant; and he jumped out of bed and looked out.

The correct answer is 'Disagreeing with'.

Key Points 

• At loggerheads is an idiom that means that if two people or groups are at loggerheads, they disagree strongly about something.
• ​Example - He is at loggerheads with the Prime Minister over public spending.
• So, disagreeing with is the most appropriate meaning of the given idiom.
• Hence, option 3 is the correct answer.

The correct answer is 'disprove'.

Key Points 

• Ascertain is a verb which means to find (something) out for certain; make sure of.
• Example - There was an attempt to ascertain the cause of the accident.
• The meaning of the given options are as follows - 
• detect - discover or identify the presence or existence of. - Cancer may soon be detected in its earliest stages.
• approve - officially agree to or accept as satisfactory. - He approved the budget.
• disprove - prove that (something) is false. - He has given the Department of Transport two months to disprove the allegation.
• prove - demonstrate the truth or existence of (something) by evidence or argument. - The concept is difficult to prove.
• From the above meanings it is evident that disprove is the correct antonym for the word ascertain.
• Hence, option 3 is the correct answer.

The correct answer is 'Expedition'.

Key Points

• Let us look into the meaning of the words in the options - 
• Voyage - a long journey involving travel by sea or in space. - His voyage to America was long.
• Expedition - a journey undertaken by a group of people with a particular purpose, especially that of exploration, research, or war. - He was on an expedition to explore the Antarctic.
• From the above meanings it is clear that expedition is the best word to substitute the given group of words.

Hence, option 2 is the correct answer.

Additional Information

• Voyage (यात्रा) - a long journey involving travel by sea or in space.
• Example: Their voyage across the Atlantic Ocean took over a month.
• Expedition (अभियान) - a journey undertaken by a group of people with a particular purpose, especially that of exploration, research, or war.
• Example: The expedition to the South Pole was challenging but ultimately successful.
• Sojourn (ठहराव) - a temporary stay at a place.
• Example: During our trip, we had a brief sojourn in a quaint village in the mountains.
• Pilgrimage (तीर्थयात्रा) - a journey to a sacred place or shrine of importance to a person's beliefs and faith.
• Example: Every year, thousands make a pilgrimage to the holy city of Varanasi.

The correct answer is 'whole'.

Key Points

• Since we need to select the correct homonym from the given options, we can negate the word heal as it is not a homonym for the other words.
• Let us look into the meaning of the given homonyms - 
• whole - all of; entire. - He spent the whole day sleeping.
• hole - a hollow place in a solid body or surface. - The dog had dug a hole to hide the bone.
• haul - (of a person) pull or drag with effort or force. - We need to haul the boat out of the water.
• The given blank needs a word that would describe how the subject (she) was unable to finish a full pizza by herself.
• From the above meanings it is clear that whole is the correct homonym for the given blank.
• Hence, option 1 is the correct answer.

Correct sentence - She couldn’t eat the whole pizza by herself.

The correct answer is 'I was watching'.

Key Points

• There is an error in the tense used in the underlined part I am watching.
• The sentence is in the past tense (came into the room).
• I am watching is the present continuous tense form of the verb watch.
• So, we need to replace the underlined part with the past tense form of 'am' which is I was watching.
• Hence, option 2 is the correct answer.

Correct sentence -  I was watching a movie, when my mother came into the room.

The erroneous part is 'posted over the wall'.

Key Points

• In the segment posted over the wall there is an error in preposition usage.
• Over is a preposition used to talk about movement or position at a higher level than something else: A beautiful white bird flew over the lake.
• Hence, option 2 is the correct answer as it contains the erroneous segment.
• The sentence can be made correct by using the preposition on which is used to show that something is in a position above something else and touching it - The book is on the table.

Correct sentence - The notice / that the office / posted on the wall / is very appropriate.

The correct answer is 'between'.

Key Points

• The given blank needs a preposition to show the who are the people involved in the contract.
• Let us look into the usage of the given options as prepositions - 
• as - We use as with a noun to refer to the role or purpose of a person or thing: I worked as a waiter when I was a student.
• between - We use between when referring to one-to-one relationships. An agreement was made between the trade union and the company.
• before - We use before to mean earlier than the time or event mentioned: Can you call me back before 5 pm, please?
• beside - We use beside to mean "close to" or "next to." - The shop is beside the temple.
• From the above it is clear that between is the most appropriate option to fill in blank number 1.
• Hence, option 2 is the correct answer.

Complete passage - The contract (1) between the author and the reader is a game. And the game is one of the greatest inventions (2) of Western civilisation: the game of telling stories, inventing characters and creating the (3) imaginary paradise of the individual, from whence no one can be expelled (4) because, in a novel, no one owns the truth and everyone has the right to be (5) heard and understood.

The correct answer is 'of'.

Key Points

• The given blank needs a  preposition to show the link between inventions and Western civilisation.
• Let us look into the usage of the given options as prepositions - 
• in - We use it to indicate location or position within or inside something: We went for a swim in the lake.
• of - Of commonly introduces prepositional phrases which are complements of nouns, creating the pattern: noun + of + noun. This pattern is very common, especially to indicate different parts, pieces, amounts and groups: Lima is the capital of Peru.
• since - We use since as a preposition with a date, a time or a noun phrase: It was the band's first live performance since May 1990.
• about - The most common meaning of about as a preposition is 'on the subject of' or 'connected with': Do you know anything about cricket?
• From the above it is clear that of is the most appropriate option to fill in blank number 2.
• Hence, option 2 is the correct answer.

Complete passage - The contract (1) between the author and the reader is a game. And the game is one of the greatest inventions (2) of Western civilisation: the game of telling stories, inventing characters and creating the (3) imaginary paradise of the individual, from whence no one can be expelled (4) because, in a novel, no one owns the truth and everyone has the right to be (5) heard and understood.

The correct answer is 'imaginary'.

Key Points

• The given blank needs an adjective to describe the noun paradise as created by an author in their book.
• Let us look into the meaning of the given options - 
• plausible - (of an argument or statement) seeming reasonable or probable.
• imaginary - existing only in the imagination.
• drastic - likely to have a strong or far-reaching effect; radical and extreme.
• transparent - (of a material or article) allowing light to pass through so that objects behind can be distinctly seen.
• From the above it is clear that imaginary is the most appropriate option to fill in blank number 3.
• Hence, option 2 is the correct answer.

Complete passage - The contract (1) between the author and the reader is a game. And the game is one of the greatest inventions (2) of Western civilisation: the game of telling stories, inventing characters and creating the (3) imaginary paradise of the individual, from whence no one can be expelled (4) because, in a novel, no one owns the truth and everyone has the right to be (5) heard and understood.

The correct answer is 'because'.

Key Points

• The given blank needs a conjunction to show the reason why no one can be expelled.
• Off the given options only because is a conjunction while the other words can be used as preposition or adverb.
• When we use because, we are focusing on the reason: She spoke quietly because she didn't want Ratna to hear.
• From the above it is clear that because is the most appropriate option to fill in blank number 4.
• Hence, option 4 is the correct answer.

Complete passage - The contract (1) between the author and the reader is a game. And the game is one of the greatest inventions (2) of Western civilisation: the game of telling stories, inventing characters and creating the (3) imaginary paradise of the individual, from whence no one can be expelled (4) because, in a novel, no one owns the truth and everyone has the right to be (5) heard and understood.

The correct answer is 'heard'.

Key Points

• Let us look into the usage of the given options - 
• prejudiced - having or showing a dislike or distrust that is derived from prejudice; bigoted.
• neglected - suffering a lack of proper care.
• heard - perceive with the ear the sound made by (someone or something).
• removed - take (something) away or off from the position occupied.
• From the above it is clear that heard is the most appropriate option to fill in blank number 5.
• Hence, option 3 is the correct answer.

Complete passage - The contract (1) between the author and the reader is a game. And the game is one of the greatest inventions (2) of Western civilisation: the game of telling stories, inventing characters and creating the (3) imaginary paradise of the individual, from whence no one can be expelled (4) because, in a novel, no one owns the truth and everyone has the right to be (5) heard and understood.

Table of alphabet positional value:

 ‘PULSE’ is written as ‘QTMRF

 

HEART’ is written as ‘IDBQU

In the same way,

‘LIVER is written as MHWDS

Hence, "MHWDS" is the correct answer.

Given : 13 September 2003 is a Saturday

• Total number of days in a normal year = 365
• Total number of days in a leap year = 366
• Total number of odd days in a normal year = 365/7 = 1
• Total number of odd days in a leap year = 366/7 = 2
• 13 September 2003 (Saturday) + 2 odd days = 13 September 2004 (Monday)
• Total number of days from 13 September 2004 to 14 February 2005 = 17 (September) + 31 (October) + 30 (November) + 31 (December) + 31 (January) + 14 (February) = 154
• Total number of odd days from 13 September 2004 to 14 February 2005 = 154/7 = 0
• Starting from 13 September 2004, every 7^th day will be Monday.
• Since there is no odd day between 13 September 2004 and 14 February 2005, so 14 February 2005 will be held on Monday.

Hence, 'option 3' is the correct answer.

Exaplanation :

Table of english alphabet positional value:

  'GRAPES' is written as 'EPYNCQ'

And,

 ‘ROSE’ is written as ‘PMQC’

Similarly, 

'SAGE' is written as QYEC.

Hence, "QYEC" is the correct answer.

The logic followed here is

Logic: First number × 2 - 1 = Second number

1. 9 : 17 = 9 × 2 = 18 - 1 = 17

And,

2) 30 : 59 = 30 × 2 = 60 - 1 = 59

Similarly,

3) 22 : 43 = 22 × 2 = 44 - 1 = 43

Hence, 43 is the correct answer.

Explanation :

Hence, 82 is the correct answer.

Explanation :

The logic followed here is : Difference of Difference

Hence, 82 is the correct answer.

Here, we are given two dices and both have a common face i.e. 4. 

So, we will rotate the 2nd dice such a way that the face 4 will come in the same place as in 1st dice, as shown below:

Thus, we can see that, face 3 is opposite to face 4 as all the other faces numbers are shown except number 3.

 

Hence, there will be 3 dots on the face opposite to the one with four dots.

Here, we are given a pattern and using that pattern we need to find the answer.

The logic is as follows:

12 ×  3 + 1 = 37,

37 × 3 + 3 = 114,

114 × 3 + 5 = 347,

347 × 3 + 7 = 1048,

Thus, the pattern is each term is multiply by 3 starting from 2 term and then added by odd number starting from 1, to get the final answer as below:

1048 × 3 + 9 = 3153

Hence, the missing number is "3153".

Here, we need to find the pattern to get the missing word.

The pattern here is: The first three letters are written at the last, then the 4th letter remains in the same place and the last 3 letters are written first.

So, we have:

 

and 

Thus, going with the pattern for the word ENGLISH, we will get the answer as: ISHLENG

Hence, the word 'ISHLENG' is related to the fifth term.

BODMAS rule:

We are given with the equation as:

15 L (3 J 9) K (12 J 2) L (189 I 9) L 29 

Let us decode the given sign:

⇒ 15 + (3 × 9) - (12 × 2) + (189 ÷ 9) + 29

Using BODMAS rule, we will get,

⇒ 15 + (27) - (24) + (21) + 29

⇒ 15 + 27 - 24 + 21 + 29

⇒ 92 - 24

⇒ 68

Hence, the answer to the given equation is "68".

Here, we have a figure and we need to find the triangles in all.

Given: 

First we will take only one part (red colour) of the given figure as shown below:

Next, we will count the total number of triangles are: PSU, PSR, RSU, QST, QSO, OST. i.e. a total of 6 triangles. Similarly for the next triangle too (i.e. green colour).

And one small triangle (i.e. yellow colour) is there in the rectangle. 

Thus, a total number of triangles = 6 + 6 + 1 = 13 triangles,

Hence, there are 13 triangles.

The figure is given below:

The shaded portion is the embedded figure.

Hence, 'option 4' is the correct answer.

Here, we need to find the pattern to fill the missing letters.

As, we can see that after every 4 letters, the next letter is decrease by one to get the answer.

Given : D _ R X E C M R _ E _ M R X _ A M _ X E

First we will check all the options:

1) B X M E R: D B R X E - C M R X E - M M R X E  - A M R X E

2) E B X M R: D E R X E - C M R B E - X M R X M  - A M R X E

3) M X B E R: D M R X E - C M R X E - B M R X E  - A M R X E

4) X M B E R: D X R X E - C M R M E - B M R X E  - A M R X E

 In option 3, "M X B E R" is repeating itself. 

Hence, the missing blanks are 'M X B E R'.

The logic here is:

Hence, the missing number is 1223.

The pattern followed here is:

As we can see that,

1) Bear : Cub → Baby of Bear is called Cub. 

And,

2. Owl : Owlet → Baby of Owl is called Owlet.

Similarly,

3. Deer : ? → Baby of Deer is called Fawn.

Hence, the correct answer is Fawn.

The logic follows here is:

Logic: First number + (First number - 1)³

1. 4 : 31  → 4 : (4 + (4 - 1)³) = 4 : (4 + 27) = 4 : 31

And,

2. 7 : 223 → 7 : (7 + (7 - 1)3) = 7 : (7 + 216) = 7 : 223

Similarly,

3. 6 : ? → 6 : (6 + (6 - 1)3) = 6 : (6 + 125) = 6 : 131

Hence, the missing number is 131.

Here, we have paper which is folded two times and then cut the paper to make shapes on it.

When we will open the first fold we will get the image as shown below:

 

 

Hence, the correct answer is option 4.

Here, we have a equation and we need to find which of the following options will give the correct answer.

BODMAS Rule is:

<br>

Given : 16 * 4 * 8 * 10 * 2 * 16

So, we will substitute all the options one by one as shown below:

1) ×, ÷,–,+, =

$\Rightarrow$ 16 * 4 * 8 * 10 * 2 * 16

Substituting 1st option, we will get, 

$\Rightarrow$ 16 $\times$ 4 $\div$ 8 - 10 + 2 = 16 

Using the BODMAS rule, we will get,

$\Rightarrow$16 $\times$ 0.5 - 10 + 2 = 16

$\Rightarrow$ 8 - 10 + 2 = 16

$\Rightarrow$ 0 = 16, which is not possible. So, option 1 is not true.

2) –,÷,+,×, =

$\Rightarrow$ 16 * 4 * 8 * 10 * 2 * 16

Substituting 2nd option, we will get,

$\Rightarrow$ 16 - 4 $\div$ 8 + 10 $\times$ 2 = 16 

Using the BODMAS rule, we will get,

$\Rightarrow$16 - 0.5 + 10 $\times$ 2 = 16

$\Rightarrow$ 16 - 0.5 + 20 = 16

$\Rightarrow$ 35.5 = 16, which is not possible. So, option 2 is not true.

3) ÷,+,×,–, =

$\Rightarrow$ 16 * 4 * 8 * 10 * 2 * 16

Substituting 3rd option, we will get,  

$\Rightarrow$ 16 $\div$ 4 + 8 $\times$ 10 - 2 = 16 

Using the BODMAS rule, we will get,

$\Rightarrow$4 + 80 - 2 = 16

$\Rightarrow$ 82 = 16, which is not possible. So, option 3 is not true.

4) ÷,–,+, ×, =

$\Rightarrow$ 16 * 4 * 8 * 10 * 2 * 16

Substituting 4th option, we will get, 

$\Rightarrow$ 16 $\div$ 4 - 8 + 10 $\times$ 2 = 16 

Using the BODMAS rule, we will get,

$\Rightarrow$4 - 8 + 20 = 16

$\Rightarrow$ 16 = 16, which is not possible. So, option 4 is true.

Hence, the correct sign is '÷,–,+, ×, =' to get the correct equation

Here, the alphabetic order and its position is as shown below:

The logic follows here is as below:

Hence, the answer of the missing word is 'JXMZ'.

The logic here is:

Hence, the number 645 is the missing number.

The figure is given below:

The shaded portion is the embedded figure.

Hence, 'option 4' is the correct answer.

When the mirror is placed vertically to the objects/alphabets, the image formed will be laterally inverted. In other words, the Left Hand Side and Right Hand Side will interchange their positions while top and bottom will remain same.

 

Therefore, only option (4) follows this.

Hence, the correct answer is option(4)

The correct answer is option(4)

By using BODMAS (brackets of division, multiplication, addition and subtraction) and going by the options

Given equation : 48 * 6 * 17 * 3 * 12 * 5 * 1

Option (1)

48 × 6 - 17 = 3 + 12 × 5 + 1

288 - 17 = 3 + 60 + 1

271 = 64

LHS ≠ RHS

Option (2)

48 ÷  6 + 17 - 3 = 12 + 5 × 1

8 + 6 + 17 - 3 = 12 + 5

28 = 17

LHS ≠ RHS

Option (3)

48 + 6 = 17 - 3 × 12 + 5 ÷ 1

54 = 17 - 36 + 5

54 = 14 

LHS ≠  RHS

Option (4)

48 ÷ 6 + 17 × 3 = 12 × 5 - 1

8 + 51 = 60 -1

59 = 59

LHS = RHS

Hence, the correct answer is option (4)

Milky way galaxy has Solar system

Solar system has Earth.

Earth has Asia

Asia has India.

So the correct answer is 5.Milky way 1.Solar System 2.Earth 4.Asia 3.India

Hence, the correct answer is option (1)

The correct option is option (1)

These question can be solve by venn diagram.

Conclusions:

I. Some cyclones are rains. → Follows → (As, Some rains are cyclones  So, Some cyclones are rains is definite true)

II. No thunder is a cyclone. → Does not follow → (As there is no direct relation between thunder and cyclone, we can not find any definite relationship between them. So, No thunder is a cyclone is possible but not definite true.)

III.  No draught is a rain. → Does not follow → (As there is no direct relation between draught and rain, we can not find any definite relationship between them. So, No draught is a rain.  is possible but not definitely true.)

Hence, the correct answer is option (1)

Given:

A can do a piece of work in 15 days, but with the help of B, he can do it in 9 days.

Formula used:

If A take x days to complete work alone and B takes y days to complete the same work alone and A and B together take z days to complete the same work, then $\frac{1}{z}=\frac{1}{x}+\frac{1}{y}$ 

Calculation:

Let B alone can do the work in x days.

Then, $\frac{1}{9}=\frac{1}{15}+\frac{1}{x}$

Solving for x,

$\frac{1}{x}=\frac{1}{9}-\frac{1}{15}=\frac{15-9}{15\times9}=\frac{6}{135}=\frac{2}{45}$

Therefore, x = 45/2 = 22.5 

∴ B alone can do the same work in 22.5 days.

Alternate MethodCalculation:

Now,

B efficieny = (5 - 3) = 2 units

So, B can alone complete the work = 45/2 = 22.5 days

∴ The correct answer is 22.5 days.

Given:

Income  in the year 2015 = 60 lakhs

Expenditure in the year 2015 = 30 lakhs

Income in the year 2017 = 80 lakhs

Expenditure in the year 2017 = 60 lakhs

Formula used:

Profit = Income - Expenditure

Calculations:

Profit in 2015 = 60 - 30 = 30 lakhs

Profit in 2017 = 80 - 60 = 20 lakhs

The difference in the profit = 30 - 20 = 10 lakhs

The difference in profit between 2015 to 2017 is 10 lakhs

Given:

sin18º = $√5-1\over4$ 

Formula used:

$sin^2x+cos^2x=1$

Calculation:

Using $sin^2x+cos^2x=1$

$cosx=√{1-sin^2x}$.

Substituting 18º for x and $√5-1\over4$ for sin 18º in the above equation,

$cos18^0 =√{1-sin^218^0}=√{1-\left({√5-1\over4}\right)^2}=√{1-{5+1-2√5\over16}}=√{{16-6+2√5\over16}}={√{10+2√5}\over4}$

∴ The value of cos18º is ${√{10+2√5}\over4}$

Alternate Methodsin θ = Perpendicular/Hypoteneous = p/h

cos θ = Base/Hypoteneous = b/h

sin18º = $√5-1\over4$ 

Here, p = √5  - 1, h = 4 

Now, By Pythagoras's theorem

h² = p² + b² 

⇒ 4² = (√5  - 1)² + b² 

⇒ b = $\sqrt{10+2\sqrt5}$

Cos 18° = $\sqrt{10+2\sqrt5}\over4$

Given

Isha gets 6 bangles free of cost on buying 24 bangles.

Formula used:

Discount percentage = $\frac{\text {No. of free items}}{\text {total no. of items}} × 100$  

Calculation: 

Divide 6 by 30 and multiply by 100.

(6/30) × 100 = 20%

Therefore, Isha got a discount of 20%.

GIVEN:

4 students' marks in different subjects.

FORMULA USED:

Aggregate marks = Total marks obtained in all subjects/ No. of subjects.

CALCULATION:

Sum of marks obtained by P in 4 different subjects = ( 65 + 75 + 72 + 58) = 270

Sum of marks obtained by Q in 4 different subjects = ( 73 + 67 + 78 + 52) =  270

Sum of marks obtained by R in 4 different subjects = ( 71 + 59 + 55 + 65 ) =  250

Sum of  marks obtained by S in 4 different subjects = ( 57 + 73 + 58 + 71) =  259.

Aggregate marks obtained by P = 270/ 4 = 67.5

Aggregate marks obtained by Q = 270/4= 67.5

Aggregate marks obtained by R = 250/ 4 = 62.5

Aggregate marks obtained by S = 259/4 =  64.75.

Hence, R obtained the lowest aggregate marks among all the 4 students, i.e. 62.5.

Given

Cost of type 1 rice per kg = Rs 40 

Cost of type 2 rice per kg= Rs 47.5 

The combined cost of 15 kg of rice = 645

Calculation

Cost of combined rice per kg = total cost /quantity

⇒ 645/15 = Rs 43 

Let the quantity of type 1 rice be A and type 2 rice be B

A + B = 15 kg    ----(equation 1)

Total cost of rice = (A $\times$ 40) + (B $\times$ 47.5) = 645      ----(equation 2)

Equating these two, we get

A = 9 kg, B = 6 kg

The quantity of the rice that cost ₹47.50 per kg is 6 kg

Shortcut Trick 

Quantity of cheaper = A

Quantity of dearer = B

$\frac{A}{B}=\frac{47.5-43}{43-40}=1.5$     (Equation 3)

Using equations 1 and 3 we get

A + B = 15 kg    ----(equation 1)

⇒ 1.5 B + B = 15

⇒ 2.5 B = 15

⇒ B = 6

From equation 1 

A = 9kg

∴ The quantity of the rice that cost ₹47.50 per kg is 6 kg

Given:

Average of 10 students = A

Average of 15 students = A + 8

The total marks obtained by the group of 10 students is X and the total marks obtained by the group of 15 students is Y with  X : Y = 3 : 5

Formula used:

Sum of observations =  average × no. of observations

Calculation:

Here, X = 10A      ...(1)

and  Y = 15 (A + 8)     ...(2)

Dividing (1) by (2),

⇒ $\frac{X}{Y}=\frac{10A}{15(A+8)}=\frac{3}{5}$

Solving for A,

⇒ 10A = 9A + 72

⇒ A = 72

Adding (1) and (2) with A = 72,

X + Y = 10 × 72 + 15 × (72 + 8) = 720 + 1200 = 1920

∴ A + X + Y = 72 + 1920 = 1992

Given:

Two trains leave Agra for Calcutta at 9:00 a.m. and 9:30 a.m., respectively, and travel at 240 km/h and 300 km/h, respectively. 

Formula used:

Distance = speed × time

Calculation:

The relative speed of the faster train as seen by the slower train is 300 - 240 = 60 km/h.

The separation between the two trains when the second leaves at 9.30 am is 240 × 0.5 = 120 km.

Time taken for the faster train to cover a distance of 120 km with respect to the slower train is $\frac{120}{60} = 2$ hr.

The total distance travelled by the faster train from Agra, to meet the first train, is 300 × 2 = 600 km.

∴ The two trains will meet at a distance of 600 km from Agra.

Given:

4(z + 7)(2z – 1) = Az2 + Bz + C 

Calculation:

Simplifying the left-hand side of the given equation,

4(z + 7)(2z – 1) = 8z² + 52z - 28

On comparing this expression with the right-hand side of the given equation, 

A = 8, B = 52 and C = -28

∴ The value of A2 – B – C = (8)² - 52 - (-28) = 64 - 52 + 28 = 40

Given:

A container in cylindrical shape whose diameter is 14 cm and height is 25 cm.

Formula used:

Radius of the cylinder, r = diameter/2

Total surface area of the cylinder = $2\pi r(h+r)$

Calculation:

Radius of the cylinder = $\frac{14}{2}=7cm$

Total surface area of the cylinder = $2\times \frac{22}{7}\times 7\times(25+7)=1408cm^2$

∴ The total surface area of a container in cylindrical shape whose diameter is 14 cm and height is 25 cm is 1408 cm2

Given:

Principle amount of Rs. 10000 compounded for 1$1\over2$ years at 4% per annum, yearly and half-yearly.

Formula used:

Present value = $P\left( 1+ \frac{r}{100}\right)^{n}$, where P is the principle amount, r is the annual interest rate and n is time in years.

Calculation:

When compounded yearly: 

The value after first year = 10000(1 + 0.04)¹ = 10400

The value after 1.5 years = 10400(1 + 0.5 × 0.04) = 10608

When compounded half-yearly, n = 1.5 × 2 = 3, r = 0.5 × 4 = 2%. 

The value after 1.5 years = 10000(1 + 2/100)³ = 10612.08

∴ The difference between the compound interest on ₹ 10,000 for 1$1\over2$ years at 4% per annum compounded yearly and half-yearly is 10612.08 - 10608 = Rs. 4.08

Given:

A table showing the marks scored out of 100 by Amit, Bablu, Cavin and Darshan in 5 subjects is given.

Formula used:

Average = $\frac{\text {sum of all observations}}{\text {no. of observations}}$

Calculation:

Average of Amit = $\frac{98+95+96+89+96}{5}=94.8\%$

Average of Bablu = $\frac{89+95+97+86+95}{5}=92.4\%$

Average of Cavin = $\frac{96+99+94+87+94}{5}=94\%$

Average of Darshan = $\frac{88+94+96+88+98}{5}=92.8\%$

∴ Cavin secured an average score of exactly 94%.

Given:

 A Rs. 3,000 worth of products can be sold either by giving three successive discounts of 10% each, or by giving a single discount of 30%.

Formula used:

Final price = $\frac{100-\text {discount}}{100}\times \text {marked price}$

Calculation: 

Final price with three successive discounts of 10% each = 0.9 × 0.9 × 0.9 × 3000 = Rs. 2187

Final price with single discount of 30% = 0.7 × 3000 = Rs. 2100

∴ If a buyer chooses the former option, he will pay Rs 87 extra as compared to the second option.

Given:

At an election there were two candidates. A candidate got 38% of votes and lost by 7200 votes.

Formula used:

Value of a part = $\frac{\text {percentage}}{100}\times\text{value of whole}$

Concept used:

Total votes = Number of votes winning candidate got + Number of votes loosing candidate got

Calculation: 

Let the total number of valid votes be x.

Then, A got '0.38x' number of votes and B get '0.62x' number of votes. 

Since A lost by 7200 votes,

0.62x - 0.38x = 7200

⇒ $x=\frac{7200}{0.24}=30000$

∴ The total number of valid votes is 30000.

Given:

x5 - 10x4 + 10x3 - 10x2 + 10x -1

Calculation:

Substituting x = 9 in x5 - 10x4 + 10x3 - 10x2 + 10x - 1, 

9⁵- 10(9)4 + 10(9)3 - 10(9)2 + 10(9) -1 = 8

∴ If x = 9, then the value of x5 - 10x4 + 10x3 - 10x2 + 10x -1 is 8.

 Alternate Method

Given:

x5 - 10x4 + 10x3 - 10x2 + 10x -1

Calculation:

Substituting x = 9 in x5 - 10x4 + 10x3 - 10x2 + 10x - 1, 

95- 10(9)4 + 10(9)3 - 10(9)2 + 10(9) -1 

Write 10 as (9 +1).

Then, 95- (9+1)(9)4 + (9 +1)(9)3 - (9+1)(9)2 + (9+1)(9) -1

⇒  95-  95 - 94 + 94 + 93 - 93 - 92 + 92 +9 -1 = 8

∴ If x = 9, then the value of x5 - 10x4 + 10x3 - 10x2 + 10x -1 is 8.

Given:

Two numbers are given, 42 and 63.

Formula used:

If a, b, c are in proportion then, $\frac{a}{b}=\frac{b}{c}$

Calculation:

Let the third proportional of of 42 and 63 be x.

Then, $\frac{42}{63}=\frac{63}{x}$

Solving for x,

$x=\frac{63\times63}{42}=94.5$

∴ The third proportional of 42 and 63 is 94.5

Given:

A man travelled by car from city A to city B at a speed of 24 km/h and returned from city B to city A at 16 km/h.

Formula used:

Time taken = Distance/Speed

Average speed = Total distance travel/Total time taken

Calculation:

Let the distance between the cities A and B be 'd'.

Then, time taken for the car to move from city A to city B at a speed of 24 km/h is $\frac{d}{24}$ hours.

And, time taken for the car to move from city B to city A at a speed of 16 km/h is $\frac{d}{16}$ hours.

Average speed = $\frac{2d}{\frac{d}{24}+\frac{d}{16}} = \frac{2× 24×16}{40}=19.2$ km/h.

∴ The average speed of the man for the whole journey is 19.2 km/h

Alternate MethodCalculation:

Average speed = (2 × S₁ × S₂)/ S₁ + S₂

⇒ (2 × 24 × 16)/ 40

⇒ (16 × 12)/ 10 = 19.2 km/h

∴ The correct answer is 19.2 km/h.

Given:

A solid toy is in the shape which is a combination of a cylinder, cone and a hemispherical bowl. The cylinder contributes to 50% of the total volume of the toy and the cone contributes to 20% of the volume.

Formula used:

Ratio of a, b, c is a : b : c.

Calculation:

If the cylinder contributes to 50% and the cone contributes to 20% of the total volume, then the hemispherical bowl contributes to 30% of the total volume.

The ratio of the three volumes (cone, cylinder, hemisphere) is 20 : 50 : 30 = 2 : 5 : 3.

∴ The ratio of the contribution (in terms of volume) of the cone, cylinder and hemispherical bowl is 2 : 5 : 3

Given:

{(28 - 33) + 99} + 136 ÷ 4 × 5 - (44 - 22)

Formula used:

Calculation:

Therefore, 

{(28 - 33) + 99} + 136 ÷ 4 × 5 - (44 - 22)

= {(28 - 27) + 99} + 136 ÷ 4 × 5 - (44 - 4)

= 100 + 136 ÷ 4 × 5 - 40 = 100 + 34 × 5 - 40

= 100 + 170 - 40 = 270 - 40 = 230

Hence, {(28 - 33) + 99} + 136 ÷ 4 × 5 - (44 - 22) = 230.

Given:

Sector of a circle of radius 7 cm with a central angle of 90°.

Formula used:

Area of a sector of a circle = $\frac{\theta}{360}\pi r^2$, where $\theta$ is the central angle and r is the radius.

Calculation:

Substitute 90 for $\theta$ and 7 for r in the formula $\frac{\theta}{360}\pi r^2$.

$\frac{90}{360} \times \frac {22}{7} \times 7^2 = 38.5 cm^2$

Therefore, the area of the given sector is 38.56 cm².

Given:

A company gives a discount of 20% on the marked price of an article and gains 20% on that particular article.

Formula used:

Discount = $\frac{\text {marked price - selling price}}{\text {marked price}} × 100$

Calculation:

Let the marked price of the article be Rs. 100.

Then, a discount of 20% will be Rs 20.

This means that the article was sold for Rs. 80.

Let the cost price be x.

Then, $\frac{120}{100} × x = 80$

Hence, the cost price is $x = \frac{100}{120} × 80 = {200\over3}$

And, $\frac{100 - {200\over3}}{200\over3} × 100 = 50$

Therefore, the company marks its article above the cost price by 50%.

Shortcut TrickCalculation:

⇒ ${C.P\over M.P} = {100 - 20\% \over100 + 20 \%}$

⇒ ${C.P\over M.P} = {80\% \over120\%}$

CP : MP = 2 : 3

Markup % = (1/2) × 100 = 50 %

∴ The correct answer is 50 %.

Given:

The length, breadth and height of a cuboid are 90cm, 50cm and 4m, respectively.

 Formula used:

Total surface area of a cuboid = 2 × {length × breadth + length × height + breadth × height}

Calculation:

The total surface area of the given cuboid is 2 × {0.9 × 0.5 + 0.9 × 4 + 0.5 × 4} = 2 × {0.45 + 3.6 + 2} = 2 × 6.05 = 12.1 m²

Therefore, the total surface area of the given cuboid is 12.1 m2

Given:

Natural numbers divisible by 5 from the integers -10 to 35.

Formulas used:

Sum of an AP is $S = \frac {n}{2} \times (a+l)$, where n is the number of terms, a is the first and l is the last term.

Average = Sum of all terms/Total number of terms

Calculation:

The natural numbers divisible by 5 from the integers -10 to 35 is an arithmetic progression 5, 10, 15, 20, 25,30, 35 with a common difference of 5.

The sum of these natural numbers is $S = \frac {7}{2} \times (5+35) = \frac {7}{2} \times 40 = 140$

Therefore, the average of the given natural numbers is $\frac {140}{7} = 20$.

Mistake Points

The question says, The average of the natural numbers divisible by 5 from the integers -10 to 35

 

Since, -10 and -5 are not the natural numbers, so we can not consider them.

 

Please read the question carefully and solve it accordingly.

Given:

2x + y = 8 and xy = 6

Formula used:

a² + b² = (a + b)² - 2ab

Calculation:

The expression 4x2 + y2  can be written as 4x² + y² = (2x + y)² - 4xy

Substitute (2x + y) = 8 and xy = 6, in the above equation.

4x² + y² = 8² - 4 × 6 = 64 - 24 = 40

Therefore, if 2x + y = 8 and xy = 6, then find the value of 4x2 + y2 is 40.

Shortcut Trick

The longest stick that can fit inside a cubical vessel is equal to its body diagonal.

Body Diagonal of a cube = a√3, where a is the side length.

Given, a = 20 cm

Body Diagonal = 20 × √3 cm

∴ The correct answer is 20√3 cm.

Alternate Method

Given:

Edge of the cubical vessel, a = 20 cm

Formula Used:

The length of the longest stick that can be fitted in a 3D box or cuboid is its body diagonal.

Body Diagonal of a Cube = √(a² + a² + a²) = a√3

Calculations:

⇒ Length of longest stick = 20 × √3

⇒ Length of longest stick = 20√3 cm

∴ The correct answer is 20√3 cm.

Additional Information

Diagonal of a Cuboid

The length of the longest pole that can be placed in a rectangular room of dimensions l × b × h is its space diagonal, given by √(l² + b² + h²).

Face Diagonal of a Cube

The longest line that can be drawn on a single flat face of a cube is its face diagonal, calculated as a√2.

Surface Area and Volume

For a cube of side a, the Volume is a³, the Lateral Surface Area is 4a², and the Total Surface Area is 6a².

The correct answer is Hari Prasad Chaurasia.

Key Points

• Pandit Hariprasad Chaurasia is a world-renowned exponent of the bansuri or bamboo flute.
• He is one of those rare classical musicians who expanded the peripheries of classical music by taking it to the common masses.
• Pandit Hariprasad Chaurasia is an internationally renowned exponent of the 'bansuri', or the bamboo flute and is the recipient of the Padma Vibhushan and Padma Bhushan awards, which are among the three highest civilian awards in India.
• This musician has donned many hats — of an extraordinary flute artiste, titan of Hindustani classical genre and music director.

Additional Information

• ​Anjanibai Malpekar (22 April 1883 – 7 August 1974) was a noted Indian classical singer, belonging to the Bhendibazaar gharana of Hindustani classical music.
• Meera Banerjee's performances drew appreciation from senior and contemporary musicians wherever she went.
• Pandit Ajoy Chakrabarty (born 25 December 1952) is an Indian Hindustani classical vocalist, composer, lyricist and an exponent of the Patiala-Kasur gharana.

The correct answer is Patiala.

Key Points

• Asian Games and Commonwealth Games gold medallist Neeraj Chopra threw an attempt of 88.07m to create a new national record in the javelin throw event at the Indian Grand Prix 3 at the National Institute of Sports (NIS), Patiala .
• Neeraj Chopra's national record javelin throw matched or surpassed only 3% times since 1986.
• Neeraj Chopra won the men's javelin throw gold medal at the Tokyo 2020 Olympics.

Additional Information

• ​The javelin throw is a track and field event where the javelin, a spear about 2.5 m (8 ft 2 in) in length, is thrown.
• The javelin thrower gains momentum by running within a predetermined area.
• Javelin throwing is an event of both the men's decathlon and the women's heptathlon.
• In international competition, men throw a javelin between 2.6 and 2.7 m (8 ft 6 in and 8 ft 10 in) in length and 800 g (28 oz) in weight, and women throw a javelin between 2.2 and 2.3 m (7 ft 3 in and 7 ft 7 in) in length and 600 g (21 oz) in weight.

The correct answer is Mahatma Gandhi.

Key Points

• Mohandas Karamchand Gandhi  2 October 1869 – 30 January 1948), commonly known as Bapu, was an Indian lawyer, anti-colonial nationalist and political ethicist.
• Gandhi employed nonviolent resistance to lead the successful campaign for India's independence from British rule.
• The Story of My Experiments with Truth is the autobiography of Mahatma Gandhi, covering his life from early childhood through to 1921.

Additional Information

• B. R. Ambedkar was popularly known as Babasaheb Ambedkar and everyone knows that he was one of the architects of the Indian Constitution.
• Waiting for a Visa is a 20-page autobiographical life story of B. R. Ambedkar written in the period of 1935–36.
• An Autobiography, also known as Toward Freedom (1936), is an autobiographical book written by Jawaharlal Nehru while he was in prison between June 1934 and February 1935, and before he became the first Prime Minister of India.
• Bhagat Singh', he is considered a national hero of India's freedom struggle against colonial rule.

The correct answer is Sarod.

Key Points

• Rajeev Taranath (born 17 October 1932) is an Indian classical musician who plays the sarod. Taranath is a disciple of Ali Akbar Khan.
• He gave his first public vocal performance when he was nine years old.
• Rajeev was singing for the All India Radio before he was twenty.
• He is respected for his in-depth understanding as he unfolds the raga, the tonal quality and power of his strokes.

Additional Information

• Distinguished players of the tabla include Alla Rakha Khan and his son Zakir Hussain.
• Hariprasad Chaurasia (born 1 July 1938) is an Indian music director and classical flautist, who plays the flute, in the Hindustani classical tradition.​
• Pandit Shivkumar Sharma (13 January 1938 – 10 May 2022) was an Indian classical musician and santoor player who is credited with adapting the santoor for Indian classical music.

The correct answer is Odissi.

Key Points

• Shrimati Kumkum Mohanty is an incredibly popular Odissi artist.
• Kumkum Mohanty has been regarded with the Sangeet Natak Foundation Grant in 1994.
• Odissi dance pays extraordinary significance to Ruler Jagannath who is viewed as the divine force of the universe and is venerated by individuals of Orissa.
• Master Pankaj Charan Das was an Indian old style artist, choreographer, and the Ādi Master of Odissi dance.

Additional Information

• Jharkhand perception of Jharkhand moves is chhau, an intricate concealed dance of the southeastern area, especially the Saraikela and East Singhbhum locale.
• Lai Haraoba is the earliest type of dance in Manipur, and it shapes the premise of every single such dance. Lai Haraoba is a celebration actually seen in the state.
• Bharatanatyam is customarily a group execution workmanship that comprises an independent artist, joined by performers and at least one vocalist.