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

The correct answer is 'I was washing the car'.

Key Points

• The structure of the active form of 'Past Continuous Tense' is: Subject+was\were+V+ing+Object.
• E.g.​- Ram was eating a mango. (Active Form)
• A mango was being eaten by Ram. (Passive Form)

Hence, the correct answer is 'I was washing the car'.

Additional Information

• When the verb of a sentence is in the active voice, the subject is doing the acting, as in the sentence “Kevin hit the ball.”
• Kevin (the subject of the sentence) acts in relation to the ball.
• A verb is in the passive voice when the subject of the sentence is acted on by the verb.
• For example, in “The ball was thrown by the pitcher,” the ball (the subject) receives the action of the verb,

                    and was thrown is in the passive voice.

• The same sentence cast in the active voice would be, “The pitcher threw the ball.”

The erroneous part is 'he travels by foot'.

Key Points

• 'On foot' is the more commonly used expression. It originates from the fact that 'on' is usually used for actions involving body parts.
• E.g.- He went to the temple on foot.
• 'By' is usually used to talk about a means of transport (i.e. train, car, boat, plane, etc).
• He goes to the office by train.

Hence, the correct answer is: Whenever he is  on a holiday, he travels on foot to the temple nearby.

The correct answer is 'Largest share'.

Key Points

• Lion's share: The largest part or most of something. 
• E.g.-  She claimed the lion's share of the credit for the show's success.

Hence, the correct answer is 'Largest share'.

The correct answer is 'advised'.

Key Points

• The given sentence is in the form of 'Past Perfect Tense+would have+v3'.
• It belongs to the 'Third Conditional Sentence'. 
• E.g.- If you had helped me, I would have helped you.

Additional Information

• A conditional sentence is based on the word 'if'.
• There are always two parts to a conditional sentence – one part beginning with 'if' to describe a possible situation and the second part which describes the consequence.
• For example: If it rains, we'll get wet.

The correct answer is 'The cyclone destroyed all the electric poles in the suburbs last year'.

Key Points

• The given sentence is in Passive Voice. As per the question we have to change it into Active Voice.
• The structure of the given sentence is as follows:
• ​Subject + V² + Object. (Active Voice)
• Subject(objective case) + was/were +V³ + Object(subjective case). (Passive Voice)
• Example:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• ​The subject of the given sentence is 'All the electric poles'.
• The object of the given sentence is 'the cyclone'.
• The subject will be put in place of the object and the object will be put in place of the subject.
• And 'were destroyed' will be changed into 'destroyed'.

​Correct sentence: The cyclone destroyed all the electric poles in the suburbs last year.

The correct answer is 'DBCA'.

Key Points

• While arranging the parts of the passage, we should find some grammatical or contextual connections between them-
• ​D is the first sentence as it describes the difference in the water level is created in the manometer.
• B is the second sentence as it describes the measures of the pressure of the water levels in the U - tube.
• C is the third sentence as it describes you will again see the difference in the water level if you immerse the funnel into a bucket of water.
• A is the last sentence as it concludes the deeper you immerse it, the greater will be the difference.

Thus, the correct order is DBCA:

• d. When you gently apply pressure on the rubber film with your palm, you will find that a difference in the water level is created in the manometer.
• b. This difference in the levels in the U-tube is a measure of the pressure applied by your palm.
• c.  If you immerse the funnel into a bucket of water, you will again see the difference in the water level in the U-tube.
• a. The deeper you immerse it, the greater will be the difference in the water level.

The correct answer is 'Neighbour's'.

Key Points

• The correct spelling is 'Neighbour's' which refers to a person who lives near you.
• Ex -  I got chatting with my neighbour in the garden.

Therefore, the correct answer is Option 4.

The correct answer is 'Deceitful'.

Key Points

• Let us understand the meaning of the marked option:
• Candid -  saying exactly what you think, genuine, etc.
• Deceitful - dishonest; trying to make somebody believe something that is not true.
• Example - I don't know how candid you can be with John.

After seeing the above explanation we can say that opposite of 'Candid' is 'Deceitful'.

Additional Information

• Let us understand the meaning of the other given options:
• Blunt - used about a knife, pencil, etc. without a sharp edge or point.
• Sincere - believing what you say(used about a person); not pretending.
• Unconventional - not based on or conforming to what is generally done or believed.

The correct answer is 'Interpret'.

Key Points

• Decipher: To succeed in reading or understanding something that is not clear (कूट लेखन को पढ़ लेना या समझ लेना)
• ​E.g.- It’s impossible to decipher his handwriting.
• Interpret: To explain or understand the meaning of something (किसी के अर्थ को समझाना)
• ​E.g.- Your silence could be interpreted as arrogance.

Hence, the correct answer is 'Interpret'.

Additional Information

• Calculate: To find something out by using mathematics (गणना करना)
• E.g.​- It’s difficult to calculate how long the project will take.
• Create: To cause something new to happen or exist (कुछ नया उत्‍पन्‍न करना)
• E.g.​- A plan to create new jobs in the company**.**
• ​Interrogate: To ask somebody a lot of questions over a long period of time (किसी से लंबी पूछताछ करना)
• ​E.g.- The prisoner was interrogated for six hours.

The correct answer is 'Option 4'.

Key Points

• The type of the sentence is passive voice.
• The tense of the given sentence is Present Perfect.
• In the given sentence, 'The utensils' act as the object in the active voice and as the subject in the passive voice form.
• Passive Format: Subject + have/has been + past participle (V3) + (by + agent).
• Active Format: Subject + have/has + past participle (V3).
• Example:
• Passive example: The letter has been mailed.
• Active example: Someone has mailed the letter.

Therefore, the correct answer is- "Someone has cleaned the utensils."

Additional Information

• Option 1, "Someone is cleaning the utensils," suggests an action that is currently in progress (Present Continuous tense), which does not match the completeness implied by the Present Perfect tense in the original sentence.
• Option 2, "Someone was cleaning the utensils," implies a past continuous action, which is not compatible with the original sentence's Present Perfect tense, indicating an action that has been completed at some point in the past but is relevant in the present moment.
• Option 3, "Someone cleaned the utensils," uses Simple Past tense, indicating a completed action in the past with no direct implication of its relevance to the present moment, which differs from the Present Perfect tense's usage in the original sentence.

Important Points

• When changing from active to passive voice (or vice versa):
• The tense of the sentence should not be changed.
• Only the structure is altered to shift focus between the doer and the receiver of the action.

The correct answer is 'discord surfaced'.

Key Points

• The most appropriate option for the given blank is 'discord surfaced'.
• Here, 'a note of discord' is a phrase.
• It means 'the state of not agreeing or sharing opinions (राय से सहमत या साझा नहीं करने की स्थिति)'.
• Example: A note of discord has crept into relations between the two countries.
• Let's look at the meaning of other words:
• friction: the rubbing of one surface or thing against another. (एक वस्‍तु की सतह का दूसरी से रगड़ खाना; रगड़, घर्षण)
• grievance: something that you think is unfair and that you want to complain or protest about. (शिकायत; व्‍यथा)
• strife: trouble or fighting between people or groups. (लोगों या गुटों के बीच संघर्ष, विवाद या झगड़ा)
• Thus, the correct answer is Option 2.
  

​Correct Sentence: A note of discord surfaced during the leaders' meeting at the UN.

The correct answer is 'Surprise'.

Key Points

• Startle: To surprise somebody in a way that slightly shocks or frightens him (किसी को थोड़ा परेशान करते या डराते हुए आश्‍चर्य में डाल देना)
• E.g.​- The gunshot startled the horses.
• Surprise: To make somebody feel surprised (किसी को आश्‍चर्यचकित करना)
• E.g.​- It wouldn’t surprise me if you get the job.

Hence, the correct answer is 'Surprise'.

Additional Information

• Scare: To make a person or an animal frightened (व्यक्ति या वस्‍तु को डरा देना, भयभीत कर देना)
• E.g.​- The sudden noise scared us all.
• Humiliate: To make somebody feel very embarrassed (किसी को नीचा दिखाना)
• E.g.​- I felt humiliated when the teacher laughed at my work.
• Shame: A fact or situation that makes you feel disappointed (लज्‍जाजनक वास्‍तविकता या स्थिति)
• E.g.​- It’s a shame about Anand failing his exams.

The correct answer is 'Lose the job'.

Key Points

• Get the axe - Be discharged or fired, expelled, or rejected.
• Example - I'm going to get the axe if the boss finds out that printing error was my fault.

Therefore, the correct answer is 'Lose the job'.

The correct answer is 'To defeat someone'.

Key Points

• Wipe the floor with someone - inflict a humiliating defeat on.
• Example - They wiped the floor with us in a 3-0 win.

Therefore, the correct answer is 'To defeat someone'.

The correct answer is 'Quash'.

Key Points

• Let us understand the meaning of the marked option:
• Quash - to say that an officially decision is no longer true or legal.(यह कहना कि आधिकारिक तौर पर लिया गया निर्णय अब सत्य या कानूनी नहीं है)
• Example - They moved to quash the indictment on which he was brought to trial.

Therefore the correct answer is 'Quash'.

Additional Information

• Let us understand the meanings of the other given options;
• Reiterate - to say something again, once or several times. (किसी बात को दोबारा, एक बार या कई बार कहना)
• Putrid - smelling bad after being dead (used about dead animals and plants) for sometime. (कुछ समय तक मृत रहने (मृत जानवरों और पौधों के बारे में प्रयुक्त) के बाद दुर्गंध आना)
• Putrefy - to decay, producing a strong, unpleasant smell. (सड़ना, एक तेज़, अप्रिय गंध पैदा करना)

The correct answer is 'Melancholic'.

Key Points

• The most appropriate word for the given blank is 'melancholic'.
• Melancholic means feeling or expressing pensive sadness(गहन उदासी महसूस करना या व्यक्त करना).
• Example: His work often has a wistful or melancholic mood.

Therefore, the correct answer is 'Option 4'.

Additional Information

• Let us understand the meaning of the other options:
• ​Jovial - happy and friendly.(खुश और मिलनसार)
• Smug - too pleased with yourself.(अपने आप से बहुत प्रसन्न।)
• Joyful - very happy.(बहुत खुश)

Hence, the correct sentence is The death of her father had made her sullen and melancholic.

The correct answer is 'Supercede'.

Key Points

• The incorrectly spelt word among the following is 'Supercede'
• As the correct spelling would be 'Supersede' which means take the place of (a person or thing previously in authority or use).
• Hence the correct answer to the question is 'Supercede'.

Additional Information

 let's look at the meaning of other words,

• Indefatigable: never willing to admit defeat.
• Autopsy: the cutting open and examination of a dead body in order to discover the cause of death.
• Anonymous: made or done by someone whose name is not known or not made public.

The correct answer is 'Refined'.

Key Points

• Vulgar means not suitable, simple, dignified or beautiful; not in the style preferred by the upper classes of society.
• Refined means made pure by removing unwanted material.
• Thus the correct antonym for the word 'Vulgar' is 'Refined'.

Additional Information let's look at the order word meanings;

• Senior: high or higher in rank.
• Decreased: make or become smaller or fewer.
• Ignorant: lacking knowledge or awareness in general.

The correct answer is 'Jovial'.

Key Points

• The one-word substitute for Merry, convivial, hearty and  good-humoured is Jovial.
• Hence the correct answer is Jovial.

Additional InformationThe other words' meanings are;

• Jowl: the lower part of a person's or animal's cheek.
• Joyous: full of happiness and joy.
• Jubilee: a special anniversary especially: a 50th anniversary.

The correct answer is 'Preamble'.

Key Points

• Overture: an initiative toward agreement or action; proposal.
• Preamble an introductory statement.
• Thus according to the meaning, the correct synonym for Overture is Preamble.

Additional Information Let's look at the other words meaning;

• Slander: a false and defamatory oral statement about a person.
• Conclusion: the last part of something.
• Plunk: to pluck or hit so as to produce a quick, hollow, metallic, or harsh sound.

The correct answer is 'Eroded'.

Key Points

• The sentence suggests that Most of the valley had been destroyed gradually.
• The word 'eroded' means to destroy something slowly (used about the wind, water, or other natural agents).

Hence, the correct answer is 'Eroded'.

Additional Information

• Let us understand the meanings of other given options:
• Dried - the condition of being dry.
• Decoded - to find the meaning of a secret message.
• Wiped - to clean or dry something by rubbing it with a cloth, etc.

Correct Passage: Most of the valley had been eroded over the ages by the river waters...

The correct answer is 'Heavy'.

Key Points

• The most appropriate word for the given blank is 'heavy'.
• It means 'weighing a lot, dense, etc'.
• Example: In heavy rain, we struck out across the field.

Correct Passage: Most of the valley had been eroded over the ages by the river waters, heavy rainfall, and fierce winds...

The correct answer is 'Humonogous'.

Key Points

• The most appropriate word for the given blank is 'humongous'.
• It means huge; enormous.
• Example: Let's take the moderately humongous million, for starters.

Thus, the correct answer is Option 1.

Correct passage: Most of the valley had been eroded over the ages by the river waters, heavy rainfall, and fierce winds. All except for one giant monolith, a humongous tower-like mountain of a single rock...

The correct answer is 'Height'.

Key Points

• The most appropriate word for the given blank is 'height'.
• It means the measurement from the bottom to the top of a person or thing.
• Example: The wave here has a length of 250 feet and a height of 10 feet.

Thus, the correct answer is 'Option 2'.

Correct Passage: Most of the valley had been eroded over the ages by the river waters, heavy rainfall, and fierce winds. All except for one giant monolith, a humongous tower-like mountain of a single rock. It stood at a proud height of eight hundred and fifty metres from the valley floor, towering well...

The correct answer is 'valley's'.

Key Points

• The first line of the question i.e., 'Most of the valley' hints at the fact that the context of the passage is the valley.
• The use of apostrophe is mandatory to highlight that fact that the 'shoulders' belong to the valley.
• An apostrophe is a small punctuation mark ( ' ) placed after a noun to show that the noun owns something. The apostrophe will always be placed either before or after an 's' at the end of the noun owner. Always the noun owner will be followed (usually immediately) by the thing it owns.
• In this context, the owner is the 'valley'. Hence, the use of the apostrophe with an 's' is correct.

Therefore, the correct answer is: valley's.

Given: B E _ K D F _ H K D J E H _ D _ E H K D

Let's check each option:

1)  J P K B → B E J K D - F P H K D - J E H K D - B E H K D

2)  H E K N → B E H K D - F E H K D - J E H K D - N E H K D

• ​Here 1st letter is increased by +4.
• B + 4 = F; F +4 = J; J + 4 = N

3)  H B P J → B E H K D - F B H K D - J E H P D - J E H K D

4)  I L P K → B E I K D - F L H K D - J E H P D - K E H K D

Hence, ‘ H E K N ’ is the correct answer.

Given series: 3, 3, 12, 108, ?

The pattern here is:

$3 \times1^2 \xrightarrow[]{}3\ 3 \times2^2 \xrightarrow[]{}12\ 12 \times3^2 \xrightarrow[]{}108\ 108 \times4^2 \xrightarrow[]{}1728$

Hence, "1728" is the correct answer.

The correct mirror image of the given combination when the mirror is placed at MN is as shown below :-

Detailed Explanation :- 

• The line MN is the mirror.
• The word "" 

ends with ""

. So, the mirror image will start with "

" → Options 2,3 are eliminated.

• The first word is "

". So, the last word in the mirror image will be "

"→ Options 4 is eliminated.

Hence, Option 1) is the correct answer.

Additional Information

• In a mirror image Left changes to rightand theright changes to leftwheretop and bottom remains the same.
• When placement of mirror not given, by default we will assume it in vertical direction.
• The starting letter word will be at last after the mirror image drawn with left changes to right and right changes to left.

Let's check each option using above BODMAS table:

1. ×, +, –, ÷, =

Given equation: 13 * 5 * 60 * 6 * 11 * 64

After interchanging the signs, we get:

13 × 5 + 60 - 6 ÷ 11 = 64

13 × 5 + 60 - 0.545 = 64

65 + 60 - 0.545 = 64

125 - 0.545 = 64

124.455 ≠ 64

2. ×, +, ÷, –, =

Given equation: 13 * 5 * 60 * 6 * 11 * 64

After interchanging the signs, we get:

13 × 5 + 60 ÷ 6 - 11 = 64

13 × 5 + 10 - 11 = 64

65 + 10 - 11 = 64

75 - 11 = 64

64 = 64

3. +, –, ×, ÷, =

Given equation: 13 * 5 * 60 * 6 * 11 * 64

After interchanging the signs, we get:

13 + 5 - 60 × 6 ÷ 11 = 64

13 + 5 - 60 × 0.545 = 64

13 + 5 - 32.727 = 64

18 - 32.727 = 64

-14.727 ≠ 64

4. –, +, ×, ÷, =

Given equation: 13 * 5 * 60 * 6 * 11 * 64

After interchanging the signs, we get:

13 - 5 + 60 × 6 ÷ 11 = 64

13 - 5 + 60 × 0.545 = 64

13 - 5 + 32.727 = 64

40.727 ≠ 64

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

Let's check each option:

1. +, ×, ÷, –, =

Given equation: 25 * 5 * 8 * 4 * 15 * 20

After interchanging the signs, we get:

25 + 5 × 8 ÷ 4 - 15 = 20

25 + 5 × 2 - 15 = 20

25 + 10 - 15 = 20

20 = 20

2. ÷, –, ×, +, =

Given equation: 25 * 5 * 8 * 4 * 15 * 20

After interchanging the signs, we get:

25 ÷ 5 - 8 × 4 + 15 = 20

5 - 8 × 4 + 15 = 20

5 - 32 + 15 = 20

-12 ≠ 20

3. +, ×, –, ÷, =

Given equation: 25 * 5 * 8 * 4 * 15 * 20

After interchanging the signs, we get:

25 + 5 × 8 - 4 ÷ 15 = 20

25 + 5 × 8 - 0.267 = 20

25 + 40  - 0.267 = 20

64.733 ≠ 20

4. –, ÷, +, ×, =

Given equation: 25 * 5 * 8 * 4 * 15 * 20

After interchanging the signs, we get:

25 - 5 ÷ 8 + 4 × 15 = 20

25 - 0.625 + 4 × 15 = 20

25 - 0.625 + 60 = 20

84.375 ≠ 20

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

Logic followed here is:

19 × 6 = 114

114 + 5 = 119

119 × 4 = 476

476 + 3 = 479

479 × 2 = 958

Hence, "476" is the correct answer.

Statements:

All cranes are bears.

Some tigers are cranes.

All jackals are tigers.

Venn diagram:

Conclusions:

I. Some bears are tigers. → Follow → (As all cranes are bears and some tigers are cranes. So, some bears are tigers is definite follow)

II. All jackals are bears. → Does not follow → (As some bears are tigers and all jackals tigers. So all jackals are bears is possible but not definite follow)

III. Some jackals are bears. → Does not follow → (As all jackals are tigers and some tiger are bears. So some jackals are bears is possible but not definite follow)

Hence, the correct answer is “Only conclusion I follows”.

Given: 3 : 18 :: 9 : ? :: 5 : 100

The pattern followed here is:

$3:18$ → $3^2 \times (3-1) = 18$ 

And,

$5:100$ → $5^2 \times (5-1) = 100$

Similarly,

$9:?$ → $9^2 \times (9-1) = 648$.

Hence, '648' is the correct answer.

The pattern followed here is:

Word is divided into two half parts and each half part is written backwards.

• In CHOICE ​
• Hence CHOICE = OHCECI
• In DEMAND ​
• Hence, DEMAND = MEDDNA
• Similarly, In EXPECT ​
• Hence, EXPECT = PXETCE

Hence, Option 3) is the correct answer.

The pattern followed here is:

Logic: First number ÷ Second number = Result + Second number = Third letter

(90, 15, 21) → 90 ÷ 15 = 6; 15 + 6 = 21

And,

(16, 2, 10) → 16 ÷ 2 = 8; 2 + 8 = 10

Similarly,

(46, 23, 25) → 46 ÷ 23 = 2; 23 + 2 = 25

Hence, "(46, 23, 25)" is the correct answer.

Mistake PointsLogic used here is: (1st number ÷ 2nd number) + 2nd number = 3rd number.

While checking this logic in Option 1: (80, 20, 16)

(80 ÷ 20) + 20 

= 4 + 20 = 24 not 16.

The pattern followed here is:

$$

Hence, "MOR" is the correct answer.

The logic followed here is:

Castle : Building → Castle is a type of Building.

Similarly,

Sedan : Car → Sedan is a type of Car.

Hence, Car is the correct answer.

Given:

Logic: If two dice have have the same two face values in the given image, then third number is opposite to each other.

In given figure,

₭ and ₹ are common.

So, the number opposite to 

 is ₮.

Hence, "₮" is the correct answer.

According to the English alphabet series and its positional value:

The logic follows here is: 

According to the above table, Alphabets opposite to given alphabet and their positional value opposite to given alphabet are used alternately.

In SIGNAL →

And,

In TARGET →

Similarly,

In VOLUME →

So, VOLUME will be coded as E12O6N22.

Hence, Option (2) is the answer.

The paper when unfolded will appear as shown below:

Hence, "Option 1" is the correct answer.

The logic followed here is:-

• COMMON
• C + 2 → E
  

O + 2 → Q

M + 2 → O

M + 2 → O

O + 2 → Q

N + 2 → P

• Therefore, code = EQOOQP
• PREP
• P + 2 → R
  

R + 2 → T

E + 2 → G

P + 2 → R

• Therefore, code = RTGR
• MAGNET
• M + 2 → O
  

A + 2 → C

G + 2 → I

N + 2 → P

E + 2 → G

T + 2 → V

• Therefore, code = OCIPGV

Hence, "option 4" is the correct answer.

Explanation:

According to BODMAS rule

Given equation:  2 * 7 * 3 * 21 * 2 * 23

Option 1 : ×, –, +, =, ×

By BODMAS rule 

⇒ 2 × 7  – 3 + 21 = 2  × 23

⇒ 14 - 3 + 21 = 46

⇒ 35 - 3 = 46

⇒ 32 ≠ 46 ( LHS ≠ RHS )

 

Option 2 : ×, ×, –, +, =

 

By BODMAS rule

⇒ 2 × 7  × 3 –  21  + 2  = 23

⇒ 42 - 21 + 2 = 23

⇒ 44 - 21 = 23

⇒ 23 = 23 ( LHS = RHS )

 

Option 3 : ×, ×, =, +, –

By BODMAS rule

⇒ 2 × 7 × 3 = 21 + 2  – 23

⇒ 42 = 23 - 23

⇒ 42 ≠ 0 ( LHS ≠ RHS )

 

Option 4 : +, +, +, = , +

By BODMAS rule

 2 + 7 + 3 + 21 =  2 + 23

33 ≠ 25 (LHS ≠ RHS )

 

Hence, ×, ×, –, +, = is the correct answer.

The pattern followed here is:

Logic: First number × Second number = Third number

Given:

(56 × 12 = 672)

Check each option one by one.

Option 1 : (17 × 13 ≠ 426)

Option 2 : (15 × 18 ≠ 478)

Option 3 : (14 × 21 = 294)

Option 4 : (16 × 16 ≠ 256)

Hence, (14, 21, 294) is the correct answer.

Explanation:

BODMAS table

• I denotes ‘÷’,
• J denotes ‘×’,
• K denotes ‘−’
• L denotes ‘+’,

118 L (16 I 4) K (72 J 2) L 28 L (39 J 3)

By BODMAS rule

⇒ 118 + (16 ÷ 4 ) - ( 72 × 2 ) + 28 + (39 × 3 )

⇒ 118 + 4 - 144 + 28 + 117

⇒ 118 + 4+ 28 + 117 - 144

⇒ 267 - 144

⇒123

Hence, "123" is the correct answer.

The pattern followed here is:

Logic: First number ÷ Second number = 9

Explanation:

Option 1. 441 ÷ 49  = 9

Option 2. 729 ÷ 81 =  9

Option 3. 369 ÷ 41 = 9

Option 4. 343 ÷ 47 = 7. 29  i.e., ≠ 9

Hence, 343 : 47  is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 4' is the correct answer.

The paper when gets unfolded is as shown below:

Hence, 'option 4' is the correct answer.

Explanation :

According to the sequence in the dictionary

The correct order of the given words is :

5. Prohibit
6. Projectile
7. Projector
8. Prolific
9. Prolong

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

Given :

Explanation : If two dice have the same face value in the given image then their clockwise or anti clockwise rotation of the face are formed the opposite pair in dice.

while moving the clockwise direction :

From the both dices :

Now, E is opposite to D

Hence, E is the correct answer.

Explanation:

The option  that represents  the correct order of the given words as they would appear in English dictionary as shown below :

1. Campaigns
2. Camphor
3. Candidature
4. Catalytic
5. Cataracts

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

Given:

AB = QR, BC = PR and CA = PQ

Formula used:

Side-side-side congruence rule:- If all the three sides of a triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent to each other.

Calculation:

Let ABC and PQR be two triangles.

The congruence of the two triangles is written with respect to the corresponding sides and since  AB = QR, BC = PR and CA = PQ, ΔCBA ≅ ΔPRQ.

∴ If AB = QR, BC = PR and CA = PQ, then ΔCBA ≅ ΔPRQ.

Given:

In a decade, a town's population grew from 1,75,000 to 2,62,500.

Formula used:

Percentage increase = $\frac{\text {present value - old value}}{\text {old value}}$

Average = $\frac{\text {sum of all observations}}{\text {total number of observations}}$

Calculation:

Percentage increase in a decade = $\frac{262500-175000}{175000}\times 100=\frac{87500}{1750}=50\%$ 

Annual average = $\frac{50}{10}=5\%$

∴  The average annual percentage increase in population is 5%.

Given:

The diameter of a sphere is 21 cm.

Formula used:

surface area of a sphere = $4π \left( \frac{d}{2}\right)^2$, where d  is the diameter of the sphere.  

Calculation:

surface area = $4π \left( \frac{d}{2}\right)^2=4\times \frac{22}{7} \left( \frac{21}{2}\right)^2=1386cm^2$.

∴ The surface area of a sphere of diameter 21 cm is 1386 cm².

Shortcut Trick The answer should be the multiple of 11 as the surface area of the sphere is the multiple of π . And out of all the option we have only one such option which is 1386 cm².

Given:

A train covers the distance between two stations X and Y in 6 hours. If the speed of the train is reduced by 13 km/h, then it travels the same distance in 9 hours.

Formula used:

Distance = Speed × Time taken

Calculation:

Let the distance between the station X and Y be d and the initial speed of the train be v

Then, d = 6v

When the speed of the train is reduced by 13km/h, the equation can be written as d = 9(v-13).

Substituting $v=\frac{d}{6}$ in the above equation and solving for d,

$d=9\left( \frac{d}{6} -13\right)$

$d=\frac{3d}{2} -117$

d = 234km

∴ The distance between the two stations is 234 km.

Shortcut TrickLet the initial speed be x

Distance = Speed × Time 

According to the question,

⇒ x × 6 = (x - 13) × 9

⇒ 6x = 9x - 117

⇒ 3x = 117

⇒ x = 39 kmph

Distance = 39 × 6 = 234 km. 

∴ The distance between the two stations is 234 km.

If a and b are in the ratio of x:y, then  $\frac{a}{b}=\frac{x}{y}$.

Let the number of black tablet covers in the bag be x.

Then, $\frac{5}{9}=\frac{x}{450}$ ⇒  $x = \frac{5}{9} \times {450}=250$

∴ There are 250 black tablet covers in the bag.

Given:

The average weight of A, B and C is 65 kg. 

The average weight of A and B is 62 kg and that of B and C is 66 kg.

Formula used:

Sum of all the observations = average × number of observations

Calculation:

Let the weight of B be x. 

Sum of the weight of A, B and C = 65 × 3 = 195 kg.

Sum of the weight of A and B = 62 × 2 = 124 kg.

Sum of the weight of B and C = 66 × 2 = 132 kg.

Therefore, x = 195 -124 - 132 + 2x

Solving for x,

x = 61

∴ The weight (in kg) of B is 61.

Given:

It is given that yearly expenses (in thousand rupees) on food, labour, raw material and cloth are 10, 15, 16 and 9 respectively.

Formula used:

Percentage = $\frac{\text {sum of the parts}}{\text {value of the whole}}\times 100$

Calculation:

Percentage = $\frac{10+15}{10+15+16+9}\times 100=\frac{25}{50}\times 100=50\%$

∴ The combined expenses on food and on labour is 50% of the total expenses on all the four items taken together.

Given:

Marked price = Rs. 500

Discount = 15%

Profit = 25%

Formula used:

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

Selling price = $\frac{100+ \text{profit}}{100}\times\text{cost price}$

Calculation:

Selling price = $\frac{100-15}{100}×500=425$

Cost price = selling price × $\frac{100}{100+\text{profit}}$ 

Cost price = $425\times\frac{100}{100+25}=340$

∴ The actual cost of the T-shirt is Rs. 340.

Given:

The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 9 years.

Formula used:

Sum of the observations = average × no. of observations 

Calculation:

The sum of the ages of the grandparents = 67 × 2 = 134 years.

The sum of the ages of the parents = 35 × 2 = 70 years.

The sum of the ages of the grandchildren = 9 × 4 = 36 years.

Sum of the ages of all the 8 family members = 134 + 70 + 36 = 240 years

Average = $\frac{240}{8}=30$

∴ The average age of the family is 30 years.

Shortcut Trick

Total Surface Area (TSA) of a cuboid = 2 × (lw + wh + hl)

TSA = 2 × (20 × 15 + 15 × 8 + 8 × 20)

TSA = 2 × (300 + 120 + 160) = 2 × 580

TSA = 1160 cm²

∴ The correct answer is 1160 cm².

Alternate Method

Given: Length (l) = 20 cm, Width (w) = 15 cm, Height (h) = 8 cm

Formula: Total Surface Area = 2(lw + wh + hl)

⇒ Surface Area of two horizontal faces (Top & Bottom) = 2 × (20 × 15) = 600 cm²

⇒ Surface Area of two vertical side faces (Left & Right) = 2 × (15 × 8) = 240 cm²

⇒ Surface Area of two vertical front/back faces = 2 × (20 × 8) = 320 cm²

⇒ Total Surface Area = 600 + 240 + 320

⇒ Total Surface Area = 1160 cm²

∴ The correct answer is 1160 cm².

Additional Information

Volume of a Cuboid

The space occupied by a cuboid is given by the product of its three dimensions: Volume = l × w × h.

Lateral Surface Area (LSA)

The area of the four side walls of the cuboid (excluding top and bottom) is: LSA = 2h(l + w).

Diagonal of a Cuboid

The length of the longest rod that can fit inside a cuboid is: d = √(l² + w² + h²).

Surface Area of a Cube

For a cube where l = w = h = a, the Total Surface Area = 6a².

Given

Diagonal of a cube = 24 cm

Formula used

Total surface area of the cube with side a = $6 a^2$

Calculation:

Diagonal of cube = √3 × a = 24

⇒ a = $\dfrac{(8 × √3 × √3)}{√3}$ = 8√3

The total surface area of the cube = 6a2 

⇒ 6 × (8√3)2

⇒ 6 × 64 × 3 = 1152 cm2

The total surface area of the given cube is 1152 cm².

Given

Sum of two numbers is 17

Product of two numbers is 34

Formula used

Let x and y be the numbers

$(x+y)^2=x^2+y^2+2xy$

Calculation

$x+y=17$

$xy=34$

Putting these in the above equation

$(x+y)^2=x^2+y^2+2xy$

$(17)^2=x^2+y^2+2 \times 34$

$x^2+y^2=221$

The sum of the squares of the number is 221.

Given

Time taken to fill the container normally = 5hr

Time taken to fill when leakage is present = 6hr

Calculation

Extra time taken to fill due to leakage = 6 - 5= 1hr

Let the volume of the tank to be V

Part of tank filled in 1hr at normal condition = V/5

Part of tank filled in 1hr in leakage condition = V/6

Part of tank leaked in  1hr = V/5 - V/6 = V/30

So the tank leak 1/30 volume in 1hr

∴ He full tank is leaked within 30hr.

Given

First remainder = 11

Second remainder = 38

Calculation

Let the numbers be a and b

So from the given

h and k be any two numbers

a = 44k + 11

b = 44h + 38

Adding these numbers we get,

a + b =44(k + h) + 11 + 38 = 44(k + h) + 49

This can be written as 44(k + h) +  44 + 5

From the above, we can say that 44 can fully divide first two terms only and 5 is left out

The remainder obtained when the sum of the numbers divided by 44 is 5.

Given

tanθ + cotθ = 4

Formula used

$(a+b)^2=a^2+b^2+2ab$

tanθ=1/cotθ

Calculation

tan2θ + cot2θ=(tanθ + cotθ)²-2tanθ × cotθ

⇒ 4² - 2 = 14

∴ The value of tan2θ + cot2θ is 14.

Given

Principle = 40000

Rate of interest per annum = 20%

Duration of interest = 2 years 6 month = 2.5 years

Formula used

Amount obtained = P(1+r/100)ⁿ

P = principle, r = rate on interest, n = duration

When interest compounded half yearly then

R → R/2 and n → 2n

Calculation

Using the above formula,

R = 20/2 = 10 %, n = 2.5 × 2 = 5

Amount obtained = 40000(1 + 10/100)⁵ = 64420.4

Interest  = Amount - Principle = 64420.4 - 40000

Interest = Rs. 24420.4

∴ The compound interest on ₹40,000 for the given rate and time is Rs. 24420.40.

8x3 + 27y3 + 64z3 = 72 xyz,

Formula used

$a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)$

and a special case of this is  if a + b + c = 0

$a^3+b^3+c^3=3abc$

Calculation

$(2x)^3+(3y)^3+(4z)^3=3(2x)(3y)(4z)=72xyz$

hence satisfies the special case condition

so, a = 2x , b = 3y ,c = 4z which satisfies special case 

and  a + b + c = 0

2x + 3y + 4z = 0

This can be written as 2x + 3y = -4z​​

According to question,

The most favorable drink will be the most bought in the  particular season

In winter season the most bought drink is D

∴ The most preferred drink in winter is D.

Given

the Celsius temperature is 30

Formula used 

 C = $\frac{5}{9}$ (F - 32)

Calculation

Rearranging the given the equation

$F=\frac{9C}{5}+32$

    = $\frac{9\times 30}{5}+32=86$

The value of F is 86

Formula used

successive discount=-x -y + (x$\times$ y/100)

Calculation

For case 1 total discount is =$-20+-12+(20\times12)/100$=-29.6%

For case 2 total discount is =$-25+-5+(25\times5)/100$=-28.75%

For case 3 total discount is =$-30+-3+(30\times3)/100$=-32.1%

discount of case3>case1>case2

From this case 3 offers most discount, so the scheme iii offers most discount

GIVEN:

Percentage of population affected by cold in 1990 = 3

Percentage of population affected by cold in 2020 = 10

FORMULA USED :

Increase  in percentage = [(new value - original value) ÷ original value ] × 100 

CALCULATION :

change in percentage =   $( 10 -3)\over 3$ × 100 = 233

Hence, increase in percentage is 233.

GIVEN:

20 dozen toys cost = Rs375 per dozen

selling price of each toys = Rs33

FORMULA USED:

Profit = S.P. - C.P.   where S.P. and C.P. are Selling price and Cost price respectively

Profit% = $Profit \over C.P.$ × 100 

CALCULATION :

1 dozen = 12

According to the question,

Cost of each dozen = Rs375

⇒ cost of 20 dozen toys = (  20 × 375 ) = Rs7500

⇒ Hence, as 20 dozen toys means  = ( 20 × 12 ) = 240 toys

⇒ selling price per toys = Rs33

⇒ Hence, selling price of 240 toys = ( 240 × 33 ) = Rs7920

Now, profit = (S.P. - C.P.)  = ( 7920 - 7500) = 420

Profit percentage =  $Profit \over C.P.$ × 100 =  $420\over7500$ × 100 = 5.6

Hence, the profit percentage is 5.6.

GIVEN:

The value of the machine depreciates at the rate of 10% 

Present value = Rs 35,000

FORMULA USED:

Price after depreciation = Original price × (100 - depreciation%)/100

CALCULATION:

⇒The value of the machine after 1st year = 35000 × (100 - 10)% = 35000 × 90/100

⇒ The value of the machine after 2nd year = 35000 × 90/100 × 90/100 =  350 × 81 = Rs28,350

Hence, the value of the machine after 2 years is Rs. 28,350.

 Alternate Method Value depreciates every year

Present year      ....next year

⇒10..........9

⇒10.........9

⇒ overall

⇒100   =   81

⇒100........35000

⇒1.......350

⇒81.......350× 81

∴ The value of the machine after two years is 28350.

GIVEN:

 $[(5.4)^3$ - 0.064]÷ [ $(5.4)^2$ + 2.16 + 0.16]

FORMULA USED:

  $( a^3 - b^3) = ( a -b)( a^2 + b^2 +ab)$ a b ) 

CALCULATION:

⇒ The equation can be written as 

⇒ [ 5.4³  - 0.4³]÷ [$(5.4)^2 +(0.4)^2$² + (2.16)]

Now, multiply by (5.4 -0.4) in both numerator and denominator , we get

⇒ [ $( 5.4)^3 -(0.4)^3$³ ] (5.4 -0.4) / (5.4 -0.4) [ $(5.4)^2 +(0.4)^2$² + (2.16)]

Now , the denominator is in the form of  (a -b)  $(a^2 + b^2$² + a b ) where a=  5.4 and b = 0.4  which  is equal to  $( a^3 - b^3)$ 

⇒   Hence,  $[ (5.4)^3 - (0.4)^3] ( 5.4 -0.4)\over[(5.4)^3 - (0.4)^3]$ = (5.4 -0.4 ) = 5.

Hence, the value is 5.

GIVEN:

Two liquids X and Y in the ratio 5 : 3

6 l of the mixture  is drawn off and replaced with Y

The final ratio of X and Y = 5 : 7

CALCULATION:

Let the beaker initially contains 5z and 3zof mixtures  of X and Y respectively,

⇒Quantity of X in mixture left =(5z - $5\over8$ × 6) = (5z - $15\over4$ ) L

⇒ Quantity of Y in mixture left = ( 3z - $3\over8$ × 6) = ( 3z - $9\over4$ )L

⇒ $(5z -\frac{15}{4})\over(3z -\frac{9}{4}) +6$ = $\frac{5}{7}$ 

⇒  $(20z -15)\over(12z +15)$ = $5\over7$  

⇒ (140z - 60z) = (105 +75) 

⇒ 80z = 180 ⇔ z = 180/80 

⇒ Liters of liquid initially in X = 5z = 5× 180/80  = 11.25

Hence, initially the liquid in X was 11.25.

Shortcut Trick 

Quantity of X in step 1 and Final will be same.

So, for Y the quantity is increased by 4 unit.

⇒ 4 unit = 6 lt

So 1 unit = (6/4) lt

Then the quantity of X in Step 1 = (6/4) × 5 = 30/4 lt

So, the initial quantity of X = (30/4) + (5/8) of initial mixture drawn

⇒ X = (30/4) + (5/8) × 6

⇒ X = (30/4) + (30/8)

⇒ X = 11.25

Hence, initially the liquid X was 11.25.

The correct answer is Mridangam.

Key Points

• Dr. Umayalpuram Kashiviswanatha Sivaraman is a Karnataka Mridanga scholar.
• He was awarded the Sangeeta Kalanidhi of Madras Music Academy in 2001.
• He learned the art of Karnataka Mridangam from two famous masters of the art - Sri Arupathi Natesa Iyer, Sri Kumbakonam Rangu Iyengar and Sri Kumbakonam Rajappa Iyer.
• He was awarded the Padma Bhushan by the government in the year 2003.
• On 26 January 2010, he was awarded the Padma Vibhushan, India's second highest civilian award, on the occasion of the country's 61st Republic Day.
• Received an honorary doctorate from the University of Kerala in 2010.

Additional Information

• Life Awards of Dr. Umayalpuram Kashiviswanatha Sivaraman
• Sangeeta Kalashikhamani from The Indian Fine Arts Society in 1984
• Padma Shri from the Government of India in 1988
• Kalaimamani from the Government of Tamil Nadu in 1977
• Sangeet Natak Akademi Award in 1992
• Sangeeta Kalanidhi from Madras Music Academy in 2001
• Padma Bhushan from the Government of India in 2003
• Padma Vibhushan from the Government of India in 2010
• Sangeet Natak Akademi Fellowship, 2011
• D.Litt from Tamil Nadu Dr. J Jayalalithaa University of Music and Fine Arts in 2019.

The correct answer is To cast vote during elections.

Key Points

• Fundamental Duties 
• The 42nd Constitutional Amendment Act (1976)  modified the Constitution to include the fundamental duties of citizens.
• Ten Fundamental Duties were established in the 42nd Constitutional Amendment Act.
• Part IVA, a new section, was added to the Constitution as a result of this modification.
• This new section only has one article, Article 51A, which for the first time outlines a list of the ten essential duties of citizens.
• The 86th Amendment Act later added one additional Fundamental Duty, which was added in 2002.
• As per the Article 51A, some of the duties that are followed by every citizen include:
• To protect the natural environment
• To abide by the Constitution
• To uphold and protect the unity and integrity of India
• To defend the country
• To promote harmony

Additional Information

• The fundamental duties can be used by the courts to determine whether a law is constitutional.
• The Constitution of the former USSR served as inspiration for the Indian Constitution's Fundamental Duties.
• One of the most significant constitutional amendments to India was the 42nd Amendment Act of 1976.
• The Indian National Congress, led at the time by Indira Gandhi, passed it.
• The Indian Constitution has undergone numerous revisions as a result of this act, which is why it is often referred to as the "Mini-Constitution."
• To cast vote during elections is not a fundamental duty, it is a constitutional  right.

The correct answer is Mitochondria without outer membrane is called mitoplast.

Key Points

• Mitochondria
• All eukaryotic cells have mitochondria, which are double membrane-bound organelles that generate adenosine triphosphate (ATP), the primary energy source required by the cell.
• It is commonly known as the "Powerhouse of the cell."
• Both plant and animal cells contain the double-membraned, rod-shaped mitochondria.
• Its diameter varies from 0.5 to 1.0 micrometres.
• The structure is made up of an inner membrane, an outer membrane, cisternae, the intermembrane space and matrix.
• The quantity of mitochondria differs from cell to cell.
• RBC which is a type of living cell lacks mitochondria, whereas liver cells have about 2000 per cell.
• In contrast to eukaryotes, bacteria do not have membrane-bound organelles like mitochondria or chloroplasts.
• Mitochondria without an outer membrane are called mitoplast.

Additional Information

• The mitochondria also perform signaling, cellular differentiation, cell death, and maintenance of cell cycle growth.
• Mitochondria have their own genetic material.
• The intermembrane space serves as a barrier between the layers of proteins and phospholipids that make up the outer membrane and the inner membrane.
• The mitochondrion's outer membrane is made up of numerous unique proteins called porins and covers its surface.
• The genome of human mitochondria is circular DNA.

The correct answer is Kumar Sanu.

Key Points

• Kumar Sanu
• Indian playback singer Kedarnath Bhattacharaya, better known by his stage name Kumar Sanu, was born on October 20, 1957.
• In Bollywood, he is referred to as the King of Melody.
• Kishore Kumar, a vocalist, has a big impact on the way he sings and sounds.
• He is well known for singing numerous Bollywood and Hindi songs.
• In 1993, Kumar Sanu holds the Guinness world record for singing the highest number of songs in one day.
• He recorded 28 songs in one day.
• He had received the Best Male Playback Singer Filmfare Award five times in a consecutive manner (1990–1994).
• He received the Padma Shri honour from the Indian government in 2009 for his contributions to Indian music and film.

Additional Information

• Along with Hindi, he has performed across Bengal, Bangladesh, as well as West Bengal, singing in Bengali, his home tongue, as well as Marathi, Nepali, Assamese, Telugu, Malayalam, Kannada, Tamil, Punjabi, Bhojpuri, Gujarati, Manipuri, Odia, Chhattisgarhi, Urdu, and Pali.
• Alka Yagini
• Indian playback vocalist Alka Yagnik, who was born on March 20, 1966, specialises in Hindi cinema.
• Numerous awards, including two National Film Awards for Best Female Playback Singer, have been given to Yagnik.
• The Lata Mangeshkar Award was given to Yagnik in 2017 for her work in the music industry.
• Kavita Krishnamurthy
• Sharada is an Indian playback and classical vocalist also known by the name Kavita Krishnamurthy or Kavita Subramaniam.
• She has recorded more than 50,000 Songs recorded in 46 different languages.
• She has won the Padma Shri in 2005 and four Filmfare Best Female Playback Singer Awards, which she won consecutively from 1995 to 1997.
• Udit Narayan
• Indian playback singer Udit Narayan was born on 1 December 1955 and is well known for his work in Hindi-language movies.
• He has won five Filmfare Awards and four National Film Awards.
• He has won the Padma Shri in 2009, and Padma Bhushan in 2016.