SSC CHSL Tier-1 2021: Official Paper (Held On : 8 June 2022 Shift 1) (Previous Year Paper)

The correct answer is "the biggest"

Key Points

• Here in this statement one is comparing the clock in the town square with respect to all the watches in town.
• Superlative degrees are used for such types of comparisons and "the biggest" is the superlative degree.
• Also we do not use the article "a" with superlative degrees because superlatives make the noun specific and the article "the" is used with specific nouns.
• Example: This glass is the biggest of all the four glasses in the shop.
• Therefore, the correct option here is the biggest(option 3).

 

The correct sentence is: The clock that we have in our town square is the biggest in the whole town.

Additional Information      Let us have a look at the other options also:

• "The bigger" is a comparative degree and these degrees are used to compare two things only.
• Example: This watch is bigger than the other one.
• "The big" is simply used when we are talking about only one specific thing.
• Example: The big house.
• "A biggest" is never used because we do not use the article "a" with superlative degrees.

The correct answer is: "Tragic"

Key Points

• The word given here is "Comic" which means something related to comedy or something that makes you laugh. 
• Example*: I love reading comic books.*
• The marked word is "Tragic" which means something related to death, accident, mishappening, or that makes you feel sad.
• Example*: Her sister's death was so tragic.*
• We can clearly see that both words are exactly opposite to each other.
• Therefore, "Tragic" is an antonym for "Comic".

Additional Information Let us have a look at the other options.

• "Native" means a person who was born in some specific country and also lives there.
• Example*: He is a native of America.*
• "Costly" means something that requires a lot of money.
• Example*: This dress is very costly.*
• "Empty" means there is nothing inside.
• Example*: This room is empty.*

The correct answer is "receded"

Key Points

• The word given in the bracket is "approached" which means to come close(near) to something or something.
• Example*: He approached the truck.*
• We have to fill the opposite of (approached) in the blank space.
• From the above options word "Receded" means to move away from something.
• Example*: These haunted memories will recede with time.*
• Therefore, the word "Receded" is the opposite of the word "approached".

​

The correct sentence is: My fascination with Tyler's items receded into distant memories.

Additional Information Let us look at other options also:

• Escalated means to make something bigger or faster.
• Example*: Rahul escalated the bike.*
• Expanded means to become bigger in size.
• Example*: Arjun has expanded his field area*.
• Intensified means to make something stronger or more serious.
• Example*: He intensified fighting by abusing.*

The correct answer is "CBAD"

Key Points

• When arranging sentences it is easier to order the first few, and then eliminate the options accordingly.
• The first sentence of a paragraph is usually independent and introduces a topic. The second one provides more information about it.
• Here, only C and B are independent and introduce a topic. So, we look at their interrelation.
• Out of these, C is truly independent while B provides more information about "Mosquitos are everywhere now. Villagers, as well.." introduced by C.
• So, B must come after C. Then CB is the correct order for the first two lines.
• This particular order is shown by option 3 "CBAD".

​

Thus, the correct sequence is: "CBAD"

C:  Mosquitos are everywhere now. Villagers, as well as city dwellers, are afraid of these small creatures.

B: There are thousands of species of mosquitoes that are known to the people of the world. They mainly live in still water and other places where water is stored.

A: These carriers of bacteria and viruses cause many diseases like Yellow Fever, Malaria, etc. so panchayats and municipalities are taking a lot of care to protect people from them.

D: Usually, female and male mosquitoes take feed on plants or fruit honey, however female mosquitoes mostly suck the blood of humans.

The correct answer is "Irascible"

Key Points

• The most appropriate one-word substitute for the given group of words is "Irascible".
• Irascible: means a person who tends to be easily angered or short-tempered.
• Example*: She is an irascible and tough woman.*
• Therefore, as per the above-mentioned points option 2, "Irascible" is the correct answer.

Additional Information Let us have a look at the meaning of other options also:

The correct answer is "wait to try out". 

Key Points

• "Trying" in "wait to trying out" is in the present continuous tense.
• Present continuous tense is used to indicate the action going on.
• Example: Lucy is eating her breakfast.
• In the given sentence, the action is yet to start. This demands the usage of simple present tense.
• Therefore, the correct sentence should be "Mr Pramod couldn't wait to try out his new recipe".

Additional Information

• The present tense is divided into simple, continuous, perfect, and perfect continuous.
• | Tense | Meaning | Example | | --- | --- | --- | | Simple Present | denotes facts or actions happening now | She sits on the chair. | | Present Continuous | denotes the action happening | She is sitting on the chair. | | Present Perfect | denotes the action that started in the recent past and has its influence in the present. | She has sat on the chair. | | Present Perfect Continuous | denotes the action that started in the recent past and has its influence is going on in the present. | She has been sitting on the chair. |

The correct answer is: "giggly"

Key Points

• Here the correct word to be filled in is "giggly".
• Word "giggly" means to laugh in a silly way.
• ​Example: A group of giggly girls was punished by a teacher.
• Funny stories can make anyone laugh.
• Therefore, "giggly" can be used here to represent laughing behavior.

The correct sentence is: Funny stories made me and my brother giggly.

Additional Information Let us look at other options also:

• "Conscious" means to be in an active mental state.
• Example: He became conscious after three hours.
• "Determined" means to have an affirmation for doing something.
• Example: He is fully determined toward his goal.
• "Gritty" means to show courage.
• Example: Eyes of the soldiers in the war were gritty.

The correct answer is "She is known to me"

Key Points

• Given sentence "I know her" is in simple Present Indefinite tense and in Active form.
• The rule for changing a simple Present Indefinite tense form into a Passive form is as follows:
• ​Interchange the object and subject with each other, i.e. object of the active sentence become the subject of the passive sentence.
• The helping verb comes before the object in the passive voice as the passive voice starts with the object of the active voice.
• Convert the "know" into a past participle or 3^rd form of the verb.
• "I" will change into "me" and "her" will change into "she".
• Structure: Subject+ V1 + Object.(Active Voice)

                                     Subject+ is+ V3 + to + Object.(Passive Voice)

• Example*: Active Voice: He drives a car.*

                          Passive Voice: A car is driven by him.

Additional Information

• In active voice, a sentence emphasizes the subject performing an action.
• in passive voice, a sentence emphasizes the object performing an action.

The correct answer is: "Variable"

Key Points 

• The word given here is "Uniform" which means something which is the same every time or that doesn't change with time. 
• Example: He is driving the car at a uniform speed.
• The marked word is "Variable" which means something that changes with time and doesn't remain constant.
• Example: It is difficult to calculate the cost with so many variables.
• We can clearly see that both words are exactly opposite to each other.
• Therefore, "Variable" is an antonym for "Uniform".

Additional Information 

 Let us have a look at the other options.

• "Inflexible" means something which is not flexible.
• Example: His body is inflexible.
• "Orderly" means something that acquires a specific order.
• Example: Every task should be done orderly in the company.
• "Irrelevant" means something that does not make any sense.
• Example: This discussion is totally irrelevant.

The correct answer is "Bakshi is going to call you later in the evening".

Key Points

• Fixed appointments demand the usage of the present tense even if the incident happens in the future.
• Example: Tomorrow is a holiday.
• Here, the situation is fixed that Bakshi will call. So, the present continuous tense is more appropriate.
• Moreover, in the future continuous tense, the "will + ing verb" does not come together.
• The correct format is "will + be+ ing verb". 
• Example: Tina will be going to the museum this evening.
• Therefore, the correct answer is Option 3.

Additional Information

• The future tense is divided into simple, continuous, perfect and perfect continuous.

The correct answer is "spoil careful plans". 

Key Points

• The appropriate meaning of the idiom "upset the apple cart" is "spoil careful plans".
• Upset the apple cart - to cause trouble to someone's plans.
• Example: Dan did not say anything that would upset the apple cart.
• Therefore, the correct answer is Option 2.

Additional Information

• Let's see some idioms beginning with "ring".

The correct answer is "they attend"

Key Points

• Error is in the part "they attend" of the sentence.
• As per the sentence structure, they must attend it this weekend.
• Therefore, the sentence should be in the Future Continuous tense. Its correct form will be:
• They will be attending a meeting in Chicago this weekend.
• Therefore, as per the above-mentioned points correct answer is option 4 "they attend".

 

The correct answer: They will be attending a meeting in Chicago this weekend.

The correct answer is "Deviant"

Key Points

• Let us have a look at the meaning of all the options:
• Convergent: means we can establish a solution to any problem by reasoning and logic.
• Deviant: unacceptable and disturbing
• Cynical: Believing or showing the belief that people are motivated chiefly by base or selfish concerns; skeptical of the motives of others.
• Logical: having some sort of sense
• Now, the meaning of perverse: is to think in an unacceptable way or be disturbed.
• Now we can see from the above-mentioned options only deviant relates in meaning with perverse.
• Therefore correct option is option 2 "Deviant".

The incorrectly spelled word is "Champeon"

Key Points 

• In the given options "Champeon" is an incorrectly spelled word. Its correct spelling is "Champion".
• Let's look at its meaning:
• Champion: a person who has won any league or tournament
• Example: He is a Champion in boxing.
• Therefore, as per the points mentioned above, we find that the correct answer is Champeon.

The correct answer is: champeon

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

The incorrectly spelled word is "Serrene"

Key Points

• In the given options "Serrene" is an incorrectly spelled word. Its correct spelling is "Serene".
• Let's look at its meaning.
• Serene: calm and peaceful.
• Example: She has a very serene smile.
• Therefore, as per the points mentioned above, we find that the correct answer is Serrene.​

Additional Information 

Let's look at the meaning of other options also:

The correct answer is "Philanthropist". 

Key Points

• The appropriate answer which means "one who makes an active effort to promote human welfare" is "Philanthropist".
• A philanthropist means a person who helps the poor and needy by giving money. 
• Example: Sam paid fees for the slum children. He is a philanthropist.
• Therefore, the answer is Option 4.

 Additional Information

• Squanderer - a person who spends excessively. 
• Example: Rita is a squanderer as she spent thousands on bags.
• Spendthrift - a person who spends money wastefully.
• Example: Jim loves shopping and is a spendthrift.
• Pacifist - a person who is against war and violence. 
• Example: I prefer sorting problems through words. I am a pacifist.

The correct answer is "tolerate insult without protest".

Key Points

• The appropriate answer which means "pocket an insult" is "tolerate insult without protest".
• "Pocket an insult" means withstanding an insult without retreating back. 
• Example: Tom pocketed John's insults because they were friends.
• Therefore, the correct answer is Option 3.

Additional Information

• Let's see some widely used idioms.

The correct answer is "established".

Key Points

• Established means something that was built or founded. 
• Example: The migrants established an association in a foreign land.
• Therefore, the appropriate option is "established".

Additional Information

• Fixed - something that is stable.
• Example: The plumber fixed the shower as it was leaking.
• Extended - lengthen something.
• Example: This book is an extended version of the movie.
• Entrenched - an attitude or habit that is unlikely to change. 
• Example: The famous college has an entrenched managing body.

The correct answer is "stab someone in the back".

Key Points

• Betrayed means to cheat someone.
• Example: The agent betrayed me by giving me a different house from the picture.
• Stab someone in the back means deceive someone.
• Example: The shopkeeper stabbed the customer on his back by selling a defective piece.
• Therefore, the appropriate idiom which means "betrayed" is "stab someone in the back".

Additional Information

• Let's see the other idioms given in the options.

The correct answer is "Magnificient". 

Key Points

• The correct spelling of "Magnificient" is "Magnificent".
• Magnificent means grand and lavish.
• Example: The business magnet has a magnificent car.
• Therefore, the incorrectly spelt word is "Magnificient".

Additional Information

• Hilarious - very funny.
• Example: Jim's dressing style is hilarious.
• Demolish - destroy. 
• Example: The government is demolishing houses to widen the roads.
• Gargantuan - enormous. 
• Example: This property is gargantuan.

The correct answer is "achieve".

Key Points

• "Achieve" means to accomplish something.
• Example: Diana achieved in convincing her parents for a night out.
• The blank demands a word that means "completed something successfully".
• Therefore, "achieve" is the appropriate option.

Additional Information

• Appreciate - praise a person or an object.
• Example: The boss appreciated his team for their hard work.
• Prevail - existing at the time.
• Example: The prevailing orders must be shipped by tomorrow.
• Value - of some benefit. 
• Example: This chair is of great value as it is made up of sandal wood.

The correct answer is "although".

Key Points

• Although is a conjunction which means "in spite of the fact".
• It has a tone of surprise.
• Example: Although it was bright and sunny, we played on the beach.
• Therefore, the appropriate option is "although".

Additional Information

• Despite - without any affect from the object mentioned. 
• Example: He was slim despite being a foodie.
• Even though - means the same as "Although". But it has a stronger tone than "although".
• Example: Even though I waited in the queue for an hour, I was unable to get the ticket.
• In spite - regardless.
• Example: In spite of my warning, she did not study for the test.

The correct answer is "stood".

Key Points

• Stood means "being in an upright position". (खड़ा हुआ)
• Example: The tree stood despite the whirlwind.
• Therefore, the correct option is "stood".

Additional Information

• Established - make something firm. (स्थापित)
• Example: The coach established the rules before the match.
• Erected - stand straight. (निर्माण किया)
• Example: The school pupil leader stood erect throughout the assembly.
• Edified - to uplift someone mentally and intellectually. (उन्नति)
• Example: The Pastor's sermon edified John.

The correct answer is "jut".

Key Points

• "Jut" means to extend beyond the surface of something. 
• Example: The tile has jutted to the next room.
• Therefore, "Jut" is the appropriate option.

Additional Information

• Furrow - a deep and long cut on the surface.
• Example: Mr Evans has a furrow on his forehead because of old age.
• Trench - a long narrow passage dug into the ground to make a passage.
• Example: The opposite country dug a trench into our country.
• Line - a straight mark on the surface. 
• Example: Students were asked to stand in a straight line for the assembly.

The correct answer is "Lined".

Key Points

• "Lined" means assembling something in a straight manner. 
• Example: The soldiers lined up for the drill.
• Therefore, "lined" is the appropriate option.

Additional Information

• Sequenced - one after the other.
• Example: My mother sequenced the jams according to their date of expiry.
• Queued - standing one behind the other to form a line. 
• Example: The people queued to collect their ration.
• Furnished - provide the necessities. 
• Example: Rini furnished the form with all the details.

The logic followed here is:

MASTER : AMHGRE

it is coded as alphabet positional value

In the same way

LUXURY : ULCFYR

Similarly,

FORMAL : OFINLA

Hence, OFINLA is the correct answer.

The correct Venn diagram representation is 

Some doctors can be patients and Indian citizens.

Some Indian citizens can be doctors and patients.

Some patients can be Indian citizens and doctors.

That's why three of the circles are overlapping  partially.

Hence, 

i.e. option 2 is the correct answer.

The logic followed here is:

BODMAS table

Given : 31 * 13 * 7 * 54 * 12 * 4 * 20

Option 1.=, ÷, -, × , +, - by subsituiting according to BODMAS rule

• 31 = 13 ÷ 7 - 54 × 12 + 4 -20
• 31 = 1.85 - 54 × 12 + 4 -20
• 31 = 1.85 - 648 + 4 - 20
• 31 = 5.85 - 648 - 20
• 31 ≠ 662.1( LHS ≠  RHS)

Option 2. +, × , -, =, × , + by subsituiting according to BODMAS rule

• 31 + 13 × 7 - 54 = 12 × 4 + 20
• 31 + 91 - 54 = 48 + 20
• 122 - 54 = 68
• 68 = 68 ( LHS = RHS )

Option 3. -, -, =, × , +, ÷ by subsituiting according to BODMAS rule

• 31 - 13 - 7 = 54 × 12 + 4 ÷ 20
• 31 - 13 - 7 = 54 × 12 + 0.2
• 31 - 13 - 7 = 648 + 0.2
• 31 - 13 - 7 = 648.02
• 31 - 20 = 648.02
• 11 ≠ 648.2( LHS ≠  RHS)

Option 4. +, -, =, × , -, + by subsituiting according to BODMAS rule

• 31 + 13 - 7 = 54 × 12 - 4 + 20
• 31 + 13 - 7 = 648 - 4 + 20
• 44 - 7 = 648 - 16
• 37 ≠ 632( LHS ≠  RHS)

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

BODMAS table

Given : 96 * 3 * 5 * 56 * 16 * 120

Option 1. ÷, × , -, +, = by substituting these values by BODMAS rule

• 96 ÷ 3 × 5 - 56 +16 = 120
• 32 × 5 - 56 +16 = 120
• 160 - 56 +16 = 120
• 176 - 56 = 120
• 120 = 120 (LHS = RHS )

Option 2.× , ÷, +, -, =by substituting these values by BODMAS rule

• 96 × 3 ÷ 5 + 56 -16 = 120
• 96 × 0.6 + 56 -16 = 120
• 57.6 + 56 - 16 = 120
• 113.6 ≠ 120 (LHS ≠ RHS )

Option 3.÷, × , +, -, =by subsituting these values by BODMAS rule

• 96 ÷ 3 × 5 + 56 -16 = 120
• 32 × 5 + 56 - 16 = 120
• 160 + 56 -16 = 120
• 216 - 16 = 120
• 200 ≠ 120( LHS ≠ RHS )

Option 4. -, +, ÷, × , =by subsituting these values by BODMAS rule

• 96 - 3 + 5 ÷ 56 × 16 = 120
• 96 - 3 + 0.08 × 16 = 120
• 96 - 3 + 1.28 = 120
• 97.28 - 3 = 120
• 94.28 ≠ 120 ( LHS ≠ RHS )

Hence, " ÷, × , -, +, =" is the correct answer.

Given :

In the image we can see that the left of ₹ is ₭ and the right of  ₹ is €.

In a dice the left and right of the same face are placed opposite to each other. And in this case ₭ and € are in this position. Therefore 

₭ is the face opposite to €

'€' is opposite to ₭

Hence, ₭ is the correct answer.

The logic followed here is:

In a mirror image left changes to right and the right changes to left .

The correct image of the given figure when the mirror is placed at MN is

Hence, Option1 is the correct answer.

Explanation :

BODMAS table

 Given equation : 459375*21

Option 1 : ÷, +, × , -, = by subsituting values by BODMAS rule we get

• 45 ÷ 9 + 3 × 7 - 5 = 21
• 5 + 3 × 7 - 5 = 21
• 5 + 21 - 5 = 21
• 26 - 5 = 21
• 21 = 21 ( LHS = RHS )

Option 2. : -, ÷, +, × , = by subsituting values by BODMAS rule we get

• 45 - 9 ÷ 3 + 7 × 5 = 21
• 45 - 3 + 7 × 5 = 21
• 45 - 3 + 35 = 21
• 80 - 3 = 21
• 77 ≠ 21(LHS ≠ RHS )

Option 3 : × , +, ÷, -, = by subsituting values by BODMAS rule we get

• 45 × 9 + 3 ÷ 7 - 5 = 21
• 405 + 0.42 - 5 = 21
• 405.42 - 5 = 21
• 400.42 ≠  51(LHS ≠ RHS )

Option 4 : -, +, × , ÷, = by subsituting values by BODMAS rule we get

• 45 - 9 + 3 × 7 ÷ 5 = 21
• 45 - 9 + 3 × 1.4 = 21
• 45 - 9 + 4.2 = 21
• 49.2 - 9 = 21
• 40.2 ≠  21(LHS ≠ RHS )

Hence, "÷, +, × , -, ="  is the correct answer.

The logic followed here is:

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

4. Elated 2. Electrician

1. Elegant
2. Elephant
3. Elongated

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

The logic followed here is 

First Row: 124  ÷ 2  + 38 = 62 + 38 = 100

Second Row: 78  ÷ 2 + 25 = 39 + 25 = 64

Third row: 94 ÷ 2 + 31 = 47 + 31 = 78

Hence, 78 is the correct answer.

Alternate Method (3^rd number - 2^nd number) × 2 = 1^st number

Now,

First row: 124, 38, 100 ⇒ (100 - 38) × 2 = 62 × 2 = 124.

Second row: 78, 25, 64 ⇒ (64 - 25) × 2 = 39 × 2 = 78.

Third row: 94, 31, ? ⇒ (78 - 31) × 2 = 47 × 2 = 94.

Hence, 78 is the correct answer.

The logic followed here is :

In a mirror image left changes to right and the right changes to left.

The correct mirror image of the given figure when the mirror is placed at XY.

Hence**, Option 3)** is the correct answer.

The logic followed here is:

Table of English alphabet positional value

“TAUGHT” is written as “VYWEJR”

“SIMPLE” is written as “UGONNC”

Similarly,

“RETURN” is written as "TCVSTL"

Hence, "TCVSTL"  is the correct answer.

The logic followed here is :

In a mirror image left changes to right and the right changes to left.

The correct mirror image of the given figure when the mirror is placed at MN is

Hence, Option 3 is the correct answer.

Explanation :

Table of english alphabet positional value

 Hence, KSSXII is the correct answer.

Explanation :

Table of english alphabet positional value

ETRE, HSPJ, KRNO, NQLT

Hence, Option 2) is the correct answer.

The logic followed here is :

There are two series in the given series;

Series 1: 14, 11, 8, .......

Series 2: 26, ? , 32, ...... 

Hence,  29 is the correct answer.

Explanation : 

Given equation : 18 A 23 C 6 B (96 D 16) A 3 B 12 = ?

⇒ 18 + 23 - 6 × (96 ÷ 16) + 3 × 12 

⇒ 18 + 23 - 6 × 6 + 3 × 12

⇒ 18 + 23 - 36 + 36

⇒ 77 - 36

⇒ 41

Hence, 41 is the correct answer.

The logic followed here is:

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

Logic : In second box they have interchanged first two words remaining words remain same then in third box they have interchanged 2^ndand 3^rd words remaining words remains same and so it continues like this.

Hence, Option 2 is the correct answer.

The pattern followed here is :

Hence, "171" is the correct answer.

The logic followed here is :

First - second number = A; A × First number  = Third number.

(31, 26, 155)

  31 - 26 = 5;  5 × 31 = 155

(18, 12, 108)

18 - 12 = 6; 6 × 18 = 108

Similarly,

(16, 9, 114) 

16 - 9 = 7; 7 × 16 = 112  ≠ 114 → Does not follow the pattern.

(19, 15, 84) 

19 - 15 = 4; 4 × 19 = 76 ≠ 84 → Does not follow the pattern.

(17, 9, 136) 

17 - 9 = 8; 8 × 17 = 136 → Follows the pattern

(18, 10, 148) 

18 - 10 = 8; 8 × 18 = 144 ≠ 148 → Does not follow the pattern.

Hence, (17, 9, 136) is the correct answer.

Given: 1^st January 2020 was Wednesday,

 

then,

1^st January 2021 = Wednesday + 2(2020 is leap year) = Friday.

Now,

Number of days between 1^st January 2021 to 28^th February 2021 = 58 days

⇒ 58 days = 58/7 = 8 weeks and 2 odd days.

So, 28^th February 2021 = Friday + 2 = Sunday.

Hence, the correct answer is "Sunday".

The logic followed here is:

Table of alphabet positional value

DWE, GTH, JQK, MNN, PKQ

Hence, PKQ is the correct answer.

Explanation :

BODMAS Table

Given equation : 84 * 6 * 25 * 13 * 3

Option 1) ÷, +, =, × by subsituting these value according to BODMAS table we get

84 ÷ 6 + 25 = 13 × 3

14 + 25 = 13 × 3

14 + 25 = 39

39 = 39(LHS = RHS)

Option 2) =, -, +, ×

84 = 6 - 25 + 13 × 3

84 = 6 - 25 + 39

84 = 45 - 25

84  ≠ 20(LHS ≠ RHS)

Option 3) +, ÷, =,  ×

84 + 6 ÷ 25 = 13  × 3

84 + 0.24 = 13 × 3

84 + 0.24 = 39

84.24 ≠ 39(LHS ≠ RHS)

Option 4) -, -, =, +

84 - 6 - 25 = 13 + 3

84 - 6 - 25 = 16

84 - 31 = 16

53 ≠ 16(LHS ≠ RHS)

Hence, "÷, +, =, ×" is the correct answer.

The pattern followed here is :

There are two series in the given series:

Series 1: 78 - 24 = 54; 54 - 24 = 30 ; 

Series 2: 97 + 24 = 121; 121 + 24 = 145.

Hence, "121" is the correct answer.

The logic followed here is:

Table of english alphabet positional value is as follows:

‘ACNE’ is written as ‘XZVM’

A is sitting opposite to Z according to table as given above. same way all letters are sitting opposite according to positional value table

‘BODY’ is written as ‘LYBW’

Similarly,

'EVIL' is written as 'EVOR'

Hence, EVOR is the correct answer.

The logic followed here is:

The figure that will replace the question mark in the following figure series is given below:

Hence, Option 3) is the correct answer.

Calculation:

⇒ Number of women in City T = 45% of 46200

⇒ Number of women in City T = $\frac{45}{100}\times 46200=20,790$

⇒ Number of men in City P = 45% of 46800

⇒ Number of men in City P = $\frac{45}{100}\times 46800=21,060$

⇒ Percentage formed by number of women in city T as compared to number of men in city P = $\frac{20790}{21060}\times 100=98.72$

Hence, the percentage formed by number of women in city T as compared to number of men in city P is 98.72%

Given:

Difference between two supplementary angles = 74º

Concept Used:

Sum of two supplementary angles = 180º

Calculation:

Let one angle be xº

So, the other angle will be (x – 74)º

Adding both angles together, we get

⇒ x + x – 74 = 180° 

⇒ 2x = 180 + 74 = 254° 

⇒ x = $\frac{254}{2}=127$

⇒ So, first angle is 127º

⇒ Then, other angle will be = 127 – 74 = 53º

Hence, one of the angle is 53º

Given:

Selling price of an article = Rs 255

Loss percentage = 15%

Concept Used:

Cost Price = $\frac{100}{100-Loss\%}\times SP$

Profit % = $\frac{Profit}{CP}\times 100$

Calculation:

⇒ Cost Price of an article = $\frac{100}{100-15}\times 255$

⇒ Cost Price of an article = $\frac{100}{85}\times 255=300$ Rs

⇒ When article is sold at Rs 357,

⇒ Profit = SP – CP = 357 – 300 = Rs 57

⇒ Profit % = $\frac{57}{300}\times 100=19\%$

Hence, the net result in the transaction is 19% profit.

Given:

Successive discounts = 16% and 4%

Single discount = 20%

Bill amount = Rs 50,000

Concept Used:

Discount = Amount – Discount % of Amount

Calculation:

⇒ Price after single discount of 20% = 50000 – 20% of 50000

⇒ Price after single discount of 20% = $50000-\frac{20}{100}\times 50000=50000-10000=40000$ Rs

 Applying successive discounts

⇒ Price after 16% discount = 50000 – 16% of 50000

⇒ Price after 16% discount = $50000-\frac{16}{100}\times 50000=50000-8000=42000$ Rs

⇒ Again after discount of 4% = 42000 – 4% of 42000

⇒ Price after total successive discounts = $42000-\frac{4}{100}\times 42000=42000-1680=40320$ Rs

⇒ Difference after applying both discounts = 40320 – 40000 = Rs 320

Hence, the difference between the single discount and successive discounts on a bill is of Rs 320

Given:

Marked Price of suitcase = Rs 2,500

Discount = 10%

Profit % = 20%

Concept Used:

Cost Price = $\frac{100}{100+Profit\%}\times SP$

Calculation:

⇒ Selling Price of suitcase = MP – Discount % of MP

⇒ Selling Price = 2500 – 10% of 2500 = $2500-\frac{10}{100}\times 2500=2500-250=2250$ Rs

According to the question, it makes profit of 20%

⇒ So, Cost Price of suitcase = $\frac{100}{100+20}\times 2250=\frac{100}{120}\times 2250$

⇒ Cost Price = $\frac{10}{12}\times 2250=10\times 187.5=Rs 1875$

Hence, the cost price of a suitcase is Rs 1875

Calculation:

⇒ Sum of weight of 7 years and 8 years = 22 + 27 = 49 kg

⇒ Sum of weight of 8 years and 9 years = 27 + 25 = 52 kg

⇒ Sum of weight of 6 years and 7 years = 22 + 22 = 44 kg

⇒ Sum of weight of 6 years and 9 years = 22 + 25 = 47 kg

Hence, the sum of weight of kids which exceeds 50 kg is of 8 years and 9 years.

Given:

Number of days taken by X to complete the work = 6 days

Number of days taken by Y to complete the work = 12 days

Concept Used:

Work Efficiency = Total Work ÷ Total Time Taken

Calculation:

Let the total units of work be 18 units

⇒ Work Efficiency for X = $\frac{18}{6}=3$ units / day

⇒ Work Efficiency for Y = $\frac{18}{12}=1.5$ units / day

According to the question, work starts with X

⇒ First day work by X = 3 units

⇒ Second day work by Y = 1.5 units

⇒ Same way, working alternatively number of days taken to complete the work = $\frac{18}{4.5}\times 2=8$ days

Hence, working alternatively starting with X, the total number of days taken to finish the work is 8 days.

Given:

Dividend = 246837

Divisor = 13

Concept Used:

Divisibility Rule of 13 = For a given number, form alternating sums of blocks of three numbers from the right and move towards the left.

Calculation:

Applying the divisibility rule on 246837

⇒ 837 – 246 = 591

⇒ Dividing 591 by 13 gives

⇒ Quotient = 45 and Remainder = 6

So, 591 – 6 = 585 is divisible by 13

Hence, the number which should be subtracted from 246837 to make it divisible by 13 is 6

Concept Used:

Fourth proportional of three numbers, a, b, and c = $\frac{b\times c}{a}$

Calculation:

⇒ a = 14, b = 21, c = 28

⇒ Fourth proportional of these three numbers = $\frac{21\times 28}{14}$

⇒ Fourth proportional = 42

Hence, the fourth proportional to 14, 21, 28 is 42

Given:

Percentage of salary spent on grocery = 20%

Percentage of salary spent of house rent = 30%

Left Amount = Rs 8400

Concept Used:

Monthly Salary = Expenditures + Savings

Calculation:

Let the monthly salary of man be Rs x

⇒ Amount left after spending on grocery = x – 20% of x = $x-\frac{20}{100}\times x=\frac{5x-x}{5}=\frac{4x}{5}$

⇒ Now, Amount left after spending on house rent = $\frac{4x}{5}-\frac{30}{100}\times \frac{4x}{5}=\frac{4x}{5}-\frac{6x}{25}$

⇒ Amount left after spending on house rent = $\frac{20x-6x}{25}=\frac{14x}{25}$

 According to question,

⇒ $\frac{14x}{25}=8400$

⇒ $x=\frac{8400\times 25}{14}=15000$

Hence, the monthly salary of a man is Rs 15,000

Given:

Distances = 10 km, 20 km, 30 km

Speeds = 30 km/h, 40 km/h, 60 km/h

Concept Used:

$Time=\frac{Distance}{Speed}$

Calculation:

⇒ Time taken for the distance of 10 km = $\frac{10}{30}=\frac{1}{3}$ hours

⇒ Time taken for the distance of 20 km = $\frac{20}{40}=\frac{1}{2}$ hours

⇒ Time taken for the distance of 30 km = $\frac{30}{60}=\frac{1}{2}$ hours

⇒ Total Distance = 10 + 20 + 30 = 60 km

⇒ Average Speed of car = $\frac{60}{\frac{1}{3}+\frac{1}{2}+\frac{1}{2}}=\frac{60}{1+\frac{1}{3}}$

⇒ Average Speed of car = $\frac{60}{\frac{4}{3}}=\frac{60\times 3}{4}=45km/h$

Hence, the average speed of the car is 45 km/h.

Given:

x = $\sqrt{10} + \sqrt{11}$

y = $\sqrt{10}-\sqrt{11}$

Concept Used:

(a + b)² = a² + b² + 2ab

(a – b)² = a² + b² – 2ab

(a + b)(a – b) = a² – b²

Calculation:

⇒ 7x² – 50xy + 7y² 

⇒  7($\sqrt{10}+\sqrt{11}$)² – 50 ($\sqrt{10}+\sqrt{11}$)($\sqrt{10}-\sqrt{11}$) + 7($\sqrt{10}-\sqrt{11}$)²

⇒ 7$[(\sqrt{10})^2+(\sqrt{11})^2+2\times \sqrt{10}\times \sqrt{11}]$ – 50$[(\sqrt{10})^2-(\sqrt{11})^2]$ + 7$[(\sqrt{10})^2+(\sqrt{11})^2-2\times \sqrt{10}\times \sqrt{11}]$

⇒ 7(10 + 11 + $2\sqrt{110}$) – 50(10 – 11) + 7(10 + 11 – $2\sqrt{110}$)

⇒ 147 + $14\sqrt{110}$ + 50 + 147 – $14\sqrt{110}$

⇒ 344

∴ The value of the given expression is 344

Shortcut Trick

When the distance is constant for both parts of a journey, Average Speed = 2xy ÷ (x + y)

⇒ Forward speed (x) = 84 km/h, Return speed (y) = 56 km/h

⇒ Average speed = (2 × 84 × 56) ÷ (84 + 56)

⇒ Average speed = (2 × 84 × 56) ÷ 140

⇒ Average speed = 9408 ÷ 140 = 67.2 km/h

∴ The correct answer is 67.2 km/h.

Alternate Method

Station A

Station B

Distance = 778 km

Speed = 84 km/h

Return Speed = 56 km/h

Given:

⇒ Distance between stations A and B = 778 km

⇒ Forward speed (v₁) = 84 km/h

⇒ Return speed (v₂) = 56 km/h

Formula Used:

⇒ Average Speed = Total Distance ÷ Total Time

⇒ Time = Distance ÷ Speed

Calculation:

⇒ Total Distance for the round trip = 778 + 778 = 1556 km

⇒ Time taken from A to B = 778 ÷ 84 hours

⇒ Time taken from B to A = 778 ÷ 56 hours

⇒ Total Time = (778 ÷ 84) + (778 ÷ 56)

⇒ Taking 778 common, Total Time = 778 × (1/84 + 1/56)

⇒ LCM of 84 and 56 is 168. Therefore, 1/84 + 1/56 = (2 + 3) ÷ 168 = 5 ÷ 168

⇒ Total Time = (778 × 5) ÷ 168 hours

⇒ Average Speed = 1556 ÷ [(778 × 5) ÷ 168]

⇒ Average Speed = (1556 × 168) ÷ (778 × 5)

⇒ Average Speed = (2 × 168) ÷ 5 = 336 ÷ 5 = 67.2 km/h

∴ The correct answer is 67.2 km/h.

Additional Information

Average Speed for Unequal Distances

When different distances are covered at varying speeds, the direct formula cannot be used. Always apply the base formula: Average Speed = Total Distance ÷ Total Time.

Average Speed for Three Equal Distances

If a vehicle covers three equal parts of a journey at speeds x, y, and z respectively, the overall average speed is calculated as: 3xyz ÷ (xy + yz + zx).

Relative Speed Concept

When two objects move towards each other (opposite directions), their Relative Speed = S₁ + S₂. When moving in the same direction, Relative Speed = |S₁ − S₂|.

Given:

First Number = 30% less than the third number

Second Number = 37% less than the third number

Calculation:

Let the third number be 100

⇒ First number = 100 – 30% of 100

⇒ First number = $100-\frac{30}{100}\times 100=100-30=70$

⇒ Second number = 100 – 37% of 100

⇒ Second Number = $100-\frac{37}{100}\times 100 = 100-37 = 63$

⇒ Difference between first and second number = 70 – 63 = 7

⇒ Percentage difference between first and second number = $\frac{7}{70}\times 100=10\%$

Hence, the second number is less than first number by 10%.

Given:

Cost Price of a house = Rs 2,00,000

Loss percentage after selling = 10%

Investment rate = 20% p.a.

Duration of investment = 2 years

Concept Used:

Amount = Principal$\left(1+\frac{r}{100}\right)^n$

Calculation:

⇒ Selling price at a loss of 10% = $\frac{100-Loss\%}{100}\times CP=\frac{90}{100}\times 200000=180000$ Rs

⇒ Now, Principal = 1,80,000 Rs

⇒ Value of investment after 2 years = 180000$\left(1+\frac{20}{100}\right)^2$

⇒ Value of investment after 2 years = $180000\times \frac{120}{100}\times \frac{120}{100}=2,59,200$ Rs

Hence, the value of investment after 2 years would be Rs 2,59,200

Concept Used:

tan (a + b) = $\frac{tana + tanb}{1-tana\times tanb}$

Calculation:

⇒ tan (π + θ ) = $\frac{tan\pi + tan\theta}{1-tan\pi \times tan\theta}$

⇒ We know the value of $tan\pi =0$,

⇒ $\frac{tan\pi + tan\theta}{1-tan\pi \times tan\theta}=\frac{0+tan\theta}{1-0}=tan\theta$

Hence, the value of tan (π + θ ) is $tan\theta$

Given:

Value of C = 8085

Value of C = 22.5% more than B

Value of B = 17.5% less than A

Calculation:

As given, C = 8085

⇒ Let the value of B be x

⇒ Value of C = x + 22.5% of x

⇒ $x+\frac{22.5}{100}\times x=8085$

⇒ $122.5x=808500$

⇒ $x=\frac{808500}{122.5}=6600$ Rs

Now, let the value of A be y

⇒ Value of B = y – 17.5% of y

⇒ $6600=y-\frac{17.5}{100}\times y=\frac{82.5y}{100}$

⇒ $y=\frac{6600\times 100}{82.5}=80\times 100 = 8000$ Rs

Hence, the value of A is Rs 8,000

Given:

Surface area of sphere = 100π cm²

Concept Used:

Surface Area of Sphere = $4\pi r^2$

Volume of Sphere = $\frac{4}{3}\pi r^3$

Calculation:

⇒ Surface Area of spherical volleyball = 100π cm²

⇒ $4\pi r^2=100\pi$

⇒ $r^2=\frac{100\pi}{4\pi}=25$

⇒ $r=\sqrt{25}=5$

⇒ Now, Volume of air enclosed in the ball = $\frac{4}{3}\pi \times 5^3=\frac{4}{3}\pi \times 125$

⇒ Volume of air enclosed in the ball = $\frac{500}{3}\pi$ cm³

Hence, the volume of air enclosed in the ball is $\frac{500}{3}\pi$ cm³.

Concept Used:

BODMAS = Bracket, Of, Division, Multiplication, Addition, Subtraction

Calculation:

⇒ 9 ×  4 of 3 ÷ 2 - 5 × Q + 2 × 3 = 10

⇒ 9 ×  12 ÷ 2 - 5 × Q + 2 × 3 = 10

⇒ 9 × 6 - 5 × Q + 2 × 3 = 10

⇒ 54 - 5Q + 6 = 10

⇒ 5Q = 60 – 10 = 50

⇒ $Q=\frac{50}{5}=10$

Hence, the value of Q is 10

Given:

Average of four numbers = 48

Average of first three numbers = 42

Average of last three numbers = 50

Concept Used:

Average = Total Sum of Values ÷ Total Number of Values

Calculation:

⇒ Let the four numbers be a, b, c, d.

⇒ Average of four numbers = $\frac{a+b+c+d}{4}$

⇒ $\frac{a+b+c+d}{4}=48$

⇒ a + b + c + d = 48 × 4 = 192            → (1)

⇒ Average of first three numbers = $\frac{a+b+c}{3}$

⇒ $\frac{a+b+c}{3}=42$

⇒ a + b + c = 42 × 3 = 126                  → (2)

⇒ Average of last three numbers = $\frac{b+c+d}{3}=50$

⇒ b + c + d = 50 × 3 = 150                  → (3)

⇒ Putting the value of equation (2) into (1),

⇒ 126 + d = 192

⇒ d = 192 – 126 = 66

⇒ Putting the value of equation (3) into (1),

⇒ a + 150 = 192

⇒ a = 192 – 150 = 42

⇒ Average of first and fourth number = $\frac{a+d}{2}=\frac{66+42}{2}$

⇒ Average of first and last number = $\frac{108}{2}=54$

Hence, the average of first and last number is 54

Given:

Weightage of assignments = 28%

Weightage of tests = 22%

Weightage of final exam = 50%

Grade in assignment = 80

Grade in test = 75

Grade in final exam = 86

Calculation:

⇒ Marks for overall grade from assignments = 28% of 80

⇒ Marks of overall grade from assignments = $\frac{28}{100}\times 80=22.4$ 

⇒ Marks for overall grade from tests = 22% of 75

⇒ Marks for overall grade from tests = $\frac{22}{100}\times 75=16.5$

⇒ Marks for overall grade from final exam = 50% of 86

⇒ Marks for overall grade from final exam = $\frac{50}{100}\times 86=43$

⇒ Overall grade for the year = 22.4 + 16.5 + 43 = 81.9

Hence, the overall grade for the year is 81.9