SSC CHSL 2020 Official Paper 22 (Held on: 6 Aug 2021 Shift 1) (Previous Year Paper)

The correct answer is 'CDAB'.

Key Points

• In order to arrange such types of jumbled sentences in the correct sequence, we need to follow some basic rules.
• This type of question comes under the chronological group category.
• Just we need to follow the words like first, second, next, last, finally, etc.
• If we read the sentences, we get to know the method of re-potting has been explained.
• Option C must be the first line as it's already mentioned in the sentence. (The first thing to do)
• Option D will be the second, as it's explaining how to start the process. (Begin by holding)
• Option A is the third sentence, as it's mentioned what to do next. (Next, keep tapping)
• Option B is the last one, as the word 'finally' clearly states the last step. (Finally, slide the plant gently).
• Hence, the correct answer is option 2.

Additional Information

• Sometimes in the 'chronological group category' sentence would be there with the date or year when a particular event took place.
• For example:
• In 1950, he was born. In 1980 wrote a novel. In 2010, he died.

The correct answer is 'Notwithstanding we were'.

Key Points

• In the given sentence, the main focus is on the reason to cancel the outing.
• Reason can be expressed with the words like because or as.
• As we were all busy that weekend we had to cancel the outing.
• The use of notwithstanding is inappropriate here.
• Hence, the correct answer is option 3.

Additional Information

• Notwithstanding (preposition) means 'despite the face or thing mentioned.'
• Notwithstanding severe headache, he gave the presentation.
• Many criticisms notwithstanding, this movie broke the record.

The correct answer is 'Insensitive'.

Key Points

• Callous means unkind, cruel, and without sympathy or feeling for other people.
• It may sound callous, but he doesn't care about the relationship when it comes to money.
• Insensitive means not feeling or showing sympathy for other people's feelings.
• Hence, the correct answer is option 4.​

Additional Information

Let's understand the meaning of other words.

• Inaccurate (adjective) - not completely correct or exact - We will have a huge loss if we are inaccurate in the calculation of the budget.
• Incredible (adjective) - extremely good and impossible to believe - John's incredible performance proved his worth in the organization.
• Inexperienced (noun) - lack of knowledge or experience - She has been criticized for her inexperience in communication skills.

The correct answer is 'The car was driven very carefully on the hilly terrain.'

Key Points

• The sentence is in the past tense (indefinite) as the second form of a verb (drove) is used.
• To convert this sentence into passive, we need to make some changes.
• Start the sentence with the object (the car).
• Helping verb (was) with 3rd form of the main action verb (driven) would be used.
• On the basis of the above-mentioned changes, the passive sentence would be.
• The car was driven very carefully on the hilly terrain.
• Hence, the correct answer is option 2.

Additional Information

• Let's understand the concept with some more examples.
• He bought a costly mobile a week ago.
• A costly mobile was bought by him a week ago. (Don't mention the doer if you want to draw attention on mobile only.)

The correct answer is 'No improvement,'

Key Points

• In the sentence, the person is recalling that where he has dropped his one of the gloves.
• To express high possibility in past tense, the model 'must' is used with 'have and 3rd form of a verb'.
• If we check the sentence, there is not required any improvement.
• Hence, the correct answer is option 1.

The incorrect spelling is 'titilate',

Key Points

• If we observe the options, we find that:
• Option 3 'titilate' is wrongly spelled, the accurate spelling is 'titillate'.
• Titillate (verb) - to make someone excited intentionally but only a little, usually with sexual images and descriptions.
• Many advertisements are intentionally designed to titillate.
• Hence, the correct answer is option 3.

Additional Information

• Let's understand the meaning of other words.
• Aggravate (verb) - to make a bad situation worse - Barricading the routes just aggravates the problem of traffic jams.
• Initiate (verb) - to begin something - I was the one who initiated the group discussion.
• Mediate (verb) - to intervene in a dispute to bring about an agreement - We have an experienced manager to mediate between the client and the salesman.

The correct answer is 'without a reasonable explanation.'

Key Points

• If we read the sentence, we get to know that the person is impulsive and he does things .... (in a negative manner)
• The phrase 'without rhyme or reason' means without any obvious reasonable explanation. (बिना किसी स्पष्ट उचित स्पष्टीकरण के)
• He was sent behind the bars without rhyme or reason.
• Hence, the correct answer is option 4.

Additional Information

• The phrase 'rhyme or reason' means sense, logic, meaning, or planning.
• And when we add 'without or with no' in the beginning, it becomes without any obvious reasonable explanation.
• We will have to repent if we do something without rhyme or reason.

The correct answer is 'fortnight'.

Key Points

• A period of two weeks or fifteen days is called 'a fortnight'.
• I will be back in a fortnight.
• The project will be completed in a fortnight.
• Hence, the correct answer is option 3.

 Additional Information

• Let's understand the meaning of other words.
• Months - It is one of the twelve periods of time that a year is divided into. January, February, etc.
• Century - It is a period of hundred years that is when stating a date. The 19th century was the period from 1801 to 1900.
• Decade - It is a period of ten years. 1980 to 1989

The incorrect spelling is 'arrivel'.

Key Points

• Arrivel is the word that is misspelt.
• The accurate spelling is 'arrival'.
• It means the action, process, or fact of arriving somewhere.
• On the arrival of a famous cricketer, many people were gathered.
• There was no one present on my arrival.
• Hence, the correct answer is option 1.

Additional Information

• Let's understand the meaning of other words.
• Modern - designed or made using the most recent ideas and methods.
• Applause - the action or sound made by people clapping their hands repeatedly.
• Serious - severe in effect, not joking.

The correct answer is 'Deepu told Reena that he loved Bollywood music.'

Key Points

• The sentence is in the past tense.
• To convert from direct into indirect speech, we need to make some required changes.
• First of all, 'said to' will be changed into 'told'.
• Second, remove inverted commas and use 'that'.
• Based on the subject and object of reporting speech, bring some changes in the reported speech noun. (Deepu is the one who loved music, so change 'I' into 'he'.)
• Make required changes in the verb based on the tense of 'reporting speech'. ('Said to' represents past indefinite tense so the verb 'love' will be changed into 'loved'.)
• Now the indirect speech would be:
• Deepu told Reena that he loved Bollywood music.

Additional Information

• Let's understand the same concept with some more examples.
• John said to Eva, "I want to be a great lawyer".
• John told Eva that he wanted to be a great lawyer.
• Patrick said to me, "I like Bollywood movies".
• Patrick told me that he liked Bollywood movies.

The correct answer is 'furious'.

Key Points

• Livid means extremely angry, furious, etc.
• He was livid to see the journalist.
• She was livid to observe her friend's behavior.
• Hence, the correct answer is option 4.

Additional Information

• Let's understand the meaning of other words.
• Lively - full of energy and enthusiasm - We have a lively group of faculty.
• Timid - shy and nervous - I was timid in childhood and gradually I gained confidence.
• Mild - not extreme and violent - He doesn't accept even mild criticism of his work.

The correct answer is 'during the day.'

Key Points

• According to the sentence, throughout the day small desert animals stay underground and come out only at night.
• To express throughout the course and duration, we can use the preposition 'during'.
• Small desert animals burrow underground during the days and come out only at night.
• Hence, the correct answer is option 4.

Additional Information

• Let's understand the use of the preposition 'during' with some more examples.
• During - from the beginning to the end of a particular period.
• He works during the night and sleeps in the day.
• I decided to spend my weekends in the hill station during the summer.

The correct answer is 'as well as also money'.

Key Points

• If we observe the sentence, there is no need to use 'also' with 'as well as'.
• If you rent a house near your office, it will save your time as well as money.

Hence, the correct answer is option 2.

Additional Information

As well as is an adverb that means 'also', 'too', or 'in addition.' 

Normally, it is used at the end of the clause.

• We look forward to seeing you again and to meeting your wife as well.

As well as is a multi-word preposition which means 'in addition to'.

• They have invited Robert as well as Jill.
• When I go to the hill station, I like waking as well as skiing.

The correct answer is 'matricide.'

Key Points

Let's understand the meaning of given words.

• Patricide - The killing of one's father.
• Regicide - A person who kills or takes part in killing a king.
• Infanticide - A person who kills his/her child within a year of birth.
• Matricide - The killing of one's mother

  Hence, the correct answer is option 4.

Additional Information

• Parricide or Parenticide - The killing of one's mother, father, or other close relatives.
• Fratricide - The act of killing a brother; in the military context, death by friendly fire.

The correct answer is 'to make something worse'.

Key Points

• The meaning of the idiom:
• 'Add insult to injury' means to act in a way that makes a bad situation worse.
• She told him that he was too old to work, and then to add insult to injury, she deducted the amount based on that.
• Hence, the correct answer is option 2.

Additional Information

• Let's understand the meaning of this idiom with some more examples. 
• He was so upset to see his result, and then to add insult to injury, his father rebuked him harshly.
• He lost his wallet while coming from the office, and then to add insult to injury, the traffic police charged a penalty for crossing the speed limit.

The correct answer is 'teems'.

Key Points

• Let's understand the meaning of words.
• Crowd (verb) - fill (a large number of people), almost completely, no room for movement.
• Expand (verb) - become or make larger or more extensive.
• Teem (verb) - be full of or swarming with.
• Suffice (verb) - be enough or sufficient.
• ​This part of the sea teems with sharks.
• Hence, the correct answer is option 3.

Additional Information

• Let's understand with some more examples.
• Every garden is teeming with wildlife.
• If your neighborhood teems with cats, it means many cats are running around.
• He thinks 20000/- per month can suffice to manage his expenses.

The correct answer is 'heartening'.

Key Points

• Let's understand the meaning of the given options.
• Savour - to enjoy food or an experience slowly.
• Relish - to like or enjoy something.
• Reunite - to bring people together again.
• Hearten - to make someone feel happier and more positive about the situation.
• ​It is heartening to see so many of our fellow Indians help the migrants in their struggle to go home.
• Hence, the correct answer is option 4.

Additional Information

• Let's understand with some more examples.
• When you have any sweets after a long time, I suggest you savour every mouthful.
• My friend always relishes the challenge.
• I decided to reunite all my friends and have a party.
• I was heartened by the news that my friend is getting married.

The correct answer is 'frugal'.

Key Points

• The word 'lavish' means the one who is careless in spending, giving, or using more than is necessary or reasonable.
• The antonym of this word is frugal which means the one who is careful to use only as much money, food, etc as is necessary.
• Hence, the correct answer is option 1.

Additional Information

• Let's understand the meaning of other words.
• Tiny - extremely small.
• Luxurious - very comfortable and expensive.
• Excessive - too much.

The correct answer is 'BADC'.

Key Points

• In order to arrange the jumbled sentences in order, we need to understand some of the hints already given in the sentences.
• The first sentence would be 'B', as it's clearly mentioned the very first thing Mohan did.
• (Mohan first equipped himself with a long, sturdy stick.)
• The second sentence is 'A', as it states the reason why Mohan took that sturdy stick.
• (Then he started on his eighteen-kilometer expedition back to his village.)
• The third sentence will be 'D' which tells what this eighteen-kilometer expedition is. 
• ​*(It was a journey he would never forget where he had to use his stick constantly to locate the road.)*
• The last sentence is obviously 'C' that we are left with.
• (At several points, he lost the road and had to swim his way ahead.)
• Hence, the correct answer is option 1.

The correct answer is 'aversion'.

Key Points

• The word 'affinity' means a natural liking for and understanding of someone or something.
• She has a special affinity with dogs.
• The antonym of this word is aversion which means a strong dislike or unwillingness. 
• I had a deep aversion to waking up early morning.
• Hence, the correct answer is **option 1.**​

Additional Information

• Let's understand the meaning of other words.
• Weakness - the state or condition of being weak.
• Inclination - tendency to act or feel in a particular way.
• Attraction - feeling of liking someone because of the way they look or behave.

The correct answer is 'like'.

Key Points

• At the beginning of the passage, it's clearly mentioned that the king and the ministers were fools.
• By just roughly going through the passage, you would get to know that they wanted to do something different than other kingdoms.
• Now if we look at the options:
• 'So as' means with the purpose.
• 'Same' means not different.
• 'Than' is used for comparison.
• 'Like' means having the same qualities.
• Apart from the preposition 'Like', none is relevant as per the context.
• They didn’t want to do things like other kingdoms.
• Hence, the correct answer is option 1.

Additional Information

• Let's understand the usage of 'like' with some more examples.
• I don't want to be like you.
• He didn't want to dance like others.

The correct answer is 'change'.

Key Points

• The sentence says that the king and the ministers didn't want to do the same things as other kingdoms.
• In order to do something different, they have to change something.
• That's why options 1,2, and 3 i.e. agree, adjust, and develop are not relevant.
• so they decided to change night into day and day into night.
• Hence, the correct answer is option 4.

Additional Information

• If we need to make changes completely, the words related to the agreement, adjustment, and development won't work.

The correct answer is 'ordered'.

Key Points

• When we read the sentence, we get to know that in order to keep everyone awake at night an authoritative action must be taken.
• 'Ordered' means an authoritative command or instruction.
• 'Rule' means exercising ultimate power over (the area and its people).
• 'Present' means give or award formally or ceremonially.
• 'Believe' means to accept something is true.
• If we check the meaning of the words only one word serves the requirement i.e. ordered.
• They ordered that everyone should be awake at night.
• Hence, the correct answer is option 1.

Additional Information

• Let's understand the meaning of given words with some more examples.
• Our commander ordered us to leave the place immediately.
• Our country has been ruled by corrupted politicians after Britishers.
• He presented a proposal in such a graceful manner that she could not deny it.
• I believed him without any evidence and expelled one of my experienced employees.

The correct answer is 'till'.

Key Points

• The sentence says that it was ordered by them to stay awake at night and prepare land for crops.
• It means to turn over the soil.
• If we look at the options:
• Option 1 'till' means to turn over the soil and to prepare land for crops to be planted.
• Option 2 'cut' - there is nothing to cut in the land.
• Option 3 'dig' - there is no benefit to digging the land.
• Option 4 'sow' - without preparing the land, the process of sowing can't be possible.
• 'Till' is right option that is relevant according to the context.
• They ordered that everyone should be awake at night, till their lands.
• Hence, the correct answer is option 1.

The correct answer is 'business'.

Key Points 

• The sentence says that it was ordered by them to stay awake at night and till their lands and run their _____ only after dark.
• If we look at the options:
• Option 1 'employment' - there is nothing related to the employment in the sentence.
• Option 2 'business' - another meaning of business is related to work. Running a business is quite common in usage.
• Option 3 'career' - there is nothing related to the career in the sentence.
• Option 4 'livelihood' - securing the necessities of life.
• 'Business' is the right option that is relevant according to the context.
• They ordered that everyone should be awake at night, till their lands and run their business only after dark.
• Hence, the correct answer is option 2.

The image obtained when the paper is unfolded is,

Hence, **"**option 2" is the correct answer.

The table is alphabets place value:

The pattern followed here is:

Sum of the positional values of the letters + total number of the letter = number.

BANKER → Total number of latter is 6.

B(2) + A(1) + N(14) + K(11) + E(5) + R(18) = 2 + 1 + 14 + 11 + 5 + 18 = 51

Sum of the positional values of the letters + total number of the letter = number

51 + 6 = 57

And,

SPAN → Total number of latter is 4.

S(19) + P(16) + A(1) + N(14) = 19 + 16 + 1 + 14 = 50

Sum of the positional values of the letters + total number of the letter = number

50 + 4 = 54

Similarly,

PRANK → Total number of latter is 5.

P(16) + R(18) + A(1) + N(14) + K(11) = 16 + 18 + 1 + 14 + 11 = 60

Sum of the positional values of the letters + total number of the letter = number

60 + 5 = 65

Hence, PRANK will be written as “65”.

The Logic here is as follows:

1^st Number : 2^nd number

=> (1^st Number × 5) ÷ 2 = 2^nd number

In 28 : 70

(1^st Number × 5) ÷ 2

= (28 × 5) ÷ 2

= 140 ÷ 2

= 70 = 2^nd number

Now check the all options,

Option (1) 30 : 83

(1^st Number × 5) ÷ 2

= (30 × 5) ÷ 2

= 150 ÷ 2

= 75 ≠ 2^nd Number

Option (2) 12 : 32

(1^st Number × 5) ÷ 2

= (12 × 5) ÷ 2

= 60 ÷ 2

= 30 ≠ 2^nd Number

Option (3) 18 : 45

(1^st Number × 5) ÷ 2

= (18 × 5) ÷ 2

= 90 ÷ 2

= 45 = 2^nd Number

Option (4) 34 : 86

(1^st Number × 5) ÷ 2

= (34 × 5) ÷ 2

= 170 ÷ 2

= 85 ≠ 2^nd Number

Hence, the correct answer is "18 : 45".

Alternate MethodThe logic followed here is:

(1st number ÷ 2) × 5 = 2nd number

For 28 : 70

28 = 14 × 2

70 = 14 × 5 

Similarly, 

Option 3) 18 : 45

18 = 9 × 2 

45 = 9 × 5

Hence, the correct answer is "Option 3".

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'MIGF’.

Hence, “MIGF” is the odd one.

The Logic here is as follows:

(1^st Number + 2^nd number) × 2 + 1 = 3^rd Number

In {2, 2, 9}

(1^st Number + 2^nd number) × 2 + 1

= (2 + 2) × 2 + 1

= 4 × 2 + 1

= 8 + 1

= 9 = 3^rd Number

Now check the all options,

Option (1) {12, 60, 98}

(1^st Number + 2^nd number) × 2 + 1

= (12 + 60) × 2 + 1

= 72 × 2 + 1

= 144 + 1

= 145 ≠ 3^rd Number

Option (2) {6, 18, 46}

(1^st Number + 2^nd number) × 2 + 1

= (6 + 18) × 2 + 1

= 24 × 2 + 1

= 48 + 1

= 49 ≠ 3^rd Number

Option (3) {8, 36, 81}

(1^st Number + 2^nd number) × 2 + 1

= (8 + 36) × 2 + 1

= 44 × 2 + 1

= 88 + 1

= 89 ≠ 3^rd Number

Option (4) {4, 8, 25}

(1^st Number + 2^nd number) × 2 + 1

= (4 + 8) × 2 + 1

= 12 × 2 + 1

= 24 + 1

= 25 = 3^rd Number

Hence, the correct answer is "{4, 8, 25}".

The logic followed here is:

Option (1) 2197 → It is perfect cube of 13.

Option (2) 4913 → It is perfect cube of 17.

Option (3) 1331 → It is perfect cube of 11.

Option (4) 2379 → It is not a perfect cube of any number.

Hence, “2379” is an odd one.

The Logic here is as follows:

(1^st Number ÷ 2) × (2^nd number ÷ 2) = 3^rd Number

In (14, 22, 77)

(1^st Number ÷ 2) × (2^nd number ÷ 2)

= (14 ÷ 2) × (22 ÷ 2)

= 7 × 11

= 77 = 3^rd Number

Now check the all options,

Option (1) (20, 16, 105)

(1^st Number ÷ 2) × (2^nd number ÷ 2)

= (20 ÷ 2) × (16 ÷ 2)

= 10 × 8

= 80 ≠ 3^rd Number

Option (2) (17, 15, 76)

(1^st Number ÷ 2) × (2^nd number ÷ 2)

= (17 ÷ 2) × (15 ÷ 2)

= 8.5 × 7.5

= 63.75 ≠ 3^rd Number

Option (3) (22, 11, 86)

(1^st Number ÷ 2) × (2^nd number ÷ 2)

= (22 ÷ 2) × (11 ÷ 2)

= 11 × 5.5

= 60.5 ≠ 3^rd Number

Option (4) (18, 32, 144)

(1^st Number ÷ 2) × (2^nd number ÷ 2)

= (18 ÷ 2) × (32 ÷ 2)

= 9 × 16

= 144 = 3^rd Number

Hence, the correct answer is "(18, 32, 144)".

Given:

'A + B' means 'A is the mother of B'.

'A × B' means 'A is the sister of B'.

'A * B' means 'A is the daughter of B'.

Let us first decode the given symbols and then draw a family tree.

 

Now break the code of ‘R + V × Q × M * P’

1) R + V

'R + V' means 'R is the mother of V'

2) V × Q

'V × Q' means 'V is the sister of Q'

3) Q × M

'Q × M' means 'Q is the sister of M'

4) M * P

'M * P' means 'M is the daughter of P'

Hence, R is “wife” of P.

Statements:

All statements are answers.

Some statements are questions.

The least possible diagram for the given statements is as follows

Conclusions:

I. No question is a statement → False (it is not a possibility because already statement given some statements are questions)

II. Some answers are statements → True (because all statements are answers so some answers are also statements)

III. Some questions are statements → True (because some statements are questions so some questions are also statements)

Hence, “Only conclusions II and III follow”.

Given :- K _ P _ L C _ R _ C P _ N _ P R

By checking options and substituting accordingly.

1): C R P M R C → K C P R / L C P R / M C P R / N C P R

Here first letter of word is increasing by +1.

K + 1 = L, L + 1 = M, M + 1 = N.

2): M R P M R R → K M P R / L C P R / M C P R / N R P R

3): E R P R R C → K E P R / L C P R / R C P R / N C P R

4): C P P M R R → K C P P / L C P R / M C P R / N R P R

• Option (1) gives a pattern of K C P R / L C P R / M C P R / N C P R.

Hence**, ‘C R P M R C’** is the correct answer.

The correct mirror image of the given figure when the mirror is held at the right side is:

Hence, "option (2)" is the correct answer.

Additional Information  

In Mirror image left side and right side changed vice-versa where top and bottom remain same.

Reflection of an object into the water is its water image. It appears by inverting an object vertically i.e. upside down.

The water image of the figure looks like the mirror image of the figure in case the mirror is horizontally at the bottom of the figure.

Water image is just a reflection where top and bottom part of the images changed where left and right side of the image remain same.

The logic followed here is:

Except option 1, all words are negative words whereas option 1 word is positive word in all words.

Option 1) Contentment is the state of being happy and satisfied

Option 2) Disgust is a feeling of very strong dislike or disapproval.

Option 3) Sadness is the state of being sad.

Option 4) Jealousy is the feeling of anger.

Hence, “Contentment” is an odd one.

The number of triangles in the given figure is:

So, there are a total of 26 triangles in the figure.

Hence, ‘26’ is the correct answer.

The logical and meaningful order of the given words is as follows:

LOGIC: The words have been arranged according to the stage of education.

4. Application → Firstly we fill out the application form for admission in school, college or institute etc.

2. Admission → After filling out the application form we get admission to school, college or institute etc.

1. Class → After admission we attend the class in school, college or institute etc.

5. Assessment → After exam assessment of marks in school, college or institute etc.

3. Certificate → After the assessment we get the certificate in school, college or institute etc.

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

The logic followed here is:

Necklace : Gold → Gold is needed to make a necklace

Similarly,

Paper : Wood pulp → Wood pulp is needed to make paper.

Hence, ‘Paper : Wood pulp’ is the correct answer.

According to the BODMAS rule:

  

Option 1 : ÷ and ×

Given:

39 ÷ 3 × 13 + 26 – 13 = 2

After interchange the signs;

39 × 3 ÷ 13 + 26 – 13 = 2

By BODMAS rule

9 + 26 – 13 = 2

35 – 13 = 2

22 ≠ 2 (LHS ≠ RHS)

Option 2 : ÷ and –

Given:

39 ÷ 3 × 13 + 26 – 13 = 2

After interchange the signs;

39 - 3 × 13 + 26 ÷ 13 = 2

By BODMAS rule

39 - 3 × 13 + 2 = 2

39 – 39 + 2 = 2

41 - 39 = 2

2 = 2 (LHS = RHS)

Option 3 : × and –

Given:

39 ÷ 3 × 13 + 26 – 13 = 2

After interchange the signs;

39 ÷ 3 - 13 + 26 × 13 = 2

By BODMAS rule

13 - 13 + 26 × 13 = 2

13 - 13 + 338 = 2

13 - 13 + 338 = 2

351 - 13 = 2

338 ≠ 2 (LHS **≠ **RHS)

Option 4 : + and –

Given:

39 ÷ 3 × 13 + 26 – 13 = 2

After interchange the signs;

39 ÷ 3 × 13 - 26 + 13 = 2

By BODMAS rule

13 × 13 - 26 + 13 = 2

169 - 26 + 13 = 2

182 - 26 = 2

156 ≠ 2 (LHS ≠ RHS)

Hence, the answer is “÷ and –”.

The logic followed here is:

Given:

‘Bracelet’ is related to ‘Ornaments’ → Bracelet is the type of ornaments.

Similarly,

‘Clove’ is related to ‘Spices’→ Clove is the type of spices.

Hence, ‘Spices’ is the correct answer.

Given:

1) ₹481 is distributed among A, B and C

=> A + B + C = 481

2) B gets two-thirds of what A gets.

=> B = 2/3 A

=> B : A = 2 : 3

=> A : B = 3 : 2 = 6 : 4

3) C gets three-fourths of what B gets.

=> C = 3/4 B

=> C : B = 3 : 4

=> B : C = 4 : 3

Now, A : B : C = 6 : 4 : 3  

SO, A = 6x; B = 4x; C = 3x (where x is the common factor of ratio)

From equation 1

=> A + B + C = 481

=> 6x + 4x + 3x = 481

=> 13x = 481

=> x = 37

We know that B = 4x = 4 × 37 = 148

Hence, “148” is the correct answer.

The pattern followed here is:

Hence, '469' is the correct answer.

The shaded part represents is the number of school teachers are either graduates or married person but NOT both .

The number of school teachers are either graduates or married person but NOT both  = 15 + 7 = 22

Hence, ‘22’ is the correct answer.

Logic: If two dice have the same face value in the given image then their clockwise or anticlockwise wise number are known as opposite numbers in dice.

Given,

  

In first dice and second dice.

Number '1' is common.

The left letter will be opposite to each other writing them clockwise starting from 1.

 

Hence, the face opposite to the 6 is “3”.

The logic here is,

NEED : OGHH

Similarly,

FAST : ?

Hence, "GCVX" is correct answer.

The embedded part of this image is:

Hence, option (2) is the correct answer.

The table is alphabets place value:

The pattern followed here is:

SAUCE is written as ASVEC

Similarly,

Hence, 'MEANT' is coded as "EMBTN".

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

1. First position small figure shifts to the last position and flip vertical.

2. Second position small figure shifts to the first position and flip horizontal.

3. Last position small figure shifts to the second position.

Hence, ‘option 3’ is the correct answer.

Given:

Speed of the boat = 14kmph

Flow of the river = 2 kmph

Ravi takes 3 hours to cover a certain distance upstream

Concept used:

Distance = Time × Speed

While going upstream, the speed of a boat and the flow of the river get added to calculate the effective speed. On the other hand, while going downstream, to take the effective speed, the difference between the speed of the boat and the flow of the river is considered. 

Calculation:

Effective speed during the upstream journey = (14 - 2) kmph = 12kmph

Distance covered = 12 × 3 = 36 hours

Effective speed during the downstream journey = (14 + 2) kmph = 16kmph

So, time taken by Ravi to cover 36 km downstream = 36 ÷ 16 = 2.25 hours = 2 hours 15 minutes

∴ Ravi will take 2 hours 15 minutes to cover the same distance downstream.

Production in 2015 & 2017 = (600 + 750) tonnes = 1350 tonnes 

Sales in 2016 & 2018 = (525 + 400) tonnes = 925 tonnes

So, more = (1350 - 925) = 425 tonnes

∴ 425 Tonnes is the production in 2015 and 2017 taken together than the sales in 2016 and 2018 taken together.

Given:

Geeta can assemble a toy in 10 minutes.

Sudha can assemble the same toy in 15 minutes.

Concept used:

Entire work = Work done in each minute × Time taken (in minutes)

Calculation:

LCM (10,15) = 30

Let the entire work (making a toy) be the LCM of the time taken by Geeta & Sudha.

So, the entire work =  30 units

Geeta does in a minute = 30 ÷ 10 = 3 units of work

Sudha does in a minute = 30 ÷ 15 = 2 units of work

Time taken to finish the entire work together = 30 ÷ (3 + 2) = 6 minutes 

So, time taken to make 60 toys together = 6 × 60 = 360 minutes = 6 hours

∴ If they work together, they will take 6 hours to assemble 60 toys.

Shortcut Trick

Apply the standard algebraic identity: (x + y + z)(x² + y² + z² − xy − yz − zx) = x³ + y³ + z³ − 3xyz.

Identify the terms: x = 2a, y = −b, and z = −3c.

Substitute into the result: (2a)³ + (−b)³ + (−3c)³ − 3(2a)(−b)(−3c).

Simplified result: 8a³ − b³ − 27c³ − 18abc.

∴ The correct answer is 8a³ − b³ − 27c³ − 18abc.

Alternate Method

Given: The expression is (2a − b − 3c)(4a² + b² + 9c² + 2ab + 6ac − 3bc).

Formula Used: (x + y + z)(x² + y² + z² − xy − yz − zx) = x³ + y³ + z³ − 3xyz.

⇒ Let x = 2a, y = −b, and z = −3c.

⇒ Check the second bracket terms:

⇒ x² = (2a)² = 4a², y² = (−b)² = b², z² = (−3c)² = 9c².

⇒ −xy = −(2a)(−b) = 2ab, −yz = −(−b)(−3c) = −3bc, −zx = −(−3c)(2a) = 6ac.

⇒ The given expression perfectly matches the identity expansion.

⇒ Result = (2a)³ + (−b)³ + (−3c)³ − 3(2a)(−b)(−3c)

⇒ Result = 8a³ − b³ − 27c³ − 18abc.

∴ The correct answer is 8a³ − b³ − 27c³ − 18abc.

Additional Information

Sum of Cubes Identity

The expression x³ + y³ + z³ − 3xyz is equal to (x + y + z)(x² + y² + z² − xy − yz − zx).

Special Case (Conditional Identity)

If the sum of variables x + y + z = 0, then the sum of their cubes x³ + y³ + z³ is exactly equal to 3xyz.

Square of a Trinomial

The square of three terms is given by (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx.

Given:​​

$\frac{3}{5}+2\frac{2}{5} ÷ \left[\left(\frac{7}{8}-\frac{3}{4}\right)× 4 - 6 \frac{2}{3} ÷ \frac{4}{3} \right]× \frac{1}{3}$

Concept used:

Calculation:

$\frac{3}{5}+2\frac{2}{5} ÷ \left[\left(\frac{7}{8}-\frac{3}{4}\right)× 4 - 6 \frac{2}{3} ÷ \frac{4}{3} \right]× \frac{1}{3}$

⇒ 3/5 + 12/5 ÷ [1/8 × 4 - 20/3 ÷ 4/3] × 1/3

⇒ 3/5 + 12/5 ÷ [1/8 × 4 - 5] × 1/3

⇒ 3/5 + 12/5 ÷ (-9/2) × 1/3

⇒ 3/5 - 8/15 × 1/3

⇒ 19/45

∴ The required value of $\frac{3}{5}+2\frac{2}{5} ÷ \left[\left(\frac{7}{8}-\frac{3}{4}\right)× 4 - 6 \frac{2}{3} ÷ \frac{4}{3} \right]× \frac{1}{3}$ is 19/45.

The total production of green tea in 2016 and 2018 = (100 + 80) M = 180M

The total production of herbal tea in 2015 and 2017 = (100 + 120)M = 220M

% = 180/220 × 100% = 81.8%

∴ The total production of green tea in 2016 and 2018 is 81.8% of the total production of herbal tea in 2015 and 2017.

Given:

Joseph bought two woolen jackets for Rs. 2,100 and Rs. 3,150, respectively.

By selling the first at a gain of k% and the second at a loss of k%.

The selling price of both is the same.

Concept used:

Selling price = Cost price (1 + profit percentage/100)

Selling price = Cost price (1 - loss percentage/100)

Calculation:

According to the question,

2100 (1 + k/100) = 3150 (1 - k/100)

⇒ (1 + k/100)/(1 - k/100) = 3/2

⇒ (100 + k)/(100 - k) = 3/2

⇒ 200 + 2k = 300 - 3k

⇒  5k = 100

⇒ k = 20

∴ The value of k is 20.

Given:

Two chords PQ and RS of a circle meet at A when produced. AT is a tangent to the circle meeting it at T.

Concept used:

Here, PA & PC are two secants and PT is a tangent at point T on the circle. 

So, we know,

PA × PB =  PC × PD = (PT)2

Calculation:

Here, PQ, RS are secants and RT is a tangent.

So, we know,

PA × AQ = SA × RA

⇒ PA : SA = RA : QA

∴ The ratio PA : SA is equal to RA : QA.

Given:

A sum of money lent at simple interest amounts to Rs. 9,920 after 2 years and to Rs. 12,800 after 5 years. 

Concept used:

Simple Interest, SI = (P × R × T) ÷ 100

where

P = Principal amount

R = Rate of interest per year

T = Time in years

Calculation:

Let the Principal amount be P and rate of Interest be R%.

According to the question,

P + 2PR/100 = 9920      ....(1)

P + 5PR/100 = 12800....(2)

So, PR/100 = 960

Now, 

P + 2PR/100 = 9920

⇒ P = 8000

PR/100 = 960

8000R = 96000

⇒ R = 96000/8000

⇒ R = 12%

∴ The rate of interest is 12%.

Given:

20% reduction results to 6 kg more sugar.

Concept used:

Application of percentage

Calculation:

Let the previous price of the sugar be Rs. P for the certain amount R kg.

Now, previously (R + 6) kg could have been acquired at = 960 ÷ 0.8 = Rs. 1200

So, Rs. (1200 - 960) = Rs. 240 results to 6 kg.

Hence, previous price of sugar = 240 ÷ 6 = Rs. 40 per kg

So, at Rs. 960, One could get = 960 ÷ 40 = 24kg sugar

Now, recent price of sugar = 960 ÷ (24 + 6) = Rs. 32

∴ The reduced rate of sugar is Rs. 32 per kg.

Shortcut Trick 

Quantity is increased in such way that the expenditure remains same.

∴ If, Old Quantity = 4x, then New Quantity = 5x

So,

Increase in Quantity = 5x - 6x = x

According to Question,

⇒ x = 6kg.

⇒ Old Quantity = 4x = 4 × 6 = 24kg

⇒ New Quantity = 5x = 5 × 6 = 30kg

∴ New rate per kg = Rs. 960/30kg = Rs. 32/kg

Given: 

a + b - c = 0

Calculation:

$\frac{(b-c)^2}{4bc}\times\frac{(c-a)^2}{4ca}\times\frac{(a+b)^2}{4ab}?$

b - c = -a, c - a = b, a + b = c

Put the value in the above equation

⇒ {(-a)²/4bc)} × (b²/4ca) × (c²/4ab)

⇒ (a²b²c²/64a2b2c2)

⇒ 1/64

∴ The value of $\frac{(b-c)^2}{4bc}\times\frac{(c-a)^2}{4ca}\times\frac{(a+b)^2}{4ab}?$ is (1/64).

Given:

cosec2 θ (cos θ - 1)(1 + cos θ) = k

Concept used:

Cosec α = 1/Sin α

Sin² α + Cos² α = 1

(a + b)(a - b) = a² - b² 

Calculation:

cosec2 θ (cos θ - 1)(1 + cos θ) = k

⇒ cosec2 θ (1 - cos θ)(1 + cos θ) = -k

⇒ cosec2 θ (1 - cos² θ) = -k

⇒ cosec2 θ × sin² θ = -k

⇒ 1 = -k

⇒ k = -1

∴ The value of k is (-1).

Given: 

D, E, and F are the feet of the perpendiculars from the vertices A, B, and C, respectively, of a triangle ABC.

∠BED and ∠BFE (in degrees) are 24 and 110

Concept used:

The angle subtended by a chord of a circle at its centre is equal to the angle subtended by the corresponding (minor) arc at the centre.

The sum of all angles in a triangle is always 180°

Calculation:

Here we have to do construction:

Draw a circle of diameter AB which passes through D as ∠ADB = 90° 

Draw another circle of diameter BC which passes through E as ∠BEC = 90° 

Taking BC as the diameter, we draw a circle. 

Here, ∠BEC is a subtended angle on circumference from the diameter which is 90°.

Now, considering EC a chord, ∠EBC = ∠EFC = 20°

Now, taking AB as the diameter, we draw a circle.

Here, ∠AEB is a subtended angle on circumference from the diameter which is 90°.

Now, considering BD a chord, ∠BED = ∠BAD = 24°

So, in ΔABD,

∠BAD + ∠ADB + ∠ABD = 180°

⇒ 24° + 90° + ∠ABE + ∠EBD = 180°

⇒ 24° + 90° + ∠ABE + 20° = 180°

⇒ ∠ABE = 46°

⇒ ∠EBF = 46°

∴ The measure of ∠EBF is 46°.

Given:

The average weight of 3 persons A, B, and C is 60 kg.

When D joins the group, the average weight becomes 65 kg.

E whose weight is 3 kg less than that of D replaces A, the average weight of B, C, D, and E becomes 67 kg.

Concept used:

Total = Average × Number of entities

Calculation:

So, the weight of D  = (65 × 4) - (60 × 3) = 80kg

Then, the weight of E = 80 - 3 = 77kg

According to the question,

77 + (60 × 3 - A) + 80 = 67 × 4

⇒ A = 69

∴ The weight of A  is 69kg.

Given:

$\frac{\tan^2 60^{\circ}+ cosec: 30^{\circ}\sin 90^{\circ}+3 \sec^230^{\circ}}{4 \sin^2 45^{\circ}+ \sec^2 60^{\circ} - \cot^2 30^{\circ}-5 \cos^290^{\circ}}$

Concept used:

Calculation:

$\frac{\tan^2 60^{\circ}+ cosec: 30^{\circ}\sin 90^{\circ}+3 \sec^230^{\circ}}{4 \sin^2 45^{\circ}+ \sec^2 60^{\circ} - \cot^2 30^{\circ}-5 \cos^290^{\circ}}$

⇒ (3 + 2 × 1 + 3 × (4/3))/(4 × (1/2) + 4 - 3 - 5 × 0)

⇒ 9/3

⇒ 3

∴ The required value of $\frac{\tan^2 60^{\circ}+ cosec: 30^{\circ}\sin 90^{\circ}+3 \sec^230^{\circ}}{4 \sin^2 45^{\circ}+ \sec^2 60^{\circ} - \cot^2 30^{\circ}-5 \cos^290^{\circ}}$ is 3.

Percentage change in production from 2015 to 2016 = (628 - 600)/600 × 100% = 4.67%

Percentage change in production from 2016 to 2017 = (750 - 628)/628 × 100% = 19.42%

Percentage change in production from 2017 to 2018 = (750 - 500)/750 × 100% = 33.33%

Percentage change in production from 2018 to 2019 = (570 - 500)/500 × 100% = 14%

∴ 33.33% is the percentage of maximum increase or reduction in the production of the company in comparison to the previous year.

Given:

PA and PB are tangents drawn to a circle with centre O from an external point P.

A and B are points on the circle

∠OBA = 42°

Concept used:

The radius of a circle is perpendicular to the tangent line through its endpoint on the circle's circumference.

The sum of all angles of a triangle is 180°.

Calculation:

Here, OB and OA are the radii of the circle. 

So, ΔAOB is an isosceles triangle.

Hence, ∠OBA = ∠OAB = 42°

So, ∠AOB = 180° - (42° × 2) = 96°

Here, ∠AOB & ∠PAB are complementary angles.

Now, ∠PAB = 180° - ∠AOB = 180° - 96° = 84°

∴ The measure of ∠APB is 84°.

Given:

A pair of jeans marked at Rs. 960 is offered in a departmental store for Rs. 816.

Concept used:

Discount =  Marked Price - Selling Price

Calculation:

Discount given = (960 - 816) = 144

So, discount % = 144/960 × 100% = 15%

∴ The percentage of discount given by the shopkeeper is 15%.

The average production of flavour A in 2012, 2013 and 2014 = (50 + 45 + 75) ÷ 3 = (170/3) lakh bottles

The average production of flavour C in 2012, 2013 and 2014 = (65 + 70 + 80) ÷ 3 = (215/3) lakh bottles

So, the difference = (215 - 170)/3 = 15 lakh bottles

∴ The difference between the average production of flavour A in 2012, 2013 and 2014 and the average production of flavour C in 2012, 2013 and 2014 is 15 lakh bottles.

Given:

In ΔPQR, points T and S are on PQ and PR, respectively, such that TS is parallel to QR.

TQ = 7.2 cm, PS = 1.8 cm and SR = 5.4 cm

Concept used:

Similarity of two triangles

Calculation:

Since TS ∥ QR, ΔPTS & ΔPQR are similar triangles.

Then,

PT/TQ = PS/SR

⇒ PT = (PS/SR) × TQ

⇒ PT = (1.8/5.4) × 7.2

⇒ PT = 2.4

∴ The length of PT is 2.4 cm.

Given:

a : b = 5 : 7, b : c = 8 : 15

Concept used:

Ratio proportion

Calculation:

a : b = 5 : 7 = 40 : 56

b : c = 8 : 15 = 56 : 105

So,  a : b : c = 40 : 56 : 105

Let K be the common ratio.

Then,

a = 40K

b = 56K

c = 105K

So,

8c : 5a

⇒ 8 × 105K : 5 × 40K

⇒ 21 : 5

∴ The value of 8c : 5a is 21 : 5.

Shortcut Trick

For a number to be divisible by 6, it must be divisible by both 2 and 3.

Divisibility by 2: The last digit k must be even (0, 2, 4, 6, 8).

Divisibility by 3: Sum of digits (3 + 4 + k + 5 + 6 + k) = 18 + 2k must be divisible by 3.

Check largest even k = 8: 18 + 2(8) = 34 (Not divisible by 3).

Check next largest even k = 6: 18 + 2(6) = 30 (Divisible by 3).

∴ The correct answer is 6.

Alternate Method

Given: The number is 34k56k and it is divisible by 6.

Formula Used: Divisibility rule of 6 = Divisibility by 2 × Divisibility by 3.

⇒ For divisibility by 2, k ∈ {0, 2, 4, 6, 8}.

⇒ For divisibility by 3, Sum = 3 + 4 + k + 5 + 6 + k = 18 + 2k.

⇒ Since 18 is already divisible by 3, 2k must be divisible by 3.

⇒ Possible values for k to make 2k divisible by 3 are {0, 3, 6, 9}.

⇒ Common values satisfying both conditions: k ∈ {0, 6}.

⇒ The largest value of k is 6.

∴ The correct answer is 6.

Additional Information

Divisibility by 3

A number is divisible by 3 if the sum of its digits is divisible by 3.

Divisibility by 4

A number is divisible by 4 if the last two digits are divisible by 4 or are both zero.

Divisibility by 9

A number is divisible by 9 if the sum of its digits is divisible by 9.

Given:

x - y = 4

xy = 3

Concept used:

x³ - y³ = (x - y) (x² + xy + y²)

(x - y)² = x² - 2xy + y²

Calculation:

x - y = 4

⇒ x² - 2xy + y² = 16

⇒ x2 + xy + y2 = 16 + (3 × 3)

⇒ x2 + xy + y2 = 25

⇒ (x - y) (x2 + xy + y2) = 25 × 4

⇒ (x - y) (x2 + xy + y2) = 100

⇒ x³ - y³ = 100

∴ The value of x3 - y3 is 100.

Shortcut Trick⇒ If, x - y = k, then x³ - y³ = k³ + 3k × xy.

∴ x³ - y³ = (4)³ + 3 × 4 × 3 = 64 + 36 = 100.

Given:

In a triangle ABC, right-angled at C, if $\sec A =\frac{13}{5}$,

Concept used:

Cosθ = 1/Secθ

Cosθ = Base/Hypotenuse 

Sinθ = Perpendicular/Hypotenuse 

Pythagorean triplet 

Calculation:

Here,

SecA = 13/5

⇒ AB/AC = 13/5

So, let AB = 13k and AC = 5k, considering k as their common ratio.

So, BC = ${ \sqrt{(13k)^2 - (5k)^2} }$ = 12k

Now,

SinA = BC/AB = 12/13

Cos B = 12/13

So,

$\frac{1+ \sin A}{\cos B}.$

⇒ (1 + 12/13)/(12/13)

⇒ 25/12

∴ The value of $\frac{1+ \sin A}{\cos B}$ is 25/12.

Shortcut Trick

Total area of the park = 60 × 40 = 2400 m²

Area of two flower beds = 2 × (22/7) × 7 × 7 = 308 m²

Remaining area = 2400 − 308 = 2092 m²

∴ The correct answer is 2092 m².

Alternate Method

Given:

Length of the park (L) = 60 m

Breadth of the park (B) = 40 m

Radius of each flower bed (r) = 7 m

Formula Used:

Area of rectangle = Length × Breadth

Area of circle = πr²

Remaining Area = Total Area − (2 × Area of circular bed)

60 m 40 m r = 7 m r = 7 m Remaining Area = Park − 2 × Circle

Calculations:

⇒ Area of rectangular park = 60 × 40 = 2400 m²

⇒ Area of one circular flower bed = (22/7) × 7 × 7

⇒ Area of one circular flower bed = 22 × 7 = 154 m²

⇒ Total area of two circular beds = 2 × 154 = 308 m²

⇒ Area of remaining portion = 2400 − 308 = 2092 m²

∴ The correct answer is 2092 m².

Additional Information

Area and Perimeter of a Rectangle

Area = Length × Breadth and Perimeter = 2 × (Length + Breadth).

Area and Circumference of a Circle

Area = πr² and Circumference = 2πr, where r is the radius.

Diagonal of a Rectangle

Diagonal = √(L² + B²), derived from the Pythagoras theorem.

The correct answer is Gelatin.

Key Points

• Fining is a winemaking process that aims to clarify and stabilize the wine.
• A fining agent is a range of special materials added to the juice that enables the process of fining.
• Because of fining, the wine is less likely to become hazy or cloudy after bottling and therefore more visually appealing.
• Fining also removes hydrogen sulfide and bitter flavors.
• The most common time a fining agent is added to wine is right after the fermentation has ended or a few days before bottling.
• Some common Fining Agents are- 
• Gelatine
• Isinglass
• Egg white (egg albumen)
• Casein
• Skim milk
• Bentonite
• Carbon

The correct answer is Vitamin A.

Key Points

• Night blindness is the inability to see well at night or in poor lighting conditions.
• Night blindness is also called nyctalopia.
• Night blindness is often caused by Vitamin A deficiency.
• Night blindness is also caused by nearsightedness or cataracts.
• Foods that provide Vitamin A are carrots, sweet potatoes, eggs, milk, milk products, etc.

Additional Information

The correct answer is 68th.

Key Points

• India was ranked at 68th position in the World Economic Forum’s Global Competitiveness Index, 2019.
• In the overall competitiveness ranking, Singapore replaced the US to take the first position.
• In South Asia, India is followed by Sri Lanka (84), Bangladesh (105), Nepal (108), and Pakistan (110).
• Countries like Colombia (57), Azerbaijan (58), South Africa (60), and Turkey (61) surpassed India in this year’s survey.

Additional Information

• India's rank in important indices (2021)-