SSC CHSL Tier-1 2021: Official Paper (Held On : 3 June 2022 Shift 3) (Previous Year Paper)

The correct answer is "Look unhappy or disappointed".

Key Points

• Long faces make people appear unpleasant or serious.
• Example: Mohini came to me with a very long face .
• The meaning of "Look unhappy or disappointed" is someone who is looking sad or unpleasant.
• Example: The boy looks unhappy or disappointed.
• Both of the phrases are similar.
• Therefore, the option 1) is the correct solution.

The correct answer is "Curiocity".

Key Points

• Curiosity is the enthusiastic desire to learn about something.
• Example: Lisa's curiosity led her to ask more questions.
• There is no word Curiocity in English.
• Curiocity is spelt incorrectly among the given options.

The correct answer is "Theist".

Key Points

• The question is asking for someone who believes in god or gods.
• Theists hold that there is/are a god or gods.
• Example: John was a theist.
• Both the meanings are the same.
• So the correct option is 3).

Additional InformationLet's see the others' meaning.

• A linguist is a person who is skilled in languages.
• Example: Ram was an accomplished linguist.
• Atheist refers to a person who does not believe in the existence of any gods.
• Example: I am an atheist.
• Leftist refers to a person with left-leaning political opinions.
• Example: We are looking for something to distinguish them from other leftists.
• Therefore, these three options are not matching with the given question.

The correct answer is "imprudance".

Key Points

• The word "imprudance" is wrong among the given sentence.
• The word should be imprudence not imprudance.
• Imprudence is a lack of judgment or diligence in handling practical or financial matters.
• Therefore, "imprudance" is a word which is spelt incorrectly.
• The other given options are grammatically correct.

The correct solution is "Terrible".

Key Points

• Marvellous refers to something that is very good.
• Example: Ayan has done a marvellous job
• The opposing word to Marvellous should serve as the antonym.
• Terrible denotes which is extremely bad.
• Example: The service of the restaurant is terrible.
• Therefore, the opposite word of marvellous is terrible.​​

​ 

Additional Information

• Adverse refers to impeding achievement or growth.
• Example: The match was canceled because of adverse weather.
• Tolerable refers to something that can be tolerated or borne.
• Example: The heast was not tolerable .
• Mythical refers to something that only exists in the mind.
• Example: Raavan was a mythical hero.

The correct solution is "Cartographer".

Key Points

• Someone who creates maps is referred to as a cartographer according to the Oxford Dictionary of English app.
• Example: Sujan is quite passionate about becoming a cartographer.
• The underlined words are asking for the person who draws maps.
• Therefore, the correct option is 3) .

The correct sentence is- It is better to contact a cartographer to get help in your research project.

Additional Information

• Calligraphist: one who practices the art of calligraphy(producing beautiful writing, often with a special pen or brush)
• Example: He was also a prolific writer and a calligrapher.
• Psephologist: someone who studies elections and voting statistics
• Example: The psephologists tell us that the larger the constituency the larger the swing.
• Lexicographer: a person whose job is to write dictionaries 
• Example: Ranjan works as a translator and lexicographer.

The correct answer is "b, a, c, d" .

Key Points

• Each sentence in a cohesive paragraph clearly connects to the main sentence or guiding idea, but coherence goes beyond this. When a paragraph is coherent, there are no jarring shifts or jumps between any of the sentences.
• Here the first sentence should be "Noise pollution is the result of aircraft and heavy traffic".
• If we go more we should say further . The first sentence presents the cause of noise pollution.
• The last two sentences are the next sequences of noise pollution which are the results of noise pollution.
• Therefore, Option 4) is the appropriate answer.

The correct answer is "best".

Key Points

• There is a use of "the" before the underlined adjective.
• The superlative degree of a verb should be used after the article "the".
• When describing something that is at the upper or lower extent of quality, superlative adjectives are utilized (the tallest, the smallest, the fastest, the highest).
• The sentence structure will be Noun (subject) + verb + the + superlative adjective + noun (object).

So the correct sentence will be Danny is the best basketball player in the team.

Additional Information

• Good is the positive degree but it does not use after "the".
• Most is an adverb and also a superlative degree of "more" which is an adverb. This will not be making sense before basketball.
• Gooder is the comparative degree of the verb "good".

The correct answer is "principles".

Key Points

• A core idea or principle that forms the basis of a way of thinking, behaving, or behaving in a certain way.
• According to the sentence, two principles are justice and impartiality.
• Justice and impartiality serve as the judge's guiding principles.

The correct sentence is Two principles control the judge’s decision: justice and impartiality.

The correct answer is "As a rule, single sentences should not be written or printed as paragraphs."

Key Points

• Should is a phrasal verb that denotes if something is right or best to do, or whether someone must or ought to do something.
• According to the English grammar, the past participle form of the verb must be used after "should be".
• The past participle form of "write" is "written".

So the correct sentence will be As a rule, single sentences should not be written or printed as paragraphs.

The correct answer is "Gratifying".

Key Points

• Giving a sense of satisfaction or happiness is the definition of pleasing.
• Example: He has done a pleasing performance.
• Gratifying refers to something that makes you feel good since it gives you what you need or want.
• Example: France got a gratifying victory.
• Consequently, the two words have the same meaning.

Additional Information

• Let's see the meaning of other words.
• Festive refers to the state of being joyful and delightful in line with a festival or other special occasion.
• Mourning is feeling regret for something.
• To sag is to droop, sink, or settle under pressure or as if there were no tension.

The correct answer is "Apathetic".

Key Points

• The adjective ardent denotes a high level of fervor, dedication, or enthusiasm.
• Example: Riya has never seen such an ardent pacifist as Joy.
• Apathy is the absence of passion, interest, or care. The emotionless person is called apathetic.
• Example: Some Americans are apathetic.
• The definitions of ardent and apathetic are mutually exclusive.

Additional Information 

Let's see the other words.

• To be admirable means to merit admiration or respect.
• Being beautiful refers to having an appealing quality that makes people happy when they see it or think about it.
• Sincerity is the absence of pretense or deception.

The correct answer is "turn up their nose".

Key Points

• "Turn their face" means to change their personality from a villain to a hero. 
• Example: Ron turned his face to get the job.
• "Turn up their nose" means refuse something because it is not good for you. 
• Example: Annie turned up her nose when she was asked to take engineering.
• Therefore, the appropriate option that would substitute "turn up their face" is "turn up their nose".

Additional Information

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

The correct answer is "All the panel members have been invited for the monthly meeting."

Key Points

• The given question has been started with the plural form of the "panel members".
• If the subject is a plural noun or plural pronoun, use have.
• So the third option is the correct one.

The correct sentence is All the panel members have been invited for the monthly meeting.

The correct answer is "introvert".

Key Points

• One-word replacements are used to simplify complex sentences by replacing them with a single word. With the phrase replaced, the meaning is unchanged, but the sentence is now shorter.
• An introvert is a person who possesses traits associated with the introverted personality type, meaning they prefer to pay attention to their own inner thoughts and ideas as opposed to what is happening around them.
• Example: Ram is an introvert person.
• The introvert has the same meaning as the given question.

Additional InformationLet's check the meanings of the other words.

• A person who is an egoist is one who is focused with their own interests.
• Extraverted characteristics include being talkative, active, forceful, and outgoing.
• A guy who has dedicated his life to religion typically gives up some aspects of daily life in the process and is called a monk.
• These words are not matching with the given question.

The correct answer is "An advantageous situation from two different things at a time".

Key Points

• The most appropriate meaning of the given idiom is "An advantageous situation from two different things at a time".
• The best of all worlds: When all the benefits of two separate circumstances outweigh any drawbacks.
• Example: Ram got the best of both worlds in one car.
• According to the meaning, the third option is correct.

Additional Information Let's check the other idioms

The correct answer is "Nobody is trusted by him".

Key Points

• The given sentence is in a negative and active voice. and it needs to be changed to passive voice.
• The passive voice is used to express interest in the subject of an action rather than the subject or object that actually performs it.
• The rule for structuring the sentence of passive voice is :
• The object will be changed into the subject.
• "Does not" will be changed into "is".
• And the main verb will be used in past participle form.
• Here the object is "anybody".But as it is in negative form, we should use nobody as the subject of passive voice and the verb will be in past participle form.

So the answer will be Nobody is trusted by him.

Additional Information

• Let's see another example of passive voice.
• You have an active voice when the actor (and the actor can be a person or an object) appears before the action in a sentence.
• The passive voice is used to express interest in the subject of an action rather than the subject or object that actually performs it.
• Example: I took the pen. (Active voice)
• The pen was taken by me. (Passive voice)

The correct answer is "There are many magnificent churches in Goa."

Key Points

• The common word is "magnificent" in all the given sentences.
• Magnificent denotes a size that is stunning and proportionate to scale without compromising decency or aesthetic taste.
• According to english grammar, the correct word is "magnificent" which is correct only in the second option.
• The remaining sentences' spellings of "magnificent" are wrong.

Therefore, option two is correct.

The correct answer is "Hinder".

Key Points

• To stymie is to stop someone or something from happening or from accomplishing a goal.
• Example: Bad weather stymied the cricket match.
• Hinder implies to restrict someone's capacity for action.
• Example: It's unclear if the adjustment will benefit or hinder our project.
• According to their meaning, the above two words are identical.

Additional Information

• When an animal is born in the wild, taming refers to the process of conditioning its behaviour so that it no longer naturally avoids humans and instead accepts their presence.
• To be deeply surprised or astounded is to amaze.
• To be terrified, especially suddenly, is to be scared .

The correct answer is "to fought bravely to the last".

Key Points

• In the given question, all parts are correct without the verb "fought".
• A verb must be in the to + infinitive form when wish, learn, and offer are followed by another verb.
• The correct form of the verb should be fight.

The final sentence should be "Though you may not be able to conquer, I exhort you to fight bravely to the last."

The correct answer is "various".

Key Points

• Various refers to something that is two or more of a distinct kind.
• Here the speaker is talking about the different type of unethical acts.
• According to the sentence, Over the past ten years, numerous supermarket chains have faced criticism for alleged unethical behaviour.

The correct sentence is Many of the major supermarket chains have come under fire with accusations of various unethical acts over the past decade.

The correct answer is "starting".

Key Points

• In the given sentence, there are two subjects that are supermarkets and grocers.
• The verb "be" and the verb "-ing" form combine to generate the continuous tense.
• We can see there is "are" as a verb in the sentence.
• So the present continuous form of verb should be used after "are".

The final sentence will be But supermarkets and grocers are starting to sit up and take notice.

The correct answer is "growing".

Key Points

• Growing means becoming greater in quantity or size.
• Example: The bushes are growing quickly.
• Therefore, the appropriate option is "Growing".

Additional Information

• Believing - having faith in something.
• Example: Rose is still believing in angels.
• Enlarging - becoming big.
• Example: This toy is enlarging itself when put in water.
• Developing - becoming better. 
• Example: The city is developing for good.

The correct answer is "signed".

Key Points

• Signed is the past and the past participle form of the verb "sign".
• In the given sentence, the auxiliary verb is "have" and we have to use the past participle form of verb after "have".
• The sentence structure will be have+verb(past participle).

The final sentence is some of the largest UK supermarkets have signed up a pact promising to transform packaging and cut plastic wastage.

The correct answer is "some'.

Key Points

• "Some" means a minimum amount of. 
• Example: I had some beans for dinner.
• Therefore, the appropriate answer is "some".

Additional Information

• Little -  small.
• Example: The little girl looks pretty in her frock.
• Every - all
• Example: Every student was asked to follow the rules.
• Any - an unspecified person or object.
• Example: Do you have any colour pens?

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

The logic here is: Take out the square root of each of the 1^st term and then the answer is added by 3 to get the final answer.

So, 

1) $\sqrt{25}$ = 5 + 3 = 8, 

2) $\sqrt{169}$ = 13 + 3 = 16, 

3) $\sqrt{225}$ = 15 + 3 = 18 $\ne$ 12, as we are given in the option. This is the odd one out.

4) $\sqrt{64}$ = 8 + 3 = 11

Hence, the correct answer is 225 : 12.

Here, we have some statements and need to see which conclusion are correct or not.

So, for a given statement: Private school teachers are hard-working.

Thus, for the given conclusion, we have:

1) Some hard-working teachers are private school teachers: This is true as it is given in the statement that the private school teachers are hardworking.

2. Government employees are not hard-working: This is not true, as nothing about the government employee is mentioned in the statement.

Hence, only conclusion 1 follows.

Here, we have some statements and using that we need to solve.

According to the given statements as below:

1. W scored more than X but less than V. 

$\Rightarrow$ X < W < V  

2. T scored more than U but less than S.

$\Rightarrow$ U < T < S

3. Y scored the least among all.

$\Rightarrow$ Y < X

4) Only three people scored more than V.

$\Rightarrow$ V < three people

$\Rightarrow$ V < U < T < S

Thus, combining all the given statements, we will get,

$\Rightarrow$ Y < X < W < V < U < T < S

so, only 3 persons scored between T and X.

Hence, the correct option is 3.

Here, the alphabets and their positions are shown as below:

The logic follows here is: Each letter is added by one and every two letters interchange their positions in code language.

For, the word PLURAL:

For, the word SINGLE:

Thus, for the word DOUBLE:

 

Hence, the correct answer is PECVFM

Confusion Point: Keep in mind the positions of all the letters.

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

The logic here is: Each odd term is multiplied by 3 and then the answer is subtracted by 3 to get the final answer.

For 17 : 48, we have,

For 23 : 66, we have,

Similarly for 15 : ?

Hence, the missing number is 42.

Given equation: 2 * 5 * 5 * 10 * 5.

BODMAS Table: 

Let's check each option one by one.

Option 1) =, ×, ×, –

Given: 2 * 5 * 5 * 10 * 5

After replacing the * signs we get;

⇒ 2 = 5 × 5 × 10 - 5

⇒ 2 = 250 - 5

⇒ 2 ≠ 245

⇒ LHS ≠ RHS

Option 2) ×, –, =, –

Given: 2 * 5 * 5 * 10 * 5

After replacing the * signs we get;

⇒ 2 × 5 - 5 = 10 - 5

⇒ 10 - 5 = 5

⇒ 5 = 5

⇒ LHS = RHS

Option 3) =, +, +, ×

Given: 2 * 5 * 5 * 10 * 5

After replacing the * signs we get;

⇒ 2 = 5 + 5 + 10 × 5

⇒ 2 = 5 + 5 + 50

⇒ 2 ≠ 60

⇒ LHS ≠ RHS

Option 4) ×, ×, ×, =

Given: 2 * 5 * 5 * 10 * 5

After replacing the * signs we get;

⇒ 2 × 5 × 5 × 10 = 5

⇒ 500 ≠ 5

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 2".

Here, the alphabets and their positions are shown as below:

The logic here is: For each word, the odd letters are added by 1 and the even letters are subtracted by 1 to get the code language.

So, for the word REPORT:

And, for the word THANKS:

Thus, for the word WINTER:

Hence, the correct option is 1.

Confusion Point: Keep in mind the positions of all the letters.

Family chart:

According to given statement:

The man in photograph is Rohan's father. 

Hence, 'option 4' is the correct answer.

Here, we are given a image and we need to count total number of triangle.

First we need to count the small triangles:

 

Thus, we have 20 triangles.

Next, we will count big triangles while combing wo or more of them, 

1. combine number 5 and 6, 

2. combine number 10 and 14,

3. combine number 11 and 16,

4. combine number 19 and 20,

So, her we got 4 more triangle.

Thus, total in all = 20 + 4 = 24 triangle.

Hence, the correct answer is 24.

Here, we have a image and find out the total number of triangles.

First we will count the small triangles as:

  

Here, we got total of 14 triangle.

Next, we will combine these small triangles to get big triangles as:

So, here the triangles are: IBK, JCL, EMG, FNH, GOP - a total of 5 triangles.

Thus, a total of 14 + 5 = 19 triangles.

Hence, the correct answer is 19.

The logic followed here is: 

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

In the given figure, B and C are common.

 

So, the number opposite to E is A.

Hence, option 3) is the correct answer.

 

Reference Fig (Wrong)

Here, we are given a equation and we need to check which signs are correct.

Given: 21 * 5 * 61 * 84 * 4 * 8 * 15

First of all we will check all the options one by one as below:

1) −, ÷, +, −, =, ×

$\Rightarrow$ 21 - 5 ÷ 61 + 84 - 4 = 8 × 15

Applying BODMAS rule, we will get,

$\Rightarrow$ 21 - 0.081 + 84 - 4 = 8 × 15

$\Rightarrow$ 21 - 0.081 + 84 - 4 = 120

$\Rightarrow$ 100.91 = 120, which is not possible. This is not true.

2) ×, −, =, ÷, +, +

$\Rightarrow$ 21 × 5 - 61 = 84 ÷ 4 + 8 + 15

Applying BODMAS rule, we will get,

$\Rightarrow$ 21 × 5 - 61 = 21 + 8 +15

$\Rightarrow$ 105 - 61 = 21 + 8 + 15

$\Rightarrow$ 44 = 44, which is possible. This is true.

3) +, −, =, ×, −, ÷

$\Rightarrow$ 21 + 5 - 61 = 84 × 4 - 8 ÷ 15

Applying BODMAS rule, we will get,

$\Rightarrow$ 21 + 5 - 61 = 84 × 4 - 0.53

$\Rightarrow$ 21 + 5 - 61 = 336 - 0.53

$\Rightarrow$ -35 = 335.47, which is not possible. This is not true.

4) +, ×, −, =, +, −

$\Rightarrow$ 21 + 5 × 61 - 84 = 4 + 8 - 15

Applying BODMAS rule, we will get,

$\Rightarrow$ 21 + 305 - 84 = 4 + 8 - 15

$\Rightarrow$ 242 = -3, which is not possible. This is not true.

Hence, the correct option is 2.

Confusion Point: Keep in mind to apply BODMAS rule, while solving these types of problems.

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

The logic here is: Each odd term is multiplied by itself and then this answer is added by 8 to get the final answer.

For 8 : 72,

For 17 : 297,

Similarly we have, ? : 152,

Hence, the missing number is 12.

Here, we have an image and count total number of triangles.

First we will count small triangles as below:

So, we have a 6 triangles.

Next, we will combine small triangles and count them as below:

 

So, here the triangles are: BAD, BAE, BAF, CAE, CAF, DAF, HBE - a total of 7 triangles.

Thus, in all we have 6 + 7 = 13 triangles.

Hence, we have 13 triangles in all.

Here, we have two dices given and having two faces common.

So, we have:

So, we will rotate the 2^nd dice in such a way that, we get the same positions of common faces as in 1^st dice.

Thus, face 1 is opposite to face 4.

Hence, the number '1' will be on the face opposite to the one showing '4'.

Here, the alphabets and their positions are shown as below:

The logic here is: The first two letters and the last two letters of each word interchange their positions in code language. And the middle two words are corresponding letters in the coded language.

For the word SYMBOL : YSNYLO

For the word TALENT : ATOVTN

Similarly for the word MOBILE : ?

Thus, for the word MOBILE we have the code language has OMYREL

 

Hence, the code language is 'OMYREL' for the given word.

 

Confusion Point: Keep in mind the positions of all the letters.

Here, we will check options one by one.

Given: (36 ÷ 4) ×12 + (7 × 6) – 18 + (3 × 9) = 63

1. 6 and 4

$\Rightarrow$ (36 ÷ 6) × 12 + (7 × 4) – 18 + (3 × 9) = 63

Applying BODMAS rule, we will get,

$\Rightarrow$ 6 × 12 + 28 - 18 + 27 = 63

$\Rightarrow$ 72 + 28 - 18 + 27 = 63

$\Rightarrow$ 109 = 63, this is not true

2. 3 and 4

$\Rightarrow$ (36 ÷ 3) × 12 + (7 × 6) – 18 + (4 × 9) = 63

Applying BODMAS rule, we will get,

$\Rightarrow$ 12 × 12 + 42 - 18 + 36 = 63

$\Rightarrow$ 144 + 42 - 18 + 36 = 63

$\Rightarrow$ 204 = 63, this is not true

3. 4 and 12

$\Rightarrow$ (36 ÷ 12) × 4 + (7 × 6) – 18 + (3 × 9) = 63

Applying BODMAS rule, we will get,

$\Rightarrow$ 3 × 4 + 42 - 18 + 27 = 63

$\Rightarrow$ 12 + 42 - 18 + 27 = 63

$\Rightarrow$ 63 = 63, this is true

4. 12 and 3

$\Rightarrow$ (36 ÷ 4) × 3 + (7 × 6) – 18 + (12 × 9) = 63

Applying BODMAS rule, we will get,

$\Rightarrow$ 9 × 3 + 42 - 18 + 108 = 63

$\Rightarrow$ 27 + 42 - 18 + 108 = 63 

$\Rightarrow$ 159 = 63, this is not true

Hence, the correct  answer is '4 and 12' .

Confusion Point: Keep in mind to apply BODMAS rule, while solving these type of problems.

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

The logic here: The 1^st term of each row is multiplied by 4 and then the answer is added by 3 to get the 2^nd term of each row. Again the 2^nd row is multiplied by 3 and the answer is added by 6 to get the 3^rd term of each row.

So, 

1^st row:

12 $\times$ 4 + 3 = 51,  51 $\times$ 3 + 6 = 159

2^nd row:

9 $\times$ 4 + 3 = 39,  39 $\times$ 3 + 6 = 123

Thus, for the 3^rd row:

8 $\times$ 4 + 3 = 35,  35 $\times$ 3 + 6 = 111

Hence, the correct answer  is 111.

Here, we need to find the day from the given day given.

So, in 19^th April 1963 is ordinary year = 1 odd day

And in 1964 is a leap year = 2 odd days.

Again in 1965 is ordinary year = 1 odd day

So, we are given 19^th April 1962 is Thursday then 19^th April 1965 is 1 + 2 + 1 = 4 odd days = Monday.

Next in the year 1965

April = 30 days = 30 - 19 = 11 days left from 19^th April

May = 31 days and June = 15 days

Thus, the total number of days = 11 + 31 + 15 = 57 = 8 weeks = 1 odd day

So, 15^th June 1965 = Monday + 1 = Tuesday

Hence, the correct answer is Tuesday.

Confusion Point: Keep in mind what are leap years and ordinary year and number of odd days they have. Also, check how to find the leap year too.

Here, we have given

(91 D 13) B 8 C 50 A 16 B 2 A (99 D 11) 

Substituting ‘A’ denotes ‘+’, ‘B’ denotes ‘×’, ‘C’ denotes ‘–’ and ‘D’ denotes ‘÷’, we will get,

= (91 ÷ 13) × 8 - 50 + 16 × 2 + (99 ÷ 11)

Applying BODMAS rule, we will get,

= 7 × 8 - 50 + 16 × 2 + 9

= 56 -50 + 32 + 9

=  47

Hence, the correct answer is 47.

Here, we need to find out the patterns to get the missing number.

The logic here is: Each odd term is multiplied by itself to get the even numbers.

For 19 : 361, we have:

For 6 : 36, we have:

Similarly for ? : 576, we have:

Thus, 24 $\times$ 24 = 576

Hence, the missing number is 24.

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

The logic here is:

Logic: First number x Second number + First number = Third Number 

In each row, the 1^st is multiplied with the 2^nd term and then the answer is added with the 1^st term to get the 3^rd term of each row.

In 1^st row → 17, 8, 153

$\Rightarrow$ 17 $\times$ 8 + 17 = 153

And,

In 2^nd row → 19, 6, 133

$\Rightarrow$ 19 $\times$ 6 + 19 = 133

Similarly,

In 3^rd row → 13, 7, ?

$\Rightarrow$ 13 $\times$ 7 + 13 = 104

Hence, the missing number is "104".

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

Given: A B _ K P    C D H _ P   E F H  K _   G _H K P

The logic here is: There is a group of 5 letters. Each group is starting with two consecutive letters starting from AB. And the remaining three letters of each group are same i.e. H K P.

First we will check all the options:

1) H K P H: A B H K P    C D H K P   E F H  K P   G H H K P

2) C K E H: A B C K P    C D H K P   E F H  K E   G H H K P

3) H G P E: A B H K P    C D H G P   E F H  K P   G E H K P

4) C G P E: A B C K P    C D H G P   E F H  K P   G E H K P

In the option 1, 'H K P H' forms the pattern.

 

Hence, the missing letters are 'H K P H'.

Here, we are given the word and we need to find the mirror image of it.

First keep in mind that, in mirror image the first letter will be the last letter of the given word. Also, the size of the letters will not change i.e. capital letters will appear capital only.

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

 → Option 2 is eliminated.

• The number 

is used . So, the mirror image will be

→ Options 3 and 4 are eliminated.

 

Hence, 'Option 1' is the correct answer.

Additional Information

• In a mirror image Left changes to right hand the right changes to left where top 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.

Here, we need to find the pattern to fill the blanks.

Given: r d _ n _ d r _ _ b n n d _ r d b _ n d r

The logic here is: Each group of 7 letters is made and the words are repeated.

First we will check all the options

1) r n r d r n: r d r n n d r - r d b n n d r  - r d b n n d r

2) b n r d r r: r d b n n d r - r d b n n d r  - r d b r n d r

3) n n r d r n: r d  n n d r - r d b n n d r  - r d b n n d r 

4) b n r d r n: r d b n n d r - r d b n n d r  - r d b n n d r

In the option 4, 'b n r d r n' is repeated itself.

Thus, we have r d b n n d r r d b n n d r r d b n n d r

Hence, the missing blanks are 'b n r d r n'.

Given:

Areas of 3 adjacent faces, 

729 cm2, 529 cm2, and 289 cm2 

Concept Used:

Area of single cuboidal face = l × b,

Volume of Cuboid = l × b × h 

where l is the length, b is the breadth, and h is the height.

Calculation:

According to the question, 

 l × b = 729

b × h = 529

h × l = 289

Multiplying all three results, we will get

⇒ l × b × b × h × h × l = 729 × 529 × 289 

⇒ l² × b² × h² = 729 × 529 × 289 

Taking square root on both sides, 

⇒ l × b × h = ${\sqrt{729 × 529 × 289}}$

⇒ l × b × h = 10,557

∴ The volume of a cuboid is 10,557 cm³.

Given:

Numbers which is divisible by 3

Concept Used:

Divisibility Test of 3 = Sum of all digits of a number to be divisible by 3

Calculation:

⇒ Sum of digits of 7865001 = 7 + 8 + 6 + 5 + 0 + 0 + 1 = 27

⇒ So, 27 is divisible by 3

⇒ Sum of digits of 7803572 = 7 + 8 + 0 + 3 + 5 + 7 + 2 = 32

⇒ So, 32 is not divisible by 3

⇒ Sum of digits of 7803541 = 7 + 8 + 0 + 3 + 5 + 4 + 1 = 28

⇒ So, 28 is not divisible by 3

⇒ Sum of digits of 7803593 = 7 + 8 + 0 + 3 + 5 + 9 + 3 = 35

⇒ So, 35 is not divisible by 3

Hence, the number which is divisible by 3 is 7865001

Given:

$\sqrt {{a^{ - 1}}b} \times \sqrt {{b^{ - 1}}c} \times \sqrt {{c^{ - 1}}a}$

Calculation:

⇒ $\sqrt {{a^{ - 1}}b} \times \sqrt {{b^{ - 1}}c} \times \sqrt {{c^{ - 1}}a}$

⇒ $\sqrt {{\frac{1}{a}\times}b} \times \sqrt {{\frac{1}{b}\times}c} \times \sqrt {{\frac{1}{c}\times}a}$

⇒ $\sqrt\frac{b}{a}\times\sqrt\frac{c}{b}\times\sqrt\frac{a}{c}$

⇒ $\sqrt{\frac{b}{a}\times\frac{c}{b}\times\frac{a}{c}}=1$

Hence, the simplified value of the expression is 1

Given:

Cost Price of rice = Rs 32

Selling Price of rice = Rs 40

Concept Used:

Profit % = $\frac{Profit}{CP}×100$

Calculation:

⇒ Dealer sells 900 grams of rice instead of 1 kg

⇒ Cost price of 900 grams = $\frac{900}{1000}×32=28.8$ Rs

⇒ Selling price of 900 grams will be equal to selling price of 1 kg

⇒ Selling price of 900 grams = Rs 40

⇒ Profit = SP – CP = 40 – 28.8 = Rs 11.2

⇒ Profit % = $\frac{11.2}{28.8}×100$

⇒ Profit % = 38.9 %

Hence, the overall profit percentage made by the rice dealer is 38.9 %.

Shortcut Trick⇒ (S.P/C.P) = (40/32) × (1000/900) = 25/18

⇒ If C.P = 18x then S.P = 25x

∴ Profit% = [(25x - 18x)/18x] × 100 = (7x/18x) × 100 = 38.9%.

Given:

Price of article reduction = 25%

Sale of article increment = 75%

Concept Used:

Net effect on revenue = Increment in sale – Reduction percentage in Price – ((Increment in sale × Reduction Percentage in price) ÷ 100)

Calculation:

⇒ Putting the values in the formula,

⇒ Net effect on revenue = $75-25-\frac{75\times25}{100}$ %

⇒ Net effect on revenue = $50-\frac{75}{4}$ %

⇒ Net effect on revenue = $50-18.75=31.25$ %

⇒ As the net effect result is in positive sign, then there is an increment.

Hence, the net effect on revenue is increase with 31.25 %

Given:

Average speed of a person while running = 20 km/h

Time taken by person in running = 30 minutes

Average speed of a person while cycling = 32 km/h

Time taken by person in cycling = 1 hour 15 minutes

Concept Used:

Speed = Distance ÷ Time

Calculation:

⇒ Convert the time taken in hours by dividing the minutes by 60,

⇒ So, 30 minutes = $\frac{30}{60}=0.5$ hours and 1 hour 15 minutes = $\frac{75}{60}=1.25$ hours

⇒ For the running speed,

⇒ Putting the values in the formula of speed,

⇒ $20=\frac{Distance}{0.5}$

⇒ Distance = 20 × 0.5 = 10 km

⇒ For the cycling speed,

⇒ $32=\frac{Distance}{1.25}$

⇒ Distance = 32 × 1.25 = 40 km

⇒ Now, total average speed = $\frac{40+10}{0.5+1.25}$

⇒ Total average speed = $\frac{50}{1.75}=28.6$ km/h

Hence, the average speed of a person is 28.6 km/h.

Given:

Average of 25 numbers = 18

Average of first 12 numbers = 14

Average of last 12 numbers = 17

Concept Used:

Average = Sum of numbers ÷ Number of values

Calculation:

⇒ Total sum of 25 numbers = 25 × 18 = 450

⇒ Average of first 12 numbers = 14

⇒ So, sum of first 12 numbers = 14 × 12 = 168

⇒ Average of last 12 numbers = 17

⇒ So, sum of last 12 numbers = 17 × 12 = 204

⇒ Value of the 13^th number = 450 – (168 + 204) = 450 – 372

⇒ Value of the 13^th number = 78

Hence, the value of the 13^th number is 78

Given:

2[8p + 5 {n - 2 $(n-\overline {n + p} )$ + 4p}]

Concept Used:

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

Calculation:

⇒ 2[8p + 5 {n - 2 $(n-\overline {n + p} )$ + 4p}]

⇒ 2[8p + 5 {n - 2 $(n-{n - p} )$ + 4p}]

⇒ 2[8p + 5 {n + $2p$ + 4p}] = $2[8p+5n+30p]$

⇒ $16p+10n+60p=76p+10n$

Hence, the value of the simplified expression is 76p + 10n

Given:

Ratio of students using school bus, bike and bicycle = 6 : 3 : 1

Total strength of school = 1200

Concept Used:

Total Students = Ratio × Number of students using any one vehicle

Calculation:

⇒ Let the number of students using school bus, bike and bicycle be 6x, 3x and x respectively.

⇒ $6x+3x+x=1200$

⇒ $10x=1200$

⇒ $x=120$

⇒ Number of students who use bicycle for transport = x = 120

Hence, the number of students who use bicycle for transport is 120

Given:

Length of Triangle 1 = 12, 18, 25

Length of Triangle 2 = 18, 23, 41

Length of Triangle 3 = 7, 10, 12

Length of Triangle 4 = 4, 7, 9

Concept Used:

Sum of two sides of triangle > Third Side

Calculation:

⇒ For Triangle 1,

⇒ 12 + 18 = 30 > 25

⇒ This is a true condition for a triangle.

⇒ For triangle 2,

⇒ 18 + 23 = 41 $\not>$ 41

⇒ This is a false condition for a triangle.

⇒ For triangle 3,

⇒ 7 + 10 = 17 > 12

⇒ This is a true condition for a triangle.

⇒ For triangle 4,

⇒ 4 + 7 = 11 > 9

⇒ This is a true condition for a triangle.

Hence, the sides of Triangle 2 as 18, 23 and 41, cannot be the lengths of the sides of a triangle.

Shortcut Trick

Solve the nested terms from inside out: (1 + 2) = 3 and (18 − 6) = 12.

The middle term becomes [−2 × 3] = −6.

The brace term becomes {12 + (−6)} = 6.

The expression reduces to 1800 ÷ 10{6}, which is 1800 ÷ 60.

Calculation: 1800 ÷ 60 = 30.

∴ The correct option is C.

Alternate Method

Given expression: 1800 ÷ 10{(18 − 6) + [−2(1 + 2)]}

Formula: VBODMAS (Vinculum, Brackets, Of, Division, Multiplication, Addition, Subtraction)

⇒ 1800 ÷ 10{(12) + [−2(3)]}

⇒ 1800 ÷ 10{12 + (−6)}

⇒ 1800 ÷ 10{12 − 6}

⇒ 1800 ÷ 10{6}

⇒ 1800 ÷ (10 × 6)

⇒ 1800 ÷ 60

⇒ 30

∴ The correct option is C.

Additional Information

VBODMAS Rule

It defines the sequence for solving mathematical operations: Vinculum → Brackets → Of → Division → Multiplication → Addition → Subtraction.

Bracket Priority

Always solve in the order of: circular brackets ( ), then curly braces { }, and finally square brackets [ ].

Implicit Multiplication

In many competitive exams, a number adjacent to a bracket (juxtaposition) is treated as a priority operation, similar to the Of (O) step.

Given:

Spent on transport in 2019 = Rs 27 million

Expenses share of transport = 18%

Expenses share of agriculture = 30%

Expenses share of health = 15%

Expenses share of irrigation = 25%

Expenses share of dairy = 12%

Concept Used:

Total composition of each sector = Percentage Expenses × Amount in one percent

Calculation:

⇒ 18% of transport expenses contain = Rs 27 million = Rs 27,000,000

⇒ 1% of the expenses include = $\frac{27000000}{18}=1,500,000$

⇒ Now, Expenses share of agriculture = $30 \times 1500000=45,000,000$

⇒ Expenses share of health = $15\times1500000=22,500,000$

⇒ Expenses share of irrigation = $25\times1500000=37,500,000$

⇒ Expenses share of dairy = $1500000\times12=18,000,000$

⇒ Total Expenses of all sectors = 27,000,000 + 45,000,000 + 22,500,000 + 37,500,000 + 18,000,000

⇒ Total Expenses of all sectors = Rs 150,000,000

Hence, the total expenses (in million) of the given sectors in the state government is 150 million.

Alternate Method From the pie chart,

Expense on transport = 18%

18%  = 27 M

Then total expense = 100% = (27/18) * 100 = 150 M

Given:

Number of boys in class = 26

Number of girls in class = 24

Average score of whole class = 85

Average score of boys = 82

Concept Used:

Average = Total Sum of Values ÷ Number of values

Calculation:

⇒ Let the total marks scored by whole class be x

⇒ Average score of class = $\frac{x}{26+24}=\frac{x}{50}$

⇒ $x= 50×85=4250$

⇒ Let the total marks scored by boys be y

⇒ Average score of boys = $\frac{y}{26}$

⇒ $y=26×82=2132$

⇒ Marks scored by girls = 4250 – 2132 = 2118

⇒ Average score by girls = $\frac{2118}{24}=88.25$

Hence, the average marks scored by the girls is 88.25

Shortcut Trick

alligation method:-

⇒  (85 - 82)/(x - 85) = 24/26  

⇒ 3/(x - 85) = 12/13

⇒12x - 12 × 85 = 39 

⇒ 12x - 1020 = 39 

⇒ 12x = 1059 

⇒  x = 88.25

$\frac{SP-CP}{CP}$Given:

Cost Price of notebook = Rs 85

Discount% = 15%

Profit% = 20%

Concept Used:

Profit% = $\frac{SP-CP}{CP}$

Calculation:

⇒ Let the marked price of a notebook be Rs x

⇒ Discount on the notebook = x – 0.15x = Rs 0.85x

⇒ Selling Price of a notebook = Rs 0.85x

⇒ Putting the value in the Profit% formula,

⇒ Profit% = $\frac{0.85x-85}{85}$

⇒ $\frac{20}{100}=\frac{0.85x-85}{85}$

⇒ $0.85x-85=17$

⇒ $x=\frac{102}{0.85}=120$

Hence, the marked price of the notebook will be Rs 120

Given:

Radius of base = 5 cm

Height = 24 cm

Concept Used:

Volume of Cylinder = $\pi r^2h$

Calculation:

⇒ Putting the values in the formula,

⇒ $\pi r^2h=3.14 \times 5^2\times24$

⇒ $3.14\times 5^2\times24=3.14\times600$

⇒ $3.14\times600=1884$ cm³.

Hence, the volume of the cylinder is 1884 cm³.

Alternate Method

100(sin 15° cos 15°)

⇒ 50(2sin 15° cos 15°)

We know that, 2sinAcosA = sin2A and Sin30 = 1/2

⇒ 50(sin 30°)

⇒ 50 × 1/2 = 25

GIVEN:

100 $( sin15^\circ cos15^\circ)$ 

FORMULA USED:

$sin(A - B) = sinA cosB - cosAsinB$ 

$cos( A - B) = cosA cosB +sinA sinB$

CALCULATION:

$sin15^\circ = sin( 45^\circ - 30^\circ)$ = $sin45^\circ cos30^\circ - cos45^\circ sin30^\circ$ = ($1 \over \sqrt2$ × $\sqrt3\over 2$ ) - ( $1\over\sqrt2$ ×$1\over2$) = $( \sqrt3 -1)\over2\sqrt2$ .

 $cos 15^\circ = cos( 45^\circ - 30^\circ) = cos45^\circ cos30^\circ + sin45^\circ sin30^\circ$ =( $1\over \sqrt2$ × $\sqrt3\over2$ ) +( $\frac{1}{\sqrt2}+ \frac{1}{2}$) = $( \sqrt3 +1)\over 2\sqrt2$

Now, 100 ($sin15^\circ cos15^\circ$) =  100 ×    $( \sqrt3 -1)\over2\sqrt2$× $( \sqrt3 +1)\over2\sqrt2$  =  100× 2/8 = 25.

Hence, the value is 25.

GIVEN:

Perimeter = 80 cm.

length of an unequal side = 20 cm.

FORMULA USED:

P = 2a + b  units.       Where P = Perimeter, a = length of two equal sides. and b = length of  base or unequal side.

CALCULATION:

Here P = 80 cm ,   b = 20 cm 

⇒P = 2a + b 

⇒ 80 = 2a + 20 

⇒2a = 60 

⇒ a = 30 cm.

Hence, Length of each of the equal sides is 30 cm.

GIVEN:

resulting number = 72

FORMULA USED:

Successive percentage change = X - Y -X Y /100     Where X and Y are percentage increase and decrease respectively

CALCULATION:

Let the original number be $x$

Here, X = 25 % increase , Y = 10% decrease 

Successive % change = 25 - 10 -( 25×10/100 )= +  12.5%  ( +) sign shows increase.

⇒ $x + 12.5$%$x$ =  72.

⇒ $x + \frac{125}{1000}x =72.$

⇒ $x +\frac{1}{8} x = 72.$   ⇔ 9x/8 = 72 ⇔ x = 64.

Hence, the original number is 64.

Shortcut Trick Let the original number = x 

According to the question,

⇒ x × (125/100) × (90/100) = 72

⇒ x × (5/4) × (9/10) = 72

⇒ x × 45/40 = 72

⇒ x = 72 × 40/45

⇒ x = 64

Hence, the original number is 64.

GIVEN:

Marks obtained by a group of students in a test

CALCULATION:

No. of students who secure less than 10 marks = 2.

No. of students who secure less than 20 marks = ( 5-2) = 3.

No .of students who secure less than  30 marks = 6 -( 3+2) = ( 6-5) =1.

No. of students who secure less than 40 marks = 8 - (2+3+1) = ( 8-6) = 2.

No. of students who secure less than 50 marks = 10 - ( 2+3+1+2) = 2.

Now, Total number of students in the group = ( 2 + 3+ 1 +2 + 2) = 10.

Hence, the total number of students are 10.

GIVEN:

Sum becomes Rs2,000 = 3 years.

Sum becomes Rs2,400 = 4 years

FORMULA USED:

A = P ×$( 1+R/100)^t$  )      Where A = Amount , P = Principal , R = Rate of interest and t = time in years.

CALCULATION:

 2,000 = P × $( 1 +R/100)^3$ ................( 1)

2,400 = P × $( 1+ R/100)^4$ .................( 2)

Now, (2) ÷ (1) , we get

24/20 = ( 1 +R/100) 

⇒R/100 = 1/5  

⇒ R = 20 

Hence, yearly Rate of Compound Interest is 20%.

Shortcut Trick

Downstream speed = 22 + 8 = 30 km/h

Upstream speed = 22 − 8 = 14 km/h

Distance = [(Product of speeds) ÷ (Difference of speeds)] × Time Difference

Distance = [(30 × 14) ÷ (30 − 14)] × 4

Distance = (420 ÷ 16) × 4 = 105 km

∴ The correct answer is 105 km.

Alternate Method

Given:

Speed of the boat in still water = 22 km/h

Speed of the river = 8 km/h

Difference in time taken = 4 hours

Total Distance = D

Downstream: 30 km/h (T hrs)

Upstream: 14 km/h (T + 4 hrs)

Formula Used:

Speed downstream = Speed of boat + Speed of river

Speed upstream = Speed of boat − Speed of river

Time = Distance ÷ Speed

Calculations:

⇒ Speed downstream = 22 + 8 = 30 km/h

⇒ Speed upstream = 22 − 8 = 14 km/h

Let the total distance be D.

⇒ Time taken upstream = D ÷ 14

⇒ Time taken downstream = D ÷ 30

According to the given condition:

⇒ (D ÷ 14) − (D ÷ 30) = 4

Taking LCM of 14 and 30, which is 210:

⇒ (15D − 7D) ÷ 210 = 4

⇒ 8D ÷ 210 = 4

⇒ 8D = 4 × 210

⇒ 8D = 840

⇒ D = 840 ÷ 8 = 105 km

∴ The correct answer is 105 km.

Additional Information

Relative Speeds in Water

If the boat's speed is u and the stream's speed is v, then Downstream Speed = u + v, and Upstream Speed = u − v.

Finding Speeds from Upstream & Downstream

Boat's speed in still water = (Downstream Speed + Upstream Speed) ÷ 2. Stream's speed = (Downstream Speed − Upstream Speed) ÷ 2.

Average Speed for a Round Trip

When traveling distance D downstream and returning upstream, Average Speed = (2 × Downstream Speed × Upstream Speed) ÷ (Downstream Speed + Upstream Speed).