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

The correct answer is "The clown was laughed at by me."

Key Points

• There are a few things we need to keep in mind before changing a sentence from active to passive voice:
• The subject in the active voice becomes the object in the passive voice.
• In the given sentence, the subject pronoun "I" in the active voice changes to the object pronoun "me" in the passive voice.
• The object in the active voice becomes the subject in the passive voice.
• In the given sentence, "the clown" becomes the subject in a passive voice.
• We use the preposition "by" before the agent in the passive voice.
• In the given sentence, the preposition "by" is used before the object pronoun "me".
• The given sentence is in the simple past tense.

​The correct sentence is: The clown was laughed at by me.

Hence, the correct answer is option 1.

The erroneous segment is "to an environment".

Key Points

• In the given sentence, the usage of indefinite article "an" in the given sentence is incorrect.
• We use the definite article before singular or plural noun.
• In the given sentence, we need to use the definite article "the" before the singular noun "environment".

The correct sentence is: There was an interesting article in the newspaper about the dangers to the environment.

Hence, the correct answer is option 1.

The erroneous spelling is "Aquaintance".

Key Points

• Let's look at the correct spelling and meaning of the word.
• Acquaintance: a person one knows slightly, but who is not a close friend.
• ​Example: Sania said," I don't know Mr. Vijay personally, he is more of an acquaintance to me."

​Hence, the correct answer is option 1.

Additional Information

• Let's look at the meaning of other words.
• ​Treacherous: guilty of or involving betrayal or deception.
• Serendipity: the occurrence and development of events by chance in a happy or beneficial way.
• Malicious: characterized by malice; intending or intended to do harm.
• ​All the other words are spelled correctly.

The correct answer is "at".

Key Points

• In the given sentence the usage of the preposition "towards" is incorrect.
• We need to use the preposition "at" in the given sentence.
• The preposition "at" is used before specific times of the day.
• The preposition "at" is also known as the preposition of time.

​The correct sentence is: We will leave at 6.00 a.m.

Hence, the correct answer is option 1.

The correct answer is "Profane".

Key Points

• Let's look at the meaning of the given word:
• Sacred: connected with God or a god or dedicated to a religious purpose and so deserving veneration.
• Let's look at the meaning of the given options:
• ​Profane: (of a person or their behavior) not respectful of religious practice; irreverent.
• Maniacal: exhibiting extremely wild or violent behavior.
• Inquisitive: having or showing an interest in learning things; curious.
• Rational: based on or in accordance with reason or logic.
• ​As per the meaning of the given words, "Profane" is the antonym of the word "sacred".
• Example: The priest warned, " Don't profane the lord's name."

Hence, the correct answer is option 1.

The correct answer is "Omniscient".

Key Points

• Let's look at the meaning of the given options:
• Omnipotent: (of a deity) having unlimited power.
• Omniscient: knowing everything.
• Omnipresent: widely or constantly encountered; widespread.
• Omnivorous: (of an animal or person) feeding on a variety of food of both plant and animal origin.
• ​As per the meaning of the given words, "Omniscient" is the one-word substitute for the underlined group of words.
• ​Example: The omniscient narrator in the novel was a crucial part of the plot structure.

​Hence, the correct answer is option 2.

The correct answer is "Bulwark".

Key Points

• Let's look at the meaning of the given word.
• Rampart: a defensive or protective barrier.
• ​Let's look at the meaning of the given options.
• ​Denigration: the action of unfairly criticizing someone or something.
• Fortitude: courage in pain or adversity.
• Bulwark: a person or thing that acts as a defence.
• Portal: a doorway, gate, or other entrance, especially a large and imposing one.
• ​As per the meaning of the given words, "bulwark" is the synonym of "rampart".
• ​Example:  The Covid-19 vaccines acted as a bulwark against the virus.

​Hence, the correct answer is option 3.

The correct answer is "Perusal".

Key Points

• Let's look at the meaning of the given words:
• Persuade: induce (someone) to do something through reasoning or argument.
• Perverse: showing a deliberate and obstinate desire to behave in a way that is unreasonable or unacceptable.
• Perusal: the examination or reading of something paying attention to details.
• Persiflage: light and slightly contemptuous mockery or banter.
• ​As per the meaning of the given words,"perusal" is the one-word substitute for the given group of words.
• ​Example: The salesman said, "The catalogue is at your perusal in case you have any doubts regarding or company's products."

 Hence, the correct answer is option 3.

The correct answer is "The opposition has defeated our team."

Key Points

• There are a few things to keep in mind before changing a sentence from passive to active voice:
• The subject in the passive voice becomes the object in active voice.
• In the given sentence, "our team" becomes the object(receiver of action) of the sentence in the active voice.
• The subject can be omitted in the passive voice whereas the subject is highlighted in the active voice.
• In the given sentence, "the opposition" is the subject(doer of action) of the active voice.
• We can avoid the usage of "to be" constructions such as "been" in the active voice.
• The given sentence is in the simple past tense.

​The correct sentence is: The opposition has defeated our team.

Hence, the correct answer is option 4.

The correct answer is "He saw us coming, and unaware that we had learned of his treachery, greeted us with a smile."

Key Points

• In the given sentence, the tense of the verb "sees" is incorrect, as the given sentence is in past perfect tense.
• Options 1,3, 4 are grammatically incorrect.
• In option 1, the auxiliary verb "had" is missing before the past participle form of the verb "learned".
• In option 3, the tense of the main verb "learning" is incorrect, as the given sentence was in past perfect tense.
• In option 4, the  tense of the verb "come" is incorrect .
• Option 2 is correct answer with the appropriate tense of the verb "sees" which is "saw".

​The correct sentence is:He saw us coming, and unaware that we had learned of his treachery, greeted us with a smile.

Hence, the correct answer is option 2.

The correct answer is "living in the countryside"

Key Points

• Options 1,2,3 are grammatically incorrect:
• Option 1 incorrectly uses the infinitive form in "to have live".
• Option 2 has the incorrect tense of the verb in "lived".
• Option 3  has the incorrect infinitive form and tense of the verb "lived".
• Option 4 is grammatically correct. The given option is in the present tense.

The correct sentence is: Nowadays, many doctors advise living in the countryside.

Hence, the correct answer is option 4.

The erroneous spelling is "premitivism".

Key Points

• Let's look at the correct spelling and meaning of the word:
• Primitivism: a belief in the value of what is simple and unsophisticated, expressed as a philosophy of life or through art or literature.
• ​Example: Primitivism was a key inspiration for a lot of painting schools such as cubism, fauvism and post-impressionism.

​Hence, the correct answer is option 2.

Additional Information

• Let's look at the meaning of the other words.
• ​radicalism: the beliefs or actions of people who advocate thorough or complete political or social reform.
• raged: feel or express violent uncontrollable anger.
• debates: an argument about a particular subject, especially one in which many people are involved.
• ​All the other words are spelled correctly.​

The correct answer is "Hypocrite".

Key Points

• Let's look at the meaning of the given words:
• Canter: a pace of a horse or other quadruped between a trot and a gallop, with not less than one foot on the ground at any time.
• Autocrat: a ruler who has absolute power.
• Hypocrite: a person who acts in contradiction to his or her stated beliefs or feelings.
• Goody: a good or favoured person, especially a hero in a book, film, etc.
• ​As per the meaning of the given words, "hypocrite" is the one-word substitute for the underlined group of words.
• ​Example: Amitava is such a hypocrite as he claims to treat everyone equally but he often engages in favoritism with female employees.

The correct sentence is: At the party, Rohan was a hypocrite to influence the investors for his company's shares.

Hence, the correct answer is option 3.

The correct answer is "To look sad".

Key Points

• The meaning of the given idiom is "to look sad, glum, disapproving, etc."
• We use the given idiom in a situation where we have just heard a piece of disappointing news or witnessed something disheartening.
• Example: Our daughter pulls a long face every time we ask her to study.

​​Hence, the correct answer is option 2.

The correct answer is "mild".

Key Points

• Let's look at the meaning of the given words:
• slight: small in degree; inconsiderable.
• insipid: lacking flavor; weak or tasteless.
• mild: not severe, serious, or harsh.
• thin: with opposite surfaces or sides that are close or relatively close together.
• ​As per the meaning of the given words, "mild" is the appropriate option to fill in the blank.
• ​Example: The doctor told us that my son was suffering from a mild fever.

​The correct sentence is: Towards the end of February the weather turned very mild.

Hence, the correct answer is option 3.

The correct answer is "personal".

Key Points

• Let's look at the meaning of the given words:
• person: a human being regarded as an individual.
• personnel: people employed in an organization or engaged in an organized undertaking such as military service.
• persona: the aspect of someone's character that is presented to or perceived by others.
• personal: belonging to or affecting a particular person rather than anyone else.
• ​As per the meaning of the given words, "personal" is the appropriate homonym to fill in the blank.
• ​Example: Rani said, "I don't want to talk about my marriage, it's a bit personal for me."

​​Hence, the correct answer is option 4.

The correct answer is "Faithful".

Key Points

• Let's look at the meaning of the given word:
• Treacherous: guilty of or involving betrayal or deception.
• ​Let's look at the meaning of the given words:
• ​Fantastic: of extraordinary size or degree.
• Flexible: capable of bending easily without breaking.
• Fluent: able to express oneself easily and articulately.
• Faithful: remaining loyal and steadfast.
• ​As per the meaning of the given words, "Faithful" is the appropriate antonym for the word "treacherous".
• ​Example: Arjun was faithful to his wife so he chose not to remarry after his wife's death.

​Hence, the correct answer is option 4.

The correct answer is "abundant".

Key Points

• Let's look at the meaning of the given word.
• ​Scarce: occurring in small numbers or quantities; rare.
• ​Example: The crops wilted as the rains were scarce.
• Let's look at the meaning of the given options.
• strong: able to perform a specified action well and powerfully.
• mysterious: difficult or impossible to understand, explain, or identify.
• scant: barely sufficient or adequate.
• abundant: existing or available in large quantities; plentiful.
• ​As per the meaning of the given words, "abundant"  is the appropriate antonym for the word mentioned in the bracket.
• Example: The rainfalls were abundant in nature so the villagers didn't need to store the rainwater.

​The correct sentence is: There is abundant evidence that he is the thief.

Hence, the correct answer is option 4.

The correct answer is "cut in".

Key Points

• Let's look at the meaning of the given phrasal verbs.
• cut in: to interrupt what someone is saying by saying something yourself. (किसी की बात को स्वयं कुछ कह कर बाधित करना।)
• intrude over: to involve oneself in something in a way that is meddlesome or unwelcome. ( (अपने आप को किसी चीज़ में इस तरह से शामिल करना जो कि दखल देने वाला या अवांछित हो।))
• burst in: to enter a room or building suddenly and noisily. (किसी कमरे या भवन में अचानक और शोरगुल के साथ प्रवेश करना।)
• walk over: to treat someone badly, without considering them or their needs. (किसी के साथ या उसकी जरूरतों पर विचार किए बिना, उसके साथ बुरा व्यवहार करना।)
• As per the meaning of the given words, "cut in" appropriate option to substitute the underline segment in the given sentence.
• The implied meaning of the given sentence is that it's a bad habit to interrupt while someone is speaking. (दिए गए वाक्य का निहित अर्थ यह है कि किसी के बोलते समय बीच में टोका जाना एक बुरी आदत है।)

​The correct sentence is: It is a bad habit to cut in while someone is speaking.

Hence, the correct answer is option 1.

The correct answer is "Pleasant condition of life".

Key Points

• The meaning of the given idiom is "a place or situation of agreeable ease."
• We use the given idiom to refer to a situation where we are faced with a comfortable scenario.
• Example:  My mother told me, " Life is not a bed of roses rather one has to work really hard to be successful".

Hence, the correct answer is option 4.

The correct answer is "a few".

Key Points

• We need to use the quantifier "a few" in the given sentence.
• We use the quantifier "a few" before plural countable nouns.
• The quantifier "a few" means some or a small number.
• In the given sentence, the quantifier "a few" is used before the plural noun "people".

Hence, the correct answer is option 1.

The complete passage is: Although everyone wants to be successful in life, there are (1) a few people who know the elements of success, the factors that go to build up success. Today, success is being (2) confused with making money, with amassing millions and billions. Some people equate it with power and position. Many of us tend to equate success with visible material acquisitions. Outer things and external achievements are not a *(3)*measure of success. Power, prestige, position, social influence and higher degrees awarded by universities - all these are outer things. They only touch the fringe of life; they do not enter the depths within. A man may have all these and yet maybe intellectually barren; he may be emotionally barren and spiritually sterile. Would you call such a man (4) successful? What then is success all about? What is true success? Success can be defined as the ability to be happy and make others happy; the ability to love and be loved; the ability to remain in peaceful (5) harmony with oneself; with those around you and with God's cosmic laws.

The correct answer is "confused".

Key Points

• Let's look at the meaning of the given words:
• challenged: used to indicate that someone or something is lacking or deficient in specified respect.
• confused: (of a person) unable to think clearly; bewildered.
• decreased: make or become smaller or fewer in size, amount, intensity, or degree.
• amazed: greatly surprised; astonished.
• ​As per the meaning of the given words, "confused" is the appropriate word choice for the blank.
• The implied meaning of the given sentence is that success is misunderstood as having material wealth by amassing millions and billions.

Hence, the correct answer is option 2.

The complete passage is: Although everyone wants to be successful in life, there are (1) a few people who know the elements of success, the factors that go to build up success. Today, success is being (2) confused with making money, with amassing millions and billions. Some people equate it with power and position. Many of us tend to equate success with visible material acquisitions. Outer things and external achievements are not a **(3)measure of success. Power, prestige, position, social influence and higher degrees awarded by universities - all these are outer things. They only touch the fringe of life; they do not enter the depths within. A man may have all these and yet maybe intellectually barren; he may be emotionally barren and spiritually sterile. Would you call such a man (4) successful? What then is success all about? What is true success? Success can be defined as the ability to be happy and make others happy; the ability to love and be loved; the ability to remain in peaceful (5) harmony with oneself; with those around you and with God's cosmic laws.

The correct answer is "measure".

Key Points

• Let's look at the meaning of the given words:
• ​Reasons: a cause, explanation, or justification for an action or event.
• Measure: assess the importance, effect, or value of (something).
• Thought: an idea or opinion produced by thinking, or occurring suddenly in the mind.
• Gift: a thing given willingly to someone without payment; a present.
• ​As per the meaning of the given words, "measure" is the appropriate option for the blank.
• The implied meaning of the given sentence is that external achievements or material things are not the ideal way to asses one's success.

​Hence, the correct answer is option 2.

The complete passage is: Although everyone wants to be successful in life, there are (1) a few people who know the elements of success, the factors that go to build up success. Today, success is being (2) confused with making money, with amassing millions and billions. Some people equate it with power and position. Many of us tend to equate success with visible material acquisitions. Outer things and external achievements are not a *(3)*measure of success. Power, prestige, position, social influence and higher degrees awarded by universities - all these are outer things. They only touch the fringe of life; they do not enter the depths within. A man may have all these and yet maybe intellectually barren; he may be emotionally barren and spiritually sterile. Would you call such a man (4) successful ? What then is success all about? What is true success? Success can be defined as the ability to be happy and make others happy; the ability to love and be loved; the ability to remain in peaceful (5) harmony with oneself; with those around you and with God's cosmic laws.

The correct answer is "successful".

Key Points

• Let's look at the meaning of the given words:
• ​sober: not affected by alcohol; not drunk.
• successful: accomplishing a desired aim or result.
• sensible: done or chosen in accordance with wisdom or prudence; likely to be of benefit.
• thoughtful: absorbed in or involving thought.
• ​​As per the meaning of the given words, "successful" is the appropriate option for the blank.
• The implied meaning of the given sentence is that would we call a person with only material wealth as prosperous in life.

Hence, the correct answer is option 2.

The complete passage is: Although everyone wants to be successful in life, there are (1) a few people who know the elements of success, the factors that go to build up success. Today, success is being (2) confused with making money, with amassing millions and billions. Some people equate it with power and position. Many of us tend to equate success with visible material acquisitions. Outer things and external achievements are not a *(3)*measure of success. Power, prestige, position, social influence and higher degrees awarded by universities - all these are outer things. They only touch the fringe of life; they do not enter the depths within. A man may have all these and yet maybe intellectually barren; he may be emotionally barren and spiritually sterile. Would you call such a man (4) successful? What then is success all about? What is true success? Success can be defined as the ability to be happy and make others happy; the ability to love and be loved; the ability to remain in peaceful (5) harmony with oneself; with those around you and with God's cosmic laws.

The correct answer is "harmony".

Key Points

• Let's look at the meaning of the given words:
• ​Harmony: the situation in which people live or work happily together without any big problems
• Inner beauty: refers to the personality of a person including his/her mind and character.
• Pride: consciousness of one's own dignity.
• Praise: the expression of approval or admiration for someone or something.
• ​​​As per the meaning of the given words, "harmony" is the appropriate option for the blank.
• The implied meaning of the given sentence is that Success can be defined as the ability to be happy and make others happy; the ability to love and be loved; the ability to remain in peace and happiness with oneself and others.

Hence, the correct answer is option 1.

The complete passage is: Although everyone wants to be successful in life, there are (1) a few people who know the elements of success, the factors that go to build up success. Today, success is being (2) confused with making money, with amassing millions and billions. Some people equate it with power and position. Many of us tend to equate success with visible material acquisitions. Outer things and external achievements are not a *(3)*measure of success. Power, prestige, position, social influence and higher degrees awarded by universities - all these are outer things. They only touch the fringes of life; they do not enter the depths within. A man may have all these and yet may be intellectually barren; he may be emotionally barren and spiritually sterile. Would you call such a man (4) successful? What then is success all about? What is true success? Success can be defined as the ability to be happy and make others happy; the ability to love and be loved; the ability to remain in peaceful (5) harmony with oneself; with those around you and with God's cosmic laws.

The figure is given below:

The shaded portion is the embedded figure.

Hence, 'option 3' is the correct answer.

The pattern used in the given codes is:

• The first and second alphabets are interchanged.
• The third and fourth alphabets are interchanged.
• The fifth and sixth alphabets are interchanged.

​

Similarly,

Hence the correct answer is option 2)

The pattern followed here is:

6 × 2  + 4 = 16

16 × 2 - 3 = 29

29 × 2 + 4 = 62

62 × 2 - 3 = 121 

121 × 2 + 4 = 246

Hence, the correct answer is "246".

There is an alternate use of × and + with the increasing terms.

Hence the correct answer is option 2)

Logic : When the digits of the first number are written in the descending order, second number is obtained.

Lets check each option:

1) 4612-6412

⇒ When the digits of the first number are written in the descending order, 6421 is obtained. But 6421 ≠ 6412.

2) 7938-9873

⇒ When the digits of the first number are written in the descending order, 9873 is obtained.

3) 5286-8652

⇒ When the digits of the first number are written in the descending order, 8652 is obtained.

4) 8734-8743

⇒ When the digits of the first number are written in the descending order, 8743 is obtained.

So "4612-6412" is the odd one out.

Hence, 'option 1' is the correct answer.

We unfold the paper step by step:

Now we consider the given options:

Option 1) The pattern matches completely.

Option 2) The arrangement of squares and circles is incorrect.

Option 3) The arrangement of squares and circles is unsymmetrical and incorrect.

Option 4) The arrangement of squares and circles is not positioned correctly.

Hence the correct answer is option 1)

The mirror image of the given pattern is:

Now we consider the given options:

Option 1) The pattern is upside down and it is incorrect.

Option 2) The pattern is upside down except for the mirror image of p but the option is incorrect.

Option 3) The pattern is partially correct but z and Q are not mirrored.

Option 4) The pattern matches completely.

Hence the correct answer is option 4)

The logic followed here is:

Logic: First number × 4 - 2 = Second number and Second number × 2 + 4 = Third number

First row: 9, 34, 72

⇒ 9 × 4 - 2 = 34

⇒ 34 × 2 + 4 = 72

Second row: 7, 26, 56

⇒ 7 × 4 - 2 = 26

⇒ 26 × 2 + 4 = 56

Third row: 23, 90, ?

by applying the same logic,

⇒ 23 × 4 - 2 = 90

⇒ 90 × 2 + 4 = 184

Hence, the correct answer is "184".

The pattern followed in the given rows is:

 First term × 3 = Second term

 First term × 5 = Third term

We apply the pattern on the given rows:

First row: 12, 36, 60

12 × 3 = 36; 36 = 36

12 × 5 = 60; 60 = 60

Second row: 24, 72, 120

24 × 3 = 72; 72 = 72

24 × 5 = 120; 120 = 120

Third row: 33, 99, ?

33 × 3 = 99; 99 = 99

33 × 5 =?

165 = Answer

Hence the correct answer is option 4)

The least possible Venn diagram is shown below according to the given data.

1. Galaxy is a gravitationally bound system of stars, stellar remnants, interstellar gas, dust and dark matter. It comprises of earth and moon.

Hence, the correct answer is "Option 4".

Given: d _ c d _ b_ d _ c d c _ d d b c _ c b d

Let's check each option:

1)  b d d b b d → d b c d d b d - d b c d c b d - d b c d c b d

2)  d c d d b d → d d c d c b d - d d c d c b d - d b c d c b d

3)  b c d b b d → d b c d c b d - d b c d c b d - d b c d c b d

• Here, there is a repeating pattern.

4)  d c d b b d → d d c d c b d - d b c d c b d - d b c d c b d

So, Option 3) gives a pattern of d b c d c b d - d b c d c b d - d b c d c b d.

Hence, ‘ b c d b b d ’ is the correct answer.

Given: 294, 326, 252, 273, 210, 220, 168, 167, ?

Logic followed here is :

Hence, option 2) is the correct answer.

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

2. Malfunction
3. Manageable 4. Manipulation
4. Masterpiece
5. Mathematic

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

The logic followed here is:

.

Hence, option 3) is the correct answer.

The logic followed here is:

Logic: {(Second number)² + Third number} ÷ 5 = First number

1. (18, 5, 65) : 5² = 25 → 25 + 65 = 90 → 90 ÷ 5 = 18

And

2. (14, 3, 61) : 3² = 9 → 9 + 61 = 70 → 70 ÷ 5 = 14

Similarly,

11² = 121 → 121 + 4 = 125 → 125 ÷ 5 = 25

Hence, the correct answer is "(25, 11, 4)".

The pattern followed here is:

Only 2^nd and 4^th letter are changing. 1^st and 3^rd letter are same as it is, i.e. Q and S.

On continuing the same pattern, we get,

Hence, ‘QJSH’ is the correct answer.

The logic followed here is:

Logic: (first number - 1) × (second number -1) = Third number

1) 9, 7, 48 → (9 - 1) × (7 - 1) = 8 × 6 =  48

And,

2) 12, 5, 44 → (12 - 1) × (5 - 1) = 11 × 4 = 44

Similarly,

3) 8, 13,? → (8 - 1) × (13 - 1) = 7 × 12 = 84

Hence, "84" is the correct answer,

The logic followed here is:

Logic: (First number + Second number) ÷ Third number = 3

First row: 86, 82, 56 → (86 + 82) ÷ 56 = 3

Second row: 74, 67,  47 → (74 + 67) ÷ 47 = 3

Similarly,

Third row: 54, 48,? → (54 + 48) ÷ 34 = 3

Hence, "34" is the correct answer.

The pattern followed here is:

• In INCLUDE ∶ CNILEDU 
• In KEYNOTE ∶ YEKNETO 
• Similarly, In NOTABLY : ? 

 We get 'TONAYLB'.

Hence, Option 3) is the correct answer.

The logic followed here:

According to the given table, 1^st and 2^nd letters are interchanged and the letters opposite to them are used in their place, same with 3^rd and 4^th letter.

• In HEAT,
• So, we get VSGZ.
• In CLAY,
• So, we get 'OXBZ'.
• Similarly, in BANK,
• So, we get 'ZYPM' .

​Hence, option 4) is the correct answer.

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

1. Immense
2. Implied
3. Induce
4. Interim
5. Invalid

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

The logic followed here is:

1) Only two people are taller than Q ⇒ _ > _ > Q

2. P is taller than Q but shorter than O ⇒ O > P > Q

3) M is taller than R but shorter than S ⇒ S > M > R

4) Only three people are taller than S ⇒ O > P > Q > S

5) N is the shortest among all ⇒ O > P > Q > S > M > R > N

So, the correct order following above logic will be ⇒ O > P > Q > S > M > R > N

So, there are two persons (S and M) between Q and R.

Hence, the option 1) is the correct answer.

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

Detailed Explanation :- 

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

" ends with "

". So, the mirror image will start with "

" → Options 3 is eliminated.

• The first letter is "

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

"→ Options 2 is eliminated.

• The fourth letter is "

". So, the number in the mirror image will be "

"→ Options 1 is eliminated.

Hence, Option 4) is the correct answer.

Additional Information

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

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

Detailed Explanation:- 

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

" ends with "

". So, the mirror image will start with "

" → Options 2, 4 are eliminated.

• The first letter is "

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

"→ Options 1 eliminated.

Hence, Option 3) is the correct answer.

Additional Information

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

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 "

"

• The second last letter is "

". So, the second letter in the mirror image will be "

"→ Options 3,4 are eliminated.

• The third last letter is "

". So, the third letter in the mirror image will be "

"→ Options 1 is eliminated.

Hence, Option 2) is the correct answer.

Additional Information

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

Given:

ΔABC congruent to ΔDEF

AC = 2.5 cm,

BC = 5 cm,

∠C = 75°,

DE = 2.5 cm

DF = 5 cm

Concept used:

Congruent sides and angle of 2 congruent triangles

Calculations:

According to the question,

In ΔABC and ΔDEF

⇒ AC = 2.5 cm = DE

⇒ BC = 5 cm = DF

Then,

⇒ ∠C = 75° = ∠D [Angles of congruent triangles are also equal]

∴ Angle D = 75°.

Given:

8x2 + 9x + 8 = 0

Calculations:

8x2 + 9x + 8 = 0

⇒ 8x2 + 8 = - 9x

⇒ 8x + 8/x = - 9

⇒ 8(x + 1/x) = - 9

⇒ (x + 1/x) = - 9/8

Now,

(x³ + 1/x³) = (x + 1/x)³ - 3 (x + 1/x)

⇒ (x3 + 1/x3) = (-9/8)³ - 3 (-9/8)

⇒ (x3 + 1/x3) = (-729/512) + 27/8

⇒ (x3 + 1/x3) = (-729 + 1728)/512 = 999/512

∴ The value of the given equation will be $\frac{999}{512}$.

Given:

The profit triples if the selling price is doubled.

Concept used:

Profit% = [(SP - CP)/CP] × 100

Calculations:

According to the question,

⇒ P = SP – CP ........(1)

It is given in the problem that on doubling the selling price, the profit triples, we have,

⇒ 3P = 2SP – CP ........(2)

Subtract (1) from (2), we get –

⇒ 3P - P = SP

⇒ SP = 2P .........(A)

Putting this in (1), we get,

⇒ P = 2P – CP

⇒ CP = P ........(B)

From (A) and (B), we get that SP = 2CP

[(2CP−CP)/CP]×100 

⇒ CP/CP × 100  = 100%

∴ The profit percentage is 100%.

Given:

A man can complete a work in 20 days

A woman can complete the same work in 10 days.

They work on it together for 5 days

Calculation:

According to the question,

1- day work of man = 1/20

1- day work of woman = 1/10

When they work together = 1/20 + 1/10 = 3/20

They did work together for 5 days = 5 × 3/20 = 3/4

Remaining work = 1 - 3/4 = 1/4

Time to complete 1/4 work only by woman = (1/4) ÷ (1/10) = 10/4 = 5/2

∴ The woman will take 5/2 or $2 \frac{1}{2}$ to complete the rest of the work.

Given:

A family spends 8% of its monthly income on charity.

The family spent ₹1,200 on charity.

Calculations:

Let the income of the family be 'x'

According to the question,

Charity = 8% of income

⇒ 1200 = 8% × x

⇒ x = (1200/8) × 100

⇒ x = 150 × 100 = Rs. 15000

∴ The income in that month was Rs. 15000.

Given:

Numbers between 100 and 1000

Divisible by 17

Concept used:

Arithmetic Progression (an) = a + (n – 1) × d

Calculations:

1^st no. between 100 and 1000 divisible by 17 = 102

Last no. between 100 and 1000 divisible by 17 

⇒ 1000/17 = 58 × 17 + 14

⇒ 1000 - 14 = 986

Now Series divisible by 17 

AP = 102 + (n - 1)17

⇒ 986 = 102 + (n - 1)17

⇒ 884/17 = n - 1

⇒ n = 52 + 1 = 53

∴ 53 numbers between 100 and 1000 are divisible by 17.

Given:

Graph representing the sales of laptops from the year 2010-2013.

Calculations:

Increase in sales in 2013 as compared to 2012

⇒  52 - 36

⇒ 16

Now, the percentage increase in sales = $\frac{increase \space in \space sales}{previous\space sales}$× 100

⇒ $\frac{16}{36}$ × 100

⇒ $\frac{400}{9}$ = 44.44%

Hence, The required percentage value is 44.44%.

Given:

The area of a triangle is 96 cm2 

The length of one of its sides is 24 cm. 

Formula used:

Area of a triangle = 1/2 × Base × Height

Calculations:

Considering the side given as the Base of the triangle then,

According to the question,

96 = 1/2 × 24 × H

⇒ 96 = 12 × H

⇒ H = 96/12 = 8 cm

∴ The length of the perpendicular is 8 cm.

Shortcut Trick

Subtract the power of the first term of the denominator from the first term of the numerator: 3 − 1 = 2.

The ratio of the entire sum simplifies to the base raised to this difference: 9².

Expression = (9²)^1/2 = 9.

∴ The correct answer is 9.

Alternate Method

Given: [ (9³ + 9⁴ + 9⁵ + 9⁶ + 9⁷) ÷ (9¹ + 9² + 9³ + 9⁴ + 9⁵) ]^1/2

Formula Used: a^m × aⁿ = a^m+n; √x = x^1/2

⇒ Numerator = 9³ + 9⁴ + 9⁵ + 9⁶ + 9⁷ ⇒ Numerator = 9²(9¹ + 9² + 9³ + 9⁴ + 9⁵) ⇒ Expression = [ 9²(9¹ + 9² + 9³ + 9⁴ + 9⁵) ÷ (9¹ + 9² + 9³ + 9⁴ + 9⁵) ]^1/2 ⇒ Expression = (9²)^1/2 ⇒ Expression = 9^{2 × 1/2} ⇒ Expression = 9¹ = 9

∴ The correct answer is 9.

Additional Information

Product Law of Exponents

a^m × aⁿ = a^m+n. When multiplying powers with the same base, the exponents are added.

Quotient Law of Exponents

a^m ÷ aⁿ = a^m−n. When dividing powers with the same base, the exponents are subtracted.

Power of a Power Rule

(a^m)ⁿ = a^m×n. A base raised to a power and then to another power results in the product of powers.

Radical to Exponent Conversion

The n-th root of a number can be written as an exponent: ⁿ√a = a^1/n.

Formula used:- 

sin 2θ = 2 sin θ × cos θ , $\tan \theta + \cot\theta = \frac{1}{\sin\theta \times \cos\theta}$

Calculation:- 

The given expression is sin 2θ (tan θ + cot θ)

By using the above-mentioned formulas,

sin 2θ (tan θ + cot θ) = $\left(2\times\sin\theta\times\cos\theta\right)\times \left(\frac{1}{\sin\theta \times \cos\theta}\right)$

On reducing the numerator and denominator,

sin 2θ (tan θ + cot θ) = 2

The value of the expression is 2.

Calculation**:-**

Total number of scooters produced in January = 100

Total number of scooters produced in February = 105

Total number of scooters produced in March = 108

Total number of scooters produced in April = 110

Total number of scooters produced in May = 110

Total number of scooters produced in June = 90

As it is visible that the production in April and May is the same (110 scooters produced in each)

∴ April and May are the two months where scooters produced by the company are equal.

Concept used:-

BODMAS [Brackets, of, division, multiplication, addition, subtraction]

Calculation**:-** Solving the expression which is inside the bracket,

⇒ 42 ÷ 7 × 12 ÷ 3

⇒ 6 × 4

⇒ 24

The value of the expression is 24.

Concept used:-

A% of B + C% of B = (A+C)% of B

Calculation**:-**

Let the salary of Bhanu be 'x'

According to question,

Bhanu is spending his complete salary on different things,

⇒ x = 20% of x + 10% of x + 14% of x + 18% of x + 20% of x + 1520 

By the mentioned concept,

x = 62% of x + 1520

⇒ x = 62x/100 +1520

100x = 62x + 152000

38x = 152000

⇒ x = 4000

The monthly salary of Bhanu is Rs. 4000

Calculation:

Let the Number of students having Graphics be G,

Number of students having Graphics(G) = $\frac{12}{100}\times 8000$

Let the Number of students having Networking be N,

Number of students having Networking(N) = $\frac{19}{100}\times 8000$

Let the Number of students having C programming be C,

Number of students having C programming= $\frac{17}{100}\times 8000$

The ratio of the total number of students having either Networking or Graphics as their specialisations to the number of students having C programming will be (N + G) : C

$N+G:C=\frac{\left(\frac{12}{100} \times 8000\right)+\left(\frac{19}{100}\times8000\right)}{\left(\frac{17}{100}\times8000\right)}$

Reducing the $\frac{8000}{100}$ from both the numerator and denominator then,

(N + G) : C = $\frac{12+19}{17}$

⇒ (N + G) : C = 31 : 17

The ratio of students having either Networking or graphics to the number of students having C programming is 31 : 17

Given:- 

Interest rate(r) = 26% p.a.

Formula used:-

$A = P\times\left(1+\frac{r}{n}\right)^{nt}$

Calculation**:-** 

Let the initial amount be X

It is given that interest is compounded annually which signifies that n = 1

It is mentioned that the interest is getting double,

Let after time 'T' the final amount will be 2X

By using formula of compound interest using n = 1,

⇒ $2X=X\times \left(1+r\right)^{T}$

⇒ $2=\left(1+r\right)^{T}$

Put the value of r = 26% in the equation,

⇒ $2=(1.26)^{T}$

Taking $\log_{1.26}$ on both sides,

$\log_{1.26}^{\ 2}\ =\ \log_{1.26}^{\ {(1.26)}^T}$

⇒ $\log_{1.26}^{\ 2} =T$

T = 2.99 years

The total required to double the initial sum is 3 years(approx).

Formula used:- 

Distance = Speed × time

Calculation:-

Let the speed of watercraft be x and river be y

Speed of the watercraft while moving down = speed of watercraft  + speed of river

Moving down = x + y

Speed of the watercraft while moving up(against the river) = speed of watercraft  - speed of river

Moving up = x - y

Time taken by watercraft while moving down for 32 km is 4 hours,

By using the formula $Speed=\frac{Distance}{Time}$

⇒ (x + y) = $\frac{32}{4}$

(x + y) = 8km/h   ------------(i)

Time taken by watercraft while moving against for 10 km is 5 hours,

Then by using the formula for speed,

⇒ (x - y) = $\frac{10}{5}$

(x - y) = 2km/h --------(ii)

On solving the equation (i) and (ii)

x = 5 km/h and y = 3 km/h

The speed of the watercraft and the river are 5 km/h and 3 km/h respectively.

Formula used:-

Average speed = Total distance travelled/Total time taken

Calculation:-

Let Roshni travelled 'd' distance with a speed of 66 km/h

and while returning she covered the same distance 'd' with the speed of 92.4km/h 

Total distance covered = d + d = 2d

Let the time taken by Roshni wile going and retuning be T1 and T₂ respectively

By using the formula, 

Time = Distance/Speed

T₁ = $\frac{d}{66}$ and T₂ = $\frac{d}{92.4}$

Total time taken = T₁ + T2 = $\frac{d}{66}+\frac{d}{92.4}$

Average speed = $\frac{2d}{T_1+T_2}$

⇒ $\frac{2d}{\frac{d}{66}\ +\ \frac{d}{92.4}}$

⇒ 77km/h

The average speed of Roshni is 77km/h

Given:

Present age ratio = 7 : 9

After 10 years their age ratio = 19 : 23

Calculations:

Let their ages be 7x and 9y.

Then according to question after 10 years the ratio of their ages will be

⇒ (7x + 10)/(9x + 10)= 19/23

⇒ (7x + 10) × 23 = 19 × (9x + 10)

⇒ 161x + 230 = 171x + 190

⇒ 10x = 40

Hence, x = 4 

Now, their present are 7x = (7 × 4) = 28 and 9x = (9 × 4) = 36.

Therefore, the average age after 7 years = {(28 + 7) + (36 + 7)}/2 = 78/2 = 39 years

∴ The Required average age is 39 years.

Formula used:- $(a+b)^2=a^2+b^2+2ab$ and $(a-b)^2=a^2+b^2-2ab$

Calculation:- It is given that, $x-\frac{1}{x}=11$

On squaring both sides,

$\left(x-\frac{1}{x}\right)^2= \left(11\right)^2$

$x^2+\frac{1}{x^2}-2\times \frac{1}{x}\times x=121$

⇒$x^2+\frac{1}{x^2}-2=121$

⇒$x^2+\frac{1}{x^2}=123$ ----------------(i)

Squaring equation(i) on both sides,

$\left(x^2+\frac{1}{x^2}\right)^2=\left(123\right)^2$

⇒$x^4+\frac{1}{x^4}+2\times \frac{1}{x^2}\times x^2=15129$

⇒$x^4+\frac{1}{x^4}+2=15129$

⇒$x^4+\frac{1}{x^4}=15127$

The value of $x^4+\frac{1}{x^4}$ is 15,127

Formula used:- 

Discount = $\frac{Marked\ price\ -\ Selling\ price}{Marked\ price}$

Calculation**:-** 

It is given that Marked price(MP) = 2,900 and, Discount(D) = 37%

By using the formula of discount,

$D=\frac{MP\ -\ SP}{MP}$

$\frac{37}{100}=\frac{2900\ -\ SP}{2900}$

⇒ 2900 × 100 - 100 × SP = 2900 × 37 

⇒ SP = 29 × 100 -  29 × 37 

⇒ SP = 1827

The selling price of the item is Rs.1,827

Formula used:-

Volume = $\frac{4}{3}\pi r^3$

Calculation**:-**

Diameter = 2 × radius(r)

radius = 8.4 cm

Volume = $\frac{4}{3}\pi r^3$

Taking r = 8.4cm and $\pi = \frac{22}{7}$

Volume = $\frac{4}{3} \times \frac{22}{7}\times (8.4)^3$

Volume = 2483.712 cm3

The volume of the sphere is 2483.712 cm3

Given:-

Radius ratio = 2 : 3 and Height ratio = 5 : 3

Formula used:-

Volume of cylinder = $\pi r^2h$

Calculation**:-** 

Let the radius and height of cylinder-1 and cylinder-2 be r , h  and R , H respectively

As given,

r : R = 2 : 3 = $\frac{2}{3}$  and,

h : H = 5 : 3 = $\frac{5}{3}$

Let their volumes be V₁ and V₂, So

$V_1= \pi r^2h$ and $V_2=\pi R^2 H$

Ratio, $\frac{V_1}{V_2}=\frac{\pi r^2h}{ \pi R^2H}$

On reducing $\pi$ from numerator and denominator then by substituting the values of radius and heights,

$\frac{V_1}{V_2}=\frac{ 2^2\times5}{ 3^2\times3}$= $\frac{20}{27}$

⇒ V₁ : V₂ = 20 : 27

The ratio of volumes of two cylinders is 20 : 27

Formula used:- 

Average speed = Total distance/Total time taken

Calculation**:-** 

The time taken by man to cover 10 km is,

Using formula, Distance = Speed × Time

T₁ = Distance/Speed = $\frac{10}{12}\ km/h$

The time taken by man to cover 12 km is,

T2 = Distance/Speed = $\frac{12}{10}\ km/h$

Average speed = $\frac{Total\ distance}{T_1+T_2}$ = $\frac{10+12}{\frac{10}{12}+\frac{12}{10}}$

⇒ $\frac{22\times120}{100+144}$

⇒ $\frac{2640}{244}$

⇒ 10.81km/h

The average speed of the entire trip is 10.81 km/h.

Given:- 

Selling price = Rs.35,000  

Trade discount = 10%, Final selling price = 30,000

Formula used:- 

Discount = $\frac{Marked\ price - Selling\ price}{Marked\ price}$ 

Calculation**:-** 

The Selling price after a 10% trade discount will be-

SP = Marked Price - (discount %) × Marked Price

SP = 35,600 - (10% × 35,600)

⇒ SP = Rs. 32,040

The phone was sold at Rs. 30,000 

.·. Cash Discount = $\frac{Selling\ Price- Price\ at\ Sold}{Selling\ Price}$

⇒ $\frac{32,040-30,000}{32,040}$ = $\frac{2,040}{32,040}$

⇒ 0.0636

Percent Cash Discount = 100 × 0.06367

⇒ Percent Cash Discount = 6.367%

On rounding off, The Percent Cash Discount = 6.37%

The percent cash discount given after 10% trade discount is 6.37%.

Given:

Ratio of shared marbles between A and B = 4 : 5

Number of marbles with B = 10 more than A

Concept Used:

Marbles with B – Marbles with A = 10

Calculation:

Let the number of marbles with A be 4x and with B be 5x

According to the question,

⇒ 5x – 4x = 10

⇒ x = 10

Now, Marbles with A = 4x = 4 × 10 = 40

Hence, the share of marbles with A is 40