SSC CHSL Tier-1 2021: Official Paper (Held On : 10 June 2022 Shift 1) (Previous Year Paper)

The correct answer is "Insult".

Key Points

In the first place, we will take a look at the meaning of the given words: 

• Affront: something that you say or do that is insulting to somebody/something. (ऐसा कुछ जो आप कहते हैं या करते हैं जो किसी के लिए अपमानजनक है/कुछ।)
• Example: The suggestion that he may be required to change his clothes seems to affront him.
• Insult: to speak or act rudely to somebody; a rude comment or action. (किसी के साथ अशिष्टता से बात करना या कार्य करना; एक अशिष्ट ��िप्पणी या कार्रवाई)
• Example: When I didn't even receive a response to my question, I felt quite insulted.
• Apparently, the above elucidation shows that the words 'affront' and 'insult' are similar in their meaning.
• Hence, the correct synonym is: Insult​**

Additional InformationLets understand the implication of the remaining words:

• Depress: to make somebody unhappy and without hope or enthusiasm. (किसी को नाखुश और आशा या उत्साह के बिना बनाने के लिए)
• Example: I get so depressed just thinking about leaving home.
• Fall: to drop down towards the ground. (जमीन की ओर गिरना)
• Example: She suffered a terrible fall from her bicycle.
• Tolerate: to allow or accept something that you do not like or agree with. (किसी ऐसी चीज को अनुमति देना या स्वीकार करना जिसे आप पसंद नहीं करते या इससे सहमत नहीं हैं)
• Example: We must tolerate viewpoints that are dissimilar to our own in a joint family.

The correct answer is "queu".

Key Points

• The incorrectly spelt word if corrected results in the formation of 'queue'.
• Let us understand the meaning of the correctly formed words:
• Queue: a line of people, cars, etc., waiting for something or doing something.
• Example: He retrieved a tray and headed for the queue.
• Therefore, the only incorrectly spelt word is: Queu

Additional Information

• The words 'particular, recommend, and opposition' is correctly spelt.
• Let us take a look at the meaning of correctly spelt words:
• Particular: used to emphasize that you are talking about one specific person, thing, time, etc., and not about others.
• Example: A particular style of the outfit was what she desired.
• Recommend: to say that somebody/something is good and that somebody should try or use him/her/it.
• Example: I recommend you go on a vacation for a few days.
• Opposition: the feeling of disagreeing with something and the action of trying to change it.
• Example: The opposition party members were hurling insults at each other.

The correct answer is "As soon as we went for an afternoon siesta, my pet rabbit Tia dug a huge hole right in the middle of the lawn."

Key Points

• There is an error in the verb in the second part of this sentence.
• As we can see the sentence is talking about an incident that happened in the past. When referring to previous events or conditions that are finished and over, we use the simple past tense.
• Example: I watched a movie yesterday.
• Additionally, the use of the second form of the verb "went" clearly shows that the action that took place in the sentence has been completed.
• Thus, the application of "went" is correct.
• Furthermore, the verb "dig" is also used in its V2 form as "dug." In sentences, it is used to denote the simple past tense.
• Thus, the word "digged" is incorrectly placed in the sentence so it should be replaced with "dug".
• The correct sentence is: As soon as we went for an afternoon siesta, my pet rabbit Tia dug a huge hole right in the middle of the lawn.​

Additional Information

• The V2 form and V3 forms of "dig" are the same. "Dug" refers to the V3 format. In the past or present perfect tense, the verb "dug" is employed.
• Example: He dug the candies out of his backpack.
• "Dig" is applied as "have + dug" or "has + dug" in the present perfect tense.
• Example: The floor's tiles have been dug up and piled together by the man.
• If necessary, we use "had + dug" to express the past perfect tense.
• Example: After starting the garden, they set down their shovels close to the hole they had dug.

The correct answer is "Someone has picked my pocket."

Key Points

• The subject of the provided sentence is clearly being "acted upon" (or is in the passive form), so, we have to apply verbs according to the passive voice.
• Apparently, the sentence is in present perfect tense form as the event that is being talked about has already started in the past and is having an effect on the present (has + been), so we will use the following structure:
• Active Voice : Subject + has/have+ v3+ object
• Passive Voice: Object+ has/have+ been+ V3+ by + subject
• Example: Nikita has challenged Leena. (Active)
• Example: Leena has been challenged by Nikita. (Passive)
• Thus, the active voice of "My pocket has been picked" is "Someone has picked my pocket".
• Hence, the active voice is: Someone has picked my pocket.​

Additional InformationLet us take a look at the remaining sentences:

• Someone’s pocket has been picked by me - This is not an active voice form as (by) is applied here.
• Someone had my pocket picked - This is in the past perfect tense (had) and we require present perfect tense (has) so this sentence is also incorrect.
• I picked someone’s pocket - This sentence is in the simple past tense (picked) and we need present perfect tense (has) so this sentence is also not appropriate.

The correct answer is "the fastest".

Key Points

• The underlined segment does need to be substituted.
• A superlative adjective conveys an attribute's extreme or maximum degree. To convey the exceptional quality of one thing among a group of things, we employ a superlative adjective (not two things).
• Evidently, a race is a competition between more than two people. Thus, we will use a superlative degree of comparison.
• Example: The lady in the main office is the smartest employee in this department.
• Furthermore, the adjective's superlative form is followed by the article "the."
• That is why "the fastest" is appropriate to apply in the sentence.
• Therefore, the substituted sentence is: She should run the fastest to win the race.​

Additional Information

• Positive, comparative, and superlative degrees of comparison are the three categories for degrees of comparison.
• The degree of comparison of "fast" is:
• Positive degree: Fast
• Comparative degree: Faster
• Superlative degree: Fastest

The correct answer is "Esurient".

Key Points

Let us understand the meaning of these words first:

• Ravenous: The word "ravenous" connotes extreme hunger and suggests handling food or other sources of satiation in an aggressive or grabbing manner. (अत्यधिक भूख और आक्रामक या हथियाने के तरीके से भोजन या तृप्ति के अन्य स्रोतों को संभालने का सुझाव देता है।)
• Example: Since leaving her house, Ekta had not eaten anything, and she was now however ravenous.
• Esurient: It means hungry or greedy. (अत्यधिक भूख)
• Example: It would be risky to entrust your esurient sister with the birthday cake that you baked.
• Apparently, the above elucidation shows that the words 'esurient' and 'ravenous' are similar in their meaning.
• Hence, the correct synonym is: Esurient​

Additional InformationLets understand the implication of the remaining words:

• Commodious: roomy and comfortable. (विशाल और आरामदायक)
• Example: His home is enormous and commodious, and it is elegantly and lavishly furnished.
• Iniquitous: very unfair and morally wrong. (बहुत अनुचित और नैतिक रूप से गलत)
• Example: This is an iniquitous system that permits a person to pass away because they lack the funds to pay for medical care.
• Scrumptious: (of a person) very attractive. ( )
• Example: For our grandparents' anniversary, I made a delicious strawberry cake.

The correct answer is "To try extremely hard to do something".

Key Points

• The idiom ‘strain every nerve’ refers to making the greatest possible effort.
• This expression is typically used to describe someone who, put forth their best attempt (to do something).
• As the definition of the term "strain" suggests, it is "to make a great mental or physical effort to do something."
• Example: That book was on the highest shelf, and despite straining every nerve in my body to reach it, I was unable.
• To find the perpetrator, they would strain every nerve.
• Thus, the correct meaning of the given idiom is: To try extremely hard to do something.​

Additional InformationLet's look at the meaning of some idioms with the word "nerve":

The correct answer is "out of".

Key Points

• In the first place, "out of my mind" is a phrase that means 'stop thinking about (something)'.
• As we can see, the sentence is talking about an idea about which he/she could not stop thinking. Thus, the application of 'out of mind' is appropriate for this sentence.
• Example: Put that naughty thought out of your mind.
• Example: He took his glasses out of his bag.
• Therefore, all other alternatives are incorrect except "out of".
• The complete sentence is: I never could quite get the idea out of my mind that I should do some teaching, yet I felt a great deal of satisfaction with the pastorate.​

Additional Information

• Let us understand the implication of the remaining options:
• The word "out act" means to outperform other actors in a play, movie, or other performance by being a better actor than them.
• Example: It's important for supporting actors to avoid outacting the superstars.
• The word "outcome" denotes the result or effect of an action or an event.
• Example: Your result is the outcome of your hard work.
• The word "outcast" means a person who is no longer accepted by society or by a group of people.
• Example: He was an outcast in high school.

The correct answer is "wiry".

Key Points Let us understand the meaning of the correct word:

• Wiry: (used about a person) small, lean, and thin but tough.
• Example: John's physique is athletic and wiry.
• As we know, a noun or pronoun is modified or described by an adjective. Adjectives can be used to describe characteristics of something or someone on their own or in contrast to another object.
• Example: A smart girl.
• Example: A fit boy.
• Evidently in the above-mentioned sentence, "wiry" is enhancing the subject of the sentence which is 'he'.
• From the above explanation, we can decipher that ‘wiry' fits the best for the given sentence. As the words "lean, tough, sinewy" are synonyms of "wiry".
• Hence, the complete sentence is: After wearing the complete sports gear, he looked wiry.​

Additional Information

• Let us understand the meaning of these words first:
• A toughie: a person who is tough and determined.
• Example: Ben was a toughie in the competition.
• Wirey: hair that is thin and curly.
• Example: Julia has wirey hair.
• Dewy: (of a person's skin) appearing soft and lustrous.
• Example: Apply the moisturizer every day for a radiant, dewy complexion.

The correct answer is "a, d, c, b"

Key Points

• The given stanza is talking about an English poet named PB Shelly so, the first sentence must be the introductory sentence of that poet.
• Sentence a, that is, ' PB Shelly was an English poet' is introducing the main subject of this paragraph. Thus, it is the first sentence.
• Sentence d, that is, 'Born into a wealthy upper-class family' is mentioning the birth and circumstances of the poet. So, this will be the second sentence.
• Sentence c, that is, 'He detested tyranny and institutionalized servitude' is continuing the story of PB Shelly and telling us how he hated tyranny. That is why this will be the third sentence.
• Sentence b, that is, 'He was expelled from Oxford for publishing a tract entitled "The Necessity of Atheism"' is the conclusive sentence and the remaining one. Thus, this will be the last sentence.
• Hence, the correct answer is: a, d, c, b​

Additional Information

• As can be seen, the question given above concerns para jumbles. It describes a paragraph in which the sentences are mixed up and each is assigned a letter or number as a label.
• The following are some easy methods for resolving ParaJumbles:
• Determine the passage's aim.
• Find the keywords and indicators.
• Use nouns, pronouns, and antecedents to your advantage.

The correct answer is "much more interesting".

Key Points

• This sentence needs improvement.
• We can't say "more better" because "better" is the comparative version of "good". So we may now say "much better." In order to convey that something is desirable, we can say "much better."
• Additionally, "much" is used to describe a lot or a bunch of anything. The comparative degree of "much or many" is the word "more." It denotes "a larger quantity" of something.
• In the above-mentioned sentence, "movie" is the noun and "interesting" is modifying "movie". So, if we will put "better" with "interesting" then the sentence will become redundant and ultimately incorrect.
• Thus, we will apply "much more interesting" in the sentence to improve it.
• The complete sentence is: The movie I watched last Saturday was much more interesting than the one I watched today.**​​

Additional Information

• The degrees of comparison refer to how an adjective alters its form to demonstrate comparison.
• Positive, comparative, and superlative degrees of comparison are the several categories for degrees of comparison.
• The superlative form of "many/much" is "most," while the comparative form is "more."

The correct answer is "fassinate".

Key Points

• The incorrectly spelt word if corrected results in the formation of 'fascinate'.
• Let us understand the meaning of the correctly formed words:
• Fascinate: to attract or interest somebody very much.
• Example: I was always fascinated by European culture.
• Therefore, the only incorrectly spelt word is: Fassinate

Additional Information

• The words 'humiliate, ignorant, and intelligent' are correctly spelt.
• Let us take a look at the meaning of correctly spelt words:
• Humiliate: to make somebody feel very embarrassed.
• Ignorant: not knowing about something.
• Intelligent: having or showing the ability to understand, learn and think; clever.

The correct answer is 'Read between the lines'.

Key Points

• The best option that explains the highlighted text is 'Read between the lines'.
• It means 'look for or discover a meaning that is implied rather than explicitly stated'. (किसी ऐसे अर्थ की तलाश या खोज करें जो स्पष्ट रूप से बताए जाने के बजाय निहित हो)
• Example: Reading between the lines, I think Clare needs money.

Correct Answer: Read between the lines.

The correct answer is "persistence".

Key Points

• The words 'parsistance, persistance, and parcistanse' are incorrectly spelt, holding no appropriate meanings except 'persistence'.
• Let us take a look at the meaning of the correctly spelt words:
• Persistence: the trait that enables someone to carry on with something they are trying to do, even when it is challenging or is opposed by others.
• Example: She eventually got what she sought after being rewarded for her persistence.
• She has been quite persistent in her efforts.
• Therefore, the only correctly spelt word is: Persistence

Additional InformationSome of the synonyms of the correctly spelt word are:

• Perseverance
• Tenacity
• Determination
• Resolve
• Resolution
• Resoluteness
• Patience
• Endurance

The correct answer is "Outlandish".

Key Points

• The given group of words needs a one-word substitute.
• The word "outlandish" means very strange or unusual; straying from the usual, customary, or anticipated.
• It also signifies weird, uncommon, peculiar, eccentric, erratic, odd, and challenging to comprehend or accept.
• Example: Her opinions on how to raise children are somewhat outlandish.
• The show became increasingly outlandish as it went on.
• Thus, the word "outlandish" is the best one-word substitute for the group of words "looking or sounding foreign, bizarre, strange, unfamiliar".
• The one-word substitute is: Outlandish​

Additional InformationLets understand the meaning of the remaining words:

• Outlaw: (used in past times) a person who has done something illegal and is hiding to avoid being caught.
• Example: Outlaw Robin Hood dwelt in the woods and robbed the wealthy to distribute to the needy.
• Outlay: money that is spent, especially in order to start a business or project.
• Example: The program will require a 3.6 million dollar upfront outlay.
• Outlast: to continue to exist or to do something for a longer time than somebody/something.
• Example: He won one of the best tennis matches ever, outlasting his opponent.

The correct answer is "returned"

Key Points

• In the given options, the most appropriate answer is 'returned.'
• The given sentence is grammatically incorrect.
• In the given sentence, the verb has should be removed.
• Has is used in the third person singular pronoun.
• Example: She has a great personality.​
• ​ Therefore, the correct answer is option 3.

​

​Correct sentence:  She returned from Delhi a month ago.

The correct answer is "exciting"

Key Points

• Tedious means not interesting or exciting.
• Example: Learning a new computer program can be a tedious process.
• Exciting means causing a feeling of happiness or enthusiasm.
• Example: It was a really exciting match.
• Therefore, the most appropriate antonym of the given word 'tedious' is 'exciting.'

​ 

Additional Information

• Let's look at the usage and meaning of the other words given in the options.

The correct answer is "to do something too soon"

Key Points

• The most appropriate meaning of the given idiom is 'to do something soon.'
• Jump the gun: to do something too soon, without thinking carefully about it.
• Example: Some booksellers have jumped the gun and decided to sell it early.
• Therefore as per the points mentioned above, we find that the correct answer is option 4.

​ 

Additional Information

• Let's look at the usage and meaning of some idioms.

The correct answer is "clearance" 

Key Points

• The siege means the act of surrounding a place by an armed force in order to defeat those defending it.
• Example: The town was under siege.
• Marked option clearance means the process of removing things you do not want from a place.
• Example: They specialize in house clearances after a resident has died.
• Therefore, the most appropriate antonym of the given word 'siege' is 'clearance.'

​ 

Additional Information

• Let's understand the usage and meaning of the other options.

The correct answer is "indigent"

Key Points

• Destitute means without money, food, a home, or possessions.
• ​Example: The floods left thousands of people destitute.
• Marked option indigent means very poor.
• Example: We are a non-profit agency that provides legal services to indigent clients.
• Therefore, the correct answer is option 3.

​ 

Additional Information

• ​Let's understand the usage and meaning of the other options.

The correct answer is "massive"

Key Points

• In the given passage, the most appropriate answer for blank no. 1 is 'massive.'
• Massive: very large in size, amount, or number.(आकार, मात्रा या संख्या में बहुत बड़ा)
• Example: They have a massive house.
• Therefore, as per the points mentioned above, we find that the correct answer is option 2.

​ 

Additional Information

• Let's look at the meaning of other words given in the options.
• Lesser: not as great in size, amount, or importance. (आकार, मात्रा या संख्या में बहुत बड़ा नहीं)
• Example: A lesser man might have given up at that point.
• Trivial: has little value or importance. (इसका बहुत कम मूल्य या महत्व है)
• Example: I don't know why he gets so upset about something so trivial.
• Minor: has little importance, influence, or effect. (इसका महत्व, प्रभाव या प्रभाव बहुत कम है)
• Example: It is only a minor problem.

The correct answer is "source"

Key Points

• In the given passage, the most appropriate answer for blank no. 2 is 'source.'
• Source: the cause of something.
• Example: Oranges are a good source of vitamin C.
• Therefore, as per the points mentioned above, we find that the correct answer is **option 1.**​

​ 

Additional Information

• Let's look at the meaning of other words given in the options.​

The correct answer is "construction"

Key Points

• In the given passage, the most appropriate answer for blank no. 3 is 'construction'
• Construction: the work of building or making something.
• Example: She works in the construction industry.
• Therefore, as per the points mentioned above, we find that the correct answer is option 3.

Additional Information

• Let's look at the meaning of other words given in the options.

The correct answer is "certainly"

Key Points

• In the given passage, the most appropriate answer for blank no. 4 is 'certainly'
• Certainly: used when agreeing or disagreeing strongly to a request. 
• Example: The design certainly looks good on paper.
• Therefore, as per the points mentioned above, we find that the correct answer is option 1.

​ 

Additional Information

• Let's look at the meaning of other words given in the options.

The correct answer is "more, more"

Key Points

• In the given passage, the most appropriate answer for blank no. 5 is 'more, more.'
• More: a larger or extra number or amount. 
• Example: Add some more cream to the sauce.
• Therefore, as per the points mentioned above, we find that the correct answer is option 2.

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 4 is eliminated.

• The second last letter of the word is "

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

"→ Options 1, 3 are 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.

The pattern followed here is:

Hence, ‘QIS’ 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:

6. Peasant 3. Pedestrian 4. Perceive 5. Perfect 1. Perilous 2. Pessimist

Hence, '6, 3, 4, 5, 1, 2' is the correct answer.

Given: M _ W Q U N S _ Q U O S W _ U P S _ Q _

Let's check each option:

1) S Q U W W → M S W Q U - N S Q Q U - O S W U U - P S W Q W

2) S Q W U W → M S W Q U - N S Q Q U - O S W W U - P S U Q W

3) S W Q W U → M S W Q U - N S W Q U - O S W Q U - P S W Q U

• Here we can see a pattern.
• 1^st letter is increasing by +1, rest letters are same.
• M + 1 = N; N + 1 = O; O + 1 = P

4) S W Q U W → M S W Q U - N S W Q U - O S W Q U - P S U Q W 

Hence, ‘S W Q W U  ’ is the correct answer.

The logic followed here:

The second number is the average of the digits of the first number.

1. 678 : 7 → 678 → (6 + 7 + 8) ÷ 3 = 21 ÷ 3 = 7

2. 282 : 6 → 282 → (2 + 8 + 2) ÷ 3 = 12 ÷ 3 = 4 ≠ 6

3) 366 : 5 → 366 → (3 + 6 + 6) ÷ 3 = 15 ÷ 3 = 5

4) 546 : 5 → 546 → (5 + 4 + 6) ÷ 3 = 15 ÷ 3 = 5

Hence, option 2 is the odd one.

When the folder paper is opened, the cuts will appear as follows:

Hence, option 1 is the correct answer.

BODMAS RULE:

Let's check each option:

1. +, ×, −, +, ÷, =

Given equation: 42 * 19 * 4 * 69 * 81 * 9 * 58

After interchanging the signs, we get:

⇒42 + 19 × 4 - 69 + 81 ÷ 9 = 58

⇒42 + 19 × 4 - 69 + 9 = 58

⇒42 + 76 - 69 + 9 = 58

⇒58 = 58

2. ÷, −, ×, =, ×, +

Given equation: 42 * 19 * 4 * 69 * 81 * 9 * 58

After interchanging the signs, we get:

⇒42 ÷ 19 - 4 × 69 = 81 × 9 + 58

⇒2.21 - 4 × 69 = 729 + 58

⇒2.21 - 276 = 787

⇒-273.79 ≠ 787

3. −, −, =, ×, ÷, −

Given equation: 42 * 19 * 4 * 69 * 81 * 9 * 58

After interchanging the signs, we get:

⇒42 - 19 - 4 = 69 × 81 ÷ 9 - 58

⇒19 = 69 × 9 - 58

⇒19 = 621 - 58

⇒19 ≠ 563

4. ×, −, =, +, ×, −

Given equation: 42 * 19 * 4 * 69 * 81 * 9 * 58

After interchanging the signs, we get:

⇒42 × 19 - 4 = 69 + 81 × 9 - 58

⇒798 - 4 = 69 + 9 - 58

⇒794 ≠ 20

Hence, option 1 is the correct answer.

BODMAS RULE:

Let's check each option:

1. ×, −, =, +

Given equation: 40 * 2 * 15 * 30 * 5

After interchanging the signs, we get:

⇒40 × 2 - 15 = 30 + 5

⇒80 - 15 = 35

⇒65 ≠  35

2. ×, =, −, −

Given equation: 40 * 2 * 15 * 30 * 5

After interchanging the signs, we get:

⇒40 × 2 = 15 - 30 - 5

⇒80 = 15 - 35

⇒80 ≠ -20

3. ÷, =, +, −

Given equation: 40 * 2 * 15 * 30 * 5

After interchanging the signs, we get:

⇒40 ÷ 2 = 15 + 30 - 5

⇒20 = 45 - 5

⇒20 ≠ 40

4. ÷, +, =, +

Given equation: 40 * 2 * 15 * 30 * 5

After interchanging the signs, we get:

⇒40 ÷ 2 + 15 = 30 + 5

⇒20 + 15 = 35

⇒35 = 35

Hence, option 4) is the correct answer.

The logic followed here is:

Second number is six times of the first number.

1. 40 : 240 → 40 × 6 = 240

2) 25 : 150 → 25 × 6 = 150

3. 35 : 280 → 35 × 6 = 210 ≠ 280

4) 30 : 180  → 30 × 6 = 180

Hence, option 3 is the odd one.

The logic followed here is:

(First number × 4) - 9 = Second number

27 : 99 → (27 × 4) - 9 = 108 - 9 = 99

13 : 43 → (13 × 4) - 9 = 52 - 9 = 43

Similarly,

21 : ? → (21 × 4) - 9 = 84 - 9 = 75

Hence, option 1 is the correct answer.

The logic followed here is:

(First number - 1)² = Second number

1. 12 : 121 → 12 - 1 = 11 → 11² = 121

2) 6 : 25 → 6 - 1 = 5 → 5² = 25

3) 9 : 100 → 9 - 1 = 8 → 82 = 64 ≠ 100

4) 8 : 49 → 8 - 1 = 7 → 72 = 49

Hence, option 3 is the odd one.

The logic followed here is:

(Second number + First number) × (Second number - First number) = Third number

First row: 5, 9, 56 → (9 + 5) × (9 - 5) = 14 × 4 = 56

Second row: 4, 7, 33 → (7 + 4) × (7 - 4) = 11 × 3 = 33

Similarly,

Third row:10, 11, ? → (11 + 10) × (11 - 10) = 21 × 1 = 21

Hence, option 4 is the correct answer.

When the folder paper is opened, the cuts will appear as follows:

Hence, option 1 is the correct answer.

The logic followed here is:-

• MAP

• The word formed is 'NBQ' but in code language, it is written backwards.

• ​Therefore, code = QBN

• LEAP

• The word formed is 'MFBQ' but in code language, it is written backwards.

• Therefore, code = QBFM

• Similarly, CROWN

• The word formed is 'DSPXO' but in code language, it is written backwards.

• Therefore, code = OXPSD

Hence, "option 2" is the correct answer.

Statements:

Some boxes are houses.

Some houses are tents.

Some tents are castles.

Venn diagram:

Conclusions:

I. Some castles are houses. → Does not follow (because some castles are tents, not houses)

II. Some tents are houses. → Follows (because some tents are definitely houses because some houses are tents as given in the statements.)

III. Some castles are boxes. → Does not follow (because no castle is box.)

Hence, “Only conclusion II follows”.

The logic followed here is:

1) P is taller than only U and R 

⇒ P > U and R 

2. R is taller than U 

⇒ P > R > U

3) Q is taller than S but shorter than T 

⇒ T > Q > S

4) T is not the tallest among all 

So, the correct order will be ⇒ V > T > Q > S > P > R > U 

So, there are two persons between Q and R.

Hence, the option 3 is the correct answer.

The logic followed here is:

(First number × Second number) - 3 = Third number

First row- 5, 16, 77 → (5 × 16) - 3 = 80 - 3 = 77

Third row- 8, 19, 149 → (8 × 19) - 3 = 152 - 3 = 149

Similarly,

Second row- 13, 12, ? → (13 × 12) - 3 = 156 - 3 = 153

Hence, option 2 is the correct answer.

The logic followed here is :

6 : 40 =​6² +4 = 36 + 4 = 40

12 : 148 = 12²+4 = 144 + 4 = 148

3 : 13 =3² +4 = 9 + 4 = 13

Hence, 12 is the correct answer.

Given :

The six colors are Red, Green, Blue, Yellow, Black, White

Both black and yellow are common in both the dices. when we move clockwise then blue is opposite to white because yellow, red and black are adjacent to blue so they can't be opposite to blue

Hence, white is the correct answer.

Explanation :

GAINS : SNAIG

 In the same way,

ANVIL : LIVNA

Similarly,

INBOX : XOBNI

Hence, XOBNI is the correct answer.

Explanation :

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

The series is alternate series. so, the next figure in the series will be option 4.

Hence, option 4  is the correct answer.

Explanation :

Hence, 593 is the correct answer.

Explanation :

Arranging the given words as per they appear in english alphabet dictionary :

4. Decadent
5. Dictation
6. Dictator
7. Distilled
8. Distribute

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

Explanation :

When the folded paper is open, the cut will appear as follows :

Hence, Option 1) is the correct answer.

Explanation :

“EASY” is written as “YAES”

“KIND” is written as “DIKN”

Similarly,

SOME is written as EOSM

Hence, EOSM is the correct answer.

Given: 

Concept Used:

Arithmetic Mean = ∑(f_i x_i )/n

Calculations:

Arithmetic mean = $\frac{0\times 3+1\times 2+ 2 \times 2+3\times 4+ 4 \times 6+ 5\times 7+ 6\times 7+ 7\times5+8\times 3+ 9\times 4+ 10\times 2}{3+2+2+4+6+7+7+5+3+4+2}$

Arithmetic mean = $\frac{234}{45}=5.2$

∴ The arithmetic mean of the given data is 5.2

Given:

\(\left( {\frac{1}{2} × \frac{1}{2} × \frac{1}{2}} \right) + \left( {\frac{3}{2} × \frac{3}{2} × \frac{3}{2}} \right) \)+ (6 × 6 × 6) + \(3\left( {\frac{1}{2} + \frac{3}{2}} \right)\left( {\frac{1}{2} + 6} \right)\left( {6 + \frac{3}{2}} \right)\)

Calculation:

⇒ \(\left( {\frac{1}{2} × \frac{1}{2} × \frac{1}{2}} \right) + \left( {\frac{3}{2} × \frac{3}{2} × \frac{3}{2}} \right) \)+ (6 × 6 × 6) + \(3\left( {\frac{1}{2} + \frac{3}{2}} \right)\left( {\frac{1}{2} + 6} \right)\left( {6 + \frac{3}{2}} \right)\)

⇒ $\frac{1}{8}+\frac{27}{8}+216+3\times 2\times \left(\frac{1+12}{2}\right)\times \left(\frac{12+3}{2}\right)~$

⇒ $\frac{7}{2}+216+6\times \frac{13}{2}\times \frac{15}{2}$

⇒ 216 + (592/2)

⇒ $\frac{7}{2}+216+\frac{585}{2}$

⇒ $216+296=512$

∴ The simplified value of this expression is 512

Given:

Cost price Of 5 oranges = Rs. 15

The selling price of 3 oranges = Rs. 5

Concept Used:

Loss = C.P - S.P

Loss percent = (loss/C.P) × 100 percent

Calculation:

The cost price of  5 oranges = Rs.15

Cost price of 1 orange =  15/5 = Rs. 3

The cost price of 3 oranges = 3×3 = Rs.9

The selling price of 3 oranges = 5

Loss %= $(C.P - S.P) × 100 \over C.P$

Loss % = (9 - 5) × (100/9) %

Loss % = 400/9 % = 44 $4\over 9$ %

∴ The loss percentage is  44 $4\over 9$ %

Given:

Speed₁ = 450 meter/min

speed₂ = 1.4 × (speed₁)

The total  distance traveled in one hour = 33.3 km

Concept Used:

Average  speed = total distance/total time

Calculation:

Speed₁ = 450 m/min = 450 × 3/50 km/h = 27 km/ h

Speed₂ =  1.4 × (speed₁) = 1.4 × 27 = 37.8 km/h

Total distance traveled in 1 hour = 33.3 km

Let the distance travelled at two speeds be x and (33.3 – x) km

⇒ T₁ + T₂ = 1 hour

⇒ x/S₁ + (33.3 – x)/S₂ = 1

⇒ x/27 + (33.3 – x)/27×1.4 = 1

⇒ (33.3 – x)/ 27 × 1.4 = 1 – x/27

⇒ (33.3 – x)/1.4 = 27 – x

⇒ 33.3 – x = 27 × 1.4 – 1.4x

⇒ 0.4x = 27 × 1.4 – 33.3

⇒ x = (37.8 – 33.3)/0.4

⇒ x = 4.5/0.4 = 11.25 km

∴ The distance traveled by Sunita at a lower speed is 11.25 km.

 Shortcut TrickCalculation:

Now,

Ratio of time = 4.5 : 6.3 = 5 : 7

⇒ (5 + 7) = 12 units = 60 min

⇒ 1 unit = 5 min

So 5 units = 25 min

So the distance was covered at a lower speed = 27 × (25/60) 

⇒ 45/4 = 11.25 km

∴ The correct answer is 11.25 km.

Given:

Number of men = 40

Number of days taken by 40 men to complete the work =  18 days 

Concept Used:

 1 day's work = $M1D1\over W1$ = $M2D2\over W2$

Calculation:

⇒ Let the work be 1 unit.

⇒ 40 men complete the work in 18 days.

⇒ So, Their 1 day's work = $\frac{1}{18}$

⇒ Then, Their 9 day's work = $\frac{9}{18}=\frac{1}{2}$

⇒ Remaining work = $1-\frac{1}{2}=\frac{1}{2}$

⇒ New number of men = 40 + 5 = 45

⇒ $M1D1\over W1$ =$M2D2\over W2$

⇒ $40 × 18\over1$ =$45 × D2 \over 1/2$

⇒ D₂ = 8 days

∴ The time taken to complete the remaining work is 8 days.

Alternate MethodCalculation:

According to the question:

⇒ 40 × 9 + 45 × n = 40 × 18

⇒ 45 × n = 40 × 9

⇒ n = 8 days

∴ The correct answer is 8 days.

Given:

Interest for the 1^st year = Rs 400

Interest for the 2^nd year = Rs 420

Concept used:

When Time is one year, then

Interest = $\frac{Principal\times Rate}{100}$

Calculation:

Interest on Rs.400 for 1 year(2^nd year) = Rs.420 – Rs.400 = Rs.20

⇒ Rate = $\frac{Interest \times 100}{Principal}$

⇒ Rate = $\frac{20\times 100}{400}$

⇒ Rate = 5%

Interest on the sum for the first year = Rs.400

⇒ Sum = $\frac{Interest \times 100}{Principal}$

⇒ Sum = $\frac{400\times 100}{5}$ = Rs.8000

∴ The correct answer is Rs.8000.

Given:

Salary spent on food = 20%

Salary spent on charity = One-fourth of the remaining salary

Savings = Rs. 9600

Concept Used:

Salary = Expenses + Savings 

Calculation:

Let the man's salary be Rs. x

The money spent on food =  20% of x = $\frac{20}{100}× x = \frac{x}{5}$

Remaining amount = $x-\frac{x}{5}=\frac{4x}{5}$

Money spent on charity = $\frac{1}{4}× \frac{4x}{5}=\frac{x}{5}$

Remaining amount = $\frac{4x}{5}-\frac{x}{5}=\frac{3x}{5}$

According to the question,

⇒ 9600 = $\frac{1}{2}× \frac{3x}{5}$

⇒ x = 9600 × (10/3) = Rs.32000

∴ The monthly salary is Rs.32,000

Given:

Radius = 35 cm

Angle subtends at center (θ) = 36° 

Concept Used:

Length of an arc (l) = 2πr × (θ/360°)

Calculation:

Length of arc =  2πr × (θ/360°)

Length of an arc = $2× \frac{22}{7} × 35× \frac{36}{360}$

Length of arc = 22 cm

∴ The length of an arc of a circle is 22 cm.

Concept Used:

If 4 numbers a, b, c, and d are in proportion then

⇒ $\frac{a}{b}=\frac{c}{d}$

Calculation:

Let the third proportional be x

⇒ 4 : 15 :: x : 24

⇒ $\frac{4}{15}=\frac{x}{24}$

⇒ $x=\frac{4}{15}\times 24$

⇒ $x=\frac{32}{5}$

 Thus, the third proportional to 4, 15, and 24 is $\frac{32}{5}$

Additional Information 

We must keep this in mind that,

When we are asked about a third proportion, 

Then that number will be 3^rd in position.

Also if when asked for a fourth proportion, 

Then that number will be 4^th in position.

Concept Used:

tan$\frac{x}{2} = \frac{{1 - \cos x}}{{\sin x}}$

Calculation:

⇒ tan$\frac{x}{2} = \frac{{1 - \cos x}}{{\sin x}}$

⇒ tan (45°/2) =  $1 - cos 45° \over sin 45°$

⇒ tan 22.5° = $1 - \frac{1}{√2} \over \frac{1}{√2}$

⇒  tan 22.5° = $√ 2 - 1 \over √ 2$ × $√2$

⇒  tan 22.5° = √2 - 1 

 Hence, the value of tan 22.5° is $√2 -1$

Given:

Concept Used:

Average = Sum of total terms ÷ No. of terms

Calculation:

The amount invested in raw material in the year 1997 = 375 lakhs

The amount invested in raw material in the year 1998 = 330 lakhs

The amount invested in raw material in the year 1999 = 525 lakhs

Average amount invested during these 3 years = (375 + 330 + 525) ÷ 3

⇒ 1230 ÷ 3 = 410 lakhs

∴ The average amount invested in raw materials from year 1997 to 1999 is Rs 410 Lakhs

Given:

42 ÷ 2 + a × 3 − 22 = 8

Concept Used:

Calculation:

⇒ 42 ÷ 2 + a × 3 − 22 = 8

⇒ 21 + a × 3 – 22 = 8

⇒ 21 + 3a – 22 = 8

⇒ 3a – 1 = 8

⇒ 3a = 9

⇒ a = 9 ÷ 3 = 3

Hence, the value of a is 3.

Given:

Average marks of 7 Children = 20

Average marks of 3 children = 45

Average marks of 4 children = 15

Average marks of 2 children = 0

Concept Used:

Average = Sum of all terms ÷ Number of terms

Sum of n terms = Average × Number of terms

Calculation:

Marks obtained by 7 children = 20 × 7 = 140

Marks obtained by 3 children = 45 × 3 = 135

Marks obtained by 4 children = 15 × 4 = 60

Marks obtained by 2 children = 0 × 2 = 0

Total marks obtained by 16 children = 140 + 135 + 60 + 0 = 335

Average marks of 16 children = 335 ÷ 16 = 20.9

∴ The Average  marks of 16 children are 20.9

Given:

Marked Price of machine = Rs 54,000

Discount on MP = 10%

Discount on making cash payment = 5%

Concept Used:

Selling Price = Marked Price × {1 - (d/100)}

Calculation:

Applying a discount of 10%,

⇒ Selling Price = 54000 – 10% of 54000

⇒ Selling Price = $54000-\frac{10}{100}× 54000=54000-5400=48,600$ Rs

Applying a discount of 5% on cash payment,

⇒ Selling Price = 48600 – 5% of 48600

⇒ Selling Price = $48600-\frac{5}{100}× 48600=48600-2430=46,170$ Rs

∴ The customer has to pay the amount of Rs 46,170 in cash for the machine.

Alternate MethodCalculation:

First discount = 10%; Second discount = 5%

S.P = 54000 × 90% × 95%

S.P = Rs.46,170

∴ The correct answer is Rs.46,170.

Given:

Length of room = 7 m

Breadth of room = 4 m

Height of room = 9 m

Rate of whitewashing = Rs 7.50 per m²

Concept Used:

Area of four walls of room = 2h (l + b)

Area of ceiling = l × b

Calculation:

Area of four walls of room = 2h (l + b)

Area of four walls of room = 2 × 9 (7 + 4)

⇒ 18 × 11 = 198 m²

Area of ceiling = l × b

Area of ceiling = 7 × 4 = 28 m²

Total area of four walls and ceiling = 198 + 28 = 226 m²

Now, the cost of whitewashing the walls and ceiling = 226 × 7.50 = Rs.1,695

∴ The price for whitewashing the walls of the room and the ceiling is Rs.1,695

Given:

Successive Discounts = 5%

Marked Price of an article = Rs.80

Concept Used:

Selling Price = Marked price × {1 - (d/100)}

Calculation:

After the first discount of 5%,

Selling Price = 80 – 5% of 80

Selling Price = 80 - (5/100) × 80 = 80 - 4 = 76

After the second discount of 5%,

The Final Selling Price = 76 – 5% of 76

Final Selling Price = 76 - (5/100) × 76 = 76 - 3.8 = Rs.72.20

∴ The correct answer is Rs.72.20.

Alternate MethodCalculation:

⇒ S.P = 80 × 95% × 95%

⇒ S.P = Rs.72.2

∴ The correct answer is Rs.72.20.

Concept Used:

Divisible by 15 = number should be divisible by 3 and 5

Divisible by 3 = sum of the digits should be divisible by 3.

Divisible by 3 = Unit digit should be either 5 or 0.

Calculation:

From the options:

⇒ 2595 = 2 + 5 + 9 + 5 = 21

So, 21 is divisible by 3, and the unit digit is 5, so it will be divisible by 5

So, 2595 will be divisible by 15

⇒ 3195 = 3 + 1 + 9 + 5 = 18

So, 18 is divisible by 3 and the unit digit is 5, so it will be divisible by 5

So, 3195 will be divisible by 15

⇒ 3465 = 3 + 4 + 6 + 5 = 18

So, 18 is divisible by 3 and the unit digit is 5, so it will be divisible by 5

So, 3465 will be divisible by 15

⇒ 2995 = 2 + 9 + 9 + 5 = 25

So 25 is not divisible by 3 and the unit digit is 5, so it will be divisible by 5

So 2995 will not be divisible by 15

∴ The correct answer is 2995.

Given:

sin θ = $\frac{{\sqrt 3 }}{2}$

Concept Used:

 cos (90° + θ) = - sin θ

Calculation:

⇒ Sin θ = $\frac{{\sqrt 3 }}{2}$

⇒ Sin θ = Sin 60°

⇒ θ = 60°  

Now, cos 3θ = cos (3 × 60) = cos 180° 

⇒ cos (90 + 90)   (As cos (90° + θ) = - sin θ)

⇒ - sin 90° = - 1

Hence, the value of cos $3θ$ is –1

Given:

(5 × 5 × 5 × 5 × 5 )5 × (5 × 5 × 5)5 ÷ 5 = (125)?

Concept Used:

a^x × a^y = a^{x + y}

Calculation:

⇒ (5 × 5 × 5 × 5 × 5 )5 × (5 × 5 × 5)5 ÷ 5 = (125)^?

⇒ (5 × 5 × 5)⁵ × (5 × 5)⁵ × (125)⁵ ÷ 5 = (125)^?

⇒ (125)^{5 + 5} × $\frac{5^5\times 5^5}{5}$ = (125)^?

⇒ (125)¹⁰ × 125 × 125 × 5¹ × 5² = (125)^?

⇒ (125)^{10 + 2 + 1} = (125)^?

⇒ (125)¹³ = (125)^?

∴ The correct answer is 13.

Given:

Concept Used:

Percentage Increase = (Increase ÷ Original Quantity) × 100

Calculation:

Production in the year 2011 = 40 lakh tonnes

Production in the year 2012 = 30 lakh tonnes

Difference between 2011 and 2012 as production fall = 40 – 30 = 10 lakh tonnes

Production in the year 2013 = 50 lakh tonnes

Difference between 2012 and 2013 as production rise = 50 – 30 = 20 lakh tonnes

Production in the year 2014 = 20 lakh tonnes

Difference between 2013 and 2014 as production fall = 50 – 20 = 30 lakh tonnes

Production in the year 2015 = 50 lakh tonnes

Difference between 2014 and 2015 as production rise = 50 – 20 = 30 lakh tonnes.

Percentage production rose in 2015 = $\frac{3000000}{2000000}\times 100=150\%$ %

∴ The percentage production rise/fall from the previous year for country R is maximum in 2015

Given:

Length of cuboid = 7.5 m

Breadth of cuboid = 22 m

Height of cuboid = 13 m

Concept Used:

Volume of cuboid = Length × Breadth × Height

Calculation:

Volume of cuboid = Length × Breadth × Height

⇒ Volume of Cuboid = $7.5\times 22\times 13$

⇒ Volume of Cuboid = 2145 m³

Hence, the volume of the cuboid is 2,145 m³.

Concept Used:

Sum of the Arithmetic Series = $\frac{n}{2}[2a+(n-1)d]$

Average = Total sum of values ÷ Total number of values

Calculation:

First 10 multiples of 6 = 6, 12, 18, ..., 60

We have, First term, (a) = 6; Common Difference (d) = 6

⇒ Average = $\frac{\frac{n}{2}[2a+(n-1)d]}{10}$

⇒ Average = )\(\frac{\frac{10}{2}[2\times 6+(10-1)\times 6]}{10}=\frac{5\times [12+54]}{10}

⇒ Average = $\frac{330}{10}=33$

∴ The average of first 10 multiples of 6 is 33.

Given:

Price of bike = Rs 75,500

Reduction Percentage = 17%

Concept Used:

Price After Reduction = Original Price – Percentage of Original Price

Calculation:

Price after reduction = 75500 – 17% of 75500

Price after reduction = $75500-\frac{17}{100}\times 75500=75500-17\times755$

Price after reduction = 75500 – 12835 = Rs 62,665.

∴ The price of a bike after a reduction of 17% is Rs 62,665.

Given:

Compound Interest for one year = Rs 350

Compound Interest for the second year = Rs 420

Concept Used:

Compound Interest = P$\left(1+\frac{r}{100}\right)^{t}-P$

Simple Interest = $\frac{P\times R\times T}{100}$

Calculation:

Let the rate of interest be x%.

Difference between interest of 1^st and 2^nd year = Rs 420 – 350 = Rs 70

So, the interest on Rs 350 for one year is Rs 70

Now, according to the question,

⇒ $\frac{350\times x\times 1}{100}$ = 70

⇒ $x=\frac{70\times 100}{350}$ = 20 %

∴ The rate of interest for the amount is 20%.