SSC CHSL Previous Paper 11 (Held On: 12 Oct 2020 Shift 2) (Previous Year Paper)

The correct answer is - Ambasador. i.e. this is an incorrect spelling.

Key Points

• Let's look at the correct spelling and meaning of the marked option:
• Ambassador - a person who represents, speaks for, or advertises a particular organization, group of people, activity, or brand.
• Example: 
• He was really an ambassador for surfing because he was such a gentleman.
• Let's look at the meanings of the other given options:
• Judiciary - the part of a country's government that is responsible for its legal system and which consists of all the judges in the country's courts of law
• Virtual - almost or nearly as described, but not completely or according to strict definition.
• Appreciate - recognize the full worth of.

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Additional Information  

• Let's look at the words related to the marked option:
• Synonyms - emissary, envoy, legate, minister, representative.

The correct answer is - secretive

Key Points

• Let's look at the meaning of the given word and the marked option:
• Furtive - attempting to avoid notice or attention, typically because of guilt or a belief that discovery would lead to trouble.
• Secretive - (of a person or an organization) inclined to conceal feelings and intentions or not to disclose information.
• Let's look at the meanings of the other given options: 
• Positive - constructive, optimistic, or confident.
• Abortive - failing to produce the intended result.
• Adhesive - able to stick fast to a surface or object; sticky.
• Hence, from the given meanings, we find that secretive is the synonym for furtive.​​​​

Additional Information

• Let's look at the synonyms and antonyms for the given word:
• Synonyms - slippery, sly, sneaking, sneaky, stealthy
• Antonyms - aboveboard, forthright, plainspoken, straightforward

The correct answer is - What you do reveals the real you.

Key Points

• Let's look at the meaning of the given proverb:
• Actions speak louder than words​ - what someone actually does means more than what they say they will do.
• Example: 
• They are not expected to win, but they believe actions speak louder than words.

Additional Information

• Proverb - a short, well-known pithy saying, stating a general truth or piece of advice.
• A proverb is used the way it is i.e., without any alterations.

The correct answer is - Nimble.

Key Points

• Let's look at the meaning of the given word and the marked option:
• Agile - able to move quickly and easily.
• Nimble - quick and light in movement or action.
• Let's look at the meanings of the other given options: 
• Visible - able to be seen.
• Guile - sly or cunning intelligence.
• Docile - ready to accept control or instruction; submissive.
• Hence, from the given meanings, we find that Nimble is the synonym for Agile.

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Additional Information

• Let's look at the synonyms and antonyms for the given word:
• Synonyms - acrobatic, flexible, limber, loose-jointed, pliable
• Antonyms - inflexible, rigid, stiff, uncoordinated

The correct answer is - often.

Key Points

• Let's look at the meanings of the given adverbs:
• never - at no time in the past or future; not ever.
• often - frequently; many times.
• rarely - not often; seldom.
• The given sentence talks about an event that takes place frequently. The choices we make decide how our life is going to be like.
• In the current scenario, the adverb 'often' is the correct choice.

Additional Information

• Exemplary: serving as a desirable model; representing the best of its kind.

The correct answer is - along.

Key Points

• Let's look at the meanings of the given prepositions:
• along - moving in a constant direction on (a road, path, or any more or less horizontal surface).
• upon - more formal term for on, especially in abstract senses.
• into - expressing movement or action with the result that someone or something becomes enclosed or surrounded by something else.
• toward - in the direction of.
• The given sentence talks about the choices made during the course of one's journey.
• In the current scenario, the preposition 'along' is the correct choice.

The correct answer is - from.

Key Points

• Let's look at the meanings of the given prepositions:
• for - used to indicate the place someone or something is going to or toward.
• from - indicating the point in space at which a journey, motion, or action starts.
• though - despite the fact that; although.
• above - in extended space over and not touching.
• The given sentence talks about Ratan Tata's journey from one point to another.
• In the current scenario, the preposition 'from' is the correct choice in the 3rd blank.

The correct answer is - in.

Key Points

• Let's look at the meanings of the given prepositions:
• from - indicating the point in space at which a journey, motion, or action starts
• in - used as a function word to indicate inclusion, location, or position within limits
• of - used as a function word to indicate a point of reckoning
• with - used as a function word to indicate a participant in an action, transaction, or arrangement
• The given sentence talks about Ratan Tata's participation/inclusion in the freedom struggle.
• In the current scenario, the preposition 'in' is the correct choice in the 4th blank.

The correct answer is - economical.

Key Points

• Since the 5th blank is succeeded by a noun i.e., car, we need an adjective to qualify it.
• Of the given options, the 3rd and 4th options are adjectives but there is a difference between them which is given below:
• Economical - refers to being thrifty or not wasteful.
• Economic - relating to economics or the economy.
• The given sentence talks about the Tata Nano being an affordable car.
• In the current scenario, the adjective 'economical' is the correct choice in the 5th blank.

Additional Information

• Let's look at a similar pair of confusing adjectives:
• Historic - describes something momentous or important in history.
• Historical - describes something that belongs to an earlier period of history.
• Examples:
• We used a historic map to learn about the history of our town. (incorrect)
• We used a historical map to learn about the history of our town. (correct)
• The cathedral is of great historic and architectural interest.  (correct)

The correct answer is - meaning the right.

Key Points

• The simple present tense is used when an action is happening right now, to state or ask about things in general, or when it happens regularly or unceasingly.
• The structure is given below:
• Subject + V1 + object.
• The verb will take 's/es' if the given noun/pronoun (3rd person) is singular.
• Example:
• ​He plays badminton daily.
• In the given part of the sentence, we need a simple present verb tense as a general statement has been given here.
• Since 'freedom' is a singular noun, the singular verb i.e., 'means' will be used.

Correct Sentence: Freedom of expression means the right to express one’s own convictions and beliefs.

 ​​​​

Additional Information  

• Certain verbs used only in the simple present tense are given below:
• ​See, think, know, possess, like, want, desire, hate, seem, imagine, etc.
• Example:
• ​My brother is owning a car. (incorrect)
• ​My brother owns a car. (correct)

The correct answer is - exempted.

Key Points

• Let's look at the meanings of the given words:
• adjusted - to alter or move (something) slightly in order to achieve the desired fit, appearance, or result.
• accepted - consent to receive or undertake (something offered).
• exempted - free from an obligation or liability imposed on others.
• collected - bring or gather together (a number of things).
• The given sentence talks about the ones who don't have to pay income tax.
• In the current scenario, the verb 'exempted' is the correct choice in the given blank.
  

Correct Sentence: Those earning less than Rs. 10,000 are exempted from paying income tax. 

Let us look at the meanings in Hindi:

• adjusted- समायोजित
• accepted- स्वीकार किए जाते हैं
• exempted- छूट प्राप्त
• collected- जुटाया हुआ

The correct answer is - rebuked.

Key Points

• Let's look at the meanings of the given words:
• invoked - call on (a deity or spirit) in prayer, as a witness, or for inspiration.
• refused - indicate or show that one is not willing to do something.
• rebuked - express sharp disapproval or criticism of (someone) because of their behaviour or actions.
• praised - express warm approval or admiration of.
• As per the context of the sentence, the teacher scolded her students for using unfair means.
• In the current scenario, the verb 'rebuked' is the correct choice in the given blank.
  

Correct Sentence: The teacher rebuked the student for cheating. 

Let us look at the meaning of the following words in Hindi- 

• Invoked- लागू
• Refused- मना कर दिया
• Rebuked- डांटा
• Praised- की सराहना की

The correct answer is - Sitab asked his mother if it had been snowing all night. 

Key Points​​

• Let's look at the steps to change the sentence from direct to indirect speech:
• When the direct speech is in the interrogative form, we follow the steps given below:
• When the reporting verb 'said to' is used without an object, it is used as it is.
• Comma and inverted commas are replaced by the connective word 'if'.
• Change the sentence in the reported speech from interrogative to assertive.
• ​The helping verb is changed according to the tense, followed by the 3rd form of the verb. The present perfect continuous tense will be changed to the past perfect continuous tense.
• has been snowing - had been snowing.
• ​At last, line up the remaining part.
  

Following these steps, we finally get - Sitab asked his mother if it had been snowing all night.

The correct answer is - Friendly.

Key Points

• Let's look at the meanings of the given word and the marked option:
• Reserved - slow to reveal emotion or opinions.
• Friendly - behaving in a pleasant, kind way towards someone.
• Let's look at the meanings of the other given options: 
• Reticent - not revealing one's thoughts or feelings readily.
• Forgiving - ready and willing to forgive.
• Cowardly - in a way that shows a lack of courage.
• Hence, from the given meanings, we find that Friendly is the antonym for Reserved.

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Additional Information  

• Let's look at the synonyms and antonyms for the given word:
• Synonyms - laconic, reticent, silent, taciturn, tight-lipped
• Antonyms -  garrulous, loquacious, talkative, unreserved

The correct answer is - CBAD.

Key Points

• While arranging the parts of the passage, we should find some grammatical or contextual connections between them:
• Sentence C introduces us to the film 'Douch'. It is the introductory sentence and will be put in the first place.
• Sentence B tells us more about the young Iranian boy and his needs. It will be put in second place.
• Sentence A tells us about the task that the boy plans to do in order to buy the bicycle.
• ​So it will follow Sentence B. It will be put in third place.
• The last sentence is D as it mentions a 90-year-old woman who is illiterate.
  
• Thus, the correct order is - CBAD.

The correct answer is - Clarity.

Key Points

• Let's look at the meanings of the given word and the marked option:
• Enigma - something hard to understand or explain.
• Clarity - the quality of being coherent and intelligible.
• Let's look at the meanings of the other given options: 
• Charade - an absurd pretence intended to create a pleasant or respectable appearance.
• Mystery- something that is difficult or impossible to understand or explain.
• Make-believe- the action of pretending or imagining that things are better than they really are.
• Hence, from the given meanings, we find that Clarity is the antonym for Enigma.

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Additional Information  

• Let's look at the synonyms and antonyms for the given word:
• Synonyms - conundrum, head-scratcher, mystery, mystification
• Antonyms - assurance, certainty, certitude, confidence, conviction

The correct answer is - enormous.

Key Points

• Let's look at the meanings of the given words:
• weighty - of great seriousness and importance.
• lightest - having little weight
• enormous - marked by extraordinarily great size, number, or degree
• trivial - of little worth or importance
• As per the context of the sentence, the rising prices of essential food items have a huge impact on the poor.
• In the current scenario, the adjective 'enormous' is the correct choice in the given blank.
  

Correct Sentence: The rising prices of essential food items have placed an enormous burden on the poor.  

Alternate Method

• The article 'an' which precedes the underlined part, suggests that the adjective should start with a vowel.
• Hence, we are left with only the 3rd option i.e. enormous as the correct choice.

The correct answer is - Unscrupulous.

Key Points

• Let's look at the meaning of the marked option:
• Unscrupulous - not guided by or showing a concern for what is right.
• Let's look at the meanings of the other given options: 
• Mischievous - causing or showing a fondness for causing trouble in a playful way.
• Unaware - having no knowledge of a situation or fact.
• Ethical - relating to moral principles or the branch of knowledge dealing with these.
• Hence, from the given meanings, we find that Unscrupulous is the correct one-word substitute.

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Additional Information  

• Let's look at the synonyms and antonyms for the given word:
• Synonyms - Machiavellian, unconscionable, unethical, unprincipled
• Antonyms - ethical, moral, principled, scrupulous

The correct answer is - DBAC.

Key Points

• While arranging the parts of the passage, we should find some grammatical or contextual connections between them -
• Sentence D introduces us to the 'Emperor Bahadur Shah'. It is the introductory sentence and will be put in the first place.
• Sentence B tells us more about the two decorated elephants​. They escort the Emperor and head the possession. So, Sentence B will be put in second place.
• Sentence A tells about the camels carrying drums and small guns and they are behind the two elephants ('them' refers to the elephants).
• ​So it will follow Sentence B. It will be put in third place.
• The last sentence is C as it mentions the platoons of soldiers that are 'at the end.'
  
• Thus, the correct order is- DBAC.

The correct answer is - in the window.

Key Points

• A preposition is a word that shows direction (a letter to you), location (at the door), or time (by noon), or that introduces an object (a basket of apples).
• Prepositions are typically followed by an object, which can be a noun (noon), a noun phrase (the door), or a pronoun (you).
• In the given sentence, the use of the preposition 'in' is wrong.
• It should be replaced by 'from' as a point is indicated from where the subject looks at the sea.
  

Correct Sentence: My hotel in Goa had a wonderful view of the sea from the window.

Additional Information

• There are some fixed prepositional phrases given below:
• ​by the dint of, out of jealousy, in danger, by car/bus/train, owing to, on a trip, for a change, etc.
• For example:
• ​I went on a trip to Goa last month.

The correct answer is - Ambidextrous.

Key Points

• Let's look at the meaning of the marked option:
• Ambidextrous - using both hands with equal ease or dexterity.
• Here, the prefix 'Ambi' i.e., both reveals the meaning of the given word.
• Let's look at the meanings of the other given options: 
• Unskilled - not having or requiring special skill or training.
• Inexpert - having or showing a lack of skill or knowledge.
• Left-handed - (of a person) using the left hand more naturally than the right.
• Hence, from the given meanings, we find that Ambidextrous is the correct one-word substitute.

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Additional Information  

• Let's look at the synonyms and antonyms for the given word:
• Synonyms - adroit, artful, deft, delicate, dexterous
• Antonyms -  unfit, unfitted, unqualified, unskilled, unskillful

The correct answer is - An educational video on Traffic Rules for school students has been shot by the Delhi Police. 

Key Points

• The given sentence is in the active voice, hence we need to convert it into the passive voice.
• Find the subject (The Delhi Police) and object (An educational video on Traffic Rules for school students) of the sentence and exchange their places.
• The given sentence is in the present perfect tense. The passive verb form for the present perfect is: 
• Has/have + been + past participle form of the verb.
• So, 'has shot' changes to 'has been shot'.
• At last line up the remaining part.
  

Following these steps, we finally get - An educational video on Traffic Rules for school students has been shot by the Delhi Police.

The correct answer is - demise.

Key Points

• Let's look at the meanings of the given words:
• Deceased - no longer living. (मृतक)
• Bereavement - the state or fact of being bereaved or deprived of something or someone. (वियोग)
• Demise - a cessation of existence or activity. (मृत्यु)
• Expired - to come to an end. (समाप्त होना)
• As per the context of the sentence, the death of a veteran actor has been talked about.
• In the current scenario, the noun 'demise' is the correct choice in the given blank.
  

Correct Sentence: India has lost a veteran actor with the demise of Shriram Lagoo.

Confusion Points

• One may get confused with the noun 'bereavement' but it is used for the grief after the death of someone's loved-one. (कोई व्यक्ति 'bereavement' संज्ञा से भ्रमित हो सकता है लेकिन किसी के प्रियजन की मृत्यु के बाद दुःख के लिए इसका उपयोग किया जाता है।)

The correct answer is - Something easy​.

Key Points

• Let's look at the meaning of the given idiom:
• A piece of cake - something that is very easy to do.
• Example: 
• The exam was a piece of cake.

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Additional Information  

• Let's look at the origin of the idiom:
• The idea of cake being “easy” originated in the 1870s when cakes were given out as prizes for winning competitions.
• In particular, there was a tradition in the US slavery states where slaves would circle a cake at a gathering.
• The most “graceful” pair would win the cake in the middle.
• From this, the term “cakewalk” and “piece of cake” came into being, both meaning that something was easy to accomplish.

The wrongly spelt word is 'Embarassment'.

Key Points

• Let's look at the correct spelling and meaning of the marked option:
• Embarrassment - a feeling of self-consciousness, shame, or awkwardness.
• Example: 
• Nobody spoke for at least five minutes and Rachel squirmed in her chair with embarrassment.
• Let's look at the meanings of the other given options:
• Undergarment - a piece of underwear
• Announcement - something that someone says officially, giving information about something
• Resettlement - the act or process of helping someone move to another place to live, or the act of moving to another place to live

 ​​​​

Additional Information  

• Let's look at the words related to the marked option:
• Synonyms - disturbance, perturbation, unease, uneasiness, upset
• Antonyms - poise, self-assurance, self-confidence, self-possession

Given positions of the same dice,

We know, a dice has six faces and numbers from 1 to 6.

In given positions we see 5 and all adjacent numbers are given and the remaining number "3" is the opposite to the face having number 5.

Hence, the correct answer is 3.

Given,

34 ∶ 210

Here we have (34 + 1) × 6 = 210

Similarly,

66 ∶ 402 = (66 + 1) × 6 = 402

54 ∶ 100 = (54 + 1) × 6 ≠ 100

47 ∶ 282 = (47 + 1) × 6 ≠ 282

38 ∶ 236 = (38 + 1) × 6 ≠ 236

Hence, the correct answer is 66 ∶ 402

Given,

TSRQ, WVUT, MLKJ, PONL

Here all the clusters are in reverse alphabetical order except PONL.

Hence, the correct answer is PONL.

Given

1. Showing the picture of Shikha, Parul said

2. Shikha is the grandmother of Parul's father's only son

Preparing the family tree using the following symbols:

Possible tree diagram will be,

From the above arrangement, we see Shikha is the grandmother of Parul.

Hence, the correct answer is the Grandmother.

Given set,

(9, 217, 8)

 93 – 83 = 729 – 512 = 217

Here, we see the middle number is the difference of cubes of 1st and 3rd number.

Therefore,

(2, 76, 5) = 5³ – 2³ = 125 – 8 = 117 ≠ 76

(3, 49, 2) = 3³ – 2³ = 27 – 8 = 19 ≠ 49

(4, 37, 3) = 4³ – 3³ = 64 – 27 = 37

(5, 625, 6) = 6³ – 5³ = 216 – 125 = 91 ≠ 625

Hence, the correct answer is (4, 37, 3).

Based on condition given,

Substitute this in the given expression

[{(32 × 24) - (4 ÷ 3)} + (3 - 2)] ÷ 3

Therefore,

[{(32 - 24) + (4 × 3)} ÷ (3 + 2)] × 3

= [{8 + 12} ÷ (5)] × 3

= [{20} ÷ (5)] × 3

= 4 × 3 = 12

Hence, the correct answer is 12.

Given,

1. X is the mother of A.

2. A and Z are sisters.

3. B is the brother of Z.

4. R is the father of B.

5. Y is the sister of B's father.

So,

Preparing the family tree using the following symbols:

Possible tree diagram will be,

From the above arrangement, we see R is the Husband of X.

Hence, the correct answer is Husband.

The least possible Venn diagram for the given statements is as follows.

Conclusions:

I. All pigeons are tables. → False (From Venn diagram we see no pigeons are tables)

II. No parrot is a table. → True (From Venn diagram we see no parrot is a table)

Hence, the correct answer is the Only conclusion II follows.

Given sequence,

Here we see the paper is folded along the dotted lines and cut is taken in square shape and triangle, where the square is at the corner of paper while the base of the triangle is towards the centre. When we unfold the paper we see a similar pattern in each quadrant.

We see the paper as in the above figure.

Hence, the correct answer is

Given series,

AZ, CX, EV, ?, IR

Here two different series are followed

For the first letter in the group

A + 2 = C + 2 = E + 2 = G + 2 = I

For the second letter in the group

Z − 2 = X − 2 = V − 2 = T − 2 = R

Therefore, the group formed is GT.

Hence, the correct is GT.

Given,

Small single squares - 21

Large squares on combining four small squares - 9

Large squares on combining nine small squares - 2

Therefore, total number of squares = 32

Hence, the correct answer is 32.

Given,

EASY ∶ IETZ ∶∶ LAKE ∶ ______

The pattern followed here is,

E + 4 = I

A + 4 = E

S + 1 = T

Y + 1 = Z

Similarly,

L + 4 = P

A + 4 = E

K + 1 = L

E + 1 = F

Therefore, the word LAKE : PELF

Hence, the correct answer is PELF.

Given,

Here, the top and bottom part of the image will remain in the same position and only the left and the right part will be changed.

Therefore, the above image will be a mirror image.

Hence, the correct answer is 

.

Given series,

7, 16, 34, 70, ____, ____

The pattern followed here is

7 + 9 = 16 + 18 = 34 + 36 = 70

Similarly,

70 + 72 = 142 + 144 = 286

Hence, the correct answer is 142, 286.

The pattern followed is,

Sum of reverse positional value of letters and multiplied by 2.

NIB = (13 + 18 + 25) × 2 = 112

COB = (24 + 12 + 25) × 2 = 122

Similarly, 

JET = (17 + 22 + 7) × 2 = 92

Hence, 92 is the correct answer.

Given,

_ _ bc _ daabc _ _ a _ _ ccd

In the above series by putting given options we get

1. acbccdaabcdaaacccd

2. aabccd/aabccd/aabccd

3. acbccdaabccdacbccd

4. cabccdaabcdcaabccd

Here, we have set of six letters in the second option.

Hence, the correct answer is aaccdab.

Given words,

1. Shoulder
2. Thigh
3. Stomach
4. Chest
5. Face
6. Neck

The body parts are arranged in the top to bottom order as following,

5. Face
6. Neck
7. Shoulder
8. Chest
9. Stomach
10. Thigh

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

Given,

Number of students = 11

Number of boys = 6

Number of girls = 5

Therefore,

P (A) = $5/11$

Hence, the correct answer is $5/11$

Given figure,

The above figure is embedded in the figure in option 3

Hence, the correct answer is

The pattern followed here is

7 → 7² + 1 = 50

5 → 5² + 1 = 26

6 → 6² − 1 = 35

4 → 4² + 1 = 17

Therefore, the different pair is 6-35.

Hence, the correct answer is 6-35.

Given,

LAME ∶ OXPB ∶∶ TREE ∶ ?

The pattern followed here is,

L + 3 = O, A − 3 = X, M + 3 = P, E − 3 = B

Similarly,

T + 3 = W, R − 3 = O, E + 3 = H, E − 3 = B

Hence, the correct answer is WOHB.

Given,

Chandigarh, India, Seoul

Here, Chandigarh is the city in India while Seoul is the capital of South Korea.

Therefore the best possible Venn diagram is,

Hence, the correct answer is

From the above table, we see Z is opposite to A, Y is opposite to B, and so on.

Here, LOCKER is written as OLXPVI

Similarly, GLOBAL is written as TOLYZO

Hence, the correct answer is TOLYZO.

Given,

(5, 6, 61)

Here the pattern followed is,

5 × 6 = 30 × 2 + 1 = 61

Similarly,

1. (3, 4, 25)

3 × 4 = 12 × 2 + 1 = 25

2. (5, 2, 49)

5 × 2 = 10 × 2 + 1 = 21

3. (3, 8, 24)

3 × 8 = 24 × 2 + 1 = 49

4. (9, 4, 26)

9 × 4 = 36 × 2 + 1 = 73

Hence, the correct answer is (3, 4, 25).

Given,

In the above-given figure, we see the arrow is changing direction as up and down and the hexagon is rotating in a clockwise direction.

Therefore, the figure in place of the question mark is

Hence, the correct answer is

Given:

(77⁷⁷ + 77) ÷ 78

Formula:

(x³ + y³) = (x + y) (x² - xy + y²)

(xⁿ + yⁿ) = (x + y) ............

Where n is an odd number

Calculation:

(7777 + 77) ÷ 78

⇒ [(7777 + 1) + 76]/78

⇒ [(7777 + 1)/78 + 76/78

⇒ [(7777 + 1⁷⁷)/78 + 76/78

Form the give formula we can say (7777 + 1⁷⁷) is divisible by 78.

∴ Remainder = 76.

Calculation:

According to the question, we have

When 77 is divided by 78, the remainder will be (- 1)

Using remainder theorem

 [(7777 + 77)/78

⇒ [(-1)⁷⁷ + (-1)]/78

⇒ (- 1 - 1)/78

⇒ (- 2)/78

⇒ 76

∴ The reminder is 76.

Given:

The man covers 18 km distance at the speed = 6 km/hr. 

He covers 20 km distance at the speed = 5 km/hr. 

He covers 27 km distance at the speed = 9 km/hr. 

Formula:

Average speed = (Total distance/Total time)

Calculation:

Time taken by man to cover 18 km distance at the speed of 6 km/hr. = 18/6 = 3 hrs.

Time taken by man to cover 20 km distance at the speed of 5 km/hr. = 20/5 = 4 hrs.

Time taken by man to cover 27 km distance at the speed of 9 km/hr. = 27/9 = 3 hrs.

Total distance = 18 + 20 + 27 = 65 km

Total time = 3 + 4 + 3 = 10 hrs.

∴ Average speed = 65/10 = 6.5 km/hr.

Given:

x + y + z = 10, (x³ + y³ + z³) = 75 and xyz = 15

Formula:

(x³ + y³ + z³ - 3xyz) = (x + y + z) (x² + y² + z² - xy - yz - zx)

Calculation:

According to the given formula

(x3 + y3 + z3 - 3xyz) = (x + y + z) (x2 + y2 + z2 - xy - yz - zx)

⇒ 75 - 3 × 15 = 10 × (x2 + y2 + z2 - xy - yz - zx)

⇒ 75 - 45 = 10 × (x2 + y2 + z2 - xy - yz - zx)

⇒ (x2 + y2 + z2 - xy - yz - zx) = 30/10 

∴ x2 + y2 + z2 - xy - yz - zx = 3

Given:

SP of the bike = Rs. 2500

Loss% = 20%

Formula:

Loss = CP – SP

Loss % = (Loss/CP) × 100 

Calculation:

CP of the bike = 2500 × (100/80) = Rs. 3125

∴ New SP of the bike = 3125 × (70/100) = Rs. 2187.5

Given:

Expenditure on 'Interest on loans' = 20%

Expenditure on 'Transport' = 15%

Calculation:

The expenditure on 'Interest on loans' is more than that of on 'Transport' = [(20 - 15)/15] × 100%

⇒ (5/15) × 100%

⇒ 33.33%

∴ Expenditure on Interest on loans is 33.33% more than the expenditure on Transport

Given:

3 sec² x - 4 = 0

Formula:

sec 30° = 2/√3

Calculation:

3 sec² x - 4 = 0

⇒ sec² x = 4/3

⇒ sec x = 2/√3

⇒ sec x = sec 30°

∴ x = 30°

Given:

ZL and YM intersect each other at G.

Concept:

Median divides the triangle into two equal parts.

Calculation:

If mid points of sides of a triangle joined, then the triangle is divided into four equal parts, [see figure (1)]

Let area of each triangle ΔXLM = ΔYLP = ΔPMZ = ΔLMP = 6 units

Total area of ΔXYZ = 24 units

Median divides the triangle into two equal parts, [see figure (2)]

Area of each triangle ΔLGM = ΔMGP = ΔPLG = 2 units

∴ Area of ΔGLM : Area of ΔXYZ = 2 : 24 = 1 : 12.

Given:

Ratio of length and breadth of the rectangular field = 5 : 2.

Perimeter of the rectangular field = 238 m.

Formula:

Perimeter of the rectangle = 2(l + b)

Calculation:

Ratio of length and breadth of the rectangular field = 5x : 2x

According to the question

2 × (5x + 2x) = 238

⇒ 2 × 7x = 238

⇒ x = 238/14

⇒ x = 17 m

∴ Length of the field = 5 × 17 = 85 m.

Given:

$\dfrac{\tan 60^\circ - \tan 15^\circ}{1 + \tan 60^\circ \tan 15^\circ}$

Formula:

tan (A - B) = (tan A - tan B)/(1 + tan A tan B)

tan 45° = 1

Calculation:

(tan 60° - tan 15°)/(1 + tan 60° tan 15°)

⇒ tan (60° - 15°)

⇒ tan 45°

⇒ 1

Given:

Discount = 20%

MP is more than CP by 35%

Formula:

Profit = SP – CP

Profit % = (Profit/CP) × 100

Calculation:

Let CP of the articles be Rs. 100

MP of the articles = 100 × (135/100) = Rs. 135

Now,

SP of the articles = 135 × (80/100) = Rs. 108

Profit = Rs. 108 - Rs. 100 = Rs. 8

∴ Profit percentage = (8/100) × 100 = 8%

Given:

L is the center of the circle and ML is perpendicular to LN

Area of the triangle MLN = 36

Formula:

Area of the circle = πr²

Area of the right-angled triangle = (1/2) × Base × Height

Calculation:

In ΔLMN

LM = LN = r (Radius of the circle)

Area of right-angled ΔLMN = (1/2) × r × r

⇒ 36 = r²/2

⇒ r² = 72

∴ Area of the circle = πr² = 72π

Given:

Average runs of player in 20 matches = 35

Average runs of player in first 12 matches = 45

Formula:

Average = (Sum of all observations)/(Total number of all observations)

Calculation:

Sum of runs of player in 20 matches = 35 × 20 = 700

Sum of runs of player in first 12 matches = 12 × 45 = 540

Sum of runs of player in last 8 matches = 700 - 540 = 160

∴ Average runs of player in last 8 matches = 160/8 = 20  

Shortcut Trick

REMAING matches Average

= common average - [(higher avg - avg) x no of player (high avg)]\remaing player

= 35 - [(45 - 30)12]/8 = 35 - (120/8) =35 -15 =20

Given:

The total expenditure on 'Research and Development' and 'Salary' = 5 + 15 = 20 cr

Total expenditure of company = 25 + 17.5 + 20 + 10 + 5 + 15 + 22.5 = 115 cr

The total expenditure of the company is the total expenditure on 'Research and Development' and 'Salary' = 115/20 = 5.75 times

Improvement of marks of Meena from class X to class XII = 71 - 62 = 9

Improvement of marks of Veen from class X to class XII = 90 - 85 = 5

Improvement of marks of Madhu from class X to class XII = 86 - 76 = 10 

Improvement of marks of Alka from class X to class XII = 86 - 72 = 14

∴ On the basis of the graph the girl who has shown the maximum improvement from class X to class XII is Alka.

Given:

Rate = $12 \dfrac{2}{4}\%$ = (50/4)%

Formula:

SI = Prt/100

Calculation:

Let principal be Rs. x, then

SI = Rs. x

According to the question

x = (x × 50 × t)/(100 × 4)

⇒ t = 8 years 

∴ In 8 years will the simple interest be equal to the principal.

Given:

30 men working 8 hours per day can dig a pond in = 16 days

Formula:

M₁ × T₁ × D₁ = M₂ × T₂ × D₂

Calculation:

M₁ = 30 men, T₁ = 8 hrs, D₁ = 16 days, M₂ = 32 men, D₂ = 20 days

According to the formula

30 × 8 × 16 = 32 × T₂ × 20

⇒ T₂ = (30 × 8 × 16)/(32 × 20)

∴ T₂ = 6 hrs.

Given:

Two chords AB and CD intersect each other at the point P.

AB = 15 cm, PB = 9 cm and CP = 3 cm

Formula:

If two chords AB and CD intersect each other at point P inside the circle, then

AP × PB = CP × PD

Calculation:

AP = AB - PB 

⇒ AP = 15 - 9 = 6 cm

According to the formula

AP × PB = CP × PD

⇒ 6 × 9 = 3 × PD

⇒ PD = 54/3

∴ PD = 18

Follow BODMAS rule to solve this question, as per the order given below:

Calculation:

2.1 + 2.25 ÷ [63 - {7.5 × 8 + (13 - 2.5 × 5)}}

⇒ 2.1 + 2.25 ÷ [63 - {60 + (13 - 12.5)}]

⇒ 2.1 + 2.25 ÷ {63 - {60 + 0.5)}

⇒ 2.1 + 2.25 ÷ {63 - 60.5}

⇒ 2.1 + 2.25 ÷ 2.5

⇒ 2.1 + 0.9

⇒ 3

Given:

a + b = 11 and ab = 15

Formula:

(a + b)² = a² + b² + 2ab

Calculation:

(a + b)2 = a2 + b2 + 2ab

⇒ 11² = a² + b² + 2 × 15

⇒ a² + b² = 121 - 30

∴ a² + b² = 91

Given:

Total amount to be divided among Seema, Komal and Rita = Rs. 3600

Ratio of shares of Seema and Komal = 1.5 : 2

Ratio of shares of Komal and Rita = 2 : 2.5

Calculation:

Ratio of shares of Seema and Komal = 1.5x : 2 x 

Ratio of shares of Komal and Rita = 2x : 2.5x 

Ratio of shares of Seema, Komal and Rita = 1.5x : 2x : 2.5x

According to the question

1.5x + 2x + 2.5x = 3600

⇒ 6x = 3600

⇒ x = 3600/6

⇒ x = 600

∴ Share of Rita = 2.5 × 600 = Rs. 1,500

Calculation:

The total expenditure on 'Infrastructure' and 'Transport' = 25% + 17.5% = 42.5%

The total expenditure on 'Taxes' and 'Interest on Loans' = 10% + 22.5% = 32.5%

∴ Required ratio = 42.5 : 32.5 = 17 : 13

Given:

PQ = QR = 10 cm

∠PQR = 90°

Formula:

Area of triangle = (1/2) × Base × Height

(Hypotenuse)² = (Base)² + (Perpendicular)²

Calculation:

PR² = 10² + 10²

⇒ PR² = 100 + 100

⇒ PR² = 200

⇒ PR = 10√2

Let QM is perpendicular to PR, then

(1/2) × 10 × 10 = (1/2) × QM × 10√2      [Formula of area]

∴ QM = 5√2 cm.

Given

4 cos2 θ - 3 sin2 θ + 2 = 0

Formula:

sin2θ + cos2θ = 1

tan2θ = sin2θ/cos2θ

Calculation:

4 cos2θ - 3 sin2θ + 2 = 0

⇒ 4 cos²θ - 3 (1 - cos²θ) + 2 = 0

⇒ 4 cos²θ - 3 + 3 cos²θ + 2 = 0

⇒ 7 cos²θ - 1 = 0

⇒ 7 cos²θ = 1

⇒ cos²θ = 1/7

sin²θ + cos²θ = 1

⇒ sin²θ = 1 - 1/7

⇒ sin²θ = 6/7

Now,

tan²θ = sin²θ/cos²θ

⇒ tan²θ = (6/7)/(1/7)

⇒ tan²θ = 6

∴ tanθ = √6

Given:

A runner is running at a speed = 40 km/hr

Calculation:

His speed in starting = 40 km/hr

His speed in last = 30 km/hr

He decreases his speed = 40 - 30 = 10 km/hr

∴ He decreases his speed (in %) = (10/40) × 100 = 25%

Given:

a - b = 4 and a³ - b³ = 88

Formula: ∴

(a³ - b³) = (a - b) (a² + b² + ab)

(a³ - b³) = (a - b) [(a - b)² + 3ab]

(a + b)² = a² + b² + 2ab

(a + b)(a - b) = a2 - b2

Calculation:

According to the formula

88 = 4 × (4² + 3ab)

⇒ 22 = 16 + 3ab

⇒ 3ab = 22 - 16

⇒ ab = 6/3

⇒ ab = 2

(a - b)² = a² + b² - 2ab

⇒ 4² = a² + b² - 2 × 2

⇒ a² + b² = 16 + 4 

⇒ a² + b² = 20

(a + b)² = 20 + 2 × 2

⇒ a + b = √24 = 2√6

Then (a + b)(a - b) = 2√6 × 4

⇒ 8√6 

∴ (a2 - b2) = 8√6

The correct answer is Sn.

Key Points

About Tin

Additional Information 

• It is a soft, silvery-white metal with a bluish tinge.
• Below 13°C it slowly changes to a powder form.

Uses

• It is used to coat other metals to prevent corrosion, such as in tin cans, which are made of tin-coated steel.
• Alloys of tin are important, such as soft solder, pewter, bronze and phosphor bronze.
• A niobium-tin alloy is used for superconducting magnets.
• Most window glass is made by floating molten glass on the molten tin to produce a flat surface.
• Tin salts sprayed onto glass are used to produce electrically conductive coatings.

Important Points

The correct answer is 9.1.

Key Points

• The Indian Ocean tsunami is also known as the Christmas or Boxing Day tsunami.
• It took place in 2004.
• The Sumatra-Andaman earthquake is estimated to have released energy equivalent to 23,000 Hiroshima-type atomic bombs.
• The Sumatra-Andaman earthquake struck 241.40 km (150 miles) from the coast of Sumatra island, in the northwest of the Indonesian island group, and 49.88 km (31 miles) below the ocean floor.
• The magnitude 9.1 quake ruptured a 1500 km ( 900-mile) stretch of fault line where the Indian and Australian tectonic plates meet.
• It was a powerful megathrust quake, occurring where a heavy ocean plate slips under a lighter continental plate.

Additional Information

• The Richter scale was developed by Charles F. Richter in 1934.
• It used a formula based on the amplitude of the largest wave recorded on a specific type of seismometer and the distance between the earthquake and the seismometer.

The correct answer is Iran.

Key Points

• Lotus Temple was designed by an architect Furiburz Sabha who belongs to Iran.
• It is the last of seven Major Bahai temples built around the world.
• Shape- Lotus Flower.
• Lotus Temple was Built in 1986.
• Its structure made up of pure white marble.
• The architect Furiburz Sabha chose the lotus as the symbol common to Hinduism, Buddhism, Bhai Temple Jainism, and Islam.

The correct answer is 1988.

Key Points

• Sarkaria Commission was set up on June 9, 1983,
• commission was constituted under the Chairmanship of Justice R.S. Sarkaria with Shri B. Sivaraman and Dr. S.R. Sen as its members.
• The Commission will examine and review the working of the existing arrangements between the Union and States in regard to powers, functions, and responsibilities in all spheres and recommend such changes or other measures as may be appropriate.
• Sarkaria Commission submitted its 1600-page report in January 1988.
• The report contains 247 recommendations spreading over 19 Chapters.
• The main recommendations of the Commission with regard to the Inter-State Council and its Secretariat were
• The Council should be charged with duties in broad terms embracing the entire gamut of clauses (b) and (c) of Article 263.
• The Council should not be vested with powers of inquiring into and advising upon disputes between the States.
• Without an independent permanent secretariat, the Council will not be able to establish its credibility.
• Considering the nature of meetings and the level of participants, the Council’s Secretariat should be suitably staffed and modeled on the Union Cabinet Secretariat.

The correct answer is 8.

Key Points

• Eight West African countries agreed to change the name of their common currency to Eco and severed the CFA franc's links to former colonial ruler France.
• Benin, Burkina Faso, Guinea-Bissau, Ivory Coast, Mali, Niger, Senegal, and Togo currently use the currency.
• CFA notes and coins are printed and minted at a Bank of France facility in the southern town of Chamalieres.
• The CFA franc, created in 1945, was seen by many as a sign of French interference in its former African colonies even after the countries became independent.
• The CFA franc was initially pegged to the French franc and has been linked to the euro for about two decades.
  

​​

Additional Information 

• ECOWAS- The Economic Community of West African States regional bloc.
• Established in- 1975
• Member Country- Benin, Burkina Faso, Cape Verde, Gambia, Ghana, Guinea, Guinea-Bissau, Ivory Coast, Liberia, Mali, Niger, Nigeria, Senegal, Sierra Leone, and Togo.

The correct answer is Thallophyta.

Key Points

• Thallophyta- The plants in this group are commonly called algae.
• The form and size of algae are highly variable.
• The algae reproduce by vegetative, asexual, and sexual methods.
• Vegetative reproduction is by fragmentation.
• Each fragment develops into a thallus.

Additional Information 

• Bryophyta- Bryophyta includes the various mosses and liverworts that are found commonly growing in moist shaded areas in the hills.
• Bryophytes are also called amphibians of the plant kingdom because these plants can live in soil but are dependent on water for sexual reproduction.
• They play an important role in plant succession on bare rocks/soil.
• Gymnosperms- The gymnosperms are plants in which the ovules are not enclosed by any ovary wall and remain exposed, both before and after fertilization.
• This term is made from two Greek words Gymno means naked and Sperma means seed.
• Pteridophyta- In Pteridophytes, the main plant body is a sporophyte which is differentiated into true root, stem, and leaves.
• The leaves in Pteridophyta are small (microphylls) as in Selaginella or large (macrophytes) as in ferns.
• They are also frequently grown as ornamentals. Evolutionarily, they are the first terrestrial plants to possess vascular tissues-xylem and phloem.

The correct answer is West Bengal.

Key Points

• Bhatiali is the folk music of West Bengal.
• It is related to the song of the river, sung by the river through her boatsmen.
• Bhatiali has a river in its name itself.
• Bhati means the downstream.

Additional Information

• Chhau Dance is a renowned tribal martial dance, a unique thing amongst folk dances of West Bengal.
• Alkap Dance is done mainly by the rural community of West Bengal.
• Kushan Gambhira and Kirtan dance of West Bengal.
• The prominent folk dances of Karnataka are the Yakshagana and Dollu Kunitha.
• Bharatanatyam, Bommalattam, Chakkai Attam is dance form of Tamil Nadu.
• Mohiniyattam, Kathakali famous classical dances of India that developed and remained popular in the state of Kerala.

The correct answer is 168.

Key Points

 Under Article-168, Constitution of Legislatures in States.

• For every State, there shall be a Legislature which shall consist of the Governor.
• Only Andhra Pradesh, Bihar, Karnataka, Maharashtra, Telangana, and Uttar Pradesh out of 28 states have bicameral legislatures, with the remaining states having a unicameral one.
• In other States, one House.
• There are two Houses of the Legislature of a State, the First Legislative Council and the second Legislative Assembly, and where there is only one House, it shall be known as the Legislative Assembly.

Additional Information

The correct answer is checking spelling and grammar.

Key Points

• Its have no use of the F7 key in Windows.
• In Microsoft programs such as Microsoft Word, Outlook for checking spellings and grammar, the F7 is commonly used.
• Other uses- 
• Shift + F7 = Choose the Thesaurus command.
• Ctrl + F7 = Choose the move command.
• Alt + F7 = Find the next misspelling or grammatical error.

​

Additional Information

• Renaming files and folders**- F2 key.**
• Opening help- Windows Key + F1 key.
• Searching content in various apps**- Windows Key + Q key.**

The correct answer is Naharkatia-Nunmati-Barauni Pipeline.

Key Points

• This was the first pipeline constructed in India to bring crude oil from Naharkatia (Assam) oilfield to Nunmati (Assam).
• It was extended to transport crude oil to the refinery at Barauni in Bihar.
• Total Length of the pipeline 1167 km.
• It is now extended to Kanpur in Uttar Pradesh.
• The pipeline between Naharkatia and Nunmati became operative in 1962 and that between Nunmati and Barauni in 1964.

​

Additional Information

• Mumbai High-Mumbai-Ankleshwar-Kayoli Pipeline is a 210 km long double-pipeline that connects Mumbai with Mumbai High.
• Ankleshwar-Koyali pipeline was completed in 1965.
• It transports crude oil from Ankleshwar oilfield to the Koyali refinery.
• Hajira-Bijapur-Jagdishpur (HBJ) Gas Pipeline is the longest pipeline of India having a length of 1750 km.
• It was established by the Gas Authority of India.

The correct answer is Deogarh.

Key Points

• The Dashavatara Temple is one of the earliest known temples in North India and is dedicated to Lord Vishnu.
• The Dashavatara Temple or Vishnu Temple also called the Gupta temple is at Deogarh.
• It was built during the Gupta period.
• The temple depicts the ten incarnations of Lord Vishnu.
• The temple also features the idol of Lord Vishnu in a position of Nar Narayan Tapasya and another one shows him reclining on a serpent.
• It was the first temple in North India to have a Shikara.

The correct answer is 1498 m/s.

Key Points

• Sound is a type of longitudinal, mechanical wave.
• They need a medium to propagate and will not travel through a vacuum.
• Sound travels at different speeds in different media.
• The speed of sound is determined by the density (ρ) and compressibility (K) of the medium.
• Density is the amount of material in a given volume, and compressibility is a measure of how much a substance could be compacted for a given pressure.
• The speed of sound can also be affected by temperature.
• Sound waves tend to travel faster at higher temperatures.
• The denser and the more compressible, the slower the sound waves would travel.
• Water is much denser than air.
• The speed of sound in a medium can be determined by the equation.
• v = (Kρ)-½
• where v is the speed of sound,
• K is the compressibility, and
• ρ (rho) is the density.
• Sound waves tend to travel faster at higher temperatures.
• They range from 1450 to 1498 meters per second in distilled water and 1531 m/s in seawater at room temperatures (20 to 25 °C).

The correct answer is France.

Key Points

• France will train Indian flight surgeons to enable them to monitor the health of astronauts selected for the ambitious human space mission Gaganyaan.
• The two-week training is a critical aspect of the Gaganyaan project.
• It is aimed at sending three Indians to space by 2022.
• A memorandum of understanding on the matter is expected to be signed later this week when French space agency CNES President Jean-Yves Le Gall arrives in Bengaluru.

​

Important Points

• The Gaganyaan is set to take off on a GSLV Mk III in August 2022.
• The Hindustan Aeronautical Limited and DRDO are helping the mission by providing technological support.
• The DRDO will provide human system support like space-grade food, crew healthcare and other systems

​​

Additional Information

The correct answer is 152 million km.

Key Points

• It is approximately the average distance between the Earth and the Sun about 150 million km.
• The Earth-Sun orbit distance is defined to be exactly 1.00, and we call this distance 1.00 AUs.
• An Astronomical unit is a unit of length it is used to measure distances within the Solar System.
• 1 A.U. represents the mean distance between the Earth and our sun.
• The mean distance between the sun and the earth is 149,598,000 km.
• In terms of light-years, it is 8.311 minutes.
  

A light-year is a measure of distance and not of time.

• Light travels at a speed of 300,000 km/second.
• It is the distances that light will travel in one year that is taken to be one light year.
• This equals to 9.461×1012 km.

Additional Information

• • Aphelion is the point on the Earth's elliptical orbit that is farthest away from the Sun.
• Perihelion is the point on the Earth's elliptical orbit that is nearest to the Sun.

An elliptical orbit of a planet is shown in the figure.

The correct answer is Electronic Numerical Integrator and Computer.

Key Points

• ENIAC stands for Electronic Numerical Integrator And Computer.
• It is considered to be the first operational electronic digital computer in the United States, developed by Army Ordnance to compute World War II ballistic firing tables.
• The first all-electric computing machine was proposed by physicist John Mauchly in 1942 and was completed in 1945.
• The ENIAC weighed 30 tons, used 200 kilowatts of electric power and consisted of 18,000 vacuum tubes, 1,500 relays, and hundreds of thousands of resistors, capacitors, and inductors.
• The ENIAC used 20 single-number accumulators as primary functional units.
• The ENIAC's field of the application included weather prediction, atomic-energy calculations, cosmic-ray studies, thermal ignition, random-number studies, wind-tunnel design, and other scientific uses.

The correct answer is Archery.

Key Points

• Archery is the National Game of Bhutan.
• Bhutan is called the "land of the dragon".
• Bhutan is a small landlocked nation in Asia.
• The official language is Dzongkha, a language closely related to Tibetan and Nepali.
• The capital and largest city is Thimphu.
• The currency of the Bhutan Ngultrum.

The correct answer is Sourav Ganguly.

Key Points

• Ganguly is appointed as the BCCI's 39th President.
• He succeeds C K Khanna, who was the interim head of the Board since 2017.
• ​Ganguly took over as the new boss at the apex body's Annual General Meeting (AGM) in Mumbai.
• Ganguly, who played 113 Tests and 311 one-day internationals and led India to 21 Test wins, has already been an administrator for his home state association, Cricket Association of Bengal (CAB).
• He is the 2nd Indian cricketer after Maharaja of Vizianagaram to do the role of BCCI president.
• His nomination was validated by BCCI's electoral officer N Gopalaswami.