SSC CHSL Previous Paper 17 (Held On: 14 Oct 2020 Shift 2) (Previous Year Paper)

The correct answer is 'Intriging'. 

Key Points

• In the given question Option 2 is incorrectly spelled.
• The correct spelling is 'Intriguing.'
• Intriguing: arousing one's curiosity or interest; fascinating.
• Example: She has a really intriguing personality.
• Therefore, the correct answer is Option 2.

​

Correct Answer: Intriging. 

Additional Information

• The meaning of other words given in the option as follows: 
• Marriage: a legally accepted relationship between two people in which they live together.
• Example: They had a long and happy marriage.
• Symphony: a long piece of music for an orchestra, usually with four movements. 
• Example: It is Mahler's ninth symphony.
• Separate: existing or happening independently or in a different physical space.
• Example: The art department and the music department are in two separate buildings.

The correct answer is 'Aanya told me that he had made a rose and honey vanilla dessert for me'. 

Key Points

• The given sentence is in Direct Narration. As per the given question we have to change it into Indirect Narration.
• The process of transformation as follows: 
• 'Said to' will be changed into 'told'. Though the reporting verb has no object, it is understood.
• Comma and inverted comma will be removed.
• 'I' will be changed into 'She'.
• 'Have made' will be changed into 'had made'.
• 'You' will be changed into 'me'.
• Therefore, the correct sentence will be 'Aanya told me that she had made a rose and honey vanilla dessert for me.'

 

Correct Answer: Aanya told me that she had made a rose and honey vanilla dessert for me.

The correct answer is 'Baking soda is used by me to remove stains from my clothes.' 

Key Points

• The given sentence is in Active Voice. As per the question we have to change it into Passive Voice.
• The process of transformation as follows:
• 'I' is the subject.
• 'Baking soda' is the object.
• The subject will be put in place of the object and the object will be put in place of the subject.
• 'Use' will be changed into 'is used'.
• 'to remove stains from my clothes' will be written as it is.
• Therefore, the correct sentence is 'Baking soda is used by me to remove stains from my clothes'.

 

Correct Answer: Baking soda is used by me to remove stains from my clothes.

The correct answer is 'CBAD'. 

Key Points 

• Part C and Part B make a pair.
• Part B explains what Part C is saying. Part C tells about the God of Food.
• And Part B explains about its 'His complain'. Part B will be followed by Part C.
• Hence, C and B make a pair.
• Only Option 2 has C and B pair.
• Therefore, the correct answer is 'CBAD'.

 

Correct Answer: 'CBAD'.

The correct answer is 'manufacturing'. 

Key Points

• The given passage is about an explosion that occurred in West Delhi.
• Only option 2 fits best in the given fill in the blank.
• Because 'manufacturing firm' is a phrase. And it fits the best in the given fill in the blank.
• Manufacturing: the business of producing goods in large numbers.
• Example: The service sector now employs more people than manufacturing.

 

Correct Sentence: ''One fireman died while 14 others had a narrow escape when a part of the factory-cum-outlet of a well-known battery manufacturing firm...''

The correct answer is 'blaze'.

Key Points

• The given passage is about an explosion that occurred in West Delhi.
• The correct answer of the given fill in the blank is 'blaze'.
• Blaze: a large, strong fire.
• Example: Firefighters took two hours to control the blaze.
• Due to the explosion, there was fire everywhere. Hence, only Option 3 fits the best in the given question.

 

Correct Sentence: ''...they were battling a major blaze collapsed following a series of sudden explosions in west Delhi.'' 

Additional Information

• The meaning of the other words given in the options as follows: 
• Fracture: If something hard, such as a bone, fractures, or is fractured, it breaks or cracks.**
• Example: She fractured her skull in the accident.
• Trouble: problems or difficulties.
• Example: The tax forms were complicated and I had a lot of trouble with them.
• Ruin: to spoil or destroy something completely.
• Example: Her injury ruined her chances of winning the race.

The correct answer is 'recently'.

Key Points

• The given passage is about an explosion that occurred in West Delhi.
• The given fill in blank talks about a brave fireman who recently got married.
• Only option 1 fits the best in the given fill in the blank.
• Hence, 'recently' is the correct answer.

 

Correct Sentence: ''The brave fireman who had joined the department last year and got married recently was buried...''

Additional Information

• The meaning of the other words given in the option as follows: 
• Generously: in a way that shows a willingness to give money, help, kindness, etc., especially more than is usual or expected​.
• Example: Please give generously to charity.
• evidently: in a way that is easy to see.
• Example: He was evidently upset by the news of the accident.
• Eventually: in the end, especially after a long time or a lot of effort, problems, etc.
• Example: Although she had been ill for a long time, it still came as a shock when she eventually died.

The correct answer is 'triggered'. 

Key Points

• The given passage is about an explosion that occurred in West Delhi.
• Triggered: to cause something to happen, especially something bad.
• Example: Central banks must raise interest rates without triggering a financial crisis for households with excessive debts.
• Due to the explosion in the compressor burst fire was there.
• By reading the above definitions we find that the correct answer is triggered.

 

Correct Sentence: ''...under a pile of debris following explosions which were triggered by a compressor burst...'' 

Additional Information

• The meaning of the other words given in the question as follows: 
• Amazed: extremely surprised​.
• Example: She was amazed at how calm she felt after the accident.​
• Advocated: to publicly support or suggest an idea, development, or way of doing something​.
• Example: He advocated the return of capital punishment.
• ​Horrified: very shocked.
• Example: I was horrified to hear of his death.

The correct answer is 'excessive'. 

Key Points

• The given passage is about an explosion that occurred in West Delhi.
• The most appropriate option for the given sentence is Option 3.
• Excessive: too much or too many.
• Example: Some property owners complained that they were being charged excessive fees.
• Due to excess inhalation of smoke and excess bleeding, the fireman died.
• Therefore, the correct answer is excessive.

 

Correct Sentence: The fireman died due to excessive bleeding and smoke inhalation. It took firemen five hours to pull his body out of the debris.

Additional Information

• The meaning of the other words given in the options as follows:
• Towering: very high and making people feel respect.
• Example: Laurence Olivier's Othello was a towering performance.​
• Lavish: large in quantity and expensive or impressive.
• Example: The evening was a lavish affair with glorious food and an endless supply of champagne.
• Exorbitant: Exorbitant prices, demands, etc. are much too large.
• Example: The bill for dinner was exorbitant.

The correct answer is 'revolutionary'. 

Key Points

• In the given question the word 'revolutionary' fits the best.
• Revolutionary: a revolutionary product, process, or idea is new and exciting and not like anything that has existed or been done before. 
• Example: This is a revolutionary device that will leapfrog current technology.
• By reading the above definition we find that the correct word is 'revolutionary'.
• The other words do not fit in the given fill in the blank. Hence, Options 1, 2, and 4 are incorrect.

 

Correct Sentence:  The scientist, who is known for his revolutionary ideas on space travel, is much admired. 

Additional Information

• The meaning of the other words given in the options as follows: 
• Ridiculous: stupid or unreasonable and deserving to be laughed at​. 
• Example: It's ridiculous to expect a two-year-old to be able to read!
• Anarchist: someone who wishes to destroy the existing government and laws.
• Example: He was a poet, an anarchist, and a vegan.
• Malicious: intended to harm or upset other people. 
• Example: He was charged with malicious wounding.

The correct answer is 'Appease'. 

Key Points

• The exact antonym of the given word 'Provoke' is 'Appease'.
• Provoke: to make or try to make a person or an animal angry. 
• Example: He was trying to provoke me into a fight.
• Appease: to prevent further disagreement in arguments or war by giving to the opposing side an advantage that they have demanded. 
• Example: She claimed that the government had only changed the law in order to appease their critics.
• By reading the above definition we find that the correct answer is Option 3.

 

Correct Answer: Appease. 

Additional Information

• The meaning of other words given in the Option as follows: 
• Encourage: to make someone more likely to do something, or to make something more likely to happen​.
• Example: The council is encouraging the development of the property for both employment and recreation.
• ​Beckon: to move your hand or head in a way that tells someone to come nearer. 
• Example: The customs official beckoned the woman to his counter.
• Stimulate: to encourage something to grow, develop, or become active. 
• Example: The government plans to cut taxes in order to stimulate the economy.

The correct answer is 'Grammer'. 

Key Points

• In the given question Option 1 is incorrectly spelled.
• The correct spelling is 'Grammar'.
• Grammar: (the study or use of) the rules about how words change their form and combine with other words to make sentences. 
• Example: These books give very good grammar coverage.

 

Correct Answer: Grammer.  

Additional Information

• The meaning of the other word as follows: 
• Permanent: Something that is permanent exists or happens all the time. 
• Example: The accident left him with permanent brain damage.
• Disapprove: to feel that something or someone is bad, wrong, etc.​
• Example: I strongly disapprove of underage drinking.
• Allegation: a statement, made without giving proof, that someone has done something wrong or illegal​. 
• Example: Several of her patients have made allegations of professional misconduct against her.

The correct answer is 'who was struck'. 

Key Points

• The given sentence requires improvement.
• 'whose were struck' should be changed into 'who was struck'.
• 'Who' is a relative pronoun. 'Whose' is used for the plural subject. Whereas, 'who' should be used.
• We know that relative pronouns are used as a subject of a subordinate clause.
• In the given sentence subject 'Shivangini' is a singular subject.
• Therefore, a singular form of the verb 'was' should be used.
• Hence, the correct answer is 'who was struck'.

 

Correct Sentence: Doctors at the AIIMS Trauma Centre managed to save the life of 12-year-old archer Shivangini, who was struck by an arrow in the neck during a practice session.

The correct answer is 'repulsive'. 

Key Points

• The given sentence particularly belongs to the category of fill in the blank.
• The correct answer to the given question is 'repulsive'.
• Repulsive: extremely unpleasant or unacceptable.
• Example: I think rats and snakes are repulsive.
• The act of making fun of a beggar in itself is very repugnant. In the given question only Option 4 is the most appropriate.
• Therefore, The correct answer is 'repulsive'.

 

Correct Answer: I found the scene of some people making fun of a beggar quite repulsive.  

Additional Information

• The meaning of the other words given in the option as follows: 
• Admirable: deserving respect or approval.
• Example: The police did an admirable job in keeping the fans calm.
• Destructive: causing, or able to cause, damage.
• Example: Lack of trust is very destructive in a relationship.
• Sociable: Sociable people like to meet and spend time with other people.
• Example: I had a headache and I wasn't feeling very sociable.

The correct answer is ''isn't she''.

Key Points

• The underlined Part ''aren't she'' is grammatically wrong.
• It should have ''isn't''.
• We know that singular question tag is followed by a singular negative question tag.
• Therefore, the correct answer is Option 3.

 

Correct Sentence: She is quite capable of looking after herself, isn't she? 

Additional Information

• If the sentences start with ''Let's'' (Let us) then ''shall we?'' should be used as a question tag.
• Example: Let's walk, shall we?

The correct answer is 'worst than'.

Key Points

• The erroneous Part 'worst than' should have 'worse than' instead.
• We know that ''than'' is used with the comparative and 'of' and 'among' is used superlative degree.
• Here, in the given sentence 'worst' is the superlative degree of 'bad'.
• Whereas, the given sentence needs a comparative degree of 'bad' that is 'worse'.
• Therefore, Option 3 is the correct answer.

 

Correct Sentence: The performance of our players is worse than I had expected. 

Additional Information

• We should avoid using double comparatives and superlatives in a sentence together. 

• Alexander was more taller than John. 

• Alexander was taller than John.

The correct answer is 'Get involved in an activity because it is likely to succeed'. 

Key Points

• The correct answer of the given idiom is 'Get involved in an activity because it is likely to succeed'.
• Jump on the bandwagon: If you ‘jump on the bandwagon’, you join a growing movement in support of someone or something when that movement is seen to be about to become successful.
• Example: So many people are trying to quit smoking that I might as well jump on the bandwagon and quit as well.

 

Correct Answer: Get involved in an activity because it is likely to succeed.

The correct answer is 'Make a bad situation even worse'. 

Key Points

• The correct answer to the given idiom is 'Make a bad situation even worse'.
• Meanings of the given idiom as follows: 
• to make a bad situation worse, to further hurt the feelings of someone who has already been hurt, to worsen an unfavorable or uncomfortable situation, to add to a loss with mockery or indignity.
• All these meanings are interchangeable therefore, all the meanings are correct and we need to remember all of them.

 

Correct Answer: Make a bad situation even worse. 

• We tend to mark option 1 but it would be wrong because the correct meaning of the given idiom is Option 3.

 Add insult to injury: जले पर नमक छिड़कना (ऐसा काम करना जिससे दु:खी और दु:खी हो।)

The correct answer is 'Migration'. 

Key Points

• The correct one word of the given statement is 'Migration'.
• Migration: the process of animals traveling to a different place, usually when the season changes. 
• Example: Christmas Island is known for its annual migration of 50 million bright red land crabs from the forest to the sea.

 

Correct Answer: Migration.

Additional Information

• The meaning of the other words given in the options as follows: 
• Acclimatization: the process of changing to suit different conditions of life, weather, etc., or the act of making someone or something do this. 
• Example: Inadequate acclimatization may lead to altitude sickness above 8,000 ft.
• Diversification: the process of starting to include more different types of things.
• Example: Diversification of your investments lowers risk.
• Population: all the people living in a particular country, area, or place.
• Example: Ten percent of the population lived in poverty.

The correct answer is 'Bias.' 

Key Points

• The meaning of 'Prejudice' is an ​unfair and unreasonable opinion or feeling, especially when formed without enough thought or knowledge**.**
• 'Prejudice' का अर्थ एक अनुचित राय या भावना है, खासकर जब पर्याप्त विचार या ज्ञान के बिना बनाया गया हो। 
• ​​Example*: Laws against racial prejudice must be strictly enforced.*
• Let us explore the meaning of the given words:
• Advantage: a condition giving a greater chance of success. (सफलता की अधिक संभावना देने वाली स्थिति।)
• Tolerance: the ability or willingness to tolerate the existence of opinions or behaviour that one dislikes or disagrees with. (राय या व्यवहार के अस्तित्व को सहन करने की क्षमता या इच्छा जिसे कोई नापसंद या असहमत करता है।)
• Bias: inclination or prejudice for or against one person or group, especially in a way considered to be unfair. (एक व्यक्ति या समूह के लिए या उसके खिलाफ झुकाव या पूर्वाग्रह, विशेष रूप से जो अनुचित माना जाता है।)
• Justice: fairness in the way people are dealt with. (लोगों के साथ व्यवहार करने के तरीके में निष्पक्षता।)
• By reading the above definitions we find that the correct answer is 'Bias'.
• Therefore, the exact synonym of the given word 'Prejudice' is 'Bias.'

Additional Information

Let us see the use of the given words in a sentence:

The correct answer is 'Commend'. 

Key Points

• The exact antonym of the given word 'Disapprove' is 'Commend'.
• 'Disapprove': to feel that something or someone is bad, wrong, etc.
• Example: I strongly disapprove of underage drinking.
• 'Commend': to formally praise someone or something.
• Example: For a low-budget film, it has much to commend it.
• By reading the above definition we can infer that the correct answer is 'Commend'.

 

Correct Answer: Commend. 

Additional Information

• The meanings of the other words given in the options as follows: 
• Oppose: to disagree with something or someone, often by speaking or fighting against it, him, or her.
• Example: The proposed new testing system has been vigorously opposed by teachers.​
• Neglect: to not give enough care or attention to people or things that are your responsibility​.
• Example: She's been neglecting her studies this semester.​
• Refuse: to say that you will not do or accept something​.
• Example: He asked me to give him another loan, but I refused.

The correct answer is 'Oppression'. 

Key Points

• The exact synonym of the given word 'Persecution' is 'Oppression'.
• Persecution: unfair or cruel treatment over a long period of time because of race, religion, or political beliefs.
• Example: They left the country out of fear of persecution.
• Oppression: a situation in which people are governed in an unfair and cruel way and prevented from having opportunities and freedom.
• Example: Every human being has the right to freedom from oppression.
• By reading the above definitions we can infer that the correct answer is Option 4.

 

Correct Answer: Oppression. 

Additional Information

• The meaning of other options as follows: 
• Perfection: the state of being complete and correct in every way.
• Example: In his quest for physical perfection, he spends hours in the gym.
• Affliction: something that makes you suffer​.
• Example: Malnutrition is one of the common afflictions of the poor.
• Stimulation: an action or thing that causes someone or something to become more active or enthusiastic, or to develop or operate​.
• Example: Electric stimulation can help to heal fractured bones.

The correct answer is to look within. 

Key Points

• The erroneous Part should have 'to look into' instead of 'to look within'.
• 'Look into' is a correct phrasal verb.
• Look into: to try to discover the facts about something such as a problem or a crime 
• Example: I wrote a letter of complaint, and the airline has promised to look into the matter.
• ​Therefore, the correct answer is Option 4.

 

Correct Sentence: A panel has been formed to look into the security needs of college students. 

Additional Information

• The other Phrasal Verbs of the word 'look' as follows: 
• Look after:  to take care of​.
• Example: Rahul should look after his parents.
• Look ahead: to think about and plan the future.​
• Example: We need to look ahead at building social cohesion.
• Look forward to: to feel excited and happy about something that is going to happen​.
• Example: He's looking forward to starting his new job.
• ​Look through: to examine something, usually quickly. 
• Example:  Look through the catalog and find this picture.

The correct answer is 'Astrologer'. 

Key Points

• Astrologer: a person who uses astrology to tell others about their character or to predict their future.
• Example: He was advised by astrologers to delay his departure.
• ​Therefore, the correct answer is Option 3.

 

Correct Answer: Astrologer. 

Additional Information

• Philanthropist: a person who seeks to promote the welfare of others, especially by the generous donation of money to good causes.
• Example: The trust was founded by an American philanthropist.
• ​Personification: the attribution of a personal nature or human characteristics to something non-human, or the representation of an abstract quality in human form.
• Example: The book provides a sustained account of how literary personification works.
• Miser: a person who hoards wealth and spends as little money as possible.
• Example: A typical miser hid his money in the house in various places.

The correct answer is 'DCBA'.

Key Points

• Only Part D can be the first sentence because the first statement of a para jumble question is usually a general statement, noun, most, once, a universal fact, or starting of an incident, etc.
• In the given question only Part D starts with a Noun that is Rome. It is also a general statement.
• Part C should be the next sentence because it explains Part D.
• Therefore, Part C and Part D make a pair. And only Option 4 starts with Part D and Part D should be followed by Part C.
• Hence, the correct answer is DCBA.

​

Correct Answer: DCBA.

Given series:

8, 17, 9, 19, 10, 21, ?, ?

The pattern followed here is:

Hence, 11 and 23 is the correct answer.

The meaning of the given words are:

Oyster: A  shellfish

Shark: A large sea fish with sharp teeth.

Salmon: A large fish with silver skin

Cod: A large sea fish that lives in the North Atlantic

All the above words are examples of sea fish except Oyster which is a shell fish.

Hence, Oyster is the odd one.

According to the given coded form, the pattern followed here is:

Similarly,

Hence, TUVT is the coded form of SOUP

Given series:

8, 11, 17, 26, 38, 53, ? 

The pattern followed here is:

Hence, 71 will replace the question mark.

The image is hidden in the following diagram:

Hence, option 1 has an embedded figure.

According to the given folded image:

The unfolded pattern will be like:

 →

 

Hence, option 4 is the correct unfolded pattern.

Four letter - clusters have been given:

NGMAO → MANGO

CNILPE → PENCIL

ANNABA → BANANA

APELP → APPLE

All are the names of the fruits except, Pencil which is a stationary item.

Hence, CNILPE is different from all.

The pattern followed here is:

10³ + 10 = 1010:

Similarly,

11³ + 11 = 1342

Hence, 1342 is the correct answer.

In the given relationship, the animal and its group has been given.

The group of sheep is known as Flock.

Similarly,

The group of fish is known as shoaling.

Other options are not matching in the given relationship.

Hence, Fish : Shoal is the correct answer.

Given:

Statements:

I. Some books are tables.

II. All tables are chairs.

According to the statement:

Conclusions:

I. All books are chairs (False, It can be true but not definite.)

II. Some books are chairs (True, as it is in the statement that some books are tables and all the tables are chairs hence some books are chairs)

III. Some tables are book (True, as stated in the statement)

IV. All chairs are book (False, as only some books are table and table is inside the chair hence all chairs can't be books)

From the given statement the diagram is:

Hence, Only conclusion II and III follow.

Let the no. of fruit be denoted from F

Let the number of vegetables be denoted from V

According to the question:

V = 3F

If F = 1 then, V = 3

and V + F = 4

This means the sum of fruit and vegetables can be able to divide.

From the options only 60 is correct.

Hence, 60 is the correct answer.

According to the English Alphabet series and its positional value

The pattern followed is:

S + I + T+ U + A + T + I + O + N + 5;

19 + 9 + 20 + 21 + 1 + 20 + 9 + 15 + 14 + 5 = 133

Similarly,

CONSTITUTION be written as:

C + O + N + S + T + I + T + U + T + I + O + N + 5;

3 + 15 + 14 + 19 + 20 + 9 + 20 + 21 + 20 + 9 + 15 + 14 + 5 = 184

Hence, 184 is the correct answer.

The count of triangles in the figure is:

 

 

Hence there are 38 triangles in the diagram.

from dice,

 and 

1. We get, 3 is the Opposite side of 6, as 5 and 2 are there.  2. 

 and 

we get, 1 is the Opposite side of 2, as 5 and 3 are there. 

so, as per the option, we can say that 4 must be the opposite face of 5.

 and 

From dice 2 and 3 as 6 is constant so, if we rotate anticlockwise/clockwise direction then we get

1 → 2

5 → 4

So, 4 will come opposite to 5.

Given series:

a_ ccde _ bc _ eaabc _ _ aabc _ee

Using option 1)

aacccdeb / debccdee / aabcaace / aabccdee

No logical pattern is formed.

Using option 2)

aabccdec / debccdee / aabcecde / aabcaaee

No logical pattern is formed

Using option 3)

aabccdee / aabccdee / aabccdee / aabccdee

Logical pattern followed

Using option 4)

aabccdeb / aabccdee / aabcecde / aabccdee

No pattern followed.

Hence, abeaacdecdeecd is the correct answer.

The diagram and symbols are:

According to the question:

Hence, Arvind is the Father-in-law of Shikha.

The given arrangements is of different body parts.

First eyes comes on top, then shoulder, then elbow

then knee and feet at the bottom.

The arrangement will be either top to bottom or bottom to top.

From the option only top to bottom arrangement is given.

Hence, correct order is 3, 2, 1, 5, 4.

According to the given option:

529 = 23²

49 = 7²

9 = 3²

8 = 2³

All are based on square, only one is cube based.

Hence, 8 is the odd one.

In the given figure:

The shaded part is moving anticlockwise by skipping one space.

Hence, option 2 will be the next figure.

LOGIC:

Second number = (Third number)² - (First Number)³

The pattern followed here is:

7² - 2³ ;

49 - 8 = 41

Similarly,

11² - 4³ ;

121 - 64 = 57

Other options are not following the pattern.

Hence, the correct answer is "(4, 57, 11)".

Interchanging two signs according to the question:

Option 1

6 + 7 × 8 ÷ 21 - 7

Using BODMAS rule:

6 + 7 × 0.38 - 7

Not possible because decimal places are not in R.H.S

Option 2

6 × 7 + 8 - 21 ÷ 7

Using BODMAS rule:

42 + 8 - 3

47

It is true for RHS

Option 3

6 + 7 ÷ 8 - 21 × 7

6 + 0.8 - 21 × 7

Not possible because decimal places are not in RHS.

Option 4

6 - 7 × 8 + 21 ÷ 7

6 - 56 + 3

-47

Not possible because there is no negative sign in RHS.

Hence, option 2 is correct.

According to the English Alphabet series:

  

In the given word, the pattern followed is:

Similarly,

Hence, ZYXC is the correct answer.

The mirror image of the given figure will be:

→

Hence, option 1 is correct.

The given relationship of the same family animal.

Tiger and cats related to Felidae family.

Similarly,

Foxes are the closest ancestor of dogs.

Hence, Fox will be the correct option.

Additional information: 

Jaguar : related to Felidae family

Lynx : related to Felidae family.

According to the given information:

Cow and dogs are animal.

But they are different from each other.

So, the Venn diagram for them will be the circle as a animal class consisting two circle, one of dog and other of cat.

Hence, Option 3 is correct.

Given:

Total amount = Rs. 18,144

Ratio of three people in this amount = 3 ∶ 5 ∶ 8

Calculation:

Let the share of A, B, and C be 3x, 5x, and 8x respectively.

Sum of share of A, B, and C = Total amount

⇒ 3x + 5x + 8x = 18,144

⇒ 16x = 18,144

⇒ x = 1,134

The share of A = 3x

⇒ 3 × 1,134

⇒ 3,402

The share of B = 5x

⇒ 5 × 1,134

⇒ 5,670

The share of C = 8x

⇒ 8 × 1,134

⇒ 9,072

B gets more amount than A = The share of B – The share of A

⇒ 5,670 – 3,402

⇒ 2,268

∴ B gets Rs. 2,268 more than A.

Shortcut Trick

Three people A, B, C in the ratio 3 : 5 : 8

Difference between A & B is (5 - 3) = 2 unit

So, (3 + 5 + 8) = 16 unit → 18144

Then, 2 unit → 18144/16 × 2 = 2268

Given:

The difference between the selling prices of some articles if sold for Rs. 12 per article instead of Rs. 9 per article is Rs. 150

Total cost price = Rs. 250

Formula Used:

Cost price per article = Total cost price/Number of article

Selling price = Number of article × Cost price × (100 + profit %)/100

Calculation:

Let the number of article be x.

Selling price at Rs. 12 per article – Selling price at Rs. 9 per article = 150

⇒ 12x – 9x = 150

⇒ 3x = 150

⇒ x = 50

Cost price per article = Total cost price/Number of article

⇒ 250/50

⇒ Rs. 5

Selling price = Number of article × Cost price × (100 + profit %)/100

⇒ 21 × 5 × (100 + 20)/100

⇒ 105 × 120/100

⇒ 126

∴ The selling price of 21 articles with 20% profit is Rs. 126.

Average marks in Maths = (86 + 69 + 60 + 70 + 78 + 92)/6

⇒ 455/6

⇒ 75.8

3 students have more marks than the average marks.

Average marks in Economics = (98 + 58 + 70 + 80 + 73 + 74)/6

⇒ 453/6

⇒ 75.5

2 students have more marks than the average marks.

Average marks in Commerce = (76 + 66 + 84 + 65 + 82 + 68)/6

⇒ 441/6

⇒ 73.5

3 students have more marks than the average marks.

Average marks in Civil = (96 + 75 + 78 + 83 + 93 + 87)/6

⇒ 512/6

⇒ 85.3

3 students have more marks than the average marks.

∴ Only 2 students crossed the average marks in Economics.

Given:

Total sum of simple interest on the loan for 3 years at r% and Simple interest on double the amount for next 5 years at (r – 2)% is 13,600.

Simple interest for 34/3 years on initial loan and initial rate is 13,600

Formula Used:

Simple Interest = P × r × t/100

Where P → Principal amount

r → Rate of interest

t → Time

Calculation:

Simple interest on the loan for 3 years at r% + Simple interest on double the loan amount for next 5 years at (r – 2)% = 13,600

⇒ [P × r × 3/100] + [2 × P × (r – 2) × 5/100] = 13,600

⇒ 3 × P × r + 10 × P × r – 20 × P = 13,600 × 100

⇒ 13 × P × r – 20 × P = 13,60,000      ---- (1)

Simple interest for 34/3 years on initial loan and initial rate = 13,600

⇒ (P × r × 34)/(3 × 100) = 13,600

⇒ P × r = 1,20,000      ---- (2)

Put the value of eq. (2) in eq. (1)

⇒ 13 × 1,20,000 – 20 × P = 13,60,000

⇒ 20 × P = 15,60,000 – 13,60,000

⇒ P = 2,00,000/20

⇒ P = 10,000

∴ The initial loan amount is Rs. 10,000.

Given:

A tan62° sec28° cot38°/ cosec62° tan11° = 1

Concept:

If a + b = 90°, then tan a = cot b, and cosec a = sec b

tan a = 1/cot a

Calculation:

A tan62° sec28° cot38°/ cosec62° tan11° = 1

⇒ A = (cosec62° tan11°)/(tan62° sec28° cot38°)

⇒ A = (sec28° cot79°)/(cot28° sec28° cot38°)

⇒ A = cot79°/(cot28° cot38°)

⇒ A = (tan28° tan38°)/tan79°        

∴ The value of A is tan28° tan38°/tan79°.  

Additional Information

Concept:

√a × √b = √(a × b)   

Calculation: 

5√3 + 7√2 – √6 – 23/(√2 + √3 + √6)

⇒ [(5√3 + 7√2 – √6) × (√2 + √3 + √6) – 23]/ (√2 + √3 + √6)

⇒ (5√6 + 15 + 15√2 + 14 + 7√6 + 14√3 – 2√3 – 3√2 – 6 – 23)/ (√2 + √3 + √6)

⇒ (12√6 + 12√2 + 12√3)/ (√2 + √3 + √6)

⇒ 12

∴ The required value is 12.

Given:

A and B are acute angles.

sec A = 3 and cot B = 4

Formula used:

sec A = (Hypotenuse/Base), cosec A = (Hypotenuse/Perpendicular), cot A = (Base/Perpendicular)

cot B = (Base/Perpendicular), sin B = (Perpendicular/Hypotenuse), sec B = (Base/Hypotenuse)

Concept used:

Pythagoras theorem.

A and B are the angles of different right angle triangles.

Calculations:

sec A = 3

⇒ Hypotenuse = 3, Base = 1

By Pythagoras theorem,

⇒ Perpendicular = 2√2

cot B = 4

⇒ Base = 4, Perpendicular = 1

By Pythagoras theorem,

⇒ Hypotenuse = √17

Now,

(cosec² A + sin² B)/(cot² A + sec² B)

⇒ {(3/2√2)² + (1/√17)²}/{(1/2√2)² + (√17/4)²}

⇒ {(9/8) + (1/17)}/{(1/8) + (17/16)}

⇒ (161/136)/(19/16)

⇒ 322/323

∴ The value of '(cosec2 A + sin2 B)/(cot2 A + sec2 B)' is (322/323).

Given:

27 people, working 8 hours a day, can complete a task in 12 days.

Formula used:

(M₁ × D₁ × H₁)/W₁ = (M₂ × D₂ × H₂)/W₂,      where M, D, H, and W is the number of men, days, hours, and amount of work respectively. 

Calculations:

⇒ Let the number of days required to complete the task by 18 people, working 9 hours per day is 'd'.

(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W₂

⇒ (M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2

⇒ (27 × 12 × 8)/1 = (18 × d × 9)/1

⇒ d = 16

∴ The number of days required to complete the task by 18 people, working 9 hours per day is '16'.

Given:

AD = 3, DE = 4, AB = 12, BF = 2, FG = 6, BC = 10

M is the area of the quadrilateral FGDE and N is the area of the triangle ABC.

Formula used:

Area of triangle = 1/2 × Multiple of adjacent sides × sin(Angle between those sides)

Calculations:

Area of ΔEBF = 1/2 × BE × BF × sinB

⇒ 1/2 × 5 × 2 × sinB      (BE = AB -  AD - DE)

⇒ 5 × sinB

Area of ΔDBG = 1/2 × BD × BG × sinB

⇒ 1/2 × 9 × 8 × sinB      

⇒ 36 × sinB

Area of ΔABC = 1/2 × BA × BC × sinB

⇒ 1/2 × 12 × 10 × sinB      

⇒ 60 × sinB

Area of quadrilateral FGDE(M) = Area of ΔDBG - Area of ΔEBF

⇒ 36sinB - 5sinB

⇒ 31sinB

Area of ΔABC(N) = 60sinB

⇒ M/N = (31sinB)/(60sinB)

⇒ 31/60

∴ The value of (M/N) is 31/60.

Given:

ABCDE is a regular pentagon.

Formula used:

In a regular polygon of side 'n',

Each angle = {(n - 2) × 180°}/n

Concept used:

Sum of two angles forming a linear pair is 180°.

Sum of interior angles of Δ is 180°.

Calculations:

Each interior angle of the regular pentagon ABCDE = {(n - 2) × 180°}/n

⇒ {(5 - 2) × 180°}/5

⇒ {3 × 180°}/5

⇒ 108° 

⇒ ∠ABC = 108°

⇒ ∠BAE = 108°      ----(1)

⇒ ∠BAJ + ∠BAE = 180°      (∵ Sum of two angles forming a linear pair is 180°.)

⇒ ∠BAJ + 108° = 180°      

⇒ ∠BAJ = 72°      ----(2)

Similarly, 

⇒ ∠GED = 72°, ∠GDE = 72°

⇒ ∠GED + ∠GDE + ∠EGD = 180°      (∵ Sum of interior angles of Δ is 180°.)

⇒ ∠EGD = 36°      ----(3)

From (1), (2) and (3),

⇒ (∠ABC + 2∠EGD + 3∠BAJ)/6

⇒ (108° + 2 × 36° + 3 × 72°)/6

⇒ 66° 

∴ The value of (∠ABC + 2∠EGD + 3∠BAJ)/6 is 66°.

Given:

∠CDE = 85°; ∠DCF = 94°

Concept used:

Sum of two angles forming a linear pair is 180°.

Sum of opposite angle of cyclic quadrilateral is 180°.

Calculations:

∠CDE + ∠ADC = 180°      (∵ Sum of two angles forming a linear pair is 180°.)

⇒ 85° + ∠ADC = 180°

⇒ ∠ADC = 95°

Now,

∠ABC + ∠ADC = 180°      (∵ Sum of opposite angle of cyclic quadrilateral is 180°.)

⇒ ∠ABC + 95° = 180°

⇒ ∠ABC = 85°

⇒ ∠ABF = 85°      ----(1)

Similarly,

⇒ ∠EAB = 94°      ----(2) 

From (1) and (2),

⇒ ∠ABF + ∠EAB = 179°

∴ The value of ∠ABF + ∠EAB is 179°.

Average production by company A = (23 + 26 + 28 + 25 + 30)/5

⇒ 26.4      

Average production by company B = (25 + 29 + 27 + 35 + 31)/5

⇒ 29.4

Average production by company C = (28 + 31 + 36 + 28 + 35)/5

⇒ 31.6

Average production by company D = (32 + 35 + 40 + 46 + 50)/5

⇒ 40.6

We can clearly see that, 

Highest average production = D

Lowest average production = A

∴ The average production is highest in company D and lowest in the company A.

Given:

A crate of fruits contains one spoiled fruit for every 25 fruits.

60% of the spoiled fruits were sold.

The seller had sold 48 spoiled fruits.

Formula used:

Number of unspoiled fruits = Total fruits - Spoiled fruits

Calculations:

Let the total number of fruits in the crate be 'x'.

According to the question,

Number of spoiled fruits sold = 48

⇒ x × (1/25) × (60/100) = 48

⇒ x = 2000

∴ The number of fruits is 2000.

Shortcut Trick

According to the question,

⇒ 60% → 48 spoiled fruit

Then, 100% → 48/60 × 100 = 80 spoiled fruit

So, the seller had a total number of spoiled fruit is 80

Now, 1 spoiled fruit for every 25 fruits

Then, 80 spoiled fruit for (25 × 80) = 2000 fruits

Given:

Base area of the tank =180 m × 140 m

Area of cross-section of the pipe = 1.2 m × 0.75 m

Velocity of flow = 15 km / h.

Formula used:

Discharge of water = Volume of a tank upto water level in the tank.

Discharge of water = Area of cross-section of pipe × Velocity of flow

Calculations:

Let in 'x' hours the water level in the tank rise by 4 m.

Discharge of water = Volume of a tank upto water level in the tank.

Discharge of water = Area of cross-section of pipe × Velocity of flow

From above two formulae,

⇒ Area of cross-section of pipe × Velocity of flow = Volume of a tank upto water level in the tank

⇒ 1.2 × 0.75 × 15000 × x = 180 × 140 × 4

⇒ x = 112/15

⇒ x = 7 hours 28 minutes

∴ The water level in the tank rise by 4 m in 7 hours 28 minutes.

Given:

Discount₁% (D₁%) = 20%

Discount₂% (D₂%) = x%

Overall discount% (D%) = 24%

Formula used:

SP = MP × (100 – D%)/100

Where SP is selling price, MP is marked price and D% is discount%

Calculation:

Let the marked price be 100

SP after first discount = MP × (100 – D₁%)/100

⇒ SP after first discount = 100 × (100 – 20)/100

⇒ SP after first discount = 80

SP after second discount = SP after first discount × (100 – D₂%)/100

⇒ SP after second discount = 80 × (100 – x)/100

⇒ SP after second discount = (100 – x) × 4/5

SP after overall discount = MP × (100 – D%)/100

⇒ SP after overall discount = 100 × (100 – 24)/100

⇒ SP after overall discount = 76

SP after second discount = 76

⇒ (100 – x) × 4/5 = 76

⇒ 100 – x = 76 × (4/5)

⇒ 100 – x = 95

⇒ x = 100 – 95

⇒ x = 5

∴ x% is 5%

By using successive formula for percentage change = (x + y + xy/100)%

Overall discount% = –D₁ –D₂ + [–D₁ × (–D₂)]/100 (Here negative sign is to represent percentage decrease) 

⇒ –24 = –20 –x + [–20 × (–x)]/100

⇒ –24 = –20 –x + x/5

⇒ x – x/5 = 4

⇒ 4x/5 = 4

∴ x% is 5%

Given:

Speed of first train while travelling from P to Q = 126 km/hr

Speed of first train while travelling from Q to P = 90 km/hr

Another train travels with the average speed of first train.

Distance to be covered by second train = 525 km

Formula used:

Time = Distance/Speed

Average speed = Total Distance/Total time

Calculation:

Let the distance between P and Q be D km

Time taken by first train to travel P to Q = D/126 hours

Time taken by first train to travel Q to P = D/90 hours

Total time taken by first train = D/126 + D/90 = 12D/630

Average speed of first train = Total Distance/Total time

⇒ Average speed of first train = 2D/(12D/630)

⇒ Average speed of first train = 630/6

⇒ Average speed of first train = 105 km/hr

Speed of second train = average speed of first train = 105 km/hr

Time taken by second train = Distance/Speed = 525/105

⇒ Time taken by second train = 5 hours

∴ Time taken by first train to travel 525 km is 5 hours

Alternate Method

**Formula used:**Average speed of a train when it travels the same distance with different speed = (2 × S₁ × S₂)/(S₁ + S₂)

Where S₁ and S₂ are speed of the train travelling the same distance.

Calculation:

Average speed of first train = (2 × 126 × 90)/(126 + 90)

⇒ Average speed of first train = 22680/216

⇒ Average speed of first train = 105 km/hr

Speed of second train = average speed of first train = 105 km/hr

Time taken by second train = Distance/Speed = 525/105

⇒ Time taken by second train = 5 hours

∴ Time taken by first train to travel 525 km is 5 hours

Concept used:

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

Now,

Calculation:

$\left[ 5 \frac 4 9 ÷ \left( \frac {11} 4 - \frac {13} 6 \right)^2 \right] ÷ [7\frac 3 {11}: of: 8 \frac 4 5 \div 1 \frac 5 7 - \frac 4 3]^2$

$\Rightarrow ;\left[ {\frac{{49}}{9}; \div ;{{\left( {\frac{{33; - ;26}}{{12}}} \right)}^2}} \right]; \div ;{\left[ {\frac{{80}}{{11}};of;\frac{{44}}{5}; \div ;\frac{{12}}{7}; - ;\frac{4}{3}} \right]^2}$

$\Rightarrow ;\left[ {\frac{{49}}{9}; \times ;\frac{{144}}{{49}};} \right]; \div {\left[ {64; \times ;\frac{7}{{12}}; - ;\frac{4}{3}} \right]^2}$

⇒ 16 ÷ [112/3 – 4/3]²

⇒ 16 ÷ 36²

⇒ 16/1296

∴ 1/81

Given:

tan4 x - tan2 x = 1

Formula used:

sec²x = 1 + tan²x

tanx = sinx/cosx

sin²x + cos²x = 1

Calcuation:

tan4 x - tan2 x = 1

⇒ tan4 x = 1 + tan2 x

⇒ tan4 x = sec²x

⇒ sin⁴x/cos⁴x = 1/cos²x

⇒ sin⁴x = cos²x

We have to find the value of sin4 x + sin2 x

⇒ sin4 x + sin2 x = cos²x + sin²x

∴ sin4 x + sin2 x  is 1

Given:

Sum of 17 consecutive numbers = 289

First term of another 10 consecutive numbers is 5 more than the average of 17 consecutive numbers

Formula used:

Average = Sum of all observations/Total number of observations

Sum of A.P. = n/2 × (a + l)

Where A.P. is arithmetic progression, a is first term and l is last term

Calculation:

Average of 17 consecutive numbers = Sum of all numbers/Total numbers

⇒ Average of 17 consecutive numbers = 289/17

⇒ Average of 17 consecutive numbers = 17

First term (a) of another 10 consecutive numbers = 17 + 5 = 22

The numbers are 22, 23, 24, 25, 26, 27, 28, 29, 30, 31

Last term (l) of 10 consecutive numbers = 31

As consecutive numbers are always in A.P.

Sum of 10 numbers = n/2 × (a + l)

⇒ Sum of 10 numbers = 10/2 × (22 + 31)

⇒ Sum of 10 numbers = 5 × 53

∴ Sum of 10 consecutive numbers is 265

Given:

Formula used:

Rate of change (in percentage) = (Difference/Initial value) × 100

Where, difference = Final value – Initial value

Calculation:

Rate of change (in percentage) = (Difference of loan collected)/Interest on loan collected in 2016) × 100

Where, difference of loan collected = Interest on loan collected in 2017 – Interest on loan collected in 2016

∴ Highest rate of collection is for the branch B6

Formula used:

Area of square = Side² 

Calculation:

Let the length of Biggest square be 8x unit

Diameter of the bigger circle = Side of the biggest square =  8x unit

⇒ AB = 8x units

In ΔABC 

AB² = AC² + BC²

⇒ AB² = 2AC²

⇒ (8x)² = 2AC² 

⇒ AC² = (64x²)/2

⇒ AC² = 32x² 

⇒ AC = 4√2x units

Now, AC is the diameter of the smaller circle

⇒ EF = 4√2x units

In ΔEDF

EF² = DE² + DF² 

⇒ EF² = 2 × DE² 

⇒ (4√2x)² = 2 × DE2 

⇒ DE² = 16x

⇒ DE = 4x unit

Side of smallest square = 4x unit

Area of biggest square = (8x)² = 64x² unit² 

Area of smallest square = (4x)² = 16x² unit2 

Ratio of Area of largest square to Area of smallest square = 64x² ∶ 16x² 

∴ Area of largest square ∶ Area of smallest square is 4 ∶ 1

Given:

Given number is 1a765b12

The number is divisible by 72

Concept used:

If a number is divisible by a number x which can be expressed as p × q, where gcd(p,q) is 1, then the number is divisible by both p and q.

If a number is divisible by 8 then the number formed by the last three digits of the number is also divisible by 8.

If sum of digits of a number is divisible by 9 then the number is divisible by 9.

Calculation:

As, 1a765b12 is divisible by 72

⇒ 1a765b12 is divisible by both 8 and 9

Check the divisibility by 9

Sum of digits = 1 + a + 7 + 6 + 5 + b + 1 + 2 = 22 + a + b

As we need to calculate the least value of the expression then closest value to 22 which is divisible by 9 is 27.

⇒ 22 + a + b = 27

⇒ a + b = 5

Check the divisibility by 8

Last three digits i.e. b12 should be divisible by 8

For b = 0, 012 = 12 is not divisible by 8

For b = 1, 112 is divisible by 8

least value of b is 1

⇒ a + 1 = 5

⇒ a = 4

We have to find the least value of 2a + 3b

⇒ 2 × 4 + 3 × 1

∴ Least value of 2a + 3b is 11

GIVEN:

$\frac {3^{a+3} \times 4^{a+6} \times 25^{a+1}}{27^{a-1}\times 8^{a-2}\times 125^{a+4}} = \frac {4}{15^{26}}$

CONCEPT USED:

CALCULATION:

$\frac {3^{a+3} \times 4^{a+6} \times 25^{a+1}}{27^{a-1}\times 8^{a-2}\times 125^{a+4}} = \frac {4}{15^{26}}$

$⇒ \frac{{{3^a} \times {3^3} \times {4^a} \times {4^6} \times {5^{2a}} \times {5^2}}}{{{3^{3a}} \times {3^{ - 3}} \times {2^{3a}} \times {2^{ - 6}} \times {5^{3a}} \times {5^{12}}}} = ;\frac{4}{{{{15}^{26}}}}$

$⇒ \frac{{{3^{a - 3a}} \times {3^6} \times {2^{2a + 12}} \times {5^{ - a}} \times {5^{ - 10}}}}{{{2^{3a - 6}}}} = {2^2} \times {5^{ - 26}} \times {3^{ - 26}}$

$⇒ ;{3^{ - 2a + 6}} \times ;{2^{ - a + 18}} \times {5^{ - a - 10}} = {2^2} \times {5^{ - 26}} \times {3^{ - 26}}$

On comparing exponent of 3, 2, and 5 both side

⇒ -2a + 6 = -26

⇒ -2a = -32

⇒ a = 16

⇒ √a + 9

⇒ √16 + 9

⇒ √25

∴ √a + 9 = 5

GIVEN:

x + y = 14 and x3 + y3 = 1064 and xy = 40

FORMULA USED:

(x³ + y³) = (x + y) (x² + y² - xy) and (x - y)² = (x² + y² - 2xy)

CALCULATION:

 (x3 + y3) = (x + y) (x2 + y2 - xy)

⇒ 1064 = 14 × ( x2 + y2- 2xy + xy)

⇒ 76 = (x - y)² + xy

⇒ 76 - 40 = (x - y)²

⇒ (x - y)² = 36

∴ (x - y)2 = 36

Shortcut Trick

According to the question, x + y = 14 and xy = 40,

So, we can assume x = 10 and y = 4,

Which satisfies the given equation x3 + y3 = 1064

Now, the value of (x - y)²  will be

⇒ (10 - 4)² = 36

 

⇒ the total number of students is 60000 

⇒ 100% = 60000

⇒ 1% = 600

⇒ Number of students in A = 18% 

⇒ 18 × 600 = 10800

⇒ Number of students in C = 20%

⇒ 20 × 600 = 12000

⇒ Number of students failed in course A & C = (24% of 10800 + 20% of 12000)

⇒ (24 × 108 + 20 × 120)

⇒ (2592 + 2400)

⇒ 4992

∴ The number of students of Courses A & C who did not pass is 4992

The Correct Answer is Rohtang Pass.

Key Points

Rohtang Pass

• It is a high mountain pass on the eastern end of the Pir Panjal Range of the Himalayas around 51 km from Manali.
• It connects the Kullu Valley with the Lahaul and Spiti Valleys of Himachal Pradesh.
• It links Manali and Leh by road.

Mistake PointsThere is confusion between Baralacha Pass and Rohtang Pass, but Rohtang Pass is the official answer given by SSC.

Important Points

Banihal Pass

• Banihal Pass is a mountain pass across the Pir Panjal Range at a maximum elevation of 2,832 m.
• It connects the Kashmir Valley in the union territory of Jammu and Kashmir to the outer Himalayas and the plains to the south.

Baralachala Pass

• It is a high mountain pass in the Zanskar range, connecting the Lahaul district in Himachal Pradesh to Leh district in Ladakh.
• It is situated along the Leh–Manali Highway.

Nathula Pass

• Nathu La is a mountain pass in the Himalayas in the East Sikkim district.
• It connects the Indian state of Sikkim with China's Tibet Autonomous Region.

The correct answer is Australia.

 

Key Points

• Australia is in Number 1 position with 275 ratings.
• India is in Number 3 position with 262 ratings.

 

Additional Information

ICC:

• The International Cricket Council (ICC) is the world governing body of cricket.
• It was founded as the Imperial Cricket Conference in 1909 by representatives from Australia, England, and South Africa.
• It was renamed the International Cricket Conference in 1965 and took up its current name in 1989.
• ICC is headquartered in Dubai.