SSC CHSL Previous Paper 25 (Held On: 20 Oct 2020 Shift 3) (Previous Year Paper)

The correct answer is 'DBAC'.

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Key Points

• The sentence 'D' is independent of any other sentences as it is introducing the first step of "purchasing a product". Hence, 'D' is the first part.
• The next sentence is 'B' as the next step is "to select the brand of the product". Hence, 'B' follows 'D'.
• The next sentence is 'A' as the next step is "to add the selected product in cart". Hence, 'A' follows 'B'.
• The final sentence is 'C' as it is the final step "to enter card details for final payment of the product". Hence, the sentence 'C' is the last sentence.
  

After rearranging the sentences: Look for the product you want to purchase. Select the brand you like. Add the product to your shopping cart. Enter the card details and buy the product online.

Important Points 

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.

The correct answer is 'Offending'.

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Key Points  

• The word 'Delinquent' means offending by neglect or violation of duty or of law.
• The synonyms of the word 'Delinquent' are "offending, pervert, rogue".
• From the synonym of the given word, we can say that the word 'Offending' is the same in meaning.
• The word 'Offending' means causing problems or displeasure.
  

Hence, the correct answer is option 1. 

Let's see the meaning of other given options-

 

Additional Information

• The antonyms of the word 'Delinquent' are "saint, precocious, premature".
• Example of 'Delinquent​​​​' in a sentence:
• They are carrying out research on the causes of delinquent behaviour among young people.

The correct answer is 'is knowing for'.

Key Points

• In the given sentence, the use of the gerund form of the verb 'knowing' is incorrect.
• The given sentence is in the present simple tense of the passive voice.
• The present simple passive format is "is + V3 (known)".
• Therefore, the past participle form of the verb 'known' should be used in place of 'knowing'.

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Hence, the correct answer is option 1.

Correct Sentence: The old woman in our locality is known for her hot temper.

The correct answer is 'Trivial'.

Key Points

• The word 'Formidable' means causing fear.
• Example: The defending champion displayed a formidable performance, easily defeating all opponents and securing another victory.
• The antonyms of the word 'Formidable' are "trivial, insignificant, unimportant".
• From the antonym of the given word, we can say that the word 'Trivial' is the opposite in meaning.
• The word 'Trivial' means concerned only with trifling or unimportant things.
• Example: The professor dismissed the student's question as trivial and not worthy of further discussion.

Hence, the correct answer is option 1.

Additional Information

• Let's see the meaning of other given options:

• The synonyms of the word 'Formidable' are "scary, appalling, dangerous".
• Example of 'Formidable​' in a sentence:
• In the debate, he was a formidable opponent.

The correct answer is 'glorious'.

Key Points

• Let us explore the given options:
• 'Curious' means eager to know or learn something.
• 'Glorious' means having, worthy of or bringing fame or admiration.
• 'Spurious' means false or fake.
• 'Laborious' means requiring considerable effort and time, especially of a task, process or journey
  

Thus the correct sentence: "Even if I am killed, it will be a glorious death," he thought.

The correct answer is 'matter'.

Key Points

• Let us explore the given options:
• 'Place' means a particular position or point in space.
• 'Difference' means a point or way in which people or things are not the same.
• 'Matter' means an affair or situation under consideration.
• 'Time' means an indefinite period.
  

Thus the correct phrase: "...in a matter of three hours."

The correct answer is 'fight'.

Key Points

• Let us explore the given options:
• 'Fight' means to quarrel or argue.
• 'Think' means to have a particular opinion, belief, or idea about someone or something.
• 'Figure' means to play a significant role in a situation or event.
• 'Participate' means to take part in an action or endeavour.
  

Thus the correct phrase: He was going to fight three duels...

The correct answer is 'situation'.

Key Points

• Let us explore the given options:
• 'Relation' means the way in which two or more concepts, objects or people are connected.
• 'Situation' means a set of circumstances in which one finds oneself.
• 'Location' means a particular place or position.
• 'Station' means a place or building where a specified activity or service is based.
• 'A difficult situation'  means formal involved in a complicated or unpleasant situation that it is difficult to escape from

​

Thus the complete sentence: Tom found himself in a difficult situation.

The correct answer is 'another'.

Key Points

• Let us explore the given options:
• 'Other' means the second one of two people or things. 'Other' is used with uncountable and plural nouns.
• 'Self' is used to refer to oneself or someone else.
• 'Each' is used to refer to every one of two or more people or things, regarded and identified separately.
• 'Another' is used to refer to someone or something sharing an attribute in common with the person or thing already mentioned. 'Another' is used with a singular noun.
  

Hence the complete sentence: The two men bowed to one another and parted.

The correct answer is 'either jam or butter​'.

Key Points

• In the underlined segment, the use of the correlative conjunction "neither/nor" is incorrect.
• 'Neither/nor' is used in a sentence in the negative sense when you want to say that two or more things are not true.
• If we use 'neither', then make sure the sentence does not have any other negatives preceding it. If we prefer to use a negative, then we have to use 'either'.
• The correlative conjunction "either/or" should be used in place of "neither/nor".
• 'Either/or' is used in a sentence in the affirmative sense when referring to a choice between two possibilities.
• 'Either' is always paired with 'or' and 'neither' is always paired with 'nor'.
• In the given sentence, the Dean is giving the choice that the student can have only one of the two things - jam and butter, but not both jam and butter

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Correct Sentence: The Dean said, "You can have either jam or butter, but not both."

The correct answer is Peter said that he had broken his glasses.

Key Points

• The given sentence is a direct speech.
• The basic rules for changing or converting direct speech into indirect speech:​
• The commas and inverted commas are removed and 'that' is added.
• The past simple tense format 'Subject + V2 (broke) + Object' will be changed into the past perfect tense format 'Subject + had + V3 (broken) + Object'.
  

​

Correct sentence:  '**Peter said that he had broken his glasses.'

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Additional Information

• The following table will enable us to know how tense changes into Indirect speech:
  

 

The correct answer is 'Suddenly becoming enraged'.

Key Points

• The given sentence is an idiom. An idiom is a group of words established by usage as having a meaning not deducible from those of the individual words (e.g. over the moon, see the light ).
• Given Idiom: Flying off the handle means to become suddenly enraged.
• For example, Linda called me back and apologized for flying off the handle.
  

Mistake Points

• We may think from the phrase "Flying off the handle" that it is all about flying away, being launched from a handle, but the correct answer is option 1. So be careful while dealing with such questions.

The correct answer is 'Conviencing'.

Key Points    

• Let us explore the options:
• 'Conviencing': There is no such word in English or we can say that there is some spelling mistake in this word, correct spelling is 'Convincing',  which means capable of causing someone to believe that something is true or real.
• 'Commemorate' means to recall and show respect for someone or something.
• 'Conveyance' means the action or process of transporting someone or something from one place to another.
• 'Concussion' means temporary unconsciousness or confusion caused by a blow on the head.

The correct answer is 'come back home​'.

Key Points

• In the given sentence, the use of the base form of the verb 'come' is incorrect.
• From the latter part of the sentence, we can easily infer that the given sentence is in the simple past tense.
• The simple past is a verb tense that is used to talk about things that happened or existed before now.
• Therefore, the past tense form of the verb 'came' should be used in place of 'come'.

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Correct Sentence: When Harry came back home, he saw blood everywhere.

The correct answer is 'Different'.

Key Points

• The word 'Identical' means being one and not another.
• The antonyms of the word 'Identical' are "different, another, other".
• From the antonym of the given word, we can say that the word 'Different' is the opposite in meaning.
• The word 'Different' means not the same as another or each other.​

Additional Information

• The synonyms of the word 'Identical' are "similar, indistinguishable, corresponding".
• Example of 'Identical​​' in a sentence:
• The handwriting on both cheques is identical.

Let's see the meaning of other given options-

The correct answer is 'The thieves were arrested yesterday by the police.'

Key Points  

• In Active Voice, a sentence emphasizes the subject, performing an action.
• In Passive Voice, a sentence emphasizes the action or the object of the sentence.
• The given sentence is in the active voice and 'The police' is the subject and 'the thieves' is the object.
• When we convert this sentence into passive voice, the subject 'The police' of the active voice becomes the object, the object 'the thieves' becomes the subject.
• The passive format "were + V3 (arrested)" should be used.
• This is the active and passive voice rule for the past simple tense.
  

Additional Information

• Verbs of passive format have a different set of tenses (*V3 - Past participle or Third form of the Verb) as given below in the table:
  

 

The correct answer is 'amazed'.

Key Points

• Let us explore the given options:
• 'Amazed' means to surprise someone greatly.
• 'Disturbed' means interfered with the normal arrangement or functioning.
• 'Angry' means feeling or showing strong annoyance, displeasure or hostility.
• 'Ridiculed' means to subject someone or something to contemptuous and dismissive language or behaviour.

 

Complete Sentence: The yoga instructor was amazed at the student's flexibility.

The correct answer is 'A flock of sheep'.

Key Points

• In the underlined segment, the use of the common noun plural form 'Tons' is incorrect.
• The verb 'was' in the given sentence is a singular verb.
• We know that a singular subject will always take a singular verb.
• Therefore, the singular common noun 'A flock' should be used in place of 'Tons'.

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Correct Sentence: A flock of sheep was grazing in the field.

Additional Information

• Subjects and verbs must agree with one another in number (singular or plural).
• Thus, if a subject is singular, its verb must also be singular; if a subject is a plural, its verb must also be plural.
• Some animal group names:
• A school of fish
• A herd of rabbits
• A zeal of zebras
• A leap of leopards

The correct answer is 'ACBD'.

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Key Points

• The sentence 'A' is independent of any other sentences as it is introducing the first step of "arresting a thief". Hence, 'A' is the first part.
• The next sentence is 'C' as the next step is "to arrest the thief". Hence, 'C' follows 'A'.
• The next sentence is 'B' as the next step is "of trial in the court". Hence, 'B' follows 'C'.
• The final sentence is 'D' as it is the final step i.e "imprisonment of the thief". Hence, the sentence 'D' is the last sentence.
  

After rearranging the sentences: The police suspected the man to be a thief. He was soon arrested by the police. Then the trial began in the court. The thief was sentenced to two years’ imprisonment.

Important Points 

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.

The correct answer is 'Very expensive'.

Key Points

• Given Idiom: To cost an arm and a leg means very expensive.
• For example, This cricket kit is really nice, but it cost me an arm and a leg.
• From the given options, the fourth option is the most appropriate meaning of the given idiom.
  

Mistake Points

• We may think from the phrase "To cost an arm and a leg" that it is all about to give away an arm and a leg, but the correct answer is option 4. So be careful while dealing with such questions.
  

Additional Information

• The idiom/phrase originates from: This is an American phrase, coined sometime after World War II. Probable reference is to soldiers who had lost their limbs in the war, thus having to pay a very high price for the war.

The correct answer is: Option 3 i.e., Orifice.

Key Points

• The word "orifice" means something like an opening, particularly one in the body such as a nostril. (छिद्र)
• Example: The surgeon carefully examined the orifice to ensure there was no blockage.
• "Orifice" refers to an opening or aperture, especially in the body. (छिद्र)
• Example: The orifice of the cave was barely visible from the outside.
• Hence, we can infer that the word 'orifice' matches the description of an opening, especially one in the body.

Therefore, the correct answer is: Option 3 i.e., Orifice.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Oblique (तिरछा): Not straightforward or direct.
• Example: His oblique comments made it hard to understand his true intentions.
• Obtuse (मंदबुद्धि): Lacking sharpness or quickness of sensibility or intellect.
• Example: She wondered if he was being deliberately obtuse to avoid the question.
• Obscure (अस्पष्ट): Not clear or hard to understand.
• Example: The reference in his speech was obscure and left many puzzled.

The correct answer is 'Horrendous'.

Key Points

• Let us explore the given options:
• 'Heightened' means more intense than normal.
• 'Humane' means having or showing compassion or benevolence.
• 'Horrendous' means extremely unpleasant, horrifying or terrible.
• 'Humorous' means causing lighthearted laughter and amusement.

The correct answer is 'incurring'.

• Let us explore the given options:
• 'Earning' means gaining deservedly in return for one's behaviour or achievements.
• 'Containing' means having or holding someone or something within.
• 'Demanding' means asking authoritatively or brusquely.
• 'Incurring' means becoming subject to something unwelcome or unpleasant as a result of one's own behaviour or actions.
  

Complete Sentence: The government enterprises were privatized as they were incurring heavy losses on a daily basis.

The correct answer is 'Immense'.

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Key Points

• The word 'Prodigious' means unusually large.
• The synonyms of the word 'Prodigious' are "immense, massive, vast".
• From the synonym of the given word, we can say that the word 'Immense' is the same in meaning.
• The word 'Immense' means extremely large or great.
  

Let's see the meaning of other given options-

Additional Information

• The antonyms of the word 'Prodigious' are "little, mini, small".
• Example of 'Prodigious​​​' in a sentence:
• Laser discs can store prodigious amounts of information.

The correct answer is 'Voracous'.

Key Points    

• Let us explore the options:
• 'Voracous': There is no such word in English or we can say that there is some spelling mistake in this word, correct spelling is 'Voracious' which means having a very eager approach to an activity.
• 'Valour' means great courage in the face of danger, especially in battle.
• 'Video' means the recording, reproducing or broadcasting of moving visual images.
• 'Voluntary' means done, given or acting of one's own free will.

Chief Justice is appointed by the President.

Similarly,

Municipal Commissioner is appointed by the State Government. 

Hence, Municipal Commissioner : State Government is correct.

Given;

salute → iuamet, mango → ?

Logic: Criss cross format. Vowel - next vowel, Consonant - +1 

salute → iuamet

Similarly,

mango → uhoen

Hence, mango is coded as uhoen.

Below is the table showing opposite pairs of letters.

 

Pattern: The coded letters are the opposite of the letters given.

CDE : XWV

Similarly,

HIJ : SRQ

Hence, SRQ is correct.

Below given table shows the positional values of the letters:

Pattern: The coded digits for each of the words have been obtained by adding and subtracting one to and from the positional value of each letter alternately.

'Wand' → 240153

'Curd' → 420193

Similarly,

Code for the word 'East' will be: 

Hence, 602019 is correct.

According to the given information,

Shraddha says to Sharayu, "Your mother - in - law is my father's mother who is eldest son, but your husband is not my father."

 

Hence, Sharayu is Aunt of Shraddha.

Given: India : Delhi :: Jharkhand : ?

Delhi is the capital city of India.

Similarly,

Ranchi is the capital city of Jharkhand.

Hence, Ranchi is correct.

In this of dice, where two same numbers are placed on two different dice, then the remaining third number on respective dice are opposite to each other.

Here, 3 and 1 are common on both the dice.

So, the remaining number 6 and 2 on both the dice are opposite to each other.

Hence, 6 is correct.

Given: 

Time taken by inlet pipe to fill a tank = 24 hours 

Time taken by leakage to empty half tank = 36 hours

Time taken by leakage to empty full tank = 72 hours

Concept used:

Let capacity of tank is the LCM of time taken by inlet  & leakage to fill and empty the whole tank.

Solution:

Capacity of tank = LCM of (24, 72)

Capacity of tank = 72 Units

Efficiency of inlet pipe = +72 /24  = + 3 units / hr

Efficiency of outlet (leakage) = -72/72 = -1 Unit/hr

Time taken by inlet pipe & leakage to fill half the tank = $36\over (3 - 1)$ = 18 hrs

Time taken by inlet pipe to fill next half of the tank = $36\over 3$ = 12 hrs

Total time taken to fill the whole tank = 18 + 12

Total time taken to fill the whole tank = 30 hrs

Hence, 30 hours is the correct answer.

Leak at the middle so the effect of Leak always on the Half Tank.  

The bottom of tank with water is filled without any leakage because leak point is at middle of tank and leakage occurs while filling upper half of the tank only.

Mistake Points

If the leak is in the midpoint of the base of tank,

The pipe fills 1/24 of the tank in one hour.

The leak empties (1/2)/36 or 1/72 of the tank in 1 hour.

so total water filled in one hour = 1/24 - 1/72 = 2/72 = 1/36.

So the tank gets filled in 36 hours

Actual Question solution by another method.

If the leak is in the midpoint of the wall of tank,

Pipe takes 1/12 of tank in one hour

Leak empties 1/36 of water in 1 hour

So total water filled in one hour = 1/12 - 1/36 = 1/18

So the second half of the tank gets filled in 18 hours and the first half gets filled in 12 hours.

Total time taken is 12 + 18 = 30 hours

Note: Also 30 hours is the answer given by the Official answer key of CHSL.

The possible venn diagram is as follows:

For conclusions:

I. All my friends are workers → False (All my friends are workers is a possibility but not definite)

II. All workers are my friends → False (All workers are my friends is a possibility but not definite)

III. All my non - worker friends are honest → True (All the friends, who are not workers are honest)

Hence, Only conclusion III follow is correct.

The below given figure shows the embedded image:

Hence, Option 4 is correct.

In the case of water image, the upper portion of the figure becomes lower and vice-versa.

Hence, Option 3 is correct.

Given series: 132, 17523, 3164, 2695

Except 3164, all other numbers are completely divisible by 11.

1. 132 ÷ 11 = 12
2. 17523 ÷ 11 = 1593
3. 3164 ÷ 11 = 287.63 4.  2695 ÷ 11 = 245

Hence, 3164 is correct.

Given: (13, 133, 6) → (13 + 6) × 7 = 133

Let us now check through options:

1. (11, 122, 2) → (11 + 2) × 7 = 91 (NOT 122)
2. (10, 8, 6) → (10 + 6) × 7 = 112 (NOT 8)
3. (3, 4, 2) → (3 + 4) × 7 = 49 (NOT 4) 
4. (9, 91, 4) → (9 + 4) × 7 = 91 

Hence, (9, 91, 4) is correct.

Given codes:

 

Given: 48 ÷ 12 × 3 - 6 + 3

48 - 12 ÷ 3 + 6 × 3

48 - 4 + 6 × 3

48 - 4 + 18

66 - 4

62

Hence, 62 is correct.

The paper , when opened will look like:

Hence, Option 2 is correct.

Pattern: In each of the figure, one line is added the previous lines change its direction from south to north and vice-versa.

Hence, Option 3 is correct.

The logic followed here is:

Football, Hockey, and Cricket are played by the Eleven Players.

Whereas,

Kabbadi is played by the only Seven Players.

Hence, the correct answer is "Kabaddi".

Given figure:

TRICK:

When a triangle is divided into 2 bases, then we simply number the triangle and add those number.

In triangle IJR: There are two bases i.e. RIB (1) and RJB (2)

So, we'll add these written numbers: 1 + 2 = 3

This means, in triangle RIJ, we have 3 triangles i.e. RIB, RJB and RIJ

Similarly, we have 3 more such triangles i.e. OPQ, LSK and NTM

Therefore, total number of triangles = 3 × 4 = 12 triangles

Now, when a square is divided into four equal parts, then we simply add those squares and multiply it by 2.

In square QRST, we have four triangles i.e. QUR, RUS, SUT and TUQ

Thus, total number of triangles = 4 × 2 = 8 triangles

Now, some other triangles i.e. AOJ, PGM, NEK, ICL = 4 triangles

Thus, total number of triangles = 12 + 8 + 4 = 24 triangles

Hence, 24 is correct.

Given set,

(23, 59, 18)

Logic: Sum of digits of first term is the first digit of Middle term and sum of digit of last term is the second digit of Middle term.

2 + 3 = 5

1 + 8 = 9

59

Similarly,

1) (71, 83, 21)

7 + 1 = 8

2 + 1 = 3

83 = 83

2) (43, 59, 67)

4 + 3 = 7

6 + 7 = 13

713 ≠ 59

3. (24, 68, 46)

2 + 4 = 6

4 + 6 = 10

610 ≠ 68

4. (9, 92, 24)

9 = 9

2 + 4 = 6

96 ≠ 92

Hence, the answer is (71, 83, 21).

Given: 13, 16, 20, 25, 31, ?

13 + 3 = 16

16 + 4 = 20

20 + 5 = 25

25 + 6 = 31

31 + 7 = 38

Hence, 38 is correct.

Given: 36 : 27 :: 16 : ?

36 → (6)² : (3)³ → Second number is cube of the number, which is half of the under root of the first number.

Similarly,

16 → (4)² : (2)³ → Second number is cube of the number, which is half of the under root of the first number.

Hence, 8 is correct.

Given: CEG, DFI, HJL, KMO

1. KMO → K + 2 = M, M + 2 = O
2. CEG → C + 2 = E, E + 2 = G
3. HJL → H + 2 = J, J + 2 = L

4. DFI → D + 2 = F, F +3 = I (D + 2 = F, F + 2 = H)

Hence, DFI is correct.

The diagram represents the boys, married boys and the persons who own pets. And, the shaded portion shows the boys who are married but do not own pets:

Hence, 4 is correct.

The correct logical order is as follows:

Peanut - Mouse - Snake - Eagle

Peanut is eaten by Mouse.

Mouse is by Snake.

Snake is eaten by Eagle. 

Hence, Peanut - Mouse - Snake - Eagle is correct.

a c _ b _ a c _ _ a a _ d _ a _ c d _ _

Logic - acdba is repeated four times

a c d b a / a c d b a / a c d b a / a c d b a

Hence, dadbcbaba is the correct answer.

Given: 

• 77 + 800 ÷ [83 - {8 × 9 + (18 - 3 × 5)}]

Concept Used:

Follow the BODMAS rule as given in the table below

Calculation:

Considering the given equation expression

• 77 + 800 ÷ [83 - {8 × 9 + (18 - 3 × 5)}]

⇒ -77 + 800 ÷ [83 - {8 × 9 + (18 - 15)}]

⇒ -77 + 800  ÷  [83 - {72 + 3}]

⇒ -77 + 800 ÷  8

⇒ -77 + 100

⇒ 23

∴ Option 4 is the correct answer.

Given:

Demand of company U = 6000

Production of company U = 3000

Demand of company V = 1000

Production of company V = 3500

Demand of company X = 5000

Production of company X = 2000

Demand of company Y = 2500

Production of company Y = 5500

Demand of company Z = 6500

Production of company Z = 4500

Calculation:

p% of the demand of the item for company U is equal to the production for company Z

Demand of the company U = 6000

Production of the company Z = 4500

⇒$\frac{{6000; \times p}}{{100}}$ = 4500

⇒ p = 75

∴ The correct answer is 75.

Given:

Export of diamond in 2008 = 7.2 cr

Export of diamond in 2009 = 8.5 cr

Export of diamond in 2010 = 9.8 cr

Export of diamond in 2011 = 10.9 cr

Export of diamond in 2012 = 11.8 cr.

Export of diamond in 2013 = 11.5 cr.

Export of diamond in 2014 = 12.4 cr.

Formula used: 

\()\(% increase = ;\frac{{final;demand - initial;demand}}{{initial;demand}}; \times ;100\)

Calculation:

Increase in demand from 2008 to 2009 = 8.5 - 7.2 = 1.3

Increase in demand from 2009 to 2010 = 9.8 - 8.5 = 1.3

Increase in demand from 2010 to 2011 = 10.9 - 9.8 = 1.1

Increase in demand from 2011 to 2012 = 11.8 - 10.9 = 0.9

Increase in demand from 2012 to 2013 = 11.5 - 11.8 = -0.3

Increase in demand from 2013 to 2014 = 12.4 - 11.5= 0.9

Max increase 1) from 2008 to 2009 = 1.3

                       2) from 2009 to 2010 = 1.3​

From 2008 to 2009   $\% increase = ;\frac{{1.3}}{{7.2}}; \times ;100$ = 18.05%

From 2009 to 2010   $\% increase = ;\frac{{1.3}}{{8.5}}; \times ;100$ = 15.29%

∴ The correct answer is 2009.

Given:

P = 1500 Rs.

R = 14%

T = 1 year

Formula used : 

$Amount = ;\frac{{P; \times ;\left( {100 + R \times T} \right)}}{{100}}$

Calculation:

$Amount = ;\frac{{1500; \times ;\left( {100 + 14 \times 1} \right)}}{{100}}$

⇒ 15 × 114

⇒  Rs. 1,710

∴ The amount is Rs. 1,710.

Given:

(a + 3b) : (2a + 4b) = 3 : 5

Formula used:

if $\frac{a}{b} = ;\frac{c}{d}$

then, $;;\frac{{a - b}}{{a + b}} = ;\frac{{c - d}}{{c + d}}$

Calculation:

$\frac{{\left( {a + 3b} \right)}}{{\left( {2a + 4b} \right)}} = ;\frac{3}{5}$

⇒ 5 × (a + 3b) =  3 × (2a + 4b) 

⇒ 5a + 15b = 6a + 12b

⇒ a = 3b

⇒ $\frac{a}{b} = ;\frac{3}{1}$

⇒ $\frac{{a - b}}{{a + b}} = ;\frac{{3 - 1}}{{3 + 1}}$

⇒$\frac{{a - b}}{{a + b}} = ;\frac{2}{4} = ;\frac{1}{2}$

∴ (a - b) : (a + b) = 1 : 2

Ans: 4

Given:

A person bought 60 books for Rs. 60 each.

He sold 50 of them at a loss of 4%. 

Formula used:

Cost price × (100 + Profit %)/100 = Selling price

Also, Cost price × (100 - Loss %)/100 = Selling price

Calculation:

Cost price of 60 books = 60 × 60 = 3600 Rs.

Cost price of 50 books = 50 × 60 = 3000 Rs.

Selling price for 50 books = 3000 × 96/100 = 2880 Rs.

Selling price for the whole transaction, when all books sold at 5% profit = 3600 × 105/100 = 3780 Rs.

Remaining books no. is = 10

Cost price of 10 books = 60 × 10 = 600 Rs.

Selling price for the 10 books to fulfill the condition of 5% profit on whole transaction = 3780 - 2880 = 900 Rs.

Profit on remaining 10 books = $\frac{{900 - 600}}{{600}}$× 100 = $\frac{{300}}{{600}}$× 100 = 50%

∴ Remaining 10 books should be sold at 50% profit

Shortcut Trick

Let profit at remaining 10 books is A%

Fraction of 50 books in 60 books = 5/6

Fraction of 10 books in 60 books = 1/6

Fraction of one deal × profit/loss in % + Fraction of other deal × profit/loss in % = Final result (profit/loss)

we will take (+)ve sign for profit and (-)ve sign for loss

⇒ 5/6 × (-4) + 1/6 × A = 5

⇒ A/6 = 5 + 20/6

⇒ A/6 = 50/6

⇒ A = 50%

Ans:3

Given:

The side ST of ΔRST is produced to P.

∠RTP = 115°, ∠S = $\frac{2}{3}$∠R

Formula used:

The sum of two interior angles = the opposite exterior angle

Calculation:

The sum of two interior angles is equal to the opposite exterior angle.

⇒ ∠S + ∠R = 115°

⇒ $\frac{2}{3}$∠R + ∠R = 115°

⇒ $\frac{5}{3}$∠R = 115°

⇒ ∠R = 69° 

∴ value of ∠R is 69°

Given:

The average age of a man and his son is 60 years.

The ratio of their ages is 13 : 7, respectively.

Formula used:

Average = (Total sum)/(Total number)

Share in ratio = (individual value in ratio)/(Total sum of ratio values)

Calculation:

Sum of ages of a man and his son = 60 × 2 = 120 years

The ratio of their ages = 13: 7

⇒ 7/20 × 120 = 42 years

∴ Age of son is 42 years.

Ans: 3

Given: 

Antony and Vikash together can complete a piece of work in 20 days.

Vikash alone can complete it in 25 days.

Formula used:

one day work = 1/total days taken to complete the work

Calculation:

Antony's and Vikash's one day work = 1/20

Vikash's one day work = 1/25

Antony's one day work = 1/20 - 1/25

⇒ (5-4)/100 = 1/100

∴ Antony will complete the work in 100 days.

Ans: 4

Given:

distance = 500m, speed = 30 km/h

Formula used:

Time = Distance/Speed

Calculation:

First, we change speed in meter/minute

⇒ S = (30 × 1000)/60

⇒ 500 meter/minute

Time = Distance/Speed

⇒ 500/500 = 1 minute

∴ Shyam will take 1 minute to cover this distance.

Total production of organic fertilizers by the company in the year 2005 = 60

Total production of organic fertilizers by the company in the year 2006 = 45

Total production of organic fertilizers by the company in the year 2008 = 75

Total = 60 + 45 + 75 = 180

Total production of organic fertilizers by the company in the year 2001 = 20

Total production of organic fertilizers by the company in the year 2002 = 35

Total production of organic fertilizers by the company in the year 2003 = 55

Total production of organic fertilizers by the company in the year 2004 = 40

Total = 20 + 35 + 55 + 40 = 150

Ratio = 180 ∶ 150 = 6∶ 5

 

Calculation

In 2010 and 2011 total export of diamond = 9.8 + 10.9

⇒ 20.7

Average export of diamond = 20.7/2

⇒  10.35

In 2011 and 2012 export of diamond = 10.9 + 11.8

⇒ 22.7

Average export of diamond= 22.7/2

⇒ 11.35

In 2012 and 2013 export of diamond = 11.8 + 11.5

⇒ 23.9

Average export of diamond = 23.9/2

⇒ 11.65

In 2013 and 2014 total export of diamond = 11.5 + 12.4

⇒ 23.9

Average export of diamond = 23.9/2

⇒ 11.95

Given

Richa invests 5,59,968 in mutual fund. Which is 19% of annual income of Richa

Calculation

Let annual income income of Richa be 100%

∴ 19% = Rs.5,59,968

⇒ 100% = Rs.2,947,200

⇒  monthly income of Richa = Rs.2947200/12

⇒ Rs.2,45,600

∴ The correct answer is Rs.2,45,600.

Given

The radii of both circles are 3 cm and 7 cm

Both circles touch each other at point A externally

BC is the common tangent of both circles.

Calculation

Join P to Q and B. Join Q to C. Draw PM ⊥ CQ.

Now PM = BC, as they are opposite sides of rectangle PMBC.

⇒ PQ = PA +AM

⇒ 7 cm + 3 cm

⇒ 10 cm.

⇒ QM = CQ – CM

⇒ 7 cm – 3cm

⇒ 4 cm

⇒ PM = √{(PQ)² - (QM)²}

⇒ √{(10)² - (4)²} 

⇒ 2√ 21

⇒ PM = BC

⇒ 2√ 21 cm

∴ The correct answer is 2√ 21 cm.

Given

cot A = tan(2A - 45°)

Concept

cot A = tan(90° - A)

Calculation

⇒ cot A = tan(2A - 45°)

⇒ tan(90° - A) = tan(2A - 45°)

⇒ 90° - A = 2A - 45° 

⇒ A = 45° 

⇒ tan A = tan 45° = 1

∴ The correct answer is 1.

Given:

sec B + tan B = r

Formula Used:

sec²θ - tan²θ = 1

a² - b² = (a + b) (a - b)

Calculation:

sec² B - tan² B = 1 

⇒ (sec B + tan B) (sec B - tan B) = 1

⇒ (r) (sec B - tan B) = 1 

⇒ sec B - tan B = 1/r

∴ Value sec B + tan B = r then sec B - tan B is 1/r.

Given:

x³ + 27y³ + 64z³ = 36xyz

Formula Used:

If a + b + c = 0 then a3 + b3 + c3 = 3abc

Calculation:

x³ + (3y)³ + (4z)³ = 3 × (x) × (3y) × (4z)

⇒ x + 3y + 4z = 0

∴ If x³ + 27y³ + 64z³ = 36xyz then x + 3y + 4z = 0

Given:

sin²38^° – cos²52^° 

Concept Used:

sin²θ + cos²θ = 1

sin(90^° – θ ) = cosθ 

Calculation:

sin²38^° – cos²52^° = sin²38^° – sin²(90^° – 52^°)

⇒ sin²38^° – sin²38^°

⇒ 0

⇒ sin²38^° – cos²52^° = 0

∴ sin²38^° – cos²52^° = 0

Given:

A series of Discounts 5%, 10%, 15%, 20%

Formula Used: 

 Equivalent = A + B + (AB)/100

Calculation:

Discount is written as negative 

 Equivalent discount for 5% and 10% = (– 5) + (–10) + {(– 5) × (– 10)}/100

⇒ (– 5) + (– 10) + (0.5)

⇒ (– 15 + 0.5)

⇒ (– 14.5)

⇒ Equivalent Discount for 5% and 10% = 14.5%

Now, Equivalent discount for 14.5% and 15% = (– 14.5) + (– 15) + {(– 14.5) × (– 15)}/100

⇒ (– 14.5) + (– 15) + (2.175)

⇒ (– 29.5 + 2.175)

⇒ (– 27.325)

⇒ Equivalent Discount for 5%, 10% and 15% = 27.325%

Now, Equivalent discount for 27.325% and 20% = (– 27.325) + (– 20) + {(– 27.325) × (– 20)}/100

⇒ (– 27.325) + (– 20) + (5.465)

⇒ (– 47.325 + 5.465)

⇒ (– 41.86)

⇒ Equivalent Discount for 5%, 10%, 15% and 20% = 41.86%

∴  A single discount equivalent to a discount series of 5%, 10%, 15% and 20% is 41.86%.

Shortcut TrickCalculation:

Overall discount = (20000 - 11628) = Rs. 8372

Discount % = (8372/20000) × 100 = 41.86%

∴ The correct answer is 41.86%.

Given:

2²⁵ + 2²⁶ + 2²⁷

Calculation:

⇒ 2²⁵ + 2²⁶ + 2²⁷ 

⇒ 2²⁵(1 + 2¹ + 2²)

⇒ 2²⁵(1 + 2 + 4)

⇒ 2²⁵(7)

Hence, it is divisible by 7 because 7 is one of the factor/multiple of this expression.

∴ 2²⁵ + 2²⁶ + 2²⁷ is divisible by 7.

Given:

a + 2b = 10 and 2ab = 9

Formula used:

(a + b)² = a² + b² + 2ab

(a - b)² = a² +b² – 2ab

Calculation:

On squaring both sides of given equation we get,

(a + 2b)² = (10)²

⇒ (a² + 4b² +4ab) = 100

⇒ a² + 4b² + 18 = 100  

⇒ a² + 4b² = 82

Now,

(a – 2b)^{2 =} a² +4b² -4ab

Substituting values of a² + 4b² and 4ab from above

We get,

(a – 2b)² = 82 – 18

⇒ (a – 2b)^{2 =} 64

⇒ (a – 2b) = ±8

⇒ |a – 2b| = 8

∴ The value of |a – 2b| is 8

Given:

Ratio of breadth and perimeter of rectangle = 1 : 8

Area of the Given rectangle = 363 cm²

Formula Used:

Perimeter of rectangle = 2(length + breadth)

Area of Rectangle = length × breadth

Calculation:

Let the breadth be 1x and perimeter be 8x

Length of rectangle = l cm

Breadth of rectangle = b cm

2(l + b) = 8x

⇒ 2(l + x) = 8x

⇒ 2l = 8x – 2x = 6x

⇒ l = 3x cm

Now,

3x × x = 363 cm²

⇒ 3x² = 363 cm²

⇒ x = √121 cm

⇒ x = 11 cm

Since x is the value of breadth of rectangle therefore,

Breadth = x = 11 cm

∴ The Breadth of Rectangle is 11 cm.

Given:

A circle with center O and diameter PQ extended outside the circle to point B

∠BAP = 125°

Concept Used:

Angle formed between radius and tangent of a circle is always 90°

Angles opposite to equal sides are equal.

Sum of two opposite interior angles of a triangle is equal to the opposite exterior angle.

Sum of all angles of triangle is 180°

Calculation:

OA ⊥ BA  (Angle between Radius and Tangent)

∠OAP = ∠BAP - ∠OAB

⇒ ∠OAP = 125° - 90° = 35°

Since,

OA = OP = OQ (Radius of circle)

So,

∠OAP = ∠OPA = 35°

∠AOQ = ∠OAP + ∠OPA

⇒ ∠AOQ = 35° + 35° = 70°

In Δ AOQ,

∠AOQ = 70°

∠OAQ = ∠OQA (since OA = OQ)

∠AOQ + ∠OAQ + ∠OQA = 180°

⇒ 70° + ∠OAQ + ∠OQA = 180°

⇒ ∠OAQ + ∠OQA = 180° - 70° = 110°

⇒ 2∠OQA = 110°/2 = 55°

Since ∠OQA is the same angle as ∠AQP

∠AQP = 55°

∴ The value of ∠AQP = 55°

Given:

4x² + y² = 40 and xy = 6, (x > 0, y > 0)

Formula used:

(a + b)² = a² + b² + 2ab

Calculation:

 (2x + y)² = 4x² + y² +4xy

Since,

xy = 6

then

4xy = 4 × 6 = 24

Now,

(2x + y)² = 4x² + y² + 4xy

Substituting values of y² + 4x² and 4xy from above

We get,

(2x + y)² = 40 + 24

⇒ (2x + y)²  = 64

⇒ (2x + y) = ±8

⇒ (2x + y) = 8

∴ The value of 2x + y is 8

Given:

Equilateral triangle PQR with side PQ = 18 cm

Formula Used:

Circumradius of Equilateral triangle = side of equilateral triangle/√3

Concept Used:

Centroid Divide the median in the ratio 2 : 1

All the centers of the Equilateral triangle lie at the same point. Be it circumcenter, orthocenter, incentre, and centroid.

Calculation:

Since all the centers lie at the same point L, PL is also the circumradius of Equilateral Triangle PQR

Using the above formula,

PL = PQ/√3

⇒ PL = 18/√3

⇒ PL = 6√3 cm.

∴ The length of PL is 6√3 cm.

The correct answer is Hyderabad

Key Points

• Operation Polo was the code name of the Hyderabad "police action" in September 1948.
• Indian armed forces ended the rule of the Nizam of Hyderabad and led to the incorporation of the princely state of Hyderabad in Southern India, into the Indian Union.
• The ruler of the most powerful princely state Hyderabad, Mir Osman Ali Khan, was an aristocratic ruler and maintained an irregular army of Razakars.
• By Sardar Patel’s plan, Army and Police led by Maj Gen J N Chaudhuri attacked and covered Hyderabad.
• Mir Osman later signed Instrument of Accession.

The correct answer is Madhya Pradesh

• Bandhavgarh National Park is a famous Tiger Reserve located in Madhya Pradesh, India.

• It was declared a national park in 1968 and then became Tiger Reserve in 1993.

• The Tiger Reserve is Known for the healthy population of tigers and a variety of herbivores.

• Madhya Pradesh was declared the Tiger State in 2019. As per the July 2019 Tiger census report, the tiger count in the state had risen from 308 in 2014 to 526 in 2018.

• Madhya Pradesh

• ​Capital- Bhopal

• CM- Mohan Yadav

• Governor- Mangubhai C. Patel

The correct answer is Karla Caves

• Karla caves were built during the Satvahana rule in India in the 2nd and 3rd century BC.
• Located at Karla, Lonavala in Maharashtra.
• It is a stately depicture of Buddhist intricacies in architecture with special emphasis on the physical form of Buddha.
• The caves have both chaitya halls which are the largest in the world were used for mass worship practices and viharas were mainly used as dwelling units.

​

Additional Information 

The correct answer is Me-Dam-Me-Phi.

• Me-Dam-Me-Phi is the most important Ancestor worship communal festival celebrated by the Ahom people on 31 January every year in memory of the departed.
• Me-dam-me-phi is a state holiday observed in Assam on January 31st.
• It is a festival to show respect to the departed ancestors and remember their contribution to society.
• The word 'Me' means offerings. 'Dam' means ancestors and 'Phi' means gods.

​

Additional Information

The correct answer is Heart.

Key Points

• A sinoatrial node is a group of cells located in the heart's wall of the right atrium**.**
• It is a node of muscles located on the lateral wall of the right auricle of our heart.
• Its function is to generate contraction of auricles and thence, is known as a natural pacemaker.​

Additional Information

Human Heart

• The human heart is one of the most important organs responsible for sustaining life.
• The human heart is a four-chambered muscular organ.
• The size of the heart is the size of about a clenched fist.
• It functions throughout a person’s lifespan and is one of the most powerful and hardest working muscles in the human body.
• Its function is to maintain a constant flow of blood throughout the body. This replenishes oxygen and circulates nutrients among the cells and tissues.

The correct answer is 5%

• States' borrowing limit was increased from 3% to 5% in 2020.

• This move will give states extra resources of Rs 4.48 lakh.

• The net borrowing ceiling for 2020-21 is Rs 6.41 lakh crore, based on 5 percent of the Gross State Domestic Product (GSDP).

• Gross State Domestic Product (GSDP) is the sum total volume of all finished goods and services produced during a given period of time, usually a year, within the geographical boundaries of the State, accounted without duplication.

• It s the most important indicator for measuring the economic growth of a State.

• These estimates of economy, over a period of time, reveal the extent and direction of the changes in the levels of economic development

The correct answer is Douglas T Ross.

Key Points

• APT stands for Automatically Programmed Tool.
• It was developed by Douglas T Ross.
• It is a language that defines the tool path with respect to the part geometry and often forms the basis for post-processor generated NC files.

Additional Information

• The APT programming language is a language for defining tool paths on CNC machines.
• The APT language consists of four types of statements:
• ​Geometry statements will be used to specify the elemental features defining the part shape
• Motion statements are used to specify the path taken by the tool
• Post-processor statements control the machinery, controlling coolants as well as the feeds and speeds.
• Auxiliary statements complete the picture, specifying the part, required tools, etc.

The correct answer is Kerala.

• World’s richest monazite deposits occur in the Palakkad and Kollam districts of Kerala.
• Nuclear minerals are abundant in India to meet its future energy demand.
• Nuclear mineral in India primarily comprises of the Thorium and very few reserves of Uranium.
• Thorium is mainly obtained from monazite and ilmenite along the coast of Kerala and Tamil Nadu, where it is available in abundance.
• Over 15,200 tonnes of uranium is estimated to be contained in monazite.

The correct answer is Terabytes (TB).

• 1 Petabyte = 1024 Terabytes.
• The units of Computer Memory Measurements are: ​
• 1 Bit = Binary Digit.
• 8 Bits = 1 Byte
• 1024 Bytes = 1 KB (Kilo Byte)
• 1024 KB = 1 MB (Mega Byte)
• 1024 MB = 1 GB (Giga Byte)
• 1024 GB = 1 TB (Terra Byte)
• 1024 TB = 1 PB (Petabyte)
• 1024 PB = 1  EB (Exa Byte)
• ​Geop byte is the highest memory measurement unit.

The correct answer is Karnataka.

• Yadgir, Bidar, and Gadag are districts are in the state of Karnataka.
• Karnataka is a state in the southwestern region of India.
• It is the largest state in South India and the seventh-largest in India.
• Karnataka (2022) 
• Capital- Bengaluru
• Chief Minister - Basavaraj Bommai.
• Governor - Thawar Chand Gehlot

Kerala

• Capital- Thiruvananthapuram
• CM- Pinarayi Vijayan
• Governor- Arif Mohammad Khan

Madhya Pradesh

• Capital- Bhopal
• CM- Shivraj Singh
• Governor- Mangubhai C. Patel

Tamil Nadu

• Capital- Chennai
• CM- Edappadi K. Palaniswami
• Governor- Banwarilal Purohit

The correct answer is Prashastis.

• Prashastis is a special kind of inscription, meaning “in praise of”. They were composed by learned Brahmans in praise of the rulers.
• They tell us how rulers of that time wanted to illustrate themselves.
• If the kings liked the prashastis, they gave land as a gift to the Brahmans, with records of it on copper plates.

Additional Information