SSC CHSL Previous Paper 9 (Held On: 19 March 2020 Shift 3) (Previous Year Paper)

The correct answer is 'Poverty'.

Key Points

• The word 'Penury' means the state of lacking sufficient money or material possessions. (पर्याप्त धन या भौतिक संपत्ति की कमी की स्थिति)
• The synonyms of the word 'Penury' are "poverty, bankruptcy, insolvency".
• From the synonym of the given word, we can say that the word 'Poverty' is the same in meaning.
• The word 'Poverty' means the state of lacking sufficient money or material possessions. (गरीबी)

Hence, the correct answer is option 4. Let's see the meaning of other given options:-

 

Additional Information

• The antonyms of the word 'Penury' are "luxury, prosperity, richness".
• Example of 'Penury​' in a sentence:
• A succession of bad harvest had reduced the small farmer to penury.

The correct answer is 'location'.

Key Points

• Let us explore the given options:
• The noun 'whereabouts' is the place where someone or something is.
• The noun 'space' is a continuous area or expanse which is free, available, or unoccupied.
• The noun 'location' is the action of locating someone or something.
• The noun 'meeting' is an assembly of people for a particular purpose.
  

Complete Sentence: Although they searched for an hour, they were not able to find the location easily.

Hence, the correct answer is option 3.

The correct answer is 'Menifestation'.

Key Points    

• Let us explore the options:-
• 'Menifestation': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Manifestation' which means the action or fact of showing something.
• 'Eradication' means the complete destruction of something.
• 'Manipulation' is the action of manipulating someone in a clever or unscrupulous way.
• 'Regularization' is a technique used for tuning the function by adding an additional penalty term in the error function.
  

Hence, the correct answer is option 1.

Hinglish

• आइए जानते हैं विकल्प:-
• 'Menifestation': अंग्रेजी में ऐसा कोई शब्द नहीं है या हम कह सकते हैं कि इस शब्द में कुछ वर्तनी की गलती है।
• सही वर्तनी 'Manifestation' है जिसका अर्थ है कुछ दिखाने की क्रिया या तथ्य ।
• 'Eradication' का अर्थ है  किसी चीज का पूर्ण विनाश ।
• 'Manipulation' चतुर या बेईमान तरीके से किसी के साथ हेर-फेर करने की क्रिया है ।
• 'Regularization' एक तकनीक है जिसका उपयोग त्रुटि फ़ंक्शन में अतिरिक्त दंड शब्द जोड़कर फ़ंक्शन को ट्यून करने के लिए किया जाता है ।
  

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अत: सही उत्तर विकल्प 1 है ।

The correct answer is 'The manager was referring about'.

Key Points

• In the given sentence, the preposition 'about' is incorrect.
• The preposition 'about' means on the subject of; concerning.
• The preposition 'about' should be replaced by the preposition 'to'.
• The preposition 'to' is used to mention someone or something in speech or in writing.
  

Hence, the correct answer is option 1.

Correct Sentence: The manager was referring to the previous instances of loss to the employees during his address.

The correct answer is 'creativity'.

Key Points

• Let us explore the given options:-
• The word 'emotion' is a strong feeling deriving from one's circumstances, mood, or relationships with others.
• The word 'creativity' is the use of imagination or original ideas to create something; inventiveness.
• The word 'destruction' is the action or process of causing so much damage to something that it no longer exists or cannot be repaired.
• The word 'intoxication' is the state of being intoxicated.
  

Hence, the correct answer is option 2*.*

The correct answer is 'comforting'.

Key Points

• Let us explore the given options:-
• The word 'creative' means having good imagination or original ideas.
• The word 'comforting' means serving to improve a person's mood or restore a sense of physical well-being.
• The word 'imaginative' means having or showing creativity or inventiveness.
• The word 'tempting' means appealing to or attracting someone, even if wrong or unwise.
  

Hence, the correct answer is option 2*.*

The correct answer is 'dig'.

Key Points

• Let us explore the given options:-
• The word 'move' means to go in a specified direction or manner.
• The word 'play' means serving to improve a person's mood or restore a sense of physical well-being.
• The word 'dig' means to bring out or discover something after a search or investigation.
• The word 'look' means to think of or regard in a specified way.
• Reading the given sentence we find understand that: If we think about it a little deeper then we can that any skill can be considered an art.'
• Dig a little deeper means to think about something more intensely in a specified way.  
  

Hence, the correct answer is option 3*.*

The correct answer is 'particularly'.

Key Points

• Let us explore the given options:-
• The word 'commonly' means very often; frequently.
• The word 'at the outset' means If something happens at the outset of an event, process, or period of time, it happens at the beginning of it
• The word 'generally' means in most cases; usually.
• The word 'particularly' means to a higher degree than is usual or average, used to single out a subject to which a statement is especially applicable.

Hence, the correct answer is option 4*.*

The correct answer is 'imagination'.

Key Points

• Let us explore the given options:-
• The word 'imagination' means the action of forming new ideas, or images or concepts of external objects not present to the senses.
• The word 'hope' means a feeling of expectation and desire for a particular thing to happen.
• The word 'desire' means a strong feeling of wanting to have something or wishing for something to happen.
• The word 'dream' means a series of thoughts, images, and sensations occurring in a person's mind during sleep.
  

Hence, the correct answer is option 1*.*

The correct answer is 'bang'.

Key Points

• Let us explore the given options:
• The noun 'hiss' is a sharp sibilant sound.
• The noun 'murmur' is low continuous background noise.
• The noun 'screech' is a loud, harsh, piercing cry.
• The noun 'bang' is a sudden loud, sharp noise.
  

Complete Sentence: The wall fell down with a big bang.

Hence, the correct answer is option 4.

The correct answer is 'Amateur'.

Key Points

• The word 'Maestro' means a person with a high level of knowledge or skill in a field.
• The antonyms of the word 'Maestro' are "amateur, beginner, inexpert".
• From the antonym of the given word, we can say that the word 'Amateur' is the opposite in meaning.
• The word 'Amateur' means a person who is incompetent or inept at a particular activity.
  

Hence, the correct answer is option 4. Let's see the meaning of other given options-

Additional Information

• The synonyms of the word 'Maestro' are "master, professional, authority".
• Example of 'Maestro​​' in a sentence:
• The winning goal was scored by the maestro himself.

The correct answer is 'Hibernation'.

Key Points

• Let us explore the given options:-
• 'Somnambulism' is sleepwalking.
• 'Dehydration' is the loss or removal of water from something.
• 'Constipation' is a condition in which there is difficulty in emptying the bowels.
• 'Hibernation' is the state of being asleep for the winter.
  

Hence, the correct answer is option 4*.*

The correct answer is 'Deserving'.

Key Points  

• The word 'Unworthy' means not deserving respect or attention.
• The antonyms of the word 'Unworthy' are "deserving, worthy, laudable".
• From the antonym of the given word, we can say that the word 'Deserving' is the opposite in meaning.
• The word 'Deserving' means worthy of being treated in a particular way.
  

Hence, the correct answer is option 1. Let's see the meaning of other given options-

 

Additional Information

• The synonyms of the word 'Unworthy' are "meritless, worthless, dishonorable".
• Example of 'Unworthy​​' in a sentence:
• Unworthy buildings should be demolished to make room for modern construction.

The correct answer is The lion asked the lioness where she would hide herself, until he returned.

 

• 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 the 'question mark' is replaced by 'full stop'.
• The second-person pronoun 'you' should be replaced by the third-person pronoun 'she'.
• The first-person pronoun 'I' should be replaced by the third-person pronoun 'he'.
• The present simple tense format 'Subject + V₁ (will) + Object' will be changed into the past simple tense format 'Subject + V₂ (would) + Object'.
• The present simple tense format 'Subject + V₁ (return) + Object' will be changed into the past simple tense format 'Subject + V₂ (returned) + Object'.

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Hence, the correct answer is option 1.

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

The correct answer is 'The case had already been proved by the Inspector before the investigation team took charge of it'.

• 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 Inspector' is the subject and 'the case' is the object.
• When we convert this sentence into passive voice, the subject 'The Inspector' of the active voice becomes the object, the object 'the case' becomes the subject.
• The passive format "'had + been + V3 (proved)" should be used.
• This is the active and passive voice rule for the past perfect tense.

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Hence, the correct answer is option 4*.*

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*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 'DBAC'.

Key Points 

• The sentence 'D' is independent of any other sentences as it is giving general information about the noun "Shweta". Hence, 'D' is the first part.
• The pronoun "she" mentioned in the sentence 'B' refers back to the noun 'Shweta' mentioned in the sentence 'D'. Hence, 'B' follows 'D'.
• The "boat" mentioned in the sentence 'A' refers back to the "boat" mentioned in the sentence 'B'. Hence, 'A' follows 'B'.
• The sentence 'C' is the concluding sentence. Hence, 'C' is the last sentence.
  

Paragraph after rearranging the sentences: Smelling a flower given by the magician, Shweta fell down unconscious. Thinking that she was dead, her friends secretly took her and abandoned her in a boat. The boat floated down the river and reached the other bank. The people on the bank took her to a hospital and saved her.

Hint

• 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 'as much as'.

Key Points

• Let us explore the given options:
• The phrase "so long as'' means during the whole time that.
• The phrase "as much as'' is used to say that two things are equal in amount or degree.
• The phrase "as long as'' means provided that.
• The phrase "as many as'' is used to show surprise at how large a number of people or things is.
  

Hence, the correct answer is option 2.

Correct Sentence: Prithvi likes baseball as much as she likes cricket.

The correct answer is 'One of the reason'.

Key Points

• In the given sentence, the use of the singular noun 'reason' is incorrect.
• The general rule for the usage of the phrase "One of the" is One of the + Plural Noun + that/who etc. + Singular/Plural Verb.
• So, the noun following the phrase "one of the" is always a plural noun.
• Therefore, the plural noun 'reasons' should be used in place of the singular noun 'reason'.
  

Hence, the correct answer is option 4.

Correct Sentence: One of the reasons behind malnutrition is the improper way of food intake.

The correct answer is 'Geologist'.

Key Points

• Let us explore the given options:-
• 'Gynaecologist' is a doctor who specializes in women's reproductive health.
• 'Geographer' is a scientist whose area of study is geography.
• 'Gemologist' is a specialist in gems and stones.
• 'Geologist' is a person who studies the structure of the earth.
  

Hence, the correct answer is option 4*.*

The correct answer is 'Lucretive'.

Key Points    

• Let us explore the options:-
• 'Productive' means producing or giving rise to.
• 'Representative' means serving as a portrayal or symbol of something.
• 'Palliative' means relieving pain without dealing with the cause of the condition.
• 'Lucretive': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Lucrative' which means producing a great deal of profit.
  

Hence, the correct answer is option 4.

The correct answer is 'Confused and dazed'.

Key Points

• Given Idiom: In a fog means in great confusion.
• Example: He went through the day with his mind in a fog.
• From the given options, the third option is the most appropriate meaning of the given idiom.
  

Hence, the correct answer is option 3.

Mistake Points

• We may think from the phrase "In a fog" that it is all about trapped in foggy weather, but the correct answer is option 3. So be careful while dealing with such questions.
  

Additional Information

• Although the origin of this idiom is not available. Contextually, ''in a fog" is used in situations where we are not attentive to what is happening and seem to be like in the actual fog whose literal meaning is smoky like surroundings. Although these expressions “in a fog” and “in a haze” allude to obscuring one’s view. The term ‘fog’ usage dates from about the 1600s, ‘haze’ from the mid-1800s.

The correct answer is 'CDAB'.

Key Points 

• The sentence 'C' is independent of any other sentences as it is giving general information about the noun "Poonam". Hence, 'C' is the first part.
• The pronoun "them" mentioned in the sentence 'D' refers back to the noun 'students' mentioned in the sentence 'C'. Hence, 'D' follows 'C'.
• The pronoun "their" mentioned in the sentence 'A' refers back to the phrase "Three of them" mentioned in the sentence 'D'. Hence, 'A' follows 'D'.
• The sentence 'B' is the concluding sentence. Hence, 'B' is the last sentence.
  

Paragraph after rearranging the sentences: Poonam, the class teacher, was very much loved and respected by her students. Three of them were very intelligent and spent most of their time studying with Poonam. Their classmate, Koushal, hardly studied and spent much of his time-wasting on prattles. He made himself busy by collecting old pens and used papers in order to avoid studies.

Hint

• 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 'Something which can neither be categorized easily nor be accepted befittingly'.

Key Points

• Given Idiom: Neither fish nor fowl means something or someone which is not easily categorized; something or someone that does not rightly belong or fit well in a given group or situation.
• Example: Graduate teaching assistants are neither fish nor fowl, neither completely students nor teachers.
• From the given options, the third option is the most appropriate meaning of the given idiom.
  

Hence, the correct answer is option 3.

Mistake Points

• We may think from the phrase "Neither fish nor fowl" that it is all about a fish or fowl, but the correct answer is option 3. So be careful while dealing with such questions.
  

Additional Information

• According to the Oxford Dictionary of English Idioms, this idiom derives from dietary laws of the church, having to do with abstaining from certain foods or fasting. The original meaning of the idiom referred to something that was not fit for any class of people, or not fit for one thing or the other.

The correct answer is 'Celebration'.

Key Points

• The word 'Festivity' means the celebration of something in a joyful and exuberant way.
• The synonyms of the word 'Festivity' are "celebration, cheerfulness, merriness".
• From the synonym of the given word, we can say that the word 'Celebration' is the same in meaning.
• The word 'Celebration' means a social gathering or enjoyable activity held to celebrate something.
  

Hence, the correct answer is option 3. Let's see the meaning of other given options:-

 

Additional Information

• The antonyms of the word 'Festivity' are "joylessness, mournfulness, misery".
• Example of 'Festivity' in a sentence:
• The wedding was an occasion of great festivity.

The correct answer is 'So long as'.

Key Points

• In the underlined segment, the phrase 'So much as' is incorrect.
• The phrase 'As long to' means relatively great in the extent to something else.
• The phrase 'As high as' means to behave in a silly or exciting way.
• The phrase 'In as much as' means since, because, or to the extent that.
• The phrase 'So long as' means provided that or on condition that.
  

Hence, the correct answer is option 4.

Correct Sentence: So long as funding is not made available, our construction dreams have been deferred.

The number that depicts the area which represents 'Graduates Players who are not Managers' is shown below:

Hence, '2' is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 4' is the correct answer.

The pattern follows here is:

1. Star shape is moving 90° clockwise in corner to corner in each figure.
2. Small circle is moving 90° anticlockwise in corner to corner in each figure.
3. Middle square shape rotates 180° in each step.

Hence, 'option 1' is the correct answer.

The logic followed here is:

(11, 15, 400) → (11+1)² + (15+1)²

= 144 + 256 = 400

Similarly,

(12, 17, 493) → (12+1)² + (17+1)²

= 169 + 324 = 493

Hence, (12, 17, 493) is the correct answer.

Faces opposite to each other is shown below:

Q will be the letter on the opposite side of 'L'.

Hence, 'Q' is the correct answer.

The pattern followed here is:

Logic: Sum of the position value of the opposite letters.

Similarly,

Hence, ‘80’ is the correct answer.

The logic is:

19 + 1³ = 20

20 + 2² = 24

24 + 3³ = 51

51 + 4² = 67

67 + 5³ = 192

Hence, '192' is the correct answer.

The logic is:

Admission Card: Examination → Admission card is necessary to appear in an examination.

Similarly,

Ticket: Train Journey → Ticket is necessary to travel on a train.

Hence, ‘Ticket : Train Journey’ is the correct answer.

1)  +, ×, -, +, =

Given expression: 15 * 4 * 26 * 2 * 7 * 66

After replacing the * by signs given, we get:

15 + 4 × 26 - 2 + 7 = 66

=> 14 + 104 – 2 + 7 = 66

=> 125 – 2 = 66

=> 123 ≠ 66

2. +, ×, ÷, -, =

Given expression: 15 * 4 * 26 * 2 * 7 * 66

After replacing the * by signs given, we get:

15 + 4 × 26 ÷ 2 - 7 = 66

=> 15 + 52 – 7 = 66

=> 67 – 7 = 66

=> 60 ≠ 66

3. ×, +, ÷, -, =

Given expression: 15 * 4 * 26 * 2 * 7 * 66

After replacing the * by signs given, we get:

15 × 4 + 26 ÷ 2 - 7 = 66

=> 60 + 13 – 7 = 66

=> 73 – 7 = 66

=> 66 = 66

4. ×, +, -, ÷, =

Given expression: 15 * 4 * 26 * 2 * 7 * 66

After replacing the * by signs given, we get:

15 × 4 + 26 - 2 ÷ 7 = 66

=> 60 + 26 – 0.29 = 66

=> 86 – 0.29 = 66

=> 85.71 ≠ 66

Hence, '×, +, ÷, -, =' is the correct answer.

The number of triangles in the given figure is shown below:

Hence, '8' is the correct answer.

The least possible Venn diagram is:

  

1. Some wires are equipment. → True (As, All speakers are equipment and All equipment are wires → Some wires are equipment)
2. No speaker is wire. → False (As, All speakers are equipment and All equipment are wires → All speaker is wire)
3. Some speakers are not wires. → False (As, All speakers are equipment and All equipment are wires → All speaker is wire)

Hence, only conclusion 1 follows.

1. UMDUD

U U D M / U P D M / U P D M / U D D M

No pattern of letters is repeated.

2. MPUDU

U M D P / U P U M / D P D M / U U D M

No pattern of letters is repeated.

3) PMUPD

U P D M / U P U M / P P D M / U D D M

No pattern of letters is repeated.

4) PMDUP

U P D M / U P D M / U P D M / U P D M

The pattern of letters 'UPDM' repeats itself in the series.

Hence, 'PMDUP' is the correct answer.

The logic is:

27 ∶ 6 → (6 ÷ 2)³ : 6

64 : 8 → (8 ÷ 2)³ : 8

Similarly,

8 : ? → (4 ÷ 2)³ : 4

=> ? = 4

Hence, 4' is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

Hence, ‘JHNKKT’ is the correct answer.

The correct mirror image of the given figure when a vertical mirror is placed on the right of the figure is shown below:

Hence, 'option 3' is the correct answer.

The logic is:

(14, 24, 84) → (14 × 24) ÷ 4 = 84

Similarly,

(18, 30, 135) → (18 × 30) ÷ 4 = 135

Hence, '(18, 30, 135)' is the correct answer.

The logical and meaningful sequence of the words is shown below:

5. Participants
6. Competition
7. Marking by Judges
8. Winner
9. Prize

Participants participate in a competition, after which their performance is marked by judges on the basis of which winner is chosen and finally prize is given to the winner.

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

The pattern followed here is:

According to the alphabetical positions of the letters,

1. SUWY → S + 2 = U; U + 2 = W; W + 2 = Y

2. YACF → Y + 2 = A; A + 2 = C; C + 2 = E ≠ F

3. LNPR → L + 2 = N; N + 2 = P; P + 2 = R

4. ZBDF → Z + 2 = B; B + 2 = D; D + 2 = F

Hence, 'YACF' is the odd one out.

The logic is:

Painting : Colour → Colour is used for painting.

Similarly,

Homework : ? → Ink is used to do homework.

Hence, 'Ink' is the correct answer.

All options except 'time' are units used to measure/express time.

Hence, 'time' is the odd one out,

Let the number of students be '100'.

22% of the total students participated in folk song.

22% of 100 is 22.

So 22 students participated in folk song.

Remaining students = 100 - 22

= 78

25% of the remaining students participated in kathak.

Number of Students who participated in Kathak = (25/100) × 78

= 19.5

The remaining students participated in the quiz.

The number of students who participated in the quiz = 78 - 19.5

= 58.5

So, the percentage of students who participated in the quiz = (58.5/100) × 100

= 58.5%

Hence, '58.5%' is the correct answer.

The logic is:

1. 5 : 26 → 5 : 5² + 1

2. 13 : 175 → 13 : 13² + 1 ≠ 175

3. 4 : 17 → 4 : 4² + 1

4. 11 : 122 → 11 : 11² + 1

Hence, '13 : 175' is the odd one out.

According to given conditions,

So, Ravi is father-in-law of Himmat.

Hence, 'father-in-law' is the correct answer.

The option in which the given figure X is embedded when rotation is not allowed is shown below:

Hence, 'option 4' is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

 

Hence, ‘QNH’ is the correct answer.

Given:

The total marks = 720

Concept used:

In pie chart,

360° → 100%

⇒ 1% → 360°/100

Percentage = (X/Y) × 100

X → Marks in English

Y → Marks in Maths

Calculation:

360° = 720

1° = 2

Mark obtain in English = 60° × 2 = 120

Marks obtain in Maths = 80° × 2 = 160

Percentage = (marks in English/maks in Maths) × 100

⇒ (120/160) × 100

⇒ 75%

∴ The marks obtained in English is 75% of the marks obtain in Maths.

Percentage = (60/80) × 100 = 75%

Given:

Principal amount = Rs. 8,000

Rate of interest = 10%

Formula used:

Total amount (A) = Principal amount × [1 + (rate of interest/100)]ⁿ

Compound interest (C.I.) = Total amount – Principal amount

Calculation:

Case – 1 (yearly interest)

Rate of interest (R) = 10%

Principal amount (P) = 8000

Total amount (A) = P × [1 + (R/100)]ⁿ

A = 8000 × [1 + (10/100)]

⇒ A = 8000 × (11/10)

⇒ A = 8800

C.I. = A – P = 8800 – 8000 = 800

Case – 2 (Half yearly)

Rate of interest = R/2 = 10/2 = 5%

Principal (P) = 8000

Time period (n) = 2

Total amount (A) = P × [1 + (R/100)]ⁿ

⇒ A = 8000 × [1 + (5/100)]²

⇒ A = 8000 × (21/20)²

⇒ A = 8000 × (21/20) × (21/20)

⇒ A = 8820

C.I. = A – P = 8820 – 8000 = 820

So, difference between compound interest is

⇒ 820 – 800

⇒ 20

∴ Difference between compound interest is Rs. 20.

Using tree method:

 

Difference = 820 – 800 = 20

Given:

√(cosecx – 1)/√(cosecx + 1)  

Trigonometry identities used:

sin²x + cos²x = 1

Formula used:

 a² – b² = (a + b) (a – b)

Calculation:

⇒ √(cosecx – 1)/√(cosecx + 1) 

(Here cosecx = 1/sinx

⇒ √[(1/sinx) – 1]/√[(1/sinx) + 1]

⇒ √(1 – sinx)/√(1 + sinx)

Rationalization

⇒ [√(1 – sinx)/√(1 + sinx)] ×  [√(1 – sinx)/√(1 – sinx)]   

⇒ √(1 – sinx)²/√(1 + sinx) (1 – sinx)

Here a² – b² = (a + b) (a – b)

⇒ (1 – sinx)/√(1 – sin²x)

Here 1 – sin²x = cos²x

⇒ (1 – sinx)/√cos²x

⇒ (1 – sinx)/cosx

⇒ (1/cosx) – (sinx/cosx)

Here 1/cosx = secx, sinx/cosx = tanx

⇒ secx – tanx    

<br>

∴ The required answer is secx - tanx

Trigonometry value used:

Calculation:

x sin30° cos60° = sin45° cos45°

⇒ x (1/2) (1/2)  = (1/√2) (1/√2)

⇒ x/4 = 1/2

⇒ x = 4/2

⇒ x = 2

∴ Value of x is 2.

Given:

Sum = 1,260

Ratio of Ravi and Mohan = 5 : 4

Concept used:

Ratio method used

Calculation:

Ratio of Ravi and Mohan = 5 : 4

Ravi shares = 5K

Mohan shares = 4K

Sum of distributed between Ravi and Mohan = 1260

⇒ 5K + 4K = 1260

⇒ 9K = 1260

⇒ K = 140

Shares of Ravi = 5K = 5 × 140 = 700

Shares of Mohan = 4K = 4 × 140 = 560

∴ Shares of Ravi and Mohan are respectively 700 and 560.

 

 

9 unit = 1260

1 unit = 140

Ravi shares = 5 unit = 5 × 140 = 700

Mohan shares = 4 unit = 4 × 140 = 560

Given:

The total marks = 720

Concept used:

In pie chart,

360° → 100%

⇒ 1% → 360°/100

Percentage = (X/Y) × 100

X → Marks in Chemistry, Biology and Maths in together

Y → Total marks

Calculation:

360° = 720

1° = 2

Marks in Chemistry, Biology and Maths = 45° + 55° + 80° = 180°

Marks in Chemistry, Biology and Maths = 180° × 2 = 360

Percentage = (marks in Chemistry, Biology and Maths/Total marks) × 100

⇒ (360/720) × 100

⇒ 50%

∴ The percentage marks in Chemistry, Biology and Maths together is 50% of total marks. 

 

Percentage = [(45° + 55° + 80°)/360°] × 100 = (180°/360°) × 100 = 50%

Given:

Marked Price (M.P.) of toy = 450

Selling Price (S.P.) of toy = 405

Formula used:

Discount percentage = [(Marked price – Selling price)/Marked price] × 100

Calculation:

M.P. = 450

S.P. = 405

Discount % = [(450 – 405)/450] × 100

⇒ (45/450) × 100

⇒ 10%

∴ The rate of discount is 10%.

Given:

Ravi can complete the task in 6 days

Mohan can complete the task in 9 days

Formula used:

Total work = Efficiency × Time

Calculation:

Taking L.C.M of 6 and 9

⇒ L.C.M of 6 and 9 = 18

⇒ Efficiency of Ravi = (18/6) = 3

⇒ Efficiency of Mohan = (18/9) = 2

Time taken by Ravi and Mohan together to complete the work = 18/(3 + 2) = 18/5

⇒ 18/5 = $3\frac{3}{5};days$

∴ Ravi and Mohan together can complete the task in $3\frac{3}{5};days$.

 

Shortcut Trick

Ravi and Mohan together can complete the task in

<br>

= (R × M)/(R+M) = (6 × 9)/(6 + 9) = 54/15 = 18/5

Calculation:

Divisibility rule of 9:

A number is divisible by 9 only when the sum of its digits is divisible by 9.

10098 → 1 + 0 + 0 + 9 + 8 = 18

10108 → 1 + 0 + 1 + 0 + 8 = 10

10089 → 1 + 0 + 0 + 8 + 9 = 18

10087 → 1 + 0 + 0 + 8 + 7 = 16

10098 and 10089 are the numbers that satisfy the condition 

Divisibility rule of 11:

A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11

In case of 10098

⇒ (1 + 0 + 8) – (0 + 9) = 9 – 9 = 0 (Satisfying the condition)

Checking second term 10089

⇒ (1 + 0 + 9) – (0 + 8) = 9 – 8 = 1 (Not satisfying the condition)

∴ The number which is divisible by both 9 and 11 is 10098.

Given:

A car covers 15 km, 20 km, 30 km and 12 km at speeds of 20 km/h, 30 km/h, 40 km/h and 30 km/h respectively.

Formula Used:

Average Speed = Total distance/Total time taken

Time taken = Distance/Speed

Calculation:

Time taken to cover 15 km at speed of 20 km/hr = 15/20 = 3/4 hours

Time taken to cover 20 km at speed of 30 km/hr = 20/30 = 2/3 hours

Time taken to cover 30 km at speed of 40 km/hr = 30/40 = 3/4 hours

Time taken to cover 12 km at speed of 30 km/hr = 12/30 = 2/5 hours

Total time taken = 3/4 + 2/3 + 3/4 + 2/5 = (45 + 40 +45 + 24)/60 = 154/60 = 77/30

The total Distance = 15 + 20 + 30 + 12 = 77

The average speed =  77/77 × 30 = 30 km/hr

∴ The average speed of the car for total journey is 30km/hr.

Given:

The selling price of the scooter is Rs.28000.

The profit% is 12%.

Formula Used:

CP = 100/(100 + profit%) × SP 

Calculation:

The selling price of the scooter is Rs.28000.

The profit% is 12%.

The CP = 100/(100 + 12) × 28000

⇒ CP = 100/112 × 28000 = 25000

∴ The Cost price of the scooter is Rs.25000.

Given:

A = $\frac{{x - 1}}{{x + 1}}$

Formula used:

${(a + b)^2} = ;;{a^2} + 2ab + {b^2}$

$\left( {{a^2} - {b^2}} \right)$ = (a - b) (a + b)

Calculation:

A - 1/A

Put the value of A = $\frac{{x - 1}}{{x + 1}}$ in the question

⇒ (x - 1)/ (x + 1) - (x + 1)/(x - 1)

⇒ $\frac{{\left( {x - 1} \right) × \left( {x - 1} \right) - \left( {x + 1} \right) × \left( {x + 1} \right)}}{{{x^2} - 1}}$

⇒ $\frac{{\left( {{x^2} - x - x + 1} \right) - \left( {{x^2} + x + x + 1} \right)}}{{{x^2} - 1}}$

⇒ $\frac{{ - 4x}}{{{x^2} - 1}}$

∴ Correct answer is $\frac{{ - 4x}}{{{x^2} - 1}}$

Short trick:

Put the value of x = 2 

So,

⇒ A = 1/3

According to the question,

A - 1/A

⇒ 1/3 - 3

⇒ - 8/3

Then check the option you get the answer 

Put the value in option (4)

⇒ $\frac{{ - 4x}}{{{x^2} - 1}}$

⇒ (- 4 × 2)/(4 - 1)

⇒ - 8/3

Correct answer is $\frac{{ - 4x}}{{{x^2} - 1}}$

Given:

The angle between two radii = 130°

Concept used:

The tangent is Perpendicular to the radius at the point of contact

Sum of four angle of quadrilateral = 360°

Calculation:

OA and OB are radius of the circle

AP and BP are tangent of circle.

∠OAP = ∠OBP = 90°

And ∠AOB = 130° (Given)

Let ∠APB be X

In quadrilateral sum of angle = 360°   

⇒ ∠AOB + ∠ OAP + ∠OBP + ∠APB = 360°

⇒ 130° + 90° + 90° + X = 360°

⇒ 310° + X = 360°

⇒ X = 50°

∴ The angle between the tangent is 50°.

Sum of opposite angle in quadrilateral is 180°

∠AOB + ∠APB = 180°

⇒ 130° + X = 180°

⇒ X = 50°

∴ The angle between the tangent is 50°.

Given:

In Δ ABC, AB = AC

∠BAC = 50º

Concept used:

Calculation:

As AB = AC so, ∠ABC = ∠BCA

⇒ ∠ABC + ∠BCA + ∠BAC = 180°

⇒ ∠ABC + ∠BCA = 180° – 50°

⇒ ∠ABC + ∠BCA = 130°

⇒ ∠ABC + ∠ABC = 130°

⇒ 2∠ABC = 130°

⇒ ∠ABC = 65° = ∠BCA

∴ ∠ABC and ∠BCA both are 65°

Given:

Total marks = 720

Concept used:

Complete angle of a circle is 360°

Calculation:

According to the pie chart

Maths = 80° out of 360°

Here, 720 = 360°

⇒ 2 = 1°

⇒ 160 = 80°

⇒ Marks obtained in Maths = 160

∴ Marks obtained in Maths are 160

Given:

$x - \frac{1}{x} = 13$

Formula used:

If x – 1/x = K

Then on squaring both side we get

x2 + 1/x2 = k2 + 2

Calculation:

Apply the above formula 

⇒ (x - 1/x)² = 13²

⇒ x² + 1/x² = 169 + 2

⇒ x2 + 1/x2 = 171

∴ The value of x2 + 1/x2 is 171.

Given:

AB is a chord and C is any point on AB, such that OC is perpendicular to AB

AB = 16 cm 

OC = 6 cm

Concept used:

The point on a chord which is perpendicular from centre bisects the chord.

Calculation:

AC = AB/2

⇒ AC = 8 cm

In ΔAOC

⇒ OA² = OC² + AC²

⇒ OA² = 6² + 8² 

⇒ OA² = 36 + 64

⇒ OA2 = 100

⇒ OA = 10 cm

∴ The radius of the circle is 10 cm.

Given:

The volume of a cube  343 cm3

Formula used:

The volume of a cube = (a)³

Where 'a' is the edge of cube.

Calculation:

According to the question:

The volume of a cube = (a)3

⇒ 343 cm3 = (a)3

⇒ (7 × 7 × 7)cm3  = (a)3

⇒ (7 cm)³ = (a)³

⇒ a = 7 cm 

∴ The edge of cube is 7 cm.

Given:

7 + [44 ÷ 4 + {9 × 2 – 14 ÷ 7} + 5 × 2]

Concept used:

We have to follow the BODMAS rule,

 

Calculation:

7 + [44 ÷ 4 + {9 × 2 – 14 ÷ 7} + 5 × 2]

⇒ 7 + [44 ÷ 4 + (9 × 2 – 2) + 5 × 2]

⇒ 7 + [44 ÷ 4 + (18 – 2) + 5 × 2]

⇒ 7 + [44 ÷ 4 + 16 + 5 × 2]

⇒ 7 + [11 + 16 + 5 × 2]

⇒ 7 + [11 + 16 + 10]

⇒ 7 + 37 = 44

∴ The answer is 44.

Given:

$\frac{{\cos ,{{29}^ \circ }\cos ec,{{61}^ \circ }\tan ,{{45}^ \circ } + 2\sin ,{{35}^ \circ }\sec ,{{55}^ \circ }}}{{3{{\sin }^2},{{42}^ \circ } + 3{{\sin }^2},{{48}^ \circ }}}$

Trigonometry properties:

cosecθ = 1/sinθ 

sin(90 – θ ) = cosθ 

secθ = 1/cosθ 

cos(90 – θ ) = sinθ 

sin²θ + cos²θ = 1

tan 45^o = 1

Calculation:

$\frac{{\cos ,{{29}^ \circ }\cos ec,{{61}^ \circ }\tan ,{{45}^ \circ } + 2\sin ,{{35}^ \circ }\sec ,{{55}^ \circ }}}{{3{{\sin }^2},{{42}^ \circ } + 3{{\sin }^2},{{48}^ \circ }}}$

According to the trigonometry properties 

⇒ {cos 29^o (1/sin 61^o) tan 45^o + 2 sin 35^o (1/cos 55^o)}/ 3sin² 42^o + 3sin²(90^o – 48^o)

⇒ {(cos 29^o/cos61^o)tan 45^o + 2 sin 35^o/cos 55^o}/3(sin 42^o + cos42^o)

⇒ {(cos29^o/sin(90 ^o – 61^o))× 1 + 2 sin 35^o/cos(90^o – 55^o)}/3 × 1

⇒ {cos 29²/cos 29² + 2 sin 35^o/sin 35^o}/3

⇒ (1 + 2)/3

⇒ 1

∴ The value of $\frac{{\cos ,{{29}^ \circ }\cos ec,{{61}^ \circ }\tan ,{{45}^ \circ } + 2\sin ,{{35}^ \circ }\sec ,{{55}^ \circ }}}{{3{{\sin }^2},{{42}^ \circ } + 3{{\sin }^2},{{48}^ \circ }}}$ is 1.

Given:

Mohan finishes a journey by scooter in 5 hours. He travels the first half of the journey at 30 km/h and the second half of the journey at 20 km/h.

Formula used:

Speed = distance/time

Distance = speed × time

Calculation:

Mohan finishes a journey by scooter in 5 hours.

Let the distance covered by mohan with scooter be x.

Time = 5 hours, First half distance speed = 30 km/hr, Second half distance speed = 20 km/hr

According to the question,

Time = First half distance/speed + second half distance/speed

⇒ 5 = (x/2)/30 + (x/2)/20

⇒ 5 = x/60 + x/40

⇒ 5 = 100x/2400

⇒ x = 5 × 24

⇒ x = 120 km

∴ The distance covered by him is 120 km.

If distance is equal then, 

Distance = {2 × S₁ × S₂/(S₁ + S₂)}× time

S₁ = speed of the first half distance, S₂ = speed of the second half distance.

⇒ Distance = {2 × 30 × 20/(30 + 20)}× 5

⇒ Distance = 120 km.

∴ The distance covered by him is 120 km.

Given:

Each side of a rectangular field is increased by 10%

Formula used:

Area of rectangle = Length × Breadth

Calculation:

Let the length and breadth of the rectangular field be ‘L’ and ‘B’ respectively

Area of rectangular field = LB

Increased length = L + 10L/100

⇒  Increased length = 110L/100 = 1.1L

Increased breadth = B + 10B/100

⇒  Increased breadth = 110B/100 = 1.1B

⇒ Increased Area of rectangular field = 1.1L × 1.1B

⇒ Increased Area of rectangular field = 1.21LB

Net increment in Area = 1.21LB – LB

⇒ Net increment in Area = 0.21LB

⇒ Percentage increase in the area = 0.21LB/LB × 100

⇒ Percentage increase in the area = 21%

 ∴ Percentage increase in the area of the field is 21%

Shortcut Trick

When length and breadth of rectangle is increased by a%, then percent increase in the area of rectangle is given b

% increase in area = [a + a + (a²/100)]

⇒ Percentage increase in the area = 10 + 10 + 100/100

⇒ Percentage increase in the area = 20 + 1 = 21%

∴ Percentage increase in the area of the field is 21%

Given:

Total marks = 720

Calculation:

Marks scored by the student in Maths = 80/360 × 720 = 160

Marks scored by the student in Physics = 70/360 × 720 = 140

Marks scored by the student in Chemistry = 45/360 × 720 = 90

Marks scored by the student in Biology = 55/360 × 720 = 110

Marks scored by the student in English = 60/360 × 720 = 120

Marks scored by the student in Physical Education = 50/360 × 720 = 100

Total marks obtained in Physics, Maths and Physical education = 160 + 140 + 100 = 400

Total marks obtained in Chemistry, Biology and English = 90 + 110 + 120 = 320

Difference = 400 – 320 = 80

∴ The difference between the total marks obtained in Physics, Maths and Physical education and the total marks in Chemistry, Biology and English out of the total marks is 80 marks.

Given:

Dividend = x3 - 6x2 + ax + b

Divisor = x2 - 3x + 2

Concept used:

Remainder theorem: It says if a polynomial is divided by (x – a), then remainder will be after substituting the value of [(x - a) = 0 ⇒ x = a] in given polynomial.

If a polynomial is dived by (x + a), then remainder will be after substituting the value of (x + a = 0 ⇒ x = - a) in given polynomial.

If a polynomial is divided by (ax + b), then remainder will be after substituting the value of [ax + b = 0 ⇒ ax = - b ⇒ x = (-b/a)] in given polynomial.

If a polynomial is divided by (ax - b), then remainder will be after substituting the value of [ax - b = 0 ⇒ ax = b ⇒ x = (b/a)] in given polynomial.

Calculation:

Divisor = x2 - 3x + 2

Now we calculate the factor of x2 - 3x + 2

Then, x2 - 3x + 2 = 0

⇒ x2 - 2x - x + 2 = 0

⇒ x(x - 2) - 1(x - 2) = 0

⇒ (x - 2)(x - 1) = 0

Then value of x will be (x - 2) = 0

⇒ x = 2

And the value of x will be also (x - 1) = 0

⇒ x = 1

Now the value of x is 2 and 1.

After putting of the value of x = 2 in the given dividend we get,

x3 - 6x2 + ax + b = 0

⇒ 2³ - 6 × 2² + a × 2 + b = 0

⇒ 8 - 24 + 2a + b = 0

⇒ 2a + b = 16      ----(i)

After putting of the value of x = 1 in the given dividend we get,

x3 - 6x2 + ax + b = 0

⇒ 13 - 6 × 12 + a × 1 + b = 0

⇒ 1 - 6 + a + b = 0

⇒ a + b = 5      ----(ii)

After subtracting of equation (ii) from equation (i), we get

2a - a = 16 - 5

⇒ a = 11

Using the value of a = 11 in equation (ii) we get,

11 + b = 5

⇒ b = 5 - 11

⇒ b = - 6

∴ The value of a and b are 11 and - 6 respectively.

Given:

The measure of one of the exterior angles = 2 × one of the interior opposite angles

The measure of other interior opposite angles = 60° 

Concept used:

Equilateral triangle: the measure of each interior angle is 60°  

Right-angle triangle: the measure of one of the interior angle should be 90° 

Scalene triangle: the measure of each angle is different.

Isosceles triangle: the measure of one of the two interior angles are equal.

The measure of one of the exterior angle = the sum of its opposite interior angles.

The sum of all interior angles in a triangle = 180° 

Calculation:

Let one of the interior opposites angles be x

The measure of one of the exterior angle = x + 60° 

⇒ 2 × one of the interior opposite angles = x + 60° 

⇒ 2x = x + 60° 

⇒ 2x - x = 60° 

⇒ x = 60° 

Now the third interior angle = 180° - x - 60° 

⇒ 180° - 60° - 60° 

⇒ 180° - 120° 

⇒ 60° 

Then we can see that each interior angle = 60° and this is possible when triangle will be an equilateral triangle.

∴ The triangle is an Equilateral triangle.

The correct answer is Chess.

• Magnus Carlsen is associated with the Chess game.

Additional Information

• Polish grandmaster Jan-Krzysztof Duda brought an end to Magnus Carlsen's 125 games unbeaten streak.
  

World chess champion Magnus Carlsen has suffered his first defeat in more than two years and a record 125 games while playing a tournament in his native Norway.

• World Chess Champion, Carlsen, is the youngest player to ever be ranked number one.
• He was personally coached by chess icon Garry Kasparov until 2010.
• He won 7 chess Oscars and has been regarded as "the genius who'll only get better."
• Magnus Carlsen, the Norwegian chess player at age 22, became the second youngest world chess champion.

The correct answer is 20.

• Proteins are assembled from 20 amino acids.

Additional Information

• The linear sequence of amino acids within a protein is considered the primary structure of the protein.
  

Proteins are built from a set of only twenty amino acids, each of which has a unique side chain.

• The side chains of amino acids have different chemistries.
• The largest group of amino acids have nonpolar side chains.
• Proteins are one of the most abundant organic molecules in living systems and have an incredibly diverse range of functions.
• Each cell in a living system may contain thousands of different proteins, each with a unique function.
• Their structures, like their functions, vary greatly. They are all, however**, polymers of amino acids, arranged in a linear sequence.**
• The functions of proteins are very diverse because they are made up of are 20 different chemically distinct amino acids that form long chains, and the amino acids can be in any order.
• The function of the protein is dependent on the protein’s shape.
• The shape of a protein is determined by the order of the amino acids.
• Proteins are often hundreds of amino acids long and they can have very complex shapes because there are so many different possible orders for the 20 amino acids.

The correct answer is 1809.

• The Treaty of Amritsar was signed in 1809.

Additional Information

• It was an agreement between the British East India Company and Maharaja Ranjit Singh, the Sikh leader who founded the Sikh empire.
• Treaty of Amritsar, (April 25, 1809), pact concluded between Charles T. Metcalfe, representing the British East India Company, and Ranjit Singh, head of the Sikh kingdom of Punjab.
• The Treaty of Amritsar marked the beginning of Dogra rule in Kashmir.
• During First Anglo-Sikh War, Maharaja Gulab Singh Jamwal (Dogra) helped the British Empire against the Sikhs.
• After the defeat of the Sikh Empire, The Treaty of Lahore (9 March 1846) and the Treaty of Amritsar (16 March 1846) was signed.

The correct answer is 2003.

• Apple introduced Safari 1.0, on January 7, 2003.

Key Points

• It is a wildly successful beta program that had nearly five million downloads.
• Safari is Apple's proprietary web browser, its iCloud syncing works exclusively with Apple products.
• Safari is a web browser that is owned and operated by Apple.

Additional Information

• Google is a search engine that is powered by Google under the parent company Alphabet and can be used within the Safari web browser.
• Google Chrome is also a web browser like Safari but differs in that it is owned and operated by Google.

The correct answer is Deepa Malik.

• Deepa Malik was one of the recipients of the Rajiv Gandhi Khel Ratna Award 2019.

 

• Selection Committee for Sports Awards 2019 nominated names of Bajrang Punia (wrestling) and Deepa Malik (para-athletics) for the prestigious Rajiv Gandhi Khel Ratna and 19 payers including cricketer Ravindra Jadeja and athlete Mohammed Anas Yahiya for the Arjuna Award.

Additional Information

• Deepa Malik became the first Indian woman to win a medal at the Paralympics when she bagged a silver in the shot put F53 category (for para-athletes who make seated throws and have full muscle power at their shoulder, elbow and wrist in the throwing arm) at 2016 Rio Paralympic Games.
• Deepa Malik, who won a silver in the shot put F53 category in the 2016 Rio Paralympics, was added for the Rajiv Gandhi Khel Ratna award by a 12-member selection committee.

The correct answer is Fakhruddin Ali Ahmed.

• Fakhruddin Ali Ahmed was the President of India during the emergency of 1975-1977.

Key Points

• Prime Minister Indira Gandhi, President of India Fakhruddin Ali Ahmed proclaim a state of national emergency on 25 June 1975.
• Shah Commission was a commission of inquiry appointed by the Government of India in 1977 to inquire into all the excesses committed in the Indian Emergency (1975 - 77).

Additional Information

• It was headed by Justice J.C. Shah, a former Chief Justice of India.
• In the history of independent India, a state of emergency has been declared thrice.
• The first instance was between 26 October 1962 to 10 January 1968 during the India-China war, when "the security of India" was declared as being "threatened by external aggression".
• The final decision to impose an emergency was proposed by Indira Gandhi, agreed upon by the president of India, and thereafter ratified by the cabinet and the parliament (from July to August 1975), based on the rationale that there were imminent internal and external threats to the Indian state.

The correct answer is 1864.

• Designed in 1841, the stadium was established in 1864 and gets its name from the Eden Gardens, one of the oldest parks in Kolkata.

Key Points

• Eden Gardens is called the “Mecca of Indian cricket”, due to it being the first officially built ground for the game of cricket in India.
• The ground was named after the Eden sisters of Lord Auckland, the then Governor-General of India.
• Eden Gardens has hosted matches in major international competitions including the World Cup, World Twenty 20, and Asia Cup.
• It was established in the year 1864 and was laid by Governor-General Auckland, who named the gardens and the cricket ground after his sisters Emily and Fanny Eden.

The correct answer is Arundhati Roy.

• The God of Small Things is the debut novel of Indian writer Arundhati Roy.

​

Key Points

• The God of Small Things was Roy's first book.
• She began writing the manuscript for The God of Small Things in 1992 and finished four years later, in 1996.
• Arundhati Roy is the author of The God of Small Things, which won the Booker Prize in 1997.
• In the novel The God of Small Things, Arundhati Roy is aiming to
• Portray the differences that the Indian society casts upon its people because of being born under different circumstances; the rights you are supposed to have as a human no matter, the gender or class you are from, and for the sole reason of being a human.

Additional Information

• Two volumes of her non-fiction writing:-
• The Algebra of Infinite Justice and An Ordinary Person's Guide to Empire were published in 2001 and 2005 respectively.