SSC CHSL Previous Paper 16 (Held On: 14 Oct 2020 Shift 1) (Previous Year Paper)

The correct answer is "did not have".

Key Points

• In the given underlined segment, the use of the form of the verb 'had' is incorrect.
• The verb 'had' is the past form of 'have' and since 'did' is the past form of 'do', two past forms don't come together in a single sentence.
• When there is an auxiliary verb (here, did), the main verb (here, had) does not need to be marked for tense, because the tense is shown in the auxiliary.
• The verb that follows 'did' should be used in its base form.
• Therefore, the base form of the verb 'had' i.e. 'have' should be used here.
• Hence, the correct answer is option 1.
  

Correct Sentence: Gitanjali did not have school yesterday because it was a second Saturday.

Important Points

• However, in a sentence about the past without an auxiliary verb, the main verb does need to be in the past tense form.

The correct answer is "impoverished".

Key Points

• Given Idiom: Cash-strapped means extremely short of money.
• For example, C*ash-strapped consumers have gone deeper into debt.*
• From the given options, the third option is the most appropriate meaning of the given idiom.
• Hence, the correct answer is option 3.
  

Additional Information

• The word improving means giving moral or intellectual benefit.
• The word expensive means costing a lot of money.
• The word impoverished means (of a person or area) made poor.
• The word expanding means becoming or making larger or more extensive.

The correct answer is “Call me when you reach there”, Bharati told Rakesh.

Key Points

• The given sentence is an indirect speech.
• The basic rules for changing or converting indirect speech into direct speech:​
• The commas and inverted commas are added.
• The third person 'he' will be changed into the second person 'you'.
• The past simple tense format 'Subject + V2 (reached) + Object' will be changed into the present simple tense format 'Subject + V1 (reach) + Object'.
• From the following rules, we get the correct sentence as- option 3*.*
  

Additional Information

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

 

The correct answer is "delegates".

Key Points

• Let us explore the given options:
• 'Talents' means people possessing natural aptitude or skill.
• 'Delegates' means people sent or authorized to represent others, in particular an elected representative sent to a conference.
• 'Clever' means quick to understand, learn, and devise or apply ideas; intelligent.
• 'Intelligent' means having or showing intelligence, especially of a high level.
• Hence, the correct answer is option 2.
  

Complete Sentence: Around one hundred delegates across the world participated in the conference.

The correct answer is "It".

Key Points

• Let us explore the given options:
• The pronoun 'it' is used to refer to a thing previously mentioned or easily identified.
• The pronoun 'that' is used to identify a specific person or thing observed or heard by the speaker.
• The pronoun 'they' is used to refer to two or more people or things previously mentioned or easily identified.
• The pronoun 'which' is used for asking for information specifying one or more people or things from a definite set.
• Hence, as per the context of the sentence, the correct answer is option 1.

The correct answer is "city".

Key Points

• Let us explore the given options:
• 'City' is a large town.
• 'Tower' is a tall, narrow building, either freestanding or forming part of a building.
• 'Fort' is a fortified building or strategic position.
• 'Garden' is a piece of ground adjoining a house, in which grass, flowers, and shrubs may be grown.
• Hence, as per the context of the sentence, the correct answer is option 1.

The correct answer is "most".

Key Points

• Let us explore the given options:
• 'Chief' means the most important.
• 'More' means a greater or additional amount of something.
• 'Main' means chief in size or importance.
• 'Most' means greatest in amount, quantity, or degree.
• Hence, as per the context of the sentence, the correct answer is option 4.

The correct answer is "after".

Key Points

• Let us explore the given options:
• 'On' means in the possession of; being carried by.
• 'From' is used for indicating a source of knowledge or the basis for one's judgement.
• 'At' is used for expressing a particular state or condition.
• 'After' means in allusion to someone or something with the same or a related name.
• Hence, as per the context of the sentence, the correct answer is option 4.

The correct answer is "from".

Key Points

• Let us explore the given options:
• 'Above' means at a higher level or layer than.
• 'To' is used for expressing location, typically in relation to a specified point of reference.
• 'From' is used for indicating the distance between a particular place and another place used as a point of reference.
• 'Away' means to or at a distance from a particular place, person, or thing.
• Hence, as per the context of the sentence, the correct answer is option 3.

The correct answer is "irresponsible".

<br>

Key Points  

• The word 'Responsible' means having an obligation to do something, or having control over or care for someone, as part of one's job or role.
• The antonyms of the word 'Responsible' are "irresponsible, nonaccountable, unaccountable".
• From the antonym of the given word, we can say that the word 'irresponsible' is opposite in meaning.
• The word 'irresponsible' means (of a person, attitude, or action) not showing a proper sense of responsibility.

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

 

Additional Information

• The synonyms of the word 'Responsible' are "accountable, amenable, answerable, liable".
• Example of 'Responsible' in a sentence:
• I am responsible for your safety.

The correct answer is "​not only killed innocent persons but also".

Key Points

• In the given sentence, the use of the conjunction 'and' is incorrect.
• The conjunction 'and' is used to connect words of the same part of speech, clauses, or sentences, that are to be taken jointly.
• The conjunction 'but' is used to introduce a response expressing a feeling such as surprise or anger.
• The construction "not only...but (also)" is called correlative conjunction. It is used to present two related pieces of information.
• Both pieces of information are being presented as surprising or unexpected, with the second one being even more surprising than the first.
• Hence, the correct answer is option 3.
  

Correct Sentence: The firing of the missile not only killed innocent persons but also created a political furore.

Additional Information

• Correlative conjunctions are sort of like tag-team conjunctions. They come in pairs, and you have to use both of them in different places in a sentence to make them work. They get their name from the fact that they work together (co-) and relate one sentence element to another. Correlative conjunctions include pairs such as "both/and", "either/or", "neither/nor", "not/but" and "not only/but also".

The correct answer is "Messy".

<br>

Key Points  

• The word 'Neat' means being clean and in good order.
• The antonyms of the word 'Neat' are "messy, untidy, disordered".
• From the antonym of the given word, we can say that the word 'Messy' is opposite in meaning.
• The word 'Messy' means lacking in order, neatness, and often cleanliness.

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

 

Additional Information

• The synonyms of the word 'Neat' are "tidy, organized, systematic".
• Example of 'Neat' in a sentence:
• The crowd mostly adult in neat casual dress.

The correct answer is "Jaw".

<br>

Key Points  

• The word 'Mandible' means a lower jaw consisting of a single bone or of completely fused bones.
• From the meaning of the given word, we can say that the word 'Jaw' is the same in meaning.
• The word 'Jaw' means the parts constituting the walls of the mouth and serving to open and close it.

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

 

Additional Information

• Example of 'Mandible' in a sentence:
• I have to study the rotation and translation movements of the mandible at maximum mouth opening in normal, healthy individuals.

The correct answer is "in every my cupboard".

Key Points

• In the given sentence, the singular noun 'cupboard' is incorrect and thus the use of the determiner 'every' is also incorrect.
• The determiner 'every' refers to multiple numbers of people or items, but it considers these people or items as part of a similar collective group.
• 'Every' can only be followed by a plural noun when there is a number before that noun.
• 'Each' refers to a plural number of people or items, but it considers each person or item as an individual or dissimilar unit, it does not consider the group collectively.
• 'Each' can be followed by a determiner (my, his, the, etc.) and a plural noun.
• The format is Each of + determiner (here, my) + plural noun (here, cupboards).
• Hence, the correct answer is option 1.
  

Correct Sentence: Yesterday I searched in each of my cupboards for the shirt I couldn’t find.

The correct answer is "Despite of her tiredness".

Key Points

• In the given sentence, the use of the preposition 'of' is incorrect or superfluous.
• The phrase "despite of" is incorrect, and sounds distinctly non-native.
• We can confuse it with "in spite of" which basically has the same meaning as 'despite'.
• We should use only 'despite' instead of "despite of".
• The word 'despite' is a preposition which takes a noun as its object, and doesn't require the preposition 'of'.
• Hence, the correct answer is option 3.
  

Correct Sentence: Despite her tiredness, Meera went into the kitchen to make some dinner for the children. 

Additional Information

• The word 'despite' means without being affected by; in spite of.

The correct answer is "Resilient".

Key Points

• Let us explore the given options:
• 'Repentant' means expressing or feeling sincere regret and remorse; remorseful.
• 'Redundant' means not or no longer needed or useful; superfluous.
• 'Repugnant' means extremely distasteful; unacceptable.
• 'Resilient' means able to withstand or recover quickly from difficult conditions.
• Hence, the correct answer is option 4.
  

Complete Sentence: According to experts, some sectors remain resilient during these difficult times, including banking and financial services, FMCG, food, and technology.

The correct answer is "Scapegoat".

Key Points

• Let us explore the given options:
• 'Opponent' is someone who competes with or opposes another in a contest, game, or argument.
• 'Enemy' is a person who is actively opposed or hostile to someone or something.
• 'Competitor' is a person who takes part in a sporting contest.
• 'Scapegoat' means a person who is blamed for the wrongdoings, mistakes, or faults of others.
• Hence, the correct answer is option 4.

The correct answer is "Regain composure".

Key Points

• Given Idiom: Pull yourself together means to maintain your composure.
• For example, The match is going to get away from me if you don't pull yourself together.
• From the given options, the fourth option is the most appropriate meaning of the given idiom.
• Hence, the correct answer is option 4.
  

Mistake Points

• We may think from the phrase "pull yourself together" that it is all about to move together in a specified direction with effort, but the correct answer is option 4. So be careful while dealing with such questions.
  

Additional Information

• The idiom/phrase originates from: The origin of the idiom "pull yourself together" isn’t known for certain. What is known is that its meaning is closely related to that of another popular idiom, 'mind over matter.' 'Mind over matter' is a very old idiom – it was used in 70 BCE by the poet Virgil, in his poem The Aeneid.

The correct answer is "BDCA".

​

Key Points

• The sentence 'B' is independent of any other sentences as it is giving general information about "a grey hare". Hence, 'B' is the first part.
• The pronoun "he" in the sentence 'D' refers back to the 'grey hare' mentioned in the sentence 'B'. Hence, 'D' follows 'B'.
• The adverb "then" which means after that mentioned in the sentence 'C' is linked with the sentence 'D'. Hence, 'C' follows 'D'.
• The sentence 'A' is the concluding sentence. Hence, the sentence 'A' is the last sentence.
  

After rearranging the sentences: A grey hare lived in the woods near a village. During the winter, when night came, he would prick up one ear and listen. Then he would prick up the other, jerk his whiskers, snuff, and sit up on his hind legs. Then he would give one leap, two leaps, through the snow, and sit up again on his hind legs and look all around.

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 "Tumulttous".

Key Points    

• Let us explore the options:
• 'Pharmaceutical' means relating to medicinal drugs, or their preparation, use, or sale.
• 'Belligerent' means hostile and aggressive.
• 'Trousseau' means the clothes, linen, and other belongings collected by a bride for her marriage.
• 'Tumulttous': There is no such word in English or we can say that there is some spelling mistake in this word, correct spelling is 'Tumultuous'
• Hence, the correct answer is option 4.
  

Additional Information

• If we replace the letter 't' between 't' and 'o' with 'u' in the given word, it will become a meaningful word 'Tumultuous' which means making an uproar or loud, confused noise.

The correct answer is "Witness".

Key Points

• Let us explore the given options:
• 'Witness' is correctly spelt and it means evidence; proof.
• 'Wisdum' is wrongly spelt as the letter 'u' should be replaced by 'o'.
• 'Welth' is wrongly spelt as the letter 'a' should come between 'e' and 'l'.
• 'Wimper' is wrongly spelt as the letter 'h' should come between 'W' and 'i'.
• Hence, the correct answer is option 1.

 

Additional Information

• The correct spelling is "Wisdom." It denotes the quality of having experience, knowledge, and making good judgements; insight.
• The correct spelling is "Wealth". This word signifies an abundance of valuable possessions or money.
• The correct spelling is "Whimper". It represents a low, weak sound expressing pain or fear.

The correct answer is "The results of her experiment were shared with her colleagues by Sujata".

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 'Sujata' is the subject and 'the results' is the object.
• When we convert this sentence into passive voice, the subject 'Sujata' of the active voice becomes the object, the object 'the results' becomes the subject.
• The passive format "were + V3" should be used.
• This is the active and passive voice rule for the past simple tense.
• Hence, the correct answer is option 2.

<br>

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 "Halo".

<br>

Key Points  

• The word 'Aura' means a special quality or impression associated with something.
• The synonyms of the word 'Aura' are "halo, karma, vibration".
• From the synonym of the given word, we can say that the word 'Halo' is the same in meaning.
• The word 'Halo' means a special quality or impression associated with something.

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

 

Additional Information

• The antonyms of the word 'Aura' are "nothingness, void, emptiness".
• Example of 'Aura' in a sentence:
• They described his aura as absolutely overwhelming.

The correct answer is "BCAD".

​

Key Points

• The sentence 'B' is independent of any other sentences as it is giving general information about the "Municipal Corporation". Hence, 'B' is the first part.
• The noun "producers" in the sentence 'C' refers back to the 'producers' mentioned in the sentence 'B'. Hence, 'C' follows 'B'.
• The noun "manufacturers" mentioned in the sentence 'A' refers back to the phrase "persons engaged in the manufacture" in the sentence 'C'. Hence, 'A' follows 'C'.
• The sentence 'D' is the concluding sentence. Hence, the sentence 'D' is the last sentence.
  

After rearranging the sentences: The Municipal Corporation has introduced the extended producer's responsibility (EPR) for producers and generators of plastic waste. The producers are persons engaged in the manufacture, or import of carrying bags, multilayered packaging and sheets, and persons using them. According to the EPR, the corporation expects such manufacturers to develop a collect back system for plastic waste. They must formulate a plan to collect re-usable waste generated from their products within a prescribed timeframe.

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 "Abdication".

Key Points

• Let us explore the given options:
• Abandonment means the action or fact of abandoning or being abandoned.
• Renunciation means the formal rejection of something, typically a belief, claim, or course of action.
• Resignation means an act of resigning from a job or office.
• Abdication means an act of abdicating or renouncing the throne.
• Hence, the correct answer is option 4.

The logic is :

1. 32 - 45 → Difference is 45 - 32 = 13

2. 16 - 30 → Difference is 30 - 16 = 14

3. 13 - 16 → Difference is 16 - 13 = 3
4. 12 - 15 → Difference is 15 - 12 = 3

The difference between all numbers except 'option 2' is prime numbers or odd numbers while the difference between 30 and 16 is a composite or even number.

Hence, '16 - 30' is the correct answer.

The logic is :

Similarly,

Hence, 'QDWBU' is the correct answer.

The logic is :

44 : 408 = (44 × 9) + 12 = 396 + 12 = 408

Similarly,

53 : 489 = (53 × 9) + 12 = 477 + 12 = 489

Hence, '53 : 489' is the correct answer.

The logic is :

Temple ∶ Church → Temple and church is a place of worship.

Similarly,

College ∶ University → College and the university is an educational institution.

Hence, 'College ∶ University' is the correct answer.

The logic is :

6 + 4 = 10 → 10² = 100

7 + 5 = 12 → 12² = 144

Similarly,

9 + 4 = 13 → 13² = 169

Hence, '4' is the correct answer.

Symbol representation :

The family tree diagram is shown below -

Hence, 'Paternal grandfather' is the correct answer.

The logic is :

Similarly,

Hence, 'ERCQ' is the correct answer.

The logic is :

Given expression - [{(12 × 8) - (2 ÷ 3)} + (3 - 2)] ÷ 2  

After interchanging the signs - 

=  [{(12 - 8) + (2 × 3)} ÷ (3 + 2)] × 2  

=  [{(4) + (6)} ÷ (5)] × 2  

=  [{10} ÷ (5)] × 2  

= [2] × 2 

= 4

Hence, '4' is the correct answer.

When the folded paper is opened, the cuts will appear as follow - 

Hence, 'option 1' is the correct answer.

Option 1 and Option 3 may look similar but they are different.

Observe the vertex of the triangle then we can see the difference.

The given figure is embedded in the answer figure shown below - 

Hence, 'option 4' is the correct answer.

The logic is :

 

Given expression - 18 + 3 - 5 × 6 ÷ 4  

After interchanging the sign - 

= 18 ÷ 3 × 5 + 6 - 4    

= 6 × 5 + 6 - 4 

= 30 + 6 - 4

= 36 - 4

= 32

Hence, '32' is the correct answer.

The best possible Venn diagram for the above statements -

1. Banana is not a jam → True( All banana comes under the butter and no butter is jam therefore, no banana is jam is true)

2.Banana may or may not be a jam → False(It is definitely false from the Venn diagram)

Hence, "Only conclusion I follows" is the correct answer.

The logic is :   

 

The pattern follows in option number 2 is - ikiimmkk/ikiimmkk/ikiimmkk

Hence, 'option 2' is the correct answer.

Here the logic is :

Addition of place value of all letters + 5

O = 15 + 5 = 20

LIT = 12 + 9 + 20 = 41 + 5 = 46

Similarly,

PIG = 16 + 9 + 7 = 32 + 5 = 37

Hence, '37' is the correct answer.

Given data :

1. In a dice 1, 2, 3, and 4 dots are on the adjacent faces, in clockwise order (1 → 2 → 3 → 4)

2. 5 and 6 dots at the top and bottom respectively.

The pair of opposite faces from the given data is - 

1. 1 ⇔ 3 dots are opposite to each other.
2. 2 ⇔ 4 dots are opposite to each other.
3. 5 ⇔ 6 dots are opposite to each other.

 When 1 dot is at the top, then 3 dots will be at the bottom of the dice.

Hence, '3' is the correct answer.

Given

Price of saree = Rs. 700

Price of sandal = Rs. 500

Calculation

Such questions can be solved by using options easily

Option1: 

Price of 1 saree = 700

Remaining amount = 3800 - 700 = 3100

As, 3100 is not divisible by 500, hence this condition is not possible.

Option2:

Price of 3 sarees = 3 × 700 = 2100

Remaining amount = 3800 - 2100 = 1700

As, 1700 is not divisible by 500, hence this condition is not possible.

Option3:

Price of 4 sarees = 4 × 700 = 2800

Remaining amount = 3800 - 2800 = 1000

As 1000 is divisible by 500, hence this condition is possible.

Hence, the correct option is 3.

The logic is :

Hence, 'CGF' is the correct answer.

The mirror image of the given figure is shown below -

 

Hence, 'option 4' is the correct answer.

The Venn diagram that best represents the relationship between Sisters, Mothers, Men is shown below - 

From the above Venn diagram, it is clear that some mothers can be a sister or some sisters can be a mother but, no men can be a mother or sister.

Hence, 'option 3' is the correct answer.

The logic is :

Hence, '125' is the correct answer.

The logic is :

1. Amplify → Amplify meaning is to increase the strength of a sound, using electrical equipment or to add details to something in order to explain it more fully.

2. Microscope → A microscope is an instrument that can be used to observe small objects, even cells.

3. Gun → A gun is a ranged weapon.

4) Axe → An axe is an ancient tool. It is used to shape, split and cut wood.

All options except 'option 1' are tools or instruments.

Hence, 'Amplify' is the correct answer.

The total numbers of squares is shown in below figure -

Hence, '27' is the correct answer.

The correct logical order of the given words is shown below -

<br>

The above words are arranged in their lower value to a higher value in the table.

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

The logic is :

Paper : pulp →  Paper has been made from the pulp of a wide variety of materials such as (wood, cotton, wheat straw, sugar cane waste, flax, bamboo and hemp)

Similarly,

Sweater: Wool → Sweater is made from wool.

Hence, 'Sweater: Wool' is the correct answer.

The figure comes next in the following series is shown below -

Alternate logic: 

The shapes in each figure are shifted to their next place in a clockwise manner.

Hence, 'option 2' is the correct answer.

Given:

Number of students admitted in school S3 for both years are = 200 and 150 

Number of students admitted in school S2 for both years are = 240 and 360

Formula:

x as a percentage of y = (x/y) × 100

Calculation:

Total number of students admitted in school S3 for both years are = 200 + 150 = 350

Total number of students admitted in school S2 for both years are = 240 + 360 = 600

∴ Required percentage = (350/600) × 100 = 58.33%

Given:

sec θ and sin θ are two roots of √6 x² - kx + √6 = 0.

Formula:

If α and β are two roots of ax² + bx² + c = 0.=, then

α + β = -b/a

αβ = c/a

sin A/cos A = tan A

sec A = 1/cos A

sin 45 = 1/√2

sec 45 = √2

Calculation:

According to the question

sec θ + sin θ = k/√6     ----(1)

sec θ sin θ = √6/√6

⇒ (1/cos θ) × sin θ = 1

⇒ tan θ = 1

⇒ tan θ = tan 45

⇒ θ = 45

From equation (1)

sec 45 + sin 45 = k/√6

⇒ √2 + 1/√2 = k/√6

⇒ (2 + 1)/√2 = k/√6

⇒ 3/√2 = k/√6

⇒ k = 3√6/√2

∴ k = 3√3

Given:

Six years ago, the average of the ages of Ravi, Mohan and Govind = 32 years

If Shyam joins them now, the average of the ages of all four of them = 36 years

Formula:

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

Calculation:

Six years ago, the sum of the ages of Rav, Mohan and Govind = 32 × 3 = 96 years

Present sum of the ages of Ravi, Mohan and Govind = 96 + 18 = 114 years

Sum of ages of Shyam, Ravi, Mohan and Govind = 36 × 4 = 144 years

∴ Present age of Shyam = 144 - 114 = 30 years

Given:

4 + [3 {35 + (42 + 10 ÷ 2 × 3 - 40)} + 7]

Formula:

Calculation:

4 + [3 {35 + (42 + 10 ÷ 2 × 3 - 40)} + 7]

⇒ 4 + [3 {35 + (42 + 5 × 3 - 40)} + 7]

⇒ 4 + [3 {35 + (42 + 15 - 40)} + 7]

⇒ 4 + [3 {35 + 17} + 7]

⇒ 4 + [3 × 52 + 7]

⇒ 4 + [156 + 7]

⇒ 4 + 163

⇒ 167

∴ The correct answer is 167

Given:

The length of a cuboid is increased = 10%

The breadth of a cuboid is increased = 20%

The height of a cuboid decreased = 20%

Formula:

Volume of cuboid = lbh

Calculation:

Let the length, breadth and height of cuboid be 10 unit

Volume of cuboid = 10 × 10 × 10 = 1000 

New length of cuboid = 10 × (110/100) = 11

New breadth of cuboid = 10 × (120/100) = 12 

New height of cuboid = 10 × (80/100) = 8

Volume of cuboid = 11 × 12 × 8 = 1056

Volume increase = 1056 - 1000 = 56 

∴ Volume increased by (in %) = (56/1000) × 100 = 28/5 = $5 \dfrac{3}{5} \%$

Given:

The given equation is 3x2 + 5x – 2 = 0

Calculation:

3x2 + 5x – 2 = 0

⇒ 3x2 + 6x – x – 2 = 0

⇒ 3x (x + 2) – 1 (x + 2) = 0

⇒ (3x – 1) (x + 2) = 0

Taking,

3x – 1 = 0

⇒ 3x = 1

⇒ x = 1/3

Taking,

(x + 2) = 0

∴ x is –2

Formula:

Each angle of equilateral triangle is 60° .

Exterior angle of a triangle is equal to the sum of the interior opposite angles.

Calculation:

Let ABC is equilateral triangle.

∠A = ∠B = ∠C = 60°.

According the theorem

∴ The value of each exterior angle = 60° + 60° = 120°.

Given:

x : y = 3 : 2 

x + y = 90

Formula:

If N is divided into a : b, then

First part = N × a/(a + b)

Second part = N × b/(a + b)

Calculation:

x : y = 3a : 2a

According to the question

3a + 2a = 90

⇒ 5a = 90

⇒ a = 90/5

⇒ a = 18

x = 3 × 18 = 54

y = 2 × 18 = 36

Now,

7(x - y) ∶ (x + y) 

⇒ 7 (54 - 36) : (54 + 36)

⇒ 7 × 18 : 90

⇒ 7 : 5

Given:

Number of students admitted in school S3 in 2018 = 150

Number of students admitted in school S4 in 2018 = 250

Number of students admitted in school S1 in 2017 = 250

Number of students admitted in school S2 in 2017 = 240

Formula:

x as a percentage of y = (x/y) × 100 

Calculation:

Average admission in school S3 and S4 in 2018 = (150 + 250)/2 = 400/2 = 200

Average admission in school S1 and S2 in 2017 = (250 + 240)/2 = 490/2 = 245

∴ Required percentage = (200/245) × 100 = 81.63%

Given:

∠PAQ = 70°

Concept:

The radius from the center of the circle to the point of tangency is perpendicular to the tangent line.

Calculation:

∠PAQ + ∠POQ + ∠OPA + ∠OQA = 360°

⇒ 70° + ∠POQ + 90° + 90° = 360°

⇒ ∠POQ = 360° - 70° - 90° - 90°

⇒ ∠POQ = 110°

⇒ ∠AOP = ∠AOQ = ∠POQ/2

⇒ ∠AOP = 110°/2

⇒ ∠AOP = 55°

∴ The value of ∠AOP is 55°.

Given:

SP of a book after 10% discount = Rs. 486

Formula:

SP = MP × [(100 - Discount%)/100[]

Calculation:

MP of the book = 486 × (100/90)

∴ MP of the book = Rs. 540.

Given:

Total number of students admitted in the four schools in 2017 = 250 + 240 + 200 + 300 = 990 

Total number of students admitted in the four schools in 2018 = 320 + 360 + 150 + 250 = 1080

Calculation:

∴ The ratio between total number of students admitted in the four schools in 2017 to the total number of students admitted in the four schools in 2018 = 990 : 1080 = 11 : 12

Given:

CP of 12 pens is equal to the SP of 8 pens.

Formula:

Profit % = (Profit/CP) × 100

Calculation:

According to the question

12 CP = 8 SP

⇒ CP : SP = 8 : 12

⇒ CP : SP = 2 : 3

Let CP = Rs. 2 and SP = 3

Profit = 3 - 2 = 1

Profit = (1/2) × 100

∴ Profit % is 50%

Shortcut Trick

Concept used:

If cost article > selling article, then there is profit,

So, profit % = (cost article - selling article)/(selling article) × 100

Calculation:

⇒ Profit = (12 - 8)/8 × 100

⇒ Profit = 50%

Given:

(a + 2b)2 - (a - 2b)2

Formula:

(x + y)2 = x2 + y2 + 2xy

(x - y)² = x² + y² - 2xy

Calculation:

(a + 2b)2 - (a - 2b)2

⇒ a² + 4b² + 4ab - (a2 + 4b2 - 4ab)

⇒ a2 + 4b2 + 4ab - a2 - 4b2 + 4ab

⇒ 8ab

Given:

If 2x3 + ax2 + bx - 2 leaves the remainders 7 and 0 when divided by (2x - 3) and (x + 2), respectively.

Calculation:

If 2x3 + ax2 + bx - 2 is divided by (2x - 3), remainder = 7

2x - 3 = 0

2x = 3

x = 3/2

Put x = 3/2 in 2x3 + ax2 + bx - 2 = 7

⇒ 2 × (3/2)3 + a × (3/2)2 + b × (3/2) - 2 = 7

⇒ 2 × (27/8) + a × (9/4) + 3b/2 = 7 + 2

⇒ 27/4 + 9a/4 + 3b/2 = 9

⇒ 9a/4 + 3b/2 = 9 - (27/4)

⇒ 9a/4 + 3b/2 = (36 - 27)/4

⇒ (9a + 6b)/4 = 9/4

⇒ 9a + 6b = 9     ----(1)

Similarly, 

If 2x3 + ax2 + bx - 2 is divided by (x + 2), remainder = 0

x + 2 = 0

x = -2

Put x = -2 in 2x3 + ax2 + bx - 2 = 0

⇒ 2 × (-2)3 + a × (-2)2 + b × (-2) - 2 = 0

⇒ 2 × (-8) + a × (4) - 2b - 2 = 0 

⇒ -16 + 4a - 2b - 2 = 0

⇒4a - 2b = 18     ----(2)

Multiply by 3 in equation (2)

⇒ 12a - 6b = 54     ----(3)

Add equation (1) and equation (3)

⇒ 21a = 63

⇒ a = 63/21

∴ a = 3 

Put a = 3 in equation (2)

⇒ 4 × 3 - 2b = 18

⇒ 12 - 2b = 18

⇒ 2b = 12 - 18

⇒ 2b = -6

∴ b = -3

Given:

Total number of students admitted in all four schools in 2018 = 320 + 360 + 150 + 250 = 1080

Formula:

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

Given:

∴ Average number of students admitted to all schools in 2018 = 1080/4 = 270

Given:

P = Rs. 4,000

Rate = 5%

CI = Rs. 630.50

Formula:

CI = P [(1 + r/100)^t - 1]

Calculation:

630.50 = 4,000 [(1 + 5/100)^t - 1]

⇒ [(1 + 5/100)t - 1] = [630.50/4000]

⇒ (21/20)^t = [630.50/4000 + 1]

⇒ (21/20)^t = (4630.50/4000)    

⇒ (21/20)^t = 9261/8000

⇒ (21/20)^t = (21/20)³

Compare on power

⇒ t = 3

∴ The time period is 3 years.

Given:

Areas of two similar triangles are 324 cm² and 225 cm².

If the altitude of the smaller triangle = 10 cm.

Given:

If ΔABC ∼ ΔPQR, then

Area of ΔABC/Area of ΔPQR = (AB/PQ)² = (BC/QR)² = (AC/PR)²

Calculation:

Let altitude of bigger triangle is x cm, then

(x/10)² = (324/225)

⇒ x/10 = √324/225

⇒ x/10 = 18/15

⇒ x = (18/15) × 10

⇒ x = 12

∴ Altitude of bigger triangle is 12 cm.

Given:

Tap A can fill a tank in = 20 hrs

Tap B can fill the same tank = 30 hrs

Calculation:

Total work = Efficiency × Time

Calculation:

Total work = 60 unit

Efficiency of A = 3 unit/hrs

Efficiency of B = 2 unit/hrs

Total efficiency of A and B = 2 + 3 = 5 unit/hrs

∴ Time taken by A and B to fill the tank = 60/5 = 12 hrs

Given:

A boat covered 15 km upstream distance in = 5 hrs

A boat covered 42 km downstream distance in = 6 hrs.

Formula:

Speed = distance/time

If speed of boat and stream be x and y km/hr respectively, then

Upstream speed = (x – y) km/hr

Downstream speed = (x + y) km/hr

Calculation:

Let speed of boat and stream be x and y km/hr respectively, then

Upstream speed = (x – y) km/hr

Downstream speed = (x + y) km/hr

According to the question

(x + y) = 42/6

⇒ (x + y) = 7     ----(1)

(x - y) = 15/5

⇒ (x - y) = 3     ----(2)

Add equation (1) and equation (2)

⇒ 2x = 10

⇒ x = 5 

From equation (1)

5 + y = 7

⇒ y = 7 - 5

⇒ y = 2

∴ Speed of stream is 2 km/hr.

Alternate Method

**Concept used:**If the upstream speed is U and the downstream speed is D,

Then, the speed of stream = (D - U)/2

And, the speed of Boat = (D + U)/2

Calculation:

According to the question,

Downstream speed = 42/6 = 7 km/hr

Upstream speed = 15/5 = 3 km/hr

So, speed of stream is (7 - 3)/2 = 2 km/hr

Given:

cos x = 24/25

Formula:

cos x = Base/Hypotenuse

cot x = Base/Perpendicular

cosec x = Hypotenuse/Perpendicular

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

Calculation:

cos x = Base/Hypotenuse = 24/25

Base = 24 and Hypotenuse = 25

25² = 24² + (Perpendicular)²

⇒ (Perpendicular)² = 625 - 576 

⇒ (Perpendicular) = √49

⇒ Perpendicular = 7

Now,

cot x + cosec x

⇒ 24/7 + 25/7

⇒ 49/7

⇒ 7

Given:

tan x = 3/2

Formula:

tan x = sin x/cos x

Calculation:

(3 sin x + 2 cos x)/(3 sin x - 2 cos x)

Divide cos x

⇒ (3 tan x + 2)/(3 tan x - 2)

⇒ (3 × 3/2 + 2)/(3 × 3/2 - 2)

⇒ (4.5 + 2)/(4.5 - 2)

⇒ 6.5/2.5

⇒ 13/5

Shortcut Trick

<br>

Here, tan x = 3/2

According to the question, we can put sin x = 3 & cos x = 2,

We get,

⇒ (3 sin x + 2 cos x)/(3 sin x - 2 cos x)

⇒ (3 × 3 + 2 × 2)/(3 × 3 - 2 × 2)

⇒ 13/5

Given:

The radius of a circular cylinder = 5 cm

height of the circular cylinder = 14 cm

Formula:

Volume of cylinder = πr²h

Calculation:

r = 5 cm and h = 14 cm

Volume of cylinder = (22/7) × 5 × 5 × 14

∴ Volume of cylinder = 1100 cm²

Given:

The given numbers is 19596.

Formula:

Divisibility law of 9 ⇒ A number is divisible by 9 if sum of its digit is divisible by 9.

Calculation:

19596 ÷ 9, then 

Remainder = 3,

∴ The nearest number which is divisible by 9 = 19596 - 3 = 19593

∴ The next number which is divisible by 9 = 19593 + 9 = 19602

Given:

AP = 12 cm

∠PAQ =  60°

Formula:

The radius from the center of the circle to the point of tangency is perpendicular to the tangent line.

sin A = Perpendicular/Hypotenuse

tan A = Perpendicular/Base

Calculation:

In OPAQ

∠OPA + ∠OQA + ∠PAQ + ∠POQ = 360°

⇒ 90° + 90° + 60° + ∠POQ = 360° - 240°

⇒ ∠POQ = 120°

⇒ ∠POA = ∠QOA = ∠POQ/2

⇒ ∠POA = 120°/2

⇒ ∠POA = 60°

In ΔOPA

tan 60 = PA/OP

⇒ √3 = 12/OP

⇒ OP = 12/√3

⇒ OP = 4√3

In ΔOPM

sin 60 = PM/OP

⇒ √3/2 = PM/4√3

⇒ PM = (√3/2) 4√3

PM = 6

⇒ PQ = 2PM

⇒ PQ = 2 × 6

⇒ PQ = 12 cm

∴ The length of chord PQ is 12 cm.

The Correct Answer is Kerala.

• Mohiniyattam literally interpreted as the dance of ‘Mohini’, the celestial enchantress of Hindu mythology, is the classical solo dance form of Kerala.

Key Points

• References to Mohiniyattam can be found in the texts Vyavaharamala written in 1709 by Mazhamagalam Narayanan Namputiri and in Ghoshayatra, written later by poet Kunjan Nambiar.
• It has elements of Bharatanatyam (grace & elegance) and Kathakali (vigor) but is more erotic, lyrical, and delicate.
• Mohiniyattam is characterized by graceful, swaying body movements with no abrupt jerks or sudden leaps.
• It belongs to the lasya style which is feminine, tender, and graceful.
• The movements are emphasized by the glides and the up and down movement on toes, like the waves of the sea and the swaying of the coconut, palm trees, and paddy fields.
• Realistic make-up and simple dressing (in Kasavu saree of Kerala) are used.

Additional Information

8 classical dance forms of India

The Correct Answer is ​GNP – Depreciation.

Key Points

• Net National Income is Gross National Income or Gross National Product less depreciation.
• When depreciation is deducted from the GNP, we get Net National Income.

Important Points

• National income
• It is the sum of income earned by its residents from the factor services rendered to the production units, both within and outside the geographical boundaries of the country.
• GNP
• Gross National Product is defined as the total market value of all final goods and services produced in a year by Nationals of a country both inside and outside the country’s territory.
• Depreciation
• Depreciation represents how much of an asset's value has been used up.

The Correct Answer is Outer Himalayas.

• The Sivalik Hills are a mountain range of the outer Himalayas.
• It stretches from the Indus River about 2,400 km eastwards close to the Brahmaputra River, spanning across the northern parts of the Indian subcontinent.

 

Key Points

• The Shiwaliks or Outer Himalayas
• The Shiwaliks extend from the Jammu Division of Jammu and Kashmir State to Assam.
• In width, Shiwaliks vary from 8 km in the east to 45 km in the west with an average elevation of about 1000- 1500 m above sea level.
• It is not a continuous range.

Additional Information

• The Himalayas may be divided into the following four divisions from north to south:
• The Trans-Himalayas
• The Trans-Himalayas is about 40 km wide. They contain the Tethys sediments
• The Greater Himalayas
• The Greater Himalayas rise abruptly like a wall north of the Lesser Himalayas.
• The Main Central Thrust separates the Greater Himalayas from the Lesser Himalayas.
• The Greater Himalayas are about 25 km wide with an average height above 6100 meters.
• Almost all the lofty peaks of the Himalayas Mb Everest, Kanchanjunga, Nanga-Parbat, Gasherbrum, Manaslu, Dhaulagiri, Annapurna, Gosainthan, Cho-Cyu, Nanda-Devi, Kamet, Badrinath, etc. Nanda Devi, etc., lie in this zone.
• The Lesser Himalayas
• The width of the Lesser Himalayas is about 80 km with an average height of 1300-4600 m**.It is divided into Pir Panjal range and Dhauladhar range. Important places are Kullu Manali,Shimla etc.**
• The Shiwaliks or Outer Himalayas

The Correct Answer is Assam.

Key Points

• Five Indian states – Uttar Pradesh, Uttarakhand, West Bengal, Sikkim, and Bihar share their borders with Nepal.
• Assam does not share its boundary with Nepal.

Important Points

The incorrect statement is Compounds have a variable composition.

• Compounds have a fixed composition throughout the mass, Hence Option 2 is Not true.

 

Key Points

• Properties of Compound
• A compound is a substance made up of two or more elements chemically combined in a fixed proportion by mass.
• A compound cannot be separated into its constituents by physical processes (It can only be separated into
  

its constituents by chemical processes).

• The properties of a compound are entirely different from those of its constituents.
• Energy (in the form of heat, light, etc.) is usually given out or absorbed during the preparation of a compound.
• The composition of a compound is fixed, the constituents are present in a fixed proportion by mass.
• A compound has a definite formula.
• A compound has a fixed melting point, boiling point.

The Correct Answer is Digitizer.

 

Key Points

• A digitizer is a hardware device that receives analog information, such as sound or light and converts it into digital form.
• Usually, the information is stored in a file on a computing device.
• This process is called digitization.
• A digital camera is one example of a digitizer.

 

Additional Information

• Optical Mark Reading (OMR) is a method of entering data into a computer system.
• The OMR technology could be used if data is to be collected from a large number of sources simultaneously, a large volume of data must be collected and processed in a short period of time.
• A barcode reader is an optical scanner that can read printed barcodes, decode the data contained in the barcode, and send the data to a computer.

The correct answer is The President of India.

 

Key Points

• Article 61 of the constitution provides for the Impeachment of the President of India.
• The President can be removed from office by impeachment for violation of the Constitution.
• The charges of impeachment can be initiated in either house of the Parliament.
• The charges need to be signed by 1/4th of the members of the House and a 14-day notice should be given to the President.
• After the impeachment resolution is passed by a majority of the two-thirds of the majority of that House, it is sent to the other to investigate the charges.
• If the other House also passes the resolution for impeachment by a majority of two-thirds of the total membership of that House, the President then stands impeached from his office from the date on which the resolution has been passed.

Additional Information

• The Governor of any state can be removed from his office by the President anytime.
• there is no special procedure required to remove the governor from his office.
• State legislature or the Parliament can not remove the governor from his office.
• The PM of India can be removed from his office by the president if he loses majority support in the lower House i.e. Lok Sabha or upon expiry of his term.
• The CM of Indian states can be removed from his office by the governor if he loses majority support in State Legislative Assembly or upon the expiry of his term.

The Correct Answer is AB+.

Key Points

• The universal recipient blood type is AB positive (also written as AB+).
• Any person with this blood type is able to safely receive a blood transfusion from any of the other blood types.

Important Points

• Antigens determine how a blood recipient reacts to a blood transfusion.
• An antigen is any substance the immune system can respond to.
• If the immune system encounters an antigen that is not found on the body's own cells, it will set off an attack to fight that antigen.

 

Additional Information

• O blood types are unique in that they have no antigens.
• The universal donor blood type is O negative
• O negative blood is considered the universal blood donor type because it is compatible with all A, AB, B, and O positive blood types.

The Correct Answer is Russia.

Key Points

• Russian Prime Minister Dmitry Medvedev resigned.
• He resigned from the post after president Putin called for constitutional changes in his annual address.

Additional Information

• Mikhail Vladimirovich Mishustin became the Prime Minister of Russia on 16 January 2020.

The Correct Answer is 14^th.

• Ram Nath Kovind became the 14th President of India.

 

Key Points

• Ram Nath Kovind has served as the 14th President of India.
• Prior to his nomination, he served as the 26th Governor of Bihar from 2015 to 2017 and as a Member of Parliament, Rajya Sabha from 1994 to 2006.
• Kovind was nominated as a presidential candidate by the ruling NDA coalition and won the 2017 presidential election.

 

Additional Information

• Dr. Rajendra Prasad is the First President of India.
• Neelam Sanjiva Reddy is the first person to be elected President of India without a contest and remains the only President to have been elected unopposed.
• Droupadi Murmu has been elected as the 15th President of India. She defeated the opposition candidate Yashwant Sinha in the election, the result of which was announced on Thursday (July 21).

The Correct Answer is ​Subhash Chandra Bose.

• In 1938 in the Haripura session, Subhas Chandra Bose was elected as the president of INC.
• In the Haripura session, National Planning Committee set up under Jawahar Lal Nehru.

 

Important Points

• Annie Besant was elected as the First Woman President of Congress in Calcutta in 1917.
• Dr. Rajendra Prasad served as the President of the Indian National Congress in 1934 at the Bombay session and again in 1939 at the Tripuri session.
• Dr. Prasad was an active participant in India's freedom struggle and played a key role in the drafting of the Indian Constitution after independence. He was also the first President of independent India, serving from 1950 to 1962.

Additional Information

• The First Session of INC was held at Bombay in 1885.
• President: W.C. Bannerjee.

The correct answer is Dipika Pallikal.

Key Points

• Dipika Pallikal is an Indian professional squash player.
• She is the first Indian to break into the top 10 in the PSA Women's rankings.
• She is married to Indian Cricketer Dinesh Karthik.

 

Additional Information

• Karnam Malleswari is a retired Indian weightlifter.
• She is the first Indian woman to win a medal at the Olympics.
• Saikhom Mirabai Chanu is an Indian weightlifter.
• She was awarded the Padma Shri by the Government of India for her contributions to the sport.
• Rakhi Haldar is also a weight lifter.
• In 2019, She won a bronze medal at the Qatar International Cup.

The Correct Answer is ​Ben Stokes.

Key Points

• England Cricketer Ben Strokes has won the BBC Sports Personality of the year 2019.
• He was presented with his award by Princess Royal and former Manchester United and Scotland footballer Denis Law.

 

Additional Information

• Wayne Mark Rooney 
• ​He is an English professional footballer who plays for Championship club Derby County.
• Kane Stuart Williamson is a New Zealand international cricketer.
• He is currently the captain of the New Zealand national team in all formats.
• Kylian Mbappé Lottin
• He is a French professional footballer who plays as a forward for Ligue 1 club, Paris Saint-Germain, and the France national team.

The Correct Answer is Joystick.

 

Key Points

• Joy Stick is a  pointing device used to move an object on a screen in any direction.
• It employs a vertical rod mounted on a base with one or two buttons.
• Joysticks are often used to control video games, and usually have one or more push-buttons whose state can also be read by the computer.

 

Additional Information

• Optical Mark Reading (OMR)
• Optical Mark Reading (OMR) is a method of entering data into a computer system.
• Optical Mark Readers reads pencil or pen marks made in pre-defined positions on paper forms as responses to questions or tick list prompts.
• Visual Display Unit
• Visual Display Unit is a device for displaying input signals as characters on a screen.
• The monitor is an example of VDU.
• MIDI (Musical Instrument Digital Interface) controller
• It is a way to connect devices that make and control sounds — such as synthesizers, samplers, and computers — so that they can communicate with each other.