Previous Year Paper

SSC CHSL 2020 Official Paper 26 (Held on: 9 Aug 2021 Shift 2) (Previous Year Paper)

Held in 2020

100 questions60 minutes
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English Language (25 questions)

Question 1

Select the option that expresses the given sentence in direct speech.

The plumber told Ranjit that he had fixed the leaking tap

  1. AOption (a)

    The plumber told Ranjit, “Had he fixed the leaking tap?”

  2. BOption (b)

    The plumber said to Ranjit, “You had fix the leaking tap.”

  3. COption (c)

    The plumber said to Ranjit, “I have fixed the leaking tap.”

  4. DOption (d)

    The plumber told to Ranjit, “He had fixed the leaking tap.”

View answer & explanation

Correct answer

Answer: (c)C.

The plumber said to Ranjit, “I have fixed the leaking tap.”

Why this answer is correct

The correct answer is 'The plumber said to Ranjit, “I have fixed the leaking tap.”'

Key Points

  • The given sentence in Indirect speech.
  • As the reported verb is 'told' then we need to change it into 'said to' also the tense of the sentence is in the past perfect tense hence, we need to use a present perfect tense.
  • Also, the pronoun will be according to the 'Subject' i.e. 'The plumber' the receiver is 'Ranjit'
  • Hence, the correct direct speech is Option 3.

Additional Information

  • Some of the important rules-
  • In complex sentences, the past simple and past continuous may remain unchanged if the temporal relationship between the events in the clauses is clear from the context
  • Example- John said to me, "When I got home, I went to bed straight away." (Direct speech)

John told me that when he got home he went to bed straight away. (Indirect speech)

  • When the reported is in the present tense then the tense of the sentence will not be changed.

Question 2

Select the INCORRECTLY spelt word.

  1. AOption (a)

    Business

  2. BOption (b)

    Corporation

  3. COption (c)

    Multinational

  4. DOption (d)

    Conglomarate

View answer & explanation

Correct answer

Answer: (d)D.

Conglomarate

Why this answer is correct

The incorrect spelling is- Conglomarate

Key Points

  • The correct spelling is- Conglomerate
  • The meaning of the word is- a large firm made up of several different companies विभिन्‍न कंपनियों से मिलकर बनी एक बड़ी कंपनी
  • The rest of the spellings is correct.

Additional Information

  • The meaning of the words are-
  • Business- buying and selling as a way of earning money; commerce व्‍यापार, कारोबार, धंधा, वाणिज्‍य
  • Corporation- a large business company कोई बड़ी व्‍यापारिक कंपनी; कारपोरेशन
  • Multinational- existing in or involving many countries बहुराष्‍ट्रीय (जो अनेक देशों में फैला हो या जिसमें अनेक देश शामिल हों)

Question 3

Select the option that can be used as a one-word substitute for the given group of words.

The nest of a squirrel, typically in the form of a mass of twigs in a tree

  1. AOption (a)

    Drey

  2. BOption (b)

    Hole

  3. COption (c)

    Lair

  4. DOption (d)

    Burrow

View answer & explanation

Correct answer

Answer: (a)A.

Drey

Why this answer is correct

The correct answer is 'Drey'

Key Points

  • Let's see the meanings of the given words-
  • Drey- the nest of a squirrel, typically in the form of a mass of twigs in a tree.
  • Hole- a hollow place in a solid body or surface.
  • Lair- a place where a wild animal, especially a fierce or dangerous one, lives
  • Burrow- a hole or tunnel dug by a small animal, especially a rabbit, as a dwelling.
  • Hence, according to the meaning of the given words, the correct answer is Option 1.

Question 4

Select the most appropriate meaning of the given idiom.

A fire in someone’s belly

  1. AOption (a)

    one who continues to work without wanting a reward

  2. BOption (b)

    one who comes from a middle class background

  3. COption (c)

    one who is rich and powerful and exploits the poor

  4. DOption (d)

    one who is energetic and enthusiastic about something

View answer & explanation

Correct answer

Answer: (d)D.

one who is energetic and enthusiastic about something

Why this answer is correct

The correct answer is one who is energetic and enthusiastic about something

Key Points

  • The meaning of the idiom 'A fire in someone's belly' is- a powerful sense of ambition or determination.' (किसी के पेट में आग' है- महत्वाकांक्षा या दृढ़ संकल्प की एक शक्तिशाली भावना)
  • Let's see an example-
  • Neither of the candidates has a fire in his belly, so it's hard to get excited about them.
  • Hence, the correct answer is Option 4.

Question 5

Select the most appropriate synonym of the given word.

Allege

  1. AOption (a)

    Appease

  2. BOption (b)

    Soothe

  3. COption (c)

    Placate

  4. DOption (d)

    Charge

View answer & explanation

Correct answer

Answer: (d)D.

Charge

Why this answer is correct

The correct answer is 'Charge'

Key Points

  • Let's see the meanings of the given words-
  • Allege- to say that somebody has done something wrong, but without having any proof that this is true बिना प्रमाण के आरोप लगाना
  • Soothe- to make somebody calmer or less upset; to comfort somebody किसी व्‍यकि्त की परेशानी या विक्षोभ कम करना; किसी को आराम या राहत पहुँचाना
  • Placate- to make somebody feel less angry about something किसी को शांत करना
  • Charge- a statement that says that somebody has done something illegal or bad आरोप, अभियोग
  • Hence, according to the meanings of the given words, the correct answer is Option 4.

Question 6

Examine the four jumbled sentences. Out of the given options, pick the one that gives their correct order.

A. They can travel to the airport by personal vehicle or registered cabs only.

B. Finally, all passengers are advised to strictly follow social distancing markers.

C. According to the Government guidelines, air travel is declared open from May 2020 for passengers.

D. Once there, they can walk in through the Entry Gates, which shall be kept open.

  1. AOption (a)

    BCAD

  2. BOption (b)

    DCAB

  3. COption (c)

    CADB

  4. DOption (d)

    ACBD

View answer & explanation

Correct answer

Answer: (c)C.

CADB

Why this answer is correct

The correct answer is 'CADB'

Key Points

  • On reading the sentences, we can easily comprehend that the passage is talking about government guidelines for air travel.
  • The introductory sentence will be C as it tells us about the government guidelines and when they are initiated.
  • The second sentence will be A as it tells us that how can one travel to airport.
  • The third sentence will be D as it tells us that what we have to do after reaching the airport.
  • The fourth sentence will B as it is only sentence which is remaining.

Hence, the correct passage is- According to the government guidelines, air travel is declared open from May 2020 for passengers. They can travel to the airport by personal vehicle or registered cabs only. Once there, they can walk in through the Entry Gates, which shall be kept open. Finally, all passengers are advised to strictly follow social distancing markers.

Question 7

Select the most appropriate word to fill in the blank.

The kite was stuck so high on the tree that it was ______ the reach of the boys.

  1. AOption (a)

    below

  2. BOption (b)

    beyond

  3. COption (c)

    beside

  4. DOption (d)

    beneath

View answer & explanation

Correct answer

Answer: (b)B.

beyond

Why this answer is correct

The correct answer is 'beyond'

Key Points

  • The sentence means that the kite was stuck on the tree and the boys can not reach there because it is too high and it is beyond there limits.
  • Hence, the correct preposition should be beyond it means further than; later than से आगे; के बाद

So the correct sentence is- The kite was stuck so high on the tree that it was beyond the reach of the boys.

Question 8

Select the most appropriate ANTONYM of the given word.

DISJOINTED

  1. AOption (a)

    soft

  2. BOption (b)

    connected

  3. COption (c)

    abrupt

  4. DOption (d)

    sharp

View answer & explanation

Correct answer

Answer: (b)B.

connected

Why this answer is correct

The correct answer is 'connected'

Key Points

  • Let's see the meanings of the given words-
  • Disjointed- (used especially about ideas, writing or speech) not clearly connected and therefore difficult to follow विशृंखलित और इसलिए समझने में कठिन
  • Soft- not hard or firm कठोर या पक्‍का नहीं; कोमल, नरम, मुलायम
  • Connected- to be joined to something; to join something to something else किसी के साथ जुड़ना; दो वस्‍तुओं को जोड़ना, मिलाना
  • Abrupt- sudden and unexpected आकस्मिक और अप्रत्‍याशित
  • Sharp- having a very thin but strong edge or point; that can cut or make a hole in something easily तेज़ धार या नोंक वाला, धारदार या नोकदार; जो आसानी से किसी वस्‍तु को काट दे या उसमें छेद कर दे, पैना, तीक्ष्‍ण
  • Hence, according to the meanings of the given words, the correct answer is Option 2 i.e. connected.

Question 9

Select the correct passive form of the given sentence.

How much will they pay you?

  1. AOption (a)

    How much will you be paid by them?

  2. BOption (b)

    How much will they be paying?

  3. COption (c)

    Payment will be done by them?

  4. DOption (d)

    They will have paid you how much?

View answer & explanation

Correct answer

Answer: (a)A.

How much will you be paid by them?

Why this answer is correct

The correct answer is How much will you be paid by them?

Key Points

  • The given sentence is an interrogative sentence active voice.
  • While changing it into the passive voice we need to use the following structure-
  • How + adverb + helping verb + be + V3 + by + Object?
  • Hence, the correct passive voice of the sentence is given in Option 1.

Question 10

The following sentence has been split into four segments. Identify the segment which contains a grammatical error.

He will be leaving / home at 8 a.m. / to beating / the office rush hour.

  1. AOption (a)

    to beating

  2. BOption (b)

    He will be leaving

  3. COption (c)

    home at 8 a.m.

  4. DOption (d)

    the office rush hour

View answer & explanation

Correct answer

Answer: (a)A.

to beating

Why this answer is correct

The erroneous part is 'to beating'

Key Points

  • Instead of using 'to beating' we need to use 'to beat'
  • In the given sentence, we need to use an infinitive phrase instead of prepositional phrase.
  • We use the infinitive phrase when the action of the sentence has yet not happened or it is going to be happened soon. In the given sentence, it is clearly given that he will be leaving office as it is future prospect of the sentence. Hence, we need to use an infinitive phrase.

So the correct sentence is- He will be leaving home at 8 a.m. to beat the office rush hour.

Question 11

Select the most appropriate word to fill in the blank.

A good teacher is the one who can explain the most complex subjects in a ______ way.

  1. AOption (a)

    straightforward

  2. BOption (b)

    distracted

  3. COption (c)

    lengthy

  4. DOption (d)

    roundabout

View answer & explanation

Correct answer

Answer: (a)A.

straightforward

Why this answer is correct

The correct answer is straightforward.

Key Points

  • Let's see the meanings of the given words-
  • Straightforward- easy to do or understand; simple सुकर या सुबोध जिसे करना या समझना आसान हो; सरल
  • Distracted- to take somebody’s attention away from something किसी व्‍यक्ति का किसी वस्‍तु से ध्यान हटाना
  • Lengthy- very long बहुत लंबा, दीर्घ
  • Roundabout- a circle where several roads meet, that all the traffic has to go round in the same direction चौराहे का गोल चक्‍कर (जिसको चक्‍कर लगाते हुए ट्रैफ़िक को जाना होता है)
  • Hence, according to the meanings of the given words, the correct answer is Option 1.

Question 12

Select the most appropriate ANTONYM of the given word.

Drab

  1. AOption (a)

    Tiring

  2. BOption (b)

    Boring

  3. COption (c)

    Bright

  4. DOption (d)

    Dry

View answer & explanation

Correct answer

Answer: (c)C.

Bright

Why this answer is correct

The correct answer is: Option 3.

Key Points

  • The word "Drab" means something that is dull, lacking brightness or interest. (नीरस)
  • Example: The room was painted in drab colors, making it look very uninviting.
  • "Bright" refers to something that is full of light, vivid, and lively. (चमकीला)
  • Example: The bright sunlight filled the room, making it feel warm and cheerful.
  • Hence, we can infer that the opposite of 'Drab' is 'Bright'.

Therefore, the correct answer is: Option 3.

Additional Information

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

  • Tiring (थकाने वाला): Something that causes you to feel tired.
  • Example: The long hike up the mountain was very tiring.
  • Boring (उबाऊ): Something that is not interesting or exciting.
  • Example: The lecture was so boring that several students fell asleep.
  • Dry (सूखा): Lacking moisture; not wet.
  • Example: The desert is known for its dry climate.

Question 13

Select the word which means the same as the group of words given.

A sentimental longing for a time in the past

  1. AOption (a)

    nostalgia

  2. BOption (b)

    myopia

  3. COption (c)

    dystopia

  4. DOption (d)

    sepia

View answer & explanation

Correct answer

Answer: (a)A.

nostalgia

Why this answer is correct

The correct answer is Nostalgia.

Key Points

  • Let's see the meanings of the given words-
  • Nostalgia- a feeling of pleasure, mixed with sadness, when you think of happy times in the past अतीत के सुखद प्रसंगों की याद से उभरी आनंद और विषाद की मिश्रित भावना; गृहातुरता
  • Myopia- the inability to see things clearly when they are far away दूर की वस्‍तुओं को स्‍पष्‍टता से न देख पाना, निकट-दृष्टिता
  • Dystopia- an imagined state or society in which there is great suffering or injustice, typically one that is totalitarian or post-apocalyptic.
  • Sepia- a reddish-brown colour associated particularly with monochrome photographs of the 19th and early 20th centuries
  • Hence, according to the meanings of the given words, the correct answer is Option 1.

Question 14

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.

A. That is why they are considered the best indoor plants to keep at homes and offices.

B. The indoor bonsai plants enhance the aesthetic appeal of the space and offer multiple health and psychological benefits.

C. Bonsai is an important part of Japanese culture dating back to the 14th century.

D. It is the art of cultivating small trees within a container that take the shape and scale of full-size trees.

  1. AOption (a)

    CDBA

  2. BOption (b)

    ABCD

  3. COption (c)

    DCBA

  4. DOption (d)

    CBAD

View answer & explanation

Correct answer

Answer: (a)A.

CDBA

Why this answer is correct

The correct answer is CDBA

Key Points

  • On reading the sentences carefully we can comprehend that the passage is all about Bonsai an art of cultivating small trees.
  • The first sentence will be C as it tells us about Bonsai and its origin.
  • The second sentence will be D as it gives the proper definition of Bonsai.
  • The third sentence will be B as it tells about the indoor bonsai a part of Bonsai cultivation.
  • The fourth sentence will be A as it is the only remaining sentence in the whole passage.

So the correct passage is- Bonsai is an important part of Japanese culture dating back to the 14th century. It is the art of cultivating small trees within a container that take the shape and scale of full-size trees. The indoor bonsai plants enhance the aesthetic appeal of the space and offer multiple health and psychological benefits. That is why they are considered the best indoor plants to keep at homes and offices.

Question 15

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.

A heavy fine will be inflicted with them if they do not pay the taxes in time.

  1. AOption (a)

    No substitution required

  2. BOption (b)

    will be inflicted for them

  3. COption (c)

    will be inflicted of them

  4. DOption (d)

    will be inflicted on them

View answer & explanation

Correct answer

Answer: (d)D.

will be inflicted on them

Why this answer is correct

The correct answer is will be inflicted on them

Key Points

  • In the given sentence, there is an error of preposition we need to use 'on them' instead of 'with them'.
  • As inflicted on means to force somebody to have something unpleasant or something that he/she does not want किसी को अप्रिय या अनचाही बात मानने के लिए विवश करना, ज़बरदस्‍ती लादना
  • Let's see an example-
  • The suffering inflicted on these children was unimaginable.

Hence the correct sentence is- A heavy fine will be inflicted on them if they do not pay the taxes in time.

Question 16

Select the most appropriate synonym of the given word.

CLEAN

  1. AOption (a)

    talkative

  2. BOption (b)

    tall

  3. COption (c)

    Shy

  4. DOption (d)

    honest

View answer & explanation

Correct answer

Answer: (d)D.

honest

Why this answer is correct

The correct answer is Honest.

Key Points

  • Let's see the meanings of the given words-
  • Clean- having no record of offences or crimes नियमभंग या अपराध के दोष से मुक्त
  • Talkative- liking to talk a lot बातूनी, वाचाल
  • Tall- (used about people or things) of more than average height; not short (व्‍यक्ति या वस्‍तुएँ) औसत से अधिक लंबा, ख़ासा लंबा; छोटा नहीं
  • Shy- nervous and uncomfortable about meeting and speaking to people; showing that somebody feels like this लोगों से मिलने और बात करने में घबराहट और बेचैनी अनुभव करने वाला; संकोची, शरमीला, झेंपू; संकोच दिखाने वाला
  • Honest- (used about a person) telling the truth; not lying to people or stealing (व्‍यक्ति) सत्‍याचरण करने वाला, ईमानदार; चोरी आदि असत्‍याचरण न करने वाला
  • Hence, according to the meanings of the given words, the correct answer is Option 4.

Question 17

Select the INCORRECTLY spelt word.

  1. AOption (a)

    condemnation

  2. BOption (b)

    defamation

  3. COption (c)

    conscentious

  4. DOption (d)

    spurious

View answer & explanation

Correct answer

Answer: (c)C.

conscentious

Why this answer is correct

The incorrect spelling is- conscentious

Key Points

  • The correct spelling of the given incorrect spelled word is- conscientious
  • The meaning of the word is- (used about people) careful to do something correctly and well (व्‍यक्ति) ईमानदार, कर्तव्यनिष्‍ठ
  • The rest of the spellings are correct.

Additional Information

  • The meaning of the other words is-
  • Condemnation- the act of comdemning something; a statement that condemns किसी को दोषी या अपराधी ठहराने की क्रिया; निंदा-प्रस्‍ताव
  • Defamation-  attacking another's reputation by a false publication मानहानि, निंदा
  • Spurious- false, although seeming to be genuine बनावटी यद्यपि देखने में सच्चा लगता हो; अवैध; जाली; नक़ली

Question 18

Select the option that will improve the underlined segment in the given sentence. In case no improvement is needed, select 'No improvement'

According to J Krishnamurti, education is not about having a career but about being able to look, observation and listen.

  1. AOption (a)

    observer

  2. BOption (b)

    observant

  3. COption (c)

    No improvement

  4. DOption (d)

    observe

View answer & explanation

Correct answer

Answer: (d)D.

observe

Why this answer is correct

The correct answer is Observe.

Key Points

  • In the given sentence, the usage of 'observation' is incorrect instead of this we need to use Observe.
  • In the given sentence, an infinitive phrase is used hence, we need to use a verb forms as there is a complete parallelism in the verb forms so we need to follow this completely.
  • The verbs 'look, observe and listen' should be in the parallel forms i.e. why observation is incorrect.

So the correct sentence is- According to J Krishnamurti, education is not about having a career but about being able to look, observe and listen.

Question 19

The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.

She managed the company / so well that it is made / a huge profit that year.

  1. AOption (a)

    so well that it is made

  2. BOption (b)

    No error

  3. COption (c)

    She managed the company

  4. DOption (d)

    a huge profit that year

View answer & explanation

Correct answer

Answer: (a)A.

so well that it is made

Why this answer is correct

The incorrect part is 'So well that it is made'

Key Points

  • The usage of 'is made' is incorrect instead of this we need to use 'made'
  • The given sentence is in the past tense as we can comprehend this from the very first verb of the sentence i.e. 'managed' so we need to use a past form of the verb in the other clause as well. So the correct verb form is 'made'
  • The usage of 'so well that' is absolutely correct as so that is a correlative pair of conjunction that means 'with the purpose that; in order that'

Hence, the correct sentence is- She managed the company so well that it made a huge profit that year.

Question 20

Select the most appropriate meaning of the given idiom.

Poke one’s nose

  1. AOption (a)

    Not be careful about one’s health

  2. BOption (b)

    Interfere or meddle

  3. COption (c)

    Tease or irritate

  4. DOption (d)

    Do unhygienic things

View answer & explanation

Correct answer

Answer: (b)B.

Interfere or meddle

Why this answer is correct

The correct answer is Interfere or meddle

Key Points

  • The meaning of the given idiom 'Poke one's nose' is To involve or insert oneself in an intrusive or nosy manner into something that is not one's business or responsibility.
  • Let's see an example-
  • He is always poking his nose into my affairs.
  • Hence, the correct answer is Option 2.

In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.

According to Harari, a leading thinker, we are all busy (1) ______ a fantasy self online. It is the age of Facebook and Instagram, wherein (2) ______ are busy creating perfect stories about ourselves. For example, pictures (3) ______ perfect holidays never show the stress of traffic snarls and a host of (4) ______ problems faced. We soon begin to believe in this perfect online self to be (5) ______ real one.

Question 21

Based on Passage: View directions & passage

Select the most appropriate option for blank No. 1.

  1. AOption (a)

    creation

  2. BOption (b)

    creating

  3. COption (c)

    creative

  4. DOption (d)

    creates

View answer & explanation

Correct answer

Answer: (b)B.

creating

Why this answer is correct

The correct answer is Creating.

Key Points

  • According to Harari, a leading thinker, we are all busy (1) ______ a fantasy self online.
  • On reading the passage, we can comprehend that the passage is all about online fantasy and creating perfect stories.
  • In the first blank, we need a noun as the sentence says that we are all busy in what? i.e. creating a fantasy 'a fantasy' is an object complement.

Hence, the correct sentence is- According to Harari, a leading thinker, we are all busy creating a fantasy self online.

Question 22

Based on Passage: View directions & passage

Select the most appropriate option for blank No. 2.

  1. AOption (a)

    we

  2. BOption (b)

    us

  3. COption (c)

    each

  4. DOption (d)

    ours

View answer & explanation

Correct answer

Answer: (a)A.

we

Why this answer is correct

The correct answer is We.

Key Points

  • It is the age of Facebook and Instagram, wherein (2) ______ are busy creating perfect stories about ourselves.
  • In the given blank, we need a subject of the sentence because a verb is mentioned which 'are' the subject should be in the plural form.
  • Hence, the correct option is 1 i.e. We.

So the correct sentence is-  It is the age of Facebook and Instagram, wherein we are busy creating perfect stories about ourselves.

Question 23

Based on Passage: View directions & passage

Select the most appropriate option for blank No. 3.

  1. AOption (a)

    from

  2. BOption (b)

    In

  3. COption (c)

    on

  4. DOption (d)

    of

View answer & explanation

Correct answer

Answer: (d)D.

of

Why this answer is correct

The correct answer is of.

Key Points

  • For example, pictures (3) ______ perfect holidays never show the stress of traffic snarls
  • In the given blank, we need a preposition to join a two nouns hence, the correct preposition is 'of' because it means- showing that somebody/something is part of a larger group यह दिखाते हुए कि कोई व्‍यक्ति या वस्‍तु किसी बड़े समूह का अंग है; अंगागि-संबंध का द्योतक

Hence, the correct sentence is- For example, pictures of perfect holidays never show the stress of traffic snarls

Question 24

Based on Passage: View directions & passage

Select the most appropriate option for blank No. 4.

  1. AOption (a)

    another

  2. BOption (b)

    other

  3. COption (c)

    same

  4. DOption (d)

    few

View answer & explanation

Correct answer

Answer: (b)B.

other

Why this answer is correct

The correct answer is 'other'

Key Points

  • never show the stress of traffic snarls and a host of (4) ______ problems faced.
  • In the given blank, we need a determiner. 'Other' means 'in addition to or different from the one or ones that have already been mentioned'
  • Let's see the usages of the other determiners-
  • ​Another- We use 'another' to say one more.
  • Same- two or more things are exactly like one another.
  • Few- when we want to talk about the quantity of something.
  • In the given sentence, the speaker is talking about the problems faced which are in addition to the problems of stress of traffic snarls, etc. Hence, the correct determiner should be 'Other'

So the correct sentence is- never show the stress of traffic snarls and a host of other problems faced.

Question 25

Based on Passage: View directions & passage

Select the most appropriate option for blank No. 5.

  1. AOption (a)

    an

  2. BOption (b)

    one

  3. COption (c)

    a

  4. DOption (d)

    the

View answer & explanation

Correct answer

Answer: (d)D.

the

Why this answer is correct

The correct answer is 'the'

Key Points

  • We soon begin to believe in this perfect online self to be (5) ______ real one.
  • In the given blank, we need a definite article because the problem is known to everyone hence, we need to use a definite article in the given blank. So the correct answer is Option 4.

So the correct sentence is- We soon begin to believe in this perfect online self to be the real one.

General Intelligence (25 questions)

Question 26

Select the number from among the given options that can replace the question mark (?) in the following series.

7, 9, 14, 24, ?, 67

  1. AOption (a)

    41

  2. BOption (b)

    37

  3. COption (c)

    43

  4. DOption (d)

    45

View answer & explanation

Correct answer

Answer: (a)A.

41

Why this answer is correct

The pattern followed here is:

Hence, '41' is the correct answer.

Question 27

The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

  • The image obtained when the paper is unfolded is as shown below:

Hence, "option 1" is the correct answer.

Question 28

Select the correct image of the given figure when the mirror is placed at the right side of the figure.

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (b)B.

Why this answer is correct

The correct mirror image of the given figure when the mirror is held at the right side is:

Hence, "option (2)" is the correct answer.

Additional Information 

In Mirror image left side and right side changed vice-versa where top and bottom remain same.

Reflection of an object into the water is its water image. It appears by inverting an object vertically i.e. upside down.

The water image of the figure looks like the mirror image of the figure in case the mirror is horizontally at the bottom of the figure.

Water image is just a reflection where top and bottom part of the images changed where left and right side of the image remain same.

Question 29

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.

DGKP : BJGU :: HKOT : ?

  1. AOption (a)

    FNKY

  2. BOption (b)

    GJNS

  3. COption (c)

    FMKW

  4. DOption (d)

    JIRP

View answer & explanation

Correct answer

Answer: (a)A.

FNKY

Why this answer is correct

The logic here is,

DGKP : BJGU

Similarly,

HKOT : ?

Hence, "FNKY" is correct answer.

Question 30

If 31 August 2008 was Sunday, then what was the day of the week on 30 August 2012?

  1. AOption (a)

    Wednesday

  2. BOption (b)

    Monday

  3. COption (c)

    Tuesday

  4. DOption (d)

    Thursday

View answer & explanation

Correct answer

Answer: (d)D.

Thursday

Why this answer is correct

Odd days:

A non-leap year has 365 days and a leap year has 366 days.

Non-leap year = 365 days or 52 weeks and 1 day. So, here the number of odd days is 1.

Leap year = 366 days or 52 weeks and 2 days So, here the number of odd days are 2.

Leap year between 2008 to 2012 = 2012

And,

Non leap year between 2008 and 2012 = 2009, 2010 and 2011.

So, total number of odd day between 2000 and 2012 = 3 (Total Non- leap year) + 2 (One leap year) = 5 days = 5 odd day

Code of the dayDay
0Sunday
1Monday
2Tuesday
3Wednesday
4Thursday
5Friday
6Saturday

 If 31 August 2008 was Sunday, then what was the day of the week on 30 August 2012?

31 August 2008 was Sunday

=> Day on 31 August 2012 = Sunday + 5

= Sunday + 5 (odd day) = Friday

Therefore, 31 August 2012 = Friday

Now,

30 August 2012 = 31 August 2012 – 1 day

= Friday – 1day

= Thursday

Hence, 30 August 2012 was “Thursday”.

Question 31

M is the only son of R. P is the sister of Q. X is the father of C, who is the wife of R. Q is the daughter of X's only daughter. How is M related to X?

  1. AOption (a)

    Grandson

  2. BOption (b)

    Nephew

  3. COption (c)

    Brother

  4. DOption (d)

    Son

View answer & explanation

Correct answer

Answer: (a)A.

Grandson

Why this answer is correct

Preparing the family tree using the following symbols,

Given:

  1. M is the only son of R.

  2. X is the father of C, who is the wife of R.

  1. Q is the daughter of X's only daughter.

  2. P is the sister of Q.

Hence, the M is the "Grandson" of X.

Question 32

Select the option in which the numbers are related in the same way as are the numbers of the following set.

(11, 5, 246)

  1. AOption (a)

    (10, 7, 355)

  2. BOption (b)

    (16, 9, 331)

  3. COption (c)

    (14, 6, 412)

  4. DOption (d)

    (12, 9, 224)

View answer & explanation

Correct answer

Answer: (c)C.

(14, 6, 412)

Why this answer is correct

The Logic here is as follows:

(1st Number)2 + (2nd number)3 = 3rd Number

In (11, 5, 246)

(1st Number)2 + (2nd number)3

= 112 + 53

= 121 + 125

= 246 = 3rd Number

Now check the all options,

Option (1) (10, 7, 355)

(1st Number)2 + (2nd number)3

= 102 + 73

= 100 + 343

= 443 ≠ 3rd Number

Option (2) (16, 9, 331)

(1st Number)2 + (2nd number)3

= 162 + 93

= 256 + 729

= 985 ≠ 3rd Number

Option (3) (14, 6, 412)

(1st Number)2 + (2nd number)3

**= **142 + 63

= 196 + 216

**= 412 = **3rd Number

Option (4) (12, 9, 224)

(1st Number)2 + (2nd number)3

= 122 + 93

= 144 + 729

= 873 ≠ 3rd Number

Hence, the correct answer is "(14, 6, 412)".

Question 33

Select the Venn diagram that best represents the relationship between the following classes.

Kings, Queens, Mothers

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

The Venn diagrams best represent the relationship between - Kings, Queens, Mothers figures are shown below:

No king is mother or queen, but some queens are mothers.

Hence, ‘option 1’ is the correct answer.

Question 34

Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is related to the sixth number.

12 : 146 :: ? : 443 :: 16 : 258

  1. AOption (a)

    23

  2. BOption (b)

    20

  3. COption (c)

    19

  4. DOption (d)

    21

View answer & explanation

Correct answer

Answer: (d)D.

21

Why this answer is correct

The pattern followed here is:

√(2nd number – 2) = 1st number

Now follow the steps:

12 : 146

√(2nd number – 2)

= √(146 – 2)

= √144

= 12 = 1st number

And,

16 : 258

√(2nd number – 2)

= √(258 – 2)

= √256

= 16 = 1st number

Similarly,

? : 443

√(2nd number – 2)

= √(443 – 2)

= √441

= 21 = 1st number

Hence, "21" is correct answer.

Question 35

Which two signs should be interchanged to make the following equation correct?

10 –15 × 9 ÷ 6 + 8 = 8

  1. AOption (a)

    – and ÷

  2. BOption (b)
    • and ÷
  3. COption (c)

    × and −

  4. DOption (d)
    • and ×
View answer & explanation

Correct answer

Answer: (a)A.

– and ÷

Why this answer is correct

According to the BODMAS rule:

 

 

Option 1 : – and ÷

Given:

10 –15 × 9 ÷ 6 + 8 = 8

After interchange the signs;

10 ÷15 × 9 - 6 + 8 = 8

By BODMAS rule

0.67 × 9 - 6 + 8 = 8

6 - 6 + 8 = 8

14 - 6 = 8

**8 = 8 **(LHS = RHS)

Option 2 : + and ÷

Given: 10 –15 × 9 ÷ 6 + 8 = 8

After interchange the signs;

10 –15 × 9 + 6 ÷ 8 = 8

By BODMAS rule

10 –15 × 9 + 0.75 = 8

10 –135 + 0.75 = 8

10.75 –135 = 8

-124.25 = 8 (LHS ≠ RHS)

Option 3: × and −

**Given:**10 –15 × 9 ÷ 6 + 8 = 8

After interchange the signs;

10 ×15 - 9 ÷ 6 + 8 = 8

By BODMAS rule

10 ×15 – 1.5 + 8 = 8

150 – 1.5 + 8 = 8

158 – 1.5 = 8

156.5 = 8 (LHS ≠ RHS)

Option 4: + and ×

Given: 10 –15 × 9 ÷ 6 + 8 = 8

After interchange the signs;

10 –15 + 9 ÷ 6 × 8 = 8

By BODMAS rule

10 –15 + 1.5 × 8 = 8

10 –15 + 12 = 8

22 –15 = 8

7 = 8 (LHS ≠ RHS)

Hence, the answer is “– and ÷”.

Question 36

‘Craniology’ is related to ‘Skull’ and ‘Oology’ is related to ‘Eggs’ in the same way as ‘Pedology’ is related to _____.

  1. AOption (a)

    Artifacts

  2. BOption (b)

    Fossils

  3. COption (c)

    Shells

  4. DOption (d)

    Soil

View answer & explanation

Correct answer

Answer: (d)D.

Soil

Why this answer is correct

The logic followed here is:

Given:

‘Craniology’ is related to ‘Skull’ → Craniology is the science that study of skull.

And,

‘Oology’ is related to ‘Eggs’ → Oology is the science that study of eggs.

Similarly,

‘Pedology’ is related to ‘Soil’.→ Pedology is the science that study of soil.

Hence, ‘Soil’ is the correct answer.

Question 37

How many triangles are there in the given figure?

  1. AOption (a)

    17

  2. BOption (b)

    15

  3. COption (c)

    18

  4. DOption (d)

    16

View answer & explanation

Correct answer

Answer: (a)A.

17

Why this answer is correct

The number of triangles in the given figure is:

So, there are a total of 17 triangles in the figure.

Hence, ‘17’ is the correct answer.

Question 38

Select the correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary.

  1. Pleasant
  2. Placard
  3. Plentiful
  4. Pleased
  5. Plight
  1. AOption (a)

    4, 1, 2, 3, 5

  2. BOption (b)

    1, 2, 4, 3, 5

  3. COption (c)

    2, 1, 4, 5, 3

  4. DOption (d)

    2, 1, 4, 3, 5

View answer & explanation

Correct answer

Answer: (d)D.

2, 1, 4, 3, 5

Why this answer is correct

According to the sequence in the dictionary:

The correct order of the given words is:

  1. Placard
  2. Pleasant
  3. Pleased
  4. Plentiful
  5. Plight

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

Question 39

Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the one that is different.

  1. AOption (a)

    9 : 90

  2. BOption (b)

    7 : 56

  3. COption (c)

    5 : 30

  4. DOption (d)

    8 : 66

View answer & explanation

Correct answer

Answer: (d)D.

8 : 66

Why this answer is correct

The logic is here is:

1st number × (1st number  + 1) = 2nd number.

Option (1): 9 : 90

Now, follow the logic:

9 × (9 + 1) = 9 × 10 = 90 = 2nd number

This option follows the pattern.

Option (2): 7 : 56

7 × (7 + 1) = 7 × 8 = 56 = 2nd number

This option follows the pattern.

Option (3): 5 : 30

5 × (5 + 1) = 5 × 6 = 30 = 2nd number

This option follows the pattern.

Option (4): 8 : 66

Now, follow the logic:

8 × (8 + 1) = 8 × 9 = 72 ≠ 2nd number

This option do not follow the pattern.

Hence, pair “8 : 66” is an odd one.

Alternate MethodThe logic followed here is:

Square of 1st number + 1st number = second number

Option 1 → 9 : 90 → 92 + 9 = 90

Option 2 → 7 : 56 → 72 + 7 = 56

Option 3 → 5 : 30 → 52 + 5 = 30

Option 4 → 8 : 66 → 82 + 8 = 72 ≠ 66

Hence, the correct answer is "Option 4".

Question 40

Two different position of the same dice are shown. Select the number that will be on the face opposite to the one having 4.

  1. AOption (a)

    5

  2. BOption (b)

    1

  3. COption (c)

    3

  4. DOption (d)

    2

View answer & explanation

Correct answer

Answer: (c)C.

3

Why this answer is correct

For this question, the relation is given below -

Logic: If two dice have the same two face value in the given image then the third number is opposite to each other.

In first dice and second dice.

Number 6 and 5 is common.

So, number 3 is opposite to 4.

Hence, the correct answer is “3”

Question 41

Select the option in which the given figure is embedded (rotation is NOT allowed).

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (d)D.

Why this answer is correct

The embedded part of this image is:

Hence, option (4) is the correct answer.

Question 42

Four words have been given, out of which three are alike in some manner and one is different. Select the word that is different.

  1. AOption (a)

    Cucumber

  2. BOption (b)

    Pumpkin

  3. COption (c)

    Potato

  4. DOption (d)

    Bean

View answer & explanation

Correct answer

Answer: (c)C.

Potato

Why this answer is correct

The logic followed here is:

Option 1) Cucumber → Cucumber grow above the earth surface.

Option 2) Pumpkin → Pumpkin grow above the earth surface.

Option 3) Potato → Potatoes grow underground on the earth surface.

Option 4) Bean → Beans grow above the earth surface.

All vegetables are grow above the earth surface expect potato.

Hence, “Potato” is an odd one.

Question 43

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

Some teachers are graduates.

Some graduates are females.

All females are women.

Conclusions:

I. Some females are teachers.

II. Some women are teachers.

III. All women are females.

  1. AOption (a)

    None of the conclusions follow.

  2. BOption (b)

    Only conclusion I follows.

  3. COption (c)

    Only conclusions II and III follow.

  4. DOption (d)

    Only conclusion II follows.

View answer & explanation

Correct answer

Answer: (a)A.

None of the conclusions follow.

Why this answer is correct

Statements:

Some teachers are graduates.

Some graduates are females.

All females are women.

The least possible diagram for the given statements is as follows

Conclusions:

I. Some females are teachers → False (There is no direct relation given between females and teachers so it can be possible but not definite)

II. Some women are teachers → False (There is no direct relation given between women and teachers so it can be possible but not definite)

III. All women are females → False (because all females are women but all women are also females it is not definite)

Hence, “None of the conclusions follow”.

Question 44

In a certain code language, CHECK is written as 6165622 and SURGE is written as 382136145. How will PRIEST be written as in that language?

  1. AOption (a)

    1618953840

  2. BOption (b)

    3236953840

  3. COption (c)

    3436953640

  4. DOption (d)

    3236185384

View answer & explanation

Correct answer

Answer: (b)B.

3236953840

Why this answer is correct

The table is alphabets place value:

The pattern followed here is:

Step 1: Consonants place value × 2 = number.

Step 2: Vowels place value coded as a number.

'CHECK' is written as 6165622.

And,

SURGE is written as 382136145.

Similarly,

PRIEST = ?

Hence, 'PRIEST' is coded as "3236953840".

Question 45

Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.

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

  1. AOption (a)

    d a c c d

  2. BOption (b)

    a c d c a

  3. COption (c)

    c c d a d

  4. DOption (d)

    d c c d d

View answer & explanation

Correct answer

Answer: (d)D.

d c c d d

Why this answer is correct

Given :- a c _ d a _ d d a _ _ d a c _ d

By checking options and substituting accordingly.

1) d a c c d → a c d d / a a d d / a c c d / a c d d

2) a c d c a   a c a d / a c d d / a d c d / a c a d

3) c c d a d → a c c d / a c d d / a d a d / a c d d

4) d c c d d → a c d d / a c d d / a c d d / a c d d

  • Option (4) gives a pattern of a c d d - a c d d - a c d d - a c d d.

Hence, ‘d c c d d’ is the correct answer.

Question 46

Select the option in which the words share the same relationship as that shared by the given pair of words.

Rooster : Hen

  1. AOption (a)

    Stallion : Mare

  2. BOption (b)

    Cat : Kitten

  3. COption (c)

    Owner : Landlord

  4. DOption (d)

    Frog : Tadpole

View answer & explanation

Correct answer

Answer: (a)A.

Stallion : Mare

Why this answer is correct

The logic followed here is:

Rooster : Hen → A rooster is a male chicken and a hen is a female chicken.

Similarly,

Stallion : Mare → A stallion is a male horse and mare is a female horse.

Hence, ‘Stallion : Mare ’ is the correct answer.

Question 47

In a certain code language, HIGHER is written as JIIHSF. How will CODING be written in that language?

  1. AOption (a)

    PDJEHO

  2. BOption (b)

    OHJEPD

  3. COption (c)

    FOHEND

  4. DOption (d)

    PDEJOK

View answer & explanation

Correct answer

Answer: (a)A.

PDJEHO

Why this answer is correct

The table is alphabets place value:

The pattern followed here is:

HIGHER is written as JIIHSF

Similarly,

Hence, 'CODING' is coded as "PDJEHO".

Question 48

Select the option in which the numbers are related in the same way as are the numbers of the following set.

{6, 15, 27}

  1. AOption (a)

    {14, 38, 57}

  2. BOption (b)

    {4, 10, 18}

  3. COption (c)

    {12, 32, 54}

  4. DOption (d)

    {8, 24, 34}

View answer & explanation

Correct answer

Answer: (b)B.

{4, 10, 18}

Why this answer is correct

The Logic here is as follows:

(2nd number × 2) - (1st Number ÷ 2) = 3rd Number

In {6, 15, 27}

(2nd number × 2) - (1st Number ÷ 2)

= (15 × 2) - (6 ÷ 2)

= 30 - 3

= 27 = 3rd Number

Now check the all options,

Option (1) {14, 38, 57}

(2nd number × 2) - (1st Number ÷ 2)

= (38 × 2) - (14 ÷ 2)

= 76 - 7

= 69 ≠ 3rd Number

Option (2) {4, 10, 18}

(2nd number × 2) - (1st Number ÷ 2)

= (10 × 2) - (4 ÷ 2)

= 20 - 2

= 18 = 3rd Number

Option (3) {12, 32, 54}

(2nd number × 2) - (1st Number ÷ 2)

= (32 × 2) - (12 ÷ 2)

= 64 - 6

= 58 ≠ 3rd Number

Option (4) {8, 24, 34}

(2nd number × 2) - (1st Number ÷ 2)

= (24 × 2) - (8 ÷ 2)

= 48 - 4

= 44 ≠ 3rd Number

Hence, the correct answer is "{4, 10, 18}".

Question 49

Select the figure from among the given options that can replace the question mark (?) in the following series.

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (d)D.

Why this answer is correct

The figure that will replace the question mark (?) in the following figure series is shown below:

  1. Upper left side small figure transfer lower right side in each next figure.

2) Upper right side small figure transfer upper left side in each next figure.

  1. Middle figure transfer upper right side in each next figure.

  2. Lower right side figure transfer to the middle in each next figure.

  3. Lower left side figure to rotate 90° anti-clockwise at own position and alternate 'front and back' side of arrow become dark.

 

Hence, ‘option 4’ is the correct answer.

Question 50

Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the odd one.

  1. AOption (a)

    QUZF

  2. BOption (b)

    NRWC

  3. COption (c)

    LPTA

  4. DOption (d)

    CGLR

View answer & explanation

Correct answer

Answer: (c)C.

LPTA

Why this answer is correct

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'LPTA’.

Hence, “LPTA” is the odd one.

Quantitative Aptitude (25 questions)

Question 51

A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is 39 m, then what will be the perimeter of the square park?

  1. AOption (a)

    78 m

  2. BOption (b)

    52 m

  3. COption (c)

    39 m

  4. DOption (d)

    104 m

View answer & explanation

Correct answer

Answer: (b)B.

52 m

Why this answer is correct

Given:

A square park has been divided into two rectangles of equal area.

The perimeter of each of these rectangles = 39 m

Formula used:

Area of square = side2

Perimeter of rectangle = 2(L + B)

Perimeter of square = 4a

Area of rectangle = L × B

Calculation:

  

  Let side of the square be 'a'

According to the given statement,

(Sum of the perimeters of both rectangles) - 2a = perimeter of the square

⇒ 39 + 39 - 2a = 4a

⇒ 78 = 6a

⇒ a = 13

Now, perimeter of the square = 4 × 13 = 52

∴ The required perimeter of the square is 52 m

Question 52

If (40√5x3 - 2√2y3) ÷ (2√5x - √2y) = Ax2 + By2 - Cxy, then find the value of A + 3B - √10C.

  1. AOption (a)

    28

  2. BOption (b)

    6

  3. COption (c)

    46

  4. DOption (d)

    34

View answer & explanation

Correct answer

Answer: (c)C.

46

Why this answer is correct

Given:

(40√5x3 – 2√2y3) ÷ (2√5x – √2y) = Ax2 + By2 – Cxy

Formula used:

a3 – b3 = (a – b)(a2 + b2 + ab)

Calculation:

(40√5x3 – 2√2y3) = [(2√5x – √2y)(2√5x)2 + (√2y)2 + 2√5 × √2]/(2√5x – √2y)

⇒ (2√5x)2 + (√2y)2 + 2√5 × √2

⇒ 20x2 + 2y2 + 2√10xy 

Now,

Comparing the value, we get

A = 20, B = 2 and C = -2√10

Now,

The value of A + 3B – √10C = (20 + 3 × 2 + 2√10 × √10)

⇒ (20 + 6 + 20)

⇒ 46

∴ The required value is 46

Question 53

A can complete a task in 6 days, while B can complete the same task in 12 days. How many days will they take to complete the same task if they work together?

  1. AOption (a)

    3

  2. BOption (b)

    5

  3. COption (c)

    4124\frac{1}{2}

  4. DOption (d)

    4

View answer & explanation

Correct answer

Answer: (d)D.

4

Why this answer is correct

Given:

Time taken by A to complete the work =  6 days

Time taken by B to complete the work = 12 days

Formula used:

Work = Efficiency × Time

Calculation:

LCM of 6 and 12 is 12

Efficiency of A = (12/6) = 2 units/days

Efficiency of B = (12/12) = 1 unit/day

Time taken by A and B both to complete the same task together = [12(2 + 1)] days

⇒ 12/3 days

⇒ 4 days

∴ The required time is 4 days

Question 54

Suresh purchased a computer table for Rs. 9,000 and a centre table for Rs. 4,000. He sold the computer table with 8% profit. With what profit percentage should he sell the centre table so as to gain 10% on the whole transaction?

  1. AOption (a)

    12

  2. BOption (b)

    15

  3. COption (c)

    14

  4. DOption (d)

    14.5

View answer & explanation

Correct answer

Answer: (d)D.

14.5

Why this answer is correct

Given:

Cost price of computer table = Rs. 9,000

Cost price of centre table = Rs. 4,000

Profit% for computer table = 8%

Formula used:

Profit = SP – CP

Profit% = Profit/CP × 100

Calculation:

Selling price of Computer table = Rs. (9,000 × 108/100)

⇒ Rs. 9,720

Total cost price of computer table and centre table = Rs. (9,000 + 4,000) = Rs. 13,000

Selling price of a computer table and centre table = Rs. (13,000 × 110/100)

⇒ Rs. 14,300

Selling price of centre table = Rs. (14,300 – 9,720) = Rs. 4,580

Profit of centre table = Rs. (4,580 – 4,000) = Rs. 580

Profit% of centre table = (580/4000 × 100)

⇒ 14.5%

∴ The required profit% is 14.5

Question 55

Study the given bar graph and answer the question that follows.

The bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over the years 2015 to 2019.

The percentage rise in the production of sugar by company Q as compares to the previous year is maximum in the year:

  1. AOption (a)

    2016

  2. BOption (b)

    2017

  3. COption (c)

    2019

  4. DOption (d)

    2018

View answer & explanation

Correct answer

Answer: (a)A.

2016

Why this answer is correct

Calculation:

The production of sugar by company Q in 2015 = 60

The production of sugar by company Q in 2016 = 75

The percentage rise in the production of sugar in 2016 by company Q as compares to the previous year 2015 = [(75 – 60)/60 × 100] 

⇒ (15/60 × 100) = 25%

Now,

The production of sugar by company Q in 2016 = 75

The production of sugar by company Q in 2017 = 90

​The percentage rise in the production of sugar in 2017 by company Q as compares to the previous year 2016 = [(90 – 75)/75 × 100]

⇒ (15/75 × 100) = 20%

Now,

The production of sugar by company Q in 2017 = 90

The production of sugar by company Q in 2018 = 100

​The percentage rise in the production of sugar in 2018 by company Q as compares to the previous year 2017 = [(100 – 90)/90 × 100]

⇒ (10/90 × 100) = 11.11%

Now,

The production of sugar by company Q in 2018 = 100

The production of sugar by company Q in 2019 = 115

​The percentage rise in the production of sugar in 2019 by company Q as compares to the previous year 2018 = [(115 – 100)/100 × 100]

⇒ (15/100 × 100) = 15%

∴ The percentage rise in the production of sugar by company Q as compares to the previous year is maximum in the year 2016

Question 56

The average pass percentage of girls in class X examination in a school is 85% and that of boys is 83%. The average pass percentage of all boys and girls in class X of that school is 83.7%. Find the percentage of the number of girls in class X of that school.

  1. AOption (a)

    35%

  2. BOption (b)

    40%

  3. COption (c)

    30%

  4. DOption (d)

    45%

View answer & explanation

Correct answer

Answer: (a)A.

35%

Why this answer is correct

Given:

Average pass percentage of girls in class X = 85%

Average pass percentage of boys in class X = 83%

Average pass percentage of girls and boys in class X = 83.7%

Formula used:

Average = sum of observations/Number of observations

Calculation:

Let the number of girls and boys be x and y respectively

According to the question

⇒ 85x + 83y = 83.7(x + y)

⇒ 85x + 83y = 83.7x + 83.7y

⇒ (85x – 83.7x) = (83.7y – 83y)

⇒ 1.3x = 0.7y

⇒ x/y = 7/13

Now,

The percentage of the number of girls in class X of that school = (7/20 × 100)%

⇒ 35%

∴ The percentage of the number of girls in class X of that school is 35%

Question 57

If 5 cos θ = 4 sin θ, 0° ≤ θ ≤ 90°, then what will be the value of sec θ?

  1. AOption (a)

    4116\frac{\sqrt{41}}{16}

  2. BOption (b)

    414\frac{\sqrt{41}}{4}

  3. COption (c)

    35\frac{3}{5}

  4. DOption (d)

    415\frac{\sqrt{41}}{5}

View answer & explanation

Correct answer

Answer: (b)B.

414\frac{\sqrt{41}}{4}

Why this answer is correct

Shortcut Trick

Given: 5 cos θ = 4 sin θ ⇒ tan θ = 5/4.

For a right-angled triangle, if Perpendicular = 5 and Base = 4, then Hypotenuse = √(52 + 42) = √41.

Since sec θ = Hypotenuse / Base, we get sec θ = √41 / 4.

∴ The correct answer is √41 / 4.

Alternate Method

Given: 5 cos θ = 4 sin θ and 0° ≤ θ ≤ 90°.

Formula Used: tan θ = sin θ / cos θ and sec2θ = 1 + tan2θ.

⇒ 5 cos θ = 4 sin θ

⇒ sin θ / cos θ = 5 / 4

⇒ tan θ = 5 / 4

⇒ sec2θ = 1 + (5 / 4)2

⇒ sec2θ = 1 + 25 / 16

⇒ sec2θ = (16 + 25) / 16 = 41 / 16

⇒ sec θ = √(41 / 16) = √41 / 4

∴ The correct answer is √41 / 4.

Additional Information

Trigonometric Identities

Fundamental relations: sin2θ + cos2θ = 1, 1 + tan2θ = sec2θ, and 1 + cot2θ = cosec2θ.

Right Triangle Ratios

sec θ is the reciprocal of cos θ. In a right triangle, sec θ = Hypotenuse / Base.

Pythagoras Theorem

In a right-angled triangle, Hypotenuse2 = Perpendicular2 + Base2.

Question 58

AB is 12 cm long chord of a circle with centre O and radius 10 cm. The tangents at A and B intersect at P. What is the length of OP?

  1. AOption (a)

    12 cm

  2. BOption (b)

    10 cm

  3. COption (c)

    12.5 cm

  4. DOption (d)

    2√61 cm

View answer & explanation

Correct answer

Answer: (c)C.

12.5 cm

Why this answer is correct

Given:

AB = 12 cm

Radius = 10 cm

The tangents at A and B intersect at P.

Concept used:

AAA similarity: If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.

Calculation:

  

AB is the chord of the circle with centre O

Now,

OP ⊥ AB

So, OP bisects AB

AL = BL = 6 cm

Also,

OL = √(OA)2 – (AL)2

⇒ OL = √(10)2 – (6)2

⇒ OL = √100 – 36

⇒ OL = √64

⇒ OL = 8 cm

Now,

In ΔOAP and ΔOLA

∠OAP = ∠OLA

OA = OB = 10 cm (Radius)

OL = OL [Common]

So, ΔOAP ~ ΔOLA 

⇒ OP/OA = OA/OL [Corresponding sides are proportional]

⇒ OP/10 = 10/8

⇒ 8 OP = 100

⇒ OP = (100/8) cm

⇒ OP = 12.5 cm

∴ The length of OP is 12.5 cm

Question 59

Ramesh saves 2623%26\frac{2}{3}\% of his monthly salary. When his expenses are increased by 20%, he is able to save Rs. 4,080 per month. His monthly salary is:

  1. AOption (a)

    Rs. 30,000

  2. BOption (b)

    Rs. 35,000

  3. COption (c)

    Rs. 34,000

  4. DOption (d)

    Rs. 38,000

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 34,000

Why this answer is correct

Given:

Salary saves = 2623%26\frac{2}{3}\% = 80/3

Expenses increases = 20%

Saving after increase in expenses = Rs. 4,080

Calculation:

Let the salary be Rs. 100

Saving = Rs. 80/3

Expenditure = Rs. (100 – 80/3)

⇒ Rs. (300 – 80)/3 = Rs. 220/3

New expenditure = Rs. (120% of 220/3)

⇒ Rs. (120/100 × 220/3)

⇒ Rs. (4 × 22)

⇒ Rs. 88

New saving = Rs. (100 – 88) = Rs. 12

Now,

⇒ 12% = 4,080

⇒ 12/100 = 4,080

⇒ (4,080 × 100)/12

⇒ Rs. (340 × 100)

⇒ Rs. 34,000

∴ The required monthly salary is Rs. 34,000

Question 60

A shopkeeper offers successive discounts of 35%, 10% and 6% on every item. At what price (nearest to a rupee) customers can get an item marked for Rs. 1,000?

  1. AOption (a)

    Rs. 645

  2. BOption (b)

    Rs. 450

  3. COption (c)

    Rs. 550

  4. DOption (d)

    Rs. 562

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 550

Why this answer is correct

Shortcut Trick

Use the Effective Multiplying Factor for successive discounts.

Final price = 1000 × 0.65 × 0.90 × 0.94

⇒ 650 × 0.90 × 0.94 = 585 × 0.94

⇒ 549.9 ≈ Rs. 550

∴ The correct answer is Rs. 550.

Alternate Method

Given:

Marked Price (MP) = Rs. 1,000

Successive Discount Rates = 35%, 10%, and 6%

Formula Used:

Selling Price (SP) = MP × (100 − d1)/100 × (100 − d2)/100 × (100 − d3)/100

Calculations:

⇒ Price after 35% discount = 1000 − (35% of 1000) = 1000 − 350 = Rs. 650

⇒ Price after 10% discount = 650 − (10% of 650) = 650 − 65 = Rs. 585

⇒ Price after 6% discount = 585 − (6% of 585)

⇒ 6% of 585 = 5.85 × 6 = 35.10

⇒ Final Selling Price = 585 − 35.10 = Rs. 549.90

⇒ Nearest to a rupee = Rs. 550

∴ The correct answer is Rs. 550.

Additional Information

Single Equivalent Discount

For two successive discounts x% and y%, the single equivalent discount is (x + y − xy/100)%.

Marked Price and Selling Price Relation

Selling Price = Marked Price × (100 − Discount%)/100. Always apply discounts on the Marked Price (MP).

Successive Percentage Change

Final Value = Initial Value × (1 ± r1/100) × (1 ± r2/100) × ... × (1 ± rn/100), where r is the rate of change.

Question 61

Simplify the following expression.

52+1170÷26+13×22+118:of:2−114\frac{52+1170 \div 26 + 13 \times 2}{2+1\frac{1}{8}:of:2-1\frac{1}{4}}

  1. AOption (a)

    611261\frac{1}{2}

  2. BOption (b)

    371337\frac{1}{3}

  3. COption (c)

    41

  4. DOption (d)

    245624\frac{5}{6}

View answer & explanation

Correct answer

Answer: (c)C.

41

Why this answer is correct

Concept Used:        

Follow the BODMAS rule according to the table given below:

Calculation:

52+1170÷26+13×22+118:of:2−114\frac{52+1170 ÷ 26 + 13 × 2}{2+1\frac{1}{8}:of:2-1\frac{1}{4}}

⇒ (52 + 1170 ÷ 26 + 13 × 2)/(2 + 9/8 of 2 – 5/4)

⇒ (52 + 1170 ÷ 26 + 13 × 2)/(2 + 9/4 – 5/4)

⇒ (52 + 45 + 13 × 2)/(2 + 9/4 – 5/4)

⇒ (52 + 45 + 26)/(2 + 9/4 – 5/4)

⇒ 123/(2 + 9/4 – 5/4)

⇒ 123/(8 + 9 – 5)/4

⇒ 123/(12/4)

⇒ 123/3

⇒ 41

∴ The required value is 41

Question 62

If x4+1x4=1154,x>0,x^4+\frac{1}{x^4}=1154,x>0,, then what will be the value of x+1x?x+\frac{1}{x}?

  1. AOption (a)

    √34

  2. BOption (b)

    √32

  3. COption (c)

    18

  4. DOption (d)

    6

View answer & explanation

Correct answer

Answer: (d)D.

6

Why this answer is correct

Given:

x4+1x4=1154,x>0,x^4+\frac{1}{x^4}=1154,x>0,

Formula used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

x4+1x4=1154,x>0,x^4+\frac{1}{x^4}=1154,x>0,

Adding 2 both sides, we get

⇒ (x4 + 1/x4) + 2 = 1154 + 2

⇒ (x2 + 1/x2)2 = 1156

⇒ (x2 + 1/x2) = 34

Now,

Again adding 2 both sides, we get

⇒ (x2 + 1/x2) + 2 = 34 + 2

⇒ (x + 1/x)2 = 36

⇒ (x + 1/x) = 6

∴ The required value is 6

Question 63

If x + y = 27 and x2 + y2 = 425, then the value of (x - y)2 will be:

  1. AOption (a)

    225

  2. BOption (b)

    144

  3. COption (c)

    121

  4. DOption (d)

    169

View answer & explanation

Correct answer

Answer: (c)C.

121

Why this answer is correct

Given:

x + y = 27

x2 + y2 = 425

Formula used:

(x + y)2 = x2 + y2 + 2xy

(x – y)2 = x2 + y2 – 2xy

Calculation:

(x + y)2 = x2 + y2 + 2xy

⇒ (27)2 = 425 + 2xy

⇒ 729 = 425 + 2xy

⇒ 2xy = 729 – 425

⇒ 2xy = 304

Now,

(x – y)2 = x2 + y2 – 2xy

⇒ (x – y)2 = 425 – 304

⇒ (x – y)2 = 121

∴ The required value of (x – y)2 is 121

Question 64

A circle is inscribed in a right-angled triangle. The lengths of the two sides containing the right angle are 15 cm and 8 cm. What is the radius of the in-circle?

  1. AOption (a)

    4 cm

  2. BOption (b)

    3 cm

  3. COption (c)

    4.5 cm

  4. DOption (d)

    3.75 cm

View answer & explanation

Correct answer

Answer: (b)B.

3 cm

Why this answer is correct

Given:

The lengths of the two sides containing the right angle are 15 cm and 8 cm

Formula used:

H2 = P2 + B2

The radius of in-circle = (P + B – H)/2

Calculation:

Let the length of the two sides AB and BC be 15 cm and 8 cm respectively

H2 = P2 + B2

⇒ H2 = (15)2 + (8)2

⇒ H2 = 225 + 64 = 289

⇒ H = 17 cm

Now,

The radius of in-circle = (P + B – H)/2

⇒ (15 + 8 – 17)/2

⇒ (23 – 17)/2

⇒ 6/2

⇒ 3 cm

∴ The required value is 3 cm

Question 65

The number of students enrolled in different streams at Senior Secondary level in five schools is shown in the bar graph.

In which school is the number of students the least?

  1. AOption (a)

    C

  2. BOption (b)

    E

  3. COption (c)

    A

  4. DOption (d)

    D

View answer & explanation

Correct answer

Answer: (a)A.

C

Why this answer is correct

Calculation:

The total number of students in school A = (60 + 70 + 50) = 180

The total number of students in school B = (78 + 82 + 40) = 200

The total number of students in school C = (45 + 40 + 35) = 120

The total number of students in school D = (40 + 45 + 40) = 125

The total number of students in school E = (40 + 35 + 50) = 125

∴ The number of least students in the school C

Question 66

If two numbers are in the ratio 4 : 7 and the sum of their cubes is 407,000, then the greater number will be:

  1. AOption (a)

    63

  2. BOption (b)

    70

  3. COption (c)

    84

  4. DOption (d)

    77

View answer & explanation

Correct answer

Answer: (b)B.

70

Why this answer is correct

Given:

The ratio of two numbers = 4 : 7

The sum of their cubes = 407,000

Calculation:

Let the cube of the numbers be 4x and 7x respectively

According to the question

⇒ (4x)3 + (7x)3 = 407,000

⇒ 64x3 + 343x3 = 407,000

⇒ 407x3 = 407,000

⇒ x3 = 407,000/407

⇒ x3 = 1000

⇒ x = 10

Now,

The greater number is 7x = (7 × 10) = 70

∴ The required greater number is 70

Question 67

If cosec2θcosec2θ−cot⁡2θ=134,0∘<θ<90∘\frac{cosec^2 \theta}{cosec^2 \theta - \cot^2 \theta}=\frac{13}{4},0^{\circ}<\theta<90^{\circ}, then the value of 52cos⁡2θ−9tan⁡2θ18sec⁡2θ+8cot⁡2θ\frac{52 \cos^2 \theta-9 \tan^2 \theta}{18 \sec^2 \theta + 8 \cot^2 \theta} will be:

  1. AOption (a)

    511\frac{5}{11}

  2. BOption (b)

    411\frac{4}{11}

  3. COption (c)

    813\frac{8}{13}

  4. DOption (d)

    811\frac{8}{11}

View answer & explanation

Correct answer

Answer: (d)D.

811\frac{8}{11}

Why this answer is correct

Given:

cosec2θcosec2θ−cot⁡2θ=134,0∘<θ<90∘\frac{cosec^2 θ}{cosec^2 θ - \cot^2 θ}=\frac{13}{4},0^{\circ}<θ<90^{\circ}

Formula used:

cosec2θ = 1/sin2θ 

cot2θ = cos2θ/sin2θ 

1 – cos2θ = sin2θ 

B2 = H2 – P2

Calculation:

cosec2θcosec2θ−cot⁡2θ=134,0∘<θ<90∘\frac{cosec^2 θ}{cosec^2 θ - \cot^2 θ}=\frac{13}{4},0^{\circ}<θ<90^{\circ}

⇒ 1/sin2θ/1/sin2θ – cos2θ/sin2θ = 13/4

⇒ 1/sin2θ/(1 – cos2θ)/sin2θ  = 13/4

⇒ 1/sin2θ/sin2θ/sin2θ = 13/4

⇒ 1/sin2θ = 13/4

⇒ sinθ = 2/√13 = P/H

Now,

B2 = H2 – P2

⇒ B2 = (√13)2 – (2)2

⇒ B2 = (13 – 4) = 9

⇒ B = 3

Now,

cosθ = B/H = 3/√13

tanθ = P/B = 2/3

secθ = H/B = √13/3

cotθ = B/P = 3/2

Now,

The value of 52cos⁡2θ−9tan⁡2θ18sec⁡2θ+8cot⁡2θ\frac{52 \cos^2 \theta-9 \tan^2 \theta}{18 \sec^2 \theta + 8 \cot^2 \theta}

⇒ 52 × (3/√13)2 – 9 × (2/3)2/18 × (√13/3)2 + 8 × (3/2)2

⇒ (52 × 9/13 – 9 × 4/9)/(18 × 13/9 + 8 × 9/4)

⇒ (36 – 4)/(26 + 18)

⇒ 32/44

⇒ 8/11

∴ The required value is 8/11

Question 68

The number of students enrolled in different streams at Senior Secondary level in five schools has been shown in the bar graph.

What percentage of the total number of students in all the streams taken together in all the five schools to the number of students enrolled in the science stream in school A?

  1. AOption (a)

    6

  2. BOption (b)

    7.5

  3. COption (c)

    8.57

  4. DOption (d)

    8

View answer & explanation

Correct answer

Answer: (d)D.

8

Why this answer is correct

Calculation:

The number of students enrolled in the science stream in school A = 60

Total number of students in school A = (60 + 70 + 50) = 180

Total number of students in school B = (78 + 82 + 40) = 200

Total number of students in school C = (45 + 40 + 35) = 120

Total number of students in school D = (40 + 45 + 40) = 125

Total number of students in school E = (40 + 35 + 50) = 125

Now,

The total number of students in all the streams taken together in all the five schools = (180 + 200 + 120 + 125 + 125) = 750

The percentage of the total number of students in all the streams taken together in all the five schools is the number of students enrolled in the science stream in school A = (60/750 × 100)

⇒ 8%

∴ The required percentage is 8%

Question 69

If the number 645A2879B8 is divisible by both 8 and 9, then the smallest possible values of A and B will be:

  1. AOption (a)

    A = 4, B = 3

  2. BOption (b)

    A = 3, B = 4

  3. COption (c)

    A = 3, B = 2

  4. DOption (d)

    A = 2, B = 3

View answer & explanation

Correct answer

Answer: (c)C.

A = 3, B = 2

Why this answer is correct

Shortcut Trick

For divisibility by 8, the last three digits 9B8 must be divisible by 8.

Smallest B: 908 (No), 918 (No), 928 (Yes, 928 ÷ 8 = 116) ⇒ B = 2.

For divisibility by 9, sum of digits (6+4+5+A+2+8+7+9+B+8) = 49 + A + B must be divisible by 9.

Substitute B = 2: 49 + A + 2 = 51 + A. Next multiple of 9 is 54 ⇒ 51 + A = 54 ⇒ A = 3.

∴ The correct answer is A = 3, B = 2.

Alternate Method

Given: Number 645A2879B8 is divisible by 8 and 9.

Divisibility Rules:

  1. Divisibility by 8: Last three digits 9B8 must be divisible by 8.

⇒ 900 + 10B + 8 = 908 + 10B

⇒ 908 ÷ 8 leaves remainder 4. So, (4 + 10B) must be divisible by 8.

⇒ If B = 0, 4 (No); If B = 1, 14 (No); If B = 2, 24 (Yes).

⇒ Smallest value of B = 2.

  1. Divisibility by 9: Sum of digits must be divisible by 9.

⇒ Sum = 6 + 4 + 5 + A + 2 + 8 + 7 + 9 + B + 8

⇒ Sum = 49 + A + B

⇒ Substitute B = 2: Sum = 49 + A + 2 = 51 + A

⇒ For 51 + A to be divisible by 9, the nearest multiple is 54.

⇒ 51 + A = 54 ⇒ A = 3.

∴ The correct answer is A = 3, B = 2.

Additional Information

Divisibility by 8

A number is divisible by 8 if its last three digits are divisible by 8 or are all zeros.

Divisibility by 9

A number is divisible by 9 if the sum of its digits is a multiple of 9.

Divisibility by 72

If a number is divisible by both 8 and 9 (co-prime factors), it is also divisible by 72.

Question 70

The speed of a car is 40% more than that of a bus. A train covers 1020 km in 8128\frac{1}{2} hours. How much distance will the car cover in 1341\frac{3}{4} hours if the speed of the bus is half the speed of the train?

  1. AOption (a)

    164 km

  2. BOption (b)

    145 km

  3. COption (c)

    147 km

  4. DOption (d)

    174 km

View answer & explanation

Correct answer

Answer: (c)C.

147 km

Why this answer is correct

Given:

Speed of car = 40% more than that of a bus

Time taken to cover 1020 km = 8128\frac{1}{2}hours = 17/2 hours

Formula used:

Speed = Distance/Time

Calculation:

Let the speed of bus be 100x

Then,

The speed of a car is 40% more than that of a bus = (140% of 100x)

⇒ (140/100 × 100x) = 140x

Speed of car = 140x

Now,

According to the question

The speed of the bus is half the speed of the train = (100x × 2) = 200x

The ratio of car, bus and train = (140x : 100x : 200x)

⇒ 7x : 5x : 10x

Now,

Speed = Distance/Time

⇒ (1020/17/2)

⇒ (1020 × 2)/17

⇒ 120 km/h

Speed of train = (120/10x) = 12x

Now, Speed of bus = 5x = 5 × 12 = 60 km/h

Speed of car = 7x = 7 × 12 = 84 km/h

Now,

The speed of car covers in 1341\frac{3}{4} hours = (84 × 7/4) km

⇒ (21 × 7) km

⇒ 147 km

∴ The required distance is 147 km

Shortcut Trick

We know 40% = 2/5 and  

speed of a car is 40% more than that of a bus, so

Speed of bus is 5 unit and speed of car is 7 unit,

According to the question, speed of train is 1020/8.5 = 120 km/hr

So, speed of bus is 120/2 = 60 km/hr

So, 5 unit → 60 km/hr

Then, speed of car 7 unit → 60/5 × 7 = 84 km/hr

Now, the car covers in 1341\frac{3}{4} hours is (84 × 7/4) = 147 km

Question 71

The simple interest on a certain sum of money for 5 years at the rate of 10% per annum is half the compound interest on Rs. 5,000 for 2 years at the rate of 10% per annum, interest compounded yearly. The sum placed on simple interest is:

  1. AOption (a)

    Rs. 1,050

  2. BOption (b)

    Rs. 1,540

  3. COption (c)

    Rs. 1,500

  4. DOption (d)

    Rs. 1,450

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 1,050

Why this answer is correct

Given:

The simple interest on a certain sum of money for 5 years at the rate of 10% per annum is half the compound interest on Rs. 5,000 for 2 years at the rate of 10% per annum, interest compounded yearly

Formula used:

SI = (P × R × T)/100

CI = P(1 + R/100)T – P

Where, P = Principal, R = Rate, T = Time

Calculation:

CI = P(1 + R/100)T – P

⇒ 5000(1 + 10/100)2 – 5000

⇒ 5000(110/100)2 – 5000

⇒ (5000 × 11/10 × 11/10) – 5000

⇒ Rs. 6050 – 5000

⇒ Rs. 1050

Now,

SI is half the CI = Rs. (1050 × 1/2) = Rs. 525

Now,

SI = (P × R × T)/100

⇒ 525 = (P × 5 × 10)/100

⇒ 525 = 50P/100

⇒ P = Rs. (525 × 100)/50

⇒ P = Rs. 1050

∴ The sum placed on simple interest is Rs. 1,050

Question 72

If the perimeter of an isosceles right triangle is 15(√2 + 1) cm, then the area of the triangle will be:

  1. AOption (a)

    55 cm2

  2. BOption (b)

    45 cm2

  3. COption (c)

    46.5 cm2

  4. DOption (d)

    56.25 cm2

View answer & explanation

Correct answer

Answer: (d)D.

56.25 cm2

Why this answer is correct

Given:

The perimeter of an isosceles right triangle = 15(√2 + 1) cm

Concept used:

Perimeter of the triangle is sum of all sides

Formula used:

Area of triangle = 1/2 × base × height

Calculation:

Let equal sides of the isosceles right triangle is x cm

Then, Hypotenuse of the triangle is √2x cm

According to the question

The perimeter of the triangle is

⇒ x + x + √2x = 15(√2 + 1)

⇒ 2x + √2x = 15(√2 + 1)

⇒ √2x(√2 + 1) = 15(√2 + 1)

⇒ √2x = 15

⇒ x = 15/√2

Now,

Area of the triangle = (1/2 × 15/√2 × 15/√2) cm2

⇒ 225/4 cm2

⇒ 56.25 cm2

∴ The required value is 56.25 cm2

Question 73

In a right-angled triangle ABC right angled at C, sin A = sin B. What is the value of cos A?

  1. AOption (a)

    12\frac{1}{\sqrt2}

  2. BOption (b)

    12\frac{1}{2}

  3. COption (c)

    1

  4. DOption (d)

    32\frac{\sqrt3}{2}

View answer & explanation

Correct answer

Answer: (a)A.

12\frac{1}{\sqrt2}

Why this answer is correct

Given:

In a right-angled triangle ABC right angled at C

sinA = sinB

Formula used:

cosθ = B/H

cos 45° = 1/√2

Calculation:

In a right-angled triangle ABC right angled at C

We know that, the sum of all the angle of triangle is 180° 

∠C = 90° and ∠A = ∠B = 45° 

Now,

The value of cosA = cos45° 

⇒ 1/√2

∴ The required value of cos A is 1/√2

Question 74

Study the given graph and answer the question that follows.

By what percentage (approximately) is the average number of vehicles of type B produced in 2014, 2016 and 2018 less than the number of vehicles of type A produced in 2017?

  1. AOption (a)

    20.8

  2. BOption (b)

    18.6

  3. COption (c)

    21.4

  4. DOption (d)

    23.6

View answer & explanation

Correct answer

Answer: (a)A.

20.8

Why this answer is correct

Calculation:

The total number of vehicles of type B produced in 2014, 2016 and 2018 = (180 + 225 + 450) = 855

The average number of vehicles of type B produced in 2014, 2016 and 2018 = (855/3) = 285

The number of vehicles of type A produced in 2017 = 360

The percentage in the average number of vehicles of type B produced in 2014, 2016 and 2018 less than the number of vehicles of type A produced in 2017 is

⇒ [(360 – 285)/360 × 100]

⇒ (75/360 × 100)

⇒ 20.8%

∴ The required percentage is 20.8

Question 75

AB is the diameter of a circle of radius 9 cm. PQ is a chord (not a diameter) that intersects AB at M perpendicularly. If AM : BM = 5 : 4, then the length of chord PQ will be:

  1. AOption (a)

    6√3 cm

  2. BOption (b)

    5√5 cm

  3. COption (c)

    8√5 cm

  4. DOption (d)

    6√5 cm

View answer & explanation

Correct answer

Answer: (c)C.

8√5 cm

Why this answer is correct

Given:

AB is the diameter of a circle of radius 9 cm

PQ is a chord (not a diameter) that intersects AB at M perpendicularly

AM : BM = 5 : 4

Calculation:

Let the ratio of AM and BM be 5x and 4x respectively

Then,

AB is the diameter of a circle of radius 9 cm = (9 × 2) = 18 cm

⇒ (5x + 4x) = 18

⇒ 9x = 18

⇒ x = 2

Now,

AM = 5x = (5 × 2) = 10 cm

BM = 4x = (4 × 2) = 8 cm

Now,

PM = MQ (AB is the diameter of the given circle and PQ is the perpendicular on AB)

As we know,

⇒ PM × MQ = AM × MB

⇒ PM × PM = 10 × 8

⇒ PM2 = 80

⇒ PM = 4√5 cm

Now,

PQ = 2PM

⇒ PQ = (2 × 4√5) cm

⇒ PQ = 8√5 cm

∴ The required value of PQ is 8√5 cm

General Awareness (25 questions)

Question 76

With which bank did Indian Army sign an MoU for serving retired personnel in December 2020?

  1. AOption (a)

    HDFC Bank

  2. BOption (b)

    Union Bank

  3. COption (c)

    Bank of Baroda

  4. DOption (d)

    State Bank of India

View answer & explanation

Correct answer

Answer: (c)C.

Bank of Baroda

Why this answer is correct

The correct answer is Bank of Baroda.

  • Indian Army signed an MoU with Bank of Baroda for serving retired personnel in December 2020.​​

Important Points

  • Indian Army and Bank of Baroda have entered into a Memorandum of Understanding for 'Baroda Military Salary Package'
  • Under the MOU bank would offer customized services along with facilities to the account holders.
  • Benefits: Free Personal Accidental Insurance Cover, Permanent Total Disability Cover, Partial Disability Cover, Air Accident Insurance cover, Higher Education, Girl Child Marriage cover on death in case of serving personnel, Unlimited free ATM transactions at all bank ATMs.

Additional Information

BankDetails
HDFC- It is an Indian banking and financial service company(private sector). - Hashmukhbhai Parekh is the founder of HDFC Bank. - Its headquarters is located in Mumbai.
Union Bank- It is a Government-owned bank. - Seth Sitaram Poddar is the founder of Union Bank. - Its headquarters is located in Mumbai.
Bank of Baroda- It is an Indian banking and financial service company. - Sayaji Rao Gaekwad III was the founder of Bank of Baroda Bank.
State Bank of India- It is an Indian multinational public sector bank. - Its headquarters is located in Mumbai.

Question 77

According to ‘Population estimation of tigers in reserves for 2018-19’ which of the following is India's largest tiger reserve?

  1. AOption (a)

    Bandipore

  2. BOption (b)

    Corbett

  3. COption (c)

    Nagarhole

  4. DOption (d)

    Dudhwa

View answer & explanation

Correct answer

Answer: (b)B.

Corbett

Why this answer is correct

The correct answer is Corbett.

  • According to ‘Population estimation of tigers in reserves for 2018-19’ Corbett is India's largest tiger reserve.​

Key Points

  • Jim Corbett National Park is located in the Nainital district of Uttarakhand State.
  • It was the first Indian National Park(Hailey National Park renamed as Corbett National park) that was established in 1936.
  • The park was first to come under the Project Tiger initiative.

Additional Information

Tiger ReserveDetails
Bandipore- It is located in Gundul pet taluk, Chamarajnagar district, Karnataka. - It is a part of the Niligiri Biosphere Reserve. - The park shares boundaries with three other national parks namely Nagarhole, Wayanad, Mudumalai. - It comes under Project Tiger.
Nagarhole- Nagarhole national park is located in the Kodagu and Mysore districts of Karnataka. - The park derives its name from Naga meaning snake and hole meaning streams. - It is a part of the Niligiri Biosphere Reserve.
Dudhwa- Dudhwa national park is located in the Terai belt of marshy grasslands in northern Uttar Pradesh. - The park is located on the Indo-Nepal border.

Question 78

Which everyday morning ritual is part of quantum mechanics?

  1. AOption (a)

    Brushing teeth

  2. BOption (b)

    Ringing of an alarm clock

  3. COption (c)

    Making tea

  4. DOption (d)

    Reading newspaper

View answer & explanation

Correct answer

Answer: (b)B.

Ringing of an alarm clock

Why this answer is correct

The correct answer is Ringing of an alarm clock.

  • The ringing of an alarm clock morning ritual is part of quantum mechanics.​

Key Points

  • Quantum Mechanics is a fundamental theory in physics.
  • It describes the physical properties of nature at the scale of atoms and subatomic particles.
  • Examples: Toaster
  • Fluorescent light
  • Laser
  • Global positioning
  • Computer and Mobile phone.
  • Biological Compass
  • Microscopy.

Question 79

When an economy is facing inflation, what will the central bank of the country do?

  1. AOption (a)

    Print more notes

  2. BOption (b)

    Set up more ATMs to help the public

  3. COption (c)

    Reduce the cost of money by reducing rates

  4. DOption (d)

    Raise the cost of money by raising rates

View answer & explanation

Correct answer

Answer: (d)D.

Raise the cost of money by raising rates

Why this answer is correct

The correct answer is to Raise the cost of money by raising rates.

  • When an economy is facing inflation, the central bank of the country will Raise the cost of money by raising rates.​

Key Points

  • Inflation refers to a progressive increase in the goods and services of an economy.
  • ​An increase in the demand and Reduce in supply are two reasons that can be attributed to price rise.
  • When the general price level increases each unit of currency buys fewer goods and services.
  • Inflation corresponds to a reduction in the purchasing power of money.
  • Note: It is not high prices but rising price levels constitute inflation.

Important Points

  • Reserve Bank of India is the central bank of India.
  • It was originally set up as a private entity in 1935 under RBI Act and it was nationalized in the year 1949.
  • RBI conducts consolidated supervision of the financial sector of India which constitutes commercial banks, financial institutions, and nonbanking finance firms.
  • Its headquarters is located in Mumbai.

Question 80

Which Indian film was the first film to win the ‘Palme d'Or’ at Cannes Film Festival?

  1. AOption (a)

    Mughal-e-Azam

  2. BOption (b)

    Ram Aur Shyam

  3. COption (c)

    Neecha Nagar

  4. DOption (d)

    Mother India

View answer & explanation

Correct answer

Answer: (c)C.

Neecha Nagar

Why this answer is correct

The correct answer is Neecha Nagar.

  • Neecha Nagar was the first Indian film to win the ‘Palme d'Or’ at Cannes Film Festival.​

Key Points

  • Neecha Nagar is the first film that took Indian cinema on the global stage was directed by Chetan Anand.
  • ‘Palme d'Or’ is considered the highest honor for cinema.
  • Neecha Nagar had a strong theme that captures India in 1946.
  • The film talks about the gulf between the rich and poor in society.​

Additional Information

  • Cannes film festival is an annual film festival held in Cannes, France which previews new films of all genres including documentaries from all around the world.
  • It was founded in 1946.

Question 81

Purna, Manjira and Pranhita are tributaries of:

  1. AOption (a)

    Indus

  2. BOption (b)

    Yamuna

  3. COption (c)

    Chambal

  4. DOption (d)

    Godavari

View answer & explanation

Correct answer

Answer: (d)D.

Godavari

Why this answer is correct

The correct answer is the Godavari.

  • Purna, Manjira and Pranhita are tributaries of Godavari.​

Key Points

  • Godavari is India's second-longest river after Ganga and the third largest in India.
  • It originates in Trimbakeshwar, Nashik, Maharashtra, and empties into the Bay of Bengal.
  • Geography of the river: Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, Odisha.
  • Major Right bank tributaries: Pravara, Manjira, Manair,
  • Major Left bank tributaries: Purna, Pranahita, Indravati, Sabari.

Additional Information

RiversDetails
Indus- The trans-Himalayan river originates in western Tibet. - Important tributaries: Gilgit, Beas, Chenab, Jhelum, Ravi, Sutlej, Zaskar, Shyok.
Chambal- Chambal is a part of the greater Gangetic drainage system. - It originates at Janapav, South of Mhow town on the south slope of the Vindhyan range in Madhya Pradesh. - It is a tributary of the Yamuna river. - Important tributaries: Parbati, Kali, Sindh, Shipra, Banas, Mej
Yamuna- It originates in Yamunotri Glacier, Uttarakhand. - It is a tributary of the Ganga. - Important tributaries: Hindon, ken, Chambal, Sindh, Tons, Betwa, Sasur Khadheri.

Question 82

Which of the following is a capacity-building scheme that was launched in 2020 for civil servants aimed at upgrading the post-recruitment training mechanism of the officers and employees at all levels?

  1. AOption (a)

    Mission Rakshak

  2. BOption (b)

    Mission Sahayog

  3. COption (c)

    Mission Karmayogi

  4. DOption (d)

    Mission Swabhiman

View answer & explanation

Correct answer

Answer: (c)C.

Mission Karmayogi

Why this answer is correct

The correct answer is Mission Karmayogi.

  • Mission Karmayogi is a capacity-building scheme that was launched in 2020 for civil servants aimed at upgrading the post-recruitment training mechanism of the officers and employees at all levels.​

Key Points

  • The biggest bureaucratic reform initiative of 'Mission Karmayogi' a National Program for Civil Services Capacity Building (NPCSCB) is to improve the human resource management practices of the government and use state-of-the-art infrastructure to enhance the capacity of civil servants.
  • It is a Technical Aided (IGOT Karmayogi) scheme with comprehensive coverage of Central Government employees at all levels.
  • Capacity building will involve civil servants in Indian culture while learning best practices across the globe.
  • A Special Purpose Vehicle will be set up under Section 8 of the Companies Act 2013.

Additional Information

  • Mission Rakshak is a campaign launched by ABPV to stop the spread of covid.
  • Activities: Thermal screening, distribute masks, encourage people to get themselves vaccinated.

Question 83

Which of the following Articles of the Constitution of India details 'Prohibition of discrimination on grounds of religion, race, caste, sex or place of birth'?

  1. AOption (a)

    Article 10

  2. BOption (b)

    Article 15

  3. COption (c)

    Article 27

  4. DOption (d)

    Article 22

View answer & explanation

Correct answer

Answer: (b)B.

Article 15

Why this answer is correct

The correct answer is Article 15.

  • Article 15  of the Constitution of India details 'Prohibition of discrimination on grounds of religion, race, caste, sex or place of birth'.​

Important Points

  • Article 15 (Prohibition of Discrimination on the grounds of religion, race, caste, sex, or place of birth):​
  • (1) The State shall not discriminate against any citizen on grounds of religion, race, caste, sex, or place of birth.
  • (2) No citizen shall be subject to any disability, liability, restriction, or condition on grounds of religion, race, caste, sex, or place of birth.
  • (a) Access to shops, public restaurants, hotels, and places of public entertainment.
  • (b) the use of dedicated wells, tanks, bathing ghats, roads, and places of public resort for the use of the general public.
  • (3) Nothing in this article shall prevent the State from making any special provision for women and children.
  • (4) Nothing in this article or clause (2) of Article 29 shall prevent the State from making any special provision for any socially or educationally backward classes of citizens or for the Scheduled Castes and the Scheduled Tribes.​​

Additional Information

ArticleDetails
Article 10- Continuance of Rights of citizenship- Every citizen who is OR deemed to be a citizen of India or any of the foregoing provisions of this part shall subject to the provisions of any law that may be made by the parliament, continue to be a citizen.
Article 22- It is a fundamental right that safeguards the rights of the individuals who have been arrested and detained for committing an offense.
Article 27- Freedom as to payment of taxes for the promotion of any particular religion.

Question 84

How many bits does an IP address consist of?

  1. AOption (a)

    32

  2. BOption (b)

    24

  3. COption (c)

    16

  4. DOption (d)

    12

View answer & explanation

Correct answer

Answer: (a)A.

32

Why this answer is correct

The correct answer is 32.

  • An IP address consists of 32 bits.​

Key Points

  • An Internet Protocol address (IP address) is a numerical label such as 192.0.2.1 associated with a computer network that uses the Internet Protocol for communication. IP addresses perform two main functions: network interface identification and location addressing.
  • Internet Protocol version 4 (IPv4) defines an IP address as a 32-bit number. However, due to the development of the Internet and the lack of available IPv4 addresses, a new version of IP (IPv6) was standardized in 1998, using 128 bits for the IP address. IPv6 deployment has been around since the mid-2000s.
  • IP describes a set of standards and requirements for creating and transmitting the data packets or datagrams across networks.
  • The two main functions include interface identification and location addressing.
  • IP addresses are binary numbers but are typically expressed in decimal forms or Hexadecimal forms to make reading and using them easier for humans.

Question 85

In which of the following options is the substance INCORRECTLY paired with the acid present in that substance?

  1. AOption (a)

    Tomato - Oxalic Acid

  2. BOption (b)

    Orange - Citric Acid

  3. COption (c)

    Vinegar - Acetic Acid

  4. DOption (d)

    Lemon - Lactic Acid

View answer & explanation

Correct answer

Answer: (d)D.

Lemon - Lactic Acid

Why this answer is correct

The correct answer is Lemon - Lactic Acid.

  • Lemon juice and lime juice are rich sources of citric acid, containing 1.44 and 1.38 g/oz, respectively.

Key Points

  • Lactic acid is an organic acid. Its molecular formula is CH3CHCOOH.
  • It is white in solid-state and miscible with water.
  • When in the dissolved state, it forms a colorless solution.
  • Production involves both artificial syntheses as well as natural sources.
  • It is often found in spicy foods, fermented soy products, salami, yogurt, etc.

Important Points

  • Oxalic Acid is an organic acid.
  • Uses: Acid rinse in laundries, Cleaning agent, tooth whitening process.
  • Citric acid is a weak colorless organic acid.
  • Uses: Antioxidant, emulsifying agent in ice creams, flavoring agent.
  • Acetic acid is a colorless liquid and organic compound.
  • Uses: Testing blood in clinical laboratory, treatment of outer ear infections, As a solvent for many industrial processes.

Question 86

Where were the terracotta models of the plough excavated in Harappan civilization?

  1. AOption (a)

    Kashmir

  2. BOption (b)

    Banawali

  3. COption (c)

    Amrinal

  4. DOption (d)

    Lothal

View answer & explanation

Correct answer

Answer: (b)B.

Banawali

Why this answer is correct

The correct answer is Banawali.

  • Terracotta models of the plough were excavated in Banawali, Harappan civilization.​
  • Banawali is situated in Fatehabad district, Haryana.

Important Points

  • The Indus Valley Civilization was established around 3300 BC. It flourished between 2600 BC and 1900 BC (the mature Indus Valley Civilization). It began to decline around 1900 BC and disappeared around 1400 BC.
  • It is also called Harappan Civilization after the first excavated city Harappa (Punjab, Pakistan).
  • Pre-Harappan civilization found at Mehrgarh in Pakistan shows the first evidence of cotton cultivation.
  • Geographically, this civilization covered Punjab, Sindh, Balochistan, Rajasthan, Gujarat and western Uttar Pradesh. It extended from Sutkagengor (in Balochistan) in the west to Alamgirpur (Western Uttar Pradesh) in the east; and from Mandu (Jammu) in the north to Daimabad (Ahmednagar, Maharashtra) in the south. Some Indus Valley sites have also been found as far away as Afghanistan and Turkmenistan.

Question 87

Who was awarded the Nobel Prize in Literature 2020?

  1. AOption (a)

    Andrea M Ghez

  2. BOption (b)

    Roger Penrose

  3. COption (c)

    Reinhard Genzel

  4. DOption (d)

    Louise Glück

View answer & explanation

Correct answer

Answer: (d)D.

Louise Glück

Why this answer is correct

The correct answer is Louise Glück.

  • Louise Glück was awarded the Nobel prize in Literature.​
  • She won Nobel Prize in Literature 2020 for "her unmistakable poetic voice that with austere beauty makes individual existence universal".

Additional Information

  • The Nobel Prize in Physics 2020
  • Roger Penrose
  • “for the discovery, that black hole formation is a robust prediction of the general theory of relativity”
  • Reinhard Genzel
  • “for the discovery of a supermassive compact object at the center of our galaxy”
  • Andrea Ghez
  • “for the discovery of a supermassive compact object at the center of our galaxy”
  • The Nobel Peace Prize 2020
  • World Food Programme (WFP)

Important Points

  • The Nobel Prize in Physics 2021
  • Syukuro Manabe
  • “for the physical modelling of Earth’s climate, quantifying variability and reliably predicting global warming”
  • Klaus Hasselmann
  • “for the physical modelling of Earth’s climate, quantifying variability and reliably predicting global warming”
  • Giorgio Parisi
  • “for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales”

Question 88

Who among the following is the first table tennis player to win the Rajiv Gandhi Khel Ratna Award?

  1. AOption (a)

    Manika Batra

  2. BOption (b)

    Poulomi Ghatak

  3. COption (c)

    Soumyajit Ghosh

  4. DOption (d)

    Sharath Kamal

View answer & explanation

Correct answer

Answer: (a)A.

Manika Batra

Why this answer is correct

The correct answer is Manika Batra.

  • Manika Batra is the first table tennis player to win the Rajiv Gandhi Khel Ratna Award.​

Key Points

  • Manika Batra an Indian table tennis player hails from Narain Vihar, Delhi.
  • She is the top-ranked table tennis player in India and ranked 50th in the world as of February 2022.
  • Other Awards: Dhyan Chand Khel Ratna Award.

Additional Information

  • Poulomi Ghatak an Indian table tennis player hails from West Bengal India who won three national junior champions**.**
  • Soumyajit Ghosh an Indian table tennis player hails from West Bengal India is the youngest player to qualify for London 2012 Olympics**.**
  • Sharath Kamal an Indian table tennis player hails from Tamil Nadu was awarded Padma Shri in the year 2019.
  • ​He was the first Indian table tennis player to become nine times senior national champion.
  • He also received Arjuna Award in the year 2004.

Question 89

Onions produce the chemical irritant known as syn-propanethial-S-oxide; this stimulates the eyes' ______ glands which release tears.

  1. AOption (a)

    parotid

  2. BOption (b)

    lachrymal

  3. COption (c)

    submandibular

  4. DOption (d)

    sublingual

View answer & explanation

Correct answer

Answer: (b)B.

lachrymal

Why this answer is correct

The correct answer is lachrymal.

  • Onions produce the chemical irritant known as syn-propanethial-S-oxide; this stimulates the eyes' Lachrymal glands which release tears.​

Important Points

  • Onion is a vegetable that is mostly cultivated species of genius Allium.
  • syn-propanethial-S-oxide is a volatile liquid, its aerosol stimulates nerves in the eyes.
  • Chopping of onion causes damage to the cells, the breakdown of amino acid sulfoxides generates sulfenic acid.
  • Propene sulfenic acid is rapidly acted on by lacrimatory factor synthase producing syn-propanethial-S-oxide, which diffuses and activates sensory neurons(in eyes).​

Additional Information

NameDetails
Parotid- The gland is present in mouth(upper part of cheek or beneath ears) and are the largest of salivary glands. - The ducts of this gland help empty saliva into the mouth.
lachrymal- It is an almond-shaped structure. - They are paired exocrine glands one in each eye. - It is situated in the eye socket underneath the upper eyelid.
submandibular- It is as the size of a walnut and second-largest salivary glands
Sublingual- It is one among the salivary glands

Question 90

In which year did Akbar analyse the state revenue statistics for the last 10 years, which contained information on price fluctuations and land productivity?

  1. AOption (a)

    1548

  2. BOption (b)

    1569

  3. COption (c)

    1580

  4. DOption (d)

    1536

View answer & explanation

Correct answer

Answer: (c)C.

1580

Why this answer is correct

The correct answer is 1580.

  • In 1580 Akbar analyzed the state revenue statistics of the last 10 years, which contained information on price fluctuations and land productivity and averaged crop yield and prices for different regions of his empire.​

Important Points

  • Jalal-ud-din Muhammad Akbar was crowned in 1556 at the very young age of 13 years.
  • Art and Architecture: Fatehpur Sikri, Jama Masjid(UP) and its Gateway Buland Darwaza.
  • The land revenue system of Akbar was known as Zabti or Bandobasth system.
  • The land was classified as Polaj, Parauti, Chachar, Banjar**.**
  • Mansabdari system: The nobility and Army were organized by the system.
  • Jagirdari system: Assigning the revenue of particular territory to nobles for their services to the states.

Question 91

Who among the following is the head coach of India’s men’s (Senior) football team as of December 2020?

  1. AOption (a)

    Robert Jarni

  2. BOption (b)

    Igor Stimac

  3. COption (c)

    Dražen Ladić

  4. DOption (d)

    Stephen Constantine

View answer & explanation

Correct answer

Answer: (b)B.

Igor Stimac

Why this answer is correct

The correct answer is the Godavari.

  • Purna, Manjira and Pranhita are tributaries of Godavari.​

Key Points

  • Godavari is India's second-longest river after Ganga and the third largest in India.
  • It originates in Trimbakeshwar, Nashik, Maharashtra, and empties into the Bay of Bengal.
  • Geography of the river: Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, Odisha.
  • Major Right bank tributaries: Pravara, Manjira, Manair,
  • Major Left bank tributaries: Purna, Pranahita, Indravati, Sabari.

Additional Information

RiversDetails
Indus- The trans-Himalayan river originates in western Tibet. - Important tributaries: Gilgit, Beas, Chenab, Jhelum, Ravi, Sutlej, Zaskar, Shyok.
Chambal- Chambal is a part of the greater Gangetic drainage system. - It originates at Janapav, South of Mhow town on the south slope of the Vindhyan range in Madhya Pradesh. - It is a tributary of the Yamuna river. - Important tributaries: Parbati, Kali, Sindh, Shipra, Banas, Mej
Yamuna- It originates in Yamunotri Glacier, Uttarakhand. - It is a tributary of the Ganga. - Important tributaries: Hindon, ken, Chambal, Sindh, Tons, Betwa, Sasur Khadheri.

Question 92

Which of the following teams has won the Indian Premier League (IPL) trophy five times as of November 2020?

  1. AOption (a)

    Sunrisers Hyderabad

  2. BOption (b)

    Chennai Super Kings

  3. COption (c)

    Mumbai Indians

  4. DOption (d)

    Rajasthan Royals

View answer & explanation

Correct answer

Answer: (c)C.

Mumbai Indians

Why this answer is correct

The correct answer is Mumbai Indians.

  • Mumbai Indians has won the Indian Premier League (IPL) trophy five times as of November 2020.​

Important Points

  • Mumbai Indians are a franchise cricket team based in Mumbai, Maharashtra that competes in the Indian Premiere League.
  • Chennai Super Kings is a franchise cricket team based in Chennai, Tamil Nadu that competes in the Indian Premiere League.
  • Sunrisers Hyderabad are a franchise cricket team based in Hyderabad, Telangana that competes in Indian Premiere League.
  • Rajasthan Royals are a franchise cricket team based in Jaipur, Rajasthan that competes in Indian Premiere League.

Additional Information

  • Indian Premiere League was founded by BCCI in 2007.
  • The Board of Control for Cricket in India is the governing body for cricket in India and is under the jurisdiction of the Ministry of Youth Affairs and Sports, Government of India.
  • It is an autonomous organization and does not come under the National Sports Federation of India.
  • Founded in December 1928.

Question 93

Who among the following started the construction of the Qutub Minar?

  1. AOption (a)

    Akbar

  2. BOption (b)

    Jahangir

  3. COption (c)

    Qutb al-Din Aibak

  4. DOption (d)

    Iltutmish

View answer & explanation

Correct answer

Answer: (c)C.

Qutb al-Din Aibak

Why this answer is correct

The correct answer is Qutb al-Din Aibak.

Key Points

  • Qutb al-Din Aibak began the construction of Qutub Minar, in honour of the famous Sufi Saint, Khwaja Qutubuddin Bakhtiyar Kaki.
  • He also constructed two mosques, Quwwat-ul- Islam in Delhi and Adhai din ka Jhonpra in Ajmer.
  • He patronized writers like Hasan-ul Nizami, author of Taj-ul-Massir, and Fakhruddin, author of Tarikh-i-Mubarak Shahi.​

Additional Information

  • Akbar was one of the mightiest kings of the Mughal Era.
  • ​He was crowned at a very young age at Kalanaur in Punjab.
  • Art and Architecture: Fatehpur Sikri, Red sandstone fort at Agra, Jahangir Mahal.
  • He founded Din-i-ilahi in the year 1582 to bridge the gap between all religions.
  • Jahangir was the fourth Mughal emperor and the son of Akbar.
  • ​Sir Thomas Roe an English man secured a permission letter from Jahangir to establish a factory in India.
  • Qutb al-Din Aibak was the general of Muhammad Ghori.
  • ​He started the construction of the first Islamic Monuments of North India Quwwat-ul-Islam.
  • He was known as Lakh Bash (giver of Lakhs)
  • Iltutmish was the son-in-law of Qutb al-Din Aibak.​
  • He is considered an effective founder of the Delhi Sultanate.
  • He introduced the Iqtadari system where the kingdom was divided into iqtas and assigned to nobles in exchange for salaries.
  • He completed the construction of Quwwat-ul-Islam and Qutub Minar.

Question 94

Which of the following institutions conducts the survey on employment and unemployment?

  1. AOption (a)

    National Institution of Economic and Social Research

  2. BOption (b)

    National Sample Survey Organisation

  3. COption (c)

    National Council of Applied Economic Research

  4. DOption (d)

    NITI Aayog

View answer & explanation

Correct answer

Answer: (b)B.

National Sample Survey Organisation

Why this answer is correct

The correct answer is National Sample Survey Organisation.

Important Points

  • National Sample Survey Organisation was the largest organization in India conducting periodic socio-economic surveys.
  • It was established in the year 1950.
  • It comes under the Ministry of Statistics of the Government of India.

Additional Information

NameDetails
National Council of Applied Economic Research- It is a New Delhi-based non-profit think tank of economics. - Nandan Nilekani is the president of the governing body and Poonam Gupta is the current director-general of NCAER
Niti Aayog- It is the apex Public Policy think tank of the Government of India. - Formed on 1 January 2015. - Its headquarters is in New Delhi.
National Institution of Economic and Social Research- It is the British oldest independent economic research institute established in 1938 - Its headquarters is located in London, United Kingdom

Question 95

Which of the following provisions and the constitutions of different countries from which they have been adopted in the Constitution of India has been INCORRECTLY paired?

  1. AOption (a)

    The idea of the rule of law - British Constitution

  2. BOption (b)

    Charter of Fundamental rights - United States Constitution

  3. COption (c)

    Principals of Liberty, Equality and Fraternity - Canadian Constitution

  4. DOption (d)

    Directive Principles of State Policy - Irish Constitution

View answer & explanation

Correct answer

Answer: (c)C.

Principals of Liberty, Equality and Fraternity - Canadian Constitution

Why this answer is correct

The correct answer is Principals of Liberty, Equality, and Fraternity - the Canadian Constitution.

Important Points

  • Dr. Ambedkar the principal architect of the constitution of India recognizes liberty, equality, fraternity.
  • He said" Liberty cannot be divorced from equality, and equality cannot be divorced by liberty and equality and Liberty cannot be divorced from fraternity.
  • The principles were borrowed from the French constitution.

Additional Information

  • Fundamental Rights: They are known as the Magna Carta of India Constitution.
  • The Charter of Fundamental Rights is borrowed from the Constitution of the United States.
  • They are enshrined in part 3 of the Indian Constitution.
  • Article (12-35) constitute Fundamental Rights.
  • The six fundamental rights include Right to Equality (Articles 14-18), Right to Freedom (Articles 19-22), Right against Exploitation (23-24), Right to Freedom of Religion (25-28), Cultural and Educational Rights 29-30), Right to Constitutional Remedies (Article 32).
  • Directive Principles of State Policy: The Source of DPSP originates from Spanish Constitution, Indian Consitution borrowed them from Irish Constitution.
  • They are Enshrined in Part 4 of the Indian Consitution.
  • Article (36-51) constitutes DPSP.
  • They are classified as Socialist principles, Gandhian principles, Liberal and Intellectual principles.
  • Rule of Law: It was borrowed from British Constitution.
  • It is nowhere defined in the Indian Constitution.
  • Rule of Law states that Law is supreme, All citizens are equal before the law, no one can be above the law.

Question 96

Which of the following ships was launched on 14 December 2020 in Kolkata?

  1. AOption (a)

    INS Kolkata

  2. BOption (b)

    INS Himgiri

  3. COption (c)

    INS Jalashwa

  4. DOption (d)

    INS Shardul

View answer & explanation

Correct answer

Answer: (b)B.

INS Himgiri

Why this answer is correct

The correct answer is INS Himgiri.

  • INS Himgiri was launched on 14 December 2020 in Kolkata.​
  • INS Himgiri is the second ship of the Nilgiri class stealth-guided missile frigates being built for the Indian Navy by Garden Reach Shipbuilders and Engineers.
  • The ship was laid down on 10 November 2018 and was launched on 14 December 2020.
  • The ship is expected to be commissioned by August 2023.​

Important Points

  • INS Kolkata is the leadership of the Kolkata-class stealth guided-missile destroyers of the Indian Navy.
  • It was constructed at Mazagon Dock Limited.
  • INS Jalashwa is an amphibious transport dock in service with the Indian Navy.
  • INS Shardul is the lead ship of the Shardul-class amphibious warfare vessels of the Indian Navy.
  • It was built by Garden Reach Shipbuilders and Engineers.

Question 97

Which of the following is a dance form of West Bengal where there is a confluence of dancing, singing, drama and recital?

  1. AOption (a)

    Hudo

  2. BOption (b)

    Tippani

  3. COption (c)

    Bhavai

  4. DOption (d)

    Alkap

View answer & explanation

Correct answer

Answer: (d)D.

Alkap

Why this answer is correct

The correct answer is Alkap.

  • Alkap is a dance form of West Bengal where there is a confluence of dancing, singing, drama and recital.​

Important Points

DancesDetails
Hudo- It is one of the folk dances of Gujarat. - It is a dance of the Bharwad Tribe.
Tippani- It is one of the folk dances of Gujarat. - It is originated from the Chorwad and Veraval region of Saurashtra.
Bhavai- It is one of the folk theatres of Gujarat. - It is originated in the 14th century. - Asaita Thakur is credited for its origin.
Alkap- It is a Bengali folk popular in West Bengal. - Kaap means Kavya and Aal means part of the verse.

Question 98

Which of the following valleys is NOT located in Himachal Pradesh?

  1. AOption (a)

    Silent Valley

  2. BOption (b)

    Malana Valley

  3. COption (c)

    Markha Valley

  4. DOption (d)

    Chumbi Valley

View answer & explanation

Correct answer

Answer: (a)A.

Silent Valley

Why this answer is correct

The correct answer is Silent Valley.

  • Silent Valley is NOT located in Himachal Pradesh. ​

Key Points

  • Silent Valley National park is located in Kerala.
  • It is located in Niligiri Hills.
  • It is located in the Palakkad district of Kerala and the Niligiri district of Tamil Nadu.
  • Kuntipuzha river drains for 15 km in the park from north to south.
  • Mudugar and Irula tribal are indigenous people.
  • The Chumbi Valley, called Dromo or Tromo in Tibetan, is a valley in the Himalayas that projects southwards from the Tibetan plateau, intervening between Sikkim and Bhutan.
  • Malana is an ancient Indian village in the state of Himachal Pradesh.

Question 99

India's longest LPG pipeline is from Jamnagar to _______.

  1. AOption (a)

    Hazira

  2. BOption (b)

    Namrup

  3. COption (c)

    Vijaynagar

  4. DOption (d)

    Loni

View answer & explanation

Correct answer

Answer: (d)D.

Loni

Why this answer is correct

The correct answer is Loni.

  • India's longest LPG pipeline is from Jamnagar to Loni.

Key Points

  • The LPG pipeline is the longest in the world.
  • It is India's first cross-country pipeline.
  • It passes through Gujarat, Rajasthan, Haryana, Delhi, UP.

Additional Information

  • Hazira-Vijaipur-Jagsishpur (HVJ) is India's first cross-state gas pipeline.
  • The project was started in 1986.
  • States: Gujarat, Rajasthan, Haryana, Delhi, UP, Madhya Pradesh
  • Namrup is a small town situated close to Patkai hills in the extreme southeastern part of Assam, India.
  • Namrup Thermal Power Plant is situated in Assam.

Question 100

Second generation computers (1955-1964) were made of:

  1. AOption (a)

    small scale integrated circuit chips

  2. BOption (b)

    transistors

  3. COption (c)

    large scale integrated circuit chips

  4. DOption (d)

    vacuum tubes

View answer & explanation

Correct answer

Answer: (b)B.

transistors

Why this answer is correct

The correct answer is transistors.

  • Second-generation computers (1955-1964) were made of transistors.​

Key Points

  • Vacuum tube – an electronic device that controls the flow of electrons in a vacuum. It is used as a switch, amplifier, or display screen in many older model radios, televisions, computers, etc.
  • Transistor – an electronic component that can be used as an amplifier or as a switch. It is used to control the flow of electricity in radios, televisions, computers, etc.
  • Integrated circuit (IC) – a small electronic circuit printed on a chip (usually made of silicon) that contains many its own circuit elements (e.g. transistors, diodes, resistors, etc.).
  • Microprocessor – an electronic component held on an integrated circuit that contains a computer’s central processing unit (CPU) and other associated circuits.

Important Points

Five Generations of Computers

Generations of computersEvolving hardware
First-generationVacuum tube
Second generationTransistor
Third generationIntegrated circuit
Fourth generationMicroprocessor
Fifth-generationArtificial intelligence

100 questions in the full paper