SSC CHSL Previous Paper 33 (Held On: 21 Oct 2020 Shift 3) (Previous Year Paper)

The correct answer is - Anya suggested that we sit out in the sun.

Key Points

• Let's look at the steps to change the sentence from direct to indirect speech:
• When the direct speech is in an imperative form, we follow the steps given below:
• Change the sentence in direct speech from imperative to assertive.
• The tense of reported speech is changed only when the reporting verb is in the past tense.
• The reporting verb said is converted into suggested.
• 'That' is used in place of comma and inverted commas followed by the pronoun 'we' which replaces Let's.
• At last, line up the remaining part.
  

Following these steps, we finally get - Anya suggested that we sit out in the sun.

The correct answer is- Philanthropist.

Key Points

• Let's look at the meanings of the given word and marked option:
• Altruist- a person who seeks to promote the welfare of others, especially by the generous donation of money to good causes; Philanthropist
• ​Let's look at the meanings of the other given options: 
• Impressionist- a painter, writer, or composer who is an exponent of impressionism
• Nutritionist- a person who studies or is an expert in nutrition
• Individualist- a person who is independent and self-reliant
• ​Hence from the given meanings, we find that Altruist and Philanthropist are synonyms.

The correct answer is- To be in low spirits​.

Key Points

• Let's look at the meaning of the given idiom:
• Under the weather- to support or enable to survive temporarily
• Example: 
• She was sufficiently under the weather to have to pull out of the championship.
  

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Additional Information  

• Let's look at the origin of the idiom:
• The origin of this phrase can be traced to maritime sources.
• In old days, when a sailor was not feeling well, he would be sent below deck to recover, so that he could be away from the weather.

The correct answer is- ongoing.

Key Points

• ​Let's have a look at the meanings of the given verbs:
• onset- the beginning of something, especially something unpleasant
• foregone- omit or decline to take (something pleasant or valuable); go without
• ongoing- continuing; still in progress
• postponed- cause or arrange for (something) to take place at a time later than that first scheduled
• As per the latter part (this evening) of the sentence, the Classical Indian Music Festival has still been going on.
• Hence in the given blank part of the sentence, the correct choice will be the 3rd option i.e. ongoing.

The correct answer is- to reuse.

Key Points

• ​Let's have a look at the meanings of the given verbs:
• Redo- do (something) again or differently
• Reuse- use again or more than once
• As per the context of the sentence, there can be many ways to recycle and use the products again.
• Hence in the given blank part of the sentence, the correct choice will be the 3rd option i.e. to reuse.

The correct answer is- just.

Key Points

• An adverb is a word or phrase that modifies or qualifies an adjective, verb, or other adverb or a word group, expressing a relation of place, time, circumstance, manner, etc.
• ​Let's have a look at the meanings of the given adverbs:
• seldom- not often; rarely
• never- at no time in the past or future; on no occasion; not ever
• just- really; absolutely (used for emphasis)
• As per the context of the sentence, the surface of the carrots only needs to be scrubbed off gently to avoid wastage of food.
• Hence in the given blank part of the sentence, the correct choice will be the 4th option i.e. just.

The correct answer is- product.

Key Points

• Let's look at the meaning of the base word:
• produce- make or manufacture from components or raw materials
• Let's look at the meanings of the other given options: 
• producer- a person, company, or country that makes, grows, or supplies goods or commodities for sale
• productive- producing or able to produce large amounts of goods, crops, or other commodities
• production- the action of making or manufacturing from components or raw materials, or the process of being so manufactured
• product- an article or substance that is manufactured or refined for sale
• As per the context of the sentence, each part of the food commodity should be used.
• Hence, from the given meanings, we find that product is the correct choice.

The correct answer is- in.

Key Points​

• ​Let's look at the use of these three prepositions in the context of time and place:
• Use 'in' to refer to indicate a location, longer period of time, such as months, years, decades, or centuries such as:
• in a hotel, in April, in 2015, or in the 21st century.
• Use 'on' to talk about particular days, dates, and holidays such as:
• on Monday, on Memorial day, on Diwali, etc.
• ​For the most specific times or places, and for holidays without the word “day,” we use 'at' such as:
• at midnight, at noon, at 7 pm, at home, at the office, etc.
• As a location i.e. 'restaurants' is given, 'in' will be used in the blank part of the sentence.
  

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Additional Information  ​

• There are certain phrases/nouns which are not preceded by a preposition (especially 'on').

• Some of them are given below:

• today, tomorrow, yesterday, the next day/month/year, tonight, last night, etc.

• Example:​

• I met her on last Saturday. 

• I met her last Saturday.

The correct answer is- are passionate​​.

Key Points

• In a sentence, the verb is used according to person and number.
• The verb always conforms to the main subject of the sentence.
• In the given sentence, the main subject is 'chefs' which is plural.
• Hence, the auxiliary verb will also be plural i.e. 'are' as the given sentence is in the present tense.
• The adjective 'passionate' will follow the auxiliary verb 'are' to qualify the noun 'cooking'.
• Thus the 4th option will be the correct choice.

The correct answer is- I was told by the vet to put eye drops and ointment in my pet’s eyes.

Key Points

• The given sentence is in an active voice form, hence we need to convert it into a passive voice form.
• Find the subject (The vet) and object (me) of the sentence and exchange their places.
• The given sentence is in the simple past tense. The passive verb form for simple past is: 
• was/were + past participle form of the verb.
• So, 'told' changes to 'was told'.
• At last line up the remaining part.
  

Following these steps, we finally get- I was told by the vet to put eye drops and ointment in my pet’s eyes.

Additional Information  ​​​​

• Certain verbs are followed by certain prepositions. Some of them are given below:
• vexed at, surprise/astonished/amazed at, known to, tired of, engulfed in, etc.
• Example:
• His weird behaviour surprised me. (active)
• I was surprised at his weird behavior. (passive)

The correct answer is- while practice for the Khelo India Games.

Key Points​

• ​Let's understand the difference between the adverbs given below:
• When- at or on which (referring to a time or circumstance)
• While- during the time that; at the same time as
• We use 'while' with two continuous actions and 'when' with two single actions.
• Example:
• He was playing while I was studying. (two continuous actions)
• I picked up the phone when it rang.​ (two single actions)
• Since two events are taking place simultaneously (the archer getting hurt and practising), present participle i.e. practising will be used in the 1st option.
  

Correct Sentence: A 12-year-old archer was airlifted to Delhi when he met with an accident while practising for the Khelo India Games in Guwahati.

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Additional Information  ​​

• ​Let's understand the difference between the adverbs given below:

• Hard- With a great amount of effort.

• Hardly- scarcely (used to qualify a statement by saying that it is true to an insignificant degree).

• For example:

• He hard does any work*.*

• He hardly does any work.

The correct answer is- Ignore.

Key Points

• Let's look at the meanings of the given word and marked option:
• Contemplate- look thoughtfully for a long time at
  
• Ignore- refuse to take notice of or acknowledge; disregard intentionally
  
• ​​Let's look at the meanings of the other given options: 
• Deify- worship, regard, or treat (someone or something) as a god
  
• Conceive- become pregnant with (a child)
• Meditate- think deeply or carefully about (something)
• Hence from the given meanings, we find that Contemplate and Ignore are antonyms.
  

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Additional Information  

• Let's look at the antonyms for the given word:
• Antonyms-  overlook, neglect, disregard, exclude

The correct answer is - BCAD.

Key Points

• While arranging the parts of the passage, we should find some grammatical or contextual connections between them:
• Sentence B introduces us to the film 'Silo's journey'. It is the introductory sentence and will be put in the first place.
• Sentence C tells us about the subject which the above-mentioned movie is based on. It will be put in second place.
• Sentence A tells us about the advice given by the mother of the young reindeer. It will be put in third place.
• The last sentence is D as it mentions the narrator of the story i.e. a curious red-haired squirrel.
  
• Thus, the correct order is - BCAD

The correct answer is- are more likely​​.

Key Points

• In a sentence, the verb is used according to person and number.
• The verb always conforms to the main subject of the sentence.
• In the given sentence, the main subject is 'adults' which is plural.
• Hence, the auxiliary verb will also be plural i.e. 'are' as the given sentence is in the present tense.
• The adjective 'likely' will follow the determiner 'more' as it means such as well might happen or be true; probable.
  

​Correct Sentence: It is evident from current research that young adults are more likely to develop an interest in spoken English if there is a change in methodology.

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Additional Information  

• If an article is used before every subject, it denotes different people/things. Hence, a plural verb will be used.
• Example:
• ​The writer and the poet has come**. (incorrect)
• ​The writer and the poet have come. (correct)

The correct answer is- Arrogant.

Key Points

• Let's look at the meanings of the given word and marked option:
• Haughty- arrogantly superior and disdainful
• Arrogant- having or revealing an exaggerated sense of one's own importance or abilities
• ​Let's look at the meanings of the other given options: 
• Talkative- fond of or given to talking
• Quiet- making little or no noise
• Humble- having or showing a modest or low estimate of one's own importance
• ​Hence from the given meanings, we find that Haughty and Arrogant are synonyms.

The correct answer is- Ghetto.

Key Points

• Let's look at the meaning of the marked option:
• Ghetto- a part of a city, especially a slum area, occupied by a minority group or groups
  
• Let's look at the meanings of the other given options: 
• Metropolis- the capital or chief city of a country or region
  
• Suburb- an outlying district of a city, especially a residential one
• Colony- a group of people of one nationality or ethnic group living in a foreign city or country
• Hence, from the given meanings, we find that Ghetto is the correct one-word substitute.

The correct answer is- Firecrackers have seized by the government​.

Key Points

• The present perfect tense is a verb tense that shows an action or state that either occurred at an indefinite time in the past or began in the past and continued to the present time.
• The structure is given below:
• Subject + has/have + V3 + object. (active voice)
• Object + has/have + been + V3 + subject. (passive voice)
• ​Example:
• ​He has played some matches for the Indian Cricket team. (active voice)
• Some matches have been played by him for the Indian Cricket team. (passive voice)
• In the given blank, we need to follow the structure in the passive voice form as reflected by the usage of the preposition 'by'.
• Hence according to the rule given above, 'have been seized' is the most appropriate choice.
  

Correct Sentence: Firecrackers have been seized by the government went off while being defused on the banks of the river Ganga, in a town in West Bengal.

The correct answer is- you’d better pay.

Key Points

• We use 'had better' to refer to the present or the future, to talk about actions we think people should do or which are desirable in a specific situation.

• The verb form is always had, not have. We normally shorten it to ’d better in informal situations.

• It is followed by the infinitive without to i.e. bare infinitive.

• ​Example:

• ​​I’d better to go now before the traffic gets too bad.

• I’d better go now before the traffic gets too bad.

• In the underlined part of the given question, 'you’d better pay' will be used as per the rule given above.
  

Correct Sentence: I think you’d better pay online immediately as you may not get time to visit the bank later on during the day.

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Additional Information  

• ​Let's have a look at the modal formations given below:

• Can/could not help + V1 + ing

• Can/could not help + but + V1​

• ​Both of the phrases mean to have a compulsion to do something that is too strong to ignore or avoid.

• ​Example:

• ​​My cousin can't help but meddling in my life.

• My cousin can't help but meddle in my life.

The correct answer is - Diferently.

Key Points

• Let's look at the correct spelling and meaning of the marked option:
• Differently- in a way that is not the same as another or as before (एक तरह से जो दूसरे या पहले जैसा नहीं है)
• Example: 
• He didn't really behave any differently around her than with anyone else.
• Let's look at the meanings of the other given options:
• Evidently- plainly or obviously; in a way that is clearly seen or understood (स्पष्ट रूप से या स्पष्ट रूप से; एक तरह से जो स्पष्ट रूप से देखा या समझा जाता है)
• Accidentally- by chance; inadvertently (इत्तिफ़ाक़ से; अनजाने में)
• Prudently- in a way that shows care and thought for the future (एक तरह से जो भविष्य के लिए देखभाल और विचार दिखाता है)

The correct answer is - CDBA.

Key Points

• While arranging the parts of the passage, we should find some grammatical or contextual connections between them:
• Sentence C introduces us to the film 'Summer with Rana'. It is the introductory sentence and will be put in the first place.
• Sentence D tells us about the subject which the above-mentioned movie is based on i.e. Suzan. It will be put in second place.
• Sentence B tells us about another character i.e. Rana who lives in a nearby refugee camp. It will be put in third place.
• The last sentence is A as it mentions the bond between the protagonist and her grandmother.
  
• Thus, the correct order is - CDBA

The correct answer is- Refined.

Key Points

• Let's look at the meanings of the given word and marked option:
• Coarse- rough or loose in texture or grain. (बनावट या अनाज में खुरदरा या ढीला)
• Refined- with impurities or unwanted elements having been removed by processing. (प्रसंस्करण द्वारा हटाए गए अशुद्धियों या अवांछित तत्वों के साथ)
• ​​Let's look at the meanings of the other given options: 
• Colourful- having much or varied color; bright. (अधिक या विभिन्न रंग है; उज्ज्वल)
• Vulgar- lacking sophistication or good taste; unrefined. (परिष्कार या अच्छे स्वाद की कमी; अपरिष्कृत)
• Common- occurring, found, or done often; prevalent. (अक्सर होने वाला, पाया या किया हुआ; प्रचलित)
• Hence from the given meanings, we find that Coarse and Refined are antonyms.
  

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Additional Information  

• Let's look at the antonyms for the given word:-
• Antonyms- cultivated, cultured, polished.

The correct answer is- Heart-wrenching.

Key Points

• Let's look at the meaning of the marked option:
• Heart-wrenching- extremely sad or distressing
• Let's look at the meanings of the other given options: 
• Heart-to-heart- (of a conversation) candid, intimate, and personal
• Heart-stopping​- thrilling; full of suspense
• Heart-searching- thorough, typically painful examination of one's feelings and motives
• Hence, from the given meanings, we find that Heart-wrenching is the correct one-word substitute.

The correct answer is - Privilige.

Key Points

• Let's look at the correct spelling and meaning of the marked option:
• Privilege- a special right, advantage, or immunity granted or available only to a particular person or group
  
• Example: 
• Senior management enjoys certain privileges, such as company cars and health insurance.
• Let's look at the meanings of the other given options:
• Truism- a statement that is obviously true and says nothing new or interesting
  
• Mileage- a number of miles traveled or covered
• Gait- a person's manner of walking

The correct answer is- To be the last in a series of events leading one to feel that it is intolerable​​.

Key Points

• Let's look at the meaning of the given idiom:
• The straw that broke the camel’s back- the last in a series of bad things that happen to make someone very upset, angry, etc
• Example: 
• It had been a difficult week, so when the car broke down, it was the straw that broke the camel's back.
  

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Additional Information  

• Let's look at the origin of the idiom:
• According to Wikipedia, the straw that broke the camel's back is from an Arabic proverb about “how a camel is loaded beyond its capacity to move or stand”.
• It is a "reference to any process by which cataclysmic failure (a broken back) is achieved by a seemingly inconsequential addition, a single straw."

The correct answer is**-** step back.

Key Points​​

• ​Let's look at the meanings of the following phrasal verbs:
• step back- to stop doing something or being actively involved in something for a time
• step on- to place or press the foot on
• step up- to increase, augment, or advance especially by one or more steps
• step in- enter into an activity or situation
• As per the context of the sentence, Prince Harry and his wife decided to voluntarily leave their position as senior royals.
• The phrasal verb 'step back' will be the correct choice in the blank part of the sentence.
  

​Correct Sentence: Prince Harry and his wife, Megan Markle announced their decision to step back from their role as senior royals by leaving the United Kingdom and limiting their royal commitments.

The given cube is cut into smaller cubes of 1 cm each.

When painted on all six faces, the corner cubes are the only cubes with 3 green faces.

The number of corners for a cube = 8 (4 (front) + 4 (back))

Hence, the number of cubes with 3 green faces is 8.

Hence, the correct answer is "8".

From the given information:

Cost of each eraser = Rs. 5

Cost of each pen = Rs. 9

Total cost = Rs. 42

Let the number of erasers Mahira bought be x and the number of pens she bought be y.

Total cost of erasers = 5x

Total cost of pens = 9y

⇒ 5x + 9y = 42

Both x and y need to be integers as they represent the number of items.

From the options, the number of erasers Mahira bought (x):

1. 7

Substituting x = 7 in the equation:

5 × 7 + 9y = 42

35 + 9y = 42

9y = 42 - 35

9y= 7

y = 7 ÷ 9

y = 0.77, which is not an integer.

2. 8

Substituting x = 8 in the equation:

5 × 8 + 9y = 42

40 + 9y = 42

9y = 42 - 40

9y = 2

y = 2 ÷ 9

y = 0.22, which is not an integer.

3) 3

Substituting x = 3 in the equation:

5 × 3 + 9y = 42

15 + 9y = 42

9y = 42 - 15

9y = 27

y = 27 ÷ 9

y = 3, which is an integer.

4) 6

Substituting x = 6 in the equation:

5 × 6 + 9y = 42

30 + 9y = 42

9y = 42 - 30

9y = 12

y = 12 ÷ 9

y = 1.33, which is not an integer.

So, Mahira bought 3 erasers and 3 pens.

Hence, the correct answer is "3".

The given series is 

PA_A_AP_P_Y_PA_AY_

Sequentially filling the blanks with the letters given in the options:-

 

The pattern in the option (2) is PAPAYA / PAPAYA / PAPAYA.

Hence, the correct answer is "PYAAAPA".

The pattern followed is:-

A desert is a geographic feature of Earth that consists of sand.

Similarly,

An ocean is a geographic feature of Earth that consists of water.

Hence, the correct answer is "Ocean".

The pattern followed is:-

The second letter is the reverse letter of the first letter.

The fourth letter is the reverse letter of the third letter.

The sixth letter is the reverse letter of the fifth letter.

Options 2, 3 and 4 follow the same pattern, whereas option 1 is different.

Hence, the correct answer is "JPLNDW".

Symbols used to draw the family tree:-

Drawing the family tree,

So, Rukshana is the wife of Rehan.

Hence, the correct answer is "Wife".

The logic followed is:-

Middle number = (First number × Third number) ÷ 4

For the given set (12, 27, 9)

(First number × Third number) ÷ 4

12 × 9 ÷ 4

108 ÷ 4

27 = 27

Checking the options:-

1) (11, 21, 7)

(First number × Third number) ÷ 4

(11 × 7) ÷ 4

77 ÷ 4

19.25 ≠ 21

2) (5, 18, 8)

(First number × Third number) ÷ 4

(5 × 8) ÷ 4

40 ÷ 4

10 ≠ 18

3) (14, 21, 6)

(First number × Third number) ÷ 4

(14 × 6) ÷ 4

84 ÷ 4

21 = 21

4) (15, 52, 13)

(First number × Third number) ÷ 4

(15 × 13) ÷ 4

195 ÷ 4

48.72 ≠ 52

Hence, the correct answer is "(14, 21, 6)".

The mirror image formed when the mirror is held at the right side of the figure is:-

Hence, the correct answer is Option 2.

The paper when unfolded looks like:-

Hence, the correct answer is "Option 4".

The pattern followed is:-

Second Number = (First Number)² - 3

Third number = (First number)³ - 3

The given set is (7, 46, 340) = (7, 72 - 3, 73 - 3)

Checking the options:-

1) (4, 28, 68)

Second Number = (First Number)2 - 3

= 4² - 3

= 16 - 3

= 13 ≠ 28

Third number = (First number)3 - 3

= 4³ - 3

= 64 - 3

= 61 ≠ 68

2. (8, 68, 500)

Second Number = (First Number)2 - 3

= 8² - 3

= 64 - 3

= 61 ≠ 68

Third number = (First number)3 - 3

= 8³ - 3

= 512 - 3

= 509 ≠ 500

3) (15, 222, 3372)

Second Number = (First Number)2 - 3

= 15² - 3

= 225 - 3

= 222 = 222

Third number = (First number)3 - 3

= 15³ - 3

= 3375 - 3

= 3372 = 3372

4) (5, 22, 130)

Second Number = (First Number)2 - 3

= 5² - 3

= 25 - 3

= 22 = 22

Third number = (First number)3 - 3

= 5³ - 3

= 125 - 3

= 122 ≠ 130

Hence, the correct answer is "(15, 222, 3372)".

The logic followed here is:

 

In the same way,

 

Hence, the correct answer is "621141425".

The number of triangles in the given diagram are:

Triangles : ABH, AHG, GHE, BCH, CHD, HED, DEO, AHC, GHD, HDO, ACG, ADG, ADC, CGD

Hence, the total number of triangles is "14".

The pattern followed here is:

Similarly,

Hence, the correct answer is "MGHFU".

According to the information,

Angioplasty : Heart

Angioplasty is the treatment of unblocking of blood vessels especially in a coronary artery, which is in heart.

Similarly,

Dialysis : Kidney

Dialysis is the process of removing waste products and excess fluid from the body, this process is necessary when the kidneys are functioning.

Hence, the correct answer is "Kidney".

The pattern followed here is:

Make horizontal lines from both ends, then make a vertical line in a downward direction from the left end and a vertical line in the upward direction from the right end.

Hence, the correct answer is "Option 3".

The pattern followed here is,

Subtract 1 from every alphabet's place value.

In the same way,

Hence, the correct answer is "RKDDO".

The pattern followed here is,

Starting from the first letter of the given word, add 5, 4, 3, 2, 1 respectively.

In the same way,

Hence, the correct answer is "UEQFB".

According to the given information,

 

The given equation will be written as:

24 ÷ 4 × 12 + 14 - 10

Now, by using BODMAS rule,

24 ÷ 4 × 12 + 14 - 10

= 6 × 12 + 14 - 10

= 72 + 14 - 10

= 86 - 10

= 76

Hence, the correct answer is "76".

The pattern followed here is:

The difference between numbers is getting doubled.

Here, the wrong term is 30.

Hence, the correct answer is "30".

Let the 2 digit number be XY,

According to the given information,

The sum of the two digits of a number is 5,

So, X + Y = 5

If we add 9 to the number we get 50.

So, XY + 9 = 50

XY = 50 - 9

XY = 41

Since the sum is 4 + 1 = 5, it satisfies the equation X + Y = 5.

Hence, the correct answer is "41".

Given equation is → 2 ÷ 3 - 5 × 3 + 3 = 16

After replacing the signs from left to right and using the BODMAS rule,

Option 1 → ÷ → -, - → ÷, × → +, + → ÷

2 - 3 ÷ 5 + 3 ÷ 3 = 16

2 - 0.6 + 3 ÷ 3 = 16

2 - 0.6 + 1 = 16

3 - 0.6 = 16

2.4 ≠ 16

Option 2 → ÷ → ×, - → ÷, × → +, + → -

2 × 3 ÷ 5 + 3 - 3 = 16

2 × 0.6 + 3 - 3 = 16

1.2 + 3 - 3 = 16

4.2 - 3 = 16

1.2 ≠ 16

Option 3 → ÷ → +, - → ×, × → -, + → ÷

2 + 3 × 5 - 3 ÷ 3 = 16

2 + 3 × 5 - 1 = 16

2 + 15 - 1 = 16

17 - 1 = 16

16 = 16

Option 4 → ÷ → ×, - → +, × → ÷, + → -

2 × 3 + 5 ÷ 3 - 3 = 16

2 × 3 + 1.66 - 3 = 16

6 + 1.66 - 3 = 16

7.66 - 3 = 16

4.66 ≠ 16

Hence, the correct answer is "Option 3".

The logic followed here is:

All the given words Naughty, Creative and Sincere are Adjectives while Kids is a noun.

Hence, the correct answer is "Kids".

Additional Information

• Naughty - (comparative naughtier, superlative naughtiest). especially of children behaving badly; not willing to obey a naughty boy/girl.

         (humorous) I'm being very naughty—I've ordered champagne!

• Creative - having the quality or power of creating. resulting from originality of thought, expression, etc.; imaginative: creative writing. Originative, productive (usually followed by of).
• Sincere - (sincerest) 1(of feelings, beliefs, or behavior) showing what you really think or feel synonym genuine a sincere attempt to resolve the problem sincere regret Please accept our sincere thanks.
• Kid - noun, Informal. a child or young person. Used as a familiar form of address.

Venn diagram according to the given information is:

Quadrilateral, Rectangle, and Square.

From the Venn diagram.

All the rectangle are quadrilateral.

All the squares are rectangles.

This is because A rectangle is a quadrilateral with four right angles and A square is a special type of rectangle because it possesses all the properties of a rectangle.

Here (c) represents Square, (b) represents Rectangle, and (a) represents Quadrilateral.

Hence, the correct answer is "Option 4".

Additional Information

• A rectangle is a quadrilateral with four right angles. Thus, all the angles in a rectangle are equal (360°/ 4 = 90°). Moreover, the opposite sides of a rectangle are parallel and equal, and diagonals bisect each other.
• A square is a special type of rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90∘ each. opposite sides that are parallel and equal.

The least possible Venn diagram for the given statements is as below,

Conclusions:

i). All dogs are animal → False (It is clear from the given statement that some dogs are animals but we can't say about all dogs are animals or not. It is possible but not definite).

ii). All animals are cat → False (It is clear from the given statement that all the cats are animals but we can't say that all the animals are cats. It is possible but not definite).

Hence, the correct answer is "Neither conclusion (i) nor (ii) follows"

 

Suppose for an Example: All A are B.

If we go from In to Out means from A to B then cases with All and some will be true like All A are B and Some A are B.

But if we go Out to In then only cases with Some will be true and All will be can't say like Some B are A will be true but All B are A will be can't say.

As we can see the given figure is embedded in Option 3. 

Hence, the correct answer is "Option 3".

Given:

The average weight of A, B, and C = 55kg

C is 10 kg more than A 

C is 5 kg more than B

D is 19 kg more than C

Formula Used:

Average = Total sum of subjects/Number of Subjects

Calculation:

∴ A + B + C /3 = 55

∴ A + B + C = 165      ------(1)

We have given 

C = A +10 

∴ A = C - 10

and C = B + 5

∴ B = C – 5

Putting values of A and B in equation (1)

(C – 10) + (C – 5) + C = 165

⇒ 3C - 15 = 165

⇒ 3C = 180

⇒ C = 180/3 = 60

D = C + 19 = 60 + 19 = 79

Average of A, B, C, and D = A + B + C + D/4

⇒ (165 + 79) /4

⇒ 244/4 = 61kg.

Given:

secθ + tanθ = 2 +√5 

Formula Used:

if,secθ + tanθ = a

then secθ - tanθ = 1/a

sin²θ + cos²θ = 1

Calculation:

secθ + tanθ =  a      ------(1)

here a = 2 + √5 

∴$\frac{1}{a};$= $\frac{1}{{2 + \surd 5;}}$

⇒$\frac{1}{a};$= $\frac{1}{{2 + \surd 5;}}$ × $\frac{{2 - \surd 5}}{{2 - \surd 5}}$

⇒ $\frac{1}{a};$= $\frac{{√ 5 - 2}}{{5; - 4;}};;;$

⇒ $\frac{1}{a};$= $\frac{{√ 5 - 2}}{{1}};;;$

⇒ $\frac{1}{a};$= √5 - 2 

⇒ secθ - tanθ = √5  - 2      ------(2)

∴ Adding equation 1 and 2

⇒ 2secθ =2√5

⇒ secθ = √5

⇒ cosθ = 1/√5

⇒ sin2θ + cos2θ = 1

⇒ sin2θ + 1/5 = 1

⇒ sin2θ = 1 - 1/5

⇒ sin2θ = 4/5

⇒ sinθ = 2/√5

⇒ sinθ = $\frac{{2\sqrt 5 }}{5}$

Given:

Total number of cars produced = 40,00,000

B = 30% and E = 20%

Formula Used:

%difference production / % based production × 100

Calculation:

we have

100% = 40,00,000

∴ 1% = 40,00,000/100 = 40,000

Now we have to find,

Production of B is what % more than Production of E

∴ % difference production (B-E) / %production of E × 100

We have B = 30% and E = 20%

∴ (30-20)/20 × 100

∴ 10/20 × 100

⇒ 1/2 × 100 = 50%

Given:

simple interest= Rs.1,400

time = 4 years

Formula Used:

SI = P × T × R /100

Calculation:

Let the Rate = x

We know that,

SI = P × T × R /100

⇒ 672 = 1400 × 4 × x /100 + 1400 × 2 × x /100

⇒ 672 = 56x + 28x 

⇒ 672 = 84x

⇒ x = 672/84

⇒ x = 8

∴ Rate = 8%

Given:

length and the perimeter of a rectangle is 2 : 7

Formula Used:

Perimeter of a rectangle = 2(l + b)

Calculation:

Let the length and perimeter of a rectangle be 2x and 7x

We know that,

Perimeter of a rectangle = 2(l + b)

∴ 7x = 2(2x + b)

⇒ 7x = 4x + 2b

⇒ 7x - 4x = 2b

⇒ 3x = 2b

⇒ b = 3x/2

∴ Ratio of length and breadth = 2x : 3x/2

∴ Ratio of length and breadth = 4 : 3

Given:

∠A = 90°

 BM and CN are two medians.

Concept used:

Pythagoras theorem of triangles.

Calculation:

BM is median of triangle ABC.

So, M is midpoint of AC.

⇒ AM = 1/2 AC        .... (1)

NC is median of triangle ABC.

So, N is midpoint of AB.

⇒ AN = 1/2 AB    ....... (2)

ΔACN is a right angle triangle-angled at A.

So, CN² = AN² + AC²

⇒ CN² = (1/2 AB)² + AC²    ( From equation (1))

⇒ CN2 = AB²/4 + AC2    ...... (3)

ΔABM is a right angle triangle-angled at A.

So, BM2 = AM2 + AB2

⇒ BM2 = (1/2 AC)2 + AB2    ( From equation (1))

⇒ BM2 = AC2/4 + AB2     ..... (4)

ΔABC is a right angle triangle-angled at A.

So, BC² = AB² + AC²  .......(5) 

Adding equation (3) and (4),

CN² + BM² = AB2/4 + AC2 + AC2/4 + AB2

⇒ CN2 + BM2 = (AB² + AC²)/4 + AB² + BC²

⇒ CN2 + BM2 = 5BC²/4              (From equation 5)

⇒ (CN2 + BM²)/BC² = 5/4

 ∴ The value of (CN2 + BM2)/BC2 is 5/4.

Given:

$a + \frac{1}{a} + 2 = 0$

Concept Used :

( a + b )² = a² + b² + 2ab 

Calculation:​

​$a; + ;\frac{1}{a}; + 2 = 0$

⇒ a² + 1 + 2a = 0

⇒ (a + 1)² = 0

⇒a = - 1, -1

a¹⁵ - 1/(a¹⁰⁰) = ( - 1)¹⁵ - 1/( - 1)¹⁰⁰

⇒ -1 - 1

⇒ - 2

**∴ the value of a15 - 1/(a100) is -2.**​

Given: 

Two type data is given one is admitted student in college and one is passed out student in college.

Formula used:

Average = (sum of observation)/(total numbers of observations)

Calculation:

Number of students admitted in the year 2012 = 800

Number of student passed out in 2013 = 1000

Number of student passed out in 2014 = 1000

The average number of students passed out in the years 2013 and 2014 = (1000 + 1000)/2

⇒ 1000

The ratio of the number of students admitted in the year 2012 to the average number of students passed out in the years 2013 and 2014 = 800/1000

⇒ 4/5

⇒ 4 ∶ 5

∴ The  ratio of the number of students admitted in the year 2012 to the average number of students passed out in the years 2013 and 2014 is 4 ∶ 5.

Given : 

Total number of cars produced = 40,00,000

Diesel cars = 45%

Concept Used:

Percentage formula used.

Calculation: 

Percentage of petrol cars = (100 - 45)% = 55%

Number of petrol cars were produced = 55% of 4000000

⇒ (55 × 4000000)/100

⇒ 2200000

⇒  22 Lakh

∴ 22  Lakh petrol cars were produced.

Given : 

$75\frac{3}{5} \div \left[ {15 \div 3\ of\ 5 + 7 \div \frac{1}{{14}} - \left( {78 \div 3\frac{1}{3}} \right)} \right]$

Concept Used:

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

   

Calculation :

$75\frac{3}{5} \div \left[ {15 \div 3\ of\ 5 + 7 \div \frac{1}{{14}} - \left( {78 \div 3\frac{1}{3}} \right)} \right]$

⇒  $75\frac{3}{5};; \div \left[ {15; \div 3\ of\ 5 + 7; \div \frac{1}{{14}}; - \left( {78;; \div ;\frac{{10}}{3}} \right)} \right]$  

⇒ $7\frac{3}{5};;5 \div \left[ {15; \div 3\ of\ 5 + 7; \div \frac{1}{{14}}; - \frac{{117}}{5}} \right]$

⇒ $75\frac{3}{5};; \div \left[ {15; \div 15 + 7; \div \frac{1}{{14}}; - \frac{{117}}{5}} \right]$

⇒ $75\frac{3}{5};; \div \left[ {99 - \frac{{117}}{5}} \right]$

⇒ $75\frac{3}{5};; \div \frac{{378}}{5}$

⇒ $\frac{{378;}}{5}; \div \frac{{378}}{5}$

⇒  1     

∴ The value of  $75\frac{3}{5} \div \left[ {15 \div 3\ of\ 5 + 7 \div \frac{1}{{14}} - \left( {78 \div 3\frac{1}{3}} \right)} \right]$ is 1.

Formula used:

a² - b² = (a + b)(a – b)

a³ – b³ = (a – b)(a² + b² + ab)

Calculation:

⇒ (2⁹ – 1)(2⁹ + 1) 

⇒ [(2³)³ – 1)(2⁹ + 1)]    

⇒ [(2³ – 1)(2⁶ + 1 + 2³)(2⁹ + 1)]

⇒ [(8 – 1)(64 + 1 + 8)(2⁹ + 1)]

⇒ [(7) × (73) × (2⁹ + 1)]

Since, 7 is one of the factor of 2¹⁸  - 1

∴ It will be divisible by 7.

Given:

Marked price of table(MP) = Rs. 6000

Selling price of table(SP) = Rs. 5520

Formula used:

Discount = Marked Price – Selling Price

Discount% = (MP – SP)/MP × 100

Calculation:

Discount = 6000 – 5520 = 480

Discount% = 480/6000 × 100

⇒ 8%

∴ The rate of discount allowed on the marked price of the table is 8%

Given:

A and B can do a work in 12 days.

B and C can do it in 15 days

C and A can do it in 20 days

Calculation:

Work done by A and B in 1 day = 1/12      ….(i)

Work done by B and C in 1 day = 1/15      ….(ii)

Work done by C and A in 1 day = 1/20      ….(iii)

Adding (i), (ii) and (iii) we get

Work done by 2(A + B + C ) = 1/12 + 1/15 + 1/20

⇒ (5 + 4 + 3)/60 = 12/60 = 1/5

⇒ Work done by 1 × (A + B + C ) = (1/5) × 1/2 

⇒ Work done by A, B & C in 1 day = 1/10.

∴ A, B and C together can complete the work in 10 days

Given:

α + β = 90°  

α = 2β

Calculation:

2β + β = 90°

⇒ 3β = 90°

⇒ β = 30°  

∴ α = 60°  

Put α = 60° and β = 30° in the given equation, cos²α + sin²β

⇒ cos²60° + sin²30°

⇒ (1/2)² + (1/2)²

⇒ 1/4 + 1/4 = 1/2  

∴ The correct answer is 1/2.

Important Points

Given:

Diameter of circle = 26 cm

Radius OA = 13 cm

Length of chord AB = 10 cm

Concepts used:

Perpendicular drawn from the centre of the circle to the chord, bisects the chord.

Calculation:

AC = AB/2 = 10/2 = 5 cm ….(⊥ drawn from the centre of the circle, bisects the chord)

Using Pythagorean Theorem,

OA² = OC² + AC²

⇒ 13² = OC² + 5²

⇒ 169 = OC² + 25

⇒ OC² = 144

⇒ OC = 12 cm

∴ The perpendicular distance of the chord from centre is 12 cm.

Given :

 AB = AC

∠A = twice the sum of other two angles of the triangle

Concept Used:

Sum of all angle in a triangle is 180° .

Opposite angle of equal side is also equal.

Calculation:

∠A = twice the sum of other two angles of the triangle.

So, ∠A = 2(∠B + ∠C)      ......(1)

AB = AC

So, ∠B = ∠C       (Opposite angle of equal side is also equal)

We know that Sum of all angle in a triangle is 180° .

∴ ∠A + ∠ B + ∠C = 180° 

⇒  2(∠B + ∠C) + ∠ B + ∠C = 180° 

⇒ 3(∠B + ∠C) =  180° 

⇒ (∠B + ∠C)  = 60°

 $\frac{1}{2}$ ∠A = 2(∠B + ∠C) /2 = (∠B + ∠C) = 60°

⇒  $\frac{1}{2}$ ∠A = (∠B + ∠C)

⇒  $\frac{1}{2}$ ∠A =  60°

∴The measure of $\frac{1}{2}$ ∠A is 60°.

Given:

$x + \frac{1}{x} = ;\surd 3$

Calculation:

Taking cube both side of the equation,

${x^3} + ;\frac{1}{{{x^3}}}; + ;3x × \frac{1}{x}\left( {x; + ;\frac{1}{x}} \right) = 3\sqrt 3$

⇒ ${x^3} + ;\frac{1}{{{x^3}}} + 3\sqrt 3 = 3\surd 3$

⇒ $\frac{{{x^6} + 1}}{{{x^3}}}; = ;0$

⇒ x⁶ + 1 = 0

⇒ x⁶ = - 1

x18 + x12 + x6 + 1

⇒ x¹²(x⁶ + 1) + (x6 + 1)

⇒ x¹² × 0 + 0

⇒ 0

∴ The value of x18 + x12 + x6 + 1 is 0.

Given : 

xcosθ - ysinθ = 2 

xsinθ + ycosθ = 4 

Formula used: 

sin²θ + cos²θ = 1

(a + b)² = a² + b² + 2ab

Calculation: 

xcosθ - ysinθ = 2 

On squaring we get,

⇒ x²cos²θ + y²sin²θ – 2(xcosθ)(ysinθ) = 4      ….(i)

xsinθ + ycosθ = 4 

On squaring we get,

⇒ x²sin²θ + y²cos²θ + 2(ycosθ)(xsinθ) = 16      ….(ii)

On adding eqns (i) and (ii)

⇒ x²cos²θ + y²sin²θ – 2(xcosθ)(ysinθ) + x²sin²θ + y²cos²θ + 2(ycosθ)(xsinθ) = 4 + 16

⇒ x²(cos²θ + sin²θ) + y²(sin²θ + cos²θ) = 20

⇒ x² + y² = 20

∴ The correct answer is x² + y² = 20

Given:

4a + 1/5a = 4

Formula used:

(a + b)² = a² + b² + 2ab

Calculation:

Multiply the given equation by 5/4

5/4(4a + 1/5a) = 5/4(4)

⇒ 5a + 1/4a = 5

Squaring both sides, we get

⇒ (5a + 1/4a)² = 5²

⇒ 25a² + 1/16a² + 2(5a)(1/4a) = 25

⇒ 25a² + 1/16a² + 5/2 = 25

⇒ 25a² + 1/16a² = 25 – 5/2

⇒ 25a² + 1/16a² = 45/2

∴ The correct answer is 45/2

In 2010 pass percentage = 4/6 × 100 = 66.67%

In 2011 pass percentage = 6/10 × 100 = 60%

In 2012 pass percentage = 6/8 × 100 = 75%

In 2013 pass percentage = 10/14 × = 71.43%

In 2014 pass percentage = 10/12 × = 83.33%

∴ In 2014 pass percentage is between 80 and 85 which is 83.33%

Given:

The profit made by selling an article for Rs. 8,800 is equal to the amount of loss incurred on selling the same article for Rs. 7,200

Formula used:

Profit = selling price - cost price

Profit%  = Profit × 100/cost price.

Calculation:

let cost price be Rs. X

According to the question:

(8800 - X) = (X - 7200)

⇒ 16000 = 2X

⇒ X = 8000

if sp = 9,600

Then, Profit = selling price - cost price

⇒ Profit = 9600 - 8000 = Rs.1600

∴ Profit % = Profit × 100/cost price

⇒ Profit = (1600 × 100)/8000 = 20 %

∴ The profit percent is 20 %

Given: 

Rotten apples = 10%

Remaining sold good apples = 85%

good apples = 405

Calculation:

let he had originally be X apples.

According to the question:

∴ Rotten apples = (X × 10%) =10X/100

⇒ Rotten apples = X/10

Again,

sold apples = 85% 0f (X – X/10)

⇒ [(85/100) × (9X/10)] = 153X/200

Now,

(X/10 + 153X/200 + 405) = X

⇒ (20X + 153X + 81000)/200 = X

⇒ 173X + 81000 = 200X

⇒ 200X – 173X = 81000

⇒ 27X = 81000

⇒ X = 81000/27

⇒ X = 3000

∴ He originally had 3000 apples.

Given:

Speed = 12 km/hr.

And after every km, A takes rest for 3 minutes.

Formula used:

Time = Distance/Speed

Concept used:

Time taken to cover the last 1 km distance will not include the rest time as the entire distance has been covered.

Calculation:

According to the question:

Time taken to cover 1 km distance = Distance/Speed

⇒ Time = 1/12 hr. = (1/12 × 60) = 5 min.

Including rest time, time taken to cover 1 km distance = (5 + 3)min = 8 min.

Time taken to cover 5 km distance = (5 × 8) min. = 40 min.

And time taken to cover 6 km distance = (40 +1 × 5) min. 

⇒ 40 + 5 = 45 min.

∴ Time A will take to cover a distance of 6 km is 45 minutes.

Given:

O is the centre of a circle of radius 29 cm, OP ⊥ AB, OQ ⊥ CD and AB is parallel CD.

And AB= 40 cm, CD = 42 cm

Concept used:

perpendicular from the centre bisects the chord.

Formula used:

Pythagoras theorem:

(hypotenuse) ² = (perpendicular)² + (base)²

Calculation:

AP = 20 cm, CQ = 21 cm.

according to the figure:

In right angled triangle APO and OQC

Pythagoras theorem;

⇒ OA² = OP² + PA²

⇒ 29² = OP² + 20²

⇒ 841 = OP² + 400

⇒ 0P² = 441

⇒ OP = 21 cm.

Again,

⇒ OC2 = OQ2 + CQ2

⇒ 292 = OQ2 + 212

⇒ 841 = OQ2 + 441

⇒ 0Q2 = 400

⇒ OP = 20 cm.

PQ = OP + OQ

⇒ PQ = 21 + 20 = 41 cm

∴ length of PQ is 41 cm.

Hint

 Chords AB and CD are parallel, P-O-Q is a straight line.

Given:

8 pens and 3 pencils cost is equal to 3 pens and 9 pencils.

Calculation:

let the cost of one pen be Rs. X

∴  the cost of 8 pens = 8X 

and, the cost of 3 pens = 3X

Again, let the cost of one pencil be Rs. Y

∴ the cost of 3 pencils = 3Y

and, the cost 9 pencils = 9Y

According to question: 

8X + 3Y = 3X + 9Y

⇒ 8X - 3X = 9Y - 3Y

⇒ 5X = 6Y

⇒ X/Y = 6/5

⇒ X : Y = 6 : 5

∴ the ratio of the cost of one pen to the cost of one pencil is 6 : 5.

The correct answer is 1526.

• In 1526, Babur defeated Ibrahim Lodi at Panipat and captured Delhi and Agra.
• This is called The first battle of Panipat.
• Babur, a Central Asian ruler and a descendant of the Mongol conqueror Genghis Khan invaded India and defeated the Lodi Empire of Northern India.
• Babur was invited by Daulat Khan Lodi to defeat Ibrahim Lodi.
• The battle of Panipat was between the armies of Babur and Ibrahim Lodi.
• Ibrahim Lodi was defeated in the battle and he died in battle along with 15,000 soldiers.
• Babur won the war and his troops occupied both Delhi and Agra, and the Mughal empire was started.

Additional Information

• Important battles:

The correct answer is 1908.

• Kaziranga National Park is located in the Golaghat and Nagaon districts of Assam.
• The popular national park is also a UNESCO World Heritage Site.
• Two-thirds of the world's Great One-horned Rhinoceroses live in the park.
• The national park is also recognized as an Important Bird Area (IBA) making it not only an ideal wildlife sighting destination in India.
• In 1908, Kaziranga was designated a "Reserve Forest".

​

  

National Park

• There are 106 National parks in India.
• First national park in India-  Jim Corbett National Park (previously known as Hailey National Park).
• No human activity/rights allowed except for the ones permitted by the Chief Wildlife Warden of the State.
• It covered a 1.23 percent geographical area of India.
• Recently in July Assam government decided to upgrade the Dehing Patkai Wildlife Sanctuary into National Park.

The correct answer is Alt + G.

Key Points

 In Microsoft Office 2016, shortcut keys for various functions are as follows:

The correct answer is CCl2F2.

• Dichlorodifluoromethane is an inert synthetic gas that is non-reactive, non-toxic, and a gas at room temperature.
• It belongs to a family of compounds called the chlorofluorocarbons that consist of carbon, chlorine, and fluorine atoms in varying arrangements.
• Its chemical formula is CCl2F2.
• It is made by reacting carbon tetrachloride with hydrogen fluoride gas in the presence of a catalyst, usually antimony pentafluoride.
• Dichlorodifluoromethane is used as a refrigerant gas in refrigerators and air conditioners.
• It is also used in aerosol sprays, in plastics, and as an aid in detecting leaks.

  

The correct answer is 2006.

Key Points

• The Ramnath Goenka Excellence in Journalism Awards (RNG Awards) is one of the most prestigious awards in India in the field of journalism.
• Instituted in 2006, the Awards honour journalists from print, broadcast, and digital media recognizing their strength of character and integrity while covering news in adverse circumstances.

The correct answer is Mizoram.

• The Chapchar Kut is a festival of Mizoram, India.
• It is the biggest and most important festival in Mizoram.
• Chapchar Kut literally means - a festival held during the period when the bamboos and trees that have been cut down are being awaited to dry to be burnt for jhumming.
• It is celebrated every year in the month of March after the completion of the Jhum cultivation.
• The festival has been estimated to have started in 1450–1700 A.D. in a village called Suaipui.
• The celebration was revived in the year 1962.

​

  

• Jhum cultivation is the process of growing crops by first clearing the land of trees and vegetation and burning them thereafter.
• The current Chief Minister of Mizoram is Mr. Lalduhoma and the current Governor of Mizoram is Mr. Hari Babu Kambhampati​.