SSC CHSL Previous Paper 8 (Held On: 4 July 2019 Shift 1) (Previous Year Paper)

The correct answer is 4) i.e. scenary.

• The correct spelling is scenery.
• Scarce: occurring in small numbers or quantities.
• Scanty: small or insufficient in quantity or amount.
• Scheme: a secret or underhand plan.

The correct answer is option 1) i.e. will be followed by.

• The given sentence is in passive voice and in passive voice third form of verb is used.
• Hence, 'will be followed' will be used.
• So, the correct sentence will be: The ceremony will be followed by tea and refreshments for the guests.

The correct answer is option 4) i.e. restricted.

• Accessible: able to be reached or entered.
• Restricted: an area where no one is allowed to enter. Hence, this is the most appropriate antonym of the given word.
• stressed: experiencing mental or emotional strain or tension.
• Attainable: Which can be achieved.
• Reachable: Which can be reached.

The correct answer is option 2) i.e. reject.

• Scrap: abolish or cancel (a plan, policy, or law).
• Reject: Dismiss or refuse something, it may be a plan or policy. Hence, this is the most appropriate synonym of the given word.
• Store: keep or accumulate (something) for future use.
  
• Hoard: accumulate (money or valued objects) and hide or store away.
• Save: keep and store up (something, especially money) for future use.

The correct answer is option 2) i.e. be outdated.

• Be an old hat: a thing which has been known for a long time but now has become boring and outdated.

The correct answer is option 2 i.e. cautious.

• hasty- done with excessive speed or urgency; hurried.
• reckless- heedless of danger or the consequences of one's actions; rash or impetuous.
• cautious- (of a person) careful to avoid potential problems or dangers.
• sudden- occurring or done quickly and unexpectedly or without warning.
• urgent- requiring immediate action or attention.

From above we can conclude that option 2 is the antonym of the given word and an appropriate answer.

The correct answer is option 3 i.e. adapt.

adopt- legally take (another's child) and bring it up as one's own.

change- make or become different.

adapt- make (something) suitable for a new use or purpose; modify.

prepare- make (something) ready for use or consideration.

Option 3 is contextually fits the meaning of the given sentence so this is the correct answer.

The correct answer is option 1 i.e. bilingual.

bilingual- speaking two languages fluently.

multilingual- having, or expressed in several languages

linguist - a person skilled in foreign languages. monolingual- a person who speaks only one language.

The correct answer is option 3 i.e. that grows.

'That' is a relative pronoun here that is used for the flowers and it is a plural noun so the verb used for it must be plural.

For making the sentence correct we need to replace GROWS with GROW.

The correct sentence will be-

The blue lotus is one of the most beautiful flowers that grow in her garden.

The correct answer is option 4 i.e. DBCA.

The sentence can not start with A and B because it is starting with a pronoun.

Sentence C is also talking about ( HIM) and we have to find the noun used for the HIM.

So sentence can start only with the D because it contains the Noun about which the sentence is talking.

So, the correct arrangement is DBCA.

The correct answer is option 3 i.e. to whom he had.

Appointment can be followed by multiple prepositions.

Eg: 1) I have an appointment with Ram. 

       2) I gave an appointment to Radha. 

       3) Please schedule an appointment for tomorrow. 

We have to use here with instead of to for making the sentence correct, since to is used when an appointment is given to someone.

The correct sentence will be- On Saturday Rahul visited his professor with whom he had an appointment.

The correct answer is option 3 i.e. ADBC.

Sentence can start only with A because all the other sentences contains the pronoun HE that is used for the GOPAL.

Here we have an series of morning schedule in which We have to keep D because after waking up he will put on track suit for going to have morning walk.

And this makes an arrangement of Option 3.

The correct answer is option 2 i.e. descended.

declined- (typically of something regarded as good) become smaller, fewer, or less; decrease.

descended- move or fall downwards.

collapsed- (of a structure) suddenly fall down or give way.

grounded- well balanced and sensible.

Option 2 is contextually fits the sentence and gives a proper meaning.

The correct answer is option 3 i.e. ninteenth.

nibble- take small bites out of.

nightingale- noted for its rich melodious song which can often be heard at night.

neither- not the one nor the other of two people or things; not either.

The is no word like ninteenth( nineteenth )

The correct answer is option 4 i.e. punish.

Avenge- inflict harm in return for (an injury or wrong done to oneself or another).

cheer-shout for joy or in praise or encouragement.

encourage- give support, confidence, or hope to (someone).

comfort- a state of physical ease and freedom from pain or constraint.

punish- inflict a penalty or sanction on.

Option D is the synonym of the given word.

The correct answer is: make money unfairly.

Key Points

• The idiom "feather your own nest" typically refers to someone who seeks to enrich themselves at the expense of others, often through unscrupulous or unfair means. (बेईमानी से पैसा कमाना)
• Example: There were suspicions that the treasurer was using the charity's funds to feather his own nest.
• The correct option, "make money unfairly", directly correlates with the implication of gaining personal financial benefit by inappropriate means.

Therefore, the correct answer is: make money unfairly.

The correct answer is option 1 i.e. navigate.

navigate- plan and direct the course of a ship, aircraft, or other forms of transport, especially by using instruments or maps.

travel- make a journey, typically of some length.

sail- a wind-catching apparatus attached to the arm of a windmill.

anchor- a heavy object attached to a cable or chain and used to moor a ship to the sea bottom.

Option A defines the written groups perfectly.

So, the option is correct.

• The correct answer is Option 2.
• The given sentence is in past tense so option 1 cannot be the answer as it is in present tense.
• If the active sentence is in past tense, was/were will be used in its passive form therefore, option 2 cannot be the answer.
• Option 4 cannot be the answer because the subject and object have been interchanged.
• Therefore, the only option that satisfies the condition is Option 2.

The correct answer is housed above the fourth floor

Key Points

• The given sentence intends to convey about the government order that all the coaching centres that do not have fire safety arrangements and are above the fourth floor will be shut down immediately
• Here, the adjective form of the word 'house', that is, 'housed' (meaning situated and established)should be used because we are talking about the feature or characteristic of the coaching centre that it is above the fourth floor
• On the other hand, the word 'housing'  can be used as either the verb or the noun form of the word 'house'

Thus the correct sentence is: The government has ordered that all the coaching centres without fire safety arrangements housed above the fourth floor be shut down immediately.

• The correct answer is Option 4.
• Given an active sentence is in interrogative form therefore interrogative will be changed to an assertive sentence. To change the sentence into an indirect sentence, a sentence in the present tense, change it into the corresponding past tense.
• 'Said to' will be changed to 'asked', 'can' will be changed to 'could', second person will be changed to first person.
• Therefore, all these conditions are satisfied by Option 4.

• The correct answer is Option 2 i.e. 'children'.
• As it is mentioned in the first sentence about going to the school, so women, men and people do not fit in the blank as we know that children go to the school. So the appropriate answer would be 'children'.

• The correct answer is Option 2 i.e. 'every'.
• Some day refers to an unspecified but specific day. We do not go to only on a specific day therefore this option cannot be the answer.
• Options 3 & 4 cannot be the answer because 'all' &  'whole' both are plural and follow the plural word 'days'.
• 'Every' determines a countable group(considered individually) which best fits in the blank. 'Every day' which means 'daily'.

• The correct answer is Option 3 i.e. 'makes'.
• The sentence is in the present tense so the verb should be in the present tense.
• The subject 'Lakshman' is in singular so the verb should be in singular i.e. 'makes'.

• The correct answer is Option 3 i.e. 'which'.
• As we are mentioning an object i.e. 'rocky steps' so the best option that fits the blank is 'which'.
• 'Who' cannot be the answer because we are not raising any question here.
• 'Who' & 'whom' refer only to people.

• The correct answer is option 2 i.e. 'nods'.
• Option 1 'salutes' means 'A formal gesture made in honor of someone or something'.
• Option 2 'nods' means 'to incline the head up and down as to indicate agreement'.
• Option 3 'wink' means 'To close one's eyes or to blink'.
• Option 4 'shakes' doesn't make any sense in the given blank.
• Therefore, the only option that fits the blank is 'nods'.

When folded, the transparent sheet will look like the below figure.

Hence, “option 1” is the correct answer.

Success is the result of Hard Work.

Similarly,

Punishment is the result of Crime.

Hence, “punishment” is the correct answer.

The steps in the process of employing a candidate are as follows:

1. Vacant post in organization
   

2. Inviting applications for post
   

3. Receiving Applications
   

4. Conducting written test and interviews
   

5. Job offer to selected candidates
   

6. Joining and on-the-job training

Hence, “1, 4, 2, 3, 5, 6” is the correct answer.

The triangles are as follows:

ABF, ACG, ADH, AEI, ABY, ACZ, ADA', AEB', AFY, AGZ, AHA', AIB', JOP, JNQ, JAI, JOK, JNL, JAM, JPK, JQL, JIM, TRV, UTW, JRT, RSV, TWI.

Hence, “26” is the correct answer.

The pattern is as follows:

1. QDDBCCN → T C Q M B C D N / T D Q M B C D C / T C Q M B N D N → Does not follow any pattern

2. QDCBNCC → T C Q M B C D N / T C Q M B C D N / T C Q M B C D N → Follows a pattern i.e., TCQMBCDN is repeated.

3. TDCBNCD → T C T M B C D N / T C Q M B C D N / T C Q M B D D N → Does not follow any pattern

4. QBCDNNC → T C Q M B C B N / T C Q M D C D N / T N Q M B C D N → Does not follow any pattern

Hence, “QDCBNCC” is the correct answer.

Figure X is embedded in the below option figure.

Hence, “option 1” is the correct answer.

Let the total amount with B be Rs. X.

After giving to C, remaining amount with A = Total amount of A – 11 = X

Total amount of A = X + 11

Given, Total amount of A + Total amount of B = 245

It means, X + 11 + X = 245

2X = 245 – 11 = 234

X = 117

Total amount that B has is Rs. 117

Hence, “117” is the correct answer.

The pattern followed here is:

4^th letter = 1^st letter + 3, 2^nd letter = 4^th letter + 3, third letter = 2^nd letter + 3

Hence, “RXBU” is the correct answer.

The pattern followed here is:

Hence, “295” is the correct answer.

The pattern followed here is:

53 × 9 = 477

Similarly,

39 × 9 = 351 = 351

Hence, “39 : 351” is the correct answer.

The least possible Venn diagram is as follows:

I. Some bats are crabs → False (it is possible but not definite).

II. No crab is ant → False (some ants are crabs)

III. No bat is crab → False (it is possible but not definite).

Here, I and III form a complementary pair.

Hence, “either conclusion I or III follows” is the correct answer.

We will use the below table of symbols to create a family tree.

The codes are as follows:

Given statement: P + Q ÷ C – D – L × J means P is the sister of Q who is the mother of C. C is the son of D who is the son of L. L is the husband of J.

The family tree is as follows:

In the above diagram, we can see that J is the mother of D whose wife is Q. So, J is the mother in law of Q.

Hence, “mother in law” is the correct answer.

349, 317, and 347 are prime numbers.

But 319 = 11 × 29. Therefore, 319 is a composite number.

Hence, 319 is the odd one among the given alternatives.

The pattern followed here is:

8, 9, 145 → 8² + 9² = 64 + 81 = 145

Similarly,

6, 7, 85 → 6² + 7² = 36 + 49 = 85

Hence, “6, 7, 85” is the correct answer.

Tailors, carpenters, and farmers are different types of professions/workers.

Hence, “Worker” is the odd one among the given options.

Given equation: 207 × 9 + 13 ÷ 26 – 301 = 60

1. • and ÷

207 × 9 ÷ 13 + 26 – 301

= 207 × 0.69 + 26 – 301

= 144.69 + 26 - 301

= -130.31 ≠ 60

2. × and ÷

207 ÷ 9 + 13 × 26 – 301

= 23 + 338 – 301

= 361 – 301

= 60

3. • and –

207 × 9 – 13 ÷ 26 + 301

= 1863 – 0.5 + 301

= 2164 - 0.5

= 2163.5 ≠ 60

4. • and ×

207 + 9 × 13 ÷ 26 – 301

= 207 + 9 × 0.5 – 301

= 207 + 4.5 – 301

= 211.5 – 301

= -89.5 ≠ 60

Hence, “× and ÷” is the correct answer.

Adjacent dots to 2 = 1, 6, 4, 3. Therefore, dot 2 is opposite to dot 5.

Adjacent dots to 6 = 1, 2, 3, 5. Therefore, dot 6 is opposite to dot 4.

Therefore, the remaining faces i.e. 1 and 3 will be opposite to each other.

Hence, when one dot is at the bottom the number of dots on the top will be 3.

The pattern followed here is:

Similarly,

Hence, “OOZK” is the correct answer.

The pattern followed here is:

Similarly,

Hence, “CHGTGYNN” is the correct answer.

Cucumber and Spices are a part of food.

Hence, “option 2” is the correct answer.

The pattern followed here is:

Every letter is coded by its positional value.

Similarly,

Hence, “1693202118519” is the correct answer.

The circle flips horizontally in each step.

The square flips vertically in each step. Also, it moves in the anticlockwise direction.

“Hence, “option 3” is the correct answer.

The mirror image of the question figure is as follows:

Hence, “option 4” is the correct answer.

The branch of science concerned with the study of fossils is called Paleontology.

Similarly, the branch of science concerned with the study of Plants is called Botany.

Hence, “Plants : Botany” is the correct answer.

The pattern followed here is:

Logic: (1st number + 3rd number) ÷ 4 = 2nd number.

Here, (94, 44, 82)

⇒ (94 + 82) ÷ 4

⇒ 176 ÷ 4 = 44.

Similarly, for (48, 31, 76)

⇒ (48 + 76) ÷ 4

⇒ 124 ÷ 4 = 31.

Hence, the correct answer is "Option 4".

Given:

CP of 3 articles is Rs.200 each

Total gain percentage on whole transaction = 20%

Calculation:

Total CP of 3 articles = 200 × 3 = 600

So, SP of all three articles = 600 × 120/100 = 720

SP of 1^st article = 200 – 200 × 10% = 180

CP of other 2 article = 400

SP of 2 other article = 720 – 180 = 540

Profit on 2 article = 540 – 400 = 140

Profit percentage of 2 article = (140/400) × 100 = 35%

∴ The gain percent on the two articles is 35%

Given:

x + y + z = 3 and xy + yz + zx = -18

Calculation:

x + y + z = 3

Squaring both sides

x² + y² + z² + 2(xy + yz + zx) = 9

⇒ x² + y² + z² + 2 × (-18) = 9

⇒ x² + y² + z² = 9 + 36 = 45

Now

x³ + y³ + z³ – 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx)

= 3 × [45 – (-18)] = 3 × 63 = 189

∴ x³ + y³ + z³ – 3xyz = 189

Topper's approach∶

Required income = 4800 ÷ (0.12 × 0.8) × 100 × 0.27 = 13500

Detailed solution∶

Let monthly income be E

According to question

E × 12% × 80% = 4800

⇒ E × (12/100) × (80/100) = 4800

⇒ E = 50000

∴ Monthly income of Sudha = 50000

∴ 27% of monthly income = 50000 × 27% = 50000 × 27/100 = 13500 rupees

In right angle ∆ ADB

$AD=\sqrt{{{8}^{2}}-{{4}^{2}}}=\sqrt{64-16}=\sqrt{48}=4\sqrt{3}$

In right angle ∆ADC

CD = 4 + 7 = 11 cm

AD = 4√3 cm

$AC = \sqrt {{{\left( {11} \right)}^2} + {{\left( {4\sqrt 3 } \right)}^2}} = \sqrt {121; + ;48} = \sqrt {169} = 13cm$

Given:

Annual rate = 8%

Since interest compounded half yearly

∴ r = 4% and time = 2 half yearly

Calculation:

Let the sum be P

P (1 + r/100)^t = 20280

⇒ P (1 + 4/100)² = 20280

⇒ P × 104/100 × 104/100 = 20280

⇒ P = 18750

Now,

P = 18750

Interest = 8 × 2 = 16%

Time = 23/5 year

Simple interest = (p × r × t)/100 = (18750 × 16 × 23)/(5 × 100) = 13800 rupees

Area of trapezium = 1/2 (sum of length of parallel sides) × height

⇒ 180 = 1/2 (10 + 20) × height

⇒ height = 12 cm

In right angle ∆ADE

$AD = \sqrt {{{\left( {12} \right)}^2} + {{\left( 5 \right)}^2}} = \sqrt {169} ; = ;13cm$

∴ Length of each non-parallel side = 13cm

Concept used:

Total work = Efficiency × Time

Calculation:

A can do 40% of a work in 6 days

∴ A can do 100% of the work in 15 days

B can do 30% of the same work in 3 days

∴ B can do 100% of the same work in 10 days

Total work = LCM of (15 and 10) = 30

Efficiency of A = 30/15 = 2

Efficiency of B = 30/10 = 3

Work done by A and B together in 2 days = 5 × 2 = 10

Remaining work = 30 – 10 = 20

Remaining work done by A = 20/2 = 10 days

∴ Total Number of days = 10 + 2 = 12 days

Calculation:

Let the distance be D km

Speed = Distance/Time = D/(45/60) = 60D/45 = (4D/3) km/h

The speed of train is reduced by 5 km/h

∴ New speed = (4D/3) – 5 = (4D – 15)/3 km/h

New time = 45min + 3min = 48min

48/60 × (4D – 15)/3 = D

⇒ 16 (4D – 15) = 60D

⇒ 4 (4D – 15) = 15D

⇒ 16D – 60 = 15D

⇒ D = 60

∴ The distance = 60 km 

Alternate Method

Given:

Time taken to cover a distance is 45 min

If speed reduced by 5 km/hr, so total time taken is (45 + 3) = 48 min

Concept used:

If distance is constant, then speed ∝ 1/time

Speed = Distance/Time

Calculation:

Let's assume that the initial speed is x km/hr

So, speed difference is (48 - 45) =3 unit → 5 km/hr

So, initial speed 48 unit → 5/3 × 48 = 80 km/hr

Now, in 60 min the train covers 80 km

So, in 45 min the train covers 80/60 × 45 = 60 km

∴ The distance is 60 km

Ratio of income of A and B = 5 : 3      …(1)

Ratio of expenditure of A and B = 9 : 5      …(2)

Since income of A is twice the expenditure of B

∴ Multiply eqn..(1) by 2

Now

Ratio of income of A and B = 10 : 6

Also Ratio of expenditure of A and B = 9 : 5

∴ Ratio of saving of A and B = 1 : 1

Concept used:

Calculation:

3 × 6 ÷ 4 of 6 – 6 ÷ 2 × (4 - 6) + 4 – 2 × 3 ÷ 6 of 1/3

⇒ 3 × 6 ÷ 4 of 6 – 6 ÷ 2 × -2 + 4 – 2 × 3 ÷ 6 of 1/3

⇒ 3 × 6 ÷ 24 – 6 ÷ 2 × -2 + 4 – 2 × 3 ÷ 2

⇒ 3 × 1/4 – 3 × -2 + 4 – 2 × 3/2

⇒ 3/4 + 6 + 4 – 3

⇒ 43/4 – 3

⇒ 31/4

⇒ 7$\frac{3}{4}$

Let shopkeeper has 400 article

Also let the cost price of article = 400 rupees

∴ MP = 400 + 400 × 25% = 500

MP of 1 article = 500/400 = 5/4

3/4 of the article = 400 × 3/4 = 300

SP of 300 article = 300 × 5/4 = 375

Remaining article = 100

SP of remaining article = 100 × 5/4 × 60/100 = 75

Total SP of 400 article = 375 + 75 = 450

Profit = 450 – 400 = 50

Profit percentage = (50/400) × 100 = 12.5%

Shortcut Trick

Let's assume that the shopkeeper has total article 4

Where 3 article sold at a profit of 25%

And the remaining one sold at [ 25 - 40 - (40 × 25)/100 ] = - 25%

So, shopkeeper's total gain

⇒ (3 × 0.25 - 1 × 0.25)/400 × 100 

⇒ 50/400 

⇒ 12.5%

8(a + b)³ + (a - b)³ = (3a + b) (Aa² + Bab + Cb²)

⇒ [2(a + b)]³ + (a – b)³ = (3a + b) (Aa² + Bab + Cb²)

⇒ (2a + 2b)³ + (a – b)³ = (3a + b) (Aa² + Bab + Cb²)

⇒ (2a + 2b + a – b) [4a² + 4b² + 8ab + a² + b² – 2ab – (2a² – 2b²)] = (3a + b) (Aa² + Bab + Cb²)

⇒ (3a + b) (3a² + 6ab + 7b²) = (3a + b) (Aa² + Bab + Cb²)

⇒ (3a² + 6ab + 7b²) = (Aa² + Bab + Cb²)

By comparing both sides

A = 3, B = 6 and C = 7

Now,

(A + B - C) = (3 + 6 – 7) = 2

∴ (A + B - C) = 2

Calculation:

[secθ (1 – sinθ) (secθ + tanθ)]/(secθ – tanθ)² = (1 + k)/(1− k)

⇒ (secθ – tanθ) (secθ + tanθ)/(secθ – tanθ) (secθ – tanθ) = (1 + k)/(1− k)

⇒ (secθ + tanθ)/(secθ – tanθ) = (1 + k)/(1− k)

By componendo and dividend

secθ /tanθ = 1/k

⇒ (1/cosθ)/(sinθ/cosθ) = 1/k

⇒ 1/sinθ = 1\k

∴ k = sinθ

Concept used:

When a number is divisible by 72 then it must be divisible by 8 × 9

When a number is divisible by 8 then its last 3 digit must be divisible by 8

Calculation:

5x2 is divisible by 8

When x = 5 or x = 9

We have to take greatest value of x

So x = 9

When a number is divisible by 9 then the sum of its digit must be multiple of 9

7 + 5 + y + 9 + 7 + 4 + 0 + 5 + 9 + 2 = 48 + y

So the possible value of y = 6

∴ 2x – y = 2 × 9 – 6 = 12

The expenditure of the company in 2017 = 275

Total revenue of the company in 2014, 2015 and 2016 = 260 + 300 + 340 = 900

Average = 900/3 = 300

The expenditure of the company in 2017 is less than the average revenue (per year) in 2014, 2015 and 2016 = 300 – 275 = 25

$Percentage;less = \frac{{25}}{{300}} \times 100 = 8\frac{1}{3}\%$

Total revenue of the company in 2015 and 2018 = 300 + 375 = 675

Total expenditure of the company in 2014 and 2018 = 225 + 300 = 525

Required ratio = 675 : 525 = 9 : 7

The total expenditure of the company from 2016 to 2018 = 320 + 275 + 300 = 895

the total revenue for the five year period = 260 + 300 + 340 + 350 + 375 = 1625

∴ Required percentage = (895/1625) × 100 = 55.07 = 55% approx.

Total revenue in 2014 = 260

Total revenue in 2015 = 300

Increase = 300 – 260 = 40

Percentage increase = (40/260) × 100 = 15.38%

Total revenue in 2015 = 300

Total revenue in 2016 = 340

Increase = 340 – 300 = 40

Percentage increase = (40/300) × 100 = 13.33%

Total revenue in 2016 = 340

Total revenue in 2017 = 350

Increase = 350 – 340 = 10

Percentage increase = (10/340) × 100 = 2.94%

Total revenue in 2017 = 350

Total revenue in 2018 = 375

Increase = 375 – 350 = 25

Percentage increase = (25/350) × 100 = 7.14%

∠ADC = 180° − 74° = 106°

∠BCD = 180° − 62° = 118°

In ∆ ADO,

∠O = 180° − (∠OAD + ∠ADC)

∴ ∠O = 180° − (62° + 106°) = 180° − 168° = 12°

In ∆ PAB

∠P = 180° − (∠PAB + ∠PBA) 

∴ ∠P = 180° − (62° + 74°) = 44°

∴ ∠P − ∠O = 44° − 12° = 32°

Given

∠BAC = 87° and ∠C = 42°

∠CAD = 87° − θ

Calculation:

In ∆ ADC

87° − θ + 42° + 90° = 180°

∴ θ = 39° 

In triangle ABD

⇒ ∠ABD = 180 - (90 + 39)  = 51°

Join AE

Since ACDE is a cyclic quadrilateral

∴ ∠ACD + ∠AED = 180°      ----(1)

We know that the angle made by diameter at the circumference of the circle is right angle.

⇒ ∠AEB = 90°      ----(2)

Adding equation (1) and equation (2),

∠ACD + ∠AED + ∠AEB = 180° + 90°

⇒ ∠ACD + ∠BED = 270°

Let the total number = 100

Average = 36 (given)

Total = 36 × 100 = 3600

75% of 100 = 75

Total increase in 75 numbers = 75 × 6 = 450

Total decrease in 25 numbers = 25 × -9 = 225

∴ Total increase in 100 numbers = 450 – 225 = 225

Now

Total = 3600 + 225 = 3825

Average = 3825/100 = 38.25%

Calculation:

cosec θ = 1.25 = 125/100 = 5/4 = h/p

$b = \sqrt {{5^2} - {4^2}} = \sqrt {25 - 16} = 3$

Now

$\frac{{4tan\theta - 5cos\theta }}{{sec\theta ; + ;4cot\theta }} = \frac{{4; \times ;\frac{4}{3} - 5; \times ;\frac{3}{5};}}{{\frac{5}{3}; + ;4; \times ;\frac{3}{4}}}; = ;\frac{{\frac{{16}}{3} - 3}}{{\frac{5}{3}; + ;3;}} = \frac{{\frac{7}{3}}}{{\frac{{14}}{3}}} = \frac{1}{2}$

x² – 6x + 1 = 0

Dividing both sides by x

x – 6 + (1/x) = 0

⇒ x + (1/x) = 6 …(1)

Cubing both sides

x³ + (1/x³) + {3(x + 1/x)} = 216

⇒ x³ + (1/x³)+ 3 × 6 = 216

⇒ x³ + (1/x³) = 216 – 18 = 198 …(2)

Now,

[{x4 + (1/x2)} ÷ (x2 + 1)]

Dividing both numerator and denominator by x

{x³ + (1/x³)} ÷ {x + (1/x)}

= 198/6 = 33

∴ [{x4 + (1/x2)} ÷ (x2 + 1)] = 33

Given

2 cos²θ = 3 sinθ

Put θ = 30°

2 × 3/4 = 3/2

⇒ 3/2 = 3/2 (satisfied)

Now

(cosec²θ – cot²θ + cos²θ)

⇒ (cosec²30° – cot²30° + cos²30°)

⇒ [(2)² – (√3)² + (√3/2)²]

⇒ 4 – 3 + 3/4

⇒ 19/4 – 3

⇒ 7/4

⇒ $1\frac{3}{4}$

The correct answer is option 2, i.e. The Vice President.

• Article 56 of the Indian Constitution makes it clear that the term of the President is five years from the date on which he enters the office.
• His term may terminate earlier
• (i) by resignation addressed to the Vice-President.
• (ii) by removal by impeachment for violation of the Constitution.

The correct answer option 1,i.e. microcomputers.

• A small computer that contains a microprocessor as its central processor is known as microcomputers.
• Desktop computers, laptop computers, tablets and smartphones are different types of microcomputers.
• Mainframes are a type of computer that generally is known for their large size, amount of storage, processing power and high level of reliability.
• A supercomputer is a mainframe computer that performs at or near the currently highest operational rate for computers.
• The fastest supercomputers in India are Pratyush and Mihir.
• A minicomputer is a type of computer that possesses most of the features and capabilities of a large computer but is smaller in physical size.

The correct answer is option 2, i.e. Malati Madhava.

The correct answer is option 1, i.e. Rajasthan.

• India is not a major producer of silver.
• Some Silver deposits found in various states in India, among them Rajasthan(87%) is number one.
• The other states are as follows:
• Jharkhand (5%)
• Andhra Pradesh (4%)
• Karnataka (2%)
• Zawar mines in Udaipur is the largest silver producing mine in the country.

The correct answer is option 4, i.e. Liquidity Coverage Ratio.

The correct answer is option 3,i.e. Purvanchal.

• The Purvanchal, also called the Eastern Highlands, mountain ranges in eastern India.
• They are extended over an area of about 37,900 square miles (98,000 square km) in Arunachal Pradesh, Nagaland, Manipur, Mizoram, Tripura, and eastern Assam states.
• The Patkai and other associated mountain ranges (including the Mishmi, Naga, Manipur, Tripura, and Mizo hills) that run through this region are collectively referred to as Purvachal (Purva, means “east,” and anchal, means “mountain”).
• The area is bounded by Bangladesh to the southwest, Myanmar (Burma) to the southeast, and China to the northeast.

The correct answer is option 2, i.e. Neyyar River.

• Neyyar river flows through Thiruvananthapuram district and it originates from Agastyarkoodam hills.
• It is a west-flowing river and empties into the Arabian sea.
• Its length is 56 Kms.
• Some tributaries of this river are Kallar, Mullayar, Karavaliyar, etc.
• The Neyyar wildlife sanctuary lies near this river.
• Neyyar dam is built across the Neyyar river.

The correct answer is option 2,i.e. Claude Shannon

• Claude Elwood Shannon is considered as the founding father of electronic communications age and he pioneered binary logic and arithmetic in computers programming.
• He is an American mathematical engineer, whose work on technical and engineering problems within the communications industry, laying the groundwork for both the computer industry and telecommunications.
• After Shannon noticed the similarity between Boolean algebra and the telephone switching circuits, he applied Boolean algebra to electrical systems at the Massachusetts Institute of Technology (MIT) in 1940.
• Later he joined the staff of Bell Telephone Laboratories in 1942. While working at Bell Laboratories, he formulated a theory explaining the communication of information and worked on the problem of most efficiently transmitting information.

The correct answer is option 2, i.e. Volodymyr Zelensky.

• Volodymyr Zelensky is a former comedian and TV star of Ukraine, who had no political experience.
• He won a landslide victory in Ukraine's presidential election in April.

The correct answer is option 4,i.e. 177.

• The 2018 Environmental Performance Index (EPI) finds that air quality is the leading environmental threat to public health.
• The tenth EPI report ranks 180 countries on 24 performance indicators across 10 issue categories covering environmental health and ecosystem vitality.
• Switzerland leads the world in sustainability, followed by France, Denmark, Malta, and Sweden.
• India's rank is 177th and China is on 120th position.

The correct answer is option 3,i.e. Kami Rita Sherpa.

• Nepali mountain guide Kami Rita Sherpa set a new record by climbing Everest a 23rd time.
• A guide for more than two decades, Sherpa first summited the 8,848-metre peak, the world’s highest, in 1994 while working for a commercial expedition.
• The 49-year-old has made 35 summits on five 8,000-metre peaks, including the world’s second-highest mountain, K2 in the Chinese-administered enclave of the Kashmir region within the Uygur Autonomous Region of Xinjiang, China, and partly in the Gilgit-Baltistan portion of Kashmir.

The correct answer is option 3,i.e. A K Sikri.

• Justice AK Sikri was recently appointed as the chairperson of the news broadcasting standards authority(NBSA) by the news broadcasters association(NBA).
• He was appointed as judge of the Delhi high court in 1999.
• He served as a chief justice of the Punjab and Haryana high court and acting chief justice of Delhi high court.
• He was also appointed as an international judge of the Singapore international commercial court.

the correct answer is option 3,i.e. Telangana.

• In a small town, 90 kilometres away from Hyderabad, Telangana, lives the Nakashi family protecting and propagating Cheriyal, an art form of painting scrolls for storytelling.
• The art is named after the town.
• The form was practised by the family and their ancestors since the 12th Century.

The correct answer is option 3, i.e. Pascal.

Concept:

Explanation:

From the above explanation, we can see that,

• The pascal is the SI derived unit of pressure used to quantify internal pressure, stress, Young's modulus and ultimate tensile strength.
• It is named after the French polymath Blaise Pascal.
• 1 pascal = 1 N m^-2

The correct answer is option 1,i.e. 

• The Second Shanghai Cooperation Organization (SCO) Mass Media Forum is being held at Bishkek, Kyrgyzstan from 23-26 May, 2019.
• A Delegation from I&B Ministry comprising of Shri TVK Reddy, Addl. Director General and Shri Ankur Lahoty, Asst. Director is representing India at the Forum.
• The Forum was inaugurated by the President of Kyrgyz Republic Mr. S. Jeenbeko.
• The President in his inaugural address highlighted the importance of Mass Media organizations of SCO countries in accomplishing the SCO objectives of mutual trust, friendly relations with neighbors and regional security in line with the “Shanghai Spirit”.

The correct answer is solution 4, i.e. Gymnosperms.

• Gymnosperms are the flowerless plant that produces cones and seeds.
• The term gymnosperm literally means "naked seed," as gymnosperm seeds are not encased within an ovary. Rather, they sit exposed on the surface of leaf-like structures called bracts.
• Gymnosperms are vascular plants of the sub kingdom Embyophyta and include conifers, cycads, ginkgoes, and gnetophytes.
• Some of the most recognizable examples of these woody shrubs and trees include pines, spruces, firs, and ginkgoes.
• Gymnosperms are abundant in temperate forest and boreal forest biomes with species that can tolerate moist or dry conditions.
• Bryophyte, the traditional name for any nonvascular seedless plant—namely,
• mosses (division Bryophyta),
• hornworts (division Anthocerotophyta),
• liverworts (division Marchantiophyta).
• Most bryophytes lack complex tissue organization, yet they show considerable diversity in form and ecology. They are widely distributed throughout the world and are relatively small compared with most seed-bearing plants.
• Angiosperm, any of about 300,000 species of flowering plants, the largest and most diverse group within the kingdom Plantae. Angiosperms represent approximately 80 per cent of all the known green plants now living. The angiosperms are vascular seed plants in which the ovule (egg) is fertilized and develops into a seed in an enclosed hollow ovary.  eg- Mango, Lemon etc.
• Hydrophytes are aquatic plants that are especially suited for living in aquatic environments. eg- Potamogeton crispus , Ceratophyllum and Hydrilla

The correct answer is option 4, i.e. Sachin Tendulkar

• Leander Paes and Mahesh Bhupathi are the well-known Indian tennis player.
• Kapil Dev and Sachin Tendulkar are the famous Indian cricketer.

The correct answer is option 2, i.e. Jamaat-ul-Mujahideen Bangladesh.

• The Jamaat-ul-Mujahideen Bangladesh also called as Jamaat-ul-Mujahideen India or Jamaat-ul-Mujahideen Hindustan has been declared as a banned terrorist organisation by the Home Ministry in May 2019
• All its manifestations have been inserted in the First Schedule to the Unlawful Activities (Prevention) Act, 1967.

The correct answer is option 2,i.e. N K Singh.

• The Finance Commission is a constitutional body, that determines the method and formula for distributing the tax proceeds between the Centre and states, and among the states as per the constitutional arrangement and present requirements.
• Under Article 280 of the Constitution, the President of India is required to constitute a Finance Commission at an interval of five years or earlier.
• The Finance Commission has a chairman and four members appointed by the President.
• In November 2017, President of India constituted the 15th Finance Commission and appointed former Planning Commission Member N K Singh as its chairman.
• The First Finance Commission was constituted under the chairmanship of Shri K.C. Neogy on 6th April 1952.

The correct answer is option 1,i.e. Peter Gilchrist.

• Peter Gilchrist won the 2019 Pacific International Billiard Championship.
• The runner up was Sourav Kothari.
• This championship held in Melbourne, Australia.

The correct answer is Afzal Khan.

• Afzal Khan was the general of the Adil Shahi dynasty of Bijapur.
• Present-day Karnataka was known as Bijapur.
• He fought against Chhatrapati Shivaji in the Battle of Pratapgarh in 1659.

Important Points

• Battle of Pratapgarh:
• A meeting was arranged between Shivaji and Afzal Khan at a shamiyana at the foothills of Pratapgad.
• Nevertheless, both were prepared for treachery: Afzal Khan hid a katyar (a small dagger) in his coat, and Shivaji wore armor underneath his clothes and carried a concealed Baghnakha (tiger claw) in one hand.
• Shivaji used his “bagh Nakh” (tiger claws) to slash Khan’s stomach and disemboweled Khan.

The correct answer is option 4,i.e. Karnataka.

• Ibrahim Sutar, known as Kannada Kabir.
• He  was born at Mahalingapura in Mudhol taluk in Bagalkot district in 1940.
• He set up Harmony Folk Music Mela, a team of artists in 1970.
• He is known for spreading social and communal harmony through his songs and bajanas for the last 40 years in Karnataka and neighbouring states.
• He used funds collected at his performances and organised social welfare programmes including yoga sessions, set up tanks in villages and built classrooms to government schools.
• He won Padma Shri award in 2018.

The correct answer is option 3, i.e. Rajkumari Amrit Kaur

• Rajkumari Amrit Kaur was born in 1889 in a royal family in Lucknow.
• She was graduated from Oxford University.
• She co-founded the All India Woman’s Conference in 1927.
• She participated in the Dandi March movement in 1930.
• She held the post of Health Minister in the Prime Minister’s cabinet after the Independence and became the first Health Minister of independent India.
• She also became the first female and first Asian president of the World Health Assembly in 1950.
• The establishment of the All India Institute of Medical Sciences (AIIMS) was initiated by her and she served as its first president.
• She was the Chairperson of the Indian Red Cross for fourteen years.
• She also worked as an activist to reduce illiteracy and eradicate child marriage.

The correct answer is option 1,i.e. Mumps.

• Mumps is a viral infection that primarily affects saliva-producing (salivary) glands that are located near ears.
• Mumps can cause swelling in one or both of these glands.
• Mumps is an airborne disease and can be spread by an infected person coughing or sneezing and releasing tiny droplets of contaminated saliva, which can then be breathed in by another person.
• Hepatitis, Cholera and Typhoid are waterborne diseases.

The correct answer is option 2,i.e. Shikhar Dhawan.