SSC CGL Previous Paper (Held On: 8 August 2017 Shift 3) (Previous Year Paper)

‘Empty’ is synonym of ‘Vacant’ similarly, ‘Scarcity’ is synonym of ‘Dearth’.

Hence, the answer is ‘Scarcity’.

The pattern followed here is,

HMPU : IOSY

H + 1 = I, M + 2 = O, P + 3 = S, U + 4 = Y

Similarly,

GMRF : ?

G + 1 = H, M + 2 = O, R + 3 = U, F + 4 = J

Hence, the answer is HOUJ.

The pattern followed here is,

50 : 65

→ (7² + 1) : (8² + 1)

Similarly,

122 : ?

→ (11² + 1) : (12² + 1)

→ 122 : 145

Hence, the answer is 145.

1. Venus is a planet.

2. Moon is a satellite.

3. Jupiter is a planet not black hole.

4. Sun is a star.

Hence, ‘Jupiter : Black Hole’ is the odd pair.

The pattern followed here is,

1. K + 6 → Q

2. D + 6 → J

3. S + 7 → Z

4. R + 6 → X

Hence, ‘SZ’ are the odd letters.

1. 361 → (19)²

2. 441 → (21)²

3. 784 → (28)²

4. 876 → it is not square of any number.

Hence, ‘876’ is the odd number.

The dictionary order for the given words is given below:

2. Harmony
3. Helm
4. Herbivorous
5. Honour
6. House

Hence, the correct dictionary order is ‘25143’.

The pattern followed here is,

A (+ 2) → C (+ 2) → E (+ 2) → G (+ 2) → I

Hence, the next term in the series is I.

The pattern followed here is,

106 + 126 = 232

Hence, the next term in the series will be 232.

People: Hitesh, Sunny, Vicky, Nitin and Bharat.

1. Hitesh is at third place.

2. Bharat is between Nitin and Hitesh while Nitin is not at the bottom.

Final arrangement:

Hence, Nitin has the maximum height.

Note: This question was wrong in the official paper, so we have made some changes to this question.

Using the following notations, we can draw the family tree,

Hence, Q is the uncle of S.

1. Bonded → Abandoned → can be formed.

2. Banded → Abandoned → can be formed.

3. Bland → Abandoned → cannot be formed as there is no letter ‘l’.

4. Bane → Abandoned → can be formed.

Hence, ‘Bland’ cannot be formed.

“REMOTE” is written as,

R + 1 = S, E + 2 = G, M + 3 = P, O + 4 = S, T + 5 = Y, E + 6 = K

SGPSYK → Reverse order → KYSPGS

“BRAND” is written as,

B + 1 = C, R + 2 = T, A + 3 = D, N + 4 = R, D + 5 = I

CTDRI → Reverse order → IRDTC

Similarly,

“MOBILE” will written as,

M + 1 = N, O + 2 = Q, B + 3 = E, I + 4 = M, L + 5 = Q, E + 6 = K

NQEMQK → Reverse order → KQMEQN

Hence, “NQEMQK” will written as “KQMEQN”.

Given equation: 12 - 6 + 28 × 3 ÷ 9 = ?

On interchanging symbols:

→ 12 ÷ 6 - 28 + 3 × 9

→ 2 - 28 + 27

→ 29 - 28 = 1

Hence, the answer is ‘1’.

The pattern followed here is,

19 (36) 13 → (19 - 13)²

→ 36

37 (81) 28 → (37 - 28)²

→ 81

Similarly,

43 (A) 38 → (43 - 38)²

→ 25 = A

Hence, the answer is 25.

The pattern followed here is,

First table:

3 × 2 × 7 × 4 → 168

Second table:

8 × 1 × 3 × 7 → 168

Similarly,

Third table:

1 × 2 × 6 × ? → 168

12 × ? → 168

→ 14

Hence, the missing number in the table is 14.

Triangles in the given figure:

Hence, there are 28 triangles in the given figure.

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

I. All dangerous are insects → It is possible but not definite, hence false.

II. All dangerous are machines → It is possible but not definite, hence false.

III. Some machines are insects →  It is possible but not definite, hence false.

Hence, none of the given conclusions follow.

1. Dice (option) 1 is not possible as face with ‘1’ and the face with ‘5’ are opposite to each other.

2. Dice (option) 2 is not possible as face with ‘2’ and the face with ‘4’ are opposite to each other.

3. Dice (option) 3 is possible.

4. Dice (option) 4 is not possible as face with ‘6’ and face with ‘3’ are opposite to each other.

Hence, dice (option) 3 can be formed.

Mistake PointsIf Only two entities ask in the question then Only those two parts counted.

But,

If the question is asking for two entity then, you have to take all the common part which is included in that two areas.

People who like cricket and tennis are 17 + 15

→ 32

Hence, 32 people like both cricket and tennis both.

Hence, option 3 will complete the given question figure.

Hence, the given question figure is hidden in option 3.

Hence, the unfolded paper will be similar to option 1.

Hence, the mirror image of the given question figure will be similar to option 2.

1. 00, 04, 67, 57 → P, O, N, D

2. 23, 12, 86, 69 → O, P, N, D

3. 43, 24, 98, 95 → P, P, N, D

4. 30, 42, 55, 87 → O, O, N, T

Hence, ‘POND’ is represented by ‘00, 04, 67, 57’.

A Self Help Group (SHG) is a financial committee of 15-20 people. It is generally based in a village or other economically backward area and is aimed at pooling of resources and extending loans to the members on a case-by-case basis.

• There are 12 Maharatna companies and 16 Navratna companies.
• There are also 60 Miniratna-1 category and 14 Miniratna-2 category companies.
• As of September 2024, there are 13 Maharatna companies in India: 
• Bharat Heavy Electricals Limited (BHEL)
• Bharat Petroleum Corporation Limited (BPCL)
• Coal India Limited (CIL)
• GAIL India Limited (GAIL)
• Hindustan Petroleum Corporation Limited (HPCL)
• Indian Oil Corporation Limited (IOCL)
• National Thermal Power Corporation Limited (NTPC)
• Oil and Natural Gas Corporation Limited (ONGC)
• Power Grid Corporation of India Limited (POWERGRID)
• Steel Authority of India Limited (SAIL)
• Rural Electrification Corporation Limited (REC)
• Power Finance Corporation (PFC)
• Oil India Limited (OIL

​The correct answer is Ireland.

Extra information:

• The President of India is elected by members of an electoral college instead of direct elections. Following are the members of an electoral college:
• Elected members of both Lok Sabha and Rajya Sabha.
• Elected members of state legislative assemblies.
• Elected members of legislative assemblies of UTs of Delhi and Puducherry.
• The method adopted for the election of the President is a system of proportional representation by the means single transferable vote.
• The voter is required to indicate the preference on the ballot paper and he can mark as many preferences as the number of candidates.
• The voting takes place in phases and the candidate securing the least number of first preferences is eliminated in each phase.
• The process is carried on and at last, a person securing the required quota of votes stands elected.

Option 3 is correct, i.e. By what authority (or) warrant.

• Article 32  of the Indian Constitution has been described as the ‘heart and soul’ of the Indian Constitution by Dr. B. R. Ambedkar.

• It gives a citizen the right to approach the Supreme Court to get resorted any of the fundamental rights in case of their violation.

• It is also known as; Right to Constitutional Remedies.

• The literal meaning of Quo-Warranto is ‘by what authority’. It is one of the five writs that can be issued by the Supreme Court and High Courts to question the authority of the government office that has passed the challenged order.

• | Article | Consists of | | --- | --- | | Article 32 | Right to move the Supreme court for the enforcement of fundamental rights including the writs. - habeas corpus - mandamus - prohibition - certiorari - quo warranto |

• Habeas Corpus: This writ is issued to produce a person who has been detained whether in prison or in private custody, before a court and to release him if such detention is found illegal.

• Mandamus: The writ of command is issued by supreme or high court when any government, court, corporation, or any public authority has to do a public duty but fails to do so.

• Prohibition: A writ of prohibition is issued by a Court to prohibit the lower courts, tribunals and other quasi-judicial authorities from doing something beyond their authority.

• Certiorari: The writ of certiorari can be issued by the supreme or high court for quashing the order already passed by an inferior court, tribunal or quasi-judicial authority.

• Quo-Warranto: The writ of quo-warranto can be issued by the supreme or high court for asking of by what authority or warrant. It is issued by the court to enquire into the legality of a claim of a person to a public office.

Option 4 is correct, i.e. Muhammad Ali Jinnah.

Muhammad Ali Jinnah:

• He was a lawyer, politician, and the founder of Pakistan.
• Jinnah served as leader of the All - India Muslim League from 1913 until Pakistan's creation on 14 August 1947.
• Muhammed Ali Jinnah was the first Governor-General of Pakistan and is referred to as Qaid-e-Azam.
• The Lucknow Pact of 1916 was aimed at getting all the religious factions of the country (moderates, extremists, and the Muslim League) united.

Banabhatt was the court poet of King Harshvardhana in 7^th Century. He wrote the biography of Harshavardhan called Harshacharita and one of the world's earliest novels, Kadambari.

Marble is a metamorphic rock, made from recrystallized minerals like calcite or dolomite. It is most commonly used for making sculptures and buildings.

Molecules of carbon dioxide (CO₂) can absorb heat energy from infrared (IR) radiation. This ability to absorb and re - emit infrared energy is what makes CO₂ an effective heat - trapping greenhouse gas.

Phylum Annelida is the category of worms and includes any and every worm like earthworm, rag worm, leeches etc. These worms are invertebrates and have different segments in one body.

Synapse is a structure in the human nervous system that allows the passage of the chemical or electrical signal from one neuron (nerve cell) to other neuron.

Villi present in the small intestine are small finger - like tissue projections which increase the surface area of the intestine and contain specialized cells that transport substances into the bloodstream.

Electric current, despite of having magnitude and direction, is not considered as a vector quantity because it doesn’t always obey the Laws of vector addition, which a vector necessarily follows.

CONCEPT

Banking of road: The phenomenon of raising the outer edge of the curved road compared to its inner edge is called the banking of the road.

• In the level curve of circular motion, the maximum velocity without skidding depends on μs i.e. frictional force between tyre and road.
• But friction is not always a reliable source for providing the required centripetal force for the vehicle.
• Due to various factors like rain, type of tyre and many others.
• Therefore, banking of road helps the vehicle to overcome this.

Explanation:

From the above explanation, we can see that

Banking of road is the phenomena of raising the outer edge of the curved road compared to its inner edge which provides the necessary centripetal force while taking a sharp turn and prevents risk on any accidents.

Additional Information 

Important formula related to the banking of the road

Where,

r = radius of curvature,

μs = coefficient of friction,

θ = angle of banking

C++ is an object oriented programming language. It comes under the category of ‘general - purpose programming language’ that is used for writing software in different variety of application domains.

Isobars are atoms of different chemical elements that have different atomic number but same mass number. This is because they have same number of nucleons.

Haematite and Monazite are the ores of iron and thorium respectively whereas, pitchblende (also called Uraninite) is the ore of Uranium and not copper.

• Kyoto Protocol is the International environment treaty that came into effect in 2005.
• It was intended to fight global warming and reduce greenhouse gas concentrations in the atmosphere.

The rate of annual increment is being retained by the 7^th Pay Commission of Indian. This rate was last modified in the 6^th Pay Commission when it was set at 3%.

Charles Louis Alphonse Laveran was the first person to discover the causative agents of malaria. He was also awarded Nobel Prize in Medicine or physiology in 1907 for his discovery.

The correct answer is 1 - a, 2 - c, 3 - b.

Key Points

• Formula-1 or F1 is the highest class of international auto racing for single-seater formula racing cars in the world.
• The Fédération Internationale de l'Automobile(FIA) or International Automobile Federation is an association established on 20 June 1904 to represent the interests of motoring organisations and motor car users.
• It is headquartered in Paris, France.
• It had organised the first inaugural session in 1950.

Additional Information

• Grand Prix is the annual racing event in F1 (Formula 1) racing.
• The Australian Grand Prix of 2017 was won by Sebastian Vettel (Ferrari).
• The Russian Grand Prix of 2017 was won by Valtteri Bottas (Mercedes).
• The Chinese Grand Prix of 2017 was won by Lewis Hamilton (Mercedes).

Ustad Amjad Ali Khan is the Indian musician who plays sarod. He was awarded Padma Vibhushan in 2001 for his contribution to Indian classical music.

Bob Dylan is an American singer who won the Nobel Prize in Literature in 2016 for having created new poetic expressions within the great American song tradition.

‘The Gita for Children’ is the book written by Roopa Pai which was released in 2015. It is aimed at spreading the teachings of Indian text Bhagwat Gita to children in a lucid manner.

India and Israel had held a series of events in February 2017 to celebrate 25 years of establishment of their diplomatic ties. India had established full diplomatic relationship with Israel in 1992 and had recognised the country in 1950.

Duge Bridge is a cable bridge near Liupanshui city in China. It was opened for use in 2016 is the highest in the world with the road deck sitting over 565 metres above the Beipan River.

We know that

⇒ 5/113 = 0.044

⇒ 7/120 = 0.058

⇒ 13/145 = 0.089

⇒ 17/160 = 0.106

∴ 17/160 is the largest.

Since Kashish is twice as efficient as Nirmit

⇒ Kashish can do 2/3 of work in 18/2 days

⇒ 2/3 of work can be done in 9 days

⇒ whole work can be done in 9 × (3/2)

∴ Kashish can do whole work in 27/2 days

⇒ Total volume displaced by 40 men = 40 × 5 = 200 m³

volume displaced by 40 men = volume of water displaced by pool

⇒ 30 × 25 × h = 200

⇒ h = 8/30 m

⇒ h = 8 × 100/30 cm

∴ Height raised is 26.66 cm

Man bought that article can be given as

⇒ 2375 × (1 – 50/100) × (1 – 25/100)

He bought it for Rs. 890.625

Price of article after repairing = 890.625 + 165

Price after repairing is Rs. 1055.625

Price of article after 62.5% profit can be given as

⇒ 1055.625 × (1 + 62.5/100)

⇒ 1055.625 × 1.625

⇒ 1715.39

∴ selling price be Rs. 1715.39

Let their length, breadth and height be 19y, 11y and 13y respectively

From the problem statement

⇒ 19y = 30 + 13y

⇒ 6y = 30

⇒ y = 5 … (i)

Volume is given as length × breadth × height

⇒ Volume = 19 × 11 × 13 × y³ [Using (i)]

⇒ Volume = 19 × 11 × 13 × 5³

∴ Volume is 339625 cm³ 

Average is given as sum of ages of all players/12 players

⇒ 23 = sum of ages of all players/12

⇒ sum of ages of all players = 12 × 23

⇒ sum of ages of all players = 276 … (i)

After adding the age of coach average is 25(23 + 2)

⇒ (sum of ages of all players + age of coach)/13 = 25 Using (i)

⇒ 276 + age of coach = 25 × 13

⇒ Age of coach = 49

∴ coach’s age is 49 years

Let its cost price be Rs. x

Price after two successive gains can be written as

⇒ x × (1 + 30/100) × (1 + 20/100) = 31200

⇒ x × 1.3 × 1.2 = 31200

⇒ x = 20,000

∴ the cost price is Rs. 20000

This question can be solved using the formulae of CI in which principal is number of trees initially

⇒ Number of trees after 2 years = 17640 × (1 + 5/100)²

⇒ Number of trees finally = 17640 × 1.05 × 1.05 = 19448.1

∴ Number of trees finally are approximately 19450

Let us assume that the distance between Delhi and Mathura be p km and between Mathura and Gwalior be q km and speed of Kapil be s km/hr.

Since both of them started at same time and reached Mathura at same time, means time taken by them is same

⇒ time = distance/ speed

⇒ time taken by Kapil to reach Mathura = time taken by Aman to reach Mathura

⇒ q/s = p/30 ….(i)

For Aman to reach Gwalior,

⇒ q = 30 × 196/60

⇒ q = 98 …..(ii)

For Kapil to reach Delhi,

⇒ p = s × 225/60 Using (i) and (ii)

⇒ q/s = 98/s = s × 225/(60 × 30)

⇒ s = √{98 × 60 × 30/225}

∴ Speed of Kapil be 28 km/hr.

Shortcut TrickFor such types of questions, 

We can use the direct formula as,

⇒ $Speed \space of Aman \over Speed\space of\space Kapil$ = $√ {Time\space taken\space by\space Kapil \over\space Time\space taken\space by\space Aman}$

⇒ 30/K = ${\sqrt{{225\over60}\over {196\over60}}}$

⇒ 30/K = (5 × 3)/14

⇒ K = 28

∴ Speed of Kapil = 28km/hr.

The principle gives 3130 as interest in 10 years. Implies it gives 1565 interest in 5 years. 

After 5 years the principle is 5 time. The interest for remaining 5 years is also 5 times = 5 × 1565 = 7825. 

Total interest we get at the end of 10 years= 7825 + 1565= 9390

After simplifying the given equation

⇒ 11/x – 13x/x + 11/y – 13y/y + 11/z – 13z/z = 5

⇒ 11/x – 13 + 11/y – 13 + 11/z – 13 = 5

⇒ 11/x + 11/y + 11/z – 39 = 5

⇒ 11(1/x + 1/y + 1/z) = 44

⇒ (1/x + 1/y + 1/z) = 44/11 = 4

∴ 1/x + 1/y + 1/z = 4

The above equation can be written as

⇒ 2x² – 9x + 9 = 0

⇒ (2x – 3)(x – 3) = 0

⇒ x = 3/2 = 1.5 or x = 3

put these values in x² + (1/x²)

3² + (1/3²) = 82/9 = 9.11

(3/2)² + {1/(3/2)²} = 97/36 = 2.7

∴ its minimum value is 97/36

Simplifying (5x – y)/(5x + y) = 3/7 we will get

⇒ 35x – 7y = 15x + 3y

⇒ 20x – 10y = 0

⇒ 2x – y = 0 ..(i)

If we look at the fraction (4x² + y² – 4xy)/(9x² + 16y² + 24xy)

⇒  (2x-y)²/(9x2 + 16y2 + 24xy)

⇒ (2x-y)2 = 0   ---- using value from eq (i)

⇒ If the numerator = 0, then the value of the fraction = 0.

∴ (4x² + y² – 4xy)/(9x² + 16y² + 24xy) = 0

Given (x + y)² = xy + 1

⇒ x² + y² + 2xy = xy + 1

⇒ x² + y² + xy = 1     ---- (1)

Since we know that x³ – y³ = (x - y)( x² + y² + xy), now using (1)

⇒ x³ – y³ = 1 = (x - y)( x² + y² + xy),

⇒ x – y = 1

∴ x – y = 1

We know that ∠QSR = ∠OSR = 90/2 = 45

Triangle STR is equilateral

⇒ ∠TRS = 60 and in triangle SOR

⇒ ∠SOR + ∠ORS + ∠RSO = 180

⇒ ∠SOR + 60 + 45 = 180

⇒ ∠SOR = 180 – 60 – 45

∴ ∠SOR is 75

By parallelogram Formula of diagonals,

AC² + BD² = 2 (AB² + BC²)

⇒ 8² + BD² = 2 (7² + 9²)

⇒ 64 + BD² = 2 (49 + 81) = 260

⇒ BD² = 260 – 64 = 196

⇒ BD = 14 cm

∴ The length of other diagonal = 14 cm

Concept used:

Number of diagonals for n sided polygon is given as = ⁿC₂ – n

⇒ For octagon n = 8

⇒ ⁸C₂ – 8 = (8!/(8 - 2)! × 2!) - 8 = (8 × 7 × 6!/(6! × 2)) -  8 = 56/2 - 8

⇒ 28 - 8

∴ 20 diagonals are in a Octagon

Given:

Side of square = AB = BC = CD = DA = √5/2 cm

Concept used:

The diagonal of the square will be the radius of the circle.

Calculation:

Let radius of quarter circle be r.

⇒ Side of square = √(5/2) cm

Using Pythagoras Theorem in ΔABC,

⇒ r² = (side)² + (side)²

⇒ r² = {√(5/2)}² + {√(5/2)}²

⇒ r² = (5/2) + (5/2) = 5

⇒ Radius of circle = r = √5 cm

∴The radius of the circle is √5 cm.

Shortcut Trick

Given sec²θ + tan²θ = 5/3 and we know sec²θ − tan²θ = 1.

Subtracting the identity from the given equation: 2 × tan²θ = (5/3) − 1 = 2/3.

⇒ tan²θ = 1/3 ⇒ tanθ = 1/√3 ⇒ θ = 30°.

⇒ tan 2θ = tan(2 × 30°) = tan 60° = √3.

∴ The correct answer is √3.

Alternate Method

Given: sec²θ + tan²θ = 5/3

Formula Used: sec²θ = 1 + tan²θ

⇒ (1 + tan²θ) + tan²θ = 5/3

⇒ 1 + 2tan²θ = 5/3

⇒ 2tan²θ = 5/3 − 1

⇒ 2tan²θ = 2/3

⇒ tan²θ = 1/3

⇒ tanθ = 1/√3

⇒ Since tan 30° = 1/√3, θ = 30°

⇒ tan 2θ = tan (2 × 30°) = tan 60°

⇒ tan 60° = √3

∴ The correct answer is √3.

Additional Information

Trigonometric Identities

Standard identities: sin²θ + cos²θ = 1, sec²θ − tan²θ = 1, and cosec²θ − cot²θ = 1.

Double Angle Formulas

tan 2θ = (2tanθ) / (1 − tan²θ). Substituting tanθ = 1/√3 gives (2/√3) / (1 − 1/3) = (2/√3) / (2/3) = √3.

Trigonometric Ratios at 60°

At 60°: sin 60° = √3/2, cos 60° = 1/2, and tan 60° = √3.

Let the height of the broken tower be h and RO be y

QR = RO + OQ

⇒ OQ = 180 - y

⇒ In ΔRPO,

tan30° = PO/RO

⇒ 1/√3 = h/y

⇒ y = √3 h      ----(i)

Now in ΔPOQ,

⇒ tan60° = PO/OQ

⇒ √3 = h/(180 - y)

Using (i)

⇒ √3 = h/(180 - √3 h)

⇒ 180√3 - 3h = h

⇒ h = 45√3 m

⇒ y = √3 h = √3 × 45√3 = 135 m

In ΔPOQ,

sin60° = PO/PQ

⇒ √3/2 = h/PQ = 45√3/PQ

⇒ PQ = 90 m

Total height of the tower = PO + PQ = h + PQ = 45√3 + 90 = 45(√3 + 2) m

Given:

sinθ + sin5θ = sin3θ

⇒ -sin θ = sin5θ - sin3θ

Calculation:

Using identity in RHS sin(x) – sin(y) = 2 × cos{(x + y)/2} × sin{(x – y)/2}

⇒ – sin θ = 2 × cos(4θ) × sin(θ) 

⇒ cos(4θ) = -1/2 = cos(120)

⇒ 4θ = 120

∴ θ is 30

Profit (before tax) for Y7 is given as

⇒ 1600 – 1240 = 360

Tax paid is given as profit × tax%/100

⇒ 360 × (33/100)

⇒ 360 × 0.33

∴ tax for Y7 is 118.8 crores

Profit (before tax) for Y2 is given as

⇒ 1100 – 850 = 250

Profit after tax is given as profit × (1 – tax%/100)

⇒ 250 × (1 – 22/100)

⇒ 250 × 0.78

⇒ Profit after tax for Y2 is 195

Profit (before tax) for Y6 is given as

⇒ 1500 – 1200 = 300

Profit after tax is given as profit × (1 – tax%/100)

⇒ 300 × (1 – 30/100)

⇒ 300 × 0.7

⇒ Profit after tax for Y6 is 210

Profit (before tax) for Y8 is given as

⇒ 1850 – 1400 = 450

Profit after tax is given as profit × (1 – tax%/100)

⇒ 450 × (1 – 13/100)

⇒ 450 × 0.87

⇒ Profit after tax for Y8 is 391.5

∴ we can conclude that profit for Y8 > Y6 > Y2

Profit (before tax) for Y1 is given as

⇒ 800 – 600 = 200

Profit (before tax) for Y2 is given as

⇒ 1100 – 850 = 250

Profit (before tax) for Y3 is given as

⇒ 1200 – 900 = 300

Profit (before tax) for Y4 is given as

⇒ 1200 – 950 = 250

Profit (before tax) for Y5 is given as

⇒ 1350 – 1050 = 300

Profit (before tax) for Y6 is given as

⇒ 1500 – 1200 = 300

Profit (before tax) for Y7 is given as

⇒ 1600 – 1240 = 360

Profit (before tax) for Y8 is given as

⇒ 1850 – 1400 = 450

∴ We can see that there are yearly profits as 200, 250, 300, 360, 450 or 5 distinct values

Total sum of profit = Profit of Y1 + Profit of Y2 + Profit of Y3 + Profit of Y4 + Profit of Y5 + Profit of Y6 + Profit of Y7 + Profit of Y8

Total sum of profit =  200 × (1 – 20/100) + 250 × (1 – 22/100) + 300 × (1 – 22/100)

+ 250 × (1 – 25/100) +  300 × (1 – 30/100) + 300 × (1 – 30/100) + 360 × (1 – 33/100) + 450 × (1 – 13/100)

Total sum of profit = 160 + 195 + 234 + 187.5 + 210 + 210 + 241.2 + 391.5 = 1829.2

∴Total profit is Rs. 1829.2 crores

Calculation:

Profit (before tax) for Y1 is given as

⇒ 800 – 600 = 200

Profit after tax is given as profit × (1 – tax%/100)

⇒ 200 × (1 – 20/100)

⇒ 200 × 0.8

⇒ Profit after tax for Y1 is 160

Profit (before tax) for Y2 is given as

⇒ 1100 – 850 = 250

Profit after tax is given as profit × (1 – tax%/100)

⇒ 250 × (1 – 22/100)

⇒ 250 × 0.78

⇒ Profit after tax for Y2 is 195

Profit (before tax) for Y3 is given as

⇒ 1200 – 900 = 300

Profit after tax is given as profit × (1 – tax%/100)

⇒ 300 × (1 – 22/100)

⇒ 300 × 0.78

⇒ Profit after tax for Y3 is 234

Profit (before tax) for Y4 is given as

⇒ 1200 – 950 = 250

Profit after tax is given as profit × (1 – tax%/100)

⇒ 250 × (1 – 25/100)

⇒ 250 × 0.75

⇒ Profit after tax for Y4 is 187.5

Profit (before tax) for Y5 is given as

⇒ 1350 – 1050 = 300

Profit after tax is given as profit × (1 – tax%/100)

⇒ 300 × (1 – 30/100)

⇒ 300 × 0.7

⇒ Profit after tax for Y5 is 210

Profit (before tax) for Y6 is given as

⇒ 1500 – 1200 = 300

Profit after tax is given as profit × (1 – tax%/100)

⇒ 300 × (1 – 30/100)

⇒ 300 × 0.7

⇒ Profit after tax for Y6 is 210

Profit (before tax) for Y7 is given as

⇒ 1600 – 1240 = 360

Profit after tax is given as profit × (1 – tax%/100)

⇒ 360 × (1 – 33/100)

⇒ 360 × 0.67

⇒ Profit after tax for Y7 is 241.2

Profit (before tax) for Y8 is given as

⇒ 1850 – 1400 = 450

Profit after tax is given as profit × (1 – tax%/100)

⇒ 450 × (1 – 13/100)

⇒ 450 × 0.87

⇒ Profit after tax for Y8 is 391.5

Total profit is given as the sum of all individual profits as calculated above

⇒ total profit = 160 + 195 + 234 + 187.5 + 210 + 210 + 241.2 + 391.5

⇒ total profit = 1829.2

∴Total profit is Rs. 1829.2 crores

The correct answer is '1'.

Key Points

• There is an error in the first part of the sentence.
• This could be easily found out when the second part is read in continuation to the first part.
• The phrase 'deal with' means to do something about (a person or thing that causes a problem or difficult situation) ​
• The government dealt harshly with the rebels.
• I'll deal with you later.
• ​The phrase 'deal in' means to buy and sell (something) as a business.
• He deals in rare books.
• Hence, 'deals with' will be replaced by 'deals in'.
• Hence, the correct sentence is**- 'My elder son deals in spare parts and manages his bread and butter.'**

Hence, the correct answer will be Option 1.

The correct answer is 'for her husband's murder'- the error lies in this part.

Key Points

• The error is in the first part of the sentence.
• In the first part, 'for' has to be replaced with 'of' as the verb 'accuse' takes the preposition 'of' after it.
• Hence the correct option is option 1.
  

Correct sentence: Sneha was accused of her husband's murder but the court found her not guilty and acquitted her

Important Points

Preposition: A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, spatial relationships, or to introduce an object. Some examples of prepositions are words like "in," "at," "on," "of," and "to."

'Approve', 'Die', 'Smell', 'Accuse' take the preposition 'of' after them.

Some examples: 

The correct answer is Option 3.

Key Points

• The filler for this should be a culminating verb for the marriage procession.
• Now a marriage procession is a ceremony which starts ”on” and passes “off”.
• A function, ceremony or ritual cannot be passed “away” or “by” as they are not material living beings.
• Example:-
• The old woman passed away quietly
• Don't let this opportunity pass (you) by!
• Have both your parents passed on?
• These verbs are used for people or things.
• Hence, the correct answer is option 3

Additional Information 

Pass off

Meaning: Happen, Misrepresent something

Example: The millennium passed off without any disasters, He tried to pass off the imitation Rolex as genuine.

Pass on

Meaning: Convey or communicate, Skip or decline, Die

Example: Can you pass on the information next time you see him?, I’ll pass on dessert, thanks, His uncle passed on last year.

The correct answer is Few.

Key Points

• According to the rules of using few, a few, little and a little, we have to consider whether the noun is countable or uncountable, and whether the meaning is positive or negative.
• Books are countable nouns, so we have to use few or a few.
• Few means almost none and has a negative meaning, while a few means some and has a positive meaning.
• For Example:
• A few members of the family leave their hometown each year.
• Few members of the family leave their hometown each year.
• Therefore, the correct word to fill in the blank is: few
• This is because the sentence implies that there are not many books on computer science in the school library, which is a negative situation.
• If we use a few, it would mean that there are some books, which is not the case.
• The sentence would be: There are few books on computer science in your school library, so you need to purchase them from the market
• Hence, the correct option is 3.

Atrocity is a very negative word very commonly used for a crime that is very heinous, horrific and disgusting. Barbarity is synonymous to atrocity. Shy means a behaviour where the person does not open up socially to other people. Gloomy is synonymous to something very dark and controversial. Hence the correct option is 2

The correct answer is Delay.

Look at the meanings:

• Procrastinate means to delay somethings due to some distractions or diversions.
• Divert means to deviate from the work what one may do.
• Deceive means to commit treachery of sort to have personal gain.
• Debase means to depreciate somethings quality or value.

From the given definitions, the correct option is option 4.

The correct answer is: Option 1 i.e. Dulcet.

Key Points

• The word "Raucous" means making or constituting a disturbingly harsh and loud noise. (कर्कश)
• Example: The raucous laughter from the party could be heard from down the street.
• "Dulcet" refers to something that is sweet and soothing (often used ironically), especially of sound. (मधुर)
• Example: The dulcet tones of the lullaby helped the baby fall asleep.

Therefore, the correct answer is: Dulcet.

Additional Information

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

• Hoarse (रूखा): Sounding rough and harsh, typically as the result of a sore throat or of shouting.
• Example: His voice was hoarse after shouting at the concert all night.
• Jarring (झंझट): Incongruous in a striking or shocking way; clashing.
• Example: The jarring noise of the alarm clock jolted him awake.
• Torrent (प्रवाह): A strong and fast-moving stream of water or other liquid.
• Example: The heavy rain turned the stream into a raging torrent.

The correct answer is: Option 3 i.e. Enmity.

Key Points

• The word "Predilection" means a preference or special liking for something; a bias in favor of something. (पूर्वाग्रह)
• Example: Her predilection for classical music was evident in her vast collection of symphonies.
• "Enmity" refers to the state or feeling of being actively opposed or hostile to someone or something. (दुश्मनी)
• Example: There has always been enmity between the two rival factions.

Therefore, the correct answer is: Enmity.

Additional Information

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

• Inclination (रुझान): A person's natural tendency or urge to act or feel in a particular way.
• Example: She had a strong inclination towards the arts from a young age.
• Enduring (सहना): Lasting over a period of time; durable.
• Example: Their enduring friendship spanned several decades.
• Domicile (निवास): The country or place that a person treats as their permanent home, or lives in and has a substantial connection with.
• Example: He moved to a new domicile in the city after getting the new job.

The phrase “a wild goose chase” is more often used for futile search of something, fruitless efforts. Hence, option 3 is correct. In a sentence, it can be used as-”They caught Abagnale, only to find that he was innocent. It was a wild goose chase”.

“A moot point” is generally used in the real estate markets and courts and mean that the thing is disputed. Rest all the other options are incorrect.  

In a sentence, it can be used as-”The plot to be registered had a moot point.”

Option 3 is correct as,

'As' is not used with the verb 'appoint' and we do not use an article before noun complement.

Thus Option 3 is the correct answer.

‘If I were…’ and ‘If I was…’ are both correct forms to use when referring to a hypothetical situation. (Second Conditional/ Unreal Present).

The use of ‘were’ is considered more formal. This form is called the ‘Past Subjunctive’ and is often used after:

• if
• as if
• wish
• If Superman were here, he could help you.
• He speaks to me as if he were the President.
• I wish Jack were more reliable.

However, ‘I/he/she/it was’ is also an accepted form and is used in informal conversation:

• If Superman was here, he could help you.
• He speaks to me as if he was the President.
• I wish Jack was more reliable.

The only time we don’t normally use ‘was’ is in the fixed expression ‘If I were you’:

• If I were you, I’d look up Subjunctive in English Grammar in Use.

The correct answer is Option 2 i.e Emeritus

Key Points

• Let's look at the meaning of the correct option. 
• Emeritus: Someone who is retired but allowed to keep the honour. (कोई है जो सेवानिवृत्त हो गया है लेकिन सम्मान रखने की अनुमति है।)
• Here we find that the meaning of the word emeritus and the sentence given in the question are the same.
• Let's look at the meaning of the other given options. 
• Belligerent: Hostile and aggressive. (शत्रुतापूर्ण और आक्रामक।)
• Truant: A pupil who leaves school without explanation. (एक छात्र जो बिना स्पष्टीकरण के स्कूल छोड़ देता है।)
• Mercenary: A paid soldier who fights for those who pay him. (एक सशुल्क सैनिक जो उसे भुगतान करने वालों के लिए लड़ता है।)
• Hence, the correct answer is Option 2 i.e Emeritus.

Additional Information

• The word Emeritus comes from the past participle Latin word "emereri" which means to earn one's discharge.
• Emeritus today is most commonly used for academicians especially for professors in a university.

The correct answer is: Option 2 i.e. Hallucination.

Key Points

• The word "Hallucination" means an experience involving the apparent perception of something not present. (मतिभ्रम)
• Example: After days without sleep, he began to experience vivid hallucinations.
• "Perception without objective reality" refers to experiencing something that is not actually present in the environment. (वह धारणा जो वास्तविकता में मौजूद नहीं है)
• Example: Seeing water in a desert due to a mirage is a classic case of perception without objective reality.

Therefore, the correct answer is: Hallucination.

Additional Information

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

• Cynicism (नीयत में खोट): The belief that people are motivated purely by self-interest rather than acting for honorable or unselfish reasons.
• Example: His cynicism makes it hard for him to trust anyone.
• Illusion (भ्रम): A deceptive appearance or impression; something that is wrongly perceived by the senses.
• Example: The magician’s trick created the illusion of a disappearing act.
• Optimism (आशावाद): Hopefulness and confidence about the future or the success of something.
• Example: Her optimism helps her overcome difficult challenges with ease.

Sol: Options 1 to 3 are all correctly spelt. The incorrect word is option 4 which should be correctly spelt as p-i-e-t-y. Piety means being religious and pure.

Of all the options, option 1 is incorrectly spelt. The correct spelling should be a-d-m-i-t-t-e-d.

In the given set of para-jumbled sentences, the first statement should be R which introduces the topic of the blanket ban of defection. Then, the following two statements are of the same form which helps in the development of the topic. These should be placed first P then S. 

The last statement, Q then culminates the topic with a conclusion. 

The correct option 1.

In the given set of para-jumbled sentences, the first statement should be R which introduces the topic by a suggestion. Then sentence P should be followed as it gives the the symptoms in continuation to the first statement. 

After that statement S should be followed which gives a way of dealing the problem and further develops the topic. Lastly, statement Q is appropriate to culminate the topic. 

The correct order is option 4.

When transition is made from active to passive voice the tense or the meaning should not be changed at all. Since option 3 is not in the same meaning as the active voice, therefore, it is eliminated. Option 4 is not the correct transformation, it should be eliminated. Option 2 changes the tense in the second part of the sentence, thus making it incorrect too. The correct transformation is option 1.

In the given direct speech, the tone of the speaker is that of a suggestion and not a request. During transformation, the meaning or the essence of the speech should not be changed.  Option 1 is more of a request and is not the correct indirect speech to the direct speech given. Option 2 is an order and it too, is not the correct transformation. Option 3 is also incorrect as no one asked the speaker for permission. The correct option is option 4.

The word after the blank is “through” which means the blank should have a filler which defines something of intrinsic characters. From the given options, the only medium is one such word which fits perfectly in the blank and makes the sentence meaningful.  Therefore, the option 2 is correct

According to the context of the paragraph, one can clearly make out that the people want to break the rules of the society. Therefore in this blank, the most appropriate word would be “against”. Use of “for” in the blank would mean the favour of the norms which would completely change the context of the paragraph. Options 3 and 4 cannot be used as they do not make the sentence meaningful.

The most important virtue of a society is its morality and its way to perceive things which is right. The economy is a very important issue but nothing is bigger than the mentality of people. Therefore, the correct option for the blank with respect to the context is option 3.

As we are talking about literature in the context of this paragraph, the most appropriate option is option 4 because in literature, the most one deals with is reading and writing and a written piece of work is a very efficient method to represent some issues.

The issues can be represented using literature, but the way of presenting them is the work of the mind. The purpose of any issue initially is developed in mind before it is penned down. Therefore, the correct answer is option 3.