SSC CGL Previous Paper (Held On: 9 March 2020 Shift 1) (Previous Year Paper)

The Venn diagram that best represents the relationship between the classes Tables, Wooden objects, Chairs is shown below:

Some tables and chairs are made from wood.

Hence, figure 1 is the correct answer.

The pattern followed here is,

Y - 7 → R;

R - 6 → L;

L - 5 → G;

G - 4 → C;

C - 3 → Z

Hence, ‘C’ is the correct answer.

The pattern followed here is,

1. RSTU

R(18) + 1 = S(19); T(20) + 1 = U(21)

2. ADGJ

A(1) + 3 = D(4); G(7) + 3 = J(10)

3. JNQS

J(10) + 4 = N(14); Q(17) + 4 = U(21) ≠ S(19)

4. TVXZ

T(20) + 2 = V(22); X(24) + 2 + Z(26)

Hence, ‘JNQS’ is the correct answer.

The pattern followed here is:

56 : 30 → 56 : (5 × 6)

Similarly,

78 : ? → 78 : (7 × 8)

=> ? = 56

Hence, ‘56’ is the correct answer.

The least possible Venn diagram is as follows:

I. Some students are dancers. → True, as some dancers are writers and all writers are students.

II. Some students are writers. → True, all writes are students.

III. No students is a dancer. → False, it is not possible.

Hence, only conclusions I and II follows.

Given series: 2, 6, 14, 30, 62, 126, 250

The pattern followed here is,

(2 + 1) × 2 = 6

(6 + 1) × 2 = 14

(14 + 1) × 2 = 30

(30 + 1) × 2 = 62

(62 + 1) × 2 = 126

(126 + 1) × 3 = 254 ≠ 250

So, instead of ‘250’, it should be ‘254’.

Hence, ‘250’ is the wrong term in the series.

Audition : Selection → Only after we appear for an audition, we get selected.

Similarly,

When we appear in an examination, we pass.

Hence, ‘Examination : Pass’ is the correct answer.

60 students participated in one or more of the three competitions, i. e. Quiz, and Debate. A total of 22 students participated either in Quiz only or in Extempore only.

4 students participated in all three competitions.

A total of 14 students participated in any of the two competitions only.

Number of students who participated in Debate only = 60 - (22 + 4 + 14) = 60 - 40 = 20

Hence, ‘20’ students participated in debate only.

According to the given codes,

Given expression:

32 B 4 A 12 B (35 A 24) C 52 D 4

After interchanging the letters, we get:

32 × 4 - 12 × (35 - 24) + 52 ÷ 4

= 128 - 12 × 11 + 13

= 128 - 132 + 13

= 141 - 132

= 9

Hence, ‘9’ is the correct answer.

The paper when unfolded, will appear as shown below:

Hence, option 2 is the correct answer.

The pattern followed here is,

(88, 60, 37) → (88 + 60) ÷ 4 = 37

1. (36, 70, 38) → (36 + 70) ÷ 4 ≠ 38

2. (56, 38, 28) → (56 + 38) ÷ 4 ≠ 28

3. (43, 19, 27) → (43 + 19) ÷ 4 ≠ 27

4. (94, 42, 34) → (94 + 42) ÷ 4 = 34

Hence, ‘(94, 42, 34)’ is the correct answer.

The pattern followed here is:

Column 1: 11² - 4³ = 57

∴ 121 - 64

= 57

Column 2: 12² - 5³ = 19

∴ 144 - 125

= 19

Similarly,

Column 3: 18² - 6³

∴ 324 - 216

= 108

Hence, ‘108’ is the correct answer.

The total number of triangles in the figure is shown below:

Hence, ‘22’ is the correct answer.

The definition of each term is give below:

1. Distance – Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

2. Volume – Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.

3. Gallon – a unit of liquid or dry capacity equal to eight pints or 4.55 litres.

4. Weight – a body's relative mass or the quantity of matter contained by it, giving rise to a downward force; the heaviness of a person or thing.

All except ‘gallon’ are terms that is used to define the standard physical quantities, while gallon is itself a unit.

Hence, ‘gallon’ is the odd one out.

The correct mirror image of the given figure when the mirror is placed on the right of the figure is shown below:

Hence, option 4 is the correct answer.

The pattern followed here is:

1. 43 : 318 → (43 × 7) + 7 ≠ 318

2. 53 : 378 → (53 × 7) + 7 = 378

3. 45 : 322 → (45 × 7) + 7 = 322

4. 37 : 266 → (37 × 7) + 7 = 266

Hence, “43 : 318” is the odd one out.

The relation is:

‘Ethiopia’ is related to ‘Africa’ → Ethiopia officially the Federal Democratic Republic of Ethiopia, is a landlocked country in the Horn of Africa.

Similarly,

Brazil is officially the Federative Republic of Brazil, is the largest country in both South America.

Hence, ‘South America’ is the correct answer.

The option figure in which the given figure is embedded is option ‘1’.

Hence, option ‘1’ is the correct answer.

As per the given codes,

From the given information,

1. H + K + D × P ÷ M

H is father of K, K is father of D, D is brother of P, P is sister of M.

H is the paternal grandfather pf P.

2. P + K + D ÷ H × M

P is father of K, K is father of D, D is sister of H, H is brother of M

H is the paternal grandson of P.

3. P + K + D × H ÷ M

P is father of K, K is father of D, D is brother of H, H is sister of M

H is the paternal granddaughter of P.

4. D + H + K × M ÷ P

D is father of H, H is father of K, K is brother of M, M is sister of P

H is the father of P.

Hence, ‘P + K + D ÷ H × M’ is the correct answer.

The words in the order in which they would appear in an English dictionary is:

2. Realism
3. Realistic
4. Research
5. Restore
6. Resurge

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

Given series:

The circle is rotating in clockwise direction and the position is changing, covering both upper corners, so in the ‘?’ figure, the circle must be similar as in the 1^st image and at the same position.

Again, the shaded box’s pattern is very simple,

1^st box in column 1 is shaded in 1^st figure,

1^st box in column 2 is shaded in 2^nd figure,

2^nd box in column 1 is shaded in 3rd figure,

2^nd box in column 2 is shaded in 4^th figure, so, following the same pattern,

3^rd box in column 1 will be shaded in ‘?’ figure.

The small circle in the square box is shifting from one box to another.

In the 1^st figure, the circle is in the last box of column 2,

In the 2^nd figure the circle is in the last box of column 1,

In the 3^rd image, the circle is in the 2^nd last box of column 2,

In 4^th figure, the circle is in the 2^nd last box of column 1, so following the same pattern, the circle in ‘?’ figure will be in the 3^rd last box of column 2.

All the above conditions are satisfied by figure 4.

Hence, figure 4 is the correct answer.

According to the alphabetical positions of the letters,

The pattern followed here is,

Similarly,

Hence, ‘PIXFT’ is the odd one out.

When the box will be constructed, the following letters will be opposite to each other as shown below:

1. L and U → No

2. B and E → No

3. A and Q → No

4. Q and E → Yes

So, when the box will be constructed, the letters ‘E and Q’ will be opposite to each other.

Hence, ‘E and Q’ is the correct answer.

The pattern followed here is,

Note: the vowels are multiplied by 2 and the consonants are multiplied by 1.

Similarly,

Hence, ’54’ is the correct answer.

The pattern followed here is:

D + 1 → E; E + 1 → F; F + 1 → G; G + 1 → H;

J + 2 → L; L + 2 → N; N + 2 → P; P + 2 → R;

Q + 3 → T; T + 3 → W; W + 3 → Z; Z + 3 → C;

C + 4 → G; G + 4 → K; K + 4 → O; O + 4 → S

Hence, ‘HRCS’ is the correct answer.

• Emil Jannings was the first actor to win the Oscar Awards.
• He won the award for the movie- The Last Command and The Way of All Flesh.
• First Best Actress - Janet Gaynor
• First Best Outstanding Picture - Wings
• These awards are presented by the Academy of Motion Picture Arts and Sciences.
• The first Oscars honored the best films of 1927 and 1928.
• Douglas Fairbanks presented the award. He was the President of Academy.
• The awards were awarded in 12 categories.

• The World Anti-doping Agency recently has imposed a 4-year ban on Russia.
• Russia would not be able to host the world championships in Olympic sports.
• Russia was charged with tampering with a Moscow laboratory database of athletes.
• Russian athletes can compete in major events only if they are not implicated in positive doping tests.
• The mission of World Anti-doping Agency, established in 1999, is to lead a collaborative worldwide movement for doping-free sport.
• Founder - Dick Pound

• The yellow dust present in the middle of a flower is called Pollen.
• Pollen must be moved from a stamen to the stigma for pollination.
• Sperm - It is the male reproductive cell.
• Stomata-They is found in the epidermis of leaves, stems and other parts of plants. However, Stomata are more prominently found under leaves and help in the exchange of gases between the outside air and the branched system of plant.
• Zygote - It is the combination of the sperm cell and the egg cell.

• Reserve Bank of India (RBI) Act, 1934 was amended to provide a statutory basis for the implementation of the flexible inflation targeting (FIT) framework.
• The Reserve Bank of India was established under this Act.
• It provides the framework and guidelines of the banking system in India.
• FIT (Flexible Inflation Targeting) is a monetary policy strategy. It is implemented by the RBI in order to maintain the price level within a certain range (hence called flexible).
• Inflation targeting provides more stability and transparency in deciding monetary policy.
• RBI Governor - Shantikanta Das

• Prashant Mishra designed the logo for Lokpal in India.
• There were total 2236 entries received for Logo and total 4705 entries received for Motto/Slogan through Mygov portal.
• The logo of Lokpal is on the meaning of LOKPAL. LOK – people and PAL – caretaker, i.e. "caretaker of people".
• The logo symbolizes as: ombudsman (judges bench), people (three human figures), vigilance (Ashok chakra forming eye–pupil), law (shape of book in orange) and judicial (the tricolor two hands are placed below forming a unique balance).
• The logo is in tricolor representing the national essence of LOKPAL.
• Chairman of Lokpal - Shri Justice Pinaki Chandra Ghose

• The wood of Jackfruit wood is used to make the large plucked string instrument used in Carnatic classical music known as Bobbili Veena / Saraswathi Veena.
• The Veena is named after Bobbili. It is the name of the place where it was invented.
• This musical instrument got a Geographical Indication tag in 2011.
• Jackwood is a rainforest tree of the laurel family which most prominently grow in the eastern Australia.
• Carnatic classical music-It is associated with the southern India.
• More of than than not, it is performed by a small ensemble of musicians.

• Deficiency of Vitamin A (Retinol) - Night Blindness
• Food Sources of Vitamin A - Orange, Ripe yellow fruits, Leafy vegetables, Carrots, Pumpkin, Squash, Spinach, Fish, Liver, Dairy Products, etc.
• Deficiency of Vitamin C (Ascorbic Acid) - Scurvy
• Deficiency of Vitamin D - Rickets
• Deficiency of Vitamin B12 (Cyanocobalamin) - Anaemia

The correct answer is Arunachal Pradesh.

Key Points

• The Legislative Assembly of Arunachal Pradesh adopted a new logo on the 9th of January 2020.
• The state government said that the new logo reflected the distinct identity and culture of the state.
• In the logo, there is a National Emblem and the state flower - foxtail orchid.
• The blue color in the logo denotes the autonomy of the assembly secretariat.

Additional Information

• Arunachal Pradesh Capital- Itanagar
• Chief Minister-Pema Khandu
• Governor-B. D. Mishra.​

• The Paithan Hydro - Electric Project is on river Godavari.
• The dam is known as the Jayakwadi dam.
• The project is in Paithan taluka of Aurangabad district in Maharashtra.
• The origin of Godavari is in Trimbak in the Nasik district (Maharastra).
• The river drains into the Bay of Bengal.
• Tributaries of Godavari - Manjira, Indravati, Sabari,Bindusara

• The India Meteorological Department (IMD) celebrated its 145th foundation day on January 15, 2020.
• The department comes under the Ministry of Earth Science. It was founded in 1875.
• The department is responsible for meteorological observations, weather forecasting, and seismology.
• There are 5 observatories, 27 Doppler Weather Radars, 13 Radio Wind stations, and New Aeronautical Meteorological Stations are commissioned under RCS-UDAN Scheme among other achievements.

• 1921 is called the Year of the Great Divide in the demographic history of India.
• Prior to 1921, the population was quite unstable. It kept on increasing and decreasing without any pattern.
• After 1921, the population showed a consistent increase.
• The total increase in population was 5.9% between 1901 and 1911.
• The total decrease in population was 0.39% between 1911 and 1921.
• But after, 1921 it has shown an increased pattern only.

• Abu’l Fazl is the author of the book ‘Ain-i-Akbari’.
• It is written in the Persian Language in the 16th century.
• The book includes the administration of Mughal Emperor Akbar.
• It also includes revenue, geography, culture, etc during that time.
• Please note that Akbar Nama is divided into three books and Ain-i-Akbari is the third book.
• Henry Beveridge translated whole Akbar Nama into English.

• Shaukat Kaifi passed away in 2019. She was the mother of Shabana Azmi.
• She was an Indian theater and film actress.
• She had written an autobiography - Kaifi and I: A Memoir.
• She had debuted in Chetan Anand’s Haqeeqat in 1964.
• Shabana Azmi is also an actress and has won Padma Shri and Padma Bhushan.

The correct answer is Gross National Product.

Key Points

• GNP - Gross National Product.
• It is the total value of all the final products and services in a given period in terms of production by a country's residents.
• It is calculated by taking the sum of personal consumption expenditures, domestic investment, expenditure by government, net exports, and any income earned by residents from overseas investments, and deducting the income earned within the domestic economy by foreign residents.
• GDP is Gross Domestic Product. It is the national output produced in a country.
• GNP = GDP + net property income from abroad

• Fatehabad district derives its name from the eponymous headquarters town founded by Firoz Shah Tughlaq in the 14th century, who named it after his son Fateh Khan.
• Firoz Shah was the third ruler of Tughlaq dynasty and he reigned from 1351 to 1388 AD.
• He established the Diwan-i-Khairat, Diwan-i-Bundagan, Sarais (rest house) for the benefits of merchants and adopted the Iqtadari framework.
• Firozabad, Fatehabad, Jaunpur and Hissar were established by him.
• He also constructed various canals and imposed certain taxes.

• Mitochondria are called the ‘Powerhouses’ of the cell.
• It is said Powerhouse of the cell because it converts oxygen and nutrients into adenosine triphosphate (ATP).
• ATP powers the metabolic activities of cells.
• Mitochondria are oblong organelles and ranges between 1 and 10 micrometers in length.
• They are located in the cytoplasm of cells with other organelles of the cell.

• ‘Mandamus’ means - We Command.
• It is an order from the Supreme Court or High Court to a lower court or tribunal or public authority to perform a public or statutory duty.
• There are five writs that can be issued by the Supreme Court of India and High Court of India - Habeas Corpus, Mandamus, Prohibition, Quo Warranto, and Certiorari.
• Supreme Court has the power to issue writs under Article 32. High Courts have the power to issue writs under Article 226.
• You May Have the Body - Habeas Corpus
• To be Certified - Certiorari
• By What Warrants - Quo Warranto

• Citric Acid is present in Lime and Lemon.
• It is a weak organic acid.
• It is present in a variety of fruits and vegetables and one of the stronger edible acids.
• It is also used as a flavoring and preservative in food and beverages.
• Lactic Acid is present in Curd.

• Protium, deuterium, and tritium are the naturally occurring isotopes of hydrogen.
• Isotopes are variant of the same element that contains equal numbers of protons but different numbers of neutrons.
• Atomic Number of Hydrogen = 1. It is the lightest element. It was discovered by Henry Cavendish. It has one electron, one proton, and no neutron.
• Protium - It is the most common isotope of Hydrogen available.
• Deuterium - It is also called Heavy Hydrogen. It is double the mass of the nucleus of ordinary hydrogen.
• Tritium - It is a radioactive isotope of hydrogen.

• Palakkad gap is the name of the pass at the southern end of the Nilgiri hills.
• It is between Coimbatore in Tamil Nadu and Palakkad in Kerala.
• Chorla ghat pass is on the intersection of the borders of Goa, Karnataka, and Maharashtra.
• Goran ghat pass connects Udaipur with Sirohi and Jalore in Rajasthan.
• Malshej ghat pass is in the Western Ghats range in Pune, Maharastra.

• Jai Prakash Narayan Museum of Socialism is situated in Lucknow.
• He joined the Indian National Congress in 1929 when he returned from the United States.
• He was posthumously awarded the Bharat Ratna in 1999.
• He participated in many Independence Movements and got jailed too.
• He also stood against Congress when he thought some actions were politically incorrect.
• Lucknow is the capital of Uttar Pradesh.

• Uddhav Thackeray launched the first phase of the Mumbai Trans Harbour Link (MTHL) on 15th January 2020.
• The alternate name of the link is Sewri - Nhava Sheva Trans Harbour Link.
• The Harbour Link is under construction and would connect Mumbai with Navi Mumbai.
• It is expected to be the longest sea bridge when it would be completed - 21.8 kilometres approx.
• Eknath Shinde is the Chief Minister of Maharashtra.
• Governor - Bhagat Singh Koshyari

• Fouaad Mirza qualified for the Tokyo Olympics officially after a wait / span of two decades.
• He has also received the Arjuna Award in 2019.
• He also won a silver in individual eventing in the 2018 Asian Games.
• Earlier, Imtiaz Anees (2000 Sydney) and Late Wing Commander IJ Lamba (1996 Atlanta) are the only Indians to have represented India at the Olympics.
• He ranks at 169th as per FEI Eventing World Athlete Rankings.

• Portuguese captured Goa in 1510 AD.
• Afonso de Albuquerque - Portuguese admiral at that time captured Goa.
• Please note that he was only directed to capture Hormuz, Aden, and Malacca but not Goa.
• He thought Goa would be a good trading port city.
• It was the first European possession in India and Goa got liberated in 1961.
• Goa Capital - Panjim

The first Round Table Conference was held in 1930 in London.

• The Indian National Congress had decided not to participate in the conference because many Congress leaders were imprisoned at that time because of participation in Civil Disobedience Movements.
• The demand for "Swaraj" was also initiated at that period.
• This Conference deemed a failure because many reforms were not implemented.
• However, Lord Irwin requested Gandhi to discontinue the Civil Disobedience Movement and it turned into the Second Round Table Conference. The Government withdrew some of the prosecutions.

Total number of candidates that qualified from all the States together in 1998 = 980 + 1050 + 1020 + 1240 = 4290

Total number of candidates that qualified from all the Stages together in 2001 = 1125 + 1020 + 1250 + 995 = 4390

Required percentage = 4290/4390 × 100 = 97.72%

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

1800 ÷ 20 × {(12 - 6) + (24 - 12)}

⇒ 90 × {(6 + 12)}

⇒ 90 × 18

⇒ 1620

As we know,

Total surface area of cuboid = 2(lb + bh + hl)

Ratio of length, breadth and height of cuboidal box = 7x : 5x : 3x

Total surface are of cuboidal box = 2(lb + bh + hl)

2 (7x × 5x + 5x × 3x + 3x × 7x) = 27832

⇒ (35x² + 15x² + 21x²) = 27832/2

⇒ 71x² = 13916

⇒ x² = 13916/71 = 196

⇒ x = √196

⇒ x = 14

∴ Volume of the cuboidal box = lbh = 7x × 5x × 3x = 105 × 14 × 14 × 14 = 288120

Short Trick:

As we know, length is multiple of 7, then answer is divisible by 7, only option 288120 is divisible by 7.

In ΔABC

sin 60° = AC/AB

⇒ √3/2 = AC/16

⇒ AC = 8√3

Short Trick:

2 unit = 16

1 unit = 8

∴ √3 unit = 8√3

3A = 4B = 5C

Let, 3A = 4B = 5C = K

3A = k

A = k/3

Similarly,

B = k/4 and C = k/5

Ratio of A, B and C = k/3 : k/4 : k/5 = 60/3 : 60/4 : 60/5 = 20 : 15 : 12

Short trick:

If 3A = 4B = 5C, then

A : B : C = 1/3 : 1/4 : 1/5 = 20 : 15 : 12

Total work = 60

Work done by Ram and Shyam in 4 days = (9 + 4) × 4 = 52

Remaining work = 60 - 52 = 8

Remaining work, B complete in = 8/4 = 2 days

Given:

Distance between X and Y is 280km

Speed of the first train = 60 km/hr

Speed of second train = 20 km/hr

Formula Used:

Speed = Distance/Time

Calculation:

Distance covered by first train in 2 hr = 60 × 2 = 120 km

Remaining distance = 280 - 120 = 160 km

Relative speed, if opposite direction = 60 + 20 = 80 km/hr

Time when both train meet = 160/80 = 2 hr

Total time when they meet = 2 hr + 2 hr = 4 hr

In ΔPQR

cosec θ = RQ/PQ

∴ cosec θ = 13/5

Shortcut Trick

Use the successive discount formula: Equivalent Discount = a + b − (a × b) ÷ 100.

Here, a = 20 and b = 15.

Equivalent Discount = 20 + 15 − (20 × 15) ÷ 100.

Equivalent Discount = 35 − 300 ÷ 100 = 35 − 3 = 32%.

∴ The correct answer is 32%.

Alternate Method

Given: First discount = 20%, Second discount = 15%.

Formula: Final Price = MP × (100 − d₁)% × (100 − d₂)%

⇒ Let the Marked Price (MP) be 100.

⇒ Price after 1^st discount = 100 − 20% of 100 = 80.

⇒ Price after 2^nd discount = 80 − 15% of 80 = 80 − 12 = 68.

⇒ Total Discount = 100 − 68 = 32%.

∴ The correct answer is 32%.

Additional Information

Successive Discounts

When two or more discounts are applied one after another on the Marked Price, they are called successive discounts. The second discount is calculated on the price remaining after the first discount.

Ratio Method

20% = 1/5 (MP:SP = 5:4) and 15% = 3/20 (MP:SP = 20:17). Multiplying gives 100:68, resulting in a 32% discount.

(4a + 3b + 2c)²

⇒ (4a)² + (3b)² + (2c)² + 2 × 4a × 3b + 2 × 3b × 2c + 2 × 2c × 4a

⇒ 16a² + 9b² + 4c² + 24ab + 12bc + 16ca

As we know,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

30% = 3/10

Let CP = 10 and SP = 13

Profit = 13 - 10 = 3

Profit % if profit calculated on selling price = 3/13 × 100 ≈ 23.1%

Alternate Method

Calculation: 

Let the C.P be 100

Now, 30% profit 

S.P = 130

According to the question,

Profit = 130 - 100 = 30

compare to the S.P

⇒ (30/130)× 100

⇒ 300/13

⇒ 23.07% ≈ 23.1%

∴ The profit percentage is 23.1%.

(3a - 4b)³

⇒ (3a)³ - (4b)³ - 3 × 3a × 4b (3a - 4b)

⇒ 27a³ - 64b³ - 108a²b + 144ab²

As we know,

(a - b)³ = a³ - b³ - 3a²b + 3ab²

From the following figure,

In Isosceles triangle ABC

∠ACB = ∠ABC [AC = AB]

Given, ∠BAC = 80°

In ΔABC

∠ACB + ∠ABC + ∠BAC = 180°

⇒ 2∠ACB = 180° - 80° = 100°

⇒ ∠ACB = 100°/2 = 50°

6 tan θ - 5 √3 sec θ + 12 cot θ = 0

Put θ = 60°

6 tan 60 - 5 √3 sec 60 + 12 cot 60 = 0

⇒ 6 × √3 - 5√3 × 2 + 12 × 1/√3 = 0

⇒ 6√3 - 10√3 + 4√3 = 0

⇒ 0 = 0 (satisfied)

Now,

cosec θ + sec θ

⇒ cosec 60 + sec 60

⇒ 2/√3 + 2

⇒ (2 + 2√3)/√3

⇒ 2/3 × (3 + √3)

Total number of candidates that appeared from State Q during the given years = 8100 + 9500 + 8700 + 9700 + 8950 = 44950

∴ Required average = 44950/5 = 8990

Total number of candidates appeared in 1997 = 5200 + 7500 + 6400 + 8100 = 27,200

As we know,

Sides of square a = 24 cm

Area of square = a² = 24² = 576 cm²

Area of triangle = 1/2 × area of square = 576/2 = 288 cm²

The difference between the number of candidates qualifying in the year 1998, in the State M and P = 1020 - 980 = 40

Let maximum marks be x, then

x × (72/100) = 360

⇒ x = 360 × (100/72)

⇒ x = 500

So, the maximum marks is 500.

Short Trick:

Let maximum marks be 100%

72% = 360

⇒ 100% = 360 × (100/72) = 500

Shortcut Trick

Tree Method:

SI for 3 years = 6750

SI for 1 years = 6750/3 = 2250

CI for 3 years = 3 : 3: 1

CI for 3 years = 3 × 2250 + 3 × 2250 × 6/100 + 2250 × 6/100 × 6/100

6750 + 405 + 8.1

7163.1

Alternate MethodGiven:

SI for 3 years = 6750

Formula Used:

S.I = PRT/100

C.I = P [(1 + R/100)ⁿ - 1]

Where, S.I = Simple Interest, P = Principal, R = Rate, T or n = Time 

Calculation:

According to the question, 

6750 = (P × 6 × 3)/100

⇒ P = 37500

Again according to the question,

C.I = 37500 [ (1 + 6/100)³ - 1]

⇒ C.I = 7163.1

∴ The compound interest is approximately equal to 7163.

Average age of A, B and C = 20

Sum of age of A, B and C = 20 × 3 = 60

Average age of B and C = 25

Sum of age of B and C = 25 × 2 = 50

Age of A = 60 - 50 = 10 years

Given:

Radius of sector (r) = 14 cm

Central angle (θ) = 45° 

Formula Used:

Area of sector = πr² × (θ/360)

Calculation:

Area of sector

= (22/7) × 14 × 14 × (45°/360°)

= 77 cm²

∴ Required area of the sector is 77 cm²

A + B = 12 and AB = 17

⇒ A³ + B³ = (A + B) [(A + B)² - 3AB]

⇒ A³ + B³ = 12 [12² - 3 × 17]

⇒ A³ + B³ = 12 [144 - 51] = 12 × 93 = 1116

LCM = 2 × 2 × 2 × 3 × 5 = 120

∠POB = 110°

∠POB + ∠POA = 180°  [Straight line]

⇒ 110° + ∠POA = 180

⇒ ∠POA = 180° - 110° = 70°

∠OAP = 90° [tangent at A]

In ΔAPO

∠APO + ∠POA + ∠OAP = 180°

⇒ ∠APO + 70° + 90° = 180°

⇒ ∠APO = 180° - 90° - 70° = 20°

The correct answer is unless you try

Key Points

• 'Unless you don't try' is wrongly used.
• You use unless to introduce the only circumstances in which an event you are mentioning will not take place or in which a statement you are making is not true.
  

Examples:

• We cannot understand disease unless we understand the person who has the disease.
• I'm not happy unless I ride or drive every day.
• Unless’ expresses a condition and is always used in the negative sense.
• ‘Not’ is never used with ‘unless’ as it leads to double negatives making it superfluous.
• Example: Unless you study diligently, you'll never understand trigonometry.

Thus the correct sentence will be: You will not learn cycling unless you try.

The correct answer is To run away

Key Points

• Make off with means to carry (something) away illicitly. It means to steal.
• Eg: Burglars made off with all their wedding presents
• Other options do not match the idiom meaning.

The correct answer is Option 3.

A protagonist is the leading character or one of the major character in a play, film, novel, etc.

Other words mean:

• Hedonist: a person who believes that the pursuit of pleasure is the most important thing in life; a pleasure-seeker.
• Opportunist: a person who takes advantage of opportunities as and when they arise, regardless of planning or principle.
• Cartoonist: an artist who draws cartoons.

The correct answer is Option 3.

The definite article 'the' is used to talk about a particular person or thing, or one already referred to.

Here in the sentence, it talks about the disruption caused due to social or cultural reasons and the damage to the environment.

Other options are incorrect to use in the blank.

The greatest concern is the damage to the environment.

The correct answer is it has turned sour

Key Points

• 'it turns sour' should be there in place of 'it has turned sour'
• The given sentence is erroneous because of the wrong usage of tense with the conditional clause
• The above sentence comes under zero conditional sentences, used to refer to general truths and facts, in which the situation is always real and possible, this type of sentence follows the following structure- if/when + simple present + simple present
• This conditional is used when the result will always happen. 
• Example: If water reaches 100 degrees, it boils.

The correct sentence will be: If a few drops of lemon are put in the milk, it turns sour.

The correct one word substitution for the phrase given is 'Parasite'.

Key Points 

• 'Parasite' is 'an organism that lives inside of an organism'.
• 'Parasite' is. possibly, fed on the survival of other species in which the 'parasite' lives into.
• Hence, option 3)

Additional Information

• Successor:- a person or thing that succeeds another.
• Pupil:- a student in school.
• Heir:- a person legally entitled to the property or rank of another on that person's death.

The correct answer is Option 1.

When we connect the sentences to form a paragraph, it is important to establish a connection between them.

• Sentence B marks the introduction to the paragraph. The subject '1st Olympics were held in 776 B.C. in Greece'.
• The relative pronoun 'their' in Sentence A connects with B stating that the Olympics glory spread far and wide.
• A contradiction is seen in Sentence D that with Christianity the games lost their importance.
• Sentence C is a direct relation with D stating that Christians believed that they encouraged pagan worship in temples.
• Thus the correct order is BADC.

The first Olympics were held at Olympia in Greece in 776 B.C. Their prestige and glory spread far and wide. However, with the advent of Christianity, the games lost their importance. It was because the Christians believed that they encouraged pagan worship in temples.

The correct word to be filled in the blank given is Subscribe

Key Points

• 'Subscribe' is 'to arrange to receive a typical publication'. (एक विशिष्ट प्रकाशन प्राप्त करने की व्यवस्था करना)
• Related to: 'Library membership', 'Cable television connection', 'A digital channel', 'Books and Magazines'.
• 'Prescribe' is 'to provide a written suggestion'. ('लिखित सुझाव देना' है)
• Related: 'A doctor's written medical note'.
• 'Describe' is 'to elaborate a topic', 'To express in a manner to make understand'. (किसी विषय को विस्तृत करना', 'समझाने के तरीके से व्यक्त करना)
• Related: 'A typical complicated situation', 'A theory related topic'.
• 'Transcribe' is 'to put something in the written form'. (किसी चीज़ को लिखित रूप में रखना)
• Related: 'Scripts', 'Manuscripts', 'A historical annotated material'.
• According to the context, As it conveys a typical relationship with 'Readers' Digest magazine, a book'.

Hence, the correct sentence: Do you want to subscribe to Reader's Digest magazine

The correct answer is 'Went to school' 

Key Points

• The second part of the sentence carries an error in the sentence.
• The error is of 'Form of the verb' which is wrongly used.
• According to the grammatical rule, we always use 'Did + Base form of the verb used (V1)'. The verb that follows 'Did' as an auxiliary, is always supposed to follow the 'First form of the verb'.
• According to the rule, the sentence will not have 'went' (as the V2 but will have 'V1)
• 'Mohit did not went to school yesterday as he was unwell.
• Thus and so, the correct sentence will be: Mohit did not go to school yesterday as he was unwell.

The correct answer is Option 3 i.e. 'Dissuade'

Let's take a look at the table below

Here we find that the meaning of the word Dissuade is an exact opposite of the word Persuade. Hence the Antonym of the word Persuade is Option 3 Dissuade.

The correct answer is Rahul asked his mother if he could go out and play then.

Key Points

The given sentence is an interrogative statement in Direct speech. It needs to be changed in Indirect speech.

When we change the direct speech to indirect speech, the following changes take place:

1. The Reporting Verb 'said to' changes to 'asked'.
2. Inverted commas are omitted and the question mark is replaced with a full stop.
3. 'If/whether' is added when it changes from direct to indirect mode.
4. Modal auxiliary 'can' changes to 'could'.
5. The personal pronoun 'I' changes to 'he'.
6. Time phrase changes from 'now' to 'then'.

Following the rules of conversion, the indirect speech sentence will be: Rahul asked his mother if he could go out and play then.

The correct answer is- 'to achieve two results with a single effort.'

Key Points

• Let's understand the meaning of the given idiom:
• Kill two birds with a stone means to complete, achieve two tasks at the same time, or with a singular action. (Kill two birds with a stone का अर्थ है एक ही समय में दो कार्यों को पूरा करना और एक ही क्रिया से।) 
• Example: Cycling to work kills two birds with one stone. It saves money and gives you some exercise.
• From the meaning and example, we can say the correct answer is 'to achieve two results with a single effort.'

Thus option 2 is the most appropriate answer

Additional Information

• Let's learn about the origin of the idiom:
• It is to be believed that in 1656 the phrase was originated from the story of Daedalus and Icarus from Greek Mythology. Daedalus killed two birds with one stone in order to get the feathers of the birds and make the wings. (ऐसा माना जाता है कि 1656 में इस वाक्यांश की उत्पत्ति ग्रीक पौराणिक कथाओं से डेडलस और इकारस की कहानी से हुई थी। पक्षियों के पंख पाने के लिए डेडलस ने एक पत्थर से दो पक्षियों को मार डाला।)

The correct answer is discord

Key Points

• Discord: disagreement between people.
• Example: Demands may lead to disagreement or conflict in the family.
• Other words mean:
• Barrier: a circumstance or obstacle that keeps people or things apart or prevents communication or progress.
  

Example: Duties and taxes are the most obvious barrier to free trade.

• Decrease: make or become smaller or fewer in size, amount, intensity, or degree.
  

Example: Since 1945 air forces have decreased in size.

• Absence: the state of being away from a place or person.
  

Example: A new manager was appointed during her absence.

• Thus, the complete sentence is: Your demands are bound to lead to discord in the family.

The correct answer is in a week's time

Key Points

• 'from a weeks time' is used incorrectly. It must be replaced with 'in a week's time'.
• 'In a week's time' in this context means that in a certain period of time something will get operational.
• Example: Presidential elections are due to be held in ten days' time.
• When we refer to time, 'week' is made possessive.

Thus the correct sentence will be: Our new office will become operational in a week's time.

Additional Information

• The possessive case is also used with nouns denoting time.
• Examples: A day’s march, a week’s holiday, yesterday’s newspaper, today’s match.

The correct antonym to the word 'Rear' is 'Front'

Key Points

• 'Rear' is 'The back part of something' (View, building, Vehicle)
• 'Front' is 'The side or part that itself presents the view'. (Antonym to 'Rear')
• 'Back' is 'The rear surface of a structure'.
• 'Lower' is 'Less high in position'.
• For example: 'The house looks beautiful' when seen through the rear-view mirror. (In the picture given)

The correct answer is Uproot

Key Points

• Eradicate: destroy completely; put an end to; get rid of; eliminate
• Uproot: pull (something, especially a tree or plant) out of the ground; take out

Uproot is synonymous with Eradicate.

Additional Information

• Meaning of the other options: 
• Magnify: make (something) appear larger than it is, especially with a lens or microscope.
• Condense: make (something) denser or more concentrated; change or cause to change from a gas or vapour to a liquid.
• Approve: officially agree to or accept as satisfactory.

The correct answer is: Option 4.

Key Points

• The word "Potraite" is incorrectly spelt and should be "Portrait".
• "Portrait" means a painting, drawing, photograph, or engraving of a person, especially one depicting only the face or head and shoulders. (चित्र)
• Example: The artist painted a beautiful portrait of the young woman.
• "Potraite" is not a recognized English word and is a misspelling.
• Example: There was a spelling error in the document; it said "potraite" instead of "portrait".

Therefore, the correct answer is: Option 4.

Additional Information

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

• Pageant (शोभायात्रा): A public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene.
• Example: The town's annual pageant attracts visitors from all over the country.
• Pamphlet (पुस्तिका): A small booklet or leaflet containing information or arguments about a single subject.
• Example: She distributed pamphlets about the new recycling program.
• Persevere (दृढ़ रहना): Continue in a course of action even in the face of difficulty or with little or no indication of success.
• Example: Despite the challenges, he decided to persevere with his studies.

The correct answer is Fortunately, not much damage was caused by the fire.

Key Points

The given sentence is in Active Voice. Its structure is: Adverb + subject + auxiliary verb + negative marker + main verb + object

It needs to be changed in Passive Voice. Its structure will be: Fortunately + negative marker + Object + helping verb + V3 + by + Subject.

Thus the correct sentence will be: Fortunately, not much damage was caused by the fire.

Rules of Conversion from Active to Passive Voice:

• Identify the subject, the verb and the object: S+V+O
• Change the object into subject
• The active verb does not have an object. Therefore, the passive form should begin with you.
• Change the verb into past participle of the verb
• Change the subject into object

Other options are therefore incorrect as it does not follow the rules of conversion.

The correct answer is Option 1.

• Destroyed (past tense): end the existence of (something) by damaging or attacking it.
• Displayed (past tense): (of information) shown on a computer screen or other device.
• Distracted (past tense): unable to concentrate because one is preoccupied with something worrying or unpleasant.
• Dismayed (past tense): cause (someone) to feel concerned and distressed.

Natural systems can't be displayed nor are they distracted. An individual can be dismayed not natural systems.

Only 'destroyed' fits the blank correctly.

The correct answer is Option 3.

When we connect the sentences it is important to establish a connection between them.

The sentences here talk about a man who is unhappy and dejected about the situation around him.

• Sentence C introduces us to the subject 'a peddler' where he analyzes his rat-traps.
  

Rat-traps is an unpleasant situation with no prospect of improvement.

• B follows C. He evolved a theory that the world was a rat-trap.
• DA follows as a pair. It states that people lay (baits) traps for others such that people could not resist.
• Thus the correct order is CBDA.

Once, a peddler sat looking at his rat-traps. He evolved a theory that the world was a rat-trap. Here, people lay baits for others. These baits were temptations that people couldn't resist.

The correct answer is Option 4 i.e. Journy

Key Points

• Journey is incorrectly spelt  as Jounry. It means an act of travelling from one place to another; trip; expedition.
• Other words are correctly spelled and their meanings are:
• Delicious: highly pleasant to the taste; delightful
• Failure: lack of success
• Furious: extremely angry; full of anger; violent or intense

The correct answer is Option 4.

'neither...nor'.is a co-relative conjunction pair and must be used correctly.

No other option fits in the blank.

The correct answer is Option 2.

• Sprawling: spreading out over a large area; an untidy or irregular way.
• Spreading: extend over a large or increasing area.
• Scheming: the activity or practice of making secret and underhand plans.
• Stretching: (of something soft or elastic) be made or be capable of being made longer or wider without tearing or breaking.

The sentence talks about attracting people to sprawling resorts- spread over a large area

Other options do not convey the meaning in the context.

The correct answer is Option 1.

To connect two words or sentences conjunction 'and' is used.

The sentence talks about the cause of the destruction of natural systems because of indiscriminate construction to provide water and waste disposal facilities .....

No other option fits in the blank correctly.

The correct answer is Option 2.

• Solemn: formal and dignified; characterized by deep sincerity.
• Serious: demanding or characterized by careful consideration or application; sincere, important

Serious is synonymous with solemn.

• Ignorant: lacking knowledge or awareness in general; uneducated or unsophisticated.
• Ordinary: with no special or distinctive features; normal.
• Furious: extremely angry