SSC CGL 2020 Tier-I Official Paper (Held On : 13 Aug 2021 Shift 2) (Previous Year Paper)

The logic follows here is:

From option 1 -

From option 2 -

From option 3 -

From option 4 -

Hence, "option 3" is the correct answer.

Important Points

• Do not get tensed by the complexity of the figures.
• Carefully understand the structure of the given question figure.
• The embedded figure may not be of exact size. It may be small or big.
• Sometimes the rotation or reflection of the figures may be confusing.
• So think wisely before selecting the answer.

The option in which the given figure is embedded when rotation is not allowed is shown below -

Hence, "option 3" is the correct answer.

Let the present age of Anamika be A, Malini be M and that of Srinidhi be S.

The, according to the question:

1) Seven years from now, Anamika will be as old as Malini was 4 years ago. 

A + 7 = M - 4

⇒ M = A + 11

S = 2 years

And, 

2) Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years.

${(A + 10 + M + 10 + S + 10) \over 3} = 33$

$A + M + S + 30 = 33 \times 3$

A + M + S = 99 - 30

A + M + S = 69 

Now, by substituting the above values,

A + (A + 11) + 2 = 69 

2A + 13 = 69

A = 56 ÷ 2

A = 28 years

Hence, the present age of Anamika is 28 years is the correct answer.

The image obtained when paper is unfolded is -

Thus, 

Hence, "option 1" is the correct answer.

The logic followed here is:

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

For (24, 10, 392):

(24 - 10)² × 2 = 14² × 2 = 196 × 2 = 392

Option 1: (26, 12, 369)

(26 - 12)² × 2 = 14² × 2 = 196 × 2 = 392 ≠ 369

Option 2: (27, 15, 480)

(27 - 15)² × 2 = 12² × 2 = 144 × 2 = 288 ≠ 480

Option 3: (29, 18, 242)

(29 - 18)² × 2 =11² × 2 = 121 × 2 = 242

Option 4: (21, 18, 234)

(21 - 18)² × 2 = 3² × 2 = 9 × 2 = 18 ≠ 234

Hence, the correct answer is "Option 3".

The logic follows here is:

In option 1, option 2 and option 3 are divisible by first number of its second number.

Option 1: 432 ÷ 12 = 36

Option 2: 147 ÷ 7 = 21

Option 3: 192 ÷ 8 = 24

But in option 4 are not divisible by first number of its second number.

Option 4: 506 ÷ 13 = 38.92

So option 4 is different from other.

Hence, "option 4" is the correct answer.

Alternate MethodThe logic followed here is:

Square of 1^st number × 3 = 2^nd number

Option 1→ 12 : 432 → (12)² × 3 = 144 × 3 = 432

Option 2 → 7 : 147 → (7)² × 3 = 49 × 3 = 147

Option 3 → 8 : 192 → (8)² × 3 = 64 × 3 = 192

Option 4 → 13 : 506 → (13)² × 3 = 169 × 3 = 507

Hence, the correct answer is "Option 4".

The logic followed here is:

17² + 4 = 289 + 4 = 293,

21² + 4 = 441 + 4 = 445,

Similarly,

?² + 4 = 488

?² = 488 - 4

?² = 484

? = 22

Hence, "22" is the correct answer.

The logic followed here is:

Ohm is the unit of resistance. 

Similarly, 

Radians is the unit of angle.

Watt is the unit of Power not Force. Ampere is the unit of Current not Force. Joule is the unit of Energy not Density.

 Hence, "option 4" is the correct answer.

The mirror image of the given combination when the mirror is placed at PQ as shown below -

Hence, "option 3" is the correct answer.

The logic follows here is: 

(1) The horizontal line of letters is shifting one step down except the letter which in center of that horizontal line in each step.

• Horizontal line (Alphabetical): Shifts one step below in each step and changes position as shown below. each step, as shown below,
• Thus, only option (1) follows the above conditions where I is changed to X (other character). Therefore, the complete series is:

For Vertical line:

From figure 2 to figure 6;

• 1. The number 1 is repeated 3 times and a new letter U is repeated 3 times.
• 2) The number 2 is repeated 4 times and a new letter T is repeated 2 times.
• 3) The letter I is repeated 5 times and a new letter X is repeated 1 time.
• 4) The number 3 is repeated 1 time and a new letter A is repeated 5 times.
• 5) The number 4 is repeated 2 times and a new number 6 is repeated 4 times.

Hence, option (1) is the correct answer.

The family chart is as follows:

Let us the decode the symbols and then draw the family tree.

From option 1 - X8M2Y figure below -

X is the father-in-law of Y. So X is not mother of Y. Option 1 is not correct answer.

From option 2 - X7M6O2Y figure below -

X is the sister-in-law of Y. So X is not mother of Y. Option 2 is not correct answer.

From option 3 - X2M8O2Y figure below -

X is the mother-in-law of Y. So X is not mother of Y. Option 3 is not correct answer.

From option 4 - X2M8Y figure below -

X is the mother of Y. Option 4 is correct answer.

Hence, "option 4" is the correct answer.

The logic followed here is:

(12, 30, 61) -

12 × 2 + 12 ÷ 2 = 24 + 6 = 30, 30 × 2 + 1 = 60 + 1 = 61

Similarly,

From option 1 - 

(6, 15, 30) -

6 × 2 + 6 ÷ 2 = 12 + 3 = 15, 15 × 2 + 1 = 30 + 1 = 31 ≈ 30, It is not follow.

From option 2 - 

(18, 45, 91) -

18 × 2 + 18 ÷ 2 = 36 + 9 = 45, 45 × 2 + 1 = 90 + 1 = 91, It is follow.

From option 3 - 

(8, 21, 45) -

8 × 2 + 8 ÷ 2 = 16 + 4 = 20 ≈ 21, 20 × 2 + 1 = 40 + 1 = 41 ≈ 45, It is not follow.

From option 4 - 

(14, 35, 72) -

14 × 2 + 14 ÷ 2 = 28 + 7 = 35, 35 × 2 + 1 = 70 + 1 = 71 ≈ 72, It is not follow.

Hence, "option 2" is the correct answer.

Apply BODMAS rule -

From option 1 -

60 ÷ 2 × 3 + 6 - 5 = 43

30 × 3 + 6 - 5 = 43

90 + 6 - 5 = 43

96 - 5 = 43

91 ≈ 43, It does not follow.

From option 2 -

60 ÷ 2 + 3 × 6 = 5 - 43

30 + 3 × 6 = 5 - 43

30 + 18 = 5 - 43

48 ≈ -38, It does not follow.

From option 3 -

60 ÷ 2 + 3 × 6 - 5 = 43

30 + 3 × 6 - 5 = 43

30 + 18 - 5 = 43

48 - 5 = 43

43 = 43, It follows.

From option 4 -

60 + 2 ÷ 3 × 6 = 5 - 43

60 + 0.67 × 6 = 5 - 43

60 + 4.02 = 5 - 43

64.02 ≈ -38, It does not follow.

Hence, "option 3" is the correct answer.

The logic followed here is:

Hence, "YUEH" is the correct answer.

The logic followed here is:

1^st, 3^rd, and 5^th  stage:- (× 2 + 3)

2^nd & 4^th stage:- ( × 3 - 2)

Hence, "389" is the correct answer.

The logic followed here is:

(The sum of the alphabets in the opposite positional values) × (Number of Vowels in word)

VIRTUE is coded as 201

Number of Vowels in the given word = 3

'TRAGEDY' is coded as 218

Number of Vowels in the given word = 2

Similarly, 

PROFANE = ?

Number of Vowels in the given word = 3

Hence, the correct answer is "342".

The triangles in the given figure are shown below:

Therefore, 13 triangles are there in the given figure.

Hence, the correct answer is 13.

The logic followed here is:

Headway means forward movement of a ship or boat, growth means the process of growing and developing and advance means to move forward are the synonyms but deteriorate means to become worse is antonym of headway, growth and advance.

Hence, "deteriorate" is the correct answer.

The least possible diagram:

I. No choreographer is producer. - True (All choreographer is a actor and no actor is a producer then no choreographers is producer is follow.)

II. Some actors are choreographers. True (If All choreographers are actors then some actors are choreographer. So some actors are choreographers is follow.)

III. No director is a producer. True (All choreographer is a directors and all directors are actors then the relation is same between choreographer and producer, director and producer and actor and producer. So no director is a producer is follow.)

Hence, "option 1" is the correct answer.

All daughters are females and some female and daughter are musician. So Venn diagram are given below -

 

Hence, "option 4" is the correct answer.

Alternate Method

The pattern followed here is:

In this question, all females are daughters and some female and daughter are musician. So Venn diagram are given below -

Hence, "option 4" is the correct answer.

The logic followed here is:

Sculptor is uses Chisel for his work.

Similarly,

Blacksmith is uses Anvil for his work.

Hence, "Blacksmith" is the correct answer. 

Important Points

• Anvil, iron block on which metal is placed to be shaped, originally by hand with a hammer. The blacksmith's anvil is usually of wrought iron, but sometimes of cast iron, with a smooth working surface of hardened steel. A projecting conical beak, or horn, at one end is used for hammering curved pieces of metal.
• Profession blacksmith. Blacksmiths heat metal, usually steel, in a forge and shape it with a hammer, chisel, and an anvil. Contemporarily, they predominantly create artisanal metal products, including ornamental work, as well as horse shoes, one of the sole metal fabricating processes that has not been industrialized.

The logic followed here is:

In which we take five letter of group which repeat "lgcht" which are given below -

From option-1

lgcht lgcht lgcht lgcht lgcht, In which five letter of group which repeat 'lgcht', So this combination is correct.

From option-2

lgcht lgcht lgcht hgclt lgcht, In which five letter of group which did not repeat 'lgcht', So this combination is not correct.

From option-3

lhcht lgcgt lghht cgclt lgcht, In which five letter of group which did not repeat 'lgcht', So this combination is not correct.

From option-4

lhcht lgcht lgght cgclt lgcht, In which five letter of group which did not repeat 'lgcht', So this combination is not correct.

Hence, "option 1" is the correct answer.

The logic followed here is:

‘DOLPHIN’ is written as ‘EPMPGHM’ 

Similarly, 'CORDIAL' is written as -

Hence, "DPSDHZK" is the correct answer.

The logic followed here is:

An English dictionary order first come,

Palindrome before Protest, Probability, Pathetic, Parking because Pal come before Pro, Pro, Pat and Par in alphabetical order, then Parking before Protest, Probability, Pathetic because Par come before Pro, Pro and Pat in alphabetical order, then Pathetic before Protest, Probability because Pat come before Pro and Pro in alphabetical order, then Probability before Protest because Prob come before Prot in alphabetical order and then last come Protest in alphabetical order.

2. Palindrome
3. Parking
4. Pathetic
5. Probability
6. Protest

Hence, "option 3" is the correct answer.

From figure I and II we take common letter E, then take clock wise direction from the common point E.

A is opposite to 9, I is opposite to O, and E is opposite to U.

And, from II and III we take common letter 9, then take clock wise direction from the common point 9.

O is opposite to I, E is opposite to U, and 9 is opposite to A.

Similarly, from III and I we take common letter I, then take clock wise direction from the common point I.

U is opposite to E, 9 is opposite to A, and I is opposite to O.

From I and II -

From II and III -

From III and I -

After observing from I and II, II and III, III and I. E will be on the face opposite to the face having the letter ‘U’

Hence, "E" is the correct answer.

The correct answer is Tripura.​

Key Points 

• The Rowa Wildlife Sanctuary is situated in the Panisagar Sub-division of North Tripura district.
• Tripura is also comprised of another Wildlife Sanctuary situated in Rajbari National Park.

Important Points 

• Tripura has mainly two National Parks:

1. ​Clouded Leopard National Park.
2. **Rajbari National Park.**​

Additional Information

• ​According to National Wildlife Database, there are 565 wildlife sanctuaries in India.

The correct answer is Odisha.

Key Points

• Veer Surendra Sai was a Freedom Fighters of Sambalpur, Odisha.
• His life's timeline: 23 January 1809-28 February 1884.
• He sacrificed his life fighting against the British East India Company.
• He died in Asirgarh Jail on 28 February 1884.

The correct answer is Shashi Shekhar Vempati.

Key Points

• He was elected as the Vice President of Asia Pacific Broadcasting Union (ABU) in December 2020 for three years.
• The Asia-Pacific Broadcasting Union was founded in 1964.
• It is a non-profit, professional association of broadcasting organizations.
• Currently, it comprises over 280 members in 57 countries and regions.
• Headquarters: Kuala Lumpur, Malaysia.

Additional Information

• Rakesh Mohan
• Rakesh Mohan is an Indian economist and former Deputy Governor of the Reserve Bank of India.
• He is the Vice-Chairperson of the Indian Institute for Human Settlements.
• Bina Agarwal    
• Bina Agarwal is an Indian development economist and Professor of Development Economics and Environment at the Global Development Institute at The University of Manchester.
• ​Hemant Pandey
• Hemant Pandey is an Indian film, theatre, and television actor.

The correct answer is Wodeyars.

Key Points 

• The Mysore Palace is also known as Mysuru Palace.
• It is a historical place and the Royal Residence at Mysore in the Indian state of Karnataka.
• It was established in 1912 although started built-in 1897.

Important Points 

• It was the residence of Wodeyars rulers who ruled Mysore for seven centuries.
• Its architectural style of domes is Indo Saracenic with blends of Hindu, Mughal, Gothic, and Rajput style.

Additional Information 

• Palas 
• It was an imperial power during the post-classical period which originated in the region of Bengal and ruled in Bihar too.
• They flourished between 500-1300 AD.
• Chandelas
• It was a dynasty in Central India, most of the region of Bundelkhand.
• Ruled between the 9^th-13^th centuries.
• Bundelas
• It was a clan of Rajputs who founded different states of the area in our country like now Bundelkhand.

The correct answer is Lord Jagannath.

Key Points

• Pattachitra art has been majorly inspired by the Lord Jagannath who is considered as the incarnation of Lord Krishna.
• It is a general term for traditional cloth-based scroll painting, based in the eastern states of India like Odisha and West Bengal.
• It is known for its intricate details as well as mythological narratives and folktales inscribed in it.

Additional Information

• This art form originated as early as the 12^th century.
• The name Pattachitra is taken from the Sanskrit language word 'patta', refers to "cloth" and 'chitra', refers to "the picture".
• Its style is a mix of both folk and classical elements with more inclination towards folk forms.

The correct answer is **1526.**​

Key Points

• Babur founded the Mughal Dynasty in the 16^th century by conquering Northern India from Kabul as his base.
• Babur was a warrior chieftain from which is now known as Uzbekistan, who defeated Ibrahim Lodhi, the Sultan of Delhi in the first battle of Panipat.
• Babur ruled for 4 years; 1526-1530.
• Mughal Dynasty ruled till 1720.

Important Points

• Chronological order of Mughal emperors:

The correct answer is HIV/AIDS.

Key Points

• The 'Love Brigade' campaign aims to educate people on the HIV/AIDS disease.
• It was started in Mizoram due to the highest prevalence of HIV/AIDS in the state.

Important Points

• On World AIDS Day MSACS (Mizoram State AIDS Control Society) launched this campaign with a fleet of 500 bikes and taxis.
• Collaborating partners: AIDS Healthcare Foundation (AHF) and Taxi Association, Mizoram.
• "Love condoms" the condoms which will be kept in the back pocket of the front seat with the little flap.

Additional Information

• AHF stated the prevalence rate as 2.04% amongst adults which is 10% higher than the National HIV prevalence that is 0.22%.
• The new infection rate of the state is 1.32% which is 20% higher than the national average of  0.07%.

The correct answer is Badminton.

Key Points

• Lakshya Sen, born in Almora on 16 August 2001 is an Indian badminton player.
• He belongs to a badminton family, His brother; Chirag Sen, is also an international badminton player.
• His father D. K. Sen, is a coach in India.

The correct answer is RS Sharma.

Key Points

• Ram Sewak Sharma is a former Indian bureaucrat.
• He was the first Director-General of the Unique Identification Authority of India and was subsequently appointed as the Chairman of the Telecom Regulatory Authority of India (TRAI).
• He was appointed as the CEO of the National Health Authority of India which administers the Ayushman Bharat Yojana health protection scheme.

Important Points

• Ayushman Bharat PM-JAY is the largest health assurance scheme in the world which aims at providing a health cover of Rs. 5 lakhs per family per year.
• Its secondary and tertiary care hospitalization to over 10.74 crores poor and vulnerable families.

Additional Information

• Ram Mohan Rao Amara
• ​He is a banker who took charge as the Managing Director & CEO at SBI Card in January 2021.
• He has been an integral part of the State Bank of India, India`s oldest and largest banking group.
• Anil Ladha
• He is the head of capital markets at ICICI Bank’s investment banking subsidiary, ICICI Securities.

The correct answer is Bridge.

Key Points

• Ruia Gold Cup is associated with Bridge.

Important Points

• Bridge
• Basalat Jha Trophy.
• Holkar Trophy.
• Ruia Gold Cup.
• Singhania Trophy.
• Badminton
• Agarwal Cup.
• Amrit Diwan Cup.
• Asia Cup.
• Austrelasia Cup.
• Chadha Cup.
• European Cup.
• Harilela Cup.
• ​Swimming
• Moment Cup Gold.
• Moment Cup Silver.

The correct answer is Ram Mohan Rao Amara.

Key Points

• Rama Mohan Rao Amara was appointed as the MD and CEO of SBI Card.
• His appointment is with effect from 30 January 2021 for a period of two years.

Additional Information

• Rajnish Kumar
• He is an Indian banker who held the designation of Chairman of the State Bank of India.
• He became chairman of the State Bank of India on 7 October 2017 and his three-year term ended on 6 October 2020.
• Ashwini Kumar Tewari
• He is a career banker and started his career in SBI in the year 1991 as a Probationary Officer.
• Currently, he is the Managing Director of State Bank of India handling the portfolio of International Banking, Information Technology and Associates & Subsidiaries of the Bank.(Oct 2021)
• Swaminathan Janakiraman
• He is an MD of the SBI. (Oct 2021)

The correct answer is Article 63.

Key Points

• Article 63 of the Indian Constitution states that "There shall be a vice president of India."
• The vice president acts as president in the absence of the president due to death, resignation, impeachment, or other situations.
• The vice president of India is also ex officio chairperson of the Rajya Sabha.

Additional Information

• Article 75 
• It states that The Prime Minister of India is appointed by the President.
• The political party contesting the elections appoints a representative from amongst the members of the party to be the PM.
• Article 56 
• It states the term of office of the President.
• ​Article 45
• It comprises the Provision for free and compulsory education for the children.​

The correct answer is Area.

Key Points

• Thrust is defined as the force acting perpendicular to the surface of an object.
• The formula of thrust:
• Thrust = Pressure × Area

​

Additional Information

• Mass is defined as the amount of matter in a substance.
• Density is defined as the ratio of the mass per unit volume.
• Volume is defined as the quantity of three-dimensional space occupied by a liquid, solid, or gas.

The correct answer is Afghanistan.है।

Key Points

• The Lalander (Shatoot) Dam agreement is signed between India and Afghanistan.
• It costs nearly $ 300 million, is a part of the New Development Partnership between India and Afghanistan.

Important Points

• Its motive is to meet the safe drinking water needs of Kabul City, provide irrigation water to nearby areas, rehabilitate the existing irrigation and drainage network, aid in flood protection and management efforts in the area, and also provide electricity to the region.
• This is the second major dam being built by India in Afghanistan, after the India- Afghanistan Friendship Dam (Salma Dam), which was inaugurated in June 2016$.

The correct answer is Galena.

Key Points

• Galena is NOT used to make toothpaste.
• Galena is the most important ore of lead. Silver is often produced as a by-product. Most lead is consumed in making batteries, however, significant amounts are also used to make lead sheets, pipes, and shots.
• It is also used to make low-melting-point alloys.
• Galena has a cubic lattice structure and is also a source of silver. The lead-in Galena is toxic if inhaled or ingested from dust particles, but the mineral or rock containing the mineral can be handled safely if there is no lead dust present.
• Many uses of lead and lead compounds have been discontinued or significantly reduced over the past few decades in response to health concerns.

Additional Information

• Galena is a lead sulfide mineral with a chemical composition of PbS. It is the world's primary ore of lead and is mined from a large number of deposits in many countries.
• The typical specimen of galena is about 86.6% lead and 13.4% sulfur by weight. However, some specimens of galena contain up to a few percent silver by weight.
• Galena is a gray, cubic, shiny, dense mineral most commonly associated with lead. It is one of the earliest minerals used by humans, and one of the most abundant sulfide minerals on the Earth.
• Some of these uses include lead in residential paints, motor vehicle fuels, solder, ammunition, fishing weights, ceramic glazes, pesticides, cosmetics, glass, plastics, alloys, and many other products.

The correct answer is Lift Channel.

Key Points

• A channel of the canal where water is forced to flow against the slope of land by upliftment is called a Lift channel.
• When the main source is at a lower level than the supply level. Then water is supplied through some mechanical means. This is known as lift irrigation.
• Lift irrigation is a method of irrigation in which water instead of being transported by natural flow (as in gravity-fed canal systems) requires external energy through fuel-based, or electric power using pumps or other mechanical means.
• The left channel method is used both for watering of a certain area as a whole and for water application to particular elevated sites in the area of gravity irrigation, For example, water is lifted from rivers or from irrigation canals.

Additional Information

The correct answer is a seismic wave.

Key Points

• An elastic wave generated by an impulse such as an earthquake or an explosion is called a seismic wave.
• Seismic waves are waves of energy that travel through Earth's layers and are a result of earthquakes, volcanic eruptions, magma movement, large landslides, and large man-made explosions that give out low-frequency acoustic energy.
• Earthquakes are usually caused when the underground rock suddenly breaks and there is rapid motion along a fault. This sudden release of energy causes seismic waves that make the ground shake.
• The earthquake is over when the fault stops moving. Seismic waves are generated throughout the earthquake.
• Three fundamental kinds of seismic waves are Primary (P = pressure) waves, Secondary (S = shear), and Surface waves.
• Seismic waves may travel either along or near the earth's surface (Rayleigh and Love waves) or through the earth's interior (P and S waves).

Additional Information 

The correct answer is Samuel Hahnemann.  

Key Points

• Homeopathy, the longest established alternative medicine to come out of Europe, was created in 1796 by Samuel Hahnemann.
• Christian Friedrich Samuel Hahnemann was born on 10 April 1755 in Meissen, Saxony, and died on 2 July 1843.
• He was a German physician. He studied medicine and graduated MD at the University of Erlangen on 10 August 1779.
• Samuel Hahnemann contributed to reforming the medical practices of the 18^th century by attributing the cause of disease to the internal environment of the host and thus originated the basic tenet that every individual reacts differently in health and disease.

Additional Information

The correct answer is Madhya Pradesh.

Key Points

• Madhya Pradesh state launched the SAANS (Social Awareness and Action to Neutralise Pneumonia Successfully) campaign in February 2021.
• The health department in Madhya Pradesh launched this campaign on 5 February 2021.
• The campaign was launched by the Hon’ble Health Minister Dr. Prabhuram Chaudhari, Mr. Mohammad Suleman (Additional chief Secretory GoM), Dr. Sanjay Goyal, Commissioner Health, Ms. Chhavi Bhardwaj (Mission Director, NHM, MP).
• The main purpose of the campaign is to reduce the death rate due to pneumonia among infants a strategy is being chalked out under the Social awareness campaign in which medical staff is being trained.
• The launch of SAANS aims “to intensify action for reducing mortality due to childhood Pneumonia in India to less than 3 per thousand live birth by 2025”.

Additional Information

• About SAANS campaign:
• Training will be imparted at the community and primary health centers.
• Around 4,000 Health and Wellness Centres have been set up in Madhya Pradesh for this purpose.
• The State government has also developed training modules in partnership with PGIMER, Chandigarh, and UNICEF, which will be used to enhance the skills of health workers, including doctors and paramedical staff.

The correct answer is AR Rahman.

Key Points

• AR Rahman was announced as the brand ambassador for the BAFTA (British Academy of Film and Television Arts) 'Breakthrough Initiative’ in November 2020.
• The initiative, supported by Netflix, aims to identify, celebrate, and support up to five talents working in film, games, or TV in India.
• As part of BAFTA Breakthrough India, a jury of British and Indian industry experts will select five talents from across India to take part in the year-long mentoring and guidance program.
• The participants will receive one-to-one mentoring, global networking opportunities, free access to BAFTA events and screenings for 12 months.

Additional Information

• BAFTA's annual film awards ceremony is known as the British Academy Film Awards, or "the BAFTAs".
• It is a reward for the best work of any nationality seen on British cinema screens during the preceding year.
• ​The 74^th edition of the British Academy Film Awards- BAFTA 2021 was held at Royal Albert Hall in London with nominees attending the awards virtually.
• Winners of BAFTA - 2021

The correct answer is Munshi Premchand.

Key Points

• Munshi Pemchand wrote the novel ‘Rangbhumi: The Arena of Life’.
• Rangbhoomi (The Arena of Life) is a Hindi language novel by Premchand that features an idealist protagonist inspired by Gandhian values.
• In this novel of epic proportions set in pre-Independence India, Premchand treads the tricky ground of tensions between the rulers and the ruled.
• Capturing the travails and traumas of peasant society, Rangbhumi celebrates the unassailable spirit of the common man.
• Rangbhumi was a product of both personal and political difficulties.
• The original Hindi novel, published in 1925, was critically acclaimed for its strong characterization and realistic portrayal of the times.
• Some of the famous works of Munshi Premchand include - Karmabhoomi, Kafan, Godan, Poos Ki Raat, Nirmala, Thakur Ka Kuan, Eidgah, Namak Ka Daroga, etc.

Additional Information 

The correct answer is Madan Lal Dhingra.

Key Points

• On 1 July 1909, in London Curzon Wyllie was assassinated by the Indian revolutionary Madan Lal Dhingra, who was a member of India House in London
• Sir William Hutt Curzon Wyllie was a British Indian army officer.
• Madan Lal Dhingra claimed that he had murdered Curzon-Wyllie as a patriotic act and in revenge for the inhumane killings of Indians by the British Government in India.
• When Curzon Wyllie, political aide-de-camp to the Secretary of State for India, was leaving the hall with his wife, Dhingra fired five shots right at his face, four of which hit their target.
• He was found guilty and sentenced to death. He was executed at Pentonville Prison on 17 August 1909.

Additional Information

• ​Madan Lal Dhingra was born on 18 February 1883 in Amritsar, India, and died on 17 August 1909.
• He was an Indian revolutionary, pro-independence activist, while studying in England, he assassinated William Hutt Curzon Wyllie.
• Curzon Wylie had joined the British Army in 1866 and the Indian Political Department in 1879. In 1901, he was selected to be Political Aide-de-Camp to the Secretary of State for India.
• He was also the head of the Secret Police and had been trying to obtain information about Savarkar and his fellow revolutionaries.
• On the evening of 1 July 1909, Madan Lal Dhingra, along with a large number of Indians and Englishmen had gathered to attend the annual 'At Home' function hosted by the Indian National Association at the Imperial Institute. 
• When Curzon Wyllie, political aide-de-camp to the Secretary of State for India, was leaving the hall with his wife, Dhingra fired five shots right at his face, four of which hit their target. a Parsee doctor Cawas Lalcaca tried to save Curzon Wyllie died of Dhingra's sixth and seventh bullets.

The correct answer is Shiva Temple, Chidambaram.

Key Points

• Shiva Temple, Chidambaram will find Gopurams.
• A gopuram or gopura is a monumental entrance tower, usually ornate, at the entrance of a Hindu temple.
• Chidambaram Nataraja temple is a Hindu Temple dedicated to Lord Nataraja is one of the forms of Lord Shiva as the lord of the dance.
• This temple is located in Chidambaram, Tamil Nadu, India. This temple has ancient roots and a Shiva shrine existed at the site when the town was known as Thillai.
• The present temple was built in the 10^th century when Chidambaram was the capital of the Chola dynasty.
• Owing to its pure Dravidian culture and magnificent architecture, Chidambaram is one of the most prominent pilgrimage destinations in India.
• The temple has nine major Gopurams gateways connecting the various courtyards. four of these are huge and colourful, visible from afar, a symbolic and convenient landmark for pilgrims.

Additional Information 

The correct answer is The Government of India Act, 1935.  

Key Points

• The Government of India Act, 1935 introduced federal features and provincial autonomy in the legislature and also made provisions for the distribution of legislative powers between the Centre and the provinces.
• The Government of India Act was passed by the British Parliament in August 1935 and came into effect in 1937 With 321 sections and 10 schedules.
• This was the longest act passed by British Parliament so far and was later split into two parts: Government of India Act 1935 and Government of Burma Act 1935.
• This act ended the system of dyarchy introduced by the Government of India Act, 1919, and provided for the establishment of a Federation of India to be made up of provinces of British India and some or all of the Princely states.
• Most scholars view the Act as a significant development in India’s constitutional and political history and agree that it was informed by a need to protect British interests rather than promoting self-government in India.

Additional Information

The correct answer is Mumbai.  

Key Points 

• RBL Bank, formerly known as Ratnakar Bank, is an Indian private sector bank headquartered in Mumbai.
• It was founded on 6^th August 1943 with two branches in Kolhapur and Sangli founded by Babgonda Bhujgonda Patil from Sangli & Gangappa Siddappa Chougule from Kolhapur.
• RBL bank received the banking license from the Reserve Bank of India in the year 1970.
• In August 2014, the name of the bank was changed to RBL Bank Limited.

Additional Information 

• The current MD and CEO of the bank as of October 2021 is Mr Vishwavir Ahuja.
• The bank provides the following facilities:
• corporate and institutional banking
• commercial banking
• branch and business banking
• retail assets
• development banking and financial inclusion
• treasury and financial market operations

Calculation:

The total number of candidates enrolled in institutes Q, R and S together = (30% + 12% + 18%) of 7500

⇒ 60% of 7500

⇒ 4500

The total number of candidates passed from the institutes Q, R and S together = (24% + 18% + 24%) of 4000

⇒ 66% of 4000

⇒ 2640

Required ratio = 4500 : 2640

⇒ 225 : 132

⇒ 75 : 44

⇒ Required ratio is 75 : 44

Shortcut Trick

Ratio of Savings to Expenditure = 25% : (100% − 25%) = 25 : 75 = 1 : 3

Income change is the weighted average of Savings change and Expenditure change.

Let the percentage increase in savings be x%.

⇒ (1 × x + 3 × 20) ÷ (1 + 3) = 29

⇒ x + 60 = 116 ⇒ x = 56

∴ The correct answer is 56%.

Alternate Method

Initial

Income = 100

Exp = 75

Sav = 25

Final

New Income = 129 (+29%)

New Exp = 90 (+20%)

New Sav = 39

+56%

Given:

Savings = 25% of Income

Increase in Expenditure = 20%

Increase in Income = 29%

Calculations:

Let the initial income of Radha be 100.

⇒ Initial Savings = 25% of 100 = 25

⇒ Initial Expenditure = Income − Savings = 100 − 25 = 75

Her income increases by 29%.

⇒ New Income = 100 + 29 = 129

Her expenditure increases by 20%.

⇒ New Expenditure = 75 + (20% of 75) = 75 + 15 = 90

⇒ New Savings = New Income − New Expenditure

⇒ New Savings = 129 − 90 = 39

Increase in Savings = New Savings − Initial Savings

⇒ Increase in Savings = 39 − 25 = 14

Percentage increase in Savings = (Increase ÷ Initial Savings) × 100

⇒ Percentage increase = (14 ÷ 25) × 100 = 14 × 4 = 56%

∴ The correct answer is 56%.

Additional Information

Income, Expenditure & Savings Relationship

Income = Expenditure + Savings. Any change in Income will be directly reflected as a proportional change in both Expenditure and Savings.

Percentage Change Formula

Percentage Change = (Final Value − Initial Value) ÷ Initial Value × 100. It is used to calculate the relative increase or decrease in a quantity over time.

Weighted Average Method

When a base quantity is divided into two parts, the overall percentage change is the weighted average of the percentage changes of the parts: Overall % = (Ratio₁ × %₁ + Ratio₂ × %₂) ÷ (Ratio₁ + Ratio₂).

Given:

Selling price = Rs. 176

Discount = 12%

Gain = 25%

Formula used:

Marked price = Selling price/(100 – D%)

Cost price : Marked price = (100 – discount%) : (100 + profit%)

Calculation:

Marked price = 176/[(100 – 12)/100]

⇒ Rs. 200

According to question

New discount = 0%

Cost price : 200 = (100 – 0) : (100 + 25)

⇒ 200 × 100/125

⇒ Rs. 160

∴ Cost price of the article is 160

Given:

∠ADE = ∠B

AD = 7 cm

BD = 5 cm

BC = 9 CM

Calculation:

In ΔABC and ΔADE

∠ADE = ∠ABC (Corresponding angles)

∠AED = ∠ACB  (Corresponding angles)

So ΔABC and ΔADE are similar by AA property

AB = AD + BD

⇒AB = 7 + 5

⇒ AB = 12 cm

 AD/AB = DE/BC

⇒ 7/12 = DE/9

⇒ DE = 63/12

⇒ DE= 5.25

∴ The value of DE is 5.25

Formula Used:

sin 30 = 1/2, sin 60 = √3/2, Tan 60 = √3, cos 60 = 1/2

sec 30 = 2/√3, cot 45 = 1, sec 60 = 2, cos 90 = 0

Calculation:

$\frac{2 \sin^2 30° \tan 60°-3 \cos^2 60° \sec^2 30°}{4\cot^2 45°-\sec^2 60°+ \sin^2 60°+\cos^2 90°}$

⇒ $\frac{2(\frac{1}{2})^2 (√3) - 3(\frac{1}{2})^2 (\frac{2}{√3})^2}{4(1)^2- (2)^2 + (\frac{√3}{2})^2 + 0}$

⇒ (2 × 1/4 × √3 – 3 × 1/4 × 4/3)/(4 × 1 – 4 + 3/4 + 0)

⇒ (1/2 × √3 – 1)/(3/4)

⇒ ((√3 -2)/2)÷ (3/4)

⇒ 2(√3 – 2)/3

∴ The value is $\frac{2(√ 3 - 2)}{3}$

Given:

If a five digit number 247xy is divisible by 3, 7 and 11

Calculation:

LCM of 3, 7, 11 is 231

According to question

Largest possible value of 247xy is 24799

when we divided 24799 by 231 we get 82 as a remainder

Number = 24799 – 82

⇒ 24717

Now x = 1 and y = 7

(2y – 8x) = (2 × 7 – 8 × 1)

⇒ (14 – 8)

⇒ 6

∴ Required value is 6

Given:

The ratio of two numbers = 5 : 8

If 5 is added to each of A and B, the ratio of A and B = 2 : 3

Calculation:

Let the two numbers be 5x and 8x respectively

When 5 is added to each number,

⇒ (5x + 5)/(8x + 5) = 2/3

⇒ (15x + 15) = (16x + 10)

⇒ x = 5

Now the sum of A and B = (5 × 5 + 8 × 5)

⇒ (25 + 40)

⇒ 65

∴ The sum of A and B is 65

Given:

Length of a rectangle is increased to its three times 

Breadth is decreased to its half

Formula used:

Area of rectangle = Length × Breadth

Calculation:

According  to the question

Let,

Original length = 1

Original breadth = 1

So,

New length = 3

New breadth = 1/2

Area of the rectangle = 1 × 1 = 1

New area of the rectangle = 3 × 1/2 = 3/2

Required ratio = 1 : 3/2 = 2 : 3

∴ The ratio of the area of given rectangle to the area of new rectangle is 2 : 3

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

3 ÷ 18 of 3 × 6 - 22 × 6 ÷ 18 - 3 ÷ 2 + 10 - 3 ÷ 9 of 3 × 9

⇒3 ÷ 54 × 6 – 22 × 6 ÷ 18 – 3 ÷ 2 + 10 – 3 ÷ 9 of 3 × 9

⇒ 1/3 – 22 × 6 ÷ 18 – 3 ÷ 2 + 10 – 3 ÷ 27 × 9

⇒ 1/3 – 22 × 6 ÷ 18 – 3 ÷ 2 + 10 – 1

⇒ 1/3 – 22 × 1/3 – 3/2 + 9

⇒ 1/3 – 22/3 – 3/2 + 9

⇒ (– 51 + 54)/6

⇒ 3/6

⇒ 1/2

∴ The value is 1/2

Given:

x – y = 11

1/x – 1/y = 11/24

Calculation:

1/x – 1/y = 11/24

⇒ (y - x)/xy = 11/24

⇒ -(x - y)/xy = 11/24

⇒ -11/xy = 11/24

⇒ xy = -24

Now,

x3 - y3 + x2y² = (x – y)³ + 3xy (x – y) + (xy)²

⇒ (11)³ + 3(-24) × 11 + 576

⇒ 1331 – 792 + 576

⇒ 539 + 576

⇒ 1115

∴ The value of x3 - y3 + x2y2 is 1115

Concept used:

sin30° = 1/2

sin60° = √3/2

sin90° = 1

tan45° = 1

sec45° = √2

cot30° = √3 

Calculation:

$\frac{8 \sin 30° \sin^2 60° - 4 \sin 90°- \sec^2 45°}{\tan^2 45°- \cot^2 30°}$

⇒ (8 × 1/2 × 3/4 – 4 × 1 – 2)/(1 – 3)

⇒ -3/-2

⇒ 3/2

∴ Required value is 3/2

Calculation:

Let x be the number of students whose weight is less than 50 kg = 20 + 45

⇒ 65

Let y be the number of students whose weight is greater than or equal to 60 kg = 40 + 5 

⇒ 45

Required ratio of x and y = 65 : 45

⇒ 13 : 9

∴ The value of x and y is 13 : 9

Given:

AB : AC = 5 : 2

BC = 9 cm

Concept used:

By external angel bisector theorem,

AB/AC = BE/CE

Calculation:

According to the given question

AB/AC = BE/CE (Using external angle bisector theorem)

⇒ 5/2 = (9 + CE)/CE

⇒ 5CE = 18 + 2CE

⇒ 3CE = 18

⇒ CE = 6 cm

∴ The length of CE is 6

Additional InformationBisector angle theorem - The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.

Given:

2cos2θ = 3sinθ

Formula used:

Sec²θ – tan²θ = 1

Calculation:

2cos2θ = 3sinθ

⇒ 2(1 – sin²θ) = 3sinθ

⇒ 2 – 2sin²θ = 3sinθ

⇒ 2sin²θ + 3sinθ – 2 = 0

⇒ 2sin²θ + 4sinθ – sinθ – 2 = 0

⇒ 2sinθ(sinθ + 2) – (sinθ + 2) = 0

⇒ (sinθ + 2) (2sinθ – 1) = 0

⇒ (sinθ + 2) = 0 or (2sinθ – 1) = 0

∴ sinθ = $1\over2$         and        sinθ = -2 

⇒ sinθ = sin30°           ⇒ sinθ = -2 (Not possible)

⇒ θ = 30° 

(sec2θ - tan2θ + cos2θ)

⇒ 1 + cos²θ = 1 + cos²30° 

⇒ 1 + $({\sqrt3\over2})^2$ = 1 + $3\over4$ = $7\over4$

∴ The value of (sec2θ - tan2θ + cos2θ) is $7\over4$.

Alternate Method As  0° < θ < 90°

So, take θ = 30° or 45° or 60° 

2cos2θ = 3sinθ

⇒ 2cos²30° = 3sin30° 

⇒ 2 × $({\sqrt3\over2})^2$ = 3 × $1\over2$

⇒ $3\over2$ = $3\over2$

Here, θ = 30° satisfies 2cos2θ = 3sinθ

Put θ = 30°

(sec2θ - tan2θ + cos2θ)

⇒  1 + cos2θ    [ ∵ sec2θ - tan2θ = 1]

⇒ 1 + cos2θ = 1 + cos230°             

⇒ 1 + $({\sqrt3\over2})^2$ = 1 + $3\over4$ = $7\over4$ 

∴ The value of (sec2θ - tan2θ + cos2θ) is $7\over4$.

Calculation:

Total number of males in all the five organizations = (250 + 225 + 325 + 275 + 150)

⇒ 1225

Average number of males in all the five organizations = 1225/5 = 245

Total number of females in all the five organizations = (300 + 275 + 250 + 200 + 125)

⇒ 1150

Average number of females in all the five organizations = 1150/5 = 230

Required ratio = 230 : 245

⇒ 46 : 49

∴ The ratio of average number of females in all the five organizations to the average number of males in all the five organizations is 46 : 49

Given:

Total interest after 9 years = Rs. 18358.60

Formula used:

SI = (P × R × T)100

Calculation:

Let the principal be P

For the first 2 years

SI = P × 8 × 2/100

⇒ 4P/25

For the next 4 years

SI = P × 4 × 10/100

⇒ 2P/5

For the next 3 years

SI = P × 3 × 12/100

⇒ 9P/25

Total interest in 9 years =  Rs. 18358.60

⇒ (4P/25 + 2P/5 + 9P/25) = 18358.60

⇒ 23P/25 = 18358.60

⇒ P = 19955

∴ The amount invested is Rs. 19955

Calculation:

The ratio of the average production of all flavors in 2012 = (50 + 50 + 65)

⇒ 165

Average production of all the flavors = 165/3 = 55

The ratio of average production of flavor A in 2012, 2013 and 2014 = (50 + 45 + 75)

⇒ 170

The average production of flavor A in 2012, 2013 and 2014 = 170/3 = 56.66

The ratio of average production of flavor C in 2012, 2013 and 2014 = (65 + 70 + 80)

⇒ 215

The average production of flavor C in 2012, 2013 and 2014 = 215/3 = 71.66

Difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 = (71.66 – 56.66)

⇒ 15

required ratio = 55 : 15

⇒ 11 : 3

∴ The ratio of the average production of all flavors in 2012 to the difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 is 11 : 3

Calculation:

Work = Persons × days × hours × 1/ units of work

⇒ (18 × 8 × 10)/3 = (25 × ? × 6)/5

⇒ 480 = 30?

⇒ 16 = ?

∴  25 persons to complete 5 units of work working 6 hours is 16 days

Given:

AD is a diameter

OB = 7 cm

∠OBA= 60° and ∠DOC = 60° 

Calculation:

∠ACD = 90° (inscribed angle by diameter)

In ΔOCD, OC = OD = Radius and ∠DOC = 60°

⇒ ΔOCD is an isosceles triangle

⇒ ∠OCD = ∠ODC = (180° - 60°)/2 = 60°

∠ACO = ∠BCO = ​∠ACD - ∠OCD = 90° - 60° = 30° 

∠OBA = ∠BOC + ∠BCO          ----(External Angle)

⇒ ∠BOC = 60° - 30° = 30° 

In ΔOBC

∠BOC = ∠BCO = 30° 

⇒ OB = BC 

⇒ BC = 7cm

∴ The length of BC is 7 cm.

Given:

Total students of class = 90

Calculation:

Number of girls in a class = 90 × 3/5 = 54

Number of boys in a class = 90 – 54 = 36

According to question

Average marks of boys = 63 × 36 = 2268

Average marks of girls = 70 × 54 = 3780

Total marks of boys and girls = (2268 + 3780)

⇒ 6048

Average marks of whole class = (6048/90)

⇒ 67.2

∴ The average marks of the whole class is 67.2

Given:

$\rm x - \frac{1}{x} = 5, x \ne 0,$

Formula used:

(a – b)3 = a3 – b3 – 3ab(a – b)

Calculation:

x – 1/x = 5

⇒ x3 – (1/x)3 – 3 × x × 1/x(x – 1/x) = 125

⇒ x3 – 1/x3 – 15 = 125

⇒ x3 – 1/x3 = 140

Now, according to the question

$\rm \frac{x^6 - 5x^3 - 1}{x^6 + 7x^3 - 1}$

⇒ (x³ – 1/x³ – 5)/(x³ – 1/x³ + 7) 

⇒ (140 – 5)/(140 + 7)

⇒ 135/147

⇒ 45/49

∴ The value of $\rm \frac{x^6 - 5x^3 - 1}{x^6 + 7x^3 - 1}$ is 45/49

Alternate MethodFormula used:

x - 1/x = k

x³ - 1/x³ = k³ + 3k

x – 1/x = 5

⇒ x3 – 1/x3 = 125 + 15

⇒ x3 – 1/x3 = 140

Now, according to the question

$\rm \frac{x^6 - 5x^3 - 1}{x^6 + 7x^3 - 1}$

⇒ (x3 – 1/x3 – 5)/(x3 – 1/x3 + 7) 

⇒ (140 – 5)/(140 + 7)

⇒ 135/147

⇒ 45/49

∴ The value of $\rm \frac{x^6 - 5x^3 - 1}{x^6 + 7x^3 - 1}$ is 45/49.

Given:

The length of the train = 240 m

The speed of the man = 6 km/h

Time = 9 sec

Formula used:

Speed = Distance/Time

Calculation:

Let the speed of train be x m/sec

Speed of the man = 6 km/h = 6 × 5/18 = 5/3 m/sec

According to the question

240 = (x – 5/3 ) × 9

⇒ 80 = (3x – 5)

⇒ 85 = 3x

⇒ x = 85/3 m/sec

Now,

Distance = Total distance covered by train and Tunnel = (240 + 372) m

⇒ 612 m

Speed = Distance/Time

⇒ [612/ (85/3)]

⇒ 21.6 sec

∴ Time taken to pass the long tunnel with a same speed is 21.6

Given:

Selling price of each articles = Rs. 10591

Gain = 19%

Loss = 11%

Calculation:

SP of each articles = Rs. 10591

CP of first article = Rs. (10591 × 100/119)

⇒Rs. 8900

CP of second article = Rs. (10591 × 100/89)

⇒ 11900

Total SP of both the article = 10591 × 2 = 21182

Total CP of both the article = 8900 + 11900 = 20800

Total Gain = 21182 – 20800 = 382

Gain percentage = (382/20800 × 100)

⇒ 1.83%

∴ His overall Profit percentage is 1.8%

Given:

∠BEC = 138° and ∠ECD = 35° 

Concept used:

In cyclic quadrilateral angles on the same arc are always same

Calculation:

∠BEC and ∠CED are on the same straight lines 

∠BEC  =138°

∠CED = 180° – 138° 

⇒ ∠CED = 42° 

In ΔCDE, ∠CED = 42° and ∠DCE = 35°

∠CDE = 180° - (42° + 35°)

∠CDE = 103° 

 ∠BAC and ∠BDC are on the same arc BC

We know that In cyclic quadrilateral angles on the same arc are always same.

∠BAC = 103°

∴  The measure of ∠BAC is 103°

Given:

16x2 + y2 = 48 and xy = 2, x, y > 0

Formula used:

(a + b)³ = a³ + b³ + 3(ab)(a + b)

Calculation:

⇒ 16x² + y² = 48

⇒ (4x)² + y² = 48

⇒ (4x)² + y² + 8xy = 48 + 8xy [∵ xy = 2]

⇒ (4x+y)² = 48 + 16

⇒ (4x+y)² = 64

⇒ (4x+y)² = (8)²

⇒ 4x + y = 8

By applying (a + b)³ = a³ + b³ + 3(ab)(a + b)

⟹ (4x+y)³ = 8³

⟹ 64x³ + y³ + 3(4xy)(4x+y) = 512

⟹ 64x³ + y³ + (3 × 8 × 8) = 512

⟹ 64x³ + y³ + 192 = 512

⟹ 64x³ + y³ = 512 – 192

⇒  64x3 + y3  = 320

∴  The value of (64x3 + y3) is 320

The correct answer is 'Quick'.

Key Points

• The word 'Prompt' refers to something done without delay; immediate. (बिना देर किए कुछ किया; तुरंत)
• Example: They've written back already - that was a very prompt reply.
• The synonyms of the word 'Prompt' are "quick, swift, rapid, speedy".
• Therefore we can say that the word 'Quick' is similar in meaning to the word 'Prompt'.
• Hence, option 2 is the correct answer.

Additional Information

• The word 'Prompt' is used as a verb, an adjective, an adverb, and also as a noun.
• Gradual:- taking place or progressing slowly or by degrees. (धीरे-धीरे या डिग्री के अनुसार हो रहा है या प्रगति कर रहा है)
• Slow:- moving or operating, or designed to do so, only at a low speed; not quick or fast. (चलती या संचालन, या ऐसा करने के लिए डिज़ाइन किया गया, केवल कम गति पर; जल्दी या तेज नहीं)
• Lengthy:- (especially in reference to time) of considerable or unusual length, especially so as to be tedious. ((विशेषकर समय के संदर्भ में) काफी या असामान्य लंबाई का, विशेष रूप से थकाऊ होने के लिए)

The incorrectly spelt word is 'Liesure'.

Key Points

• The correct spelling of the selected word is 'Leisure'.
• The word 'Leisure' (noun) refers to the time when you are free from work or other duties and can relax. (उस समय को संदर्भित करता है जब आप काम या अन्य कर्तव्यों से मुक्त होते हैं और आराम कर सकते हैं)
• Example:
• She has a limited amount of leisure time.
• The town lacks leisure facilities such as a swimming pool or squash courts.
• Hence, option 3 is the correct answer.

Additional Information

• Sincere:- free from pretense or deceit; proceeding from genuine feelings. (ढोंग या छल से मुक्त; वास्तविक भावनाओं से आगे बढ़ना)
• Grievance:- a real or imagined wrong or other cause for complaint or protest, especially unfair treatment. (शिकायत या विरोध का एक वास्तविक या काल्पनिक गलत या अन्य कारण, विशेष रूप से अनुचित व्यवहार।)
• Seize:- take hold of suddenly and forcibly. (अचानक और जबरन पकड़ना।)

The incorrect spelling is 'Alottment'.

Key Points

• The correct spelling of the selected word is 'Allotment'.
• The word 'Allotment' (noun) means the process of sharing something, or the amount that you get.
• Example:
• The allotment of the company's shares to its employees is still to be decided.
• We have used up this year's allotment of funds.
• Hence option 2 is the correct answer.

The correct answer is 'Doubt'.

Key Points

• The word 'Hope' means to want something to happen or to be true, and usually have a good reason to think that it might
• Example: I'm hoping for an interview next week.
• The antonyms for the word 'Hope' are "pessimism, despair, doubt".
• The word 'Doubt' refers to a feeling of not knowing what to believe or what to do, or the condition of being uncertain.
• Example: The future of the entire project is in some doubt.
• Therefore we can say that the word 'Doubt' is opposite in meaning to the word 'Hope'.
• Hence, option 3 is the correct answer.

The correct answer is 'Autonomy'.

Key Points

• The word 'Autonomy' (noun) means the quality or state of being self-governing.
• Example: Demonstrators demanded immediate autonomy for their region.
• Synonyms for the word 'Autonomy' are "free will, self-determination, volition".
• Hence options 3 is the correct answer.

Additional Information

• Let's look into the meaning of the other given words:
• Democracy: A country in which power is held by elected representatives.
• Monarchy: A country that has a king or queen.
• Anarchy: A situation in which there is no organization and control, especially in society, because there is no effective government.

The correct answer is 'I asked Mrs. Gulyani, my neighbour's wife, if her husband was alright then'.

Key Points

• The given sentence is in Direct Speech. As per the given question we have to change it into Indirect Speech.
• The rules of changing Direct Speech to Reported Speech:
• The given sentence is an example of an interrogative sentence.
• Hence, 'Said to/said' will be changed into 'asked', 'inquired', 'interrogated', etc.
• If the question is closed-ended (when the answer is 'yes' or 'no'), conjunction if/whether is used.
• And, Commas and inverted commas will be removed.
• The given question is closed-ended. So, the conjunction 'if' will be used.
• 'Helping verb' will come after the subject.
• 'Is' will be changed to 'was'.
• The word 'now' will be changed to 'then'.
• Question mark (?) will be replaced with full-stop (.).
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

Correct sentence: I asked Mrs. Gulyani, my neighbour's wife, if her husband was alright then.

The correct answer is 'My face was burned by the sunrays'.

Key Points

• The given sentence is in Active Voice. As per the given question we have to change it into Passive Voice.
• The process of transformation is as follows: 
• The structure of the given sentence is as follows:
• Subject + V₂+ Object. (Active Voice)
• Subject (objective case)+ was/were + V₃ + Object (subjective case). (Passive Voice)
• Example:
• Their cousin showed them some rare photographs. (Active Voice)
• They were shown some rare photographs by their cousin. (Passive Voice)
• Here in the given question 'The sunrays' is the subject.
• And 'My face' is the object.
• The subject will be put in place of the object and the object will be put in place of the subject.
• And 'burned' will be changed to 'was burned'.
• The preposition 'by' will be added.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 4.

Correct sentence will be: My face was burned by the sunrays.