RRB NTPC CBT-I Official Paper (Held On: 9 Jan 2021 Shift 2) (Previous Year Paper)

The logic followed here is:

1) P is taller than Q.

P > Q

2) R is taller than S.

R > S

3) S is taller than Q but shorter than P and P is shorter than R.

R > P > S > Q

Thus, R is the tallest in all.

Hence, the correct answer is "R".

Given:

Total amount = Rs. 48000

Ratio of Anil and Aditya = 11 : 13

Concept used:

Concept of ratio and proportion

Calculation:

According to the question,

Share of Aditya = 48000 × 13/24

⇒ Rs. 26000

∴ The share of Aditya is Rs. 26000

Shortcut Trick Given, sinθ − cosθ = 0 ⇒ sinθ = cosθ Since the angle is in the 1st quadrant, θ = 45°. At θ = 45°, sinθ = cosθ = 1/√2. Now, substitute in sin3θ + 3cos3θ: ⇒ 4 × cos3(45°) = 4 × (1/√2)3 = 4 / (2√2) = √2. ∴ The correct answer is √2. Alternate Method Given: sinθ − cosθ = 0 Calculations: ⇒ sinθ = cosθ Divide both sides by cosθ: ⇒ tanθ = 1 Since θ lies in the first quadrant (0° < θ < 90°), we get: ⇒ θ = 45° We need to find the value of sin3θ + 3cos3θ Substitute θ = 45° into the expression: ⇒ sin3(45°) + 3cos3(45°) ⇒ (1/√2)3 + 3 × (1/√2)3 ⇒ 1/(2√2) + 3/(2√2) ⇒ (1 + 3) / 2√2 ⇒ 4 / 2√2 ⇒ 2 / √2 ⇒ √2 ∴ The correct answer is √2. Additional Information Trigonometric Values at 45° For an angle of 45°, both sine and cosine functions have the same value: sin(45°) = 1/√2 and cos(45°) = 1/√2. Quadrant Sign Convention (ASTC Rule) In the 1st quadrant (0° to 90°), all trigonometric ratios are positive. In the 2nd quadrant, Sine and Cosecant are positive. Trigonometric Identities The fundamental Pythagorean identity is sin2θ + cos2θ = 1, which holds true for all real values of θ.

The correct answer is Karnataka.

• Bhadra Wildlife Sanctuary, a protected area and tiger reserve as part of Project Tiger, is located in Chikkamagaluru district, 23 km south of Bhadravati town, 38 km 20 km northwest of Tarikere town, north-west of Chikkamagaluru and Karnataka state.

Key Points

• Karnataka
• ​Capital: Bangalore
• National Parks: Anshi National Park, Bandipur National Park, Bannerghatta National Park, Kudremukh National Park, Nagarahole National Park.
• State Animal: Asian elephant
• State Bird: Indian roller
• State Tree: Indian Sandalwood
• State Flower: Lotus (Crape Jasmine)

Additional Information 

Given:

Amount = Rs. 26400

Time = 2 years

Rate = 5%

Formula used:

Amount = P + SI

S.I = (P × t × r)/100

P = Principal

t = Time

r = Rate of interest

Calculation:

P + (P × 2 × 5)/100 = 26400

⇒ P + P/10 = 26400

⇒ 11P/10 = 26400

⇒ P = 26400 × 10/11

⇒ P = Rs. 24000 

∴ The sum is Rs. 24000

The logic followed here is:

Hence, the correct answer is "J10U21".

The correct answer is Project Tiger.

Key Points

• Project Tiger was started in 1973 with 9 tiger reserves to conserve our national animal, the tiger.
• Tiger sanctuaries have been set up on a core/buffer strategy. Core areas have the legal status of a national park or sanctuary, while buffer or peripheral areas are a mixture of forest and non-forest land, managed as multi-use areas.
• It is a centrally sponsored scheme of the Ministry of Environment, Forest, and Climate Change that provides central assistance to tiger states for tiger conservation in designated tiger reserves.
• The process of estimating the number of tigers in a given area is called 'Tiger Census'.
• Every 4 years the National Tiger Conservation Authority (NTCA) conducts a tiger census across India.

Additional Information

Some of the Tiger Reserves are:

The correct answer is Gopal Krishna Gokhale.

Key Points

Swadeshi Movement of 1905-07:

• The movement had its roots in the anti-partition movement, which was launched to protest Lord Curzon's decision to divide the province of Bengal.
• The anti-partition campaign was launched by the moderates to put pressure on the government to stop the unjust partition of Bengal from being implemented.
• The leaders of the Swadeshi movement advocated belligerent opposition to colonial rule, a group of "liberals" that preferred a more gradual and persuasive approach.
• The Swadeshi Movement of 1905-07 had greatly broadened its appeal among the middle class. Among the moderate leaders were Gandhi's recognized political mentor, Gopal Krishna Gokhale, as well as Muhammad Ali Jinnah who, like Gandhi, was a London-trained advocate of Gujarati extraction. On Gokhale's advice, Gandhi spent a year travelling to British India, getting to know the land and its people.​

Important Points

Gopal Krishna Gokhale:

• Gopal Krishna Gokhale was a great social reformer and educationist.
• In 1905, he became the President of the Congress in the Banaras session.
• He founded the Servants of India Society in 1905 for the expansion of Indian education.

Additional Information

Bal Gangadhar Tilak

• He was an Indian nationalist, the independent activist who fought for India's independence.
• The Britishers called him "the father of the Indian unrest".
• Mahatma Gandhi called him "The Maker of Modern India".

Bipin Chandra Pal

• He was an Indian nationalist, social reformer, freedom fighter.
• He was one of the main architects of the Swadeshi Movement along with Sri Aurobindo

Lala Lajpat Rai

• He was an Indian nationalist, social reformer, freedom fighter.
• He was popularly known as Punjab Kesari.
• He was also associated with the foundation of the Punjab National Bank in 1894.

Given:

∠QBC = 70°

PQ || AC

Concept used:

The alternate segment theorem (also known as the tangent-chord theorem) states that in any circle, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.

Calculation:

∠QBC = ∠BQP [∵ PQ || AC]

With the help of alternative  segment theorem

∠BPQ = ∠QBC

So,

∠BQP and ∠BPQ = 70°

So ∠PBQ = 180 - 140

⇒ 40°

∴ ∠PBQ is 40°

Given:

Time = $1 \frac{1}{2}$years

Rate = 10%

Formula used:

SI = (P × t × r)/100

CI = P(1 + (r/2)/100)²ⁿ - P [When CI calculating in semi annually]

Calculation:

Let Principal be Rs. 8000x

So SI = (8000x × 3 × 10)/200

⇒ 1200x

So CI = 8000x(1 + 10/200)³ - 8000x

⇒ 8000x × 9261/8000 - 8000x

⇒ 9261x - 8000x

⇒ 1261x

Difference = 1261x - 1200x = 61x

61x = 305

⇒ x = 5

So Principal = Rs. 40000

∴ The sum of money is Rs. 40000

Alternate Method5% = 1/20Let P = 8000

8000 × 1/20 = 400

1st → 400

2nd → 400 + 20 [400 × 1/20]

3rd → 400 + 40 [800 × 1/20] + 1 [20 × 1/20]

So, difference = 20 + 40 + 1 = 61

Here 61 = 305

1 = 5

8000 = 40000

Given:

Total quantity = 1.5 kg

No. of boys = 10

Concept used:

Average = Total of elements/No. of elements

Calculation:

1.5 kg = 1500 g

So Each boys = 1500/10 = 150 g

∴ 150g cake will each boy get.

The correct answer is Matter.

• Everything in this universe is made up of the following materials. Scientists name it matter.

Key Points

• The universe is a collection of billions and trillions of stars and galaxies, along with planets, asteroids, comets and clouds of dust, and several gases all swirling in space.
• Everything in this universe is made up of material which is called matter. A matter is referred to as a substance that has a certain mass and takes up a certain volume in space.
• For example, we human beings are matter as well as a pencil or a vehicle is also a matter. So the matter is both a living and a non-living thing.
• The matter is composed of atomic and subatomic things (electron, proton, and neutron). Matter does not include mass-less objects like light, photons, and sound.
• Matter exists in different phases. The most common are solid, liquid, and gaseous phases.

Additional Information

The correct answer is Alaska.

Key Points

• Alaska is a state in the western United States located at the northwestern end of North America.
• The purchase of Alaska in 1867 marked the end of Russian efforts to expand trade and settlements along the Pacific coast of North America and became a significant step in the rise of the United States as a great power in the Asia-Pacific region.
• Beginning in 1725, when Russian Czar Peter the Great sent Vitus Bering to explore the Alaskan coast, Russia had a keen interest in the region, which was rich in natural resources and lightly inhabited.
• Russia offered to sell Alaska to the United States in 1859, believing that the United States would harbor the design of Russia's biggest rival in the Pacific, Great Britain.
• Alaska became the gateway to the Klondike Goldfields.
• The strategic importance of Alaska was eventually recognized in World War II.  Alaska became a state on January 3, 1959.​

Given:

0.83 + 44.4 + 4.44 + 4.604 + 43

Concept used:

a.bc × 100 = abc

Calculation:

0.83 + 44.4 + 4.44 + 4.604 + 43 

⇒ 0.830 + 44.400 + 4.440 + 4.604 + 43.000

⇒ 0.830 + 4.440 + 4.604 + 44.400 + 43.000

⇒ 9.874 + 87.400

⇒ 97.274

∴ Required answer is 97.274

The correct answer is Shri Guru Arjan Dev Ji.

Key Points

• Shri Guru Arjan Dev ji
• Guru Arjan was the first of the two Gurus martyred in the Sikh faith and the fifth of the ten total Sikh Gurus.
• He compiled the first official edition of the Sikh scripture called the Adi Granth, which later expanded into the Guru Granth Sahib.
• He completed the construction of Darbar Sahib at Amritsar after the fourth Sikh Guru founded the town and built a pool.
• Guru Arjan compiled the hymns of previous Gurus and of other saints into Adi Granth, the first edition of the Sikh scripture, and installed it in the Harimandir Sahib.​

Additional Information

• ​​​​Shri Guru Tegh Bahadur ji
• He was the ninth of the ten Gurus who founded Sikhism.
• He was executed under the orders of Aurangzeb.
• He was a learned spiritual scholar and a poet, whose 115 hymns are included in the Sri Guru Granth Sahib, the main text of Sikhism.
• Shri Guru Har Rai Ji
• He revered as the seventh Nanak, was the seventh of ten Gurus of the Sikh religion.
• He became the Sikh leader at age 14, on 3 March 1644, after the death of his grandfather and the sixth Sikh leader Guru Hargobind.
• Shri Guru Har Govind Ji
• He was revered as the sixth Nanak.
• He was the sixth of ten Gurus of the Sikh religion.
• He had become Guru at the young age of eleven, after the execution of his father.

The correct answer is Atal Bihari Vajpayee.

• The Red Line, the first line of the Delhi Metro, was inaugurated on 24 December 2002 by the then Prime Minister of India, Atal Bihari Vajpayee.
• The Delhi Metro became the second underground rapid transit system in India after the Kolkata Metro, when the Vishwa Vidyalaya–Kashmere Gate section of the Yellow Line was opened on 20 December 2004.
• Vajpayee and other guests boarded the train from Kashmere Gate and got down at Seelampuri station.

Key Points

• Delhi Metro
• The Delhi Metro is a mass rapid transit system serving Delhi and its satellite cities.
• It is by far the largest and busiest metro rail system in India and the second oldest after the Kolkata Metro.
• The network consists of 10 color-coded lines serving 254 stations with a total length of 348.12 Km.
• Delhi Metro also interchanges with the Rapid Metro Gurgaon and Noida Metro.
• The Red Line was the first line of the Metro to be opened and connects Rithala in the west to Shaheed Sthal in the east, covering a distance of 34.69 km.
• Atal Bihari Vajpayee
• He served three terms as the Prime Minister of India.
• He was a member of the Rashtriya Swayamsevak Sangh, a Hindu nationalist volunteer organization.

Additional Information

• E Sreedharan
• He is an Indian engineer and politician from the Indian state of Kerala.
• He is credited with changing the face of public transport in India with his leadership in building the Konkan Railway and the Delhi Metro.
• He served as the Managing Director of Delhi Metro Rail Corporation between 1995 and 2012.
• He is a member of the Mata Vaishno Devi Shrine Board.

The logic followed here is:-

We multiply by 2 in the first column and first-row number then we get the second column and first-row number, then we multiply by 2 in the second column and first-row number then we get the third column and first-row number, and then we multiply by 2 in the third column and first-row number then we get the fourth column and first-row number, which is given below:-

Column 1 → 6, 12, 24, 48

Column 2 → 4, 8, 16, 32

Similarly, 

Column 3 → 3, ?, 12, 24

So, the final matrix is:-

Hence, "option 2" is the correct answer.

Given:

Length of ladder = 5 m

Concept used:

Pythagoras theorem

Calculation:

According to the question,

Distance from the wall to the foot of the ladder $= \sqrt{5^2 - 3^2}$

⇒ 4 m

Now it become 4 - 2.6 = 1.4 m

So height  $= \sqrt{5^2 - 1.4^2}$

⇒ $\sqrt{25 - 1.96}$

⇒ $\sqrt{23.04}$

⇒ 4.8

So ladder slide upwards by 4.8 - 3 = 1.8 m

∴ Ladder slides upwards on the wall is 1.8 m

The alphabet template is given below:-

The logic followed here is:-

If B is equal to 2, V is equal to 22 and R is equal to 18 that means we put the place value of letter, which is given below:-

Hence, "option 2" is the correct answer.

The pattern followed here is:

From the statement, we want to reach on time, so we wants to travel as fast as we can and we mentions that go by airplane to reach Bengaluru from Mumbai quickly.

Thus, we can assume that Bengaluru and Mumbai are connected by airplane service.

Assumption I is implicit.

We can go from Bengaluru to Mumbai in another way also, so we cannot say anything about assumptions 2.

Assumption II is not implicit.

So, only 1 is implicit.

Hence, "option 3" is the correct answer.

Additional Information

• If there are two or more sentences that are used to frame a statement, then, the sentences must be interrelated, and mutual contradiction should be there.
• Do not look for truthful notions. The information provided in the statement is the only requirement for a student to answer the question. No assumptions must be made.
• Read the statement carefully and look for keywords that are common between the statement and the conclusions
• If there is more than one conclusion that is applicable to the statement, students must ensure that the conclusions they opt for have some relation with each other.

The correct answer is Gujarat.

Key Points

• The White Revolution was started in 1970.
• It was an initiative of the National Dairy Development Board (NDDB) of India and was the largest dairy development program in the world.
• This is known as Operation Flood.
• It transformed India from a milk deficient country to the largest milk producer in the world.
• Operation Flood was based on the experimental pattern established by Verghese Kurien.
• The Amul-Anand Milk Union Limited Gujarat-based collaboration was the engine that drove the success of the Operation Flood program.

Additional Information

• Gujarat
• ​Capital: Gandhinagar
• National Parks: Vansda National Park, Blackbuck National Park, Gir National Park, Marine National Park.
• State Animal: Asiatic Lion
• State Bird: Greater Flamingo
• State Tree: Disputed Various official websites disagree on state tree.
• State Flower: Marigold

The logic followed here is:

Given that:-

In a row of girls, Mahua is 7th from one extreme end.

In a row of girls, Mahua is 11th from other extreme ends.

Total number of girls in the row = Mahua position from one end + Mahua position from other end - 1 (Because Mahua added two times.)

Total number of girls in the row = 7 + 11 - 1 = 18 - 1 = 17.

Hence, "option 1" is the correct answer.

Given:

$1800 \div 10 \times {45 \div (17 - 2)} \times 2 + {- 2(1 + 2)}$

Formula used:

BODMAS Rule

Calculation:

$1800 \div 10 \times {45 \div (17 - 2)} \times 2 + {- 2(1 + 2)}$

⇒ $1800 \div 10 \times {45 \div 15} \times 2 + {- 2 \times 3}$

⇒ $180 \times 3 \times 2 - 6$

⇒ $540 \times 2 - 6$

⇒ $1080 - 6$

⇒ 1074

∴ The correct answer is option (3).

The correct answer is Anthracite.

• Anthracite is the best quality of coal with the highest calorific value and has a carbon content of 80 to 95%.
• It ignites slowly with a blue flame and is found in small quantities in Jammu and Kashmir.
• It is a very low volatile substance.
• This is a negligible ratio of moisture.
• Semi-metallic luster.

Key Points

• The rank of coal is based on the amount of the plant converted into carbon. Based on this four types of coal are generated:-
• Anthracite
• Bituminous
• Lignite
• Peat

Additional Information

• Bituminous
• It is soft coal; the most widely available and used coal.
• Derives its name after a liquid called bitumen.
• Contains 40 to 80 % Carbon.
• Moisture and volatile content.
• Lignite
• It is a Brown Coal.
• Lower-grade coal.
• Contains 40 to 55% carbon.
• Dark to black-brown.
• It undergoes Spontaneous combustion.
• ​Peat
• The first stage of transformation.
• Contains less than 40 to 55% carbon.
• Contains sufficient volatile matter and a lot of moisture.
• It burns like wood, gives less heat, emits more smoke and leaves a lot of ash.

Given:

12 ÷ (3 × 2) + 8 × 4 - 4

Concept used:

Calculation:

12 ÷ (3 × 2) + 8 × 4 - 4

⇒ 12 ÷ 6 + 8 × 4 - 4

⇒ 2 + 8 × 4 - 4

⇒ 2 + 32 - 4

⇒ 30

∴ Required answer is 30

The logic followed here is:-

Square root of first number and add 1 then cube of that number we get second number. 

Similarly, for third and fourth number.

Hence, "option 4" is the correct answer.

The correct answer is Arundhati Roy.

Key Points

• The God of Small Things is a novel written by Indian writer Arundhati Roy.
• Arundhati Roy was awarded Man Booker Prize for fiction in 1997 for her novel The God of Small Things.
• Her notable works include The God of Small Things, The Ministry of Utmost Happiness, Kashmir: the case of freedom, Azadi: Freedom Fascism, Fiction.

Additional Information

• Chetan Bhagat
• In 2010, he was included in Time magazine's list of the world's 100 most influential people.
• His notable works: Five Point Someone, 2 States, The 3 Mistakes of My Life, Half Girlfriend.
• Kiran Desai
• In 2006, she was awarded the Man Booker Prize for her novel The Inheritance of Loss.
• In 2015, The Economic Times listed her as one of the 20 most influential global Indian women.
• Her notable works: The Inheritance of Loss, Hullabaloo in the Guava Orchard.
• Salman Rushdie
• He is an Indian-born British-American novelist and essayist.
• His work, combining magical realism with historical fiction, is primarily concerned with the many connections, disruptions, and migrations between Eastern and Western civilizations, with much of his fiction being set on the Indian subcontinent.
• His second novel, Midnight's Children (1981), won the Booker Prize in 1981.

According to the question,

10y + x + 9 = 3(10x + y)

⇒ 10y + x + 9 = 30x + 3y

⇒ 29x - 7y = 9      ----(i)

29x - 7y = x + y

⇒ 28x = 8y

⇒ x and y = 2 and 7

So, the number is 20 + 7 = 27

∴ The number is 27

Given:

Total passenger at the beginning = 450

Concept used:

Final = Initial + inclusion or - exclusion

Calculation:

Passenger after 1st stop = 450 × 8/9 + 20

⇒ 420

Passenger after 2nd stop = 420 × 5/6 + 19

⇒ 369

∴ 369 passenger were there when train arraived at the third stop.

Given:

Base = 12 cm

Concept used:

P² + b² = h²

Calculation:

Let height be x cm

So, hypotenous is (x + 6) cm

(x + 6)² - x² = 144

⇒ x2 + 36 + 12x - x2 = 144

⇒ 12x = 108

⇒ x = 9

⇒ height = 9 cm

So, hypotenous is 15 cm

Perimeter = 9 + 12 + 15

⇒ 36 cm

∴ The perimeter of the triangle is 36 cm

The correct answer is Novak Djokovic.

• As of October 2020, Novak Djokovic was the number one player on the ATP rankings with 11,740 points.

Key Points

• Novak Djokovic
• He is a Serbian professional tennis player.
• As of October 2020, Novak Djokovic was the number one player on the ATP rankings with 11,740 points.
• He has won a joint record of 20 Grand Slam men's singles titles, including a record of nine Australian Open titles.
• He has won 86 ATP singles titles, including a record 37 Masters events.

Additional Information 

• Alexander Zverev
• He is a German professional tennis player.
• He has been ranked by the Association of Tennis Professionals as high as world No 3.
• He has won 19 ATP titles in singles and two in doubles.
• Roger Federer
• He is a Swiss professional tennis player.
• He has won 20 Grand Slam men's singles titles.
• Rafael Nadal
• He is a Spanish professional tennis player.

Given:

2x4 - 7x3 + x + k = 0

Concept used:

if (ax - b) is a factor of a certain equation then

x = b/a

Calculation:

If (2x − 1) = 0,

x = 1/2​

If (2x − 1) is a factor of p(x) then p(1/2​) = 0

p(x) = 2x4 - 7x3 + x + k

⇒ p(1/2) = 2 × 1/16 − 7 × 1/8 + 1/2 + k = 0

⇒ 1/8 - 7/8 + 1/2 + k = 0

⇒ (1 - 7 + 4)/8 + k = 0

⇒ -2/8 + k = 0

⇒ - 1/4 + k = 0

⇒ k = 1/4

∴ Value of k is 1/4

The correct answer is Bekal Fort.

Key Points

• Bekal Fort was built by Shivappa Nayaka of Keladi in 1650 AD, at Bekal.
• It is the largest fort in Kerala, spreading over 40 acres.
• The fort appears to emerge from the sea.
• India declared Bekal Fort a special tourism area in 1992.​

Additional Information

• Meenakshi Amman temple
• It is a historic Hindu temple located on the southern bank of the Vaigai River, Tamil Nadu.
• It is dedicated to the goddess Meenakshi, a form of Paravati, and her consort, Sundareshwar a form of Shiva.
• Valluvar Kottam
• It is a monument in Chennai.
• It is dedicated to the classical Tamil poet-philosopher Valluvar.
• It is the city's biggest Tamil cultural center.
• Padmanabhapuram Palace
• Padmanabhapuram Palace is a Travancore-era palace located in Padmanabhapuram in the Kanyakumari district of the Indian state of Tamil Nadu.
• It is possible it is the oldest palace in India.

The correct answer is Maharashtra.

Key Points

• Indian Giant Squirrel (Shekaru in Marathi) is the state animal of the state of Maharashtra in western India.
• The Indian giant squirrel is a multi-colored tree squirrel species endemic to forests and woodlands in India.
• It is a diurnal, arboreal, and mainly herbivorous squirrel.

Important Points

• Maharashtra
• Capital: Mumbai
• National Parks: Chandoli National Park, Gugamal National Park, Nawegaon National Park, Sanjay Gandhi National Park, Tadoba National Park.
• State Animal: Indian giant squirrel
• State Bird: Yellow-footed green pigeon
• State Tree: Mangifera Indica
• State Flower: Pride of India/Jarul

Additional Information

The correct answer is Chauri Chaura.

Key Points

• On 1 August 1920, Gandhi started the non-cooperation movement against the government.
• Chauri Chaura incident took place in Gorakhpur district of United Provinces in British India.
• This includes using indigenous and boycotting foreign goods, especially machine-made clothing, and legal, educational and administrative institutions, "refusing to assist a ruler who misrules".
• During this incident, a large group of protesters participating in the non-cooperation movement clashed with the police, who opened fire.
• In retaliation, a police station was attacked and set on fire, killing all its men.
• In response, Mahatma Gandhi, who was strongly against violence, stopped the non-cooperation movement at the national level on 12 February 1922 as a direct result of this incident.

Additional Information

• Rowlatt Act
• The Rowlatt Act was passed by the Central Legislative Council in March 1919 to control the militant nationalist struggles and curtail the liberties of the people.
• The Bill provided for speedy trial of offenses by a special court and there was no appeal.
• The provincial government was empowered to search any place and arrest a suspect without a warrant. These gave the government unbridled powers to arrest suspects without trial and imprison them for a maximum of two years.
• This created a wave of anger among all sections and spread the nationwide movement by Gandhiji and laid the foundation of the non-cooperation movement. Gandhiji organized a Satyagraha on 14 February 1919. Gandhi was arrested on 8 April 1919.
• Quit India Movement
• The Quit India Movement is one of India's most important freedom struggle movements that led to the end of British rule in India.
• On 8 August 1942, Mahatma Gandhi initiated the Quit India Movement or Bharat Chodo Aandolan from Bombay.
• Gandhiji gave the slogan "Do or Die" in his speech at the Gowalia Tank Maidan now popularly known as August Kranti Maidan in Mumbai.
• The slogan 'Quit India' was coined by Yusuf Meherally who was a socialist and also a trade unionist. He also served as Mayor of Mumbai. He also coined the slogan "Simon Go Back".
• Khilafat Movement
• The Khilafat movement was an agitation by Indian Muslims allied with Indian nationalism in the years following World War I.
• Its purpose was to pressure the British government to preserve the authority of the Ottoman Sultan as Caliph of Islam following the breakup of the Ottoman Empire at the end of the war.

The correct answer is 1024.

• Computer Storage is often measured in megabytes (MB) and gigabytes(GB):
• 1 KB (Kilobytes) = 1024 bytes
• 1 Mb (Megabytes) = 1024 KB
• 1 GB (Gigabytes) = 1024 MB
• 1 TB (Terabytes) = 1024 GB

Key Points

• Generally, there are two types of Storage Devices
• Primary Storage Devices such as RAM and ROM
• Secondary Storage Devices such as Hard Drive, Floppy Disk.

The logic followed here is:-

Almirah is used for storing things.

Similarly, 

The chair is used for sitting.

Hence, "option 2" is the correct answer.

Additional Information

• The bed is used for laying down.
• The rack is used for keeping items.
• The stool is used for standing.

Given:

Mean of 21 observations is 42

Mean of 1st 11 observations= 50

Mean of last 11 observations = 35

Concept used:

Average = Sum of elements/No. of elements

Calculation:

Total of 21 observation = 42 × 21

⇒ 882

Total of 1st 11 observation = 11 × 50

⇒ 550

Total of last 11 observation = 11 × 35

⇒ 385

Total = 935

So, 11th observation = 935 - 882

⇒ 53

∴ The 11th observation will be 53

Given:

Varun = 3 × Sister

Concept used:

x² – (sum of roots)x + product of roots = 0

Calculation:

According to the question,

(V + 6) × (S + 6) = 231

⇒ (3S + 6)(S + 6) = 231

⇒ 3S² + 18S + 6S + 36 = 231

⇒ 3S2 + 24S - 195 = 0

⇒ S2 + 8S - 65 = 0

⇒ S2 + 13S - 5S - 65 = 0

⇒ S(S + 13) - 5(S + 13) = 0

⇒ (S + 13)(S - 5) = 0

⇒ S = - 13, 5

Age cannot be in negative

So age of sister = 5 years

So, age of Varun is 15 years

∴ Varun's present age is 15 years

Given:

A = 15% less than C

B = 32% less than C

Concept used:

If X is a% less than Y then X = Y × (100 - a)/100

Calculation:

A = 17/20 of C

B = 17/25 of C

LCM of 20 and 25 is 100

So A = 85

B = 68

% = (85 - 68)/85 × 100

⇒ 1/5 × 100

⇒ 20%

∴ B is 20% less than A

Given:

$\sqrt{56+\sqrt{185+88\sqrt{\sqrt{36}+19}}}$

Formula used:

$\sqrt{x}$ evaluation

Calculation:

$\sqrt{56+\sqrt{185+88\sqrt{\sqrt{36}+19}}}$

⇒ $\sqrt{56+\sqrt{185+88\sqrt{6+19}}}$

⇒ $\sqrt{56+\sqrt{185+88\sqrt{25}}}$

⇒ $\sqrt{56+\sqrt{185+(88 \times 5)}}$

⇒ $\sqrt{56+\sqrt{185+440}}$

⇒ $\sqrt{56+\sqrt{625}}$

⇒ $\sqrt{56+25}$

⇒ $\sqrt{81}$

⇒ 9

∴ The correct answer is option (3).

The correct answer is Bindheshwari Prasad Mandal.

Key Points

• Bindheshwari Prasad Mandal
• He was an Indian politician.
• He chaired Mandal Commission which became a major political theme after 1990.
• He served as 7th Chief Minister of Bihar in the year 1968, but he had resigned after 30 days.
• He was also a parliamentarian who served as the chairman of the Second Backward Classes Commission.

Additional Information

• Bondheswari Pathak
• He is an Indian sociologist and social entrepreneur.
• He is the founder of Sulabh International, an Indian-based social service organization that works to promote human rights, environmental cleanliness, non-conventional sources of energy.
• He was awarded the Padma Bhushan, India's third-highest civilian award, in 1991.
• Rajinder Sachar
• He was an Indian layperson and former Chief Justice of the Delhi High Court.
• He was a member of the United Nations Sub-Commission on the Promotion and Protection of Human Rights.
• He also served as an advocate for the People's Union for Civil Liberties.
• He chaired the Sachar Committee constituted by the Government of India.
• Daulat Singh Kothari
• He was an Indian Scientist and educationist.
• He was president of the Indian Science Congress at its golden jubilee session in 1963.
• He was elected President of Indian National Science Academy in 1973.

Given:

1st tap fill in 4 days

2nd tap fill in 2 days

3rd tap fill in 12 hours

Concept used:

If a tap can fill a tank alone in x hours, then the efficiency (part of the work completed in one hour) = 1/x

Calculation:

The efficiency of taps = 1/4, 1/2, and 2

One day work of all taps together = 1/4 + 1/2 + 2

⇒ 11/4

So three taps will take 4/11 days to fill the tank

4/11 × 24 = 96/11 h [We need to convert days into hours]

⇒ $8\frac{8}{11}$ h

∴ It will take $8\frac{8}{11}$ hours to fill the pool using all three taps.

Shortcut Trick

Total efficiency = 1 + 2 + 8 = 11

Time = 96/11 =  $8\frac{8}{11}$ h

The correct answer is Kalpana Chawla.

Key Points

• Kalpana Chawla
• She was an American astronaut and engineer.
• She was the first woman of Indian origin to go to space.
• She first flew on Space Shuttle Columbia in 1997 as a mission specialist and primary robotic arm operator.
• She was one of the seven crew members who died in the Space Shuttle Columbia disaster.
• She is regarded as a national hero in India.
• She was posthumously awarded the Congressional Space Medal of Honor.

Additional Information

• Shawna Pandya
• She is a physician, Scientist-Astronaut candidate with Project PoSSUM, researcher, aquanaut, speaker, martial artist.
• She previously served as Commander during a 2020 tour at the Mars Desert Research station.
• She was named one of the Women's Executive Network's Top 100 Most Powerful Women in Canada in 2020.
• Sunita Williams
• She is an American astronaut and United States Navy officer.
• She formerly held the records for most spacewalks by a woman and most spacewalk time for a woman.
• She was assigned to the International Space Station as a member of Expedition 14 and Expedition 15.
• She served as a flight engineer on Expedition 32 and then commander of Expedition 33 in 2012.

The alphabet template is given below:-

The logic followed here is:-

If A is equal to 1, S is equal to 19 and G is equal to 7 that means we put the place value of the letter, which is given below:-

Hence, "option 1" is the correct answer.

Drums and flute both are musical instruments but no drums is flute.

The Venn diagram that best represents the relationship between Musical Instruments, Drums and Flute are given below:-

Hence, "option 3" is the correct answer.

Additional Information

• A flute is an aerophone or reed less wind instrument that produces its sound from the flow of air across an opening. According to the instrument classification of Hornbostel–Sachs, flutes are categorized as edge-blown aerophones.
• Drums are used to keep a steady beat in a song. They give music of many kinds a sense of feeling. For example, to make a song to be slow or fast, the drums play slower or faster. A drum is a percussion instrument, which means it makes a noise by being hit.

The correct answer is 2019.

Key Points

• Pulwama terror attack
• The Pulwama attack took place on 14 February 2019, when a convoy of vehicles carrying Indian security personnel on the Jammu-Srinagar National Highway was attacked by a vehicle-borne suicide bomber at Lethpora in Pulwama district of the erstwhile state of Jammu and Kashmir.
• 40 jawans of the Indian Central Reserve Police Force (CRPF) were killed in this attack.
• The responsibility of the attack was claimed by Pakistan-based Islamic terrorist group Jaish-e-Mohammed.
• This is the deadliest terror attack on India's state security personnel in Kashmir since 1989.
• On 26 February, twelve Mirage 2000 jets of the Indian Air Force crossed the Line of Control and dropped bombs in Balakot, Pakistan.​

Given:

SP = Rs. 1785

Concept used:

SP = CP × (100 - loss%)/100

SP = CP × (100 + profit%)/100

Calculation:

CP of the article = 1785 × 20/17

⇒ Rs. 2100 

SP should be 2100 × 23/20

⇒ Rs. 2415

∴ To gain 15% he should sell it at Rs. 2415

Additional Information

The correct answer is Bahadur Shah Zafar.

Key Points

• Bahadur Shah Zafar
• He was the last ruler of the Mughal Empire.
• He led Delhi in the revolt of 1857.
• He was more of a poet than a political leader or emperor.
• He was an accomplished Urdu poet and had good knowledge of Persian and Arabic as well.
• He was also a calligrapher and musician.

Additional Information

• Babur
• He is the founder of the Mughal Empire.
• He fought the first Battle of Panipat in 1526 with Ibrahim Lodhi and laid the foundation of the Mughal Empire.
• His autobiography Tuzuk-i-Babri was written in the Turkish Language.
• In 1527 his general Mir Baki built Babri Maszid.
• He died in 1530.
• Humayun
• He was the son of Babur.
• He was a mathematician and astronomer.
• His biography Humayunama was written by his sister Gulbadan Begum.
• Akbar
• He was born in 1542 at Amarkot.
• He fought the second battle of Panipat in 1556 with Hemu and he defeated Hemu.
• He abolished the religious tax Jizya.
• He founded a new religion "Din-i- Allahi".
• His biography was written by Abul Fazal " Ain-i-Akbari".

Given:

$\frac{(542+321)^2-(542-321)^2}{542 × 321}$

Formula used:

(a + b)² = a² + b² + 2ab

(a - b)2 = a2 + b2 - 2ab

Calculation:

$\frac{(542+321)^2-(542-321)^2}{542 × 321}$

⇒ $\frac{(542)^2;+;(321)^2;+;2×542 × 321;-;(542)^2;-;(321)^2 ;+; 2×542 × 321}{542 × 321}$

⇒ (4 × 542 × 321)/542 × 321

⇒ 4

∴ Required answer is 4

The correct answer is IBM.

• Video Graphics Array (VGA) is a system for displaying color graphics. It was developed by IBM.​

Key Points

• Video Graphics Array is a display standard or video display controller was developed by International Business Machines (IBM) Corporation in the year 1987.
• It uses analog signals which indicates its capacity to use a lower resolution and display lower quality on screens.
• Its predecessor is Enhanced Graphic Adapter.
• VGA was extended into many forms by third parties collectively known as super Video Graphics Array(successor of VGA).

Additional Information

• International Business Machines (IBM) Corporation is an American multinational technology corporation.
• Its headquarters is Armonk, Newyork.
• Macintosh is a family of personal computers designed manufactured and sold by Apple.Inc from the year 1984.
• Apple is an American multinational technology company that specializes in consumer electronics, computer software, and online services.
• It was founded on April 1, 1976.
• The headquarters is located in Cupertino, California, United States.
• Steve Jobs, Steve Wozniak, Ronald Wayne are the founders of the company.
• The current CEO of the company is Tim Cook.
• Microsoft is an American multinational technology corporation that produces computer software, consumer electronics, personal computers, and related services.
• Bill Gates and Paul Alien are the founders of the company.
• Its headquarters is Redmond, Washington, United States.
• The current CEO of the company is Satya Nadella.

Given:

Radius r₁​ = 5 cm

Radius r₂ ​= 10 cm

Formula used:

The surface area of a sphere = 4πr2

Calculation:

Initial surface area (r_1​ = 5) = 4πr₁²

⇒ 4 × 22/7​ × 25

⇒ (2200/7) cm²

New surface area (r₂​ = 10) = 4πr₂²

⇒ 4 × 22/7​ × 10 × 10 

⇒ (8800/7) cm²

Ratio of surface area = (2200/7) cm2 : ​(8800/7) cm2

⇒ 1 : 4

∴ Required ratio is 1 : 4

Shortcut TrickHere radius are 5 and 10

We know for this type of question

Volume always in the ratio of square

So, 5² : 10²

⇒ 25 : 100

⇒ 1 : 4

∴ Required ratio is 1 : 4

The correct answer is Sukanya Samriddhi.

• A special bank account known as Sukanya Samriddhi was launched as a part of the Beti Bachao Beti Padhao campaign.

Important Points

• Beti Bachao Beti Padhao is a campaign of the Government of India.
• It was launched on 22 January 2015 with initial funding of 100 crores.
• The campaign aims to create awareness and improve the efficiency of welfare services for girls in India.
• It is a joint initiative by the Ministry of Child and Development, Ministry of Education, Ministry of Health, and Ministry of Family Welfare to address the issue of declining child sex ratio.
• According to census data in India, the child sex ratio in India was 927 girls per 1000 boys in 2001 which decreased to 918 girls per 1000 boys in 2011.
• Reason for the Initiative: Sex-selective abortion, female feticide.

The correct answer is GDP.

• A good indicator of economic growth is a steady increase in the GDP.

 Key Points

• GDP: is the standard measure of the value-added created through the production of goods and services.
• GST: is an indirect tax used in India on the supply of Goods and Services
• It is a destination-based tax.
• It is imposed at every step in the production process which is meant to be refunded to all parties in various stages of final production other than the final consumer.
• Petroleum products, electricity, and alcoholic drinks are exempted from GST.

The correct answer is immediately after the Second World War.

• The UN was founded as a successor to the League of Nations in 1945 immediately after the Second World War.​

Key Points

• The United Nations is an intergovernmental organization whose purpose is to maintain international peace and security, to develop friendly relations between nations, to achieve international cooperation and to be the center of harmonious work of nations.
• The United Nations Charter was signed on 26 June 1945 and the Charter came into force on 24 October 1945.
• Its headquarter is in New York City.
• The United Nations was preceded by the League of Nations, which came into force on 10 January 1920.
• The League of Nations suffered frequent failures in the Japanese invasion of Manchuria and the Second Italo-Ethiopian War.
• To prevent future wars, the United Nations was established after World War II.
• The organization's objectives include maintaining international peace and security, protecting human rights, providing humanitarian assistance, promoting sustainable development, and upholding international law.
• The initial membership of the United Nations was 51 member states, which increased to 193 member states (as of 2021).
• Official languages: Arabic, Chinese, English, French, Russian, Spanish.
• The current Secretary-General is Antonio Guterres.

Important Points

• The United Nations has six principal organs namely
• The General Assembly.
• The Security Council.
• The Economic and Social Council(ECOSOC).
• The Trusteeship Council.
• International Court of Justice.
• The UN Secretariat.
• The United Nations system also includes a multitude of specialized agencies such as the World Bank Group, the World Health Organization, the World Food Programme, UNESCO, UNICEF.

Shortcut Trick

Using Cross-Multiplication Method: Initial Ratio = 3 : 2, Final Ratio = 5 : 4

Changes in terms = −8 and −6

Cross-product difference of ratios = |3 × 4 − 5 × 2| = 12 − 10 = 2 units

Cross-product difference of final ratio & changes = |5 × (−6) − 4 × (−8)| = |−30 + 32| = 2

⇒ 2 units = 2 ⇒ 1 unit = 1 ⇒ Numbers are 3 × 1 = 3 and 2 × 1 = 2

∴ The correct answer is 3, 2.

Alternate Method

Given:

Initial ratio of the two numbers = 3 : 2

Number subtracted from the first number = 8

Number subtracted from the second number = 6

New ratio formed = 5 : 4

3x

2x

−8

−6

5 parts

4 parts

Ratio Change Operation

Calculation:

⇒ Let the initial two numbers be 3x and 2x respectively.

⇒ According to the given condition:

⇒ (3x − 8) ÷ (2x − 6) = 5 ÷ 4

⇒ Cross-multiplying the equation:

⇒ 4 × (3x − 8) = 5 × (2x − 6)

⇒ 12x − 32 = 10x − 30

⇒ 12x − 10x = 32 − 30

⇒ 2x = 2

⇒ x = 1

⇒ First number = 3x = 3 × 1 = 3

⇒ Second number = 2x = 2 × 1 = 2

∴ The correct answer is 3, 2.

Additional Information

Cross-Multiplication Method in Ratio

It is a powerful algebraic technique to directly find the equivalent value of ratio units when both terms of a ratio are increased or decreased to form a new ratio. It equates the cross-product differences directly.

Proportion Fundamentals

When two ratios are equivalent, they are said to be in proportion, written as a : b = c : d. The foundational rule dictates that the product of the extremes equals the product of the means (a × d = b × c).

Negative Application in Ratios

In mathematical representations, values derived from ratios can technically be negative elements depending on the context, but the proportionality and equality defined by ratio equations will strictly hold true irrespective of the signs.

Given:

SP of sofa = Rs. 23400

Discount % = 10%

Concept used:

Profit = SP - CP

SP = MP × (100 - Discount%)/100

Calculation:

According to the question,

CP = 23400 × 100/90× 100/130

⇒ Rs. 20000

So, profit = 23400 - 20000

⇒ Rs. 3400

∴ He earned Rs. 3400

The logic followed here is:

Kiwi is a fruit.

Similarly, 

Zuchhini is a vegetable.

Hence, the correct answer is "Vegetable".

Confusion PointsWhile it is often thought of and used as a vegetable, zucchini is technically a fruit.

Zucchini, (Cucurbita pepo), also called courgette, variety of summer squash in the gourd family (Cucurbitaceae), grown for its edible fruits and the young fruits are cooked as a vegetable.

In cookery, it is a vegetable, usually cooked and eaten as a savory dish or accompaniment.

The correct answer is Pratibha Patil.

• The first woman to serve as the President of India was Pratibha Patil.

Key Points

• Pratibha Devisingh Patil is an Indian politician and lawyer.
• She hails from Maharashtra.
• She is the only woman president to hold the position.
• Pratibha Patil served as the 12th President of India from 2007 to 2012.
• She served as the Governor of Rajasthan from 2004 to 2007.

Important Points

• Sucheta Kripalani was an Indian freedom fighter and politician. She was India's first woman Chief Minister, serving as the head of Uttar Pradesh.
• Sumitra Mahajan is an Indian politician who was the Speaker of the Lok Sabha from 2014 to 2019. He belongs to Bharatiya Janata Party.
• Rajkumari Amrit Kaur was an Indian activist and politician. After a long association with the Indian independence movement, she was appointed India's first health minister in 1947 and held the position until 1957.

The logic followed here is:-

We add 7 in the first number and get second number, then we add 7 in second number we get third number and so on.

Hence, "option 2" is the correct answer.

The correct answer is Optical Character Recognition.

• OCR stands for Optical Character Recognition.

Key Points

• Optical character recognition is the electronic or mechanical conversion of images of typed, handwritten, or printed text into machine-encoded text, whether a photograph of a document from a scanned document, a visual photo, or an image with subtitle text applied to it.
• It is widely used as a form of data entry from printed paper data records whether passport documents, invoices, bank statements, computerized receipts, business cards, mail, printouts of static data, or any suitable documentation.
• It is a common method of digitizing printed texts so that they can be electronically edited, searched, stored more compactly, displayed on-line, and used in machine processes such as cognitive computing, machine translation, text to speech, key data, and text mining.
• OCR is a field of research in pattern recognition, artificial intelligence, and computer vision.

Important Points

• Applications: Automatic Number Plate Recognition.
• Data entry for business documents( Cheque,passport,invoice).
• Passport recognition and information extraction.
• Traffic sign recognition.
• Automatic insurance documents.

The correct answer is Bharat Ratna.

• Pranab Mukherjee received Bharat Ratna in 2019.

Key Points

• Pranab Kumar Mukherjee was an Indian politician and statesman.
• He served as the 13th President of India from 2012-2017.
• He was preceded by Pratibha Patil and was succeeded by Ram Nath Govind.
• He received Padma Vibhushan in the year 2008 and Bharat Ratna in the year 2019.
• Books: Challenges Before the Nation: A Saga of Struggle and Sacrifice, Beyond Survival: Emerging Dimensions of the Indian Economy.

Additional Information

• Bharat Ratna is the highest civilian award of the Republic of India.
• Established on 2 January 1954, the award is presented in recognition of "extraordinary service/performance of the highest order" without distinction of race, occupation, status or gender.

The correct answer is Geosynchronous Satellite Launch Vehicle.

• GSLV stands for Geosynchronous Satellite Launch Vehicle.

Key Points

• Geosynchronous Satellite Launch Vehicle is an expendable launch system operated by the Indian Space Research Organization.
• The first stage comprises a solid booster with a propellant and four liquid strap-on motors.
• The second stage is a liquid engine carrying liquid propellant.
• The third stage is the indigenously built Cryogenic Upper Stage.

Important Points

• PSLV vs GSLV 
• ​GSLV can put a heavier payload in the orbit than Polar Satellite Launch Vehicle.
• GSLV can carry weight up to 5000 kg and reach up to 36000 km.
• PSLV can carry weight up to 2000 kg into space and reach up to the altitude of 600-900 km.

The correct answer is Mimosa pudica.

• Mimosa pudica is the scientific name of the 'Touch-Me-Not' plant.

Key Points

• Pudica is a Latin word that means shy.
• It is also called tickle me plant, sensitive plant, shy plant, humble plant, sleeping plant.
• It got the name touch-me-not as the green leaves of this tiny plant shut or shrink inwardly when someone touches them (even with a tender touch).
• Characteristics: The plant is native to central and South America.
• The plant is not at all shade tolerant and is known for its fastest development.
• They close during the nighttime and resume during light.
• Uses: Customary roots of the plant are utilized for treating snake bites, small pox, diarrhea, fever, ulcer, jaundice, leucoderma, hemorrhoids, fistula, asthma. sleep disorder, infections in the urinary tract.
• The entire plant is used for operating stiffness, depression, muscle torment, cancer, elephantiasis.

The logic followed here is:-

We add 1 in each letter of word.

Hence, "option 2" is the correct answer.

Hindustan Aeronautics Limited was NOT a Maharatna as of October 2020.

Key Points

Central Public Sector Enterprises functions under the Government of India.

• The government of India categorizes all the CPSE s as Maharatna, Navaratna, Miniratna.
• As of the year 2021, there are 11 Maharatna's, 13 Navratna's, and 73 mini Ratna's.
• Factors for categorization: Turn over, Net worth, Net profit every year, and companies present in the stock exchange as per SEBI's rules.

Important Points

Maharatna's status was started in 2009.

• The investment ceiling of the company rises from 1000 crores to 5000 crores after the attainment of status.
• Maharatna firm has the permission to invest 15 % of the network in a project.
• Conditions to acquire the status of Maharatna: Company should have a turnover of more than 25000 crores for the last three years.
• The company should have a net worth of more than 15000 crores for the last three years.
• The company should have a net profit of more than 5000 crores for the last three years after paying tax.

Additional Information

​List of Maharatna's: 

• Bharat Heavy Electricals Limited.
• Bharat Petroleum Corporation Limited.
• Coal India Limited.
• Gas Authority of India Limited.
• Hindusthan Petroleum Corporation Limited.
• Indian Oil Corporation Limited.
• National Thermal Corporation Limited.
• Oil and Natural Gas Corporation.
• Power Grid Corporation of India.
• Steel Authority of India Limited.
• Power Finance Corporation Limited.

The correct answer is Satpura National Park.

• Satpura National Park is the first reserve forest of India.

Key Points

• Satpura National Park is a wildlife habitat located on the border of Satpura in the Hoshangabad district of Madhya Pradesh.
• It is surrounded by Bori and Pachmarhi Wildlife Sanctuaries.
• It was first introduced by the popular bird watcher Dr. Salim Ali in the year 1981.
• Terrain: Sandstone peaks, narrow valleys, ravines, and dense forests.
• Fauna: Indian giant squirrel, porcupine, hornbill, peacock.
• Flora: Sal, teak, tendu, Phyllanthus Emblica, medicinal plants.
• The Denwa River is the main water source of the park.

Important Points

• Jim Corbett National Park is located in the Nainital district of Uttarakhand.
• Also known as Hailey National Park, it is the oldest national park established in the year 1936.
• The park includes the Patli Doon valley formed by the Ram Ganga river.
• Ranthambore National Park is located in Sawai Madhapur, Rajasthan.
• It is bounded by the Banas River in the north and the Chambal River in the south.
• Gir National Park is a wildlife sanctuary in Gujarat, western India.

The correct answer is 206.

• The number of bones in an adult human body is 206.​

Key Points

• The adult human skeleton is made up of 206 bones.
• These include the bones of the skull, spine, ribs, arms and legs.
• Bones are made of connective tissue reinforced by calcium and specialized bone cells.
• Most bones contain bone marrow where blood cells are made.
• Femur is the longest bone in the human body.
• Stapes is the smallest bone found in the ear

The logic followed here is:-

Each number and word coded on the same place, which is given below:-

7 stands for 'be' in that language.

Hence, "option 4" is the correct answer.

The correct answer is malaria.

• The female Anopheles mosquito is a transmitter of malaria.

Key Points

• Malaria is an acute febrile disease caused by the Plasmodium parasite that is transmitted to people by the bite of a female Anopheles mosquito.
• Plasmodium groups are single-celled microorganisms.
• The disease is widespread in tropical and sub-tropical regions around the equator.

Additional Information

• Dengue virus (DENV) is the cause of dengue fever. It is a mosquito-borne, single positive-stranded RNA virus of the family Flaviviridae; genus Flavivirus.
• Cholera is an acute diarrhoeal infection caused by ingestion of food or water contaminated with the bacterium Vibrio cholerae.
• Typhoid is a bacterial infection that can lead to a high fever, diarrhea, and vomiting.
• It can be fatal.
• It is caused by the bacteria Salmonella typhi.

Given:

24 × 34 × 53 × 72 and 22 × 36 × 55

Concept used:

HCF by Prime Factorization Method

Calculation:

24 × 34 × 53 × 72 and 22 × 36 × 55

If we calculate the HCF of these two numbers

then we can see highest common factors are 2² × 3⁴ × 5³

∴ Required HCF is 22 × 34 × 53

The correct answer is President.

• President has the ultimate command of the Union Defense Forces.
• Droupadi Murmu is an Indian politician serving as the 15th and current president of India since 25 July 2022​.

Key Points

• The Indian It consists of three professional uniformed services:
• Indian Army
• Indian Navy
• Indian Air Force
• The Department of Defence Production of the Ministry of Defence is responsible for the indigenous production of equipment used by the Indian Armed Forces.
• It comprises the 41 Indian Ordnance Factories under the control of the Ordnance Factories Board, and eight Defence PSUs namely: HAL, BEL, BEML, BDL, MDL, GSL, GRSE and Midhani.

Additional Information

• Article 53 in The Constitution of India:
• The executive power of the Union shall be vested in the President and shall be exercised by him either directly or through officers subordinate to him under this Constitution.
• Without prejudice to the generality of the foregoing provision, the supreme command of the Defence Forces of the Union Shall be vested in the President and the exercise thereof shall be regulated by law. Hence, Option 2 is correct.
• Nothing in this article shall.
• Be deemed to transfer to the President any functions conferred by any existing law on the Government of any State or other authority; or
• Prevent Parliament from conferring by law functions on authorities other than the President.
• President is the supreme commander of the Indian Armed forces. This is the military power vested in him.
• The President can declare war or conclude peace on the advice of the Union Council of Ministers headed by the Prime Minister.
• All important treaties and contracts are made in the President's name.
• He appoints chiefs of all branches of armed forces.

Important Points

The correct answer is 5 percent.

• The premium payable for the annual commercial/horticulture crops under the Pradhan Mantri Fasal Bima Yojana, as a percentage of the sum insured/actuarial rate, is 5 percent.

Key Points

• Pradhan Mantri Fasal Bima Yojana was launched on 18 February 2016.
• This scheme replaced the two earlier schemes, namely the Rashtriya Krishi Bima Yojana and the Revised National Agricultural Insurance Scheme.
• It provides insurance against failure of crops due to non-preventable risks like cyclones, typhoons, hurricanes, tornados, landslides, drought, dry season, pests, and diseases which stabilizes the income of the farmers.
• Implementing Agencies: Listed General Insurance Companies which are done by the State Government through bidding, Department of Agriculture Cooperation and Farmers Welfare, Ministry of Agriculture Cooperation and Farmers Welfare.
• Coverage of crops: Food and oilseed crops, commercial and horticultural crops.
• Applicable: The scheme is applicable for farmers availing crop loan/KCC account for notified crops and voluntarily for others.
• Premium: Farmers will have to pay 2% on all Kharif crops, 1.5% on Rabi crops, 5% on commercial and horticultural crops.
• Note: There is no upper limit for government subsidy.

Given that:-

Rakhi goes 3 meters North then turns right and walks 4 meters, then again turns right and walks 2 meters, then a again turns right and walks 4 meters.

The figure is given below:-

Thus she is 1 meter from her original position.

Hence, "option 1" is the correct answer.

Given:

Numbers = 55, 72, 123

Remainders = 3, 7, 6

Concept used:

H.C.F of certain numbers

Calculation:

55 - 3 = 52

72 - 7 = 65

123 - 6 = 117

H.C.F of 52, 65, 117

⇒ 52 = 13 × 2²

⇒ 65 = 13 × 5

⇒ 117 = 13 × 3³

So H.C.F = 13

∴ The largest number which divides the numbers is 13

Given:

Sixteen men can complete a work in 24 days

Twenty four women can complete the same work in 32 days

Concept used:

x man can complete a work in n days

So total work = xn

Calculation:

16 men can complete the work in 24 days

1 man can complete the work in = 16 × 24

⇒ 384 days

 24 women can complete the work in 32 days

1 woman can complete the work in = 32 × 24

⇒ 768 days

Ratio between man and woman = 384 : 768 =1 : 2

then 1 man = 2 women

16 women = 8 men

So, the number of men complete the work in 12 days = 16 + 8 = 24 men

Since 24 men takes 16 days to complete the work

So, after 12 days, 4 days’ work will be left for 24 Men

So, the work left can be completed in 2 days by = 4/2 × 24​

⇒ 48 days

Additional men required to complete the work in 2 days = 48 – 16 = 32 men

∴ More 32 men is required to complete the work in 2 days

Given:

Total distance = 200 m

Speed of Shruti = 4 km/h

Concept used:

Speed = Distance/time

km/h × 5/18 = m/sec

Calculation:

Speed of Shruti in m/sec = 4 × 5/18

⇒ 10/9 m/sec

Time taken by Shruti to cover 200 m = 200 × 9/10

⇒ 180 sec

Time taken by Veena to complete the race = 180 + 30 = 210 sec

Distance cover by Veena = 200 - 18 = 182 m

Speed of Veena = 182/210 × 18/5

⇒ 3.12 km/h

∴ Veena's speed is 3.12 km/h

The correct answer is Antonio Guterres.

• Antonio Guterres is the current Secretary-General of the UN.

Key Points

• The United Nations is an intergovernmental organization whose purpose is to maintain international peace and security, to develop friendly relations between nations, to achieve international cooperation, and to be the center of harmonious work of nations.
• The United Nations Charter was signed on 26 June 1945 and the Charter came into force on 24 October 1945.
• Its headquarter is in New York City.
• The United Nations was preceded by the League of Nations, which came into force on 10 January 1920.
• The League of Nations suffered frequent failures in the Japanese invasion of Manchuria and the Second Italo-Ethiopian War.
• To prevent future wars, the United Nations was established after World War II.
• The organization's objectives include maintaining international peace and security, protecting human rights, providing humanitarian assistance, promoting sustainable development, and upholding international law.
• The initial membership of the United Nations was 51 member states, which increased to 193 member states (as of 2021).
• Official languages: Arabic, Chinese, English, French, Russian, Spanish.
• The current Secretary-General is Antonio Guterres.

Important Points 

• The United Nations has six principal organs namely
• The General Assembly.
• The Security Council.
• The Economic and Social Council (ECOSOC).
• The Trusteeship Council.
• International Court of Justice.
• The UN Secretariat.
• The United Nations system also includes a multitude of specialized agencies such as the World Bank Group, the World Health Organization, the World Food Programme, UNESCO, UNICEF.

The correct answer is Jamsetji Tata.

• Jamsetji Tata built the Taj Mahal Palace Hotel in Mumbai by integrating Indian and European styles.

Key Points

• The Taj Mahal Palace is a heritage, five-star, luxury hotel in the Colaba area of ​​Mumbai, located next to the Gateway of India.
• It was opened in the year 1903.
• The hotel is built in the Saracenic Revival style that was used by the British in the 19th century.

Additional Information

• Ratan Naval Tata is an Indian industrialist and former chairman of Tata Sons.
• Jamsetji Nasrwanji Tata was an Indian pioneer, an industrialist who founded the Tata Group.
• Jehangir Ratanji Dadabhoy Tata was an Indian aviator, industrialist, entrepreneur and chairman of Tata Group.

Shortcut Trick

For a tower of height h, if the angles of elevation from two points at distances a and b from its foot are complementary (sum = 90°), the height is the geometric mean of the distances:

h = √(a × b)

⇒ h = √(18 × 32)

⇒ h = √576 = 24 m

∴ The correct answer is 24 m.

Alternate Method

Given:

Distance of point C from foot B = 18 m

Distance of point D from foot B = 32 m

The angles of elevation are complementary.

Let the height of the tower be AB = h.

Let the angle of elevation at C be θ, then the angle at D is (90° − θ).

⇒ In right ▵ABC: tan θ = AB / BC = h / 18 — (Eq. 1)

⇒ In right ▵ABD: tan(90° − θ) = AB / BD = h / 32

⇒ cot θ = h / 32 — (Eq. 2) [Since tan(90° − θ) = cot θ]

⇒ Multiplying (Eq. 1) and (Eq. 2):

⇒ tan θ × cot θ = (h / 18) × (h / 32)

⇒ 1 = h² / 576 [Since tan θ × cot θ = 1]

⇒ h² = 576

⇒ h = √576 = 24 m

∴ The correct answer is 24 m.

Additional Information

Complementary Angles

Two angles are called complementary if their sum is exactly 90°. In trigonometry, tan(90° − θ) = cot θ.

Angle of Elevation

The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.

Geometric Mean Property

In height and distance problems involving complementary angles from the base, the height is always the geometric mean of the two horizontal distances: h = √(d₁ × d₂).

The correct answer is Damanganga.

• Damanganga is the major river that flows through the Union Territory of Dadra and Nagar Haveli.

Key Points

• Daman Ganga
• The main water of the river is on the western slope of the Western Ghats range and it flows west into the Arabian Sea.
• The river flows through Maharashtra, Gujarat as well as the union territories of Dadra and Nagar Haveli and Daman and Diu.
• The industrial cities of Vapi, Dadra, and Silvassa are situated on the north bank of the river.
• The city of Daman is situated on both the banks of the river estuary.

Additional Information

• The Narmada River, also known as the lifeline of Madhya Pradesh, is the 5th longest river in India.
• It rises from the Amarkantak plateau in Annupur district of Madhya Pradesh.
• It forms a traditional boundary between North India and South India.
• Pinjal is a river in Maharashtra.
• Par is a river originating in Vadapara village, Nashik, Maharashtra.

The correct answer is Bombay plan.

• It is a joint venture between the big industrialists to establish a planned economy in the country after Bombay plan independence.

Key Points

• Bombay Plan was drafted in 1944 in the want of states to take major initiatives in industrial and other economic investment through a joint proposal of a section of the big industrialist for setting up a Planned Economy.
• This plan was published in two parts or volumes- first in 1944 and second in 1945.
• The Bombay Plan offers a comprehensive vision of mass education, including primary, secondary and vocational, and university schooling. It was also made for adult education and scientific training and research.

Additional Information

• People associated with the Bombay Plan are:
• Mr. J. R. D. Tata.
• Mr. G. D. Birla.
• P. Thakurdas.
• Kasturbhai Lalbhai.
• Sir Shri Ram, Ardeshir Dalal.
• Mr. A. D. Shroff.
• Dr. John Matthai

The correct answer is the young population in India began to attend schools X4 was the first.

Key Points

• The Salt March was notable for at least three reasons.
• First, it was this event that first brought Mahatma Gandhi to world attention and was widely covered by the European and American press. Hence, Statement 2 is correct.
• Second, it was the first nationalist activity in which women participated in large numbers. Hence, Statement 3 is correct.
• The socialist activist Kamaladevi Chattopadhyay had persuaded Gandhiji not to restrict the protests to men alone and was herself one of the numerous women who courted arrest by breaking the salt or liquor laws.
• Third, and perhaps most significant, it was the Salt March which forced upon the British the realization that their Raj would not last forever, and that they would have to devolve some power to the Indians. Hence, Statement 4 is correct.
• To that end, the British government convened a series of Round Table Conferences in London.

The correct answer is Kenya.

• Kenya is NOT a member of OPEC.

Key Points

• Organization of Petroleum Exporting Countries (OPEC) is an intergovernmental organization(national sovereignty over natural resources).
• It was founded on 14th September 1960 in Bagdad.
• It is headquartered in Vienna, Austria( Austria not a member of OPEC state).
• Mission: Coordinate and unify the petroleum policies of its member countries and ensure the stabilization of oil markets.
• To secure an efficient, economic, and regular supply of petroleum to consumers, a steady income to producers, and a fair return on capital for those investing in the petroleum industry.
• Current OPEC members: Algeria, Angola, Congo, Equatorial Guinea, Gabon, Iran, Iraq, Kuwait, Libya, Nigeria, Saudi Arabia, the United Arab Emirates, and Venezuela.

Given:

11, 15, 8, 9, k, 11, 12, 12, 15, 14

Concept used:

The mode is the value that occurs the most often in a given set of data. 

Calculation:

In the data set provided here, the mode is 12, hence 12 should occur the most number of times.

11, 15, 8, 9, k, 11, 12, 12, 15, 14

Excluding k and arranging these numbers in ascending order,

8,9,11,11,12,12,14,15,15

Here 11, 12, and 15 are occurring twice. 

Since 12 is the mode, it should occur more than twice. 

∴ The value of k should be 12.