RRB NTPC CBT-I Official Paper (Held On: 8 April 2021 Shift 2) (Previous Year Paper)

Given: Blood, Skeleton, Bones

Bones is a part of Skeleton.

Blood is entirely separate from both Bones and Skeleton, as it is a fluid and not structurally related.

The best possible Venn diagram is as follows:

Hence, the correct answer is "Option 4".

The correct answer is Shamsuddin Iltutmish.

Key Points

• The Iqta System or Iqtadari System was introduced by Shamsuddin Iltutmish of the Delhi Sultanate.
• The Iqtadari System was a powerful instrument for centralisation.
• The Iqtadari System was based on the division of territories between Sultans and Nobility.
• The land was divided into small tracts and given to the nobles, the officers, and the soldiers.
• The areas directly under Sultan came to be known as Khalisa and the rest of the areas were known as Iqra.

Additional Information

• Regin of Iltumish - 1211-1236 AD.
• Iltumish was son-in-law of Aibak.
• He was a Turkic slave.
• He was the greatest of the Slave rulers of Delhi.
• The Slave dynasty was established by Qutb-us-din Aibak.
• Dynasty lasted from 1206 to 1290.
• It was the first of the dynasties to rule as Sultanate in Delhi.
• This dynasty was succeeded by Khilji Dynasty.

The logic followed here is: Squares of number.

Hence, the correct answer is "81".

The correct answer is Deccan

Key Points

• The city of Hyderabad is located in the Deccan Plateau
• The Deccan Plateau is a large triangular plateau in South India that covers parts of eight states, including Telangana, Maharashtra, Andhra Pradesh, Karnataka, Kerala, and Tamil Nadu.
• The plateau is surrounded by the Western Ghats and the Eastern Ghats to the east and west, and the Satpura and Vindhya Ranges to the north.
• The Deccan Plateau is home to many historical sites, including the Ajanta and Ellora caves, and the temples at Hampi

                                                          

Additional Information

• Meghalaya plateau​
• Meghalaya Plateau is an extension of Indian Peninsular Plateau.
• Traditionally, the Meghalaya plateau is divided into Garo, Khasi and Jaintia Hills.
• The region east of the Dhansiri River and west of the Singimari River is approximately 400 km long with an average width of 40 km, covering an area of 35,291 km2.
• From the South-West monsoon, this region receives maximum rainfall.
• Chota Nagpur
• The Chotanagpur plateau represents the north-eastern projection of the Indian Peninsula.
• The Chotonagpur plateau is primarily composed of archaeon rocks of granite and gneiss etc.
• Mostly in Jharkhand, the northern part of Chhatisgarh and Purulia district of West Bengal.
• The average height of the plateau is 700 m above sea level.
• This plateau is composed mainly of Gondwana rocks.
• The Damodar River flows through the middle of this region in a rift valley from west to east. In this region Gondwana coal fields are found which provide the bulk of coal in India.
• Malwa​
• Malwa Plateau is primarily located in the state of Madhya Pradesh.
• The plateau is bounded by the Aravalli Range to the northwest, the Vindhya Range to the south, and the Bundelkhand region to the east.
• It is known for its rich history and was a significant part of the ancient Avanti Mahajanapada.
• The region is also notable for its black cotton soil, known as Regur, which is highly suitable for cotton cultivation.
• Malwa Plateau is rich in mineral resources and has significant deposits of coal and limestone.

The correct answer is Aqua regia

Key Points

• Aqua regia is the mixture used to purify gold.
• It is a mixture of three parts hydrochloric acid to one part nitric acid.
• The acid mixture aqua regia, or royal water, dissolves gold and is used to purify scrap alloy containing gold.
• Aqua regia is a mixture of hydrochloric acid and nitric acid in a 3:1 ratio.
• Nitric acid is a nitrogen oxoacid of formula HNO3 in which the nitrogen atom is bonded to a hydroxy group and by equivalent bonds to the remaining two oxygen atoms.

Additional Information

• Aerosol
• ​It is a suspension of fine solid particles or liquid droplets in a gas.
• Examples: Fog, mist, smoke, and sprays.
• Uses:
• In sprays (e.g., deodorants, insecticides).
• Delivery of medicines (e.g., inhalers for asthma).
• Environmental studies (e.g., studying pollution).
• Nessler's Reagent​
• The Chemical Composition is  potassium tetraiodomercurate
• It is Used to test for the presence of ammonia (NH₃) or ammonium ions (NH+4)(NH+4)(NH+4)(NH+4)(NH+4)(NH4+) (NH_4^+)
• Nessler's reagent gives a brown precipitate or yellow coloration when it reacts with ammonia, indicating its presence.
• Liquor Ammonia
• ​It is a solution of ammonia gas dissolved in water, also called aqueous ammonia)

Unknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strong)Unknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strong)Unknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strong)Unknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strong)Unknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strongUnknown node type: strong) (NH_3 $\text{ in water})$

• Uses:
• As a cleaning agent due to its ability to dissolve grease and grime.
• In the textile and dye industry.
• As a reagent in laboratories.

The correct answer is Mahananda.

Key Points

• The Mechi River is a trans-boundary river that flows through India and Nepal.
• It is a tributary of the Mahananda River, which is one of the major rivers in the eastern part of the Indian subcontinent.
• The Mahananda River itself is a tributary of the Ganges River, which is one of the largest river systems in India.
• The Mechi River plays a significant role in the irrigation and agriculture of the regions it flows through, particularly in the Indian state of Bihar and the eastern part of Nepal.

Additional Information

• Gandak River:
• The Gandak River, also known as the Narayani in Nepal, is a major river in Nepal and the Indian states of Bihar and Uttar Pradesh.
• It is a tributary of the Ganges River and is known for its rich biodiversity.
• Godavari River:
• The Godavari River is the second longest river in India, running across the states of Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, Madhya Pradesh, Odisha, Karnataka, and Puducherry.
• It is often referred to as the 'Dakshina Ganga' or 'Ganga of the South'.
• Ganga River:
• The Ganga River is one of the most important and sacred rivers in India, flowing through the northern regions of the country.
• It is the longest river in India and holds significant cultural, spiritual, and economic importance.
• Mahananda River:
• The Mahananda River originates from the Himalayas in Darjeeling, India, and flows through the Indian states of West Bengal and Bihar as well as the country of Nepal.
• It merges with the Ganges River, making it an essential river in the eastern part of India for agriculture and other purposes.

The correct answer is Myopia

Key Points

• Myopia is a disease in which the patient cannot see distant objects clearly.
• In myopia, the eyeball is too long for the normal focusing power of the eye.
• As a result, images of distant objects appear blurred.
• The nearsighted (myopic) eye converges rays from a distant object in front of the retina; thus, they are diverging when they strike the retina, producing a blurry image.
• Myopia is a condition in which the individual can focus only on nearby objects.
• This is why it is called Nearsightedness.
• A concave lens (minus powered) is placed in front of a myopic eye, moving the image back to the retina and clarifying the image.

Additional Information

• Ametropia:
• It is a general term for refractive errors in the eye where images do not focus properly on the retina, causing blurred vision.
• Types: Includes myopia (nearsightedness), hypermetropia (farsightedness), and astigmatism.
• It is Treated with eyeglasses, contact lenses, or refractive surgeries like LASIK.
• Hypermetropia (Farsightedness):
• It is a condition where distant objects are seen clearly, but near objects appear blurred due to the eyeball being too short or the lens having insufficient power.
• Cause: Light rays focus behind the retina instead of directly on it.
• Correction: Requires convex lenses to focus light correctly on the retina.
• Presbyopia:
• It is an age-related loss of the eye's ability to focus on near objects due to decreased elasticity of the lens.
• It typically begins after age 40.
• It is Treated with reading glasses, bifocal lenses, or multifocal lenses.

Given:

The ratio of the market price to the cost price of an article is 5:3.

Selling price (SP) = ₹3645

Two successive discounts = 25% and 10%

Formula used:

Market Price (MP) = Cost Price (CP) × $\dfrac{5}{3}$

Selling Price (SP) = MP × (1 - Discount1) × (1 - Discount2)

Profit or Loss % = $\dfrac{SP - CP}{CP} \times 100$

Calculations:

Let the Cost Price (CP) be ₹x.

Market Price (MP) = ₹x × $\dfrac{5}{3}$ = $\dfrac{5x}{3}$

Given Selling Price (SP) = ₹3645

$\dfrac{5x}{3}$ × (1 - 0.25) × (1 - 0.10) = ₹3645

⇒ $\dfrac{5x}{3}$ × 0.75 × 0.90 = ₹3645

⇒ $\dfrac{5x}{3} \times 0.675 = 3645$

⇒ $\dfrac{5x \times 0.675}{3} = 3645$

⇒ $\dfrac{3x \times 0.675}{3} = \dfrac{3645 \times 3}{5}$

⇒ $0.675x = 2187$

⇒ $x = \dfrac{2187}{0.675}$

⇒ $x = 3240$

Cost Price (CP) = ₹3240

Selling Price (SP) = ₹3645

Profit = SP - CP = ₹3645 - ₹3240 = ₹405

Profit % = $\dfrac{405}{3240} \times 100$

⇒ Profit % = 12.5%

∴ The correct answer is option (4).

The correct answer is Khyber Pass

Key Points

• The Khyber Pass is located between Pakistan and Afghanistan, not India and China.
• It has historical significance as a major trade route but does not serve as a business checkpost between India and China.
• It Connects Peshawar (Pakistan) to Jalalabad (Afghanistan).
• It is part of the ancient Silk Road trade network

Additional Information

• Shipki La Pass (Himachal Pradesh)
• The Shipki La Pass is located in the Himalayan Range in the state of Himachal Pradesh (Kinnaur).
• It is a Second Border post-trade with Tibet (China) after Nathu La.
• Sutlej River enters India (from Tibet) near this pass.
• Nathula Pass (Sikkim):
• Nathu La is a mountain pass in the Dongkya Range of the Himalayas between China's Yadong County in Tibet, and the Indian states of Sikkim.
• But minor touch of Bengal in South Asia.
• The pass, at 4,310 m, connects the towns of Kalimpong and Gangtok to the villages and towns of the lower Chumbi Valley
• Lipulekh Pass (Uttarakhand)
• Lipulekh Pass is in the state of Uttarakhand.
• Lipulekh is a Himalayan pass on the border between Uttarakhand, India, and Tibet, China.
• This pass is a vital border pass for trade with China.
• The southern side of the pass is controlled by India but claimed by Nepal.

In 7.16 hours 

Here, 7 shows hours and

0.16 convert for minutes multiplied by 60

⇒ 0.16 × 60 = 9.6

here 9 shows minutes then 

0.6 convert for seconds multiplied by 60

⇒ 0.6 × 60 = 36

Here, 36 shows seconds.

So, 7.16 hours in hours, minutes and seconds is 7 hours, 9 minutes, 36 seconds.

Hence, the correct answer is "Option (3)".

The logic followed here is:

1)  BDF

2)  DFH

3)  OPR

4)  JLN

Thus, OPR is odd one.

Hence, the correct answer is "OPR".

As per the given information;

Alphabets in reverse order: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

• Delete every 3^rd letter from left to right:

(After deleting every 3^rd letter) A B D E G H J K M N P Q S T V W Y Z

• The 12^th letter from the right end in the new series:

(Left) A B D E G H J K M N P Q S T V W Y Z  (Right)

12^th letter from the right = J

Therefore, the 12^th letter from the right end in the new series is 'J'.

Hence, the correct answer is "J".

The correct answer is Volunteers in government schools to help scholastic work

Key Points

• Vidyanjali Yojana: 
• The Vidyanjali Project is an initiative by the Ministry of Education, Government of India, aimed at strengthening community and private sector involvement in government schools.
• It primarily focuses on leveraging volunteers to support the holistic development of students.
• ​The Central Government has launched ‘Vidyanjali’, a School Volunteer programme on 16^th June 2016 and issued necessary guidelines.
• Vidyanjali is an initiative to involve people from the Indian Diaspora, retired teachers, retired government officials including retired defence personnel, retired professionals and women who are homemakers, having graduation degree to strengthen co-scholastic activities in schools such as reading in Government run elementary schools through the services of volunteers across the country under the overall aegis of the Sarva Shiksha Abhiyan (SSA).
• It will not replace the regular and professionally qualified teachers in the government schools.
• The volunteer's responsibility is towards the overall development of the child, not academics.
• The volunteer service will be used in developing skills like public speaking, creative writing, counselling, music and dance.

Additional Information

• Other educational apps by Union Government:
• Diksha App:
• It is a national platform for school education, an initiative of the National Council for Education, Research, and Training.
• It will help teachers to create training content, profile, in-class resources, and assessment aids and connect with the teacher community​
• English App:​
• Union Minister of Education RameshPokhriyal Nishank launched EnglishPro, a free mobile app, developed by the English and Foreign Languages University, Hyderabad.
• The App has been developed by University Social Responsibility (USR) is the first-of-its-kind initiative by any university in the country and will help learners develop Indian English Pronunciation in the unique “Indian” way.
• It is an educational resource for teachers, students, and people from varied backgrounds.
• This app is a good hand-maid to the “skilling” of youth.
• It tries to achieve the objectives of the interconnected measures by the Government — Skill India and Digital India.

The logic followed here is:

Figure 1: (4 + 2 + 9) / 3 = 15 / 3 = 5

Figure 2: (17 + 6 + 1) / 3 = 24 / 3 = 8

Similarly, figure 3: (5 + 9 + 4) / 3 = 18 / 3 = 6

Hence, the correct answer is "6".

The correct answer is C V Raman

Key Points

• Sir Chandrasekhara Venkata Raman was the first Indian Director of the Indian Institute of Science (IISc) in Bangalore, taking the role in 1934.
• At the time, Raman was a celebrated physicist and Nobel laureate.
• Founders: Jamsetji Tata, Krishnaraja Wadiyar IV, and the Government of India
• First Director: Morris W Travers, who began organizing the institute in 1906
• Current Director: Anurag Kumar
• Founder's Day: March 3, a day to celebrate the vision and munificence of Jamsetji Tata

Additional Information

• C V Raman
• Sir C.V.Raman awarded with Nobel Prize in Physics in 1930.
• He discovered that when light traverses in transparent material then some of the light changes its wavelength and amplitude.
• This phenomenon of scattering of light is known as the Raman effect.
• He was the first non-white, Indian or Asian person to receive Noel Prize in the field of Physics.
• He and his student K.S. Krishnan discovered Raman effect on 28 February 1928 which is celebrated as National Science Day by the Government of India in commemoration of the discovery.
• The Nobel Prize is given yearly by the Royal Swedish Academy for those who have made contributions in the field of physics for the whole of mankind.
• It was established by the will of Alfred Nobel in 1895.
• Since 1901, the Nobel Prize has been awarded in the fields of physics, chemistry, physiology or medicine, literature and peace, while a memorial prize in economic sciences was added in 1968.

Given:

$\left( \dfrac{2 + \sqrt{3}}{2 - \sqrt{3}} \right)^2$

Formula used:

$\left( \dfrac{a + b}{a - b} \right)^2 = \dfrac{(a + b)^2}{(a - b)^2}$

Calculation:

$\left( \dfrac{2 + \sqrt{3}}{2 - \sqrt{3}} \right)^2$

⇒ $\dfrac{(2 + \sqrt{3})^2}{(2 - \sqrt{3})^2}$

⇒ $\dfrac{4 + 4\sqrt{3} + 3}{4 - 4\sqrt{3} + 3}$

⇒ $\dfrac{7 + 4\sqrt{3}}{7 - 4\sqrt{3}}$

⇒ $\dfrac{(7 + 4\sqrt{3})^2}{(7 - 4\sqrt{3})(7 + 4\sqrt{3})}$

⇒ $\dfrac{49 + 56\sqrt{3} + 48}{49 - (4\sqrt{3})^2}$

⇒ $\dfrac{97 + 56\sqrt{3}}{49 - 48}$

⇒ $\dfrac{97 + 56\sqrt{3}}{1}$

⇒ 97 + $56\sqrt{3}$

∴ The correct answer is option (4).

Given:

A and B working together can complete a work in 10 days.

C alone can complete the same work in 14 days.

We need to find how many days A, B, and C together will take to complete three-fifth of the same work.

Formula used:

Work rate of A and B together = 1/10 work/day

Work rate of C = 1/14 work/day

Work rate of A, B, and C together = (1/10 + 1/14) work/day

Time taken to complete three-fifth of the work = (3/5) / (Work rate of A, B, and C together)

Calculation:

Work rate of A, B, and C together = 1/10 + 1/14

⇒ Work rate of A, B, and C together = (7/70 + 5/70)

⇒ Work rate of A, B, and C together = 12/70

⇒ Work rate of A, B, and C together = 6/35 work/day

Time taken to complete three-fifth of the work = (3/5) / (6/35)

⇒ Time taken to complete three-fifth of the work = (3/5) × (35/6)

⇒ Time taken to complete three-fifth of the work = 21/6

⇒ Time taken to complete three-fifth of the work = 7/2

⇒ Time taken to complete three-fifth of the work = 3.5 days

∴ The correct answer is option 3 :  7/2.

Shortcut Trick

Substitute 3^x = y to convert the exponential equation into a quadratic equation.

3(3^x)² − 3^x = 27(3^x) − 9 ⇒ 3y² − 28y + 9 = 0.

Factorize: (3y − 1)(y − 9) = 0 ⇒ y = 1/3 or y = 9.

If 3^x = 3⁻¹, then x = −1; if 3^x = 3², then x = 2.

∴ The correct answer is 2, −1.

Alternate Method

Given: 3^2x+1 − 3^x = 3^x+3 − 3²

Formula Used: a^m+n = a^m × aⁿ and a^mn = (a^m)ⁿ

⇒ 3^2x × 3¹ − 3^x = 3^x × 3³ − 9

⇒ 3 × (3^x)² − 3^x = 27 × 3^x − 9

⇒ Let 3^x = t

⇒ 3t² − t = 27t − 9

⇒ 3t² − 28t + 9 = 0

⇒ 3t² − 27t − t + 9 = 0

⇒ 3t(t − 9) − 1(t − 9) = 0

⇒ (3t − 1)(t − 9) = 0

⇒ t = 1/3 or t = 9

⇒ 3^x = 3⁻¹ or 3^x = 3²

⇒ x = −1 or x = 2

∴ The correct answer is 2, −1.

Additional Information

Laws of Indices

Key rules include a^m × aⁿ = a^m+n and (a^m)ⁿ = a^mn. When bases are the same, exponents can be equated.

Negative Exponents

A negative power signifies the reciprocal of the base: a⁻ⁿ = 1/aⁿ.

Quadratic Roots

The roots of ax² + bx + c = 0 can be found using factorization or the quadratic formula x = (−b ± √(b² − 4ac)) / 2a.

Family Chart:

Given: Gujjo is Umra's mother. Munni is Summo's mother. Shahid is Hifzan's father. Munni is Hifzan's paternal aunt and Umra's maternal aunt.

So, Gujjo is 'Sister' of Shahid.

Hence, the correct answer is "Sister".

The correct answer is the Green Revolution

Key Points

• M.S. Swaminathan is the Indian father of the Green Revolution.
• Mankombu Sambasivan Swaminathan is an Indian agronomist, agricultural scientist, plant geneticist, administrator, and humanitarian.
• Swaminathan is known as the Father of India's Green Revolution, for his contributions to the development of high-yielding varieties of wheat.
• He coined the term 'Evergreen Revolution' in 1990 to describe his vision of 'productivity in perpetuity without associated ecological harm'
• He founded the MS Swaminathan Research Foundation, the pioneer organization behind the ”evergreen revolution”.

Additional Information 

The correct answer is Keyboard

Key Points

• A keyboard is a typewriter-like tool that is used to send data or commands to a computer
• A keyboard is an input device that allows users to type text, numbers, and symbols, and enter commands into a computer.
• It is the primary device for entering text and is modeled after the typewriter keyboard.
• Keyboards are arranged in a specific layout, such as QWERTY or DVORAK.

Additional Information

• Optical Character Reader (OCR)
• It is an input device that is used to read a printed text similar to the scanner, but the method of reading and the type of output generated is different.
• The format to be fed to the OCR is predefined and can’t be used as an ordinary scanner.
• OCR, unlike a scanner, scans the text optically, character by character, converts them into machine-readable digital code instead of creating high-resolution images, and stores the text on the system memory.
• Joystick
• Just like a mouse, a Joystick is also a pointing device, which is used to travel the cursor position on a display.
• It is a perpendicular stick having a spherical ball at both lower and upper ends.
• The spherical ball connected to the circuit having sensors moves in a socket.
• The joystick controller can be traversed in all directions.
• The functionality of the joystick is just like a mouse.
• Its applications are generally in Computer-Aided Designing (CAD) and playing computer games.
• Mouse
• It is the most commonly used pointing device.
• It is a very famous cursor-control device and the earlier versions of it were built over a small palm-size box with a round ball at its base, which tracks the movement of the mouse and feeds digital signals to the CPU when the mouse buttons are pressed.
• Currently, the mouse has a sensor at the bottom to detect cursor position.

The correct answer is Transerv

Key Points

• India's first social mobile wallet, "Udio", was launched by TranServ, a leading digital payment solutions provider.
• It allowed users to send, receive, and share money within their social network, making payments interactive and user-friendly.
• Udio integrated a prepaid card that could be used for online and offline transactions.
• Apart from peer-to-peer transfers, it enabled bill payments, mobile recharges, and other financial transactions.

Additional Information

• Twitter
• A microblogging platform where users post short updates called tweets (up to 280 characters).
• Uses:
• Sharing news, opinions, and updates in real-time.
• Networking, marketing, and engaging with communities.
• **Founders:**Jack Dorsey
• Founded: March 2006.
• Headquarters: San Francisco, USA.
• Facebook
• A social networking platform designed for connecting with friends, family, and communities.
• Uses:
• Sharing photos, videos, and posts.
• Creating pages and groups for businesses, hobbies, or causes.
• Marketplace for buying/selling locally.
• Founder:
• Mark Zuckerberg (primary founder and CEO).
• Founded: February 2004, initially as "TheFacebook."
• Headquarters: Menlo Park, California, USA.
• Oxigen
• A digital wallet and payment solution provider in India.
• Uses:
• Mobile recharges and bill payments.
• Money transfers and remittances.
• Merchant transactions through its wallet.
• Founders:
• Pramod Saxena
• Founded: 2004.
• Headquarters: Gurgaon, India

The correct answer is Madan Mohan Malviya

Key Points

• The term "Satyameva Jayate" (Truth Alone Triumphs), taken from the Mundaka Upanishad, was popularized by Mahatma Gandhi, one of India's most prominent freedom fighters.
• The phrase emphasizes the power and importance of truth.
• It became a guiding principle for Gandhi's philosophy of Satyagraha (nonviolent resistance).
• Later, "Satyameva Jayate" was adopted as the national motto of India and is inscribed on the State Emblem of India.

Additional Information

• Pandit Madan Mohan Malaviya
• ​He was a great Indian scholar, educationist and leader of the Indian National Movement.
• He got the title 'Pandit' and 'Mahamana (a great soul)' due to his wondrous works.
• He led the foundation of Hindu Mahasabha and co-founded the Banaras Hindu University.
• He remained the Vice-Chancellor of BHU between 1919 and 1938.
• He was associated with several newspapers. In 1919, he set up 'The Leader,' a popular English newspaper.
• Between 1924 to 1946, he worked as the chairman of the Hindustan Times.
• He was awarded the greatest civilian award, the Bharat Ratna, posthumously on 24^th December 2014.

Shortcut Trick

Speed Ratio of Car 1 and Car 2 = 45 : 54 = 5 : 6

Time Ratio for constant distance = 6 : 5 (Inverse of Speed)

Difference in time units = 6 − 5 = 1 unit = 15 minutes = 1/4 hour

Actual time for Car 2 = 5 units × 1/4 hour = 1.25 hours

Meeting Distance = Speed of Car 2 × Time = 54 × 1.25 = 67.5 km

∴ The correct answer is 67.5 km.

Alternate Method

Given:

Speed of Car 1 = 45 km/h at 8:30 am

Speed of Car 2 = 54 km/h at 8:45 am

Time difference = 15 minutes = 1/4 hour

Formula Used:

Distance = Speed × Time

Relative Speed (Same direction) = Speed₂ − Speed₁

Calculations:

⇒ Distance covered by Car 1 in 15 minutes = 45 × (15/60) = 45 × 1/4 = 11.25 km

⇒ Relative Speed = 54 − 45 = 9 km/h

⇒ Time taken by Car 2 to catch Car 1 = Initial gap ÷ Relative speed

⇒ Time = 11.25 ÷ 9 = 1.25 hours

⇒ Distance from A = Speed of Car 2 × Time = 54 × 1.25

⇒ Distance = 67.5 km

∴ The correct answer is 67.5 km.

Additional Information

Relative Speed Concept

When two objects move in the same direction, relative speed = S₁ − S₂. In the opposite direction, relative speed = S₁ + S₂.

Meeting Distance Formula

Meeting distance from the starting point = (S₁ × S₂ × Δt) ÷ (S₂ − S₁), where Δt is the time gap between starts.

Unit Conversion

To convert km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

The logic followed here is: (Number of sides in outer figure × Number of sides in inner figure) + 1 = Number.

Figure 1): Outer figure(Pentagon) = 5 (Number of sides); Inner figure (Square) = 4 (Sides) ⇒ 5 × 4 + 1 = 21

Figure 2): Outer figure(Hexagon) = 6 (Number of sides); Inner figure (Rhombus) = 4 (Sides) ⇒ 6 × 4 + 1 = 25

Figure 3): Outer figure(Triangle) = 3 (Number of sides); Inner figure (Pentagon) = 5 (Sides) ⇒ 3 × 5 + 1 = 16

Figure 4): Outer figure(Square) = 4 (Number of sides); Inner figure (Square) = 3 (Triangle) ⇒ 4 × 3 + 1 = 13

Hence, the correct answer is "13".

Given:

The ratio of volumes of two spheres = 8 : 27

Formula used:

Volume of a sphere = (4/3)πr³

Surface area of a sphere = 4πr²

Let the radii of the two spheres be r₁ and r₂ respectively.

If their volumes are in the ratio 8 : 27, then

(r₁/r₂)³ = 8/27

Calculations:

⇒ (r₁/r₂) = (8/27)^1/3

⇒ (r₁/r₂) = 2/3

The ratio of the surface areas of the spheres is given by:

(Surface area of sphere 1) / (Surface area of sphere 2) = (4πr₁²) / (4πr₂²)

⇒ (r₁²) / (r₂²)

⇒ (2/3)²

⇒ 4/9

∴ The correct answer is option (2).

The correct answer is the Unionist party

Key Points

• In the 1937 Provincial Elections under the Government of India Act, 1935, the Unionist Party formed the government in Punjab.
• Unionist Party:
• The party was a coalition of landlords, primarily Hindu, Muslim, and Sikh rural elites.
• It was led by Sir Sikandar Hayat Khan.
• The Unionist Party's primary focus was on agrarian reforms and communal harmony.

Additional Information

• Provincial elections were held in British India in the winter of 1936-37 as mandated by the Government of India Act 1935.
• Elections were held in 11 provinces - Madras, Central Provinces, Bihar, Orissa, United Provinces, Bombay Presidency, Assam, NWFP, Bengal, Punjab, and Sindh.
• The final results of the elections were declared in February 1937. The INC emerged in power in eight of the provinces - the exceptions being Punjab and Sindh.
• It got a majority in all provinces, except in Bengal, Assam, Punjab, Sindh and the NWFP, and emerged as the largest party in Bengal, Assam and the NWFP.
• Out of the total 11 provinces, Congress formed ministries in 8 provinces- Madras, UP, Bombay, Central Provinces, Bihar, Orissa, Assam and NWFP. In 2 of the provinces, Punjab and Sind, Congress was in coalition with regional parties.
• In Bengal, although Muslim League was the single largest party, but did not have a majority. The All-India Muslim League was unable to create a government in any of the provinces.
• In Bengal, Congress was the largest party (with 52 seats). But the Krishak Praja Party of A. K. Fazlul Huq (with 36 seats) was able to form a coalition government.

The logic follows here is:

So, 5/E will complete the series.

Hence, the correct answer is "Option 2".

The correct answer is Attorney General.

• The Attorney General of India is the highest law officer in the country.
• He is the first Law officer of India
• He is the chief legal advisor to the government and is the primary lawyer in the Supreme Court of India.
• His duty is to give advice to the Government of India upon such legal matters, which are referred to him by the President.
• He appears before the Supreme Court and various high courts in cases involving the Government of India.
• He should have the qualification to be a judge of the Supreme Court.
• He is appointed by the President and holds the office during the pleasure of the President.
• He is removed from his office by the President.
• The term of office of the  Attorney General of India is not fixed by the Constitution.
• He is not a member of the Cabinet.
• He has the right to speak in either House of the Parliament, but he has no right to vote.​
• The current Attorney General of India - R. Venkataramani
• The first Attorney General of India - M. C. Setalwad.
• The longest-serving Attorney General of India - M. C. Setalwad.
• Article 76 - Provides the office of Attorney General of India.

Given:

Mean of the numbers 2, 4, 5, 8, 2, and 3 is m.

The numbers 4, 3, 3, 5, m, 3, and p have mean m + 1, median q, and mode r.

Formula used:

Mean = (Sum of all values) / (Number of values)

Calculation:

Mean of 2, 4, 5, 8, 2, 3:

⇒ m = (2 + 4 + 5 + 8 + 2 + 3) / 6

⇒ m = 24 / 6

⇒ m = 4

Mean of 4, 3, 3, 5, 4, 3, p = m + 1:

⇒ (4 + 3 + 3 + 5 + 4 + 3 + p) / 7 = 5

⇒ (22 + p) / 7 = 5

⇒ 22 + p = 35

⇒ p = 13

Median of 4, 3, 3, 5, 4, 3, 13:

Sorted list: 3, 3, 3, 4, 4, 5, 13

⇒ q = 4

Mode of 4, 3, 3, 5, 4, 3, 13:

⇒ r = 3

Value of (p + q - r):

⇒ (13 + 4 - 3)

⇒ 14

∴ The correct answer is option (3).

Given:

Expression: $3\frac{{21}}{{23}} \div 3\frac{{15}}{{31}}$

Formula Used:

Convert mixed fractions to improper fractions: $a\frac{b}{c} = \frac{{a \times c + b}}{c}$

Division of fractions: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Calculation:

Convert the mixed fractions to improper fractions:

$3\frac{{21}}{{23}} = \frac{{3 \times 23 + 21}}{{23}} = \frac{{69 + 21}}{{23}} = \frac{{90}}{{23}}$

$3\frac{{15}}{{31}} = \frac{{3 \times 31 + 15}}{{31}} = \frac{{93 + 15}}{{31}} = \frac{{108}}{{31}}$

Expression: $3\frac{{21}}{{23}} \div 3\frac{{15}}{{31}}$

⇒ $\frac{{90}}{{23}} \div \frac{{108}}{{31}} = \frac{{90}}{{23}} \times \frac{{31}}{{108}}$

⇒ $\frac{{90 \div 18}}{{23}} \times \frac{{31}}{{108 \div 18}} = \frac{{5}}{{23}} \times \frac{{31}}{{6}}$

⇒ $\frac{{5 \times 31}}{{23 \times 6}} = \frac{{155}}{{138}}$

∴ The correct answer is option 4.

The correct answer is Abdul Rahim Khan-i-Khanan

Key Points

• Abdul Rahim Khan-i-Khanan was Bairam Khan's son, who became an important person in Akbar's court.
• He was an eminent scholar of Sanskrit, Hindi and Rajasthani alongside Persian, Arabic and Turki.
• He was one of the nine important rank holders of Navratnas from the court of Mughal emperor Akbar.
• He was the son of Bairam Khan mentor and guardian of Akbar.
• He translated Baburnama into Persian and also wrote two astrology books in  Sanskrit named Khetakautukam, and Dwatrimshadyogavali.

Additional Information

• Amir Khusrow​
• Amir Khusro was a famous musician in the court of Alauddin Khalji (Lived in the courts of as many as 7 different rulers of the Delhi Sultanate)
• .Amīr Khusrau was a Sufi singer, poet, and scholar from India.
• Khusrau is also referred to as the "Voice of India" or "Parrot of India"
• Sitar is said to have been invented by Amir Khusrow.
• His work Khaliq-e-bari, which is known as the oldest printed dictionary in the world deals with Hindi and Persian words.
• Birbal
• The real name of Birbal was Mahesh Das.
• Mahesh Das was a skilled poet and is known for his charismatic wit and humour.
• Birbal was a trusty advisor.
• The Emperor conferred on him with the title Birbal.
• Birbal had a close association with Mughal Emperor Akbar and was one of his most important courtiers, part of a group called the navaratnas (nine jewels).
• Stories of Akbar and Birbal are extremely popular in India.
• Abul Fazl
• ​Abul Fazl, was an Indian writer, historian, and politician who served as the grand vizier of the Mughal Empire from his appointment in 1579, until his death in 1602.
• His notable works include the Akbarnama, Ain-i-Akbari, and a Persian translation of the Bible
• Abul Fazl wrote a three-volume history of Akbar's reign titled, Akbarnama.
• The first volume dealt with Akbar's ancestors and the second volume recorded the events of Akbar's reign.
• The Ain-i-Akbari is the third book in the Akbarnama written during the reign of the Mughal Emperor, Akbar.

The correct answer is Rann of Kutch

Key Points

• The Rann of Kutch is a vast salt marsh area located in the state of Gujarat, India.
• It is known for its uplifted regions, saline sandy flats, and swamps, particularly the Great Rann and Little Rann.
• It is a significant feature of the region's geography, with a harsh, arid climate and seasonal variations
• where it becomes flooded during the monsoon season, creating a swampy environment.

Additional Information

• Western Coastal Plain:
• It lies between the Western ghats and the Arabian Sea.
• It extends from Rann of Kutch to Kanyakumari.
• It is narrower than the Eastern coastal plains.
• It is divided into 4 parts:
• Kutch and Kathiawar coast - Extends from Rann of Kutch to Daman
• Konkan Coast (northern part) - Extends from Daman to Goa.
• Kanada Coast (central part) - Extends from Goa to Mangalore.
• Malabar Coast (southern part) - Extends from Mangalore to Kanyakumari.
• Eastern Coastal Plain:
• It lies between the Eastern Ghats and the Bay of Bengal.
• It extends from West Bengal to Tamil Nadu.
• The deltas of Mahanadi, Krishna, Godaveri, Cauvery River are present here.
• It is divided into 3 parts:
• Utkal Coast - Extends between Chilka Lake and Kolleru Lake.
• Andhra Coast/Northern Circars - Extends between Kolleru Lake and Pulicat Lake.
• Coromandel Coast - Extends between Pulicat Lake and Kanyakumari.
• Both, the western and eastern coastal plains join at Kanyakumari.​

Given:

If A is 70% more than B, then B is what percent less than A?

Formula used:

If A is x% more than B, then B is $\dfrac{x}{(100+x)} \times 100$% less than A.

Calculation:

Here, A is 70% more than B.

⇒ B is $\dfrac{70}{(100+70)} \times 100$% less than A.

⇒ B is $\dfrac{70}{170} \times 100$% less than A.

⇒ B is $\dfrac{7000}{170}$% less than A.

⇒ B is 41$\dfrac{3}{17}$% less than A.

∴ The correct answer is option (3).

Given:

An article is sold to Mr. X at a profit of 20%. Mr. X sells it to Mr. Y at a profit of 25%. Mr. Y pays ₹225 for the article.

Formula used:

Let the cost price for the original seller be ₹C.

Cost price for Mr. X = C × 1.20

Selling price for Mr. X (which is cost price for Mr. Y) = C × 1.20 × 1.25

Calculation:

Mr. Y pays ₹225 for the article, so:

225 = C × 1.20 × 1.25

⇒ 225 = C × 1.50

⇒ C = 225 / 1.50

⇒ C = 150

∴ The correct answer is option (1).

The correct answer is Dadabhai Naoroji

Key Points

• Dadabhai Naoroji was the first Indian to become a member of the British Parliament.
• He was elected for the Liberal Party in Finsbury Central at the 1892 general election, was the first British Indian MP.
• Dadabhai Naoroji was popularly known as 'The Grand Old Man of India'.
• He was also an intellectual and educator.
• For the betterment of his countrymen, he founded the Dnyan (Gyan) Prasarak Mandali to educate women.

Additional Information

• The British Parliament is the supreme legislative body in the United Kingdom, comprising two houses and responsible for making laws, scrutinizing the government, and representing the interests of the people.
• East india company was incorporated in England in 1600 and eventually becoming British.
• East India Company was disbanded in 1874.
• It was established to engage in trade with the East Indies and later, East Asia, in the Indian Ocean region.
• The British East India Company first arrived in India as a spice dealer.
• Other from that, their main commodities were opium, silk, cotton, indigo dye, and tea.
• On August 24, 1608, they arrived in the Indian subcontinent at the port of Surat.

The correct answer is Viscosity

Key Points

• Viscosity: It is the property of a fluid, by virtue of which it opposes the relative motion between its different layers is known as viscosity.
• This force is known as the viscous force.
• Mathematically, $F = - η A\frac{{dv}}{{dx}};$
• where, η = coefficient of viscosity, A = area, dv/dx = velocity gradient.
• Viscosity is caused by cohesion between the molecules of a liquid and the exchange of molecular momentum between fluid layers.
• As temperature increases, the distance between the molecules increases, which decreases the cohesive force.

Additional Information

• The SI unit of viscosity is the poiseuille (Pl), but it can also be measured in Nsm-2 or Pa s.
• The frictional force exerted by fluids on a solid object is called drag.
• Drag is caused by the difference in velocity between the fluid and the object.
• There are several types of drag, including skin friction drag and pressure drag

Given:

Time (t) = 3 years

Rate (r) = 5% per annum

Difference in compound interest and simple interest = ₹244

Formula used:

Simple Interest (SI) = $\dfrac{P \times r \times t}{100}$

Compound Interest (CI) = $\ P \left( 1 + \dfrac{r}{100} \right)^t - P$

Difference = CI - SI

Calculation:

Let the principal amount be P.

SI = $\dfrac{P \times 5 \times 3}{100}$ = $\dfrac{15P}{100}$

CI = $\ P \left( 1 + \dfrac{5}{100} \right)^3 - P$

CI = $\ P \left( 1.05 \right)^3 - P$

CI = $\ P \left( 1.157625 \right) - P$

CI = $\ 1.157625P - P$

CI = $\ 0.157625P$

Difference = CI - SI

244 = $\ 0.157625P - \dfrac{15P}{100}$

244 = $\ 0.157625P - 0.15P$

244 = $\ 0.007625P$

⇒ P = $\dfrac{244}{0.007625}$

⇒ P = ₹32,000

∴ The correct answer is option (4).

The correct answer is Imperial Bank Of India

Key Points

• The Imperial Bank of India was founded by J. M. Keynes on 27 January 1921.
• The Imperial Bank was formed as a joint-stock bank in January 1921 by amalgamating the Presidency Banks of Bombay, Calcutta, and Madras.
• It was one of the oldest and largest banks in the Indian sub-continent.
• Initially, it acted as Central Bank for British India, before the establishment of the Reserve Bank of India in 1935.
• On 30 April 1955, the Imperial Bank of India was renamed the State Bank of India.

Additional Information

• Canara Bank:
• It was Founded in 1906 by S. Ramanathan Chettiar in Mangalore, Karnataka, making it one of India's oldest public sector banks.
• It Offers a wide range of banking services, including personal, business, and corporate banking, along with investment and insurance services.
• Canara Bank has a strong domestic and international presence with numerous branches across India and branches in several countries globally.
• Central Bank of India:
• It was Founded in 1911 by Sir Sorabji Pochkhanawala, it was the first Indian commercial bank to be owned and managed entirely by Indians.
• It Provides personal banking, corporate banking, and agricultural banking services, including loans, savings accounts, and wealth management.
• The bank is headquartered in Mumbai, Maharashtra, and it has a vast network of branches throughout India.
• Indian Bank:
• It was Founded in 1907 in Chennai, Tamil Nadu, it has played a significant role in the growth of the Indian banking sector.
• It offers a full spectrum of banking services, including retail, corporate banking, and government services, along with specialized services in agricultural financing.
• In 2020, Allahabad Bank merged with Indian Bank, significantly expanding its network and customer base.

The correct answer is President of Indonesia

Key Points

• Sukarno was the chief guest at the first Republic Day celebration of India in 1950.
• Sukarno was the first President of Indonesia and a prominent leader in the Indonesian struggle for independence from the Dutch colonial rule.
• The invitation of Sukarno as the chief guest underscored the close relations between India and Indonesia, both of which were newly independent nations at the time.
• The first Republic Day celebration marked the adoption of the Constitution of India and the transition of India from a British Dominion to a republic.

Additional Information

• The Constitution of India was adopted by the Constituent Assembly on 26^th November 1949 and came into effect on 26^th January 1950.
• It lays down the framework defining fundamental political principles, establishes the structure, procedures, powers, and duties of government institutions, and sets out fundamental rights, directive principles, and the duties of citizens.
• The Constitution of India is the longest written constitution of any country in the world.
• It declares India a sovereign, socialist, secular, and democratic republic, assuring its citizens justice, equality, and liberty, and endeavors to promote fraternity.
• The Republic Day is celebrated every year on 26^th January to honor the date on which the Constitution of India came into effect.

The correct answer is Uttarakhand

Key Points

• Chainsoo is a famous food preparation of the state of Uttarakhand
• Chainsoo is a traditional, protein-rich, and flavorful lentil dish from Uttarakhand.
• It's made by roasting black gram lentils, grinding them into a powder, and cooking them with spices in an iron pot.
• Chainsoo is also known as Chaunsa.
• Chainsoo is usually eaten with steamed rice, roti, or mandua ki roti, and can be paired with raita, pickle, or salad.
• Chainsoo originated in the Kumaon region of Uttarakhand.

Additional Information

• Famous Food of Other States
• Telangana:
• Hyderabadi Biryani: A famous rice dish made with marinated meat (chicken, mutton, or beef), basmati rice, and a blend of aromatic spices.
• Saddhya: A traditional vegetarian feast served during festivals and special occasions, often including rice, curries, and sweets.
• Sarva Pindi: A savory rice pancake made with rice flour, spices, and vegetables, fried until crispy.
• Pesarattu: A green gram pancake, often served with chutneys and curry.
• Khubani ka Meetha: A dessert made with dried apricots, sugar, and a touch of cardamom.
• Maharashtra:
• Puran Poli: A sweet flatbread stuffed with a mixture of jaggery and split yellow gram (chana dal).
• Vada Pav: A popular street food consisting of a spiced potato fritter (vada) served in a bun (pav).
• Misal Pav: A spicy curry made with sprouted lentils, served with pav (bread).
• Bhel Puri: A popular snack made with puffed rice, vegetables, and tamarind sauce.
• Poha: Flattened rice cooked with mustard seeds, turmeric, onions, and peanuts.
• Arunachal Pradesh:
• Thukpa: A Tibetan-style noodle soup made with vegetables or meat. It's hearty and often served with spices and herbs.
• Momos: Dumplings filled with vegetables or meat, typically steamed or fried.
• Pasa: A traditional fish soup made with fish, herbs, and spices, commonly served with rice.
• Apong: A local rice beer that is widely consumed in the state.

Given:

Mean of the distribution = 26

Formula used:

Mean = $\dfrac{\sum f_i \cdot x_i}{\sum f_i}$

Where xixixixixi

  is the midpoint of each class interval.

Calculations:

Midpoints of classes are:

0-10: 5, 10-20: 15, 20-30: 25, 30-40: 35, 40-50: 45

Calculating the sum of frequencies and sum of (frequency × midpoint):

Sum of frequencies: 8 + 10 + k + 6 + 12

Sum of (frequency × midpoint):

(8 × 5) + (10 × 15) + (k × 25) + (6 × 35) + (12 × 45)

Mean = 26

26 = $\dfrac{(8×5) + (10×15) + (k×25) + (6×35) + (12×45)}{8 + 10 + k + 6 + 12}$

⇒ 26 = $\dfrac{40 + 150 + 25k + 210 + 540}{36 + k}$

⇒ 26(36 + k) = 940 + 25k

⇒ 936 + 26k = 940 + 25k

⇒ 936 + k = 940

⇒ k = 4

∴ The correct answer is option 3.

The correct answer is Washing Soda

Key Points

• Permanent hardness of water is caused by the presence of dissolved calcium and magnesium salts, such as calcium sulfate and magnesium chloride,
• which do not get removed easily by boiling.
• Washing Soda (also known as sodium carbonate, Na₂CO₃) can be added to hard water to remove permanent hardness by precipitating out the calcium and magnesium ions as insoluble salts (calcium carbonate and magnesium carbonate).
• Washing soda reacts with the calcium and magnesium salts in hard water to form insoluble carbonates, which can then be removed by filtration.

Additional Information

• Permanent hardness is not removed by boiling.
• Ion-exchange method:
• ​This method is also called the zeolite/permutit process.
• In this method, the permanent hardness of water is removed by using resins.
• Ca++/Mg++ ions are exchanged with Cl–, SO4-2 ions are exchanged with anion exchange resin (RNH2OH). Demineralized water is formed in this process.
• Hydrated sodium aluminium silicate is zeolite/permutit.
• For the sake of simplicity, sodium aluminium silicate (NaAlSiO4) can be written as NaZ.
• When this is added to hard water, exchange reactions take place.

Given:

Triangle sides: 3 cm, 4 cm, 5 cm.

Formula used:

Inradius (r) = (a + b - c) ÷ 2

Circumradius (R) = c ÷ 2

Calculations:

Calculate Inradius.

r = (3 + 4 - 5) ÷ 2

⇒ r = 2 ÷ 2

⇒ r = 1 cm

Calculate Circumradius.

R = 5 ÷ 2

⇒ R = 2.5 cm

Calculate the Ratio r/R.

r/R = 1 ÷ 2.5

⇒ r/R = 2 ÷ 5

Answer:

The ratio of the radius of the in-circle to that of the circumcircle is 2 : 5.

The correct answer is National Securities Depositories Limited

Key Points

• In economics, NSDL stands for National Securities Depository Limited
• National Securities Depositories Limited (NSDL) is the first and largest depository presently operational in India.
• The enactment of the Depositories Act in August 1996 paved the way for the establishment of NSDL.
• It was established in August 1996
• It was promoted as a joint venture of the IDBI, UTI, and the National Stock Exchange.
• Its tag line −Technology, Trust and Reach.
• It is a state-of-the-art infrastructure that handles most of the securities held and settled in dematerialized form in the Indian capital market.
• The Central Depository Services Limited (CDSL) is the second depository to commence operations and was promoted by the Bombay Stock Exchange and the Bank of India.
• Both these national-level depositories operate through intermediaries who are electronically connected to the depository and serve as contact points with the investors and are called depository participants.
• Mr G. V. Nageswara Rao is Managing Director & CEO of National Securities Depository Limited

Additional Information

• Central Depositories in India
• There are two main central depositories in India.
• NSDL (National Security Depository Limited)
• CSDL (Central Depository Services Limited)
• The main shareholders of NSDL are:
• Axis Bank Limited
• Deutsche Bank
• HSBC
• Citibank
• HDFC Bank
• Standard Chartered Bank
• Dena Bank
• Oriental Bank of Commerce
• State Bank of India (SBI)
• Canara Bank

Given:

Three different traffic signals change lights every 72, 108, and 48 seconds respectively.

Lights change simultaneously at 9:30:00 am.

Formula used:

To find the next time they change simultaneously, we need to calculate the Least Common Multiple (LCM) of the three time intervals.

Calculations:

LCM of 72, 108, and 48.

First, find the prime factors:

72 = 2³ × 3²

108 = 2² × 3³

48 = 2⁴ × 3¹

LCM is found by taking the highest power of each prime factor:

LCM = 2⁴ × 3³

⇒ LCM = 16 × 27

⇒ LCM = 432 seconds

Convert 432 seconds to minutes and seconds:

432 seconds = 7 minutes and 12 seconds

9:30:00 am + 7 minutes 12 seconds = 9:37:12 am

∴ The correct answer is option (2).

Given:

x% of 10.8 is equal to 32.4.

Formula Used:

x% of a number y is given by (x/100) × y .

Calculation:

x% of 10.8 = 32.4

⇒ (x/100) × 10.8 = 32.4

⇒ x/100 = 32.4 / 10.8

⇒ x/100 = 3

⇒ x = 3 × 100

⇒ x = 300

The value of x is 300.

The correct answer is Andhra Pradesh

Key Points

• About Sriharikota:
• Sriharikota is a Barrier Island off the Bay of Bengal coast located in the Shar Project settlement of the Nellore district in Andhra Pradesh.
• The Satish Dhawan Space Centre is located here in Sriharikota, one of the two satellite launch centers in India.
• The first station is The Thumba Equatorial Rocket Launching Station for Polar Satellite Launch Vehicle (PSLV) in Thiruvananthapuram, Kerala.
• The second one is the Geosynchronous Satellite Launch Vehicle (GSLV) from Sriharikota, Andhra Pradesh.
• It is partly situated in Sullurpeta Mandal and located in Tada Mandal in Nellore district in Andhra Pradesh.
• Sriharikota separates Pulicat Lake from the Bay of Bengal.
• The nearest railway station and town are Sullurpeta which is 16 km west of Sriharikota.

Additional Information

About Satish Dhawan Space Centre:

• It is a Rocket Launch center (spaceport) operated by the Indian Space Research Organisation (ISRO).
• Sriharikota Range was renamed after ISRO's former chairman Satish Dhawan in 2002.
• The SDSC centre became operational in 1971 when the First RH-125 Sounding Rocket was launched from this space center.

The correct answer is Majuli Island

Key Points

• The Mishing tribes live on Majuli Island in Assam, India
• Majuli Island is a river island located in Assam along the bank of river Brahmaputra.
• It became the first river island to be made a district in 2016.
• It is mostly inhabited by the Mishing tribal people.
• Historically, it has been the hub of the Assamese neo-Vaishnavite culture.
• It is the world’s largest mid river delta system.

Additional Information

• Minicoy Island is separated from the Lakshadweep by Nine degrees Channel.
• The Union Territory of Lakshadweep is formed by islands like Kalpeni and Suheli Par, and Maliku Atoll and Amindivi.
• It is so named because it lies on the 9-degree line of Latitude to the north of the equator.
• The Ten-degree channel separates the Andaman group from Nicobar.
• Duncan passage lies between South Andaman and Little Andaman group.
• Eight Degree Channel separates the islands of Minicoy and Maldives.

Given:

3/5 of a number = 1/2 of the second number + 10

3/7 of the number - 8 = 1/2 of the second number - 4

Formula used:

Set up equations based on the given conditions.

Calculations:

Step 1:

3/5 × A = 1/2 × B + 10

⇒ B = (6/5 × A) - 20

Step 2:

3/7 × A - 8 = 1/2 × B - 4

⇒ 3/7 × A - 8 = 3/5 × A - 14

Step 3:

3/7 × A - 3/5 × A = -14 + 8

⇒ -6/35 × A = -6

⇒ A = 35

Step 4:

B = (6/5 × 35) - 20 = 42 - 20 = 22

Answer:

Sum of two numbers = 35 + 22 = 57

The correct answer is Punjab

Key Points

• Qila Mubarak, is a historical monument in the heart of the city of Bathinda in Punjab, India.
• It is recognised as monument of national importance and maintained by Archaeological Survey of India.
• It has been in existence from 1100 to 1200 AD in its current place and is the oldest surviving fort in India
• It was here that Razia Sultan, the first woman to take charge of the Delhi throne was incarcerated upon her defeat and dethroned.

Additional InformationRazia Sultana Born: 1205 ​Reign: 1236 – 1240

• She was Iltutmish’s daughter.
• She is also the first and last Muslim woman to rule over Delhi.
• She was defeated by Malik Ikhtiar-ud-din Altunia, the governor of Bathinda.
• After which sultana was prisoned at Qila Mubarak fort.
• She later married to Malik Ikhtiar-ud-din Altunia.
• She was reportedly killed by her brother’s forces.
• She was succeeded by her brother Muizuddin Bahram Shah

Given Statement: Vikansh could not solve his math problem today because Gavaskar is absent from school.

Now, 

Assumptions:

L. Usually, Vikansh can solve his math problems himself - Not Implicit (The statement does not indicate that Vikansh usually solves math problems on his own; it only mentions his inability to solve the problem due to Gavaskar's absence.)

M. Usually, Gavaskar helps Vikansh solve his math problems - Implicit (The statement suggests that Gavaskar's absence is the reason Vikansh could not solve his math problem, implying that Gavaskar usually helps him.)

Here, Only assumption M is implicit.

Hence, the correct answer is "Option 4".

Given:

Four years ago, the ratio of the age of Ram to that of Shyam was 13:9.

Eight years from now, their ages will be in the ratio 4:3.

Formula used:

Let the present ages of Ram and Shyam be R and S years respectively.

Four years ago:

$\dfrac{R-4}{S-4} = \dfrac{13}{9}$

Eight years from now:

$\dfrac{R+8}{S+8} = \dfrac{4}{3}$

Calculations:

From the first equation:

⇒ 9(R - 4) = 13(S - 4)

⇒ 9R - 36 = 13S - 52

⇒ 9R - 13S = -16 ... (i)

From the second equation:

⇒ 3(R + 8) = 4(S + 8)

⇒ 3R + 24 = 4S + 32

⇒ 3R - 4S = 8 ... (ii)

Solving equations (i) and (ii):

Multiply equation (ii) by 3:

⇒ 9R - 12S = 24 ... (iii)

Subtract equation (i) from equation (iii):

⇒ (9R - 12S) - (9R - 13S) = 24 - (-16)

⇒ 9R - 12S - 9R + 13S = 40

⇒ S = 40

Substitute S = 40 in equation (ii):

⇒ 3R - 4(40) = 8

⇒ 3R - 160 = 8

⇒ 3R = 168

⇒ R = 56

The difference between their present ages:

⇒ 56 - 40 = 16

∴ The correct answer is option (1).

Given:

1.5 × X = 0.05 × Y

Formula used:

(Y - X) ÷ (Y + X)

Calculations:

Step 1:

1.5 × X = 0.05 × Y

⇒ Y = (1.5 ÷ 0.05) × X

⇒ Y = 30 × X

Step 2:

(Y - X) ÷ (Y + X) = (30X - X) ÷ (30X + X)

⇒ (29X) ÷ (31X)

⇒ 29 ÷ 31

⇒ ≈ 0.9355

Answer:

The value of (Y - X) ÷ (Y + X) is approximately 0.9355.

The correct answer is Egg Production.

Key Points Silver Revolution is related to Egg Production.

• It refers to the period in which the egg production rises considerably.
• It was done with the help of medical science and a diet rich in protein for the hens.
• It was like green and the white revolution in India.
• It was started in 1969-1978.

Additional Information

Statements:

I. Country X has started a war with Country Y during the start of the year.

II. Country Y has lost the lives of so many soldiers over the year.

Statement I is the cause, it would mean that the war initiated by Country X at the start of the year led to the significant loss of soldiers in Country Y over the year. This is a logical cause-effect relationship, as wars generally result in casualties.

Statement II is the cause, it would mean that the loss of soldiers in Country Y prompted Country X to start the war. However, this is implausible because soldier casualties are typically the result of war, not its cause.

Therefore, Statement II is the effect, and Statement I is its immediate and principal cause.

Hence, the correct answer is "Option 2".

The correct answer is Tsetse Fly

Key Points 

• The sleeping sickness is caused by microscopic parasites of the species Trypanosoma brucei.
• It is transmitted by the tsetse fly (Glossina species), which is found only in sub-Saharan Africa.
• Trypanosoma, any member of a genus (Trypanosoma) of parasitic zooflagellate protozoans belonging to the order Kinetoplastida.
• The adult trypanosomes are mainly blood parasites of vertebrates, especially fishes, birds, and mammals.
• Most species require an intermediate host (often an insect or a leech) to complete their life cycle.
• The other species of trypanosomes induce economically important diseases of livestock nagana, surra, mal de caderas, and dourine.

Additional Information

• Mosquito-borne diseases: Are those that are caused by the bite of mosquitoes, e.g. Dengue (Aedes Egypti mosquito), Malaria (Anopheles mosquito), West Nile fever, etc.
• Sandfly: it causes Leishmaniasis caused by the Leishmania parasite which is spread by the bite of sand fly.
• Housefly: are capable of acting as vectors for diseases such as diarrhea, typhoid, and cholera.

Given:

The difference between two numbers which are in the ratio 5 : 3 is 50.

Formula used:

If the numbers are in the ratio 5 : 3 and their difference is 50, let the numbers be 5x and 3x.

Given: 5x - 3x = 50

Calculation:

⇒ 2x = 50

⇒ x = 25

The numbers are 5x and 3x.

⇒ 5x = 5 × 25 = 125

⇒ 3x = 3 × 25 = 75

The product of the numbers is:

⇒ 125 × 75 = 9375

∴ The correct answer is option (4).

The correct answer National Development Council. ​

Key Points

• The National Development Council is the final approval authority for the five-year plans.
• It is headed by the Prime Minister and consists of Union Cabinet Ministers, Chief Ministers or representatives of all States and Union Territories and members of NITI Aayog.
• The Planning Commission was an institution of the Government of India, which formulated the Five Year Plans of India.
• In 2014, Prime Minister Shri Narendra Modi announced the dissolution of the Planning Commission and its replacement by a new body called NITI Aayog.​

Additional Information 

• Finance ministry or Ministry of Finance is a ministry which concerns itself with taxation, financial legislation, financial institutions, capital markets, centre and state finances, and the Union Budget.
• Current Finance Minister of India - Nirmala Sitharaman
• Minister of State for Finance - Dr. Bhagwat Kishanrao Karad, Shri Pankaj Chaudhary
• ​International Monetary Fund (IMF) was initiated in 1944 at the Bretton Woods Conference. Headquartered in Washington, D.C.

Important Points

• The Ministry of Finance is a ministry that deals with taxation, financial law, financial institutions, capital markets, central and state finances, and the central budget.

Given:

If triangle ABC is a right-angled isosceles triangle, right-angled at B, then find the value of $\dfrac{\sin (A - C) + \sin (A + C) - 2\sin B}{\cot A + \cot B + \cot C}$

Formula used:

For a right-angled isosceles triangle:

A = C = 45° and B = 90°

Calculation:

$\dfrac{\sin (A - C) + \sin (A + C) - 2\sin B}{\cot A + \cot B + \cot C}$

Substitute the values:

A = 45°, B = 90°, C = 45°

⇒ $\dfrac{\sin (45° - 45°) + \sin (45° + 45°) - 2\sin 90°}{\cot 45° + \cot 90° + \cot 45°}$

⇒ $\dfrac{\sin 0° + \sin 90° - 2 \times 1}{1 + 0 + 1}$

⇒ $\dfrac{0 + 1 - 2}{1 + 0 + 1}$

⇒ $\dfrac{-1}{2}$

∴ The correct answer is option 1.

Given:

Number of boys = 391

Number of girls = 323

Formula used:

To find the minimum number of groups, we need to find the Greatest Common Divisor (GCD) of the number of boys and the number of girls.

Calculation:

GCD of 391 and 323

Using the Euclidean algorithm:

391 ÷ 323 = 1 remainder 68

323 ÷ 68 = 4 remainder 51

68 ÷ 51 = 1 remainder 17

51 ÷ 17 = 3 remainder 0

GCD = 17

⇒ Minimum number of groups = (391 ÷ 17) + (323 ÷ 17)

⇒ Minimum number of groups = 23 + 19

⇒ Minimum number of groups = 42

∴ The correct answer is option (3).

Given:

Area of the square field = 2 km²

Formula used:

Diagonal (d) of a square = √2 × side

Area of the square = side²

Calculation:

Side² = 2 km²

⇒ Side = √2 km

Diagonal (d) = √2 × √2 km

⇒ Diagonal (d) = 2 km

∴ The correct answer is option (4).

Given:

Simplify $1.\overline{45} + 0.3\overline{12} - 1.11\overline{2}$

Formula used:

Converting repeating decimals to fractions

Calculation:

Let x = 1.454545...

⇒ 100x = 145.454545...

⇒ 100x - x = 145.454545... - 1.454545...

⇒ 99x = 144

⇒ x = 144 / 99

⇒ x = 16 / 11

Let y = 0.312312...

⇒ 1000y = 312.312312...

⇒ 1000y - 10y = 312.312312... - 3.12312...

⇒ 990y = 309.189

⇒ y = 309 / 990

⇒ y = 103 / 330

Let z = 1.112222...

⇒ 1000z = 1112.2222...

⇒ 1000z - 10z = 1112.2222... - 11.2222...

⇒ 990z = 1101

⇒ z = 1101 / 990

⇒ z = 37 / 33

Combining the fractions:

⇒$\frac{16}{11} + \frac{103}{330} - \frac{37}{33}$

⇒$\frac{480 + 103 - 370}{330}$

⇒ $\frac{213}{330}$

⇒$\frac{213}{330}$

⇒$\frac{213}{495}$

⇒ $\frac{589}{900}$

∴ The correct answer is option (3).

Given:

Ram can complete the work in 12 days

Shyam can complete the work in 18 days

Total payment = ₹15,000

Formula used:

Work done by Ram in one day = 1/12

Work done by Shyam in one day = 1/18

Share of payment is proportional to the work done

Calculation:

Work done by Ram in one day = 1/12

Work done by Shyam in one day = 1/18

Total work done in one day = 1/12 + 1/18

⇒ Total work done in one day = 3/36 + 2/36

⇒ Total work done in one day = 5/36

Ram's share of work = (1/12) / (5/36)

⇒ Ram's share = (1/12) × (36/5)

⇒ Ram's share = 3/5

Shyam's share of work = (1/18) / (5/36)

⇒ Shyam's share = (1/18) × (36/5)

⇒ Shyam's share = 2/5

Total payment = ₹15,000

Ram's payment = 3/5 × 15000

⇒ Ram's payment = ₹9,000

Shyam's payment = 2/5 × 15000

⇒ Shyam's payment = ₹6,000

∴ The correct answer is option (2).

Given:

24 + 13 - 5 {45 ÷ (17 - 2)}

Formula used:

BODMAS rule (Bracket, Order, Division and Multiplication, Addition and Subtraction)

Calculation:

24 + 13 - 5 {45 ÷ (17 - 2)}

⇒ 24 + 13 - 5 {45 ÷ 15}

⇒ 24 + 13 - 5 {3}

⇒ 24 + 13 - 15

⇒ 37 - 15

⇒ 22

∴ The correct answer is option 2.

The correct answer is Article 341

Key Points

• The constitutional authority, vested with the power of declaring castes and tribes as the Scheduled Castes and Scheduled Tribes, is the President of India.
• Article 341 deals with the above provision in the Indian Constitution,
• Article-341 empowers the President to include the names of various castes and tribes in a special list.​
• There are two main provisions in this article:
• The first clause states that the President can include a caste in a Scheduled Caste and a Scheduled Tribe through public notification of a State or Union Territory.
• The second clause states that the Indian Parliament can, by public notification of the President, remove any caste or community included in the Scheduled Castes or Tribes from this list.

Additional Information

• Article 200: Assent to Bills
• It is Concerned with The Governor's role in the legislative process.
• Provisions:
• After a bill is passed by the State Legislature, it is presented to the Governor for approval.
• The Governor can:
• Assent to the bill, making it a law.
• Withhold assent, effectively rejecting the bill.
• Return the bill to the legislature for reconsideration (except money bills).
• Reserve the bill for the consideration of the President if it is a matter of national importance or conflicts with central laws.
• If the President approves a reserved bill, it becomes law.
• Article 241: High Courts for Union Territories
• It is Concerned with Jurisdiction of High Courts in Union Territories (UTs).
• Provisions:
• Parliament may establish High Courts for Union Territories or extend the jurisdiction of a State High Court to a Union Territory.
• Delhi has its own High Court (Delhi High Court).
• Other UTs fall under the jurisdiction of nearby State High Courts (e.g., Chandigarh under Punjab and Haryana High Court).
• Article 43: Directive Principles of State Policy (DPSP)
• It is Concerned with Promotion of cottage industries and social welfare.
• Provisions:
• The State shall endeavour to:
• Provide a living wage and decent working conditions for all workers.
• Encourage the promotion of cottage industries on an individual or cooperative basis in rural areas.
• Objective: To ensure economic and social welfare and improve the standard of living of the working population.