RRB NTPC CBT-I Official Paper (Held On: 29 Jan 2021 Shift 2) (Previous Year Paper)

Given:

A can alone finish a task = 30 days

For the same task, A works for = 6 days and B works for = 24 days

Calculation:

⇒ Let the number of days taken by B to complete the work be x.

⇒ Work done by A = $\frac{6}{30}$

⇒ Work done by B = $\frac{24}{x}$

⇒ $\frac{6}{30}+\frac{24}{x}$ = 1

⇒ $\frac{24}{x}=1-\frac{1}{5}$

⇒ $\frac{24}{x}=\frac{4}{5}$

⇒ x = $\frac{24\times 5}{4}$ = 6 × 5 = 30 days

⇒ Adding efficiency of both A and B,

⇒ $\frac{1}{30}+\frac{1}{30}$ = $\frac{2}{30}$

⇒ A and B can finish the task together in = $\frac{30}{2}$ = 15 days

Therefore, A and B together can finish the task in 15 days.

Given:

Numbers between: 1 and 700

Divisor = 17

Concept Used:

$a_n=a+(n-1)d$

Where, a_n = Last term, a = First term, n= number of terms in a sequence, d = Common difference

Calculation:

The numbers between 1 and 700 which are completely divisible by 17 includes: 17, 34, 51,........., 697 which forms an AP.

⇒ Here, a (first term) = 17, a_n (last term) = 697, d (common difference) = 17

⇒ $697=17+(n-1)\times17$

⇒ $697-17=17n-17$

⇒ $697=17n$

⇒ $n=697\div17=41$

Therefore, 41 numbers are divisible by 17 between 1 and 700

The correct answer is the Respiratory system.

Key Points

• Nematodes possess digestive, nervous, excretory, and reproductive systems, but lack a discrete circulatory or respiratory system.
• Nematodes (roundworms) are cylindrical nonsegmented organisms that are found throughout the world both as free-living species and as human and animal pathogens.
• Adult nematodes are comprised of approximately 1,000 somatic cells, and potentially hundreds of cells associated with the reproductive system.
• Nematodes have been characterized as a tube within a tube, referring to the alimentary canal which extends from the mouth on the anterior end, to the anus located near the tail.
• In size, they range from 0.3 mm to over 8 meters.
• Some examples of Nematodes that commonly spread disease in humans include ascarids (Ascaris), filariasis, hookworms, pinworms (Enterobius), and whipworms (Trichuris trichiura).

Additional InformationDiagram of Male Ascaris (Nematode)-

Given:

Number =$3.1{\overline4}$

Calculation:

⇒ For the first number,

⇒ $3\frac{13}{90}=\frac{270+13}{90}=\frac{283}{90}=3.144444..$ = $3.1{\overline4}$

⇒ For the second number,

⇒ $3\frac{12}{90}=\frac{270+12}{90}=\frac{282}{90}=3.13333...$ = $3.1{\overline3}$

⇒ For the third number,

⇒ $3\frac{11}{90}=\frac{270+11}{90}=\frac{281}{90}=3.12222..$ = $3.1{\overline2}$

⇒ For the fourth number,

⇒ $3\frac{14}{90}=\frac{270+14}{90}=\frac{284}{90}=3.155555..$ = $3.1{\overline5}$

Therefore, the required value of 3.14 is $3\frac{13}{90}$.

Given:

4.17 hours

Concept Used:

1 hour = 60 minutes

1 minute = 60 seconds

Calculation:

⇒ We have, 4.17 hours

⇒ As of the whole part, 4 is considered as a  number of hours.

⇒ Left part = 4.17 –  4 = 0.17

⇒ Convert this 0.17 into minutes by multiplying it by 60,

⇒ 0.17 × 60 = 10.2

⇒ As a whole part, we got 10 minutes.

⇒ Now, convert 0.2 into seconds by multiplying it by 60,

⇒ 0.2 × 60 = 12

⇒ So, we got 12 as seconds.

Therefore, 4.17 hours can be written as 4 hours, 10 minutes, and 12 seconds.

According to the given Venn diagram, 

From this the yellow part in the diagram represents the teachers who are also social workers but not politicians.

Thus, there are 5 teachers in the diagram represents the teachers who are also social workers but not politicians

Hence, the correct answer is 'option 1'.

The correct answer is 24th October 1945.

Key Points

• The Charter of the United Nations is the founding document of the United Nations.
• It was signed on 26 June 1945, in San Francisco, at the conclusion of the United Nations Conference on International Organization.
• It came into force on 24 October 1945.
• The United Nations can take action on a wide variety of issues and because of its unique set of powers, it is considered an international treaty.
• As such, the UN Charter is an instrument of international law, and the UN Member States are bound by it.

Additional Information

The correct answer is **Rajeshwar Acharya.**​

Key Points

• Rajeshwar Acharya is a Hindustani classical vocalist from Varanasi, India.
• He belongs to the Gwalior Gharana of music.
• In 2019, he was conferred the Padma Shri.

Additional Information

• Following three are the recipients of Bharat Ratna, 2019- 
• Nanaji Deshmukh- He was a social activist from India. He worked in the fields of education, health, and rural self-reliance. He was a member of RSS, a leader of the Bharatiya Jana Sangh.
• Pranab Mukherjee- He is an Indian politician who served as the 13th President of India from 2012 until 2017.  He has been a senior leader in the Indian National Congress and has occupied several ministerial portfolios in the Government of India.
• Bhupen Hazarika- He was an Indian playback singer, lyricist, musician, singer, poet, and film-maker from Assam, widely known as Sudhakantha.

The logic here is:

Thus, the odd number is 42.

Hence, the correct answer is 'option 1'.

The correct answer is 1984.

Key Points

• The Raja Ramanna Centre for Advanced Technology is a unit of the Department of Atomic Energy, Government of India.
• On 19 February 1984 the then President of India, Gyani Zail Singh, laid the foundation stone of the Centre.
• In June 1986, the first batch of scientists from BARC, Mumbai, moved to RRCAT and scientific activities were started.
• The Centre is situated in Indore, Madhya Pradesh.
• The Centre is primarily engaged in R&D in non-nuclear front-line research areas of lasers, particle accelerators, and related technologies.

Given:

$\frac{(3.17 + 9. 12)^2 + (3.17-9.12)^2}{3.17 \times 3.17 + 9.12 \times 9.12}$

Concept Used:

(a + b)² = a² + b² + 2ab

(a – b)² = a² + b² – 2ab

Calculation:

⇒ We have, $\frac{(3.17 + 9. 12)^2 + (3.17-9.12)^2}{3.17 \times 3.17 + 9.12 \times 9.12}$

⇒ Expanding with formulas, we get

⇒ $\frac{(3.17)^2+(9.12)^2+2\times 3.17\times 9.12+(3.17)^2+(9.12)^2-2\times 3.17\times 9.12}{3.17^2+9.12^2}$

⇒ $\frac{3.17^2+9.12^2+3.17^2+9.12^2}{3.17^2+9.12^2}$

⇒ $\frac{2(3.17^2+9.12^2)}{3.17^2+9.12^2}=2$

Therefore, the required value of the equation is 2

The correct answer is Rohini.

Key Points

• Rohini is a series of satellites launched by the Indian Space Research Organization (ISRO).
• The Rohini series consisted of four satellites, each of which was launched by the Satellite Launch Vehicle (SLV).
• Rohini Technology Payload (RTP) was a 35 kg experimental spin-stabilized satellite and was launched on 10 August 1979 from Satish Dhawan Space Centre (SDSC).
• The satellite contained instruments to monitor the launch vehicle.
• Three more satellites RS-1, RS-D1, RS-D2 were launched in 1980, 1981, and 1983 respectively.

Additional Information

• Himawari 8- Himawari-8 (the 8th in the series) is a Japanese geostationary weather satellite operated by the Japan Meteorological Agency.
• Insat-3DR- INSAT-3DR is an Indian weather satellite built by the Indian Space Research Organisation and operated by the Indian National Satellite System. It was launched in 2016.
• Cartostat- This is a series of Indian optical earth observation satellites built and operated by the Indian Space Research Organisation. It was first launched in 2005.

The correct answer is The Cabinet Mission Plan 1946.

Key Points

• The Cabinet Mission of 1946 came to India aiming to discuss the transfer of powers from the British government to the Indian leadership.
• Under the Cabinet Mission Plan of 1946, elections were held for the first time for the Constituent Assembly.
• The Constitution of India was drafted by the Constituent Assembly, and it was implemented under the Cabinet Mission Plan on 16 May 1946.

Additional Information

• The Cabinet Mission of 1946 aimed at preserving India's unity and granting its independence.
• The Cabinet Mission was formulated at the initiative of Clement Attlee, the then Prime Minister of the United Kingdom.
• The mission contained as its members, Lord Pethick-Lawrence (Secretary of State for India), Sir Stafford Cripps (President of the Board of Trade), and A.V. Alexander (First Lord of the Admiralty).
• The cabinet mission recommended an undivided India and turned down the Muslim league's demand for a separate Pakistan.
• It recognized Indian Right to cede from  the Commonwealth.

The correct answer is Rs. 90.

Key Points

• Formula Used- 
• Profit= SP (selling price)- CP (cost price)
• Profit% = (Profit/CP)x100
• Given-
• Difference between 20% and 14% profit= Rs. 5.40
• Calculation- 
• (20/100)CP - (14/100)CP= 5.40
• (6/100)CP= 5.40 => CP= (5.40x100)/6= 90
• So, the CP of the book will be Rs. 90.

Given:

Age of Ravi's daughter three years ago = 4 years

Age of Ravi's wife = 5 times of daughter's age

Age of Ravi = 5 years more than the wife's age

Calculation:

⇒ Age of Ravi's daughter three years ago = 4 years

⇒ Present age of Ravi's daughter = 4 + 3 = 7 years

⇒ Now, Age of Ravi's wife = 5 times of daughter

⇒ Age of Ravi's wife = 5 × 7 = 35 years

⇒ Age of Ravi = 5 more than the age of his wife

⇒ So, Age of Ravi = 35 + 5 = 40 years

Therefore, the Ravi's present age is 40 years.

The correct answer is 61.54 km/h.

Key Points

• Formula used- 
• Speed= Distance/Time
• Given- 
• Speed= 80Km/hr and 50 Km/hr
• Calculation- 
• Let the distance be D Km.
• So, time is taken to cover the distance= D/80 hr.
• And, time is taken for return journey= D/50 hr.
• Total time taken = (D/80) + (D/50) = (8D+5D)/(400)= 13D/400
• Total distance= D+D= 2D
• Average speed= Total distance/ Total Time taken= 2D/(13D/400)= 800/13= 61.5384 ≈ 61.54 (Ans).

Given:

Side of a square is tripled

Concept Used:

Area of a square = (Side)²

Calculation:

⇒ Let assume that the side of the square is x and the area is A.

⇒ So, Area of Square, A = x²

⇒ According to the question, triple the side of a square

⇒ So, Side of Square = 3x

⇒ New Area of Square = 3x × 3x = 9x²

⇒ Ratio of resulting area to that of original area = $\frac{9x^2}{x^2}=9:1$

Therefore, the ratio of the area of the resulting square to that of the original square is 9 : 1

The correct answer is Mangal Pandey.

Key Points

• Mangal Pandey ignited the spark of freedom that led to the revolt of 1857.
• The major cause of the revolt was the fact that the cartridges of the new Enfield rifles were greased with the fat of cows and pigs.
• Before loading these rifles the sepoys had to bite off the paper on the cartridges. Both Hindu and Muslim sepoys refused to use them.
• Other reasons were British policies of heavy taxation, west-driven educational, social, and social reforms,
• The revolt started from Merrut and later spread across different parts of the country.

Additional Information

Given:

Number = 56789214

Concept used:

Place value = It is the value of each digit in a number. Like 3 in 234 has the place value of 3 tens or 30 or 3 x 10.

Calculation:

⇒ The number 5 is in the one crore's place in the number 56789214.

⇒ So, Place value of 5 = 5 x 10000000

⇒ Place value of 5 = 50000000 = 5 × 107

Therefore, the place value of 5 in the number 56789214 is 5 × 107

Given:

Profit earned by selling article for Rs. 2,400 = 20%

New selling price = Rs 2,600

Concept used:

Cost price = CP = $\frac{100}{100+Profit\%}×SP$

Profit % = $\frac{Profit}{CP}×100$

Calculation:

⇒ CP = $\frac{100}{100+Profit \%}×SP$

⇒ Cost price of article = $\frac{100}{100 + 20}× 2400=\frac{100}{120}\times 2400=2000$ Rs

⇒ New selling price = Rs 2600

⇒ Now, Profit = SP – CP

⇒ Profit = 2600 – 2000 = Rs. 600

⇒ Profit % = $\frac{Profit }{CP}× 100$

⇒ Profit % = $\frac{600}{2000}× 100$  = 30%

Therefore, if the same article were sold for Rs. 2,600, then the gain profit percentage would be 30%.

The logic followed here is:

Product of the L.H.S number ÷ 2 = R.H.S number

Now, for 56 : 15 

= (5 × 6) ÷ 2 = 30 ÷ 2 = 15.

for, 76 : 21

= (7 × 6) ÷ 2 = 42 ÷ 2 = 21.

Similarly, for 81 : ?

= (8 × 1) ÷ 2 = 8 ÷ 2 = 4.

So, 2 is the number that will be replace the question mark.

Hence, the correct answer is "Option 2".

The correct answer is Pandavani.

Key Points

• Teejan Bai is an exponent of Pandavani, a traditional performing art form, from Chhattisgarh.
• In this art form, the actors narrate tales from the Mahabharata, with musical accompaniments.
• In this story, Bhima, the second eldest son of Pandava is the hero.
• This art form is famous in the neighbouring areas of Madhya Pradesh, Orissa, and Andhra Pradesh as well.
• Jhaduram Devangan and Ritu Verma are also associated with this art form.

Additional Information

• Gondhal is a famous musical art form of Maharashtra. Lallati Bhandar is a hit Gondhal song from the movie Jogwa, sung by Ajay Gogavale.
• Lavani is a genre of music popular in Maharashtra. Some of the notable artists of this art form are Kantabai Satarkar, Surekha Punekar, Mangala Bansode, Sandhya Mane, etc.
• Bharud is a very old poetic form that was used by 16th-century poets like Eknath to compose devotional songs. It is one of the important folk arts of Maharashtra.

Given:

cot 35° = 2 - $\sqrt3$ 

Concept Used:

$tan(90-\theta)=cot\theta$

$cot(90-\theta)=tan\theta$

Calculation:

⇒ We have, cot 35° = 2 - $\sqrt3$

⇒ So, tan 35º = $\frac{1}{2-\sqrt3}$

⇒ Rationalizing it, we get

⇒ tan 35º = $\frac{1}{2-\sqrt3}\times \frac{2+\sqrt3}{2+\sqrt3}=\frac{2+\sqrt3}{4-3}=2+\sqrt3$

⇒ Now, tan 35° cot 55° + tan 55° cot 35° = tan 35º cot (90 – 35) + tan (90 – 35) cot 35º

⇒ tan 35º tan 35º + cot 35º cot 35º

⇒ tan² 35º + cot² 35º

⇒ Putting the values,

⇒ $(2+\sqrt3)^2+(2-\sqrt3)^2$

⇒ $4+3+4\sqrt3+4+3-4\sqrt3=7+7=14$

Therefore, the required value of tan 35° cot 55° + tan 55° cot 35° is 14

The correct answer is Lord Dufferin.

Key Points

• Lord Dufferin was the viceroy of India when the Indian National Congress was formed in 1885.
• Indian National Congress was a major event of the tenure of Viceroy Lord Dufferin.
• The tenure of Lord Dufferin was from 1884 to1888.
• The main aim of the Indian National Congress was to develop close relations between national workers, consolidation of national unity among all and dissolution of all religions, and nepotism.
• During Lord Dufferin's tenure, the following things took place-
• Bengal Tenancy Act 1885.
• Third Burmese War and annexation of Burma (1885).

Additional Information

• Lord Curzon served as Viceroy of India from 1899 to 1905.
• On the resignation of Lord Curzon, Lord Minto was appointed Viceroy and Governor-General of India from 1905 to 1910.
• Lord Ripon (1880-1884) was the Viceroy of India when the Ilbert bill was introduced in legislation.
• Lord Ripon was the son of Prime Minister F.J.Robinson(UK).
• Lord Irwin was the Viceroy of India from 1926-to 1931.
• Major Incidents took place in India under him:
• In 1928, Simon's commission came to India.
• The incidence of Dandi took in 1930.
• The Civil Disobedience movement was started in 1930.

The logic followed here is:

Option 1: TALEN has the word N in it but not R. So, it is not a combination of the letters of the word LATER.

Option 2: ATLER is a combination of the word LATER. 

Option 3: TALER is a combination of the word LATER. 

Option 4: LATER is a combination of the word LATER. 

So, from the given options, TALEN is the odd one among them.

Hence, the correct answer is "option 1".

The correct answer is 2014.

Key Points

• Deen Dayal Upadhyaya Grameen Kaushalya Yojana (DDU-GKY) was launched on 25 September 2014.
• DDU-GKY was launched by Union Ministers Nitin Gadkari and Venkaiah Naidu on the occasion of the 98th birth anniversary of Pandit Deendayal Upadhyaya.
• The Vision of DDU-GKY is to skill rural youth who are poor and provide them with jobs having regular monthly wages or above the minimum wages.
• DDU-GKY aims to target youth, in the age group of 15–35 years.
• DDU-GKY is one of the clusters of initiatives of the Ministry of Rural Development, Government of India.
• DDU-GKY is a part of the National Rural Livelihood Mission (NRLM)- the Mission for poverty reduction called Aajeevika.

The correct answer is India and Russia.

Key Points

• BrahMos is a joint venture between India's Defence Research and Development Organisation (DRDO) and NPO Mashinostroyenia of Russia.
• The name Brahmos is a portmanteau formed from the names of two rivers, the Brahmaputra of India and the Moskva (river) of Russia.
• Brahmos Missile is manufactured by The BrahMos Aerospace Private Limited, headquartered in New Delhi, India.
• The BrahMos is a medium-range ramjet supersonic cruise missile that can be launched from submarines, ships, aircraft, or land.
• It is notably one of the fastest supersonic cruise missiles.

Additional Information

• Important missiles in India

Given:

Difference between the interior and exterior angles of a polygon = 36º

Concept Used:

Number of sides in polygon = $\frac{360º }{Measure \ of \ Exterior\ angle}$

Calculation:

⇒ Let the interior angle be x and the exterior angle is y.

⇒ So, Sum of the Interior and Exterior angle is 180º.

⇒ x + y = 180º                     → (1)

⇒ According to the question,

⇒ x – y = 36º                        → (2)

⇒ Solving both the equations, we get

⇒ x = 108º and y = 72º.

⇒ Number of sides = $\frac{360}{72}=5$

Therefore, the number of sides in the polygon is 5

Given:

Ratio of angles = 4 : 9 : 11 : 1

Concept used:

Sum of all the angles of the quadrilateral = 360°

Calculation:

⇒ Let the angles of the quadrilateral be 4x, 9x, 11x and 12x.

⇒ Sum of all the angles of the quadrilateral = 360°

⇒ So, 4x + 9x + 11x + 12x = 360°

⇒ 36x = 360°

⇒ x = $\frac{360}{36}$ = 10°

⇒ Now, the largest of these angle is 12x.

⇒ Largest angle = 12x = 12 × 10° = 120°

Therefore, the largest angle of this quadrilateral is 120°.

Given:

Principal = Rs 6,000

Rate of Interest = 10%

Time = 2 years

Concept Used:

Compound Interest = $Principal\left(1+\frac{r}{100}\right)^t$ – Principal

Calculation:

⇒ Putting all the values in the formula,

⇒ Compound Interest = $6000\left(1+\frac{10}{100}\right)^2-6000$

⇒ Compound Interest = $6000\times \frac{110}{100}\times \frac{110}{100}-6000$

⇒ Compound Interest = $6000\times \frac{121}{100}-6000=60\times 121-6000=7260-6000=Rs\ 1260$ 

Therefore, the compound interest for the principal amount Rs 6,000 at the rate of 10% per annum for 2 years is Rs 1,260

The logic followed here is: Number × (Number - 1) in L.H.S : R.H.S

Now, for 7 : 42

7 × (7 - 1)

= 7 × 6 = 42,

for 9 : 72

9 × (9 - 1)

9 × 8 = 72,

Similarly, for 11

11 × (11 - 1)

11 × 10 = 110.

So, 11 is related to 110.

Hence, the correct answer is "110".

Given:

Increase in population every year = 10%

Present population = 1000

Required population = 1331

Concept Used:

Compound Interest = Principal$\left(1+\frac{r}{100}\right)^t$

Calculation:

⇒ Principal = 1000

⇒ Putting the values in the formula,

⇒ 1000$\left(1+\frac{10}{100}\right)^t=1331$

⇒ $\left(\frac{100+10}{100}\right)^t=\frac{1331}{1000}$

⇒ $\left(\frac{11}{10}\right)^t=\frac{1331}{1000}$

⇒ $\left(\frac{11}{10}\right)^t=\left(\frac{11}{10}\right)^3$

⇒ Equating the values, we get t = 3 years.

Therefore, the number of years in which population will become 1331 is 3 years.

Given:

$y = \frac{x}{(2 + a)^Z}$

Concept Used:

System of log on the base e

Calculation:

⇒ We have, $y = \frac{x}{(2 + a)^Z}$

⇒ $y\times (2+a)^z=x$

⇒ $(2+a)^z=\frac{x}{y}$

⇒ Taking log of both the sides,

⇒ z × log_e(2 + a) = log_e$\frac{x}{y}$

⇒ z = $\frac{log\frac{x}{y}}{log(2+a)}$

Therefore, the required value of z is $\frac{\log_e\left(\frac{x}{y}\right)}{\log_e(2 + a)}$.

The correct answer is greenhouse gas emissions.

Key Points

• Kyoto Protocol is an international agreement that aims to reduce greenhouse gas emissions.
• The Kyoto Protocol was adopted in Kyoto, Japan, on 11 December 1997 and entered into force on 16 February 2005.
• There are 84 signatories and 192 parties of the protocol.
• The Protocol is applied to seven greenhouse gases carbon dioxide (CO2), Methane (CH4), nitrous oxide (N2O), hydrofluorocarbons (HFCs), perfluorocarbons (PFCs), sulfur hexafluoride (SF6), Nitrogen trifluoride (NF3). Nitrogen trifluoride was added for the second compliance period during the Doha Round in 2012.

Additional Information

• Important international treaties related to science and the environment

The correct answer is Ringgit.

Key Points

• The Malaysian Ringgit is the currency of Malaysia.
• It is divided into 100 Sen, so that 100 Sen= 1 Ringgit (similar to 100 Paise= 1 Rupee).
• The ringgit is issued by the Central Bank of Malaysia.

Additional Information

Given:

Increase in price of tea = 20%

Concept Used:

Percentage Decrease = $(\frac{Increase }{ Increased \ Price})$ × 100

Calculation:

⇒ Let the original price of tea be Rs 100

⇒ Increased price of tea = 100 + 20% of 100

⇒ Increased price of tea = $100+\frac{20}{100}\times 100=100+20=Rs\ 120$ 

⇒ Increase in price = 120 – 100 = Rs 20

⇒ Percentage decrease in consumption of tea = $\frac{20}{120}\times 100=\frac{50}{3}=16\frac{2}{3}\%$

Therefore, the percentage should a household reduce its consumption of tea so that the budget remains the same is $16\frac{2}{3}\%$.

The correct answer is Greek.

Key Points

• The word comet has been taken from the Greek word kometes meaning "a head with long hair".
• Comets are cosmic snowballs of frozen gases, rock, and dust that orbit the Sun.
• The dust and gases form a tail that stretches away from the Sun for millions of miles.
• There are likely billions of comets orbiting our Sun in the Kuiper Belt.
• The Kuiper belt is a circumstellar disc in the outer Solar System, around the orbit of Neptune.

Additional Information

• Asteroid- A rocky object that orbits the sun and has an average size between a meteoroid and a planet.
• Meteoroid- A space rock which is relatively a small object travelling through space, between the size of a grain of dust and a small asteroid.
• Meteorite- A rock that falls to Earth from space. Meteorites can be rocks from other planets, asteroids, and possibly comets.
  
• Meteor- A meteoroid that enters Earth’s atmosphere and burns up.

The correct answer is computer hardware.

Key Points

• Computer hardware is the physical component that a computer system requires to function.
• Examples of computer hardware are circuit board (including the motherboard, graphics card), the cabinet enclosing the CPU (Central Processing Unit), ventilation fans, Keyboard, monitor, etc.

Additional Information

• Storage unit- It is a part of the computer system which is employed to store the information and instructions to be processed.
• Control unit- It is a component of a computer's central processing unit (CPU) that directs the operation of the processor. It also directs the flow of data between the CPU and the other devices.
• Computer software- It is a collection of instructions that tell a computer how to work.

The alphabets and their positions are:

The logic here is:For K

And for ROW

Similarly for NECK we have:

Thus, the code for the given word is 75.

Hence, the correct answer is 'option 1'.

Given:

Number = 53736

Concept Used:

Face Value and Place Value

Calculation:

⇒ In the given number 53736,

⇒ Face value of 7 = 7

⇒ Place value of 7 = 700

⇒ Sum of face and place value of 7 = 7 + 700 = 707

Therefore, the sum of the place value and face value of 7 is 707

Option 2 is correct.

Given that, B is A's son. B is my son's only paternal uncle. 

Now, B is my son's paternal uncle, that means B is my only brother. B is A's son means that A is our father.

Thus, Option 2 is correct.

The correct answer is M Fathima Beevi.

Key Points

• The first female judge of the Supreme Court of India was Fathima Beevi.
• She was appointed on 6 October 1989.
• So far, no woman has been appointed as the Chief Justice of India.
• As per seniority, B. V. Nagarathna is assumed to become the first female Chief Justice of India in 2027.
• Leila Seth was an Indian judge who served as the first woman judge on the Delhi High Court and later, she became the first woman Chief Justice of a state High Court, Himachal Pradesh High Court, on 5 August 1991.
• Recently on 24th January 2022, Ayesha A. Malik took the oath to become the first female judge of the Supreme Court of Pakistan.

Additional Information

• R Banumathi is the 6th female Judge in the Supreme Court of India.
• Sujatha V Manohar is the 2nd female Judge in the Supreme Court of India.
• Indira Banerjee is the 8th female Judge in the Supreme Court of India.

The correct answer is 1916.

Key Points

• The Banaras Hindu University was founded by Pandit Madan Mohan Malviya, in 1916.
• The university was formerly called Central Hindu College, which was founded by Annie Besant in 1898.
• She later gifted the Central Hindu College to Pandit Madan Mohan Malviya to get it converted into Banaras Hindu University.
• Banaras Hindu University was created under the Parliamentary legislation - B.H.U. Act 1915.

Additional Information

• Madan Mohan Malaviya was an Indian scholar, educational reformer, and politician.
• He has been the president of the Indian National Congress four times.
• He is remembered for his role in the Indian independence movement.
• He is the founder of Akhil Bharatiya Hindu Mahasabha.

Given:

sin(x – y) = $\frac{1}{2}$

cos(x + y) = $\frac{1}{2}$

Concept Used:

Basic Trigonometry Calculation

Calculation:

⇒ We have, sin(x – y) = $\frac{1}{2}$

⇒ We know that, sin 30º = $\frac{1}{2}$

⇒ So, sin(x – y) = sin 30º

⇒ Equating both, we get

⇒ x – y = 30                      → (1)

⇒ Same way for cos(x + y) = $\frac{1}{2}$

⇒ cos 60º = $\frac{1}{2}$

⇒ So, cos(x + y) = cos 60º

⇒ Equating both, we get

⇒ x + y = 60                       → (2)

⇒ Solving equations (1) and (2), we get

⇒ x = 45º and y = 15º

Therefore, the required value of x is 45º.

Given:

Cost price = Rs 950

Selling price = Rs 1,140

Concept Used:

Gain Percentage = $\frac{Gain}{CP}\times 100$

Calculation:

⇒ Gain = Selling Price – Cost Price

⇒ Gain = 1140 – 950 = Rs 190

⇒ So, Gain percentage = $\frac{190}{950}\times 100=20\%$

Therefore, the gain percentage is 20%.

The correct answer is Article 14-18.

Key Points

• The Right to Equality is one of the six fundamental rights of the Constitution.
• It is contained in the Indian Constitution from Article 14 to 18.
• Following are the provisions under the Right to Equality- 
• Article 14- equality before the law as well as equal protection of the law to all people.
• Article 15- prohibits discrimination on the grounds of religion, race, caste, sex, place of birth, and also gender or any of them.
• Article 16-  guarantees equality of opportunity in matters of public employment.
• Article 17- Abolition of untouchability.
• Article 18- Abolition of all titles except military and academic

The correct answer is curie.

Key Points

• Curie (Ci) is a unit for measuring radiation emitted by radioactive material. It is used in the US system of units.
• The System International of units (SI system) uses the unit of becquerel (Bq) as its unit of radioactivity.
• One Curie is 37 billion Bq.

Additional Information

• Watt- It is the SI unit of power.
• Ampere- It is the SI unit of electric current.
• Pascal- It is the SI unit of pressure.

The correct answer is 1950.

Key Points

• The Planning Commission was an institution in the Government of India formed in 1950.
• Its primary function was the formulation of India's Five-Year Plans.
• The commission comprises the Prime Minister as the ex officio Chairman and a Deputy Chairman, with the rank of a full Cabinet Minister.
• Cabinet Ministers with certain important portfolios acted as ex-officio members of the Commission.
• The full-time members were experts in various fields like economics, industry, science, and general administration.
• The Planning Commission was dissolved in 2014.
• The Government of India constituted NITI Aayog on 1 January 2015 to replace the Planning Commission.

Given:

Radius of circle is reduced by 25%

Concept Used:

Area of Circle = $\pi\times r^2$

Calculation:

⇒ Let the radius of circle be x cm.

⇒ Area of circle = $\pi\times x^2=\pi x^2$ cm²

⇒ Reduction in the radius = 25%

⇒ Radius after reduction = $x-\frac{25}{100}\times x=x-\frac{x}{4}$

⇒ Radius after reduction = $\frac{4x-x}{4}=\frac{3x}{4}$

⇒ Area of circle = $\pi \times \frac{3x}{4}\times \frac{3x}{4}=\frac{\pi 9x^2}{16}$

⇒ Reduction in Area of Circle = $\pi x^2-\frac{\pi 9x^2}{16}=\frac{16\pi x^2-9\pi x^2}{16}=\frac{7\pi x^2}{16}$

⇒ Percentage decrease in area of circle = $\frac{\frac{7\pi x^2}{16}}{\pi x^2}\times 100=\frac{7}{16}\times 100$

⇒ Percentage decrease in area of circle = $\frac{700}{16}=43.75\%$

Therefore, the area of circle is reduced by 43.75%.

Given:

Dividend = 124, 307 and 243

Remainders = 4, 7 and 3

Concept Used:

Prime Factorization

Calculation:

⇒ On division, 124, 307 and 243 leaves remainders 4, 7 and 3 respectively.

⇒ Subtracting the remainder from the numbers, we get

124 – 4 = 120,

307 – 7 = 300,

243 – 3 = 240

⇒ Now, required greatest number is the HCF of 120, 300 and 240.

⇒ Factoring the numbers, we get

⇒ 120 = 2 × 2 × 2 × 3 × 5

⇒ 300 = 2 × 2 × 3 × 5 × 5

⇒ 240 = 2 × 2 × 2 × 2 × 3 × 5

⇒ HCF = 2 × 2 × 3 × 5 = 60

Therefore, the greatest number that divides 124, 307 and 243, leaving remainders 4, 7 and 3 is 60.

Given:

Sum of two numbers = 30

Product of two numbers = 50

Calculation:

⇒ Let the two numbers be x and y.

⇒ According to the question,

⇒ x + y = 30 and xy = 50

⇒ Sum of the reciprocals of numbers = $\frac{1}{x}+\frac{1}{y}$

⇒ Sum of reciprocals of numbers = $\frac{y+x}{xy}$

⇒ Putting the values, we get

⇒ Sum of reciprocals of numbers = $\frac{30}{50}=\frac{3}{5}$

Therefore, the sum of the reciprocals of two numbers is $\frac{3}{5}$.

The correct answer is Erasable Programmable Read-Only Memory.

Key Points

• ​EPROM (Erasable Programmable Read-Only Memory) is a form of computer memory.
• It does not lose its content when the power supply is cut off and that can be erased and reused.
• EPROMs are generally employed for programs designed for repeated use but that can be upgraded with a later version of a program.
• EPROMs are erased with ultraviolet light.

Additional Information

• The EPROMs have been upgraded with extended capability as an EEPROM (Electrically Erasable Programmable Read-Only Memory).
• Flash memory, which is extensively used in computers is an EEPROM.

Option 1 is correct.

Statement I says that P and Q are brothers and statement II says that Q's wife is the sister of M's wife.

Both statements are not sufficient to answer the given question as the only information given about M is that M has a wife who is the sister of Q's wife, an information which has no relation in analyzing the identity of M's father. 

Thus, Option 1 is correct.

Given:

Numbers = a and b

LCM = c

Concept Used:

LCM × HCF = Product of two numbers

Calculation:

⇒ According to the formula,

⇒ c × HCF = a × b

⇒ HCF = $\frac{ab}{c}$

Therefore, the HCF for the given numbers is $\frac{ab}{c}$.

Given:

$\frac{\sqrt{2401}}{x} = \frac{x}{6.25}$

Calculation:

⇒ We have, $\frac{\sqrt{2401}}{x} = \frac{x}{6.25}$

⇒ $x\times x=6.25\times \sqrt{2401}$

⇒ $x^2=6.25\times \sqrt{7\times 7\times 7\times 7}$

⇒ $x^2=6.25\times 7\times 7=306.25$

⇒ $x=\sqrt{306.25}=17.5$

Therefore, the required value of x is 17.5

The correct answer is Cellulose.​

Key Points

• Humans cannot digest cellulose.​
• It is because they lack the enzymes essential for breaking the beta-acetyl linkages in cellulose.
• The undigested cellulose acts as fiber that binds together waste in our digestive tracts.
• However, animals like cows and buffaloes can digest cellulose because of the presence of anaerobic symbiotic bacteria in their digestive tracts.
• Humans can digest Glycogen, Amino Acids, and Starch.

The correct answer is nucleus and cell membrane.

Key Points

• The cytoplasm is the gel-like fluid present between the nucleus and cell membrane inside the cell. It is the medium for chemical reactions.
• All of the organelles in eukaryotic cells, such as the nucleus, endoplasmic reticulum, and mitochondria, are located in the cytoplasm.
• The portion of the cytoplasm that is not contained in the organelles is called the cytosol.

Given:

4sin2θ + 5cos2θ

Concept Used:

$sin^2\theta+cos^2\theta=1$

Calculation:

⇒ We have, 4sin2θ + 5cos2θ

⇒ We can write, $sin^2\theta=1-cos^2\theta$

⇒ Putting the values in the equation,

⇒ $4(1-cos^2\theta)+5cos^2\theta$

⇒ $4-4cos^2\theta+5cos^2\theta=4+cos^2\theta$

⇒ For the minimum value, $cos^2\theta=0$

⇒ $4+cos^2\theta=4$

Therefore, the minimum value of 4sin2θ + 5cos2θ is 4

Given:

First 15 natural numbers

Concept Used:

Sum of n terms = $\frac{n(n+1)}{2}$

Arithmetic Mean = Total Sum ÷ Number of values

Calculation:

⇒ We have, n = 15

⇒ Sum of n terms = $\frac{15(15+1)}{2}=\frac{15\times 16}{2}=120$

⇒ Total number of values = 15

⇒ Arithmetic Mean of first 15 natural numbers = $\frac{120}{15}=8$

Hence, the arithmetic mean of first 15 natural numbers is 8

The correct answer is amino acids.

Key Points

• When protein reaches our stomach, hydrochloric acid and enzymes called proteases (also called a peptidase or proteinase) break it down into smaller chains of amino acids.
• From our stomach, these smaller chains of amino acids move into the small intestine.
• As this happens, the pancreas releases enzymes and a bicarbonate buffer that reduces the acidity of digested food.
• This reduction allows more enzymes to work on further breaking down amino acid chains into individual amino acids.

Additional Information

• Carbohydrates - It is digested by amylase, converted into glucose, and is finally converted into glycogen for storage.
• Starch - It is a special type of carbohydrate and is digested in a similar manner.
• Small globules - It is basically a small drop or ball of a liquid floating in a medium.
• A protease (also called a peptidase or proteinase) is an enzyme that catalyzes (increases reaction rate or "speeds up") proteolysis, breaking down proteins into smaller polypeptides or single amino acids, and spurring the formation of new protein products.

The correct answer is Entertainment.

Key Points

• Infrastructure refers to the basic or fundamental systems, services, and facilities that are necessary for a country or an organization.
• These basic facilities include buildings, transport, water and power supplies, sewage, etc.
• Infrastructure does not include entertainment like cinema, circus, and music or art shows.

According to the given information:

Given expression: 9C5B10A5C12

After replacing the symbols: 9 × 5 + 10 - 5 × 12

Now, by BODMAS Rule:

9 × 5 + 10 - 5 × 12

= 45 + 10 - 60

= 55 - 60

= - 5.

Hence, the correct answer is "- 5".

The correct answer is Chlorofluorocarbons.

Key Points

• Chlorofluorocarbons are a major cause of the depletion of the ozone layer.
• These halocarbons are used as refrigerants, solvents, propellants, and foam-blowing agents.
• The molecules of chlorofluorocarbons in the stratosphere are broken down by ultraviolet radiations and release chlorine atoms. These atoms react with ozone and destroy it.

Additional Information

• The Ozone layer reduces harmful UV radiation reaching the Earth's surface.
• The Ozone layer is present in Earth’s atmosphere (15 - 35 km above Earth) in the lower portion of the stratosphere and has relatively high concentrations of ozone (O3).
• Ozone layer depletion is the gradual thinning of the earth’s ozone layer present in the upper atmosphere.
• World Ozone Day is observed on September 16 every year to spread awareness among people about the depletion of the Ozone Layer.

The correct answer is Rangaswamy Cup.

Key Points

• The Rangaswamy Cup is associated with hockey.
• The Rangaswami Cup was first held in 1928 as an Inter-Provincial Tournament to select players for the national team for the Olympics.

Additional Information

Given: Russia is my country

Now,

Option 1) 'Your' - Can be formed (country - All letters are present)

Option 2) 'Cloud' - Can be formed (Russia is my country - L and D is not present)

Option 3) 'Rain' - Can be formed (Russia is my country - All letters are present)

Option 4) 'Minor' - Can be formed (Russia is my country - All letters are present)

So, Cloud can not be formed from the given word.

Hence, the correct answer is "Cloud".

The correct answer is Germany, 1907.

Key Points

• Bhikhaiji Cama popularly called Madam Cama was a prominent figure in the Indian independence movement.
• The Indian National Flag (tricolor) was unfurled by Bhikhaiji Cama on 22 August 1907, at the International Socialist Conference in Stuttgart, Germany.
• The flag was referred to as the "Flag of Indian Independence".
• It was co-designed by Cama and Vinayak Damodar Savarkar and it later served as one of the templates from which the current national flag of India was created.

Additional Information

• In India, the first flag was hoisted on August 7, 1906, in the Parsee Bagan Square (Green Park) in Calcutta now Kolkata.
• At that time, the flag flaunted only three horizontal stripes of red, yellow, and green, with Vande Mataram written in the middle.