NTPC CBT-II 2016 Official Paper (Held On: 19 Jan, 2017 Shift 2) (Previous Year Paper)

Given series: ​BDCA, FHGE, JLKI,?

The logic followed here is:

Hence, "NPOM" is the answer.

The pattern followed here is:

Similarly,

Hence, the answer is "NMRAEEPNT"

The logic follows here is :-

Clock is a device that measures time.

Similarly,

Thermometer is a device that measures Temperature.

Thus, the correct answer is "Time".

The correct answer Sundarbans.

Key Points

• The World's largest area of mangrove forests is Sunderbans.
• The Sundarbans is a UNESCO World Heritage Site and located at the Southeastern tip of the 24 Paraganas district about 110 km from Kolkata.
• Sunderbans got its name from one of the mangrove plants known as Sundari (Heritiera Minor).
• Sundarbans are a part of the world's largest delta, formed by the mighty rivers Ganga, Brahmaputra, and Meghna.
• It is situated on the lower end of Gangetic West Bengal, the Sundarbans is crisscrossed by hundreds of creeks and tributaries.
• The Sundarbans is the largest single block of tidal, halophytic mangrove forests in the world.

Additional Information

• The present Chief Minister of Bengal is Mamata Banerjee and the Governor is Dr. C.V. Ananda Bose.
• Namdapha National Park is a large protected area in Arunachal Pradesh, Noa-Dihing River flows through this National Park.

Given:

The numbers are 4, 6, 9, 12 and 14

Concept used:

The least number which when doubled becomes exactly divisible by numbers will be half of the L.C.M

Calculation:

L.C.M by prime factorization of Numbers

4 = 2 × 2

6 = 2 × 3

9 = 3 × 3

12 = 2 × 2 × 3

14 = 2 × 7

Combine them, using the maximum number of occurence of each factor

L.C.M = 2 × 2 × 3 × 3 × 7

⇒ L.C.M = 252

Now, Half of the L.C.M = 252/2 = 126

∴ The least number which when doubled, will be exactly divisible by 4, 6, 9, 12 and 14 is 126

We have to find the shortest person,

According to the statements:-

I. P is taller than T but shorter than S → (P > T, but P < S)

II. Q is shorter than R but taller than T → (Q < R, but Q > T)

III. S is taller than R and P is taller than Q → (S > R, but P > Q)

On combining statement I and II:-

(S > P > T < Q < R)

On combining statement II and III:-

(S > R > Q > T < P )

Hence, From statements the order follows is :-

S > R > P > Q > T

Thus, the correct answer is "Statement II and either I or III are sufficient".

The correct answer is Thiruvananthapuram.

Key Points

• The International Tourist Bureau facility of Indian Railways is not available at Thiruvananthapuram.
• The International Tourist Bureau facility of Indian Railways is available in 11 cities across India namely Kolkata, Chennai, Mumbai, AGRA-CANTT, Jaipur, Delhi, Jodhpur, Bangalore, Varanasi, Secunderabad, and Ahmedabad.
• New Delhi & Varanasi offices are known as International Tourist Bureau.
• International Tourist Bureau at New Delhi has started functioning round the clock.
• These provide assistance to foreign tourists and NRIs regarding inquiries, booking, reservation, and travel planning, etc.

Additional Information

• The present Union Minister of Railways is Ashwani Vaishnav.

The correct answer is Tejas.

Important Points

• Tejas is the name of an Indian Light Combat Aircraft.
• Tejas-Indian Light Combat Aircraft (LCA), is the smallest and lightest Multi-Role Supersonic Fighter Aircraft of its class.
• This single-engine, Compound-Delta-Wing, Tailless Aircraft Tejas is designed and developed by ADA with HAL as the principal partner along with DRDO, CSIR, BEL, DGAQA, and IAF to meet the diverse needs of the Indian Air Force (IAF).
• The light combat aircraft was named 'Tejas', which means 'radiance', by former prime minister Atal Bihari Vajpayee.
• Tejas incorporates a distinctive 'glass cockpit' in which information is displayed real-time to the pilot.
• The current Air Chief Marshal of IAF is **VR CHAUDHARI.**​

Additional Information

• Sukhoi Su-30 is a two-seater, twin-engine fighter aircraft developed by Russia's Sukhoi Aviation Corporation in the Soviet Union.
• The Indian Air Force has nearly 360 SU 30 fighter aircraft.
• Rudra is the Weaponised version of the Advanced Light Helicopter (Dhruv) designed and developed by Hindustan Aeronautics Limited (HAL) to meet the requirements of the Indian Army & Air Force.
• The indigenously designed and developed Advanced Light Helicopter (ALH-DHRUV) is a twin-engine, multi-role, multi-mission new generation helicopter in the 5.5-ton weight class.

The correct answer is mining.

Key Points

• Data mining is the process of examining large, pre-existing databases in order to generate new useful information.
• The application of data mining could be seen in multiple fields, like science and research.
• Data mining is also known as Knowledge Discovery in Data (KDD).
• A few examples of top data mining software companies are Sisense, Oracle Data Mining, IBM Cognos.
• Data mining tools predict behaviors and future trends, allowing businesses to make proactive, knowledge-driven decisions.

Additional Information

• The generation of random numbers from a random process that is described by a series of distributional statements is referred to as the simulation of data.
• A data processing technique that merges the data from multiple different data sources into a single data store is known as data integration.
• A technique that is used in order to remove the noisy data and correct the instability in data is called data cleaning.

The correct answer is 18 × 16 ÷ 12 - 11 + 13.

Important Points

• To solve this question we will be applying the BODMAS rule according to which we should calculate in the order Bracket, Order, Division, Multiplication, Addition, and Subtraction.
• In option number one, first, solve 16÷12, we get 1.33.
• Now, multiply 1.33 by 18, we get 24.
• Now, solve -11+13, we get 2.
• Now, add 24+2, we get 26 which is the required answer.
• The steps of the question are:
• Step 1: 18×1.33 - 11 + 13
• Step 2:  24 - 11 + 13
• Step 3: 24+2 = 26

Given:

Initial Time = 8 hours

Speed = 50 kmph

Formula used:

Distance = Time × Speed

Calculation:

Distance = (8 × 50) km 

⇒ 400 km

Now, if distance to be covered in 5 hours

Then, New Speed = 400/5 kmph

⇒ 80 km/hr

Increase in speed = New Speed - Original speed

⇒ (80 - 50) kmph 

⇒ 30 kmph

∴ The increase in speed is 30 kmph

Given:

Speed of bus X = 20 kmph

Speed of bus Y = 50 kmph

Bus Y leaves 6 hours after bus X has left

Concept used:

Time = Distance/Speed

Time taken to meet is always equal

Calculation:

Distance travelled by bus X in 6 hours = 20 × 6 = 120 km

Now, bus X will travel some kms ahead of 120 km before both the buses meet

so, Let distance travelled more by bus X before they meet be x km 

so, Distance travelled by bus Y before they meet = (120 + x) km

Time taken to meet by bus X = x/20 hr      ----(i)

Time taken to meet by bus Y = (120 + x)/50 hr      ----(ii)

As we know that, time taken to meet is always equal

So, x/20 = (120 + x)/50

⇒ 5x = 2x + 240

⇒ 3x = 240

∴ x = 80 km

Total distance travelled from starting before they meet = (120 + 80) km

⇒ 200 km

∴ The buses will meet 200 km far from the starting

The correct option is (iii).

Important Points

• The most profitable in percentage terms is (iii) Rs. 8.
• According to the question, the article was sold at Rs. 2 above the purchase price. Therefore, the lower the price of the article, the higher would be the percentage of profit.
• Rs.2 is 18.18% of Rs. 11, Rs.2 is 20% of Rs. 10, Rs.2 is 22.22% of Rs. 9, and Rs.2 is 25% of Rs.8.
• Hence, the highest profit in terms of percentage comes with Rs.8 i.e. 25%.

The correct answer is scattering.

Additional Information

• The Tyndall effect is related to the scattering of light.
• The Tyndall effect is the phenomenon of scattering of light by particles in a colloid solution or in a very fine suspension.
• The amount of scattering depends on the frequency of the light and the density of the particles.
• The scattered light is inversely proportional to the fourth power of the wavelength, so blue light is scattered much more strongly than red light.
• The Tyndall effect can be observed when sunlight passes through the canopy of a dense forest.
• In the forest, mist contains tiny droplets of water, which act as particles of colloid dispersed in the air.

​

• When white light is passed through a prism, the white light is separated into its component colors - red, yellow, green, orange, blue, and violet this phenomenon is known as the dispersion of light.
• Between two different media, the change in direction of a wave at a boundary is known as the reflection of light.
• A change in the direction of light when it enters a medium with a different density from the one through which it has been traveling is known as the refraction of light.

Given:

L.C.M of two numbers = 48

Ratio of numbers = 1 : 2/3

Concept used:

L.C.M of fractional numbers is always L.C.M of the numerator and H.C.F of the denominator

Calculation:

Let the two numbers be x and 2x/3

L.C.M of x and 2x/3 = 2x

And, L.C.M given = 48

So, 2x = 48

⇒ x = 24

& 2x/3 = (2 × 24/3) = 16

First number = 24

Second number = 16

Sum of numbers = (24 + 16) = 40

∴ The sum of numbers is 40

Solution:

Given:

Combined sale in 2011 and 2013 in division W = 130 + 86 = 216

Combined sale in 2011 and 2013 in division X = 134 + 112 = 246

Combined sale in 2011 and 2013 in division Y = 114 + 76 = 190

Combined sale in 2011 and 2013 in division Z = 108 + 80 = 188

Now, we can clearly observe the above and from this in division Z is show the lowest combined sale in 2011 and 2013.

∴ Division Z shows the lowest combined sale in 2011 and 2013.

Solution:

Given:

Total sales in 2011 from division W = 130

Total sales in 2011 from division X = 134

Total sales in 2011 from division Y = 114

Total sales in 2011 from division Z = 108

So, we can see that division X is showing better performance among them.

∴ In 2011 division X will be performed better than W, Y and Z

Solution:

Given:

Total item sold by division Y in 2012 = 164

Total item sold by division Y in 2013 = 76

Total item sold by division Z in 2012 = 96

Total item sold by division Z in 2013 = 80

Total sum of item which is sold by division Y in 2012 and 2013 = 164 + 76 = 240

Total sum of item which is sold by division Z in 2012 and 2013 = 96 + 80 = 176

According to question ratio between total item sold by division Y and Z in 2012 and 2013 is = 240/176 = 15/11

∴ The required ratio will be 15 : 11.

Solution:

Concept:

Average = (Total sum of result)/(Total number of result)

Given:

Total sale by division W in 2010 = 100

Total sale by division W in 2011 = 130

Total sale by division W in 2012 = 140

Total sale by division W in 2013 = 86

Total sum of sales in all the given years by division W = 100 + 130 + 140 + 86 = 456

Total number of year is = 4

Then average sales of division W in all the given years = 456/4 = 114

∴ Average sale of W in all the given years is 114.

The correct answer is Brother.

Important Points

• Arun is the brother of Sonali.
• According to the question, it is given that Sarda is the wife of Arjun and Arun is the son of Sarda.
• According to the question, it is given that Sonali is the daughter of Arjun. So, Sonali is also the daughter of Sarda.
• Hence, Arun is the brother of Sonali.

Solution:

Given:

Time = 5 years in both case

Interest = I

Amount = P  in both case (Let be assume)

Rate = R (Before increment of rate)

Rate = R + 2 (After increment of rate)

Difference between Interest = 300

Formula Used:

Interest = (Principle × Rate × Time)/100

Calculation:

Interest = (P ×  R × T)/100

In first condition Interest I₁ = (P × R × 5)/100 = (PR)/20

In second condition Interest I₂ = [P × (R + 2) × 5]/100 = (5PR + 10P)/100 = (PR + 2P)/20

Now, I₂ - I₁ = 300

When we will solve this then we get P = 3000

∴ The amount is invested 3000.

The logic follows here is :-

Author writes Books.

Similarly,

Director directs the Movies.

Thus, the correct answer is "Director".

Solution:

Given:

P is 4 times efficient than Q it means

Let be assume Q can complete the work in = A days

P will complete the work in = A/4 days

Q takes 27 days more than P take.

⇒  A/2 + 27 = A  

⇒  A = 36 Days

 ⇒ A/4 = 9 Days

Q can work in = 36 Days

P can work in = 9 Days.

Concept:

Work = Efficiency × Days

Calculation:

Q's one day work is = 1/36

P's one day work is = 1/9

Both can complete the work in days 

⇒ (1/36) + (1/9) = 5/36

So, they can complete the work in 36/5 Days or 7 + (1/5) days.

∴ Both can complete the work in 7 + (1/5) Days.

Solution:

Given:

Diagonal of the square = 12/2 = 6 cm

Concept:

Diagonal of the square = √2 × Side of the Square

Area of square = (Side of the Square)²

Calculation:

⇒ Diagonal of square = √2 × Side of the Square

⇒ Side of square = Diagonal of square/√2

⇒ Side of square = 6/√2

⇒ Area of square = (Side of the Square)2

⇒ Area of square = (6/√2)² = 36/2 = 18 cm

∴ Area of the square is 18 cm.

The correct answer is Michael Bevan.

Important Points

• Among the following Michael Bevan is not an international golfer.
• Michael Bevan is a former Australian cricketer.
• Michael was a left-handed batsman and a spin bowler.
• Michael has played 232 ODIs and he was a scholarship holder at the Australian Cricket Academy in 1989.

Key Points

• Shiv Chawrasia is an Indian international golfer, Shiv has won six Asian Tour events.
• He was awarded the Arjuna award for Golf in the year 2017.
• Jason Day is an Australian golfer, he was a former World Number 1 in the World Golf Ranking.
• He won the PGA Championship in 2015.
• Anirban Lahiri is an Indian international golfer, Anirban currently plays on the PGA Tour and Asian Tour.

Given: 

Cost price = 35% of Selling price

Cost price = 0.35 × Selling price

Concept:

Profit gained = (Selling price - Cost price)/Cost price

Calculation:

Profit gained = (Selling price - 0.35 × Selling price)/(0.35 × Selling price) 

⇒ Profit gained = 0.65/0.35

⇒ Profit percentage = 0.65/0.35 × 100

⇒ Profit percentage = 185.71%

∴ Profit margin in percentage is 185.71%.

The correct answer is Ownership.

Key Points

• Ownership is the criteria for the classification of the Public or Private sector.
• In public sector enterprises, all the functions are under the direct control of the government.
• In private sector enterprises, the functioning and segment of the economy are owned by organizations and individuals trying to generate profit.
• In India, the Department of Public Enterprises is the nodal department for all the Central Public Sector Enterprises (CPSEs) and formulates policy pertaining to CPSEs.

Additional Information

• Department of Public Enterprises is headed by the Secretary to the Government of India who is assisted by an establishment with an overall sanctioned strength of 122 officers/personnel.
• The present Minister of Heavy Industries and Public Enterprises is Prakash Javadekar.

The correct answer is both AIR and Doordarshan.

Important Points

• Prasar Bharati is an autonomous body that comprises both All India Radio (AIR) and Doordarshan.
• Prasar Bharati is the Public Service Broadcaster of the country.
• It is a statutory autonomous body established under the Prasar Bharati Act and came into existence in 1997.
• The present CEO of Prasad Bharti is Shashi Shekhar Vempati, Prasad Bharti is headquartered in New Delhi.
• The present Minister of Information and Broadcasting is Anurag Singh Thakur.

Additional Information

• All India Radio is India’s Public Service Radio Broadcaster and the Radio vertical of Prasar Bharati.
• Serving its mandate to inform, educate, and entertain its listeners.
• Doordarshan is India's Public Service Television Network and the television vertical of Prasar Bharati.
• It is one of the largest broadcasting organizations in the world in terms of studios and transmitters.

The correct answer is Affordable medical care.

Key Points

• Affordable medical care describes ObamaCare.
• The Patient Protection and Affordable Care Act, commonly known as ObamaCare is a law approved to ensure that all Americans have access to affordable health insurance.
• The Patient Protection and Affordable Care Act was approved by the 111th United States Congress and signed into law by President Barack Obama.
• The act was passed in the year 2010. After the law came into effect, overall healthcare spending slowed, and a decrease in premiums for employer-based insurance plans has been observed.

Additional Information

• Joe Biden was elected as the 46th President of the United States of America in November 2020.
• In the year 1789, George Washington was the First President of the United States of America.

Given:

Speed of car P = 66 km/h

Time the car P takes to cover a distance = 11 hours

Distance covered by Car Q = 242 km more than Car P at the same time

Concept:

Speed = Distance traveled/Time taken

Calculation:

Distance traveled by car P in 11 hours = 66 × 11

⇒ Distance traveled by car P = 726 Km

Then, distance traveled by Q = 242 + 726 

⇒ Distance traveled by Q = 968 km

The average speed of car Q = Distance traveled/ Time taken

⇒ The average speed of car Q = 968/11

⇒ The average speed of car Q = 88 km/hr

∴ The average speed of car Q is 88 km/hr.

The correct answer is Satellite.

Key Points

• 'YouthSat' refers to a satellite.
• Youthsat was launched in the year 2011.
• YOUTHSAT is a joint Indo-Russian stellar and atmospheric satellite mission with the participation of students from Universities at graduate, postgraduate, and research scholar level.
• With a lift-off mass of 92 kg, Youthsat is a mini satellite and the second in the Indian Mini Satellite (IMS) series.
• Youthsat mission intends to investigate the relationship between solar variability and thermosphere-Ionosphere changes.
• The satellite carries three payloads, of which two are Indian and one Russian.

Additional Information

• The two Indian payloads used in Youthsat are:
• 1. RaBIT (Radio Beacon for Ionospheric Tomography)
• 2. LiVHySI (Limb Viewing Hyper Spectral Imager)
• The Russian payload is SOLRAD - To study temporal and spectral parameters of solar flare X and gamma-ray.

The correct answer is A.R. Rahman.

Key Points

• A.R. Rahman was awarded Japan's 'Fukuoka prize-2016' for outstanding contribution towards South Asian traditional fusion music.
• A.R. Rahman is an Indian music composer and producer, he mostly works in Tamil and Hindi movies. Indian Government awarded him with the Padma Bhushan in the year 2010.
• Fukuoka Prize was started in the year 1990 to honor the outstanding work of individuals or organizations in creating Asian culture.
• The award was started by the city of Fukuoka and the Fukuoka City International Foundation.
• Indian folk artist from Chhattisgarh Teejan Bai was awarded the Fukuoka Prize in 2018.

Additional Information

• Yasmeen Lari is an architect from Pakistan, she was the first female architect of Pakistan.
• Shankar Mahadevan is an Indian music composer and singer. He was awarded the Padma Shri by the Indian Government in 2019.

Given:

The given distribution is,

130, 90, 25, 77, 250, 100

Concept used:

Mean of the given distribution = sum of distribution/ number of terms

Calculation:

Sum of the distribution = 130 + 90 + 25 + 77 + 250 + 100

⇒ Sum = 672

Number of terms = 6

⇒Then, mean of the distribution = 672/6 

⇒ Mean = 112

∴ Mean of the distribution is 112.

The logic follows here is :-

Assertion (A) → True (Rural India has lot of plants so that there will be less or no pollution and there will be no fast food culture. There will be fresh water resources and there will be less CO2 and compare to Urban in Rural there will be more oxygen so there will be less health issues in Rural India compare to Urban India).

Reason (R) → True (Urban life is facing the problems of increasing pollution levels, unhygienic garbage dumping, and a fast food culture).

Hence, "Both A and R are true and R is the correct explanation of A".

Thus, the correct answer is "Both A and R are true and R is the correct explanation of A".

Calculation:

Cross-multiplying we get,

⇒ 7× (a + 4) = 5 × (a – 2)

⇒ 7 × a + 7 × 4 = 5 × a – 5 × 2

⇒ 2 × a = -10 – 28

⇒ a = -38/2

⇒ a = -19

∴ The value of a is (-19).

The statement given here is :-

Eating nutritious food will keep a person healthy so there will be no health issues so that it will keep doctor away.

I. Doctors will be out of job soon → False (There is no definite relation that eating nutritious food keeps doctor away but there is no information that doctors will be out of job soon).

II. Nutritious food does not keep doctor away → False (It is clear that from statement eating nutritious food keeps doctor away but from this conclusion eating Nutritious food does not keep doctor away).

Hence, Both conclusions are 1,2 are Complimentary pairs.

Thus, the correct answer is Neither I nor II follows.

The logic follows here is :-

From the given series the logic follows here to find missing term is:

4 × 1 = 4

5 × 1 = 5

4 × 2 = 8

5 × 2 = 10

4 × 3 = 12

5 × 3 = 15

4 × 4 =16

5 × 4 = 20

Similarly,

4 × 5 = 20

5 × 5 = 25.

Thus, the correct answer is "20".

Given:

The fourth proportion to be found for 15, 12, and 20.

Concept used:

When four numbers a, b, c, and d are in the following relation, a ∶ b = c ∶ d 

Then, the fourth proportion of a, b and c is d.

Fourth proportion, d = (b × c)/a

Calculation:

Here, a = 15

b = 12 

and, c = 20

Thus, fourth proportion, d = (12 × 20)/15

\Fourth proportion, d = 16

∴ The fourth proportion to 15, 12 and 20 is 16.

The correct answer is Bishweshwar Nandi.

Important Points

• The Government conferred Dronacharya Award 2016 for Gymnastics to Bishweshwar Nandi.
• Bishweshwar Nandi is an Indian gymnastics coach from Tripura, he was the coach of Indian gymnast Dipa Karmakar who won a bronze medal at the 2014 Commonwealth Games in Glasgow.
• Dipa has also represented India in the 2018 summer Olympics 2016.
• Dronacharya Award is an award for brilliant coaches in sports and games, the award is named after "Guru Drona", a character from the Sanskrit epic Mahabharata.
• The award was started in the year 1985.
• In the year 2016, the Dronacharya award was given to 6 coaches including the  India Test team captain Virat Kohli's mentor Raj Kumar Sharma (Cricket), PV Sindhu's coach Pullela Gopichand.

Additional Information

• In the year 2020, the Dronacharya award was given to 13 coaches, a few of them are Shiv Singh, Dharmendra Tiwari, Naresh Kumar.
• Nagpuri Ramesh is the coach of Indian professional sprinter Dutee Chand.
• He received the Dronacharya award for athletics in 2016.

The correct option is AEVLTR.

Important Points

• After rearranging AEVLTR, a meaningful English word we get is Travel. So, the correct option is number 2.
• Travel means going from one place to another by covering some distance.
• A person who travels is called a traveller. Synonyms of traveller are visitors, tourists, passenger, etc.

Additional Information

• After rearranging option number one we would get Biology.
• After rearranging option number three we would get Chemistry.
• After rearranging option number four we would get Physics.

The logic follows here is :-

Family chart :-

Family tree :-

Here the relation given in question is B and C are husband and wife respectively. M is the father of K and C.

Hence, "B is Son-in-law for M".

Thus, the correct answer is 'Son-in-law'.

The correct answer is Potential.

Key Points

• Electric potential is the "work done in moving a unit charge between two points in an electric circuit".
• It is measured in Volts.
• While electric potential energy has a dependency upon the charge of the object experiencing the electric field, an electric potential is purely location depend.
• The movement from the negative terminal to the positive terminal would require work, thus increasing the potential energy of every Coulomb of charge that moves along this path.

Important Points 

• The flow of electrons in a complete circuit of conductors is known as electric current.
• Ampere is the SI unit of electric current.
• The rate, per unit time, at which work is being done on an electric circuit is known as electric power. Power is measured in Watts.
• Electrical resistance is the measure of the opposition to current flow in an electrical circuit, it is measured in ohms.

Additional Information

• Kirchhoff’s two rules of the electric current states that –
  

(a) Junction Rule: At any junction of circuit elements, the sum of currents entering the junction must equal the sum of currents leaving it.

(b) Loop Rule: The algebraic sum of changes in potential around any closed loop must be zero.

The correct answer is Gujarat.

Key Points

• Rann Utsav is a festival in Kutch, Gujarat, India.
• Rann Utsav is a 3 month-long Carnival of Music, Dance, nature beauty of White Rann, and much more than that when visiting under the full Moon.
• The Rann festival proudly showcases the myriad arts and crafts of Gujarat, its folk songs and dance, and the Rann’s natural beauty.
• The Rann festival dates run from October till the third week of February each year.
• The Rann Utsav festival of Gujarat state was inaugurated by Gujarat Tourism Minister Saurabh Patel in the year 2013.
• The present tourism minister of Gujarat is Jawahar Chavda.

​

Additional Information

• The present Chief Minister of Gujarat is Bhupendra Patel and the Governor is Acharya Devvrat.
• The present Union Minister of tourism and culture is Prahlad Singh Patel.

The least possible Venn diagram is :-

The number of people who drink only coffee is = 30

The number of people who drink all the three (milk, tea & coffee) =15

Here, (The number of people who drink only coffee is) - (The number of people who drink all the three (milk, tea & coffee)) =

30 - 15 = 15

Hence, The number of people who drink only coffee is 15 than that of those who drink all the three (milk, tea & coffee).

Thus, the correct answer is '15'.

The least possible Venn diagram is :-

The number of people who drink tea = 40 + 25 + 20 + 15 = 100.

The number of people who drink coffee = 30 + 25 + 15 = 70.

Hence, the difference between the number of people who drink tea and those who drink coffee is :-

(The number of people who drink tea) - (The number of people who drink coffee) = 100 -70 = 30.

thus, the correct answer is '30'.

Given:

Amount of sweet = 250 g

Amount of cashew in it = 20 g

Amount of almonds in it = 30 g

Amount of sweet in which we need to find the amount of cashew and almonds = 350 g

Concept:

The percentage of cashew and almond will remain the same in 250 g and in 350 g.

Calculation:

Percentage of cashew in 250 gram sweet = 20/250 × 100

⇒ Percentage of cashew in 250 gram sweet = 8%

Percentage of almond in 250 gram sweet = 30/250 × 100

⇒ Percentage of almond in 250 gram sweet = 12 %

Now, to find the amount of cashew and almond in 350 gram of sweet,

Amount of cashew in 350 gram sweet = 350 × 8/100

⇒ Amount of cashew in 350 gram sweet = 28 g

Amount of almond in 350 gram sweet = 350 × 12/100

⇒ Amount of almond in 350 gram sweet = 42 g

∴ The amount of cashew and almond in 350 grams sweet is 28 grams and 42 grams respectively.

Let the number be x

Statement I: 

25% of x = x - 60 

⇒ (25/100) × x = x - 60

⇒ (1/4) × x = x - 60

⇒ x = 4x -  240

⇒ 4x - x = 240

⇒ 3x = 240

⇒ x = 80

Now, 40% of x = 80 × (40/100) = 32

So, without even evaluating the other options we can see that we got the number. 

Hence, Statement I alone is sufficient to answer the question

Statement II: 

⇒ 20% of x = even number

Since, we do not have any information about even number we cannot solve it further

Hence, Statement II alone is insufficient to answer the question

Statement III: 

5% of twice the number is $\dfrac{1}{10}th$ of the number

⇒ 5% of 2x = $\dfrac{1}{10}$ of x

⇒ $\dfrac{1}{20}$ × 2x = $\dfrac{x}{10}$

⇒ x/10 = x/10

Hence, Statement III alone is insufficient to answer the question

Therefore, the correct answer is Only I is sufficient.

The correct answer is Automatic.

Key Points

• Automatic is not a mode of heterotrophic nutrition.
• Heterotrophic is a type of nutrition that involves the intake of complex material prepared by other organisms.
• Different types of heterotrophic nutrition are saprophytic, parasitic, and holozoic.
• Autotrophic nutrition involves the intake of simple inorganic materials from the environment and using an external energy source like the Sun to synthesize complex high-energy organic material.
• The word “autotroph” comes from the root words “auto” for “self” and “troph” for “food.”
• An autotroph is an organism that feeds itself, without the assistance of any other organisms.

Additional Information

• A type of nutrition in which an organism lives inside the body or at the body surface of another type of organism is known as Parasitic nutrition.
• Nutrition takes place in organisms that take solid or liquid food inside their body is known as Holozoic nutrition.

The logic follows here is :-

Thus, the correct answer is "IM".

The correct answer is New Delhi.

Key Points

• The headquarters of the Indian Council of Agricultural Research (ICAR) is located in New Delhi.
• The Indian Council of Agricultural Research (ICAR) is an autonomous organization under the Department of Agricultural Research and Education (DARE), Ministry of Agriculture and Farmers Welfare, Government of India.
• Formerly ICAR was known as the Imperial Council of Agricultural Research, it was established on 16 July 1929 as a registered society under the Societies Registration Act, 1860 in pursuance of the report of the Royal Commission on Agriculture.
• The Ministry of Agriculture & Farmers' Welfare is headed by Narendra Singh Tomar.

​

Additional Information

• The headquarters of the Board of Control for Cricket in India (BCCI) is in Mumbai.
• The headquarters of the Insurance Regulatory and Development Authority (IRDA) is in Hyderabad.

The correct answer is Exothermic.

Key Points

• An exothermic reaction is a chemical reaction that releases energy in the form of light or heat.
• It is the opposite of an endothermic reaction.
• Expressed in a chemical equation: reactants → products + energy.
• Exothermic Reaction means "Exo" meaning releases and "thermic" means heat.
• So the reaction in which there is a release of heat with or without light is called an exothermic reaction.
• An exothermic reaction is a chemical reaction that releases heat. It gives net energy to its surroundings.
• That is, the energy needed to initiate the reaction is less than the energy released.
• When the medium in which the reaction is taking place collects heat, the reaction is exothermic.
• When using a calorimeter, the total amount of heat that flows into (or through) the calorimeter is the negative of the net change in energy of the system.
• Examples of exothermic reactions
• Combustion reactions of fuels or a substance ex: Burning of natural gas: CH4 + 2O2 → CO2 + 2H2O CH4 + 2O2 -> CO2 + 2H2O
• The thermite reaction
• The Haber process of ammonia production

Additional Information

Endothermic Reaction:

• Endothermic reactions are chemical reactions in which the reactants absorb heat energy from the surroundings to form products.
• These reactions lower the temperature of their surrounding area, thereby creating a cooling effect.
• When a chemical bond is broken, it is usually accompanied by a release of energy.
• Similarly, the formation of chemical bonds requires an input of energy.
• The energy supplied/released can be of various forms (such as heat, light, and electricity).
• When ammonium chloride (NH4Cl) is dissolved in water, an endothermic reaction takes place.
• The salt dissociates into ammonium (NH4⁺) and chloride (Cl^–) ions.
• The chemical equation can be written as follows: NH₄Cl (s) + H₂O (l) ⟶ NH₄Cl (aq) – Heat

 Combination reaction:

• A Combination reaction is one in which two or more reactants combine to form a single product.
• Examples are the formation of calcium oxide by the combination of calcium and oxygen.
• Calcium Hydroxide is formed by adding water to quicklime.
• Combustion of coal and combustion of hydrogen are examples of combination reactions.
• Coal burns in air to form carbon dioxide gas.
• Hydrogen burns in the presence of oxygen to form water.

Decomposition reaction:

• A Decomposition reaction is a type of chemical reaction in which a single compound breaks down into two or more new compounds.
• When Limestone is heated strongly it decomposes to form calcium oxide and carbon dioxide.

The correct answer is Peristalsis.

Key Points

• Peristalsis is a type of wave-like movement occurring in the alimentary canal which involves contraction and relaxation of the muscles.
• It begins in the esophagus and helps to move the food along the alimentary canal for the process of digestion.

Additional Information

 Gastric:

• The Gastric Glands secrete the enzyme Pepsin.
• Gastric glands are found in the stomach. They secrete enzymes like Pepsin, Rennin which act upon the Proteins.
• Glands in the mucous-membrane which line the stomach make and store an inactive protein known as pepsinogen. When pepsinogen is released into the stomach and mixed with gastric juice, it is converted into pepsin.
• The pH of the gastric juice which is involved in the process of digestion is about 1.5 - 3.5.
• This is because the gastric juice comprises of hydrochloric acid which activates pepsinogen into enzyme pepsin that is responsible for the subsequent breakdown of proteins.

Diastolic:

• Blood pressure is measured using two numbers.
• The first number, called systolic blood pressure, measures the pressure in your blood vessels when your heartbeats.
• The second number, called diastolic blood pressure, measures the pressure in your blood vessels when your heart rests between beats.
• If the measurement reads 140 systolic and `100 diastolic, you would say, “140 over 100,” or write, “140/100 mmHg.”

The correct answer is Acid Rain.

Key Points

• Acid rain refers to the ways in which acid from the atmosphere is deposited on the earth’s surface.
• Oxides of nitrogen and sulphur which are acidic in nature can be blown by the wind along with solid particles in the atmosphere and finally settle down either on the ground as dry deposition or in water, fog and snow as wet deposition.
• Acid rain is a byproduct of a variety of human activities that emit the oxides of sulphur and nitrogen in the atmosphere. As mentioned earlier, burning of fossil fuels (which contain sulphur and nitrogenous matter) such as coal and oil in power stations and furnaces or petrol and diesel in motor engines produce sulphur dioxide and nitrogen oxides.
• It may cause corrosion in many buildings bridges, monuments, fencing etc
• SO2 and NO2 after oxidation and reaction with water are major contributors to acid rain because polluted air usually contains particulate. the matter that catalyses the oxidation.

2SO2 (g) + O2 (g) + 2H2O (l) → 2H2SO4 (aq)

4NO2 (g) + O2 (g)+ 2H2O (l) → 4HNO3 (aq)

Important Points

• Mining operations, Agricultural activities, and Burning of fossil fuels are the example of Air pollution.

The correct answer is 26th January 1950.

Key Points

• The Supreme Court in India was established under the Regulating Act, of 1773.
• The Regulating Act of 1773 established a Supreme Court at Fort William, Calcutta.
• Harilal Jekisundas Kania was the first Chief Justice of India.
• The Supreme Court came into existence on 26 January 1950 with the coming into force of the Constitution. The Supreme Court initially functioned from the old Parliament House till it moved to the present building located on Tilak Marg, New Delhi in 1958.
• On 28 January 1950, two days after India became a Sovereign Democratic Republic, the Supreme Court was inaugurated. The inauguration took place in the Chamber of Princes in the old Parliament building where the Federal Court of India sat for 12 years from 1937 to 1950.
• The inauguration took place in the Chamber of Princes in the Parliament building which also housed India's Parliament, consisting of the Council of States and the House of the People.
• In the Chamber of Princes, the Federal Court of India had sat for 12 years between 1937 and 1950.
• This was to be the home of the Supreme Court for years that were to follow until the Supreme Court acquired its own present premises.
• It replaced both the Federal Court of India and the Judicial Committee of the Privy Council.
• The First proceedings took place on 28 January 1950 at 9:45 am.​

​

Confusion PointsPlease go through this Official Link for a better understanding**.**

Link: https://bit.ly/2UuGyOB

The correct answer is Photolysis.

Key Points

• John Turner and Oscar Khaselev at the US National Renewable EnergyLaboratory in Golden, Colorado created a water-splitting device by combining photovoltaic and photoelectrochemical technology.
• It did the job, producing hydrogen four times more efficiently than photosynthesis. Unlike photosynthesis, however, their system used rare metals and wasn’t stable even for a day.

Given: The maturity values of an amount in 5 and 6 years at 8% simple interest p.a. are Rs. 1120 and Rs. 1184 respectively.

Concept used: Simple interest 

Calculation: simple interest for 5 years at 8% = Rs. 1120

and simple interest for 6 years at 8% = Rs. 1184

⇒ The difference in the interest for one year = Rs. 64

⇒ SI = PRT/100

⇒ principal = $\frac{{SI; \times ;100}}{{time; \times; rate}}$

⇒ P = $\frac{{64\ \times\ 100}}{{1\ \times\ 8}}$

∴ P = Rs. 800

The correct answer is Niels Henrik David Bohr.

Important Points

• Niels Henrik David Bohr was a physicist who made foundational contributions to understanding atomic structure and quantum theory. So, option 4 is NOT correct.
• He also won  Nobel Prize in Physics in 1922.
• Thomas Robert Malthus was an economist who works in the fields of political economy and demography.
• David Ricardo was a British political economist.
• John Maynard Keynes was a British economist, who gave ideas and modify the macroeconomics and the economic policies of governments.

Given: 

An article was sold for Rs. 2500 at a profit of 25%

Concept used: 

Profit and loss, calculating the profit.

Calculation: 

SP = Rs. 2500 and profit % = 25%

⇒ the ratio of 25% profit is 4 : 5 

⇒ CP : SP = 4 : 5

⇒ Let the CP and SP be 4x and 5x respectively.

⇒ 5x = 2500

⇒ x = 500

Gain = 5x - 4x = x = 500

Given: 15 men can do a work in 20 days

Concept used: $\frac{{{m_1}{d_1}{h_1}}}{{{w_1}}}$ = $\frac{{{m_2}{d_2}{h_2}}}{{{w_2}}}$

Calculation: m₁ = 15, d₁ = 20, w₁ = 1

⇒ m₂ = 10, w₂ = 2 and d₂ = ?

Now applying the formulae : $\frac{{{m_1}{d_1}{h_1}}}{{{w_1}}}$ = $\frac{{{m_2}{d_2}{h_2}}}{{{w_2}}}$

⇒ $\frac{{15 ;\times; 20}}{1}$ = $\frac{{10; \times; {d_2}}}{2}$

∴ d₂ = 60

The assertion is true, as the sale of mobile phones has increased numerously in recent times. The reason for this is digitalization.

However, the reason mentioned is false, as retail sale of mobile phones is more than that of online sale.

Thus, the correct option is "A is true, but R is false".

The correct answer is Dr. S.C. Jamir.

Important Points

Senayangba Chubatoshi Jamir:

• He is an Indian politician and former Governor of Odisha.
• He has served as the Chief Minister of Nagaland, Governor of Maharashtra, Governor of Gujarat, Governor of Goa, and Governor of Odisha.

​

Additional Information

• Utkala Divas- 1 April
• Odisha:
• Capital- Bhubaneshwar
• Chief Minister- Shri Naveen Patnaik

Family Chart:- 

Family Tree according to the statement:-

X is the son of Z.

K is Z's wife.

X is the brother of Y.

Y is not a son of Z.

Y is the daughter of K.

Thus, the correct answer is "daughter".

The correct answer is Depression.

Important Points

• Depression is a significant decrease in the economic cycle marked by a sharp decrease in industrial production, widespread unemployment, extreme decreases or cessation in growth in construction activity, and a sharp decrease in foreign trade and capital movements.
• Deflation is a general decrease in the prices of goods and services, usually related to a reduction in the economy's supply of capital and credit. The currency's purchasing power rises overtime during deflation.
• Inflation is a nominal indicator of the rate at which an economy's average price level of a basket of selected products and services rises over time.
• Owing to use, wear and tear or obsolescence, the monetary value of assets declines over time.
• This reduction is calculated as depreciation.

The correct answer is Semi-conductor.

Important Points

Semiconductor:

A semiconductor material has an electrical conductivity value falling between that of a conductor, such as metallic copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals are the opposite.

Additional Information

• The substance which allows heat and electricity to pass through it is called the Conductor. e.g- Steel, Iron, Copper
• The substance which does not allow heat and electricity to pass through it is known as Insulator. e.g- wood, Plastic
• The electrical conductivity value of a semiconductor material lies between that of a conductor and an insulator.

Given: 

110, 80, 70, 90, 120, 90, 80, 70, 60, 80

Concept used: 

In the given series of numbers, the number which gets repeated maximum times is Mode.

Calculation: 

Here in the given series of numbers, we see that number 80 is getting repeated thrice.

So, the mode in the series is 80.

The logic is :

(Square of the place value + 1)

D = (4)² + 1 = 16 + 1 = 17

Similarly,

F = (6)² + 1 = 36 + 1 = 37

Thus, the correct answer is "37".

Given: Two rational numbers 2/4 and 6/10 

Concept used: convert these rational numbers into percentage values.

Calculation: 2/4 × 100 = 50%

⇒ 6/10 × 100 = 60%

Now, we need to see through the options that which value falls between these two percentage values.

Go through the options checking all the values.

option ( a ) = 11/25 × 100 = 44%

option ( b ) = 21/40 × 100 = 105/2 = 52.5%

option ( c ) = 3/4 × 100 = 75%

option ( d ) = 11/4 × 100 = 275%

so from all these values we can see that 52.5% which is the third option satisfies the given relation.

21/40 lies between 2/4 and 6/10.

The correct answer is Literature.

Important Points

• Sahitya Akademi was established by the Government of India in 1954.
• Sahitya Akademi is the central institution for literary dialogue, publication, and promotion in the country and the only institution that undertakes literary activities in 24 Indian languages, including English.
• Akademi also gives 24 awards annually to literary works in the languages.

Given: The areas of two similar triangles are 121 sq.m and 64 sq.m.

and median of the 1st triangle = 12.1 m.

Concept used: Median of two similar triangles are proportional to square root of ratio of their Areas.

Calculation: Let two triangle be Δ ABC and Δ PQR

⇒ Δ ABC and Δ PQR are similar triangles.

⇒ Areas of these two similar triangles are 121 and 64 sq.m. respectively.

⇒ median of the 1st triangle = 12.1 m. Let the median of the second triangle be x cm.

⇒ $\sqrt {\frac{{121}}{{64}}}$ = $\frac{{12.1}}{x}$

⇒ 11/8 = 12.1/x

∴ x = 8.8

The correct answer is Learning sites for sustainable development.

Important Points

• Biosphere reserves are terrestrial and coastal habitat areas that facilitate ways to balance biodiversity conservation with sustainable use.
• The Biosphere Conference was organized by UNESCO in 1968, which saw the beginning of the idea of a 'Biosphere Reserve'.
• The world's first biosphere reserve was established in 1979.

The correct answer is Jammu & Kashmir.

Important Points

• Kud dance is one of the major dance forms of Jammu &Kashmir.
• It is performed to honor the gods ‘Lok Devtas’ as a thanksgiving ritual and is mostly done in nights.

​

Additional Information

• Lt. Governor of J&K- Shri Manoj Sinha.

Given: $\dfrac{1}{43.21}=0.02314$

Concept used: Simple calculation.

Calculation: $\dfrac{1}{43.21}=0.02314$

⇒ 43.21 × 10^-5 = 1/0.0004321

⇒ 1/43.21 ×  10^-5 

= 0.02314 × 10⁵

∴ 2314

Formula used - 

Profit = selling price - cost price

profit percentage = (profit × 100)/cost price

Given - 

Two types of salt T and S are mixed in the ratio 4 : 6.

Let quantity be 4x and 6x for T and S respectively.

For T,

cost price = Rs. 25 per kg 

For S,

cost price = Rs. 35 per kg

Selling price of mixed variety = Rs. 37 per kg

Solution - 

Quantity for T and S be 4x and 6x respectively.

⇒ total cost price = 4x × 25 + 6x × 35 = 310x

⇒ total selling price = 10x × 37 = 370x

⇒ profit = 370x - 310x = 60x

⇒ profit percentage = 60x × 100/310x = 19.35% $≈$ 20%

∴ profit percentage = 20% (approximate)

Given - 

(7/8) of 60% of 80

Solution - 

(7/8) of 60% of 80

⇒ (7/8) × (60/100) × 80

⇒ 42

∴ answer = 42.

The correct answer is Desert Circuit.

Important Points

Desert Circuit:

• It is a semi-luxury train that runs between Jaipur-Bikaner-Jaisalmer-Jodhpur via Ajmer- Pushkar.
• It is managed and handled by IRCTC.
• Current Minister of Railways- Ashwini Vaishnaw

Concept used - 

0.1 = (1/10) = 10^{- 1}

0.01 = (1/100) = 10^{- 2}

0.001 = (1/1000) = 10^{- 3}

a^m × aⁿ = a^{(m + n)}

Solution - 

3.0 × 0.3 × 0.03 × 0.003

⇒ 3 × (3/10) × (3/100) × (3/1000)

⇒ 81 × 10^{- 1} × 10^{- 2} × 10^{- 3}

⇒ 81 × 10^{- (1 + 2 + 3)}

⇒ 81 × 10^{- 6}

∴ answer = 81 × 10^{- 6}

The correct answer is Black.

Important Points

Black Soil:

• The black soils are also called regur (from the Telugu word Reguda) and black cotton soils because cotton is the most important crop grown on these soils.
• Several theories have been put forward regarding the origin of this group of soils but most pedologists believe that these soils have been formed due to the solidification of lava spread over large areas during volcanic activity in the Deccan Plateau, thousands of years ago.​

Additional Information

• The soil is a mixture of rock debris and organic materials that grow on the surface of the earth.
• The key variables that decide the characteristics of soils are parent material, climate, relief, vegetation, time, and some other life forms.
• Soil Survey of India was established in 1956.
• Major types of soil are Alluvial, Black, Red, Laterite soil etc.

Formula used - 

radius of wheel is r cm

circumference = 2πr

radius = diameter/2

If a wheel revolves n times 

distance = n × 2πr

1 meter = 100 cm

Given - 

diameter = 84 cm, distance = 792 m = 79200 cm

Solution - 

radius = 84/2 = 42 cm

⇒ distance = n × 2πr

⇒ 79200 = n × 2 × (22/7) × 42

⇒ n × 264 = 79200

⇒ n = 300

∴ number of revolution = 300

The correct answer is all the finished goods and services produced within a country.

Important Points

Gross domestic product (GDP):

• The total monetary or consumer value of all finished goods and services produced within the boundaries of a country over a particular period of time is the Gross domestic product (GDP).
• GDP offers a country's economic snapshot, used to measure the size of an economy and the pace of growth.
• GDP can be measured using expenditure, production, or income in three ways.

The correct answer is popular violence.

Important Points

• As the Indian National Congress (INC) revoked its support for British reforms following the Rowlatt Act of 21 March 1919 and the Jallianwala Bagh massacre of 13 April 1919, the Non-Cooperation Movement was launched on 5 September 1920 by Mahatma Gandhi with the goal of self-governance and complete independence.
• A massacre took place in Chauri Chaura, a small town in the Gorakhpur district of Uttar Pradesh, on 4 February 1922.
• After this violence, Gandhi Ji withdraws the Non-cooperation movement.

Given equation is :

48 S 8 P 7 U 2 G 21

Interchanging the signs with given mathematical operators, we get :

48 ÷ 8 + 7 × 2 - 21

= 6 + 7 × 2 - 21

= 6 + 14 - 21

= 20 - 21

= -1

Thus, the correct answer is "-1".

Formula used - 

If x number of people can do W1 work, in D1 days, working T1 hours each day and the number of people can do W2 work, in D2 days, working T2 hours each day, then the relation between them will be

Given - 

12 men or 24 boys can do work in 20 days.

Solution -

Let the work be completed in d days. 

12 men or 24 boys

⇒ 12 men = 24 boys

⇒ 1 men = 2 boys..........................(1)

⇒ total work = 24 × 20

⇒ 24 men + 12 boys

⇒ from equation (1) 

⇒ 24 × 2 boys + 12 boys = 60 boys

⇒ 60 × d = 24 × 20

⇒ d = 8 days

∴ they complete their work in 8 days.

The correct answer is Sri Lanka.

Important Points

Temple of the Sacred Tooth:

• It is a Buddhist temple in the city of Kandy, Sri Lanka.
• It is located in the royal palace complex of the former Kingdom of Kandy, which houses the relic of the tooth of the Buddha.
• Since ancient times, the relic has played an important role in local politics because it is believed that whoever holds the relic holds the governance of the country.
• Kandy was the last capital of the Sri Lankan kings and is a World Heritage Site mainly due to the temple.

Additional Information

• Sri Lanka is an island country situated in the south of India's mainland in the Indian Ocean.
• Capital of Sri Lanka is Sri Jayewardenepura Kotte.
• Currency- Sri Lankan Rupee
• President-  Anura Kumara Dissanayake
• PM- Dinesh Gunawardena

Solution - 

Let the number of the girls be G.

⇒ Number of boys = 2G

According to question;

⇒ 2G - 15 = G + 10

⇒ G = 25

⇒ number of boys = 2G = 50

∴ number of boys at starting is 50.

38 - 2 + 1 × 6 ÷ 6 

Interchanging the signs '-' and '÷', we get :

38 ÷ 2 + 1 × 6 - 6 

= 19 + 1 × 6 - 6

= 19 + 6 - 6

= 25 - 6

= 19

Thus, the correct answer is "19".

Family Chart:- 

Family Tree according to the statement:-

Y is a housewife and her husband is an Inspector.

Their sons J, a teacher and K, a banker are married to a nurse and teacher respectively.

J's son P, an Inspector is married and has 2 sons (son 1 and son 2).

K's daughter Q, a software engineer is married and has two sons (son 3 and son 4).

Number of male in joint family = 9

Number of female in joint family = 5

Male : Female = 9 : 5

Thus, the correct answer is "9 : 5".

Family Chart:- 

Family Tree according to the statement:-

Y is a housewife and her husband is an Inspector.

Their sons J, a teacher and K, a banker are married to a nurse and teacher respectively.

J's son P, an Inspector is married and has 2 sons (son 1 and son 2).

K's daughter Q, a software engineer is married and has two sons (son 3 and son 4).

Married couples are :

Housewife - Inspector

Nurse - Teacher

Banker - Teacher

Thus, the correct answer is "Nurse - Teacher".

Family Chart:- 

Family Tree according to the statement:-

Y is a housewife and her husband is an Inspector.

Their sons J, a teacher and K, a banker are married to a nurse and teacher respectively.

J's son P, an Inspector is married and has 2 sons (son 1 and son 2).

K's daughter Q, a software engineer is married and has two sons (son 3 and son 4).

Q's grandmother is Y and she is a housewife.

Thus, the correct answer is "housewife".

The correct answer is Mangalyan.

Important Points

The Mars Orbiter Mission (MOM), or Mangalyaan, is a space probe launched on November 5, 2013 by the Indian Space Research Organization.

• The mission made India the first Asian nation and the fourth in the world to reach the planet, after Roscosmos, NASA, and the European Space Agency.
• ISRO chairman- S. Somnath
• ISRO spent $75 million to launch the mission.

The correct answer is ​MS Excel.

Important Points

A workbook is another word for your Excel file. When you start Excel, click Blank workbook to create an Excel workbook from scratch.

​

Additional Information

• The computer was invented by Charles Babbage.
• Different Generations of Computer-
• First Generation- 1946-1959, Vacuum tube-based
• Second Generation- 1959-1965, Transistor-based
• Third Generation- 1965-1971, Integrated Circuit based
• Fourth Generation- 1971-1980, VLSI microprocessor-based
• Fifth Generation-  1980-onwards, ULSI microprocessor-based

Formula used - 

cosθ = B/H, tanθ = P/B, secθ = H/B

Where, B = Base, P = Perpendicular, H = Hypotenuse

By Pythagoras theorem,

H² = P² + B²

Solution - 

cosθ = 4/5

⇒ B = 4, H = 5

⇒ P = √(5² - 4²) = 3

⇒ secθ + tanθ = (H/B) + (P/B) = (H + P)/B

⇒ secθ + tanθ = (5 + 3)/4

⇒ secθ + tanθ = 2

∴ secθ + tanθ = 2.

The correct answer is Run need-based applications.

Important Points

Computer literacy is defined as the knowledge and ability to use computers and related technology efficiently, with skill levels ranging from elementary use to computer programming and advanced problem-solving.

Additional Information

• Different Generations of Computer-
• First Generation- 1946-1959, Vacuum tube-based
• Second Generation- 1959-1965, Transistor-based
• Third Generation- 1965-1971, Integrated Circuit based
• Fourth Generation- 1971-1980, VLSI microprocessor-based
• Fifth Generation-  1980-onwards, ULSI microprocessor-based
• The Computer was invented by Charles Babbage