RRB Section Controller/RRB Traffic Apprentice (RRB NTPC) Tier I Official Paper (Held On: 03 Apr, 2016 Shift 1) (Previous Year Paper)

Option 2 is correct.

• Richter scale is a quantitative measurement of the magnitude of an Earthquake.
• It was developed by Charles Richter and Gutenberg in 1935.
• It is a logarithmic scale and can be measured using a seismometer.
• As it is a logarithmic scale, each whole-number increase on the scale represents a tenfold increase in measured amplitude.
• Magnitude level of 8 and higher on a Richter scale means it is a very major earthquake and would cause destruction and loss over large areas.
• Magnitude level of 5.0-5.9 is considered a moderate and magnitude level less than 1.0 to 2.9 is considered a micro-level earthquake and it is generally not felt by people.

Total marks of student 3 and 5 = 10 + 7 = 17

Total marks of student 4 and 1 = 6 + 8 = 14

∴ Required difference = 17 – 14 = 3

The correct answer is Modem.

Key Points

• The modem converts the digital signal into an analog signal.
• It stands for Modulator-Demodulator.
• In day to day activity, it allows a computer or another device, such as a router to connect to the Internet.
• As the name suggests, it first modulates and then demodulates.
• It converts (modulates) an analog signal from a telephone or cable wire to digital data of 1s and 0s. This digital data is recognized by a computer.
• Then, it converts (demodulates) digital data from a computer into an analog signal that can be sent over standard telephone lines.

38 and 57 both are divisible by 19

57/19 = 3 and 38/19 = 2

Hence, N = 2.

Let, Time saved be x hours

According to the question,

(50 + 5) × (5.5 – x) = 50 × 5.5

⇒ 302.5 – 55x = 275

⇒ 55x = 27.5

⇒ x = 0.5

∴ Time save = 0.5 hours = 0.5 × 60 min = 30 minutes

x = 7 – 4√3

⇒ x = 4 + 3 – 4√3

⇒ x = 2² + √3² – 2 × 2 × √3

⇒ x = (2 - √3)²

$\therefore \sqrt x + \frac{1}{{\sqrt x }}$

$\Rightarrow \sqrt {{{\left( {2 - \sqrt 3 } \right)}^2}} + \frac{1}{{\sqrt {{{\left( {2 - \sqrt 3 } \right)}^2}} }}$

$\Rightarrow 2;-;\sqrt 3 + \frac{1}{{2;-;\sqrt 3 }}$

$\Rightarrow 2 - \sqrt 3 + \frac{{\left( {2 + \sqrt 3 } \right)}}{{\left( {2 + \sqrt 3 } \right)\left( {2 - \sqrt 3 } \right)}}$

$\Rightarrow 2 - \sqrt 3 + \frac{{\left( {2 + \sqrt 3 } \right)}}{{4 - 3}}$

⇒ 2 – √3 + 2 + √3

⇒ 4

Option 4 is correct.

• Yamuna is India's longest river that does not flow into the sea.
• Yamuna is a tributary of Ganga river.
• The Yamuna is approximately 1376 km. It originates from Yamunotri Glacier in Uttrakhand.
• Tributaries of Yamuna river- Chambal, Betwa, Sindh, Banas, Hindon, Ken, etc.
• Yamuna river merges with the Ganga river at Triveni Sangam in Praygraj in Uttar Pradesh.
• It is called Triveni because it is believed that the mythic Saraswati river along with Ganga and Yamuna also merges here.

Option 3 is correct.

• Rice is the most cultivated crop in India.
• It contributes to more than 40 per cent of the country's total food grain production
• West Bengal is the largest rice-producing state in India with almost half of its arable land under rice cultivation.
• Uttar Pradesh is the second-largest producer of rice with almost 5.86 million hectares of land under rice cultivation.
• The main rice growing season in the country is the 'Kharif'.
• It is known as winter rice as per the harvesting time.
• The sowing time of winter (kharif) rice is June-July and it is harvested in November-December.

Option 4 is correct.

• The value of Gold is determined in London, UK.
• The ICE Benchmark Administration (IBA) publishes the LBMA Gold Price in US dollars twice in a day. This serves as a benchmark price for gold producers, investors, consumers, and central banks worldwide.
• However, the price of gold is adjusted in real-time based on financial evaluations of anonymous auction which runs every 45 seconds.
• When all buy and sell orders and imbalances are within 20,000 troy ounces, the price is fixed.
• Traders primarily use two pricing models-Gold Futures Price and Gold Spot Price.

The given option A is not correct because buffalo’s milk and Camel’s milk are consumed.

Second option is not correct because elephants don’t have horns.

Third option is not correct because Giraffe is a mammal.

Fourth option is correct as all of their young ones are called calf.

$y = \frac{{2x - 1}}{{x + 3}}$

⇒ 1 = (2x – 1)/(x + 3)

⇒ x + 3 = 2x – 1

⇒ x = 4

∴ When y = 1, x = 4

Option 2 is correct.

• Vitamin K is crucial for blood clotting.
• Clotting of blood is an important process that prevents excessive bleeding when a blood vessel is injured.
• The whole process involves three basic steps:
• Vascular spasm.
• The formation of a platelet plug.
• Coagulation, in which clotting factors promote the formation of a fibrin clot.

Given equation: 9 ÷ 5 + 10 – 23 × 2

After interchanging: 9 ÷ 5 × 10 – 23 + 2

Apply BODMAS rule we get,

1.8 × 10 – 23 + 2 = 18 + 2 – 23 = -3

Hence the correct option is -3.

Total length of the wire = 2 × (42.7 + 21.8) m = 129 m

Let, side of the square be x m

According to the question,

4x = 129

⇒ x = 129/4 = 32.25

∴ The measure of the side of the square = 32.25 m

Option 4 is correct.

• According to the Swachh Bharat 2015 survey, Mysore (in Karnataka) was the cleanest city of India.
• The survey 2015 ranked 476 cities in the country.
• Swachh Survekshan is an annual survey of cleanliness, hygiene, and sanitation in cities and towns across India. It was launched as part of the Swachh Bharat Abhiyan of India.
• As per Swachh Survekshan 2019:
• Indore was rank first with a score of 4659.09.
• The second city was Ambikapur in Chattisgarh with a score of 4394.09.
• In this survey, Mysore in Karnataka came at third with a score of 4378.54.

Option 2 is correct.

• According to the 2015 Global Peace Index, Iceland was the most peaceful country.
• Iceland remains the most peaceful country in the world in the 2019 Global Peace Index also.
• The thirteenth edition of the Global Peace Index (2019) ranks 163 independent states and territories according to their level of peacefulness.
• The index is produced by the Institute for Economics and Peace.
• It covers 99.7 percent of the world’s population and uses 23 qualitative and quantitative indicators.
• It measures the state of peace using three thematic domains- the level of Societal Safety and Security; the extent of Ongoing Domestic and International Conflict; and the degree of Militarisation.

Option 4 is correct.

• Chipko movement began in Rajasthan.

​

Key Points 

• The original ’Chipko movement’ was started around 260 years back in the early part of the 18th century in Rajasthan by the Bishnoi community.
• It is said that members of the Bishnoi community of Rajasthan led by Amrita Devi laid down their lives in an effort to protect the Khejadi trees from being felled on the orders of the king of Jodhpur in 1730.
• After this, the king of Jodhpur gave a strong royal decree preventing the cutting of trees in all Bishnoi villages.
• Rajasthan capital: Jaipur.
• Rajasthan CM: Bhajan Lal Sharma
• Rajasthan Governor: Haribhau Kisanrao Bagade

Confusion Points

• In modern times Chipko movement began in Uttarakhand in 1973.
• Sunderlal Bahuguna was the leader of this movement.

The words that can be formed form given letter are as follows,

A. ORIN ⇒ IRON

B. NADA ⇒ No meaningful word

C. POPCER ⇒ COPPER

D. DLOG ⇒ GOLD

SO, NADA is the different from the given options.

Number of kids who like only Mars = 14

Number of kids who like all three = 13

∴ Required Ratio = 14/13

The given diagram is,

Number of kids like mercury = 10 + 12 + 13 = 35

Number of kids like Jupiter = 16 + 13 = 29

Difference = Number of kids like mercury - Number of kids Like Jupiter = 35 – 29 = 6

The given diagram is,

People who like mars and also Jupiter = 13 + 16 = 29

So, 29 people who like Mars and Like Jupiter also.

Option 3 is correct.

• The capital of Uganda is Kampala.
• Uganda is a landlocked country in the East Africa region.
• Bulenga is just an area in Kampala.
• Currency-Ugandan shilling
• President-Yoweri Museveni
• Mogadishu is the capital of Somalia.
• Currency-Somali shilling
• Lusaka is the capital of Zambia.
• Currency-Zambian kwacha

Option 4 is correct.

• Madhubani art: A folk art practised in Bihar.
• It is a style of Indian painting and it is majorly practised in the Mithila region.
• This painting is made by using many tools namely twigs, brushes, nib-pens, matchsticks, natural dyes, etc.
• The famous subjects for paintings are-nature and mythology to depict different events like birth, marriage, and cycles of life.
• Bihar Capital- Patna
• Bihar CM- Nitish Kumar
• Bihar Governor- Rajendra Vishwanath Arlekar

Option 1 is correct.

• Planet Nine: A large icy planet proposed in the outer Solar System.
• It is a hypothetical Neptune-sized planet, which orbits our Sun in a highly elongated orbit far beyond Pluto.
• It could have a mass about 10 times that of Earth.
• There is no direct observation of the object. It is a mathematical prediction of a planet that could explain the unique orbits of some smaller objects in the Kuiper Belt.
• The Kuiper Belt is a region of the Solar System that exists beyond the eight major planets (extending from the orbit of Neptune).
• Astronomers are still looking for this planet.

Option 1 is correct.

• C++ is NOT an Operating System.
• An operating system is a system software or an interface between a computer user and computer hardware. It basically to communicate with the computer.
• An operating system performs tasks like file management, memory management, process management, handling input and output, and controlling peripheral devices.
• Examples of operating systems are Window7, Window8, DOS, OS X, etc.
• C++ programming language created by Bjarne Stroustrup.
• It is widely used for graphical applications that can be run in Windows and Macintosh.
• This language is used for making an application that requires high-performance image processing, real-time physical simulations, etc.

12 = 2 × 2 × 3

24 = 2 × 2 × 2 × 3

48 = 2 × 2 × 2 × 2 × 3

60 = 2 × 2 × 3 × 5

96 = 2 × 2 × 2 × 2 × 2 × 3

⇒ LCM of 12, 24, 48, 60 and 96 = 2 × 2 × 2 × 2 × 2 × 3 × 5 = 480

Smallest 5 digit number = 10000

On dividing 10000 by 480 we get 400 as a remainder. [∵ 10000 = 480 × 20 + 400]

∴ Smallest 5 digits number divisible by 12, 24, 48, 60 and 96 = 10000 – 400 + 480 = 10080

We know, 1 dm = 0.1 m

Calculation

Total area of the room = (6.5 × 3) = 19.5 sq. m

∴ Total cost for carpeting the room = (45 × 19.5) = Rs. 877.50

Option 4 is correct.

• Antibiotics are the most common treatment for bacterial infections in humans.
• Antibiotics are medicines, which help in stopping the infections caused by bacteria. They kill the bacteria or do not let them reproduce.
• Aspirin- It is a medication used to reduce pain, fever, or inflammation.
• Antibodies- It a protective protein produced by the immune system in response to an antigen.
• Antigen- An antigen is any substance that causes your immune system to produce antibodies against it.

Let, the age of Jai be 5x and age of Joy be 2x

According to the question,

5x + 2x = 63

⇒ 7x = 63

⇒ x = 9

Present age of Jai = 5 × 9 = 45 years

Present age of Joy = 2 × 9 = 18 years

⇒ After 9 years Jai’s age = (45 + 9) = 54 years

⇒ After 9 years Joy’s age = (18 + 9) = 27 years

∴ Required Ratio = 54 ∶ 27 = 2 ∶ 1

Let, cost price of a chocolate be Rs. x

Selling price of a chocolate = Rs. 160/90 = Rs. 16/9

According to the question,

x – x × 20/100 = 16/9

⇒ 0.8x = 16/9

⇒ x = 16/9 × 10/8

⇒ x = 20/9

Selling price of a chocolate at 20% profit = Rs. (20/9 + 20/9 × 20/100) = Rs. 24/9

Let, Number of chocolates he should sell for Rs. 96 be k

⇒ 24k/9 = 96

⇒ k = 96 × 9/24 = 36

∴ He should sell 36 chocolates for Rs. 96

Option 3 is correct.

• An archipelago is a group, chain, cluster, or collection of Islands.
• It is a geographical term for a group of islands scattered across a body of water.
• Malay Archipelago is considered the largest group of islands in the world.
• It consists of more than 17,000 islands of Indonesia and the approximately 7,000 islands of the Philippines.
• Lakshadweep of India is considered as an archipelago consisting of 36 islands with an area of 32 sq km.

Total no of animals = 6

Animals are standing in a circle where they mark vertices of a hexagon.

So,

Goat is immediate right of pig.

The horse is diagonally opposite to the pig.

So,

Cow is not tied next to donkey or Dog.

So,

The cow is immediate left to Horse.

Total no of animals = 6

Animals are standing in a circle where they mark vertices of a hexagon.

So,

Goat is immediate right of pig.

The horse is diagonally opposite to the pig.

So,

Cow is not tied next to donkey or Dog.

So,

No other pair is tied next to each other except Donkey and Dog.

Total no of animals = 6

Animals are standing in a circle where they mark vertices of a hexagon.

So,

Goat is immediate right of pig.

The horse is diagonally opposite to the pig.

So,

Cow is not tied next to donkey or Dog.

So,

As the positions of Donkey and Dog are not fixed so, it cannot be determined that who is to the immediate left to Pig.

Option 2 is correct.

• Sabari kartik is a famous Indian Karate Champion.
• Sabari represents India in various Karate tournaments.
• His notable participation includes 16th 2010 Asian Games held in China, the Malaysian Open, and the first South Asian championship held in Delhi.
• He won gold in the 24th National Karate Championship, gold in 34th National Games, Silver, and Bronze in 1st South Asian karate championship, Silver in Malaysian Open, etc.

Option 1 is correct.

• Nitrous oxide is popularly called Laughing Gas.
• It is a colorless and odorless substance.
• The formula of Nitrous Oxide- N₂O.
• It is effective as a sedative and used as a local sedation method by many dentists.
• It is mixed with oxygen and inhaled through a small mask.

Jubilee and years are as followed:

 

diamond jubilee is celebrated in 60 years.

Hence, 65th anniversary: Diamond Jubilee is odd among the given.

From the given options for option C.

Price of half liter milk = Rs. 11.5

⇒ Price of 1 litre milk = Rs. (11.5 × 2) = Rs. 23

It satisfies condition 3.

Price of half kg tomato = Rs. 21

⇒ Price of 1 kg tomato = Rs. 21 × 2 = Rs. 42

It satisfies condition 1.

Price of half kg Grapes = Rs. 43

⇒ Price of 1 kg grapes = Rs. (43 × 2) = Rs. 86

It satisfies condition 2.

∴ In shop O she will get all her items.

Option 3 is correct.

• M.S. Swaminathan an Indian geneticist played a leading role in Green Revolution.
• Green Revolution is referred to the increase in production of food grains (especially wheat and rice) by the introduction of high-yielding variety seeds and modern methods.
• The use of tractors, irrigation facilities, pesticides, and fertilizers became dominant.
• Swaminathan helped in introducing Mexican semidwarf wheat plants to Indian fields and helped to bring about greater acceptance of modern farming methods.
• Yellow Revolution: production of oil
• White Revolution: production of milk
• Black Revolution: production of petroleum

Sum of the marks = (41 + 39 + 52 + 48 + 54 + 62 + 46 + 52 + 40 + 96 + 42 + 40 + 98 + 60 + 52)

⇒ 822

Number of students = 15

∴ Mean of the marks = 822/15 = 54.8

(-4.6) × (-4.6) ÷ (-4.6 + 0.6)

⇒ (-4.6) × (-4.6) ÷ (-4)

⇒ (-4.6) × (1.15)

⇒ − 5.29

Nashik is Correct Answer.

• Indian currency notes are printed in Nashik, Maharastra.
• The two mills at Hoshangabad in Madhya Pradesh and Mysore, Karnataka design, produce and supply the paper on which currency is printed to printing presses.
• Once the banknote paper has been embedded with security features, these are sent to the four printing presses and they add additional security features of optically variable ink.
• Two of the currency note printing presses are owned by the Government of India and two are owned by the Reserve Bank, through its wholly-owned subsidiary, the Bharatiya Reserve Bank Note Mudran Ltd.
• The government-owned presses are at Nashik (Western India) and Dewas (Central India).
• The other two presses are at Mysore (Southern India) and Salboni (Eastern India).
• Coins are minted in four mints owned by the Government of India.
• The mints are located at Mumbai, Hyderabad, Calcutta, and Noida.
• The number of currency notes which are to be printed for each denomination is decided on the basis of projections for GDP growth rate, inflation, and electronic transactions. This data is called by 19 regional offices of the RBI.

Let, cost of cloth per meter be Rs. x

According to the question,

$x \times 4\frac{1}{2} = 60\frac{3}{4}$

⇒ 9x/2 = 243/4

$\Rightarrow x = \frac{{243}}{4} \times \frac{2}{9} = \frac{{27}}{2} = 13\frac{1}{2}$

∴ Cost per meter $= Rs;.13\frac{1}{2}$

Option 1 is correct.

• The number of Galilean moons of Jupiter discovered by Galileo Galilei in January 1610- Four.
• Galileo Galilei was an Italian astronomer and scientist.
• He described the rings of Saturn, the phases of Venus, sunspots, and the rugged lunar surface.
• The four moons discovered by him: Io, Europa, Ganymede, and Callisto.
• The 79th moon of Jupiter was announced in July 2018.
• Jupiter the largest planet in the solar system and it is the most massive planet (more than 300 times the mass of Earth) in our solar system.

Option 2 is correct.

• Mica is available abundantly in Rajasthan.
• In Rajasthan, Mica is mostly found in- Beaver Ajmer Belt, Bhilwara Belt, Dungarpur-Banswara Belt, Tonk Belt, and Kaunthal Belt.
• In India, muscovite, phlogopite, and biotite are the types of Mica found.
• As per the Indian Bureau of Mines 2017 report, Andhra Pradesh leads with 41% share in the country's total resources of Mica. It is followed by Rajasthan(28%), Odisha (17%), Maharashtra (13%), Bihar (2%).

Position of X in the English Alphabets = 24

Position of B in the English Alphabets = 2

Position of E in the English Alphabets = 5

So, BE = position of B + position of E = 2 + 5 = 7

Similarly, RING

Position of R = 18

Position of I = 9

Position of N = 14

Position of G = 7

Thus RING = 18 + 9 + 14 + 7 = 48

Let, two consecutive odd numbers be (x – 1) and (x + 1)

According to the question,

(x – 1) × (x + 1) = 399

⇒ x² – 1 = 399

⇒ x² = 400

⇒ x = 20

∴ Lowest odd number = (20 – 1) = 19

Option 3 is correct.

• India's longest train run between Dibrugarh - Kanyakumari.
• Vivek Express is the name of the train.
• The running time of 82 hours 45 minutes and there are 56 scheduled stops.
• It passes through eight states of the country.
• It originates in northern Assam and goes all the way to the southern tip of India to Kanyakumari.
• Please note that this train is named after Swami Vivekananda.
• The weekly train schedule was introduced on the occasion of the 150^th birth anniversary of Swami Vivekananda.

The correct answer is Option 3, i.e C.

• The Constitution lays down certain Directive Principles of State Policy, which though not justiciable, are 'fundamental in governance of the country', and it is the duty of the State to apply these principles in making laws.
• Initially, due to the lack of resources and difference in opinion in the Constituent Assembly over the passing of certain Directive Principles, they were made non-justiciable.
• However, time and again, the higher judiciary have called it fundamental in the governance of the country.
• While Fundamental Rights are important for the Political Justice of the Indian citizens, the Directive Principles are important for the Social and Economic Justice of them.
• Hence, from the above paragraph, it can be deduced that Directive principle is liability, which is related to the completion of the state.

Option 1 is correct.

• The Siberian ibex is large and heavily built goats.
• It is also known as the Altai ibex or Gobi ibex.
• Capra Sibirica is its scientific name.
• They are mostly found in Central Asia.
• Please note that it is considered the longest and heaviest member of the genus Capra.

Let, the cost price of a chair be Rs. x and Selling price of a chair be Rs. y

According to the question,

20y = 25x

⇒ y = 5x/4 = 1.25x

We know, Profit percent = (Selling price – Cost price)/Cost price × 100

∴ Profit percentage = (1.25x – x)/x × 100% = 25%

Let, cost price of goods be Rs. 100x

⇒ Marked Price of goods = Rs. (100x + 100x × 20/100) = Rs. 120x

Discount = 5%

⇒ Selling price of goods = 120x – (120x × 5/100) = 120x – 6x = Rs. 114x

We know, Profit percent = (Selling price – Cost price)/Cost price × 100

∴ His final profit = (114x – 100x)/100x × 100% = 14%

Option 4 is correct.

• Swadeshi- Made in India, from materials that have also been produced in India.
• Swadeshi Movement took place between 1905 and 1911.
• It was officially proclaimed as a movement on August 7, 1905, at the Calcutta Town Hall, in Bengal.
• As the Boycott movement was also launched with it, these movements included using goods produced in India and burning British-made goods.
• This movement was decided by Bal Gangadhar Tilak as the British government decided the partition of Bengal.
• This movement was the emphasis on self-reliance or Atmashakti.
• After getting inspired by this, Bengal Chemical Swadeshi Stores, Mohini Mills, and National Tannery, among others were started.

Option 4 is correct.

Key Points

• Electrons are lost in an oxidation reaction.
• Oxidation simply means a gain of oxygen and an oxidizing agent is a substance that oxidizes something.
• The reduction is the gain of electrons. A reducing agent reduces something in a reaction.
• As when one molecule gets reduced, another molecule gets oxidized. Most of the time, Oxidation and Reduction take place simultaneously and such a reaction is called a redox reaction.
• Redox reaction example- In a reaction between hydrogen and fluorine, hydrogen is oxidized and fluorine is reduced.

Option 3 is correct.

• The Masai Mara National Reserve is in Kenya.
• This National Reserve is named in the honor of the Maasai people (ancestral inhabitants of the area).
• The reserve hosts over 95 species of mammals and over 570 recorded species of birds.
• The population of lions, leopards, cheetahs, and elephants is exceptional here.
• This country is in East Africa with a coastline on the Indian Ocean.
• Kenya Capital- Nairobi
• Currency-Kenyan shilling

Given:

Principal, P = Rs. 7500

Number of years, n = 2 years 4 months

Rate of interest, r = 12%

Calculation:

Interest for 1st year = Rs. 7500 × (12/100)

⇒ Rs. 900

Principal for 2nd year = Rs. (7500 + 900)

⇒ Rs. 8400

Interest for 2nd year = Rs. 8400 × (12/100)

⇒ Rs. 1008

Principal for last 4 months = Rs. (8400 + 1008)

⇒ Rs. 9408

Rate of interest for 4 months = (12/3)%

⇒ 4%

Interest for last 4 months = Rs. 9408 × (4/100)

⇒ Rs. 376.32

Total interest = Rs. (900 + 1008 + 376.32)

⇒ Rs. 2284.32 ≈ Rs. 2284

∴ The required compound interest is Rs. 2284

Average marks obtained by the students in Geography = (68 + 65 + 69 + 70)/4 = 272/4 = 68

Average marks obtained by the students in History = (65 + 75 + 70 +65)/4 = 275/4 = 68.75

Average marks obtained in Science is = (80 + 85 + 88 + 87)/4 = 340/4 = 85

Average marks obtained in Maths is = (75 + 80 + 82 + 78)/4 = 315/4 = 78.75

∴ Average marks obtained in Science is higher than that of maths by = 85 – 78.75 = 6.25

Total marks of Shamita in six subject = (75 + 80 + 65 + 68 + 72 + 65) = 425

Total marks of Smita in six subject = (80 + 85 + 75 + 65 + 70 + 70) = 445

Total marks of Shilpa in six subject = (82 + 88 + 70 + 69 + 71 + 70) = 450

Total marks of Sheela in six subject = (78 + 87 + 65 + 70 + 75 + 74) = 449

∴ Shilpa has the highest total marks.

m/n = (cos θ + sin θ) / (sec θ + cosec θ)

$\Rightarrow \frac{{\cos \theta ; + ;\sin \theta }}{{\frac{1}{{\cos \theta }}; + ;\frac{1}{{\sin \theta }}}}$

$\Rightarrow \frac{{\cos \theta ; + ;\sin \theta }}{{\frac{{\sin \theta ; + ;\cos \theta }}{{\cos \theta \sin \theta }}}}$

⇒ sin θ cos θ

M is the son of N and O is the father of N.

P is the father of M.

Clearly N is the wife of P.

Option 1 is correct.

• Sepak Takraw is Kick Volleyball.
• Most often, it is played in countries of Southeast Asia. However, it is said to be originated in Malaysia.
• In this game, players touch and handle the ball using only their feet, knee, chest, and head.
• This game is played by using a rattan or synthetic ball.
• The rules are somewhat similar to the traditional volley ball game.
• This game has been part of the Asian Games since the 11^th edition in Beijing 1990.

Suppose, Z will complete the work in = x days

According to the question,

1/36 + 1/60 + 1/x = 1/18

⇒ 1/x = 1/18 – 1/36 – 1/60

⇒ 1/x = (10 – 5 – 3)/180

⇒ 1/x = 1/90

⇒ x = 90

∴ Z will take 90 days to complete the work

Option 4 is correct.

• The legislative and administrative capital of Sri Lanka is Jayawadenepura Kotte whereas  Colombo deems the commercial center and Judicial, the largest city of Sri Lanka.
• Currency-Sri Lankan rupee
• President- Anura Kumara Dissanayake
• Prime Minister- Harini Amarasuriya (September 2024)
• Sri Lanka is separated from the Indian subcontinent by the Gulf of Mannar and Palk Strait.

$\Rightarrow \frac{{\sin \theta }}{{1 + cos\theta }} + \frac{{1 + cos\theta }}{{sin\theta }}$

$\Rightarrow \frac{{si{n^2}\theta ; + ;{{(1; + ;\cos \theta )}^2}}}{{(1; + ;\cos \theta )\sin \theta }}$

$\Rightarrow \frac{{si{n^2}\theta + 1 + 2\cos \theta + co{s^2}\theta }}{{(1 + \cos \theta )\sin \theta }}$

$\Rightarrow \frac{{2; + ;2cos\theta }}{{\sin \theta (1; + ;\cos \theta )}}$

⇒ 2/sin θ

Option 1 is correct.

• The Panchatantra fables are thought to be composed by Vishnu Sharma.
• It is believed that Vishnu Sharma composed these fables in Kashmir in approximately 200 B.C.
• This ancient Indian collection includes stories of animals and teaches morals of leading a good and selfless life by the conversations between animals.
• The fables are originally written in Sanskrit.
• Some Panchatantra stories are common with Buddhist Jataka tales.
• These tales have been translated into many languages.

Option 2 is correct.

• Operation Shakti was the code name of the nuclear tests conducted by India in Pokhran in 1998.
• Pokhran-II tests, initiated on 11 May 1998, consisted of five detonations.
• The first detonation was a fusion bomb and the remaining four were detonations of fission bombs. The tests were assigned the code- Operation Shakti.
• The five nuclear bombs were designated Shakti-I, Shakti-II, Shakti-III, Shakti-IV, and Shakti-V.
• Please note that four of the devices were weapons-grade plutonium and the other one was Thorium/U-233.
• The development and test teams were led by Bhabha Atomic Research Center and DRDO.

Given assertion (A): Penguins are birds, found in the hottest regions of the earth.

Explanation: Penguins are birds but they are found in the coldest regions of the earth so the given assertion is false.

Given Reason (R): Birds in hot regions do not have wings.

Explanation: The above reason is not true. Birds in hot regions can have wings.

Hence both A and R are false.

Option 3 is correct.

• Anjolie Ela Menon is an Indian Female Artist.
• She is well known for her work with a medium- oil on masonite. She is also a muralist.
• Her work mostly surrounds religious themes, portraits, and nudes incorporating a vibrant color palette.
• Her work named "Yatra" was acquired by the Asian Art Museum of San Francisco, California in 2006.
• She is a recipient of Padma Shree in 2000.

Suppose, the one’s digit = y and ten’s digit = x

⇒ The number = 10x + y

According to the question,

x + y = 9   ----(i)

Also,

(10x + y) + 27 = 10y + x

⇒ 9x – 9y = − 27

⇒ x – y = − 3   ----(ii)

From (i) and (ii) we get,

2x = 6

⇒ x = 3

Now, put value of x in (i),

x + y = 9

⇒ 3 + y = 9

⇒ y = 6

∴ The number = 10 × 3 + 6 = 36

The given series is,

13 (+ 1) 14 (+ 4) 18 (+ 9) 27 (+ 16) 43 (+ 25) 68….

Above series is made by adding the squares of numbers from 1, 2, 3, 4 …….

Hence 43 is the missing number.

Kitty’s mother’s brother is her/his maternal uncle.

Kitty’s maternal uncle’s wife = Aunt

So, their daughters are the nieces of the Kitty’s mother and Kitty’s mother is their Aunt.

Uthara is the one of the daughter of Kitty’s maternal Uncle. So Kitty’s mother is the aunt of her sister.

Let, the other two angle be 9x and 16x respectively.

According to the problem,

55° + 9x + 16x =180°      [as sum of all angles of triangle is 180°]

⇒ 25x = 180 – 55°

⇒ x = 125/25 = 5°

∴ The angles are (9 × 5°) = 45° and (16 × 5°) = 80° respectively.

Alternate solution

We can find correct answer of this question by using options.

Sum of all angles must be 180°.

Hence, 55° + 45° + 80° = 180°     (only option D satisfies)

∴ Option D is correct answer.

Option 2 is correct.

• Atul Dodiya made a series of paintings on Mahatma Gandhi.
• He is considered one of the finest Indian artists of the generation.
• He is known for his Hyper-realist depictions of middle-class Indian life, Series of watercolor paintings depicting marginalized and poor sections of society, for example, a plumber, a scribe, or a painter, etc.
• In 1991, he reconstructed images from a forgotten biography of Mahatma Gandhi. He used watercolors to paint numerous historic events of Gandhi's life.
• He also installed "Broken Branches" made in 2002 inspired by the philosophy of Mahatma Gandhi in Venice Biennale 2019 (art exhibition).

Given:

Total income = Rs. 360000

The income of 2nd week making angle on the pie chart = 120° 

Concept used:

The angle made in the centre of the circle is 360° or by one complete rotation is 360°

Here, Angle made at the centre is equal to Rs 360000

Calculations:

Angle made at the centre is equal to Rs 360000

⇒ 360° = 360000 

⇒ 1° = 360000/360° 

⇒ 120° = 120° × (360000/360°)

⇒ 120000

∴ The income of his 2nd week is Rs 120,000

H – 1 = G

O – 1 = N

U + 6 = A

S + 6 = Y

E – 1 = D

S – 1 = R

So the pattern here is -1, -1, + 6, + 6 ...repeat.

Same pattern will be applied in DIARY

D – 1 = C

I – 1 = H

A + 6 = G

R + 6 = X

Y – 1 = X

Hence the correct option is CHGXX.

Option 3 is correct.

• "Satyameva Jayate" means "Truth alone triumphs".
• It is a part of a mantra from Mundaka Upanishad which is an ancient Hindu scripture.
• This phrase was adopted as the national motto of India on 26 January 1950 following the independence of India.
• This phrase is written in the Devanagari script at the base of the Lion Capital of Ashoka.
• Please note that this phrase along with Indian national emblem is inscribed on one side of all Indian currencies.
• Pandit Madan Mohan Malaviya is accredited to popularise this slogan.

Forward is antonym to Backward.

Hope is antonym to despair.

Love is antonym to Hate.

Anger is synonym to Wrath.

Light is antonym to Dark.

So, “Anger : Wrath” is not having similar relationship as that of other pairs.

Statement:

Religions teach the guiding principles for leading one’s life.

Conclusions:

I. Religion is a way of life.

(The above conclusion logically follows the statement. Religion is an institution to express belief in a divine power)

II. Religion is a teacher.

(Here teacher refers to a living person and religion is not a person, so it is false.)

From the given conclusion only conclusion I is true, so option A is correct.

H₂O : Hydrogen

Here H₂O represents Dihydrogen Monoxide

So it consists of Hydrogen and Oxygen

Similarly, KOH represents Potassium Hydroxide

So it consists of Potassium, Hydrogen and Oxygen

Hence KOH is related to Potassium.

$\frac{9}{{13}} \div \frac{{18}}{{26}} \div \frac{{90}}{{52}}$

$\Rightarrow \frac{9}{{13}} \times \frac{{26}}{{18}} \div \frac{{90}}{{52}}$

⇒ 1 ÷ 90/52

⇒ 52/90

⇒ 26/45

Option 4 is correct.

CONCEPT:

• Temperature: It is the measure of the degree of hotness and coldness of a body.
• The SI unit of temperature is Kelvin (K).
• The various temperature scales commonly used are Celsius (C), Kelvin (K), Fahrenheit (F), and Rankine (Ra).
• Celsius: It has 100 degrees between the freezing and boiling points of water. 
• Here 0° represents the freezing point and 100° represents the boiling point. In many countries, celsius is used to communicate day to day temperatures.
• Fahrenheit: The Fahrenheit scale was proposed by physicist Daniel Gabriel Fahrenheit in 1724. 
• This scale is primarily used in the United States and some Caribbean countries to communicate day to day temperatures.

The temperature T in degrees Fahrenheit (°F) is equal to the temperature T in degrees Celsius (°C) times 9/5 plus 32:

$°F={{9\over5}°C+32}$

CALCULATION:

Given that:

Temperature (T) = 0 °C

Use the above-given formula:

$°F={{9\over5}\times0+32=0+32=32°F}$

EXTRA POINTS:

To convert Celcius into Kelvin scale:

K = C + 273.15

• The temperature which shows the same measurement in Celcius and Fahrenheit scale = -40.
• The temperature which shows the same measurement in Kelvin and Fahrenheit scale = 574.25.

The given word is,

Similarly,

Hence ZEBRA is coded as MROEN.

Option 2 is correct.

• 60 to 100 beats/min is the normal resting heart rate range for adults.
• Anyone who has heart rate at rest on the lower side means that the individual has efficient heart function and better cardiovascular fitness.
• If an athlete is well trained, he may have a normal resting heart rate closer to 40 beats to 60 beats per minute.
• According to the American Heart Association, For children ages 6 to 15, the normal resting heart rate is between 70 and 100 bpm.

As given Q’s father is husband of B’s daughter. So, B is the maternal grandfather of Q. C is the sister of Q and daughter of P (P will either be father or mother of Q).

P is the maternal aunt of D, clearly means that P is female, So P is the mother of Q and daughter of B.

Option 4 is correct.

• Junko Tabei was the first woman to reach the summit of Mt. Everest.
• She was a Japanese mountaineer. She also became the first woman to ascend all the Seven Summits (highest mountains of seven continents) by climbing the highest peak on every continent.
• She was also an environmental activist. She had organized several environmental projects to clean up rubbish/junk left behind by climbers on Mt. Everest.
• She also led annual climbs-up on Mount Fuji for youth affected by the Great East Japan Earthquake.
• Bachendri Pal was the first Indian woman to reach the summit of Mount Everest.
• Premlata Agrawal is the first Indian woman to scale the Seven Summits.
• Arunima Sinha is the world's first female amputee to climb Mount Everest and other peaks.

Link: https://bit.ly/3mpJKaT

We know, M₁D₁/W₁ = M₂D₂/W₂

Let the number of windows required be x

⇒ (6 × 16)/96 = (8 × 4)/x

⇒ x = 8 × 4 = 32

∴ In 4 days 8 carpenters can make = 32 windows

Number of cassettes produced in January = 1858509

⇒ Number of cassettes produced in February = 1858509 + 7623 = 1866132

⇒ Number of cassettes produced in March = 1866132 – 25838 = 1840294

∴ Total production = (1858509 + 1866132 + 1840294) = 5564935

Option 1 is correct.

• In India, Makar Sakranti is the festival of crop harvesting.
• Makar Sakranti is a Hindu festival. It is observed each year in the lunar month of Magha. Magha month corresponds to January as per the Gregorian calendar.
• It either falls on 14 or 15 January.
• It also marks the termination of the Winter season
• Many people pray to the sun, lit bonfires, fly kite, donate to charity, etc on this day.
• It is said that the northward movement of the sun begins from this festival.
• Please note that option 4th might seem correct because kite flying is involved in Makar Sakranti. But it is primarily a festival of harvesting of crop and deems as a traditional time to start harvesting of food grains.

Given statements :

A. Confusion causes mental tension. (Confusion is the reason of mental tension)

B. Mental tension causes anxiety. (Mental tension is the reason of anxiety)

Conclusions:

I. Anxiety is a disease.

(The above statement does not follow because there is nothing mentioned about the disease in the statement)

II. Confusion leads to anxiety.

(Confusion is the cause of mental tension, which causes anxiety so confusion leads anxiety so this conclusion is logically correct).

It is given that,

Mango, lemon and melon are fruits → 4 3 9 5 1 6

Mango and melon are yellow → 0 4 5 1 6

Melon is green → 8 5 7

Here Melon is common in all three sentences and 5 is common in all three coded numbers,

So 5 is the code for Melon.

A + 1 = B, B + 1 = C, C + 1 = D, D + 1 = E

I + 1 = J, J + 1 = K, K + 1 = L, L + 1 = M

Q + 1 = R, R + 1 = S, S + 1 = T, T + 1 = U

Hence the next term is EMU.

Distance covered by Sanjay in 42 minutes = (7 × 42 × 60) = 17640 m

Distance covered by Jacob in 42 minutes = (5 × 42 × 60) = 12600 m

∴ Distance between them = (17640 + 12600) = 30240 m = 30.24 km

Option 4 is correct.

• Afghanistan was decided to be added as a 164th member of the World Trade Organisation in 2015.
• WTO members officially approved the membership at the 10th WTO Ministerial Conference in Nairobi, Kenya, on December 17, 2015.
• Afghanistan’s First Deputy Chief Executive Mohammad Khan Rahmani co-signed the Protocol of Accession with DG Azevêdo.
• Afghanistan had applied for the membership in 2004 was admitted as a member after 11 years of negotiations.
• Liberia became the 163rd member on 14 July 2016, and Afghanistan became the 164th member on 29 July 2016.
• World Trade Organisation operates as a global system of trade rules. it also acts as a forum for negotiating trade agreements and settles trade disputes between its members.
• WTO Members- 164
• Headquarters- Geneva, Switzerland
• Director-General- Roberto Azevêdo

We know, CI = P(1 + R/100)ⁿ – 1 and SI = (P × R × n)/100

Compound interest earned = 5000 × (1 + 8/100)² – 5000 = 5000 × 1.1664 – 5000 = Rs. 832

Simple interest earned = 5000 × 2 × 8/100 = 80000/100 = Rs. 800

∴ Required difference = Rs. (832 – 800) = Rs. 32

⇒ 12 – [26 – {2 + 5 × (6 – 3)}]

⇒ 12 – [26 – {2 + 5 × 3}]

⇒ 12 – [26 – 17]

⇒ 12 – 9

⇒ 3

Let, number of bottles required be x

According to the question,

280 × x = 42 × 1000                [∵ 1 litre = 1000 ml]

⇒ x = 42000/280

⇒ x = 150

∴ 150 bottles will be required

Let, the numbers be x and (x + 2)

We know, HCF of two consecutive even numbers = 2

Also, LCM × HCF = Product of numbers

According to the question,

x × (x + 2) = 144 × 2

⇒ x² + 2x – 288 = 0

⇒ x² + 18x – 16x – 288 = 0

⇒ x(x + 18) – 16(x + 18) = 0

⇒ (x + 18) (x – 16) = 0

⇒ x = - 18 or 16

∴ The numbers are 16 and (16 + 2) = 18

Option 2 is correct.

• The Dibru-Saikhowa, Nameri, and Orang National Park are all found in Assam.
• Dibru-Saikhowa was designated as a Biosphere Reserve in July 1997.
• It is known for rare white-winged wood ducks as well as feral horses. It is also home to many endangered species.
• Nameri National Park is known for being a bird watchers paradise.
• Common Merganser, King Vulture, Long-Billed Ring Plover, Khallej Pheasant, Hill Myna can be easily seen here.
• Orang National Park is known for its Rhino and Tiger population.
• The forest was declared a Wildlife Sanctuary in 1985 and later as a National Park in 1999. It is sometimes called as Mini Kaziranga.
• National Parks and Sanctuaries in Andhra Pradesh- Sri Venkateshwara National Park, Papikondalu National Park, Nagarjunasagar Wildlife Sanctuary, etc
• National Parks and Sanctuaries in Arunachal Pradesh- Namdapha National Park, Pakhui Wildlife Sanctuary, Kane Wildlife Sanctuary, Eaglenest Wildlife Sanctuary, etc.
• National Park and Sanctuaries in Uttrakhand- Nanda Devi Biosphere Reserve, Gangotri National Park, Rajaji National Park, etc.