RRB NTPC Tier I Official Paper (Held On: 30 Mar 2016 Shift 3) (Previous Year Paper)

From the given data,

⇒ (x² – x – 132) = (x² – 12x + 11x – 132)

⇒ x(x – 12) + 11 (x – 12)

⇒ (x + 11)(x – 12)

∴ (x² – x – 132) = (x + 11) (x – 12)

Person who fulfill all the three conditions get selected for the festival.

As we can see only person P fulfill all the three conditions.

Hence, Person P definitely gets selected.

So code for SCARE is !&%$#

1. Rosy likes Yellow and is a Student.

2. Mary and Andy like Purple and Blue respectively and neither of them is a Teacher.

3. Lily likes Brown and the Inspector likes Blue.

4. The Librarian likes Green.

5. One of the five is a Principal. 

Hence, Teacher likes Brown color.

1. Rosy likes Yellow and is a Student.

2. Mary and Andy like Purple and Blue respectively and neither of them is a Teacher.

3. Lily likes Brown and the Inspector likes Blue.

4. The Librarian likes Green.

5. One of the five is a Principal. 

Hence, Mary is the Principal.

1. Rosy likes Yellow and is a Student.

2. Mary and Andy like Purple and Blue respectively and neither of them is a Teacher.

3. Lily likes Brown and the Inspector likes Blue.

4. The Librarian likes Green.

5. One of the five is a Principal. 

All pairs are correct except "Rosy - Teacher".

Hence, "Rosy - Teacher" is wrong pair.

From the given data,

⇒ 1.123 + 11.23 + 112.3 = 124.653

∴ ? = 124.653

From the given data,

Mean = sum of observations/Total observations

Mean of (10, 10, 10, 10, 10) = (10 + 10 + 10 + 10 + 10)/5 = 10

Variance = [∑(x - x̅)²]/(n) 

x = Value of one observation

x̅ = mean value of all the observation

n = The number of observations

Calculations:

Variance = [(10 - 10)² + (10 – 10)² + (10 – 10)² + (10 – 10)² + (10 – 10)²]/(5)

⇒ (0 + 0 + 0 + 0 + 0)/5 = 0/5 = 0

⇒ Standard deviation = √variance = √0 = 0

From the given data,

Cost price of 12 pens = Rs. 120

⇒ Cost price of one pen = 120/12 = Rs. 10

Also, given that selling price of 3 pens = Rs. 35

⇒ Selling price of one pen = 35/3 = Rs. 11.66

Profit on one pen = selling price of one pen – cost price of one pen = 11.66 – 10 = Rs. 1.67

⇒ Profit percentage = (Profit/Cost price) × 100 = (1.67/10) × 100 = 16.67%

Here both words DEPLETE and EXHAUST are synonyms. So we have to choose a synonym for REPLENISH.

REPLENISH means to fill something again.

So, RESTORE is the best synonym for this word.

The Correct Answer is Option 2 i.e A.

Sound is measured in decibels (dB) and Noise above 70 dB over a prolonged period of time may start to damage hearing. 

The height of X is 7 metre;

The height of Y is 3.5 metre;

The height of Z is 21 metre;

A/B ˃ P ˃ Z ˃ X ˃ Y

Here we can’t decide that B is tallest or A.

The average height of X,Y,Z is 7 + 3.5 + 21 = 31.5/3 = 10.5 it is more than 10.

So both conclusions are wrong.

Given

G is twice as fast as S in doing work

Formula used

Total work = Efficiency × Time

Calculation

Let, efficiency of S be 1 unit/day and of G be 2 units/day.

Hence, total work = efficiency × time = 2 × 30 = 60 units

Now, Time taken by both to complete work together = total work/total efficiency = 60/(2 + 1) = 60/3 = 20 days.

We know,

Simple interest = P × T × R/100

Ratio of simple interest earned on certain amount at the rate of 12% p.a for 9 years and that for 12 years = (P × 9 × 12)/100 : (P 12 × 12)/100 = 9 : 12 = 3 : 4

From the given figure,

From ΔBEF, we get

⇒ BF² = BE² + EF²

⇒ 13² = 12² + EF²

⇒ EF² = 13² – 12² = 169 – 144 = 25

⇒ EF = 5 cm

From the figure,

⇒ CD = EF = 5 cm and AB = DE = 15 cm

⇒ CF = CD + DE + EF = 5 + 15 + 5 = 25 cm

Area of the trapezoidal = ½ × BE × (AB + CF) = ½ × 12 (15 + 25) = 240 sq.cm

Here Both the words are synonyms. So we have to choose two synonym words, HYPOTHESIS means our thinking or SUPPOSITION

so option D is perfect answer.

The Correct Answer is Option 4 i.e C.

• The validity of a cheque is estimated to be within a period of three months from the date of its issue.
• With effect from April 1, 2012, the validity period of Cheques, Demand Drafts, Pay Orders, and Banker's Cheques was reduced from 6 months to 3 months, from the date of its issue.
• Post-dated cheque: It is a cheque on which future date is written by the issuer for the payment.
• Outdated cheque: A cheque is outdated when it is outstanding for a period of more than 3 months from the date of issue.

The Correct Answer is Option 2 i.e B.

• The Ganga action plan was launched on 14th January 1986 by Shri Rajeev Gandhi, the then Prime Minister of India.
• The main objective of this plan aims at reducing the pollution on Ganga River.
• The plan was to improve the water quality by Interception, Diversion and treatment of domestic sewage and present toxic and industrial chemical wastes from identified grossly polluting units entering in to the river.

We know that,

Range = maximum value – minimum value = 29 – 16 = 13

Mode = maximum repeated value

∵ 18 is repeated 3 times.

Mode = 18

∴ Range and mode of the given data are 13 and 18

The Correct Answer is Option 3 i.e C.

• Nitrogen is a colorless, odorless gas and is generally considered an inert element.
• It can also be used in food packaging for freezing and preserving.
• Nitrogen constitutes about 78 percent of the air in the atmosphere.
• Nitrogen (N) atomic number is 7

From the given data,

Cost price of the table(C.P) = Rs. 11,000

Selling price of the table(S.P) = Rs. 13,500

⇒ Profit % = (S.P – C.P)/C.P × 100 = (13500 – 11000)/11000 × 100 = 22.7%

The Correct Answer is Option 2 i.e A.

• Shimla Agreement:
• The Shimla Agreement was signed on 2 July 1972 by Prime Minister Indira Gandhi and Pakistani President Zulfikar Ali Bhutto.
• The agreement was signed following a 1971 war between India and Pakistan, which liberated East Pakistan and led to the creation of Bangladesh.
• The agreement was signed in Barnes Court at Shimla, Himachal Pradesh.
• The Barnes Court building has been constructed in the Tudor style of architecture.
• Ellerslie Building:
• Ellerslie is the Himachal Pradesh Secretariat, which is also known as Raj Bhawan.
• The Ellerslie building was designed by Lt. Col. H.E.S. Abbott during the British Empire
• Viceregal Lodge:
• Viceregal Lodge was built between 1886 and 1888.
• It was designed by architect Henry Irwin using local sandstone in the Jacobethan style.
• It was the residence of the British Viceroy Lord Dufferin.
• Gorton Castle: 
• Gorton Castle is a heritage monument located in Shimla. It became the seat of the Accountant General of Himachal Pradesh.
• Gorton Castle was built in 1904 and was designed by Sir Winton Jacob.

From the given data,

⇒ (sinθ + cosθ)² = sin²θ + cos²θ + 2sinθcosθ = 1 + 2cosθsinθ    (∵ sin²θ + cos²θ = 1)

The Correct Answer is Option 3 i.e A.

The Correct Answer is Option 3 i.e C.

CONCEPT:

• Pressure: The pressure is the force applied per unit area in a direction perpendicular to the surface of the object.
• SI unit of pressure is the pascal (Pa).

Pressure (P) = Force (F)/Area (A)

• Work:  Work is measured by the product of force and displacement of the body along the direction of the force.
• SI unit of work is Joule (J).
• Energy: The capacity of doing work by a body is called its energy.
• SI unit of energy is Joule (J).
• Density: Density is the mass per unit volume.
• SI unit of volume is the cubic meter.
• SI unit of density is kilogram per cubic meter (kg/m³).

EXPLANATION:

• Since the force per unit area is called pressure. So pressure is measured in terms of force and area. Hence option 3 is correct.

Numbers from 1 to 100 in which 3 is coming at unit place are 3, 13, 23, 33, 43, 53, 63, 73, 83, 93.

Hence, total numbers are 10.

The Correct Answer is Option 1 i.e A.

• Small Intestine:
• Small intestines are involved in the process of absorption of food and the digestion of food.
• It runs between the stomach and the large intestine.
• The small intestine is longer than the large intestine
• Duodenum, jejunum, and ileum are the three components of the small intestine.
• The small intestine is about 6 meters or 20 feet long.
• Large Intestine:
• The large intestine is much broader than the small intestine
• It is the end part of the intestine and smaller than the small intestine.
• The large intestine is involved in the absorption of water and in the production and absorption of vitamins.
• The large intestine does not involve digestion.
• The large intestine consists of the colon, rectum, and anal canal.
• The large intestine is about 1.5 meters or 5 feet long.

The Correct Answer is Option 4 i.e B.

• Bengaluru:
• Bengaluru is the capital of the Indian state of Karnataka.
• It is commonly referred to as the “Silicon Valley of India”.
• To conduct a detailed study into a disease-causing organism in livestock, Biosafety Laboratory has been set up in India at Bengaluru**.**
• The lab was set up by the National Institute of Veterinary Epidemiology and Disease Informatics (NIVEDI).
• Ludhiana:
• It is the largest district in Punjab
• Ludhiana city was founded during the time of the Lodhi dynasty.
• Anand:
• The city of Anand is located in Gujarat.
• Anand is commonly known as the Milk Capital of India.
• It became famous for Amul dairy and its milk revolution.
• Allahabad:
• It is a city in the Indian state of Uttar Pradesh
• Allahabad has been officially renamed as Prayagraj.
• It is situated at the confluence of three rivers- Ganga, Yamuna and the invisible Saraswati.

A pole is taller than a Giraffe which is taller than a Tree.

POLE ˃ GIRAFFE ˃ TREE

 A Signal is shorter than the pole but taller than a building which is taller than the Giraffe

POLE ˃ SIGNAL ˃  BUILDING ˃ GIRAFFE

Thus, we get

POLE ˃ SIGNAL ˃  BUILDING ˃ GIRAFFE ˃ TREE

Hence, Tree is the shortest thing.

Hence, VI is the missing term in the series

From DNHA we can make HAND, from EDAH we can make HEAD, from THEA we can make HEAT and from IRHA we can make HAIR. Here, HEAT is different from others. Hence, the answer is 'THEA'.

Hence, Harnish is Uncle of Karna.

The Correct Answer is Option 3 i.e B.

• International Maritime Organisation (IMO):
• IMO is the specialized agency of the United Nations
• It is responsible for the safety and security of shipping and the prevention of marine pollution from ships.
• Its Headquarters‎ is in ‎London, United Kingdom.
• Kitack Lim of South Korea is the current secretary-general of IM current secretary-general of IMO.
• Adulteration in food:
• It is the process of adding a few substances which are collectively called the adulterants in order to increase the quantity of food item in raw form or prepared form.
• Adding certain chemicals for faster ripening of fruits, Mixing of clay, pebbles,  sand, and chips, to the grains and pulses are the forms of food adulteration.
• Deforestation: It is the process of clearing large areas of forest lands for various human activities.

From the given data,

Factors of 20 = 1, 2, 4, 5, 10, 20

Factors of 28 = 1, 2, 4, 7, 14, 28

∴ H.C.F = 4

LCM of 20, 28 = 2 × 2 × 5 × 7 = 140

∴ H.C.F and LCM of 20, 28 are 4 and 140.

The Correct Answer is Option 1 i.e C.

• Astrosat:
• ASTROSAT is India's first dedicated multi-wavelength space observatory.
• AstroSat mission enables the simultaneous multi-wavelength observations of various astronomical objects with a single satellite.
• ASTROSAT observes the universe in the optical, Ultraviolet, low and high energy X-ray regions of the electromagnetic spectrum
• It was launched by PSLV-C30.
• Remote sensing satellites:
• IRS-1A was the first of the series of indigenous state-of-art operating remote sensing satellites.
• It was successfully launched into a polar sun-synchronous orbit on March 17, 1988.
• Wetland mapping, Flood risk zone mapping, and flood damage assessment are few applications of remote sensing satellites.
• Communication Satellite:
• Indian First Communication Satellite is APPLE.
• The satellite successfully launched by Ariane-1, from French Guiana on June 19, 1981.
• APPLE was used in several communication experiments including relay of TV programmes, and radio networking.
• Reconnaissance satellite:
• RISAT-2  was the first India Reconnaissance satellite
• It is a Radar Imaging Satellite with the all-weather capability to take images of the earth.
• It was the first dedicated satellite for spying and reconnaissance for military use.

Given:

The distance travelled = 300 m

Time = 2 minutes and 30 seconds

Concept used:

1 minutes = 60 seconds

1 km = 1000 m

1 hour = 3600 seconds

Formula used:

Speed = distance/time

Calculation:

Distance = 300m = 0.3 km

Time = 2 min 30 sec = 150 sec = 150/3600 hour

Speed = distance/time = 0.3/(150/3600)

⇒ (0.3 × 3600)/150

⇒ 36/5

⇒ 7.2 km/hr

All options except option C are same. With chalk we write on slate; With pencil we write on notebook; by using sketch pen we sketch a picture on drawing book; but ink is put in the pen.

The Correct Answer is Option 2 i.e B.

• Gandhi-Irwin Pact was signed between Mahatma Gandhi and Viceroy Lord Irwin in London on 5 March 1931.
• Important features of this pact were:
• INC would agree to discontinue the Civil Disobedience Movement.
• The INC would agree to join the second Round Table Conference
• British would withdraw all orders imposing curbs on the activities of the Indian National Congress.
• British also agreed to withdraw trials relating to several offences except those involving violence.
• British also agreed to release of those who were arrested for participating in the civil disobedience movement.
• It was also agreed that the British would remove the tax on salt, which allowed Indians to produce, trade, and sell salt legally and for their own use.

Calculation:

Let the numbers be x and y

According to the question,

2(x – y) = x + y

⇒ 2x - 2y = x + y

⇒ 2x - x = y + 2y

⇒ x = 3y

Since, one of the number is 15

Case (1): If x = 15, so

x = 3y

⇒ 15 = 3y

⇒ y = 15/3 = 5

Case (2): If y = 15, so

x = 3y = 3 × 15 = 45

Thus, the other number is 5 or 45.

Confusion Points

In the question it is asked to find the other number and other numbers may be 5 or 45

It is not asked about the first number so 15 and 45 is not the correct answer.

Let the three consecutive number be x, x + 1, x + 2

⇒ x + (x + 1) + (x + 2) = 126

⇒ 3x + 3 = 126

⇒ 3x = 123

⇒ x = 41

∴ Highest number = x + 2 = 41 + 2 = 43

Shortcut Trick

Age difference between two people always remains constant → 25 years.

In 5 years, Surya will be twice as old as his son → Ratio = 2 : 1.

Difference in ratio units = 2 − 1 = 1 unit → 25 years.

Surya’s age in 5 years = 2 units × 25 = 50 years.

Surya’s age after 3 years = 50 − 2 = 48 years.

∴ The correct answer is 48 years.

Alternate Method

Given:

Current age difference = 25 years

Condition after 5 years: Surya’s age = 2 × Son’s age

Calculations:

⇒ Let the current age of the son be x years.

⇒ Surya’s current age = x + 25 years.

⇒ After 5 years, Son’s age = x + 5

⇒ After 5 years, Surya’s age = (x + 25) + 5 = x + 30

⇒ According to the problem: x + 30 = 2 × (x + 5)

⇒ x + 30 = 2x + 10

⇒ 2x − x = 30 − 10

⇒ x = 20 years (Son’s current age).

⇒ Surya’s current age = 20 + 25 = 45 years.

⇒ Surya’s age after 3 years = 45 + 3 = 48 years.

∴ The correct answer is 48 years.

Additional Information

Constant Age Difference

The mathematical difference between the ages of two individuals never changes, regardless of how many years pass.

Ratio Property in Ages

When ages are given in ratios for different years, ensure the difference between ratio parts is scaled to match the actual constant age difference.

Linear Equations

Age problems can always be solved by forming a simple linear equation: Age_Future = Age_Present + n years.

The Correct Answer is Option 3 i.e A.

• Bank of Hindustan:
• The Bank of Hindostan (1770-1832), set up by the agency house of Alexander and Company in the year 1770 was the first bank established in India.
• It was no longer exists now.
• Imperial Bank:
• The Imperial Bank was formed in 1921 as a joint-stock bank by amalgamating the Presidency Banks of Bombay, Calcutta, and Madras.
• State Bank of India was created in 1806, in Calcutta, Called the Bank of Calcutta, 
• In 1809 It became the Bank of Bengal when the bank was granted a charter to serve all of Bengal.
• The imperial government by the middle of the century created two more regional banks.
• The Bank of Bombay was created in 1840, and was soon joined by the Bank of Madras in 1843. Together with the Bank of Bengal, they became known as the "presidency" banks.
• Imperial Bank of India was nationalized by the Government of India in the year 1955 with the Reserve Bank of India taking a 60% stake and the name was changed to State Bank of India.
• SBI Bank:
• It is the largest public sector banks in India.
• It began with the establishment of the Bank of Calcutta in Calcutta, on 2 June 1806.
• It was the first-ever joint-stock bank of British India, established under the sponsorship of the Government of Bengal.
• Tagline: "The banker to every Indian".
• Reserve Bank of India:
• The Reserve Bank of India was set up on the basis of the recommendations of the Hilton Young Commission
• The Reserve Bank of India was established on April 1, 1935, in accordance with the provisions of the Reserve Bank of India Act, 1934.
• It acts as a Banker to the Government as well as banker to banks.

Coding according to reverse general alphabetical series.

M = 14, TANK = 7 + 26 + 13 + 16 = 62.

Similarly,

STARDOM = 8 + 7 + 26 + 9 + 23 + 12 + 14 = 99.

Hence, STARDOM will be coded as 99.

We know that,

a : b :: c : x

Then fourth proportional x = (bc)/a

From the given data,

Fourth proportional x = (8 × 12)/3 = 32

Therefore the correct answer is 32.

The Correct Answer is Option 2 i.e B.

• INSAT: 
• Indian National Satellite System launched by ISRO is a series of multipurpose Geo-stationary satellites to satisfy the telecommunications, broadcasting, meteorology, and search and rescue needs of India.​
• GSAT:
• GSAT (Geosynchronous Satellites) satellites are ISRO’s indigenously developed communication satellites.
• GAGAN:
• GAGAN is GPS Aided Geo Augmented Navigation.
• It is a Satellite-Based Augmentation System (SBAS) for the Indian Airspace.
• The objective of GAGAN is to establish, deploy and certify satellite-based augmentation system for safety-of-life civil aviation applications in India.
• SARAL:
• The SARAL is a joint Indo-French satellite mission for oceanographic studies.
• SARAL performs altimetric measurements designed to study ocean circulation and sea surface elevation.
• Its applications include Marine meteorology and sea state forecasting, Operational Oceanography, Seasonal forecasting, Climate monitoring etc.

Forest has been gradually decreased because of increased population. Human cuts the forest and make houses. Many more thing are there to cut trees. Illegal cutting of trees one of the main concerns. So here reason is the best suitable for the given assertion.

From the given data,

Exterior angle = 180° - interior angle = 180° - 108° = 72°

∴ Number of sides = 360°/exterior angle = 360°/72° = 5

∴ It is a pentagon

Alternate Method 

Given that,

Interior angle of a polygon = 108°

The interior angle of  n side regular polygon is given by, $\frac{{\left( {n - 2} \right)180}}{n}$ or $180 - \frac{{360}}{n}$

$\Rightarrow 180 - \frac{{360}}{n} = 108$

⇒ 180n - 360 = 108n

⇒ 72n = 360

⇒ n = 5

∴ It is a pentagon

The Correct Answer is Option 2 i.e D.

• The symbol of Indian Rupee (₹) typifies India's international identity for money transactions and economic strength.
• The symbol is an amalgam of Devanagari "Ra" and the Roman Capital "R" with two parallel horizontal stripes running at the top representing the national flag and also the "equal to" sign.
• The Indian Rupee sign was adopted by the Government of India on 15th July 2010.
• The symbol conceptualized and designed by Udaya Kumar, a post-graduate in Design from the Indian Institute of Technology Bombay.
• Devanagari script is written from left to right.
• Sanskrit is the oldest language known to humans.
• Sanskrit is declared as a classical language in the year 2005

The correct answer is B.

Key Points

• Puducherry:
• On November 1, 1954, the Government of India took over the administration of the territory of the French Establishments in India after the French possessions in India were de facto transferred to the Indian Union.
• N. Rangaswamy is the current  chief minister
• Dr. Tamilisai Soundararajan is the current Lt. Governor.

​

Important Points

• Puducherry, unlike the other options, is NOT an Island group/Archipelago. Hence, Puducherry DOESN'T belongs to the group.

Additional Information

• Lakshadweep:
• It is an archipelago consisting of 36 Islands with an area of 32 sq km.
• It is the smallest union territory of India.
• Lakshadweep was constituted as a union territory in 1956.
• Lakshadweep islands are located in the Arabian sea.
• As these islands are built up by corals, they are called as the Coral Islands of India.
• Dineshwar Sharma is the current  Lt. Governor.
• Kavaratti is the capital is Lakshadweep.
• The Andaman and Nicobar islands:
• It is an archipelago consisting of a group of Islands situated in the Bay of Bengal.
• The Andaman and Nicobars Islands are separated by the Ten Degree Channel.
• Sri Vijaya Puram is the capital of the Andaman and Nicobar Islands.
• Andaman and Nicobars Islands became a Union Territory in 1956.
• Andaman and Nicobar Islands are of tectonic origin.
• Devendra Kumar Joshi is the current Lieutenant Governor.

The Correct Answer is  A.

• ISRO:
• Dr Vikram Sarabhai is considered as the founding father of Indian space programme
• Its vision is to harness space technology for national development while pursuing space science research and planetary exploration.
• Dr. V. Narayan is the present chairman of ISRO.
• ISRO has become the 4th space agency to reach Mars after the United States, the Soviet Union, and the European Space Agency.
• The headquarters of ISRO is located in Bengaluru**.**
• Bengaluru:
• It is the capital of the Indian state of Karnataka.
• It is commonly referred to as the “Silicon Valley of India”.
• New Delhi:
• It was made a Union Territory in 1956.
• Delhi is surrounded on all sides by Haryana except the east, where it borders with Uttar Pradesh.
• New Delhi is situated on the banks of  River Yamuna.
• Pune:
• Pune is located in the state of Maharashtra.
• It is the second-largest city in the state after Mumbai,
• Aga Khan Palace is one of the famous attraction, situated in Pune.
• Mumbai:
• Mumbai is the capital city of Maharashtra.
• The Gateway of India is the most famous monument and Iconic landmark located in Mumbai.
• Devendra Fadnavis is the current CM of Maharashtra.
• C.P. Radhakrishnan is the governor of Maharashtra.

The correct order of words as they would appear in the English dictionary is:

C. Assert

D. Auspicious

B. Austere

​A. Autumn

The correct order is 'C, D, B, A'

Austere will appear 3rd in the dictionary

Hence, the correct answer is 'Option (2)'.

Concept Used:

Calculation:

From the given data,

sinθ = 1/√2

⇒ sinθ = sin45°

⇒ θ = 45°

∴ tanθ + cosθ = tan45° + cos45° = 1 + 1/√2 = (1 + √2)/√2

From the given data,

Mean = (7 + 5 + 5 + 2 + 7 + 6 + 5 + 3 + 7 + 6)/10 = 53/10 = 5.3

Total no of terms = 10

Ordering the numbers: 2, 3, 5, 5, 5, 6, 6, 7, 7, 7

Median = (5^th term + 6^th term)/2 = (5 + 6)/2 = 5.5

∴ Mean and median of the given data are 5.3 and 5.5

The Correct Answer is Option 1 i.e D.

• Vegetable oils are Edible oils extracted from plants.
• Common vegetable oils include soybean oil, sunflower oil, olive oil, and coconut oil.
• Olive Oil, Sunflower Oil, Coconut Oil is rich in Vitamin E and K.
• Cod Liver Oil:
• It is a type of fish oil that is derived from the liver of codfish.
• It is a rich vitamin A and vitamin D.
• The similarity among all the given oils is all of them are oils.

The Correct Answer is Option 2 i.e D.

• Elastin:
• Elastin is a major extra cellular matrix protein.
• It is critical to the coil/stretch and recoil of many vertebrate tissues such as skin, heart, lungs, ligament, tendons.
• Keratin:
• Keratin is the type of protein.
• It exists naturally in hair and nails
• Keratins are best known for providing strength and resilience to cells that form the hair, skin, and nails.
• They are the fibrous proteins that form the structural framework of epithelial cells.
• Albumin:
• Albumin is a protein made by the liver.
• Albumin helps keep fluid in the bloodstream so it doesn't leak into other tissues.
• It also carries various substances throughout the body, including hormones, vitamins, and enzymes.
• Pigment:
• Color to skin, hair, and eyes are due to the Melanin pigment.
• Pigment is a substance which given color to plant or animal tissues.

The Correct Answer is Option 4 i.e D.

• Ladakh:
• Ladakh became a Union Territory on 31st October 2019.
• The Union Territory of Ladakh comprises two districts namely Leh and Kargil.
• R K Mathur is the first Lt Governor of Ladakh.
• The Eastern boundary of Kashmir is the Ladakh region.
• Jammu and Kashmir border Indian states of Punjab and Himachal Pradesh.
• Jammu:
• Jammu is the winter capital of the Indian Union territory of J&K.
• Jammu is the most populous district in the Indian state of Jammu and Kashmir.
• Tawi river flows through the city of Jammu.
• LoC is the military Line of Control between Pakistan occupied Kashmir and Indian Kashmir.
• Pakistan Occupied Kashmir (PoK) is that part of the Jammu and Kashmir (India) which was invaded by Pakistan in 1947.

The Correct Answer is Option 4 i.e C.

• Analgesic:
• They are a class of drugs that are used to relieve pain.
• They are also known as pain killers or pain relievers.
• Aspirin, ibuprofen and paracetamol are examples of Analgesics.
• Antipyretics:
• Antipyretics are used to reduce body temperature in fever.
• Example Aspirin, acetaminophen/paracetamol (Tylenol)
• Paracetamol is known as acetaminophen.
• Paracetamol is a well-known antipyretic and analgesic compound that is used to treat fever and pain.
• Nonsteroidal anti-inflammatory agents (NSAIDs) are a class of drugs that relieve pain and fever and reduce inflammation.

The Correct Answer is Option 4 i.e A.

• Karachi, Pakistan:
• Sachin Tendulkar made his test debut in 1989 against Pakistan in Karachi at the age of sixteen.
• He made 15 runs, being bowled by Waqar Younis, who also made his debut in that match.
• Tendulkar also played his first ODI against Pakistan in Gujranwala on 18 December 1989 and scored 0 runs.
• Karachi is the largest city of Pakistan.
• It is known as the City of Lights for ages.
• Kolkata:
• Kolkata is the capital of  West Bengal.
• Kolkata is the only city in India to have a tram network.
• Calcutta Polo Club, established in 1862 is considered the oldest polo club in the world.
• Melbourne: 
• Melbourne is the coastal city in the Australian state of Victoria.
• National Gallery of Victoria, popularly known as the NGV, is an art museum in Melbourne is Australia's oldest, largest and most visited art museum.
• Mumbai:
• Mumbai is the capital city of Maharashtra.
• The Gateway of India is the most famous monument and Iconic landmark located in Mumbai.
• Devendra Fadnavis is the current CM of Maharashtra.
• C.P. Radhakrishnan is the governor of Maharashtra.

The Correct Answer is Option 4 i.e C.

The Correct Answer is Option 2 i.e B.

• ELISA:
• It is an enzyme-linked immunosorbent assay
• It is a plate-based assay technique designed for detecting and measuring antibodies, hormones, peptides and proteins.
• ELISA test may be used to diagnose HIV, which causes AIDS
• Pap smear:
• It is also called a Pap test.
• It is used to test for cervical cancer in women.
• DNA:
• It is deoxyribonucleic acid.
• It is the hereditary material in humans and almost all other organisms.
• DNA has the shape of the double-helical structure.
• The DNA test is done in order to find or verify ancestral genealogical relationships and also the most commonly to identify whether a person is the biological parent of another individual.
• Mantoux:
• It is also known as the Tuberculin Skin Test (TST).
• It is to determine whether a person is infected with Mycobacterium tuberculosis.

Shortcut Trick

Find the Highest Common Factor (HCF) of the quantities: HCF(32, 24, 16) = 8.

Divide each item by the HCF to get the simplified ratio: 32÷8 = 4, 24÷8 = 3, 16÷8 = 2.

Sum the parts of the ratio to find the total items per set: 4 + 3 + 2 = 9.

∴ The correct answer is 9.

Alternate Method

Given:

Number of pens = 32

Number of pencils = 24

Number of erasers = 16

Formula Used:

To distribute items equally without any leftover, we find the HCF. The value is then determined by the sum of the reduced quantities: Result = (Σ Items) ÷ HCF

Calculations:

⇒ Total items = 32 + 24 + 16 = 72

⇒ Prime factorization of 32 = 2 × 2 × 2 × 2 × 2

⇒ Prime factorization of 24 = 2 × 2 × 2 × 3

⇒ Prime factorization of 16 = 2 × 2 × 2 × 2

⇒ HCF = 2 × 2 × 2 = 8

⇒ Reduced quantities for each item:

⇒ Pens per set = 32 ÷ 8 = 4

⇒ Pencils per set = 24 ÷ 8 = 3

⇒ Erasers per set = 16 ÷ 8 = 2

⇒ Total items in simplified grouping = 4 + 3 + 2 = 9

∴ The correct answer is 9.

Additional Information

HCF (Highest Common Factor)

It is the largest positive integer that divides each of the integers without a remainder. It is also known as the Greatest Common Divisor (GCD).

Ratio Simplification

A ratio is simplified by dividing all terms by their HCF. The sum of these simplified terms often represents the minimum number of items in a representative sample.

Equal Distribution Principle

When dividing multiple different quantities into identical groups with no leftovers, the number of groups is the HCF, and the sum of items per group is (Total Items) ÷ HCF.

The Correct Answer is A.

• Air Quality Index (AQI):  
• AQI is a measure of the changes in air pollution in the atmosphere.
• It is a quantitative measurement of air pollution with the range of 0-500.
• National Air Quality Index (AQI) launched by the Environment Minister.
• National AQI is determined on the basis of concentration of 8 pollutants namely Particulate Matter (PM 2.5, PM 10), sulphur dioxide (SO₂), nitrogen dioxide (NO₂), carbon monoxide (CO), ozone (O₃), ammonia (NH₃) and lead (Pb).
• A Hygrometer is an instrument which is used to measure relative humidity.

The Correct Answer is Option 4 i.e C.

• K.Kamaraj:
• Kamaraj was elected President of the Tamil Nadu Congress Committee in February 1940.
• He became Chief Minister of Madras in 1954.
• He was posthumously honored with India’s highest civilian award, the Bharat Ratna, in 1976.
• Morarji Desai:
• He was the 4th PM (1977-1979) of India.
• He was the second deputy prime minister of India.
• He was the first non-congress Indian Prime Minister
• He is the only Indian who received the highest civilian awards from both India and Pakistan, the Bharat Ratna and Nishaan-e-Pakistan.
• Sardar Vallabhbai Patel:
• He is popularly known as the Iron Man of India.
• The Statue of Unity is built in dedication to Sardar Vallabhbhai Patel.
• He was India’s first Deputy Prime Minister and first Home Minister.
• Since 2014, October 31 is being celebrated as ''National Unity Day'' to commemorate the birth anniversary of Sardar Vallabhbhai Patel.
• C. Rajagopalachari:
• He was popularly known as Rajaji.
• He was independent India's first Indian Governor-General.
• He received Bharat Ratna, the nation’s highest civilian award in the year 1954.
• He was the founder of the Swatantra Party.

Let he covers d₁ km at s₁ km/hr and d₂ km at s₂ km/hr

∴ Average speed = [s₁s₂(d₁ + d₂)]/(s₁d₂ + s₂d₁)

⇒ Average speed = [60 × 40 (40 + 60)]/(60 × 60 + 40 × 40) = 240000/5200 = 46.2 kmph

The Correct Answer is Option 1 i.e D.

• Secularism means freedom of religion and worship.
• The term Secular was added to the preamble by the 42nd amendment.
• Secularism was a part of the basic structure of the Constitution.
• Indian secularism is a positive concept of secularism i.e all the religions of the country have the same status and support from the state.
• Articles 25-28 of the Indian constitution deals with the Fundamental rights of religion.
• Article 25: Freedom of conscience and free profession, practice, and propagation of religion.
• Article 26: Freedom to manage religious affairs.
• Article 27: Freedom as to payment of taxes for promotion of any particular religion.
• Article 28: Freedom as to attendance at religious instruction or religious worship in certain educational institutions.

From the given data,

Total cost of the land = Rs. (18 + 3) lakhs = Rs. 21 lakhs

Selling price of the land = Rs. 24.57

⇒ Profit = selling price - cost price = 24.57 - 21 = Rs. 3.57 lakhs

⇒ Profit percentage = profit/cost price × 100 = 3.57/21 × 100 = 17%

The Correct Answer is Option 3 i.e C.

• National Science Day:
• It is celebrated every year on 28 February to commemorate the discovery of the 'Raman Effect'.
• On this day, Sir C.V. Raman announced the discovery of the 'Raman Effect' for which he was awarded the Nobel Prize in 1930.
• “WOMEN IN SCIENCE” is the theme of the National Science Day (NSD) 2020.
• | Dates and days | Event | | --- | --- | | 4th February | World Cancer Day | | 13th February | World Radio Day | | 26th February | National Pistachio Day | | 27th February | International Polar Bear Day | | 28th February | National Science Day | | 29th February | Commonly referred to as Leap year day |

The train travellers are = 100 + 100 + 50 + 10 + 20 + 50 + 50 = 380

the people who do not travel by train is = 40 + 20 + 100 = 160

The ratio of total number of train travellers to the people who do not travel by train is = 380/160 = 38/16

As seen from the figure there are no people who used modes of transport Car and Cycle both. Therefore, these two modes of transport are mutually exclusive.

People who travel by train also travel by car or bus but not cycle is = 50 + 10 + 20 = 80

The series is as follows,

14 × 1 = 14

14 × 2 = 28

14 × 3 = 42

14 × 4 = 56

14 × 5 = 70

14 × 6 = 84

14 × 7 = 98

∴ Missing term = 14 × 5 = 70

The Correct Answer is Option 1 i.e C.

• One world Trade Center:
• One world Trade Center is the main building of the rebuilt World Trade Center complex in New York after the 9/11 attack.
• The new tower, along with the rest of the World Trade Center complex, replaced the Twin Towers and surrounding complex, which were destroyed by terrorist attacks on September 11, 2001.
• Empire state building:
• Empire state building is located in the centre of Midtown Manhattan, Newyork.
• The Empire State Building was designed by William F. Lamb from the architectural firm Shreve, Lamb and Harmon.

The Correct Answer is Option 2 i.e C.

• Chandigarh:
• It is a Union Territory of India and it was built by famous French architect Le Corbusier.
• Chandigarh capital complex has been added in the UNESCO World Heritage Site List in 2016.
• Chandigarh serves as the joint capital of the two neighbouring states of Haryana and Punjab.
• Rock Garden of Chandigarh, also known as Nek Chand's Rock Garden was named after its founder Nek Chand Saini.
• Srinagar:
• Srinagar is the Summer Capital of the Indian Union territory of J&K.
• River Jhelum passes through Srinagar city.
• Manoj Sinha is the Lieutenant Governor of Jammu and Kashmir.
• Jammu:
• Jammu is the winter capital of the Indian Union territory of J&K.
• Jammu is the most populous district in the Indian state of Jammu and Kashmir.
• Tawi river flows through the city of Jammu.
• Himachal Pradesh:
• Himachal Pradesh shares its borders with Jammu and Kashmir, Punjab, Haryana, Uttar Pradesh, and Uttarakhand.
• Shimla is the capital of Himachal Pradesh.
• Shri Jai Ram Thakur is the current CM of Himachal Pradesh.
• Rajendra Vishwanath Arlekar is the current governor of Himachal Pradesh.
• The key monastery, a Buddhist monastery located in Spiti valley of Himachal Pradesh.

We know that,

(a - b)² = a² - 2ab + b²

⇒ (W - 9)² = W² - 18W + 81

Formula used

Effective rate for 2 years = x + y + (xy)/100

Calculation

Rate = 10% yearly

Hence, rate = 10/2 = 5% half yearly

Now, effective rate = x + y + (xy)/100 = 5 + 5 + (5 × 5)/100 = 10 + 0.25 = 10.25%

Individual letters are given individual codes as follows:

and

Similarly,

The code for 83145419 is FIERY RED.

Hence, B is the correct answer,

The Correct Answer is Option 3 i.e A.

• An input device sends information to a computer system for processing, and the device reproduces or displays the results of that processing is an output device .
• Input devices include Keyboard, Mouse, Scanner, Microphone, Digital Cameras, Webcam, Barcode readers etc.
• Few examples of output devices include Printers, Plotters, Monitor, Speakers, Projectors, Head Phone, etc.

Similarly,

Hence, code for EXPERIENCE will be PIAPCTPYNP

Given:

1$ = Rs. 67.89

Margin added by money changer = Rs 1.11 for each dollar

Concept used:

Whenever 1$ is converted to Rs, the money changer takes Rs 1.11 from that transaction.

Calculation:

So, in actual, after transaction, amount got to the user for 1$ = 67.89 - 1.11 = Rs 66.78

Then, for $150 = 150 × amount for$1 in INR

$150 = 150 × 66.78 = Rs 10,017

∴ The cost of $150 is Rs 10,017.

Given,

Area of a circle = 9π sq.cm

⇒ π × r² = 9π

⇒ r = 3 cm

Also, Circumference = 2π × r = 2 π × 3 = 6π cm

The Correct Answer is Option 4 i.e B.

• Maharatna Status:
• Central public sector enterprises (CPSEs) which are at the higher end of the Navratna category and have the potential to become Indian Multinational Companies (MNCs), can be granted a ‘Maharatna status.
• Bharat Heavy Electricals Limited, Bharat Petroleum Corporation Limited, Coal India Limited, GAIL (India) Limited, Hindustan Petroleum Corporation Limited are the few examples with Maharatna Status.
• Miniratna Status: 
• The CPSEs which have made profits in the last three years continuously and have positive net worth are eligible to be considered for the grant of Miniratna status.
• Bharat Electronics Limited, Container Corporation of India Limited, Engineers India Limited are examples with Miniratna status
• Navratna Status:
• Criteria for grant of Navratna status:-
• The Miniratna Category – I and Schedule ‘A’ CPSEs, which have obtained ‘excellent’ or ‘very good’ rating under the Memorandum of Understanding system in three of the last five years, and have a composite score of 60 or above in the six selected performance parameters, namely,
• (i) net profit to net worth,
• (ii) manpower cost to total cost of production/services,
• (iii) profit before depreciation, interest, and taxes to capital employed,
• (iv) profit before interest and taxes to turnover,
• (v) earning per share and
• (vi) inter-sectoral performance.
• Hindustan Aeronautics Limited,  Power Finance Corporation Limited, Rashtriya Ispat Nigam Limited are examples with Navratna status.

From the given data,

Total books of libraries of L1 and L3 = (500 + 350) + (500 + 450) = 850 + 950 = 1800

Total books of libraries of L2 and L4 = (400 + 400) + (350 + 300) = 800 + 650 = 1450

∴ Ratio of total books of libraries of L1 and L3 to L2 and L4 = 1800 : 1450 = 36 : 29

From the given data,

Total number of fiction books L1, L2, L3 and L4 = (500 + 400 + 500 + 350) = 1750

Total number of non - fiction books L1, L2, L3 and L4 = (350 + 400 + 450 + 300) = 1500

∴ Ratio of total number of non - fiction to fiction books in all libraries = 1500 : 1750 = 6 : 7

Total number of fiction books in libraries L3 and L4 = 500 + 350 = 850

Total number of non fiction books in libraries L3 and L4 = 450 + 300 = 750

∴ Percentage difference = [(850 - 750)/750] × 100 = 13.33%

The Correct Answer is D.

• ASCII stands for American Standard Code for Information Interchange.
• It is the numerical representation of a character.
• It is a character encoding scheme.
• It was created in 1963 by the "American Standards Association" Committee or "ASA".
• For example, ASCII code for character  NUL (null) is 00 and 01 for  SOH (start of heading).

The Correct Answer is Option 1 i.e C.

• Greece:
• The first modern Olympics were held in Athens, Greece, in 1896.
• The Olympic Games were held every four years.
• Paris is to host the 2024 Olympics.
• Athens is the capital of Greece.
• U.K:
• London is the capital of England.
• The 2012 Summer Olympics held in London.
• U.S.A:
• Los Angeles, California, United States will host the 2028 Olympics.
• Washington, D.C is the capital of the US.
• Italy:
• Italy will host the 2026 Winter Olympics.
• Rome is the capital of Italy.

From the given data,

Given that ratio of Rs. 5, Rs. 10 and Rs. 20 are 3 : 2 : 1,

Then the ratio of value of Rs. 5, Rs. 10 and Rs. 20 are 15x : 20x : 20x

Also given that total amount = Rs. 165

⇒ 15x + 20x + 20x = 165

⇒ 55x = 165

⇒ x = 3

∴ Value of currency notes of Rs. 20 denomination = 20x = 20 × 3 = Rs. 60

Concept used:

Convert all the fraction to the decimal form and then compare

Solution:

From the given data,

⇒ 5/4 = 1.25

⇒ 4/3 = 1.33

⇒ 3/2 = 1.5

⇒ 6/5 = 1.2

∴ Highest of all is 3/2 = 1.5

Alternate Method LCM of 5/4, 4/3, 3/2, 6/5 is 60

⇒ 5/4 = 75/60

⇒ 4/3 = 80/60

⇒ 3/2 = 90/60

⇒ 6/5 = 72/60

∴ Highest of all is 90/60 = 3/2.

The Correct Answer is Option 4 i.e C.

• Sundar Pichai:
• Sundar Pichai became the CEO of Google in 2015.
• He is also the CEO of its parent company, Alphabet.
• He was born in Tamil Nadu, India.
• Satya Nadella:
• He became CEO of Microsoft in 2014.
• He was born in Hyderabad.
• Satya Nadella named Fortune Businessperson of the Year for 2019.
• Cyrus Mistry:
• He has been the chairman of Tata groups from 2012-2016.
• He was sixth chairman of Tata Sons and had taken over in 2012 after Ratan Tata.
• Vishal Sikka:
• Dr. Vishal Sikka is the founder and CEO of Vianai Systems, Inc., a startup company that provides advanced software and services in artificial intelligence and machine learning.
• He was the former CEO and Managing Director of Infosys Limited from 2014 to 2017.

The Correct Answer is Option 1 i.e B.

• The Commonwealth Games take place every four years.
• The first Commonwealth Games were held in 1930 in Hamilton, Canada.
• The last country to join the Commonwealth was Rwanda in 2009.
• UK, Birmingham is to host the 2022 Commonwealth Games.

The Correct Answer is Option 3 i.e A.

• India:
• Cricket World Cup 2023 is scheduled to be hosted by India between 9 February 2023 to 26 March 2023
• It will be the 13th edition of the men's Cricket World Cup.
• It is also for the first time that the tournament will be solely hosted by India.
• The Board of Control for Cricket in India is the national governing body for cricket in India

The Correct Answer is Option 1 i.e C.

• Japan launched its first commercial satellite on 24 November 2015 as part of its national space programme.
• Japanese H-IIA rocket successfully launched, carrying the TELSTAR 12V communications and broadcasting satellite for Canadian satellite operator Telesat.
• Russia:
• Sputnik 1 was the world’s first artificial satellite
• It was successfully launched on  Oct. 4, 1957.
• It was the Soviet Union’s first successful satellite.
• India had successfully launched its first commercial satellite in 2007 using Polar Satellite Launch Vehicle (PSLV) carrying Italian satellite AGILE.
• China has launched its first commercial satellite AsiaSat-1  on 7 April 1990.

The Correct Answer is Option 2 i.e D.

• Chandigarh:
• It is a Union Territory of India and it was built by famous French architect Le Corbusier.
• Chandigarh capital complex has been added in the UNESCO World Heritage Site List in 2016.
• Chandigarh serves as the joint capital of the two neighbouring states of Haryana and Punjab.
• Chandigarh and the area surrounding it were constituted as a Union Territory on 1 November 1966.
• Puducherry:
• V. Narayanasam is the current  chief minister
• Kiran Bedi  is the current Lt. Governor
• On November 1, 1954, the French possessions in India were de facto transferred to the Indian Union and Puducherry became a Union Territory.
• Lakshadweep:
• It is an archipelago consisting of 36 islands with an area of 32 sq km.
• It is the smallest union territory of India.
• Kavaratti is the capital is Lakshadweep.
• Lakshwadeep was constituted as a union territory in 1956.
• Sikkim:
• It became a state of India in the year 1975 under the Thirty-sixth Amendment Act, 1975
• Gangtok is the capital, also the largest city of Sikkim.
• It shares a boundary with West Bengal on its south and shares international borders with Bhutan, Nepal, China.
• It is located in the northeastern part of the country.

Given: 17 ÷ 7 – 27 + 7 × 37

Now we will interchange + with ÷ and ÷ with + and × with – and – with × .

So, 17 + 7 × 27 ÷ 7 – 37 (7 is cancelled by the 7)

= 17 + 27 - 37 = 7 

Hence, 'A' is the correct answer.

1 - 7 ÷ 21 - 2 + 2 ÷ 3 × 4 = 4/3