DFCCIL MTS Mock Test - 3 - DFCCIL MTS MCQ

Given:

A shopkeeper buys 1800 kg wheat for Rs.32,400. If 20% of this wheat is spoiled due to rain, at what rate (Rs./kg) should he sell the rest to earn 20%?

Formula used:

Selling Price (SP) = Cost Price (CP) × (1 + Profit Percentage)

Calculation:

Total wheat = 1800 kg

Cost Price (CP) = Rs.32,400

Wheat spoiled = 20% of 1800 kg

⇒ Wheat spoiled = 0.20 × 1800 = 360 kg

Remaining wheat = 1800 - 360 = 1440 kg

Desired Profit = 20%

Selling Price (SP) = CP × (1 + 0.20)

⇒ SP = Rs.32,400 × 1.20

⇒ SP = Rs.38,880

Rate per kg = SP / Remaining wheat

⇒ Rate per kg = Rs.38,880 / 1440 kg

⇒ Rate per kg = Rs.27

∴ The correct answer is option (3).

Given:

The average height of 15 persons in room A = 5.6 feet

The average height of 10 persons in room B = 6.1 feet

Formula Used:

Average =

Calculation:

Sum of height of persons in room A = 15 × 5.6 = 84 feet

Sum of height of persons in room B = 10 × 6.1 = 61 feet

Required average:

= 84 + 61 / 15 + 10

= 145/25

= 5.8 feet

∴ The average height of persons in both the rooms together is 5.8 feet.

Given:

Length of stick = 19√2 cm

Width of box = 5 cm

Height of box = 11 cm

Concept used:

The length of max size stick placed inside the box is equal to the diagonal of the cuboid box.

Formula used:

Length of diagonal of a cuboid = √(l² + b² + h²)

Calculation:

Let the length of the box = 'l' cm

∵ 19√2 = √(l2 + 52 + 112)

On squaring both sides;

⇒ 722 = l2 + 25 + 121

⇒ l2 = 722 - 25 - 121

⇒ l2 = 576 cm²

⇒ l = √576 cm

⇒ l = 24 cm

∴ Length of the box is 24 cm

Given:
Suresh spends 70% of his income
Calculation:
Let Suresh's income be x
Expenditure of Suresh = 0.7x
⇒ Savings = x - 0.7x = 0.3x
Increased income = 1.2x
Increased expenditure = 0.77x
⇒ New savings = 1.2x - 0.77x = 0.43x
⇒ Increase in savings = 0.43x - 0.3x = 0.13x
% Increase in savings = (0.13x/0.3x) × 100 = 43.3
∴ Increase in savings = 43.3%
Alternate Method
Let the Income be 100
Expenses = 70% of 100 = 70
Income - Expenses = Savings
100 - 70 = 30
Savings = 30
Now,
New Income = 100 + 20% of 100 = 120
New Expenses = 70 + 10% of 70 = 77
New Savings = 43
Percentage Change = [(43 - 30)/30] × 100 = 43.33%

Concept used:
A perfect cube is a product of three equal integers.
e.g, 8 = 2 × 2 × 2
Explanation:
⇒ 27 = 3 × 3 × 3 = 3³
⇒ 64 = 4 × 4 × 4 = 4³
⇒ 216 = 6 × 6 × 6 = 6³
⇒ 432 = 6 × 6 × 6 × 2 = 6³ × 2
⇒ this number is not satisfy the condition.
∴ option (4) is correct.

Let the cost price (C.P.) and selling price (S.P.) of the article be 4x and 5x respectively.

⇒ Profit% = [(5x – 4x)/4x] × 100 = 25%

∴ Profit% = 25%

Given:

P = Rs. 25000, R = 20%, T = 1 year

Concept used:

When Calculating semi - annually, rate gets halved and time gets doubled.

Calculation:

R = 10%, T = 2

C.I. = P [(1 + R/100)^T - 1]

⇒ C.I. = 25000[(1 + 10/100)² - 1]

⇒ Total provision = 60 × 35 = 2100

⇒ Provision used in 10 days = 10 × 60 = 600

⇒ Remaining provision = 2100 – 600 = 1500

⇒ Total man who will use the remaining provision = 60 + 15 = 75 men

The correct answer is President of India.Explanation

• The President of India is the supreme commander of the defence forces of India.
• The role of the President as the supreme commander is mostly ceremonial in nature, with the day-to-day operations being handled by the Chief of Army Staff and other officials.
• The Prime Minister of India is the head of the government and has no direct role in the functioning of the defence forces, though they do have a say in policy decisions related to defence.
• The Chief Justice of India is the head of the judiciary and has no role in the functioning of the defence forces.
• The Chief of Army Staff is the highest-ranking officer in the Indian Army, but they do not hold the position of supreme commander.

Other Related Points

• The role of the President as the supreme commander is enshrined in the Indian Constitution, under Article 53.
• The President is also the commander-in-chief of the Indian Armed Forces, which includes the Army, Navy and Air Force.
• The Prime Minister of India is responsible for the overall governance of the country, including matters related to defence policy and strategy.

The correct answer is Option 3.

ExplanationHornbill Festival:

• Hornbill festival is a famous festival celebrated in Nagaland.
  • Hornbill Festival is held at Naga village.
  • It is held every year from 1st December to 10th December,
  • The festival is named after the hornbill bird.
  • All tribes of Nagaland state are taking part in this festival.
  • It is also called the "festival of festivals".
  • Hornbill Festival was celebrated for the first time in 2000.

Sangai Festival:

• The 2019 edition of the Manipur Sangai Festival was organized from 24th to 30th November 2019 in Imphal, the capital city of Manipur.
• The festival is an annual event organized by the Manipur Tourism Department to promote tourism in the state and to showcase the cultural and natural beauty of Manipur.
• The festival is named after the Sangai, which is an endangered species of deer found only in Manipur.
• The festival features a variety of cultural programs, traditional sports, adventure activities, food fairs, and exhibitions.
• The festival also attracts a large number of visitors from India and abroad.
• The 2019 edition of the festival was the 9th edition of the Manipur Sangai Festival.
• The festival was inaugurated by the Union Home Minister, Mr. Amit Shah, and was attended by several other dignitaries from India and abroad.

Flamingo Festival

• Flamingo festival is celebrated every year at the Pulicot lake, Andhra Pradesh.
• It is celebrated near the Nellapattu Bird Sanctuary.
• It is organized during the Winter season for three days.
• It is because it is the time when birds migrated from different places visit these regions.
• Because of this the people can understand and study the biodiversity.

Hemis Festival:

• The Hemis Festival is a traditional religious festival celebrated in Ladakh, a region in northern India.
• This festival has a significant influence from Tibetan Buddhism.
• It is dedicated to Lord Padmasambhava, also known as Guru Rinpoche, who is considered the founder of Tibetan Buddhism in Tibet.
• The Hemis Monastery, where the festival takes place, is one of the most important and largest monasteries in Ladakh and holds great significance in the Tibetan Buddhist tradition.
• The festival usually includes colorful masked dances, rituals, and other cultural performances that are deeply rooted in the Buddhist religious beliefs and practices.

The correct answer is Lonar Lake.

Concept

Lake:

• A lake is a body of water encircled by land developed in the hollow of the land.
• Lakes can arise naturally or through man-made.

Explanation

Crater Lake:

• A body of water contained within a nearly circular, steep-sided volcanic crater or caldera.

Lonar lake:

• Lonar Lake is located in the Maharashtra district of Buldhana.
• During the Pleistocene Epoch, a meteorite impact formed Lonar lake.
• It's considered a crater lake.
• It is the world's third natural saltwater lake.

Thus, Lonar lake is an example of 'Crater Lake.

Other Related Points

Nainital:

• Nainital Lake is a natural freshwater body in the Indian state of Uttarakhand.
• It has tectonic origins.

Tso Moriri:

• Tso Moriri, also known as Lake Moriri, is a lake in Ladakh's Changthang Plateau.
• It is the world's highest Ramsar site.

Asthamudi Lake:

• Ashtamudi Lake is located in the Kollam District of Kerala, India.
• The lake is also known as the "Gateway to Kerala's Backwaters."

The correct answer is Gujarat, Narmada.

Explanation

• On the Indian Narmada River, the Sardar Sarovar Dam (SSD) is located in the village of Kevadia in Gujarat.
• It is one of the country's largest and most contentious multipurpose river valley infrastructure development projects.
• Auxiliary works including a 1,450MW power complex are also part of the Sardar Sarovar Project (SSP).
• In 2010-2011, SSP was expected to have cost INR400 billion, up from an initial estimate of INR64 billion in 1988.
• It is part of the Narmada Valley Development Project, a large-scale project to generate electricity and provide drinking and irrigation water to the states of Gujarat, Madhya Pradesh, and Maharashtra.

Important Points

• The Narmada River is India's fifth longest river, the largest west-flowing river, and the largest flowing river in Madhya Pradesh.
• The Madhya Pradesh and Gujarat states of India share this river.
• Because of its various contributions to the states of Madhya Pradesh and Gujarat, it is also known as "Madhya Pradesh and Gujarat's Lifeline."

The correct answer is Ibn Battuta.

Explanation

• Ibn Battuta was a Moorish wanderer who came to India during Muhammad bin Tughlaq's rule.
• His book Rehla (The Travelogue) sheds a lot of light on Muhammad-bin-reign Tughlaq's as well as India's geographical, economic, and social situations. He was named Delhi's chief Qazi.
• Ibn Battuta was an Arabized Berber Maghrebi scholar and explorer who travelled extensively in Afro-Eurasia, primarily in the Muslim world, covering more distance than any other explorer in pre-modern history, totalling around 117,000 kilometres, surpassing Zheng He's 50,000 kilometres and Marco Polo's 24,000 kilometres.
• From 1325 to 1351, Mohammad ibn Tughlaq was the Sultan of Delhi.

Important Points

• Between 1271 and 1295, Marco Emilio Polo, a Venetian merchant, explorer, and writer, travelled through Asia on the Silk Road.
• Al-Masudi was an Arab traveller, historian, and geographer.
• During the early 15th century, Niccol de' Conti visited India and Southeast Asia, as well as potentially Southern China.

The correct answer is "Plastids".

Explanation

• Plastids are the molecular organelles observed in all plant cells.
• They undergo a few particular pigments, supplying particular colors to the plants.
• Three kinds of plastids are:
  • ​Chloroplast - contains Chlorophyll (green pigment)
  • Chromoplast - contains Carotenoid (Red, yellow, and orange pigment)
  • Leucoplast - contains colorless plastid, mainly stores foodstuff in a plant cell.

Other Related Points

Lysosomes:

• ​Lysosomes are small sac-like systems surrounded by the aid of using an unmarried membrane and containing robust digestive enzymes.
• The lysosomes are also known as the suicide bag of the cell.

Mitochondria:

• The mitochondria are tube-like organelles that are surrounded by a double membrane, with the inner membrane being highly folded.
• The mitochondria are regularly called the "powerhouse" of the cell.

Vacuoles:

• Vacuoles are organelles of plant, fungal and algal cells.
• They are part of the internal membrane system and are separated from the rest of the cytoplasm by a tonoplast membrane.
• Vacuoles play crucial roles in cell expansion, serve as storage compartments for nutrients, and function as lytic organelles that contain digestive enzymes.

The correct answer is Sodium carbonate.

Explanation

• Washing soda is a chemical compound with the formula Na₂CO₃, known as sodium carbonate, and it's a salt of carbonic acid.
• Properties of a Washing soda:
  • It is a transparent crystalline solid.
  • It is one of the few metal carbonates which are soluble in water.
  • It is alkaline with a pH level of 11, it turns red litmus to blue.
  • It has detergent properties or cleansing properties because it can remove dirt and grease from dirty clothes, etc.
  • It attacks dirt and grease to form water-soluble products, which are then washed away on rinsing with water.

Important Points

Some common chemical compounds with their common names are:

Concept:

• Acceleration achieved by any object due to the gravitational force of attraction by any planet is called acceleration due to gravity by that planet.
• 
• Where, G = universal gravitational constant = 6.67 × 10^-11Nm²/kg², M = mass of the planet, r = radius or distance from the center of that planet.
• As each planet has a different mass and radius so the acceleration due to gravity will be different for different planets.
• Weight is a measure of how heavy a person or object it.
• W = mg
• Where, m = mass of the object, g = acceleration due to gravity by that planet.

Calculation:

Let the mass of the earth is M and the radius is r,

Then the acceleration due to gravity is equal to,

And weight, W = mg =

Now, the mass of the planet M' = and the radius, r' =

Then the acceleration due to gravity is equal to

And weight, W' = mg' = = 2W

The correct answer is 66.67.

Explanation

Family Chart:

Explanation

Statement I: Y and Z are children of D, who is the wife of X.

Here X is father of Y.

Statement II: R's sister X is married to Y's father.

Here X is mother of Y.

Thus, either the I or Il statements are sufficient to answer the question.

Hence, the correct answer is 'Option 1'.

The least possible venn diagram is shown below,

Conclusions:

I. No camera is magazine → False (No magazine is cap, and all caps are cameras implies that some cameras which are not cap can be magazine. This is possible but not definite).

II. Some cameras are magazines → False (No magazine is cap, and all caps are cameras implies that some cameras which are not cap can be magazine. This is possible but not definite).

Here, we can see that both conclusions are complementary to each other.

Hence, the correct answer is "Either conclusion I or II follows".

The logic followed here is:

HIM' means 936,

'CAM' means 39,

Similarly, the code for 'MAP'

Hence, the correct answer is "208".

The logic followed here is,

Hence, the correct answer is "BCHS".

Reverse dictionary order:

Overmix

Overlap

Opaque

Opacify

Object

Given Equation: 342 A 2 C 125 B 1 D 43 = ?

BODMAS Rule:

Decoding the given information:

Now replacing the sign from left to right using BODMAS Rule, we get:

⇒ 342 ÷ 2 + 125 × 1 - 43 = ?

⇒ 171 + 125 × 1 - 43 = ?

⇒ 171 + 125 - 43 = ?

⇒ 296 - 43 = 253.

Hence, the correct option is "Option 1".

The actors who can sing and dance are mentioned below in highlighted area-

Here, Total actors who can sing and dance are 13.
Hence, Option (1) is correct answer.

1. "I love Mangoes" is written as 'E la mange'.

• Here, there are 3 possible codes for "Mangoes" - E or la or mange. Therefore, statement 1 alone is not sufficient and option 1 is wrong.

2. 'I love Orange' is written as 'E la orage'.

• No information is given about the code of "Mangoes". Therefore, statement 2 alone is not sufficient and option 4 is wrong.
• From statements 1 and 2, we get the following:

• Therefore, the code of "Mangoes" is "mange".
• So, statements 1 and 2 together are sufficient.

Hence, "option 3" is the correct answer.

Given:
(left) 158 518 182 305 510 (right)
The second smallest number is: 182
The third digit of the second smallest number is: 2 (182)
The largest number is: 518
The first digit of the largest number is: 5 (518)
So, the addition of the third digit of the second smallest number and the first digit of the largest number is:
→ 2 + 5 = 7.
The correct answer is "Option 2".

Given:
Five friends L, M, N, O, and P travel from Adelaide individually to five cities i.e. Sydney, Melbourne, Brisbane, Perth, and Gold Coast. By different means i.e. Ferry, Autorickshaw, bus, car, train.
1) N travelled to Brisbane by bus and O travelled by car.

2) M travelled by autorickshaw to Melbourne and P travelled by train.

3) Perth and Gold Coast are not connected by the Ferry route with Adelaide.

4) The one who travelled to the Gold Coast did not use a car.
After positioning Gold Coast only position is left in the city which will be occupied by the only city left i.e. Sydney.

Thus, according to the final arrangement P travelled to Gold Coast.
Hence, "Option 4" is the correct answer.

The image embedded in the given figure is as shown below:

∴ Here, the given figure is embedded in Option Figure 1.
Hence, the correct answer is "Option 1".

• 7.925 meters is the recommended track center spacing between the Dedicated Freight Corridor (DFC) and existing Indian Railways (IR) tracks.
• The track centers are set at 6.0 meters on the DFC and a minimum of 6.0 meters with a recommended 7.925 meters spacing between existing Indian Railways tracks and the DFC.

Other Related Points

• Railway maintenance practices are changing. Instead of reacting to issues as they arise, there's a shift towards predicting and preventing problems. This means using advanced machinery to minimize human work on the tracks. For new railways like the DFC, they're designed to require less maintenance from the start. The Ministry of Railways is investing in better assets, like stronger trains and communication systems, to ensure they last longer and cost less to maintain. The key design parameters for the DFC set by the ministry include higher axle load, more efficient trains, and advanced communication systems. This all adds up to a more efficient and cost-effective railway system.
• Some of the key parameters are given below-
  • Axle Load: The DFC is designed to support heavy loads, with a standard axle load capacity of 32.5 tonnes for bridges and the track structure initially starting at 25 tonnes.
  • Traction: Electric traction is used, with a power supply of 2x25 kilovolts at 50 hertz in single-phase AC.
  • Speed: The DFC allows for faster train speeds, with a maximum permissible speed of 100 kilometers per hour and an average speed ranging from 60 to 65 kilometers per hour.
  • RollingStock: The locomotives used on the DFC are powerful, with options of 9000 HP and 12000 HP, and the freight wagons are designed to carry loads with a 25-ton axle load.
  • Double Stack Trains: Double-stacked container trains are operated on the Western Corridor, maximizing freight capacity.
  • Track: The track structure includes 60-kilogram rails, UIC/90 UTS rails, Pre-Stressed Concrete (PSC) sleepers, and a track density of 1660 rail lines per kilometer.
  • Points and Crossings: The rail network is equipped with sturdy 60-kilogram rails and switches designed with a 1 in 12 thick web.
  • Ballast: A cushion of 300 to 350 millimeters is provided for the track ballast.
  • Gradient: The rail gradient is maintained at 1 in 200, with compensation.
  • Curves: The DFC features gentle curves with a maximum degree of curvature of 2.5 degrees, allowing trains to maintain high speeds.
  • Formation: The rail formation includes double-line tracks with a width of 13.5 meters and single-line tracks with a width of 7.6 meters. The embankment slopes are maintained at a 2:1 ratio, and blanket thickness follows RDSO GE:0014 specifications.
  • Moving Dimensions: Vertical Moving Dimensions (MMD) are 7.1 meters on the Western Corridor and 5.1 meters on the Eastern Corridor.
  • Bridges: Bridges are designed to handle a standard axle load of 32.5 tonnes and a trailing load of 12 tonnes per meter.
  • Loop Length: Normal loop lengths are 750 meters, allowing long-haul trains to use nominated loops of 1500 meters at Junction Stations.
  • Signaling: Signaling on the DFC includes Automatic Block with Multiple Aspect Colour Light Signaling (MACLS) on double lines. On single lines, Absolute Block signaling is used, with stations spaced approximately 10 kilometers apart.
  • Station Spacing: Stations on the DFC are spaced 40 kilometers apart on double lines and 10 kilometers apart on single lines.
  • JunctionStations: The Western DFC has 17 Junction Stations, while the Eastern DFC has 25 Junction Stations.These design parameters ensure the DFC's efficiency in handling heavy freight traffic at higher speeds.

The correct answer is the Secunderabad.

• Secunderabad railway station has received the green Platinum rating in September 2019.

Explanation

• The biggest rail hub in the twin cities of Hyderabad and Secunderabad.
• Secunderabad junction station is the first Indian Railways station to be awarded a green ‘Platinum rating’ by the Indian Green Building Council (IGBC), Confederation of Indian Industries (CII).
• The biggest rail hub is the first Indian Railway to be awarded so.
• The green station has achieved this feat with its several energy conservation initiatives and inclusion of modern passenger amenities.
• The station falls under the Secunderabad division of the South Central Railways (SCR) zone and is influenced by the historical Nizamesque architecture.
• The station building resembles a fort and is also one of the tourist attractions in the city.
• Secunderabad junction is a major intercity railway station and a commuter rail hub in Hyderabad.

Other Related Points

• Secunderabad is the twin city of Hyderabad in the Indian state of Telangana.
  • Named after Sikandar Jah, the third Nizam of the Asaf Jahi dynasty, Secunderabad was established in 1806 as a British cantonment.
• Coimbatore is a city in the south Indian state of Tamil Nadu.
  • To the northwest is the centuries-old, Dravidian-style Arulmigu Subramaniyaswami Temple, Marudamalai.
• ​​New Delhi is the capital of India and an administrative district of the National Capital Territory of Delhi.
  • New Delhi is the seat of all three branches of the government of India, hosting the Rashtrapati Bhavan, Parliament House, and the Supreme Court of India.
• Mumbai (formerly called Bombay) is a densely populated city on India’s west coast.
  • A financial center, it's India's largest city.
  • On the Mumbai Harbour waterfront stands the iconic Gateway of India stone arch, built by the British Raj in 1924.