DFCCIL MTS Mock Test - 2 - DFCCIL MTS MCQ

Given:

Total amount = Rs.1368

Ratio of division = 5 : 3

Calculation:

Let the amount is divided as 5x and 3x.

⇒ 5x + 3x = 1368

⇒ 8x = 1368

⇒ x = 1368/8 = 171

⇒ Greater part = 5x = 5 × 171 = Rs.855

Therefore, the greater part is Rs. 855.00.

Hence, the correct answer is option 4).

Given:

Radius of a sphere is increased by 10%.

Concept:

Volume of a sphere is directly proportional to the cube of the radius of the sphere.

Formula Used:

Volume of sphere = 4/3 × πR³

Calculation:

Suppose the radius of sphere = R cm

⇒ Increased radius of sphere = 1.1R cm

Increment in volume = [4/3 × π(1.1R)³ – 4/3 × πR³] = 4/3 × (0.331πR³)

∴ Percentage Increment in volume = [4/3 × (0.331πR³)] / [4/3πR³] × 100

= 33.1%

Shortcut Trick

Formula for successive percentage Increment of a% = (a + a + a²/100)

⇒ 10 + 10 + 100/100 = 21%

And

21 + 10 + 210/100 = 33.1%

∴ Percentage Increment in Volume = 33.1%

Given:

a and b are co-prime numbers

Calculation:

Common factor of a and b is 1 because they are co-prime numbers.

HCF = 1

∴ If a and b are co-prime numbers then HCF is 1

The correct option is 1.

Given:
ΔABC ~ ΔPQR
Area of ΔABC = 64 cm²
Area of ΔPQR = 81 cm²
PT = 10.8 cm
AD is the median of ΔABC.
PT is the median of ΔPQR
Concept:

The ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding sides & medians.

=

Calculation:

=

⇒ =

⇒​ = =

⇒​ =

⇒​ AD = = 9.6 cm

∴ AD = 9.6 cm

The numerator and the denominator can solved with the help two sets of rules as follows:

Numerator:

We can apply the formula: a² - b² = (a + b)(a - b)

⇒ (7.5)² - (2.5)²

⇒ (7.5 + 2.5)(7.5 - 2.5)

⇒ 10 × 5 = 50

Denominator:

We can apply the distribution law in this as: (a × c + b × c) = (a + b) × c

⇒ 7.5 × 2.5 + 2.5 × 2.5

⇒ (7.5 + 2.5) × 2.5

⇒ (10) × 2.5 = 25

Thus now we have the new form as,

= 2

Given:

One pipe can fill a tank three times as fast as another pipe, and together they can fill the tank in 36 minutes.

Concept:

Efficiency is inversely proportional to the time taken.

Total work = Efficiency × time

Calculation:

Ratio of efficiency of two pipes = 3 : 1

Total work = (3 + 1) × 36

⇒ 4 × 36 = 144

Time taken by slower pipe alone = 144/1

⇒ 144 min

Given:
After subtracting 5 from the greatest number and 7 from the smallest number, then the ratio is 3 ∶ 1
Also, the sum of the numbers is 24
Concept Used:
A ratio indicates how many times one number contains another.
Calculation:
Let the numbers be x and y respectively
∴ x + y = 24 ----(1)
Also, when subtraction of 5 from the greatest number and subtraction of 7 from the smallest number, then the ratio is 3 ∶ 1
So,
⇒ 1 × (x - 5) = 3 × (y - 7)
⇒ x - 5 = 3y - 21
⇒ x - 3y = -16 (2)
Solving equation (1) and (2), we get
x = 14 and y = 10
The greater number = 14
∴ The greater number is 14.
Alternate Method
5 and 7 is subtracted from both numbers. It means 12 subtracted from the total and the total is 24.
The new after subtraction = 24 - 5 - 7 = 12
(3 + 1) units = 12
⇒ 1 unit = 3
Bigger number = 3 unit + 5(It is subtracted before)
⇒ 3 × 3 + 5
⇒ 14
∴ The greater number is 14.

Given:
Sum of the measure of the interior angles of a polygon is 1620°.
Formula Used:
Sum of interior angles of a polygon = (n – 2) × 180°
Where n is the number of sides.
Calculation:
Applying the formula:
1620° = (n – 2) × 180°
⇒ (n – 2) = 1620°/180°
⇒ (n – 2) = 9
⇒ n = 11
Hence,
Number of sides = 11

Given:

Height of cylinder = 10 cm

Curved surface area of cylinder = 440 cm²

Formula:

Curved surface area of cylinder = 2πrh

Calculation:

According to the question

2πrh = 440

⇒ 2 × (22/7) × r × 10 = 440

⇒ r = 440 × (7/440)

⇒ r = 7 cm

∴ Diameter of cylinder is = 2 × 7 = 14 cm

Given:

Number = 1452058

Calculation:

Place value of first 5 = 5 × 10000 = 50000

Place value of last 5 = 5 × 10 = 50

Difference between the place values = 50000 - 50 = 49950.

∴ The required difference is 49950.

The correct answer is Karanataka.

Explanation

• Pandit Bhimsen Gururaj Joshi: ​
  • He was an Indian Vocalist from Karanataka, in the Hindustani Classical tradition.
  • He was well known for his renditions of devotional music.
  • He belongs to the Kirana Gharana tradition of Hindustani Classical Music.
  • He was awarded the highest civilian award of India 'Bharat Ratna' in 2008
• Hindustani Classical Tradition:​
  • Hindustani Classical Tradition also Known as North Indian Classical Music or Shastriya Sangeet.
  • The National anthem of India, Jana Gana Mana, is classified as Hindustani Classical Music.

Other Related Points

The correct answer is Directive Principles of State Policy.

Explanation

Directive Principles of state policy are about establishing social and economic democracy in the state.

• These are some basic principles or instructions or guidelines for the government while formulating laws/policies of the country and in executing them.
• Directive Principles aim at the establishment of welfare states.
• Indian Constitution Part IV tells about DPSP.
• The concept of DPSP is taken from Irish Constitution
• It is not justiciable in court.
• Dr. B.R Ambedkar called it "the novel feature of Indian Constitution".

Other Related Points

• Fundamental rights are the basic human rights enshrined in the constitution of India in Part III
  • Fundamental rights are justiciable in court.
  • The idea of fundamental rights taken from the US constitution
• The idea of Fundamental Duties is inspired by the Constitution of Russia.
  • These were incorporated in Part IV-A of the Constitution by the 42nd Constitutional Amendment Act, 1976 on the recommendations of the Swaran Singh Committee.
  • Originally 10 in number, one more duty was added through the 86th Constitutional Amendment Act, 2002. All the eleven duties are listed in Article 51-A of the Constitution (the sole Article in Part-IV-A).
  • However, like the Directive Principles, the duties are also non-justiciable in nature.
• The Preamble was taken from the US constitution
  • Source of the authority of the constitution: It derives its authority from the people of India
  • Nature of Indian state: It declares India to be a sovereign, socialistic, secular democratic, and republican polity
  • Objectives of the constitution: It specifies justice, liberty, equality, and fraternity as the objectives
  • Date of adoption: Nov 26th, 1949.

The correct answer is Lignite.

Explanation

• Lignite
  • Lignite coal, often known as brown coal, is the lowest grade of coal with the lowest carbon content.
  • It is mostly employed in energy generation due to its low heating value and high moisture content.
• ​Bituminous
  • Bituminous coal is a coal that falls in between sub-bituminous and anthracite in terms of rank.
  • Bituminous coal has a high heating value (Btu) and is utilized in the United States for electricity generation and steel production.
  • When first encountering bituminous coal, it appears blocky and shiny, and smooth, but closer inspection reveals thin, alternating, shiny, and dull layers.
• ​ Anthracite
  • The highest rank of coal.
  • It is a hard, brittle, black glossy coal with a high percentage of fixed carbon and a low percentage of volatile matter, sometimes referred to as hard coal.
• ​Peat
  • ​Peat is a precursor of coal.
  • Peat is a soft, organic substance made up of partially decomposed plant and mineral materials.
  • Peat undergoes physical and chemical changes (coalification) to become coal when it is exposed to high pressure and heat.

The correct answer is Aravalli Hills.

Explanation

• Aravallis:
  • They are one of the oldest fold mountains of the world.
  • Aravallis are aligned in north-east to the south-west direction and stretches through the states of Delhi, Haryana, Rajasthan and Gujarat.
  • Aravalli is 700 kilometers-long mountain range that starts from India's western state of Gujarat.
  • The Aravalli Range is an eroded stub of ancient mountains.
  • The highest peak is Guru Shikhar which is elevated at 1,722 metres.

Important Points

• Fold mountains are formed when two of Earth's tectonic plates are pushed together within the earth's upper crust.
• There are two types of fold mountains: young fold mountains and Old fold mountains e.g. of the USA.
  • Young Fold mountains:
    • They are of recent origin.
    • They are higher than the old fold mountains.
    • Examples include the Rocky Mountains, Andes and Himalayas.
  • Old fold mountains:
    • They have formed years ago.
    • They are lower than the young fold mountains.
    • These have gentle slopes.
    • The Ural Mountains, Aravali ranges and Appalachians are examples of old fold mountains.
• The three parallel ranges of the Himalayas longitudinal extent are:
  • Himadri (Great or Inner Himalayas):
    • The northernmost range is called the Himadri and extends for about 2400 km.
    • Mt. Everest and Mt. Kanchenjunga are a part of these ranges.
  • Himachal (Lesser Himalayas):
    • It lies to the south of Himadri.
    • Some famous ranges are the Pir Panjal range, Dhaula Dhar and Mahabharat ranges.
    • It has some famous valleys like Kullu, Kangra and Kashmir.
  • Shivalik (Outer Himalayas):
    • This is the outermost range of the Himalayas.
    • Shivaliks are known by different names in different areas such as Dafla, Miri, Abor and Mishmi Hills in Arunachal Pradesh.

Other Related Points

• Western Ghats:
  • Western Ghats range extends from river Tapti in Maharashtra in the north to Kanyakumari in the south.
  • The Western Ghats are known as Sahyadri in northern Maharashtra, Sahya Parvatham in Kerala and Nilagiri Malai in Tamil Nadu.
  • The Western Ghats runs through six states i.e Gujarat, Maharashtra, Goa, Karnataka, Tamil Nadu, Kerala and two Union Territories i.e Dadra & Nagar Haveli and Pondicherry.
  • Anamudi in Kerala is the highest peak in the Western Ghats and is located on the Anaimalai hills.
  • The Western Ghats and the Eastern Ghats are connected at Biligirirangan Hills in Karnataka.
  • The meeting point of the Eastern Ghats and the Western Ghats is the Nilgiri plateau.
• The Eastern Ghats are a discontinuous range of mountains along India's eastern coast.
  • The Eastern Ghats spread over the states of Odisha, Andhra Pradesh, Telangana, Karnataka and Tamil Nadu.

The correct answer is -Influenza.

Explanation

Influenza:

• The flu is a popular name for a respiratory illness caused by influenza viruses.
• Symptoms vary from moderate to severe and commonly
  • include fever,
  • runny nose,
  • sore throat,
  • muscular discomfort,
  • headache,
  • coughing, and
  • exhaustion.
• In youngsters, this most often manifests as diarrhea and vomiting.
• There are four recognized strains A, B, C, and D influenza viruses
• IAV, or influenza A virus, is present in various animals, including humans and pigs.
• Humans are the primary hosts for Influenza A (HAV), Influenza B (IAV), and Influenza C (ICV) viruses.
• Whereas cattle and swine are the natural hosts for Influenza D (IDV).
• Seasonal epidemics caused by IAV and IBV circulate among people, whereas ICV infects youngsters mildly.

Other Related Points

Pneumonia:

• It is an infection of the alveoli, the air sacs in the lungs.
• Symptoms may include a
  • productive or dry cough,
  • chest discomfort,
  • fever, and
  • trouble breathing.
• Both viruses and bacteria are capable of causing, it, however, Streptococcus pneumoniae is the most common bacterial culprit.
• For those who have compromised immune systems, this condition is common.

Typhoid:

• Salmonella serotype Typhi is the causative agent of typhoid.
• Depending on the severity, symptoms might appear anywhere from six hours to thirty days following exposure.
• In many cases, a high fever develops gradually over a few days.
• Typhoid occurs when one consumes either food or water tainted with an infected individual's stool.
• Polluted water and a lack of proper hygiene are other potential dangers.

Diphtheria:

• Corynebacterium diphtheriae is the causative agent of diphtheria infection.
• The majority of illnesses cause no symptoms and progress very slowly.
• Typical early symptoms include a high temperature and a sore throat.
• Transmission of diphtheria often occurs via close personal contact or by breathing contaminated air.
• Contaminated items may potentially play a role in the disease's transmission.

The correct answer is Alloy of lead and tin.

Explanation

• Fuse is a protecting device used to save from the overcurrent in an electrical circuit.
  • The wire used in electric Instruments is made up of an alloy of lead and tin.
  • It will cuts off when a high current flows through the wire.
  • Fuse is connected in the live wire to avoid overloading.
  • It is characterized by high resistance and low melting point.
  • Electric fittings are earthed to prevent electric shock.

Important Points

• Fuse resistance is a comparable thing, fuse has low resistance with comparison to the load resistance of the circuit but has high resistance when compared to the wire of the same length.
• Thus when asked whether a fuse has high resistance or low resistance, we should answer that a fuse has high resistance with a low melting point.

Explanation

• Mosley gave the modern Long form of Periodic table where the base of classification was the atomic number.
• According to Mosley's modern periodic law, the physical and chemical properties of elements are periodic functions of their Atomic number.

• In the long-form periodic table, horizontal rows are called Periods and vertical rows are called groups.
• In the long-form periodic table, Period 1 has two elements Hydrogen (H) and Helium (He).
• There are seven periods in the periodic table and period 1 has two elements, 2nd and 3rd have 8 elements, 4th and 5th have 18 elements and 6th and 7th have 32 elements.
• The lanthanides and actinides group in 6th and 7th periods respectively are placed separately.

So, Modern periodic law was given by Mosley.

The correct answer is Salt, water.

Explanation

• When an acid reacts with a metal oxide, salt and water are obtained as products.
  • Salt and water are produced when acids react with metal oxides.
  • Metal oxides are bases because they neutralize acids.
• In general:
  • Acid + metal oxide → salt + water
• For example:
  • Sulfuric acid + copper(II) oxide  copper(II) sulfate + water
  • H₂SO₄(aq) + CuO(s)  CuSO₄(aq) + H₂O(l)

Other Related Points

• Al₂O₃ reacts with acids and bases:
  • Aluminum oxide (Al₂O₃) is an amphoteric substance.
  • The amphoteric substance is a substance that can react with both acids and bases usually to produce salt and water.
  • Aluminium oxide therefore can react with both acids as well as bases. We will take the example of its reaction with hydrochloric acid (strong acid) and sodium hydroxide (strong base).
  • When mixed with these two compounds aluminium oxide either acts like acid with a base and a base with an acid.

Concept:

• Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
• These equations are only valid when the acceleration of the body is constant and they move in a straight line.

There are three equations of motion:

V = u + at

V² = u² + 2 a S

Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.

Calculation:

Given that:

Final velocity, v = 30 m/s; Initial velocity, u = 25 m/s; Time, t = 10s

Using v = u + at

a = (v - u)/t

a = (30 - 25)/10

a = 5/10

Acceleration (a) = 0.5 m/s²

Hence option 4 is correct.

The correct answer is Double displacement reaction.

Explanation

• In a double displacement reaction, two compounds exchange ions to form two new compounds.
• This type of reaction generally occurs in aqueous solutions where the ions are free to move.
• An example of a double displacement reaction is the reaction between silver nitrate (AgNO₃) and sodium chloride (NaCl) to form silver chloride (AgCl) and sodium nitrate (NaNO₃).
• Double displacement reactions can be classified into precipitation reactions, gas formation reactions, and neutralization reactions.

Other Related Points

• Decomposition Reaction
  • A single compound breaks down into two or more simpler substances.
  • Example: The decomposition of calcium carbonate (CaCO₃) into calcium oxide (CaO) and carbon dioxide (CO₂).
• Disproportionation Reaction
  • A single substance is simultaneously oxidized and reduced, forming two different products.
  • Example: The reaction of hydrogen peroxide (H₂O₂) to form water (H₂O) and oxygen (O₂).
• Addition Reaction
  • Two or more substances combine to form a single product.
  • Commonly occurs in unsaturated compounds like alkenes and alkynes.
  • Example: The hydrogenation of ethene (C₂H₄) to form ethane (C₂H₆).

The logic followed here is:

Option 1) AZBY

Option 2) ZUYV

Option 3) FAEB

Option 4) UPTQ

Here, 'AZBY' is different among the given options.

Hence, the correct answer is "Option 1".

The pattern followed here is:

The total number of odd days is listed below:

Therefore 2015 will be the repeated calendar of 2009.Shortcut Trick

So, 2008 + 1 = 2009 + 6 = 2015

So, 2015 is the same as the calendar for the year 2009

Hence, the correct answer is "2015".

The image completes the incomplete figure is as follow;

Hence, the correct answer is "option 3".

Let us check each option:

1. N ≥ H > F ≥ I = G → True (N > G).

2. N ≥ H < F ≥ I = G → False (here the relation between N and G can’t be determined)

3. N ≥ H ≥ F ≥ I = G → False (here N ≥ G)

4. N ≥ H ≤ F ≥ I = G → False (here the relation between N and G can’t be determined)

The logic followed here is:

Logic: (1st number)² - 9 = 2nd number.

Now,

For, 7 : 40

⇒ 7² - 9 = 49 - 9 = 40.

For, 5 : 16

⇒ 5² - 9 = 25 - 9 = 16.

Similarly, for 9 ∶ ?

⇒ 9² - 9 = 81 - 9 = 72.

Hence, the correct answer is "Option 1".

Hence, HL6 is the answer.

The logic followed here is:

'TEMPRATURE' is written as 'VGORTCVWTG'

Similarly,
'DIRECTION' is written as

Hence, "Option 2" is the correct answer.

The logic followed here is:

Mohiniattam, Kathakali, Bharatnatyam all are Classical Dances,
Whereas,
Bihu is a Folk Dance.
Hence, the correct answer is "Bihu".

The correct answer is Lord Dalhousie.

Explanation

• Lord Dalhousie served as the Governor-General of India from 1848 to 1856.
  • He is also said to have convinced the British to introduce the railways in India through his famous Railway minutes of 1853.
  • Thus, he is regarded as the father of Indian railways.
• Established in the year 1952, Northern Railways is the largest zone in terms of kilometers covered (approximately 6807) in India.
  • ​The headquarters of the Northern Railways zone is at Baroda House, Delhi, and New Delhi Railway Station.
• Indian Railways is among the world's largest rail networks.