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RRB NTPC (CBT I) Full Mock Test - 4 - RRB NTPC/ASM/CA/TA MCQ


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30 Questions MCQ Test - RRB NTPC (CBT I) Full Mock Test - 4

RRB NTPC (CBT I) Full Mock Test - 4 for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The RRB NTPC (CBT I) Full Mock Test - 4 questions and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus.The RRB NTPC (CBT I) Full Mock Test - 4 MCQs are made for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB NTPC (CBT I) Full Mock Test - 4 below.
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RRB NTPC (CBT I) Full Mock Test - 4 - Question 1

Seven employees, T, U, V, W, X, Y and Z, reach their factory in a particular sequence. Y reaches immediately before T but does not immediately follow W. V is the last one to reach. X immediately follows T and is subsequently followed by Z. W reaches before T. Who is the second to reach the factory?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 1

Arranging them according to the given information,

V is the last one to reach.

Y reaches immediately before T but does not immediately follow W.

X immediately follows T and is subsequently followed by Z.

W reaches before T.

‘U’ is the second to reach the factory.

Hence, “U” is the correct answer.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 2

Which Article deals with the 'Power of Parliament to amend the Constitution and procedure therefor'?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 2

The correct answer is Article 368.

Key Points Article 368

  • ​Power of Parliament to amend the Constitution and procedure therefor.
  • Parliament may in the exercise of its constituent power amend by way of addition, variation or repeal any provision of this Constitution in accordance with the procedure laid down in this article.
  • An amendment of this Constitution may be initiated only by the introduction of a Bill for the purpose in either House of Parliament.
  • When the Bill is passed in each House by a majority of the total membership of that House and by a majority of not less than two-thirds of the members of that House present and voting, it shall be presented to the President.

Additional Information

Article 352

  • Article 352(National Emergency) says that if the president is satisfied that a grave emergency exists whereby the security of India or any part of the territory of India is threatened by war or external aggression or armed rebellion, he may proclaim an emergency.
  • This emergency may be with respect to the whole or part of India.

Article 356

  • Under Article 356 of the Constitution of India, if a state government is unable to function according to Constitutional provisions, the Union government can take direct control of the state machinery
  • Article;356 states that “If the President, on receipt of a report from the Governor of the State or otherwise, is satisfied that a situation has arisen in which the government of the State cannot be carried on in accordance with the provisions of this Constitution, the President may be Proclaim emergency in a state”.

Article 249

  • Article 249 of the Indian constitution is related to the Legislative Powers of parliament with respect to subjects in the state list. It empowers the Parliament to make laws with respect to any matter enumerated in the state list.
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RRB NTPC (CBT I) Full Mock Test - 4 - Question 3

As per the Census 2011, what is the percentage of ‘Scheduled Tribes’ (ST) in India's total population?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 3

The correct answer is 8.6%.
Key Points

A census is a procedure of systematically calculating, acquiring, and recording information about the members of a given population

  • According to Census 2011, the number of scheduled tribes in India is 10, 42, 81,034, which is 8.6% of the total population of India.
  • The number of Scheduled Castes is 20,13, 78086, which is 16.6%.

Additional Information

  • The Census of India is conducted every 10 years.
  • Census 2011 was the 15th National census survey conducted by the Registrar General and Census Commissioner of India.
  • Mr. C. Chandramouli is the Commissioner & Registrar General of the Indian 2011 Census.

Hence, According to the Census of India 2011, the Scheduled Castes and the Scheduled Tribes were 16.6% and 8.6% of the country’s population, respectively.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 4
Six friends, Govardan, Sarayu, Rekha, Shyamala, Hema and Ganesh, are standing in a queue at a ticket counter. There are two persons between Sarayu and Hema. Rekha is between Hema and Shyamala. Only one person is standing ahead of Govardan. Ganesh who is fourth from the back end of the row, is between Govardan and Hema. Which two persons are standing between Sarayu and Hema?
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 4

Six friends, Govardan, Sarayu, Rekha, Shyamala, Hema and Ganesh, are standing in a queue at a ticket counter.

1. Only one person is standing ahead of Govardan.

____ > Govardan > ____ > ____ > ____ > ____

2. Ganesh who is fourth from the back end of the row, is between Govardan and Hema.

____ > Govardan > Ganesh > Hema > ____ > ____

3. There are two persons between Sarayu and Hema.

Sarayu > Govardan > Ganesh > Hema > ____ > ____

4. Rekha is between Hema and Shyamala.

Sarayu > Govardan > Ganesh > Hema > Rekha > Shyamala

Clearly, Govardan and Ganesh are the two persons standing between Sarayu and Hema.

Hence, 'Govardan and Ganesh' is the correct answer.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 5

A bag contains 4 red, 5 yellow and 6 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are yellow?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 5

Given:

A bag contains 4 red, 5 yellow and 6 pink balls. Two balls are drawn at random.

Concept Used:

Probability = Favorable outcomes / Total outcomes

we can use the concept of combinations nCr = n!/r!(n - r)!

Calculation:

Total number of balls = 4 red + 5 yellow + 6 pink = 15 balls

Number of balls drawn = 2

The number of ways to choose 2 balls out of 15 is given by the combination formula

nCr = n!/r!(n - r)!

15C2 = 15!/2!(15 - 2)!

⇒ 15 × 14 × 13!/2 × 13!

⇒ 105

Number of ways to choose 2 balls from 10 non-yellow balls

10C2 = 10!/2!(10 - 2)!

⇒ 10 × 9 × 8!/2 × 8!

⇒ 45

The number of favorable outcomes is 45

Probability = Favorable outcomes / Total outcomes

⇒ 45/105

⇒ 3/7

∴ The probability that none of the balls drawn are yellow is 3/7.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 6

Decide which of the conclusions logically follow(s) from the information given the statement.

Statement:

People are often seen selling things on the footpath in busy market areas.

Conclusions:

1. Take help of police to clear the footpath from these vendors.

2. Some place should be allotted to these vendors to sell their goods without blocking the footpath.

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 6

Conclusion 2 logically follows from the given statement, as it suggests a solution that accommodates the vendors while ensuring that the footpath remains clear for pedestrians.

Conclusion 1 does not necessarily follow from the given statement, as it suggests a possible action but does not consider whether it is a practical or desirable solution. Additionally, it assumes that the vendors are causing a problem that requires police intervention, which may not be the case.

Therefore, conclusion 1 does not logically follow from the given statement.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 7
Which of the following is not a characteristic of earth's crust?
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 7

The Earth is divided into three main layers. The dense, hot inner core, the molten outer core, the mantle, and the thin crust, support all life in the known universe.

Important Points

Interior of the earth:

  • Earth's interior is generally divided into three major layers: the crust, the mantle, and the core.
  • The hard, brittle crust extends from Earth's surface to the so-called Mohorovicic discontinuity, nicknamed the Moho.
  • The Moho is not located at a uniform depth, but about 10 kilometers (6 miles) below the seafloor and about 35 kilometers (22 miles) beneath the surface of continents.
  • Beneath the Moho is the mantle, the viscous layer that makes up more than half of Earth's volume.
  • The mantle is divided from the core by the Gutenberg discontinuity, about 2,880 kilometers (1,798 miles) beneath Earth's surface.
  • The outer core is molten and liquid iron and nickel, while the inner core is solid and much denser than either iron or nickel at the surface.
  • The crust forms only 1 percent of the volume of the earth, 84 percent consists of the mantle and 15 percent makes the core

Key Points

Characteristics of the Crust:

  • The uppermost layer over the earth’s surface is called the crust.
  • It is the thinnest of all the layers.
  • It is about 35 km. on the continental masses and only 5 km. on the ocean floors.
  • The main mineral constituents of the continental mass are silica and alumina.
  • It is thus called sial (si-silica and al-alumina).
  • The oceanic crust mainly consists of silica and magnesium; it is therefore called sima (si-silica and ma-magnesium)
  • The crust makes up only 1% of the volume of Earth.

Hence, 84% by volume constitute by the crust is not true about the crust.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 8

Which of the following instrument is used to measure the humidity of air?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 8

The correct answer is ​Hygrometer.
Key Points
Hygrometer:

  • It is used to measure the moisture content in the air is called a hygrometer.
  • It represents the humidity of the air or vapor, equal to the maximum humidity that the air can contain. In the range of 0 to 100, The higher the value the more moisture there will be in the air.​

Additional Information
Hydrometer:

  • A hydrometer is an instrument used to determine specific gravity. The specific gravity of a liquid is the density of the liquid divided by the density of water.
  • Measure low-density liquids, such as gasoline, alcohol, and kerosene.

Hypsometer:

  • An instrument that uses atmospheric pressure measured by measuring changes in the boiling point of water to determine the elevation of the earth.

Pycnometer:

  • ​The pycnometer is an accurate method to use a working fluid with a known density, such as water.
  • Pycnometers can also be used to determine the density of homogeneous solid objects that are insoluble in the working liquid.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 9
What kind of festival is 'Nuakhai Juhar', which is celebrated by the people of Odisha during the month of August/September?
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 9

The correct answer is Agricultural Festival.

Key Points

  • Nuakhai is an agricultural festival that celebrates the harvest of Rice crops in Western Odisha.
  • The word Naukahi splits into 'Nua' which means new and 'Khai' means food.
  • Hence Nuakhai festival celebrates the harvest and arrival of new food crops.
  • It is celebrated one day after the Ganesh Chaturthi in the Bhadra month of Hindu lunar calendar.
  • Some people consider its origin in the Vedic period's Pralamban Yajna (one of the 5 Panchyajnas).
  • While some others consider that it was celebrated by Raja Chauvan Ramai Deo during 12th century AD.
  • Nine rituals are performed during the celebration of this festival starting from Beheren (announcement of meeting to set the date) to Juhar (Gift exchange).
  • As a part of this festival's celebration, the new crop is offered to the deity and people also eat it as 'prasad'.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 10

Study the graph and answer the question that follows.

The following bar graph shows the total numbers of girls who got the admission in two degree colleges Vikas and Jagruthi from 2015 to 2019 are given.

What is the ratio between total girl students in 2016 to the total girl students in 2019 of both degree colleges?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 10

Given:

Calculation:
Total number of girls in the year 2016 in both colleges
= 60 + 210
= 270
Total number of girls in the year 2019 in both colleges
= 70 + 150
= 220
Ratio of girls in the year 2016 and 2019 in both colleges
= 270 : 20
= 27 : 22
Thus, the required ratio is 27 : 22.
Hence, the correct answer is option (1).

RRB NTPC (CBT I) Full Mock Test - 4 - Question 11

Which of the following is correct matching of the longitudes and latitudes?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 11

The correct matching of the given longitudes and latitudes is A - (iv), B - (i), C - (ii), D - (iii)
Key Points

  • Latitudes are parallel circles from the equator up to the poles.
  • The important parallels of latitudes are:
    • Equator - 0°
    • Tropic of Cancer - 23½° N
    • Tropic of Capricorn - 23½° S
    • Arctic Circle - 66½° N
    • Antarctic Circle - 66½° S
  • Longitudes are the semi-circles running from North Pole to South Pole.
  • The important meridians of longitudes are:
    • Prime Meridian - 0°
    • 180th Meridian (International Date Line)
  • In India, the longitude of 82½° E (82° 30'E) is treated as the standard meridian and known as the Indian Standard meridian.

From the above explanation, we can conclude that the correct answer is A - (iv), B - (i), C - (ii), D - (iii)

RRB NTPC (CBT I) Full Mock Test - 4 - Question 12
In India, what is the total length of the coastline of the mainland, including Andaman and Nicobar and Lakshadweep?
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 12

The correct answer is Option 3.

Key Points

  • The total length of the coastline of India's mainland, including the coastlines of the Andaman and Nicobar Islands and Lakshadweep Islands, is approximately 7,516.6 km (4,700 miles), according to the Ministry of Environment, Forests and Climate Change, Government of India.
  • This coastline stretches along the Arabian Sea to the west, the Bay of Bengal to the east, and the Indian Ocean to the south.
  • It is important to note that the exact length of the coastline can vary depending on the method used to measure it, as coastlines are often complex and irregular.

Additional Information

  • The Andaman and Nicobar Islands are located in the Bay of Bengal, on the southeastern coast of India.
  • They are a group of islands consisting of 572 islands, of which only 38 are inhabited.
  • The Andaman Islands are to the north of the Nicobar Islands and are separated by the Ten Degree Channel.
  • The capital city of the Andaman and Nicobar Islands is Port Blair, located on the Andaman Islands.
  • The islands are known for their pristine beaches, crystal-clear waters, and diverse flora and fauna.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 13

In rhombus ABCD, the diagonals AC and BD intersects at the point O. If ∠CDO = 50, then find the ∠DAB.

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 13

Given:
In rhombus ABCD, the diagonals AC and BD intersect at point O.
∠CDO = 50
Concept used:
In a rhombus:

(1) The diagonals of a rhombus are angle bisectors.
(2) The opposite sides are parallel to each other.
Therefore,
∠A + ∠D = 180
Calculation:
According to the question, the required figure is:

As we know, the diagonals of a rhombus are angle bisectors.
Therefore,
⇒ ∠CDO = ∠ODA = 50
So,
⇒ ∠CDA = ∠CDO + ∠ODA
⇒ ∠CDA = 50 + 50
⇒ ∠CDA = 100
The opposite sides are parallel to each other.
Therefore,
⇒ ∠ADC + ∠DAB = 180
⇒ 100 + ∠DAB = 180
⇒ ∠DAB = 80
∴ The required answer is 80.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 14
The present ages of three persons are in proportions 4 : 5 : 11. Eight years ago, the sum of their ages was 56. Find their present ages (in years.)
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 14

⇒ Let the present age of the persons be 4x, 5x, 11x

⇒ 8 years ago these persons ages be 4x - 8, 5x - 8, 11x - 8

⇒ Sum of ages = 56

⇒ 4x - 8 + 5x - 8 + 11x - 8 = 56

⇒ 20x = 80

⇒ x = 4

⇒ Present ages = 4x = 4 x 4 = 16

⇒ 5x = 5 x 4 = 20

⇒ 11x = 11 x 4 = 44

∴ Present age of these persons = 16, 20, 44
RRB NTPC (CBT I) Full Mock Test - 4 - Question 15
A piece of string is 40 cm long. It is cut into three pieces. The longest piece is three times as long as the middle-sized piece, and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece (in cm).
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 15

Given:

Total length of string = 40cm.

Calculation:

Let the length of the middle piece = x cm.

Then

Longest piece = 3x cm,

Shortest piece = 3x - 23 cm.

From the total length of the string, we have the equation:

x + 3x + 3x - 23 = 40

⇒ 7x - 23 = 40

⇒ 7x = 40 + 23

⇒ 7x = 63

So,

x = 63 / 7

⇒ x = 9 cm (middle piece length)

Therefore,

The shortest piece length = 3x - 23 = 3 × 9 - 23 = 27 - 23 = 4 cm.

∴ 4 cm is the length of the shortest piece.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 16

Who was the founder of autonomous kingdom of Awadh in 1722?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 16

The correct answer is Saadat Ali Khan.
Saadat Ali Khan-Burhan-ul-Mulk was the founder of the autonomous kingdom of Awadh in 1722.
Key Points

  • Awadh was a province of the Mughal Empire.
  • It included the entire Uttar Pradesh.
  • Saadat Ali Khan was appointed as the Governor of Awadh in 1722.
  • He introduced new land revenue and land lease system in Awadh.
  • It was done to protect farmers from the exploitation of landlords.
  • Safdar Jung became the nawab of Awadh in 1739.
  • In 1748, he was made the wazir of the Mughal Empire and Allahabad province was also handed to him.
  • Shuja-ud-daula became the nawab of Awadh in 1754.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 17

In ΔABC, AB = 8 cm. ∠A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 17

Given:
In ΔABC, AB = 8cm
∠A bisected internally to intersect BC at D.
AB = 8 cm, BD = 6 cm and DC = 7.5 cm
Concept used:

In a triangle, the angle bisector of an angle is divides the opposite side to the angle in the ratio of the remaining two sides.

Calculation:
AB = 8 cm, ∠A is bisected internally to intersect BC at D,
⇒ AB/AC = BD/CD
⇒ 8/AC = 6/7.5
∴ AC = 10 cm

RRB NTPC (CBT I) Full Mock Test - 4 - Question 18

The Election Commission of India (ECI) is the watchdog of free and fair elections in the country and _____ of the constitution of India provides for its establishment.

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 18

The correct answer is ​Article 324.
Key Points

  • Article 324 deals with provisions with regard to the election commission of India.
  • The Election Commission of India is an autonomous constitutional body responsible for administering Union and State election processes in India.
  • Part XV of the constitution of India deals with elections and establishes a commission for these matters.
  • Article 324 to 329 of the constitution of India deals with powers, function, tenure, eligibility, etc of the commission and the member.

Additional Information

  • State Emergency is provided in Article 356 and is popularly known as Presidents Rule.
  • ​National Emergency is provided in Article 352 and the President of India can declare a national emergency.
  • Article 101 deals with the Vacation of Seats in the parliament.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 19

Read the given statement and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions is true based on the given statement.

Statement: A = S ≥ L > O < X ≥ C

Conclusions:

I. O < C

II. A > O
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 19

The given statement is: A = S ≥ L > O < X ≥ C

Conclusions:

I. O < C → False (as O < X ≥ C gives either O < C or O ≥ C and no definite relation between O and C can be determined).

II. A > O → True (as A = S ≥ L > O given; so A > O is true).

Hence, the correct answer is “Only II is true”.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 20

Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.

HONK ∶ MPRK ∶∶ STAR ∶ TCWV ∶∶ LONE ∶ ?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 20

The logic followed here is:

For, HONK ∶ MPRK

For, STAR ∶ TCWV

Similarly, for LONE ∶ ?

Hence, the correct answer is "Option 3".

RRB NTPC (CBT I) Full Mock Test - 4 - Question 21

Who has been sworn in as Chairman of UPSC? (May 2023)

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 21

The correct answer is Manoj Soni.
Mistake Points

  • Though Preeti Sudan is the current chairperson of the UPSC the question is based on May 2023 and hence must be answered accordingly.

In News

  • Manoj Soni sworned in as Chairman of UPSC in May 2023.

Key Points

  • Educationist Manoj Soni will take oath as the chairman of Union Public Service Commission (UPSC)
  • He joined the Commission as the member on June 28, 2017, has been performing the duties of the UPSC chairman since April 5, 2022.
  • He was administered the oath of office and secrecy as chairman, UPSC by Smita Nagaraj, senior most member in the Commission.
  • Prior to his appointment in the UPSC, Soni has served three terms as Vice-Chancellor.

Additional Information
Union Public Service Commission:

  • UPSC was established on 1st October 1926.
  • It was established on the recommendation of the 'Lee Commission'.
  • UPSC is the central recruiting agency in India.
  • Article 315 to 323 of the Indian constitution deals with the UPSC.
  • The chairman and the members of the UPSC and joint state commission are appointed and removed by the President.
  • UPSC is the watchdog of the Indian merit system.
  • Sir Ross Barker served as the first chairperson of the UPSC.
  • Pose Milen Bethew was the first women chairperson of the UPSC.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 22

Which of the following is the only floating national park in India and the world?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 22

The correct answer is Keibul Lamjao National Park.
Key Points
Keibul Lamjao National Park:

  • It is a national park in the Bishnupur district of the state of Manipur in India.
  • The national park is characterized by many floating decomposed plant materials locally called phumdis.
  • The park which was initially declared to be a sanctuary in 1966, was subsequently declared to be a national park in 1977 through a gazette notification.
  • Kishtwar National Park is a national park located in the Kishtwar district of Jammu and Kashmir, India.
  • Khangchendzonga National Park also Kanchenjunga Biosphere Reserve is a National Park and a Biosphere reserve located in Sikkim, India.
  • Khirganga National Park is a national park in Himachal Pradesh, India established in 2010.
  • Jim Corbett National Park is a forested wildlife sanctuary in northern India’s Uttarakhand State.

Additional Information

RRB NTPC (CBT I) Full Mock Test - 4 - Question 23

When lead nitrate is heated, then which of the following gases is produced?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 23

The correct answer is Nitrogen dioxide.
Key Points

  • Lead nitrate breaks down into Lead oxide (PbO), oxygen (O2), and nitrogen dioxide (NO2) when heated.
  • When lead nitrate is heated, lead monoxide, nitrogen dioxide, and oxygen are produced.
  • Light yellow solid lead monoxide, reddish-brown nitrogen dioxide gas, and colourless oxygen gas are the byproducts of its breakdown.
  • The balanced reaction is : ​2Pb(NO3)2 →2 PbO +4NO2+O2The brown fumes observed are of Nitrogen Dioxide (NO2)

Important Points
Identification of gases in chemistry can be done as below:

RRB NTPC (CBT I) Full Mock Test - 4 - Question 24

Two trains 150 m and 200 m long are travelling at 54 km/hr and 72 km/hr respectively towards each other on parallel tracks. How long will they take to pass each other completely?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 24

Given:

Length of first train = 150 m

Speed of first train = 54 km/hr

Length of second train = 200 m

Speed of second train = 72 km/hr

Concept used:

The speed of an object with respect to another is called relative speed.

Suppose two bodies are moving with speeds x km/h and y km/h respectively, then

If bodies moving in opposite direction = (x + y) km/h

If bodies moving in same direction = (x - y) km/h

Formula used:

Speed = Distance/Time

1 km/h = 5/18 m/s

Calculation:

The Sum of the lengths of trains = (150 + 200) m = 350 m

According to the question, we have

Relative speed = (54 + 72) = 126 km/h

⇒ 126 × 5/18 = 35 m/s

Again, According to the question

Time taken by train = Total distance/Speed

⇒ 350/35 = 10 seconds

∴ The time taken to cross each other is 10 seconds.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 25

Who among the following is the author of the book 'The Longest Race'?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 25

The correct answer is Tom Alter.
Key Points

  • Tom Alter is the author of the book 'The Longest Race'.
    • The Longest Race is his urgent exploration of the connection between individual endurance and sustainable society.
    • The Longest Race begins at the starting line of the 2001 JFK 50 Mile the nation’s oldest and largest ultramarathon and, like other such races, an epic test of human limits and aspiration.
    • At age sixty, his sights set on breaking the age-division record, Ayres embarks on a course over the rocky ridge of the Appalachian Trail, along the headwind-buffeted towpath of the Potomac River, and past momentous Civil War sites such as Harpers Ferry and Antietam.

Additional Information

  • Tom Alter 
    • He was an Indian actor of American descent.
    • He was best known for his work in Hindi cinema and Indian theatre.
    • In 2008, he was awarded the Padma Shri by the Government of India.
    • Books: Rerun at Rialto
  • Ruskin Bond
    • He is an Indian author of British descent.
    • He lives with his adopted family in Landour, Mussoorie, India.
    • The Indian Council for Child Education has recognized his role in the growth of children's literature in India.
  • Nasser Hussain
    • He is a British cricket commentator and former cricketer who captained the England cricket team between 1999 and 2003, with his overall international career extending from 1990 to 2004.
RRB NTPC (CBT I) Full Mock Test - 4 - Question 26

The sum of the first 20 terms of an arithmetic progression whose first term is 5 and common difference is 4 is _____.

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 26

Given:
First term 'a' = 5, common difference 'd' = 4
Number of terms 'n' = 20
Concept:
Arithmetic progression:

  • Arithmetic progression is a list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term.
  • The fixed number is called common difference 'd'.
  • It can be positive, negative or zero.

Formula used:
nth term of AP
Tn = a + (n - 1)d
The Sum of n terms of AP is given by
S = n/2[2a + (n - 1)d]
S = n/2(a + 1)
Where,
a = first term of AP, d = common difference, l = last term
Calculation:
We know that sum of n terms of AP is given by
S = n/2 [2a + (n - 1) d]
⇒ S = 20/2 [2 x 5 + (20 - 1) x 4]
⇒ S = 10(10 + 76)
⇒ S = 860
Hence, the sum of 20 terms given AP will be 860.
Alternate Method
We know that nth term of AP is given by
Tn = a + (n - 1)d
If l is the 20th term (last term) of AP, then
l = 5 + (20 - 1) × 4 = 81
So the sum of AP
S = n/2(a + l)
⇒ S = 20/2(5 + 81)
⇒ S = 860

RRB NTPC (CBT I) Full Mock Test - 4 - Question 27
In a 100-metre race, A can beat B by 20 m and B can beat by C 10 m. In the same race, A can beat C by:
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 27

Given, in a race of 100 m, A can beat B by 20 m and in a race of 100 m, B can beat C by 10 m

∴ Ratio of speeds of A : B = 100 : (100 - 20) = 100 : 80 = 10 : 8

∴ Ratio of speeds of B : C = 100 : (100 - 10) = 100 : 90 =10 : 9

∴ Ratio of speeds of A : B : C = 100 : 80 : 72

∴ Ratio of speeds of A : C = 100 : 72

Thus, A covers 100m at the same time C covers 72 m.

Since in a race of 100 m, A beats C by 28 m.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 28

B 6 & N C ! V 2 $ T 8 % 5 # 9 R S 4 @ 7 P

How many numbers are there which are immediately preceded by a letter and immediately followed by a symbol?
Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 28

There is a total of four numbers which are immediately preceded by a letter and immediately followed by a symbol

M B 6 & N C ! V 2 $ T 8 % 5 # 9 R S 4 @ 7 P

Hence, option 4 is correct.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 29

A certain sum at a certain simple interest rate % per annum becomes Rs. 7440 in 3 years and Rs. 8400 in 5 years. The principal and rate of interest are

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 29

Given:

Amount after 3 years = Rs. 7440

Amount after 5 years = Rs. 8400

Formula used:

Simple interest = (Principal × Rate × Time)/100

Calculation:

Interest of 2 years = Rs. (8400 – 7440)

⇒ Rs. 960

Interest of 1 year = 960/2

⇒ Rs. 480

Then, Principal amount = 7440 – (3 × 480)

⇒ Rs.(7440 - 1440)

⇒ Rs. 6000

Rate of Interest = (480/6000) × 100

⇒ 480/60

⇒ 8%

∴ Principal is Rs. 6000 and Rate of Interest is 8%.

RRB NTPC (CBT I) Full Mock Test - 4 - Question 30

Pointing to a woman, a man said, “Her mother's father's wife is my mother ". How is the man related to the woman?

Detailed Solution for RRB NTPC (CBT I) Full Mock Test - 4 - Question 30

By using the following symbols in the table given below, we can draw the following family tree:

According to the given information:
Statement : Pointing to a woman, a man said, “Her mother's father's wife is my mother ".
Here, the woman's mother's father i.e. grandfather of the woman and her grandfather's wife i.e grandmother of the
woman is the mother of the man.
Thus the following family tree can be drawn:

Therefore, the man is the uncle of the woman.
Hence, the correct answer is "Uncle".

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