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Railways NTPC Arithmetic and Science Facts

Essential arithmetic formulas, scientific units, railway administration milestones, and polity facts for Railways NTPC preparation.

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Speed Conversion Factor (km/h to m/s)

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Speed Conversion Factor (km/h to m/s)

Multiply by

\frac{5}{18}

to convert speed from kilometers per hour to meters per second.

Train Crossing a Pole or Stationary Observer

Total distance traveled during crossing equals the length of the train:

D = L_{train}

Train Crossing a Bridge or Platform

Total distance traveled equals train length plus platform length:

D = L_{t} + L_{p}

Two Trains Passing in Opposite Directions

Time taken is

t = \frac{L _{1} + L _{2}}{S _{1} + S _{2}}

, adding their lengths and relative speeds.

Simple Interest Formula

SI = \frac{P \times R \times T}{100}

, linear in principal, rate, and time.

Sum of First

n

Natural Numbers

S_{n} = \frac{n ( n + 1 )}{2}

, forming an arithmetic series with difference

1

Sum of Squares of First

n

Natural Numbers

S_{n}^{2} = \frac{n ( n + 1 ) ( 2 n + 1 )}{6}

Empirical Relation: Mean, Median, and Mode

Mode \approx 3 (Median) - 2 (Mean)

for moderately skewed distributions.

SI Unit of Electrical Resistance

Ohm (

Ω

), defined as one volt per ampere:

1 Ω = 1 V / A

SI Unit of Magnetic Flux

Weber (Wb), where

1 Wb = 1 T \cdot m^{2} = 1 V \cdot s

Standard Acceleration Due to Gravity

g \approx 9.8 m/s^{2}

at mean sea level on Earth's surface.

Chemical Formula of Baking Soda

Sodium hydrogen carbonate (

NaHCO_{3}

), used as a leavening agent.

Chemical Formula of Washing Soda

Sodium carbonate decahydrate (

Na_{2} CO_{3} \cdot 10 H_{2} O

Vitamin D Deficiency Disease in Children

Rickets, causing softening and weakening of nutritional bone structures.

Chambers in the Human Heart

Four distinct chambers: right atrium, left atrium, right ventricle, and left ventricle.

First Passenger Train Journey in India

Ran on 16 April 1853 between Bori Bunder (Bombay) and Thane, covering

34

kilometers.

Headquarters of Northern Railway Zone

Baroda House, New Delhi.

Headquarters of Western Railway Zone

Churchgate, Mumbai, Maharashtra.

Headquarters of Southern Railway Zone

Chennai Central, Tamil Nadu.

World's Longest Railway Platform

Shree Siddharoodha Swamiji Hubballi Junction (

1507

meters), South Western Railway, Karnataka.

Heart and Soul of the Constitution

Article 32 (Right to Constitutional Remedies), as characterized by Dr. B.R. Ambedkar.

Official Languages in Eighth Schedule

The Eighth Schedule recognizes

22

official languages in the Indian Constitution.

Battle of Plassey (1757)

Fought on 23 June 1757; Robert Clive defeated the Nawab of Bengal Siraj-ud-Daulah.

Introduction of Fundamental Duties

Added to Part IVA (Article 51A) by the 42nd Constitutional Amendment Act of 1976.

First Indian Governor-General of Free India

Chakravarti Rajagopalachari (C. Rajagopalachari), serving from 1948 to 1950.

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