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Practical Applications of Indian Mathematics in Navigation

Description: This quiz aims to assess your understanding of the practical applications of Indian mathematics in navigation.
Number of Questions: 14
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Tags: indian mathematics navigation history of mathematics
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Which ancient Indian text is considered to be the earliest known treatise on navigation?

  1. Rigveda

  2. Yajurveda

  3. Samaveda

  4. Atharvaveda


Correct Option: B
Explanation:

The Yajurveda contains hymns and rituals related to navigation, including instructions on how to determine the direction of the North Star and how to use the stars for navigation.

What is the name of the instrument used by ancient Indian navigators to measure the altitude of celestial bodies?

  1. Astrolabe

  2. Compass

  3. Sextant

  4. Quadrant


Correct Option: D
Explanation:

The quadrant was a simple instrument used to measure the altitude of celestial bodies above the horizon. It consisted of a quarter-circle arc with a plumb line attached to the center.

Which Indian mathematician and astronomer developed a method for calculating the circumference of the Earth?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the circumference of the Earth based on the assumption that the Earth is a sphere.

What is the name of the mathematical technique used by Indian navigators to calculate the distance between two points on the Earth's surface?

  1. Pythagorean theorem

  2. Law of cosines

  3. Law of sines

  4. Great circle distance formula


Correct Option: D
Explanation:

The great circle distance formula is a mathematical formula used to calculate the shortest distance between two points on the Earth's surface.

Which Indian mathematician and astronomer developed a method for calculating the time of sunrise and sunset?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: D
Explanation:

Varahamihira, in his work Brihat Samhita, developed a method for calculating the time of sunrise and sunset based on the position of the Sun in the sky.

What is the name of the Indian mathematician and astronomer who developed a method for calculating the position of the Moon?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: C
Explanation:

Brahmagupta, in his work Brahmasphuta Siddhanta, developed a method for calculating the position of the Moon based on its motion relative to the Sun.

Which Indian mathematician and astronomer developed a method for calculating the position of the planets?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II, in his work Siddhanta Shiromani, developed a method for calculating the position of the planets based on their motion relative to the Sun.

What is the name of the Indian mathematician and astronomer who developed a method for calculating the time of eclipses?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the time of eclipses based on the position of the Sun and Moon in the sky.

Which Indian mathematician and astronomer developed a method for calculating the position of the stars?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: D
Explanation:

Varahamihira, in his work Brihat Samhita, developed a method for calculating the position of the stars based on their motion relative to the Sun.

What is the name of the Indian mathematician and astronomer who developed a method for calculating the distance to the Moon?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the distance to the Moon based on the time it takes for moonlight to reach the Earth.

Which Indian mathematician and astronomer developed a method for calculating the distance to the Sun?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the distance to the Sun based on the time it takes for sunlight to reach the Earth.

What is the name of the Indian mathematician and astronomer who developed a method for calculating the speed of light?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the speed of light based on the time it takes for light to travel from the Sun to the Earth.

Which Indian mathematician and astronomer developed a method for calculating the mass of the Earth?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the mass of the Earth based on the time it takes for a body to fall from a height.

What is the name of the Indian mathematician and astronomer who developed a method for calculating the density of the Earth?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, in his work Aryabhatiya, developed a method for calculating the density of the Earth based on the time it takes for a body to fall from a height.

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