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Harivamsha's Work on Mathematics

Description: This quiz is designed to assess your knowledge about the contributions of Harivamsha to the field of mathematics.
Number of Questions: 14
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Tags: ancient indian mathematics harivamsha mathematics
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What is the name of the treatise written by Harivamsha on mathematics?

  1. Ganita Sara Sangraha

  2. Lilavati

  3. Siddhanta Shiromani

  4. Aryabhatiya

Show answer
Correct Option: A
Explanation:

Harivamsha's mathematical treatise is known as Ganita Sara Sangraha.

In which century did Harivamsha live?

  1. 12th century

  2. 13th century

  3. 14th century

  4. 15th century

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Correct Option: A
Explanation:

Harivamsha lived in the 12th century.

What is the main topic covered in Ganita Sara Sangraha?

  1. Arithmetic

  2. Algebra

  3. Geometry

  4. Trigonometry

Show answer
Correct Option: A
Explanation:

Ganita Sara Sangraha primarily focuses on arithmetic.

Which mathematical operation did Harivamsha introduce in Ganita Sara Sangraha?

  1. Addition

  2. Subtraction

  3. Multiplication

  4. Division

Show answer
Correct Option: D
Explanation:

Harivamsha introduced the concept of division in Ganita Sara Sangraha.

What is the rule for division of fractions according to Harivamsha?

  1. Invert the divisor and multiply

  2. Multiply the divisor and dividend

  3. Add the divisor and dividend

  4. Subtract the divisor from the dividend

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Correct Option: A
Explanation:

Harivamsha stated that to divide two fractions, one should invert the divisor and multiply it with the dividend.

What is the name of the method used by Harivamsha to solve indeterminate equations?

  1. Kuttaka method

  2. Chakravala method

  3. Bhaskara's method

  4. Aryabhata's method

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Correct Option: A
Explanation:

Harivamsha used the Kuttaka method to solve indeterminate equations.

What is the significance of the Kuttaka method?

  1. It is the first systematic method for solving indeterminate equations

  2. It is a general method that can be applied to a wide range of problems

  3. It is a very efficient method that provides accurate solutions

  4. It is a method that is easy to understand and implement

Show answer
Correct Option: A
Explanation:

The Kuttaka method is significant because it is the first systematic method for solving indeterminate equations.

What is the name of the problem that Harivamsha solved using the Kuttaka method?

  1. The problem of finding the number of ways to distribute a certain amount of money among a certain number of people

  2. The problem of finding the number of ways to arrange a certain number of objects in a certain order

  3. The problem of finding the number of ways to divide a certain number into a certain number of parts

  4. The problem of finding the number of ways to choose a certain number of objects from a certain set of objects

Show answer
Correct Option: A
Explanation:

Harivamsha used the Kuttaka method to solve the problem of finding the number of ways to distribute a certain amount of money among a certain number of people.

What is the name of the theorem that Harivamsha discovered?

  1. Harivamsha's theorem

  2. Brahmagupta's theorem

  3. Bhaskara's theorem

  4. Aryabhata's theorem

Show answer
Correct Option: A
Explanation:

Harivamsha discovered a theorem that is known as Harivamsha's theorem.

What does Harivamsha's theorem state?

  1. The sum of the squares of two sides of a right triangle is equal to the square of the hypotenuse

  2. The sum of the angles of a triangle is 180 degrees

  3. The area of a triangle is equal to half the product of its base and height

  4. The volume of a sphere is equal to four-thirds the product of pi and the cube of its radius

Show answer
Correct Option: A
Explanation:

Harivamsha's theorem states that the sum of the squares of two sides of a right triangle is equal to the square of the hypotenuse.

What is the significance of Harivamsha's theorem?

  1. It is a fundamental theorem in geometry

  2. It is a theorem that has many applications in mathematics and physics

  3. It is a theorem that is easy to understand and prove

  4. It is a theorem that is used in everyday life

Show answer
Correct Option: A
Explanation:

Harivamsha's theorem is significant because it is a fundamental theorem in geometry.

What are some of the applications of Harivamsha's theorem?

  1. It is used to find the length of the hypotenuse of a right triangle

  2. It is used to find the area of a right triangle

  3. It is used to find the volume of a right pyramid

  4. It is used to find the surface area of a right cone

Show answer
Correct Option:
Explanation:

Harivamsha's theorem has many applications, including finding the length of the hypotenuse of a right triangle, finding the area of a right triangle, finding the volume of a right pyramid, and finding the surface area of a right cone.

Who was Harivamsha's teacher?

  1. Bhaskara II

  2. Brahmagupta

  3. Aryabhata

  4. Varahamihira

Show answer
Correct Option: A
Explanation:

Harivamsha's teacher was Bhaskara II.

What is the name of the commentary written by Harivamsha on Bhaskara II's Lilavati?

  1. Lilavati Vivarana

  2. Lilavati Bhashya

  3. Lilavati टीका

  4. Lilavati Samhita

Show answer
Correct Option: A
Explanation:

Harivamsha wrote a commentary on Bhaskara II's Lilavati, which is known as Lilavati Vivarana.

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