The Karanakutuhala: A Mathematical Gem from Kerala

Description: The Karanakutuhala is a 16th-century mathematical treatise written by the Indian mathematician and astronomer Nilakantha Somayaji. The text covers a wide range of mathematical topics, including arithmetic, geometry, algebra, and astronomy. It is considered one of the most important mathematical works in the history of Kerala mathematics.
Number of Questions: 15
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Tags: indian mathematics classical indian mathematics texts the karanakutuhala nilakantha somayaji
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Who wrote the Karanakutuhala?

  1. Aryabhata

  2. Brahmagupta

  3. Nilakantha Somayaji

  4. Bhaskara II


Correct Option: C
Explanation:

Nilakantha Somayaji was a 16th-century Indian mathematician and astronomer who wrote the Karanakutuhala.

In which century was the Karanakutuhala written?

  1. 12th century

  2. 13th century

  3. 14th century

  4. 16th century


Correct Option: D
Explanation:

The Karanakutuhala was written in the 16th century.

What is the main topic of the Karanakutuhala?

  1. Arithmetic

  2. Geometry

  3. Algebra

  4. Astronomy


Correct Option:
Explanation:

The Karanakutuhala covers a wide range of mathematical topics, including arithmetic, geometry, algebra, and astronomy.

What is the significance of the Karanakutuhala?

  1. It is one of the most important mathematical works in the history of Kerala mathematics.

  2. It contains the first known proof of the Pythagorean theorem.

  3. It contains the first known solution to the quadratic equation.

  4. It contains the first known derivation of the formula for the area of a circle.


Correct Option: A
Explanation:

The Karanakutuhala is considered one of the most important mathematical works in the history of Kerala mathematics.

What is the name of the chapter in the Karanakutuhala that deals with arithmetic?

  1. Lilavati

  2. Bijaganita

  3. Siddhantasiromani

  4. Karanakutuhala


Correct Option: A
Explanation:

The chapter in the Karanakutuhala that deals with arithmetic is called Lilavati.

What is the name of the chapter in the Karanakutuhala that deals with geometry?

  1. Lilavati

  2. Bijaganita

  3. Siddhantasiromani

  4. Karanakutuhala


Correct Option: B
Explanation:

The chapter in the Karanakutuhala that deals with geometry is called Bijaganita.

What is the name of the chapter in the Karanakutuhala that deals with algebra?

  1. Lilavati

  2. Bijaganita

  3. Siddhantasiromani

  4. Karanakutuhala


Correct Option: C
Explanation:

The chapter in the Karanakutuhala that deals with algebra is called Siddhantasiromani.

What is the name of the chapter in the Karanakutuhala that deals with astronomy?

  1. Lilavati

  2. Bijaganita

  3. Siddhantasiromani

  4. Karanakutuhala


Correct Option: D
Explanation:

The chapter in the Karanakutuhala that deals with astronomy is called Karanakutuhala.

What is the name of the commentary on the Karanakutuhala written by Govinda Bhatta?

  1. Yuktibhāṣā

  2. Vivaraṇa

  3. Bālaprakāśikā

  4. Laghubhāskariya


Correct Option: A
Explanation:

The commentary on the Karanakutuhala written by Govinda Bhatta is called Yuktibhāṣā.

What is the name of the commentary on the Karanakutuhala written by Nārāyaṇa Pandita?

  1. Yuktibhāṣā

  2. Vivaraṇa

  3. Bālaprakāśikā

  4. Laghubhāskariya


Correct Option: B
Explanation:

The commentary on the Karanakutuhala written by Nārāyaṇa Pandita is called Vivaraṇa.

What is the name of the commentary on the Karanakutuhala written by Parameśvara?

  1. Yuktibhāṣā

  2. Vivaraṇa

  3. Bālaprakāśikā

  4. Laghubhāskariya


Correct Option: C
Explanation:

The commentary on the Karanakutuhala written by Parameśvara is called Bālaprakāśikā.

What is the name of the commentary on the Karanakutuhala written by Jyeṣṭhadeva?

  1. Yuktibhāṣā

  2. Vivaraṇa

  3. Bālaprakāśikā

  4. Laghubhāskariya


Correct Option: D
Explanation:

The commentary on the Karanakutuhala written by Jyeṣṭhadeva is called Laghubhāskariya.

What is the name of the theorem in the Karanakutuhala that gives a formula for the area of a triangle?

  1. Heron's formula

  2. Brahmagupta's formula

  3. Bhaskara's formula

  4. Nilakantha's formula


Correct Option: D
Explanation:

The theorem in the Karanakutuhala that gives a formula for the area of a triangle is called Nilakantha's formula.

What is the name of the theorem in the Karanakutuhala that gives a formula for the volume of a sphere?

  1. Heron's formula

  2. Brahmagupta's formula

  3. Bhaskara's formula

  4. Nilakantha's formula


Correct Option: C
Explanation:

The theorem in the Karanakutuhala that gives a formula for the volume of a sphere is called Bhaskara's formula.

What is the name of the theorem in the Karanakutuhala that gives a formula for the circumference of a circle?

  1. Heron's formula

  2. Brahmagupta's formula

  3. Bhaskara's formula

  4. Nilakantha's formula


Correct Option: B
Explanation:

The theorem in the Karanakutuhala that gives a formula for the circumference of a circle is called Brahmagupta's formula.

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