Kalidasa's Work on Mathematics

Description: Kalidasa's Work on Mathematics
Number of Questions: 15
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Which of the following is not a work of Kalidasa related to mathematics?

  1. Lilavati

  2. Bijaganita

  3. Aryabhatiya

  4. Siddhanta Siromani


Correct Option: C
Explanation:

Lilavati, Bijaganita, and Siddhanta Siromani are all works of Kalidasa related to mathematics, while Aryabhatiya is a work of Aryabhata.

In which of his works does Kalidasa discuss the concept of zero?

  1. Lilavati

  2. Bijaganita

  3. Aryabhatiya

  4. Siddhanta Siromani


Correct Option: B
Explanation:

In his work Bijaganita, Kalidasa discusses the concept of zero and its use in mathematical operations.

What is the name of the chapter in Lilavati where Kalidasa discusses the rule of three?

  1. Vyavahara-bhyasa

  2. Kuttaka

  3. Bhaskara

  4. Siddhanta


Correct Option: A
Explanation:

In the chapter Vyavahara-bhyasa of Lilavati, Kalidasa discusses the rule of three, which is a method for solving proportions.

Which of the following is not a type of equation discussed by Kalidasa in Bijaganita?

  1. Linear equation

  2. Quadratic equation

  3. Cubic equation

  4. Quartic equation


Correct Option: D
Explanation:

Kalidasa discusses linear, quadratic, and cubic equations in Bijaganita, but not quartic equations.

What is the name of the method used by Kalidasa to solve quadratic equations?

  1. Completing the square

  2. Factorization

  3. Quadratic formula

  4. Vieta's formulas


Correct Option: A
Explanation:

Kalidasa used the method of completing the square to solve quadratic equations.

In which of his works does Kalidasa discuss the concept of negative numbers?

  1. Lilavati

  2. Bijaganita

  3. Aryabhatiya

  4. Siddhanta Siromani


Correct Option: B
Explanation:

In his work Bijaganita, Kalidasa discusses the concept of negative numbers and their use in mathematical operations.

What is the name of the chapter in Siddhanta Siromani where Kalidasa discusses the topic of astronomy?

  1. Grahaganita

  2. Kuttaka

  3. Bhaskara

  4. Siddhanta


Correct Option: A
Explanation:

In the chapter Grahaganita of Siddhanta Siromani, Kalidasa discusses the topic of astronomy, including the motion of planets and the calculation of eclipses.

Which of the following is not a mathematical concept discussed by Kalidasa in his works?

  1. Pythagorean theorem

  2. Binomial theorem

  3. Rule of three

  4. Pascal's triangle


Correct Option: D
Explanation:

Kalidasa discusses the Pythagorean theorem, binomial theorem, and rule of three in his works, but not Pascal's triangle.

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

  1. Completing the square

  2. Factorization

  3. Quadratic formula

  4. Kuttaka


Correct Option: D
Explanation:

Kalidasa used the Kuttaka method to solve indeterminate equations.

In which of his works does Kalidasa discuss the topic of geometry?

  1. Lilavati

  2. Bijaganita

  3. Aryabhatiya

  4. Siddhanta Siromani


Correct Option: D
Explanation:

In his work Siddhanta Siromani, Kalidasa discusses the topic of geometry, including the measurement of angles and areas.

Which of the following is not a type of problem discussed by Kalidasa in Lilavati?

  1. Profit and loss

  2. Interest

  3. Mixtures

  4. Permutations and combinations


Correct Option: D
Explanation:

Kalidasa discusses profit and loss, interest, and mixtures in Lilavati, but not permutations and combinations.

What is the name of the chapter in Bijaganita where Kalidasa discusses the topic of algebra?

  1. Adhyaya

  2. Pada

  3. Varga

  4. Ghanta


Correct Option: A
Explanation:

In the chapter Adhyaya of Bijaganita, Kalidasa discusses the topic of algebra, including the operations of addition, subtraction, multiplication, and division.

Which of the following is not a type of equation discussed by Kalidasa in Siddhanta Siromani?

  1. Linear equation

  2. Quadratic equation

  3. Cubic equation

  4. Diophantine equation


Correct Option: D
Explanation:

Kalidasa discusses linear, quadratic, and cubic equations in Siddhanta Siromani, but not Diophantine equations.

What is the name of the method used by Kalidasa to solve linear equations?

  1. Substitution

  2. Elimination

  3. Cramer's rule

  4. Gauss-Jordan elimination


Correct Option: A
Explanation:

Kalidasa used the method of substitution to solve linear equations.

In which of his works does Kalidasa discuss the topic of trigonometry?

  1. Lilavati

  2. Bijaganita

  3. Aryabhatiya

  4. Siddhanta Siromani


Correct Option: D
Explanation:

In his work Siddhanta Siromani, Kalidasa discusses the topic of trigonometry, including the calculation of sines, cosines, and tangents.

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