Indian Mathematical Concepts in Islamic Mathematics

Description: Indian Mathematical Concepts in Islamic Mathematics
Number of Questions: 15
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Which Indian mathematician's work had a significant influence on the development of Islamic mathematics?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Brahmagupta's work, particularly his treatise Brahmasphutasiddhanta, had a profound impact on Islamic mathematicians. His ideas on arithmetic, algebra, and astronomy were widely studied and adopted in the Islamic world.

What is the name of the Indian mathematical concept that involves finding the sum of a series of numbers in which each term is obtained by adding a constant to the previous term?

  1. Fibonacci sequence

  2. Pascal's triangle

  3. Arithmetic progression

  4. Geometric progression


Correct Option: C
Explanation:

Arithmetic progression is an Indian mathematical concept that involves finding the sum of a series of numbers in which each term is obtained by adding a constant to the previous term. It is also known as linear progression.

Which Indian mathematical concept was used by Islamic mathematicians to solve quadratic equations?

  1. Completing the square

  2. Quadratic formula

  3. Bhaskara's method

  4. Ruffini's rule


Correct Option: A
Explanation:

Completing the square is an Indian mathematical concept that was used by Islamic mathematicians to solve quadratic equations. It involves adding and subtracting a constant term to the equation in order to make it a perfect square.

What is the name of the Indian mathematical concept that involves finding the area of a triangle using half the product of its base and height?

  1. Pythagorean theorem

  2. Heron's formula

  3. Brahmagupta's formula

  4. Bhaskara's formula


Correct Option: C
Explanation:

Brahmagupta's formula is an Indian mathematical concept that involves finding the area of a triangle using half the product of its base and height. It is also known as Heron's formula.

Which Indian mathematical concept was used by Islamic mathematicians to develop the concept of sine and cosine?

  1. Pythagorean theorem

  2. Trigonometric ratios

  3. Law of sines

  4. Law of cosines


Correct Option: B
Explanation:

Trigonometric ratios are an Indian mathematical concept that was used by Islamic mathematicians to develop the concept of sine and cosine. These ratios involve the relationship between the sides of a right triangle.

What is the name of the Indian mathematical concept that involves finding the sum of the first n natural numbers?

  1. Arithmetic progression

  2. Geometric progression

  3. Pascal's triangle

  4. Gauss's formula


Correct Option: D
Explanation:

Gauss's formula is an Indian mathematical concept that involves finding the sum of the first n natural numbers. It is also known as the arithmetic series formula.

Which Indian mathematical concept was used by Islamic mathematicians to develop the concept of logarithms?

  1. Completing the square

  2. Quadratic formula

  3. Bhaskara's method

  4. Madhava's series


Correct Option: D
Explanation:

Madhava's series is an Indian mathematical concept that was used by Islamic mathematicians to develop the concept of logarithms. It is an infinite series that can be used to approximate the value of the natural logarithm of a number.

What is the name of the Indian mathematical concept that involves finding the area of a circle using pi multiplied by the square of its radius?

  1. Pythagorean theorem

  2. Heron's formula

  3. Brahmagupta's formula

  4. Bhaskara's formula


Correct Option: D
Explanation:

Bhaskara's formula is an Indian mathematical concept that involves finding the area of a circle using pi multiplied by the square of its radius. It is also known as the circle area formula.

Which Indian mathematical concept was used by Islamic mathematicians to develop the concept of calculus?

  1. Completing the square

  2. Quadratic formula

  3. Bhaskara's method

  4. Madhava's series


Correct Option: D
Explanation:

Madhava's series is an Indian mathematical concept that was used by Islamic mathematicians to develop the concept of calculus. It is an infinite series that can be used to approximate the value of the derivative and integral of a function.

What is the name of the Indian mathematical concept that involves finding the volume of a sphere using four-thirds pi multiplied by the cube of its radius?

  1. Pythagorean theorem

  2. Heron's formula

  3. Brahmagupta's formula

  4. Bhaskara's formula


Correct Option: D
Explanation:

Bhaskara's formula is an Indian mathematical concept that involves finding the volume of a sphere using four-thirds pi multiplied by the cube of its radius. It is also known as the sphere volume formula.

Which Indian mathematical concept was used by Islamic mathematicians to develop the concept of probability?

  1. Completing the square

  2. Quadratic formula

  3. Bhaskara's method

  4. Madhava's series


Correct Option: D
Explanation:

Madhava's series is an Indian mathematical concept that was used by Islamic mathematicians to develop the concept of probability. It is an infinite series that can be used to approximate the value of the probability of an event.

What is the name of the Indian mathematical concept that involves finding the sum of the first n odd natural numbers?

  1. Arithmetic progression

  2. Geometric progression

  3. Pascal's triangle

  4. Gauss's formula


Correct Option: D
Explanation:

Gauss's formula is an Indian mathematical concept that involves finding the sum of the first n odd natural numbers. It is also known as the odd series formula.

Which Indian mathematical concept was used by Islamic mathematicians to develop the concept of number theory?

  1. Completing the square

  2. Quadratic formula

  3. Bhaskara's method

  4. Madhava's series


Correct Option: D
Explanation:

Madhava's series is an Indian mathematical concept that was used by Islamic mathematicians to develop the concept of number theory. It is an infinite series that can be used to approximate the value of the prime numbers.

What is the name of the Indian mathematical concept that involves finding the sum of the first n even natural numbers?

  1. Arithmetic progression

  2. Geometric progression

  3. Pascal's triangle

  4. Gauss's formula


Correct Option: D
Explanation:

Gauss's formula is an Indian mathematical concept that involves finding the sum of the first n even natural numbers. It is also known as the even series formula.

Which Indian mathematical concept was used by Islamic mathematicians to develop the concept of combinatorics?

  1. Completing the square

  2. Quadratic formula

  3. Bhaskara's method

  4. Madhava's series


Correct Option: D
Explanation:

Madhava's series is an Indian mathematical concept that was used by Islamic mathematicians to develop the concept of combinatorics. It is an infinite series that can be used to approximate the value of the number of ways to arrange a set of objects.

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