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The Bakhshali Manuscript and Its Mathematical Content

Description: The Bakhshali Manuscript is an ancient Indian manuscript containing a collection of mathematical problems and solutions. It is one of the oldest known mathematical texts in the world, dating back to the 7th century CE. The manuscript covers a wide range of mathematical topics, including arithmetic, algebra, geometry, and astronomy.
Number of Questions: 15
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Tags: indian mathematics bakhshali manuscript ancient mathematics arithmetic algebra geometry astronomy
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In which century was the Bakhshali Manuscript written?

  1. 5th

  2. 6th

  3. 7th

  4. 8th

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Correct Option: C
Explanation:

The Bakhshali Manuscript is believed to have been written in the 7th century CE.

What is the primary language of the Bakhshali Manuscript?

  1. Sanskrit

  2. Prakrit

  3. Hindi

  4. Urdu

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Correct Option: B
Explanation:

The Bakhshali Manuscript is written in Prakrit, a Middle Indo-Aryan language.

Which mathematical topic does the Bakhshali Manuscript cover extensively?

  1. Arithmetic

  2. Algebra

  3. Geometry

  4. Astronomy

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Correct Option: A
Explanation:

The Bakhshali Manuscript covers arithmetic in great detail, including topics such as fractions, decimals, and square roots.

What is the name of the problem that involves finding the area of a triangle in the Bakhshali Manuscript?

  1. The Heron's Formula

  2. The Pythagorean Theorem

  3. The Brahmagupta's Formula

  4. The Bhaskara's Formula

Show answer
Correct Option: C
Explanation:

The Bakhshali Manuscript contains a problem that involves finding the area of a triangle using Brahmagupta's Formula.

Which mathematical concept is used to solve problems related to interest in the Bakhshali Manuscript?

  1. The Rule of 72

  2. The Compound Interest Formula

  3. The Simple Interest Formula

  4. The Annuity Formula

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Correct Option: C
Explanation:

The Bakhshali Manuscript uses the Simple Interest Formula to solve problems related to interest.

What is the name of the problem that involves finding the volume of a sphere in the Bakhshali Manuscript?

  1. The Archimedes' Formula

  2. The Heron's Formula

  3. The Brahmagupta's Formula

  4. The Bhaskara's Formula

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Correct Option: A
Explanation:

The Bakhshali Manuscript contains a problem that involves finding the volume of a sphere using Archimedes' Formula.

Which mathematical concept is used to solve problems related to mixtures in the Bakhshali Manuscript?

  1. The Rule of Mixtures

  2. The Alligation Method

  3. The Ratio and Proportion Method

  4. The Unitary Method

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Correct Option: B
Explanation:

The Bakhshali Manuscript uses the Alligation Method to solve problems related to mixtures.

What is the name of the problem that involves finding the sum of an arithmetic series in the Bakhshali Manuscript?

  1. The Sum of an Arithmetic Series Formula

  2. The Sum of a Geometric Series Formula

  3. The Sum of an Infinite Series Formula

  4. The Sum of a Convergent Series Formula

Show answer
Correct Option: A
Explanation:

The Bakhshali Manuscript contains a problem that involves finding the sum of an arithmetic series using the Sum of an Arithmetic Series Formula.

Which mathematical concept is used to solve problems related to permutations and combinations in the Bakhshali Manuscript?

  1. The Factorial Function

  2. The Permutation Formula

  3. The Combination Formula

  4. The Multinomial Theorem

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Correct Option: B
Explanation:

The Bakhshali Manuscript uses the Permutation Formula to solve problems related to permutations and combinations.

What is the name of the problem that involves finding the area of a circle in the Bakhshali Manuscript?

  1. The Area of a Circle Formula

  2. The Circumference of a Circle Formula

  3. The Diameter of a Circle Formula

  4. The Radius of a Circle Formula

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Correct Option: A
Explanation:

The Bakhshali Manuscript contains a problem that involves finding the area of a circle using the Area of a Circle Formula.

Which mathematical concept is used to solve problems related to progressions in the Bakhshali Manuscript?

  1. The Arithmetic Progression Formula

  2. The Geometric Progression Formula

  3. The Harmonic Progression Formula

  4. The Fibonacci Sequence

Show answer
Correct Option: A
Explanation:

The Bakhshali Manuscript uses the Arithmetic Progression Formula to solve problems related to progressions.

What is the name of the problem that involves finding the square root of a number in the Bakhshali Manuscript?

  1. The Square Root Formula

  2. The Cube Root Formula

  3. The Fourth Root Formula

  4. The Fifth Root Formula

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Correct Option: A
Explanation:

The Bakhshali Manuscript contains a problem that involves finding the square root of a number using the Square Root Formula.

Which mathematical concept is used to solve problems related to ratios and proportions in the Bakhshali Manuscript?

  1. The Ratio and Proportion Method

  2. The Unitary Method

  3. The Percentage Method

  4. The Rule of Three

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Correct Option: A
Explanation:

The Bakhshali Manuscript uses the Ratio and Proportion Method to solve problems related to ratios and proportions.

What is the name of the problem that involves finding the volume of a cube in the Bakhshali Manuscript?

  1. The Volume of a Cube Formula

  2. The Surface Area of a Cube Formula

  3. The Diagonal of a Cube Formula

  4. The Edge of a Cube Formula

Show answer
Correct Option: A
Explanation:

The Bakhshali Manuscript contains a problem that involves finding the volume of a cube using the Volume of a Cube Formula.

Which mathematical concept is used to solve problems related to triangles in the Bakhshali Manuscript?

  1. The Pythagorean Theorem

  2. The Sine Rule

  3. The Cosine Rule

  4. The Tangent Rule

Show answer
Correct Option: A
Explanation:

The Bakhshali Manuscript uses the Pythagorean Theorem to solve problems related to triangles.

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