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Applications of Indian Mathematics in Economic Modeling

Description: This quiz will test your understanding of the applications of Indian mathematics in economic modeling.
Number of Questions: 15
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Tags: indian mathematics economic modeling applications
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What is the Fibonacci sequence?

  1. A sequence of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1.

  2. A sequence of numbers in which each number is the product of the two preceding ones, starting from 1 and 1.

  3. A sequence of numbers in which each number is the difference of the two preceding ones, starting from 0 and 1.

  4. A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 1 and 1.

Show answer
Correct Option: A
Explanation:

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1. The sequence is named after the Italian mathematician Leonardo of Pisa, known as Fibonacci.

What is the Golden Ratio?

  1. The ratio of two numbers that is equal to the ratio of their sum to the larger number.

  2. The ratio of two numbers that is equal to the ratio of their difference to the smaller number.

  3. The ratio of two numbers that is equal to the ratio of their product to the larger number.

  4. The ratio of two numbers that is equal to the ratio of their quotient to the smaller number.

Show answer
Correct Option: A
Explanation:

The Golden Ratio is a special number approximately equal to 1.618. It is the ratio of two numbers that is equal to the ratio of their sum to the larger number.

What is the Lucas sequence?

  1. A sequence of numbers in which each number is the sum of the two preceding ones, starting from 2 and 1.

  2. A sequence of numbers in which each number is the product of the two preceding ones, starting from 2 and 1.

  3. A sequence of numbers in which each number is the difference of the two preceding ones, starting from 2 and 1.

  4. A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 2 and 1.

Show answer
Correct Option: A
Explanation:

The Lucas sequence is a series of numbers in which each number is the sum of the two preceding ones, starting from 2 and 1. The sequence is named after the French mathematician François Édouard Anatole Lucas.

What is the Pell sequence?

  1. A sequence of numbers in which each number is the sum of the two preceding ones, starting from 1 and 2.

  2. A sequence of numbers in which each number is the product of the two preceding ones, starting from 1 and 2.

  3. A sequence of numbers in which each number is the difference of the two preceding ones, starting from 1 and 2.

  4. A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 1 and 2.

Show answer
Correct Option: A
Explanation:

The Pell sequence is a series of numbers in which each number is the sum of the two preceding ones, starting from 1 and 2. The sequence is named after the English mathematician John Pell.

What is the Catalan sequence?

  1. A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

  2. A sequence of numbers that gives the number of ways to tile a rectangle with n squares.

  3. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

  4. A sequence of numbers that gives the number of ways to partition a set of n objects into two subsets.

Show answer
Correct Option: A
Explanation:

The Catalan sequence is a series of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

What is the Stirling sequence?

  1. A sequence of numbers that gives the number of permutations of n objects.

  2. A sequence of numbers that gives the number of combinations of n objects taken r at a time.

  3. A sequence of numbers that gives the number of ways to partition a set of n objects into k subsets.

  4. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

Show answer
Correct Option: A
Explanation:

The Stirling sequence is a series of numbers that gives the number of permutations of n objects.

What is the Bell sequence?

  1. A sequence of numbers that gives the number of partitions of a set of n objects.

  2. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

  3. A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

  4. A sequence of numbers that gives the number of ways to tile a rectangle with n squares.

Show answer
Correct Option: A
Explanation:

The Bell sequence is a series of numbers that gives the number of partitions of a set of n objects.

What is the Motzkin sequence?

  1. A sequence of numbers that gives the number of ways to triangulate a convex n-gon.

  2. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

  3. A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

  4. A sequence of numbers that gives the number of ways to tile a rectangle with n squares.

Show answer
Correct Option: A
Explanation:

The Motzkin sequence is a series of numbers that gives the number of ways to triangulate a convex n-gon.

What is the Narayana sequence?

  1. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

  2. A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

  3. A sequence of numbers that gives the number of ways to tile a rectangle with n squares.

  4. A sequence of numbers that gives the number of ways to partition a set of n objects into two subsets.

Show answer
Correct Option: A
Explanation:

The Narayana sequence is a series of numbers that gives the number of ways to arrange n objects in a circle.

What is the Catalan-Motzkin sequence?

  1. A sequence of numbers that gives the number of ways to triangulate a convex n-gon.

  2. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

  3. A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

  4. A sequence of numbers that gives the number of ways to tile a rectangle with n squares.

Show answer
Correct Option: A
Explanation:

The Catalan-Motzkin sequence is a series of numbers that gives the number of ways to triangulate a convex n-gon.

What is the Schröder-Hipparcus sequence?

  1. A sequence of numbers that gives the number of ways to arrange n objects in a circle.

  2. A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.

  3. A sequence of numbers that gives the number of ways to tile a rectangle with n squares.

  4. A sequence of numbers that gives the number of ways to partition a set of n objects into two subsets.

Show answer
Correct Option: A
Explanation:

The Schröder-Hipparcus sequence is a series of numbers that gives the number of ways to arrange n objects in a circle.

What is the Perrin sequence?

  1. A sequence of numbers in which each number is the sum of the two preceding ones, starting from 3 and 0.

  2. A sequence of numbers in which each number is the product of the two preceding ones, starting from 3 and 0.

  3. A sequence of numbers in which each number is the difference of the two preceding ones, starting from 3 and 0.

  4. A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 3 and 0.

Show answer
Correct Option: A
Explanation:

The Perrin sequence is a series of numbers in which each number is the sum of the two preceding ones, starting from 3 and 0.

What is the Van der Laan sequence?

  1. A sequence of numbers in which each number is the sum of the two preceding ones, starting from 1 and 1.

  2. A sequence of numbers in which each number is the product of the two preceding ones, starting from 1 and 1.

  3. A sequence of numbers in which each number is the difference of the two preceding ones, starting from 1 and 1.

  4. A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 1 and 1.

Show answer
Correct Option: A
Explanation:

The Van der Laan sequence is a series of numbers in which each number is the sum of the two preceding ones, starting from 1 and 1.

What is the Jacobsthal sequence?

  1. A sequence of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1.

  2. A sequence of numbers in which each number is the product of the two preceding ones, starting from 0 and 1.

  3. A sequence of numbers in which each number is the difference of the two preceding ones, starting from 0 and 1.

  4. A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 0 and 1.

Show answer
Correct Option: A
Explanation:

The Jacobsthal sequence is a series of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1.

What is the Tribonacci sequence?

  1. A sequence of numbers in which each number is the sum of the three preceding ones, starting from 0, 0, and 1.

  2. A sequence of numbers in which each number is the product of the three preceding ones, starting from 0, 0, and 1.

  3. A sequence of numbers in which each number is the difference of the three preceding ones, starting from 0, 0, and 1.

  4. A sequence of numbers in which each number is the quotient of the three preceding ones, starting from 0, 0, and 1.

Show answer
Correct Option: A
Explanation:

The Tribonacci sequence is a series of numbers in which each number is the sum of the three preceding ones, starting from 0, 0, and 1.

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