Indian Mathematical Challenges

Description: This quiz is designed to test your knowledge of Indian Mathematical Challenges. It covers a wide range of topics, including number theory, algebra, geometry, and calculus.
Number of Questions: 5
Created by:
Tags: indian mathematics mathematical challenges number theory algebra geometry calculus
Attempted 0/5 Correct 0 Score 0

What is the largest known prime number?

  1. 2^82,589,933 - 1

  2. 2^77,232,917 - 1

  3. 2^74,207,281 - 1

  4. 2^69,725,937 - 1


Correct Option: A
Explanation:

The largest known prime number as of 2023 is 2^82,589,933 - 1, which has 24,862,048 digits.

What is the Goldbach conjecture?

  1. Every even integer greater than 2 can be expressed as the sum of two primes.

  2. Every odd integer greater than 3 can be expressed as the sum of three primes.

  3. Every integer greater than 5 can be expressed as the sum of four primes.

  4. Every integer greater than 7 can be expressed as the sum of five primes.


Correct Option: A
Explanation:

The Goldbach conjecture is one of the most famous unsolved problems in mathematics. It states that every even integer greater than 2 can be expressed as the sum of two primes.

What is the Riemann hypothesis?

  1. The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at negative even integers and complex numbers with real part 1/2.

  2. The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at negative odd integers and complex numbers with real part 1/2.

  3. The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at negative even integers and complex numbers with real part 3/4.

  4. The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at negative odd integers and complex numbers with real part 3/4.


Correct Option: A
Explanation:

The Riemann hypothesis is one of the most famous unsolved problems in mathematics. It states that the Riemann zeta function has its zeros only at negative even integers and complex numbers with real part 1/2.

What is the Pythagorean theorem?

  1. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

  2. In a right triangle, the square of the hypotenuse is equal to the difference of the squares of the other two sides.

  3. In a right triangle, the square of the hypotenuse is equal to the product of the squares of the other two sides.

  4. In a right triangle, the square of the hypotenuse is equal to the quotient of the squares of the other two sides.


Correct Option: A
Explanation:

The Pythagorean theorem is one of the most famous theorems in mathematics. It states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What is the calculus of variations?

  1. The calculus of variations is a branch of mathematics that deals with the optimization of functionals.

  2. The calculus of variations is a branch of mathematics that deals with the optimization of functions.

  3. The calculus of variations is a branch of mathematics that deals with the optimization of equations.

  4. The calculus of variations is a branch of mathematics that deals with the optimization of inequalities.


Correct Option: A
Explanation:

The calculus of variations is a branch of mathematics that deals with the optimization of functionals. It is used to find the extrema of functionals, which are functions that take functions as their arguments.

- Hide questions