Indian Mathematical Challenges

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.

5 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

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
Question 2 Multiple Choice (Single Answer)

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.
Question 3 Multiple Choice (Single Answer)

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.
Question 4 Multiple Choice (Single Answer)

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.
Question 5 Multiple Choice (Single Answer)

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.