Mathematics ยท Quantitative Aptitude

Number Theory

438 Questions

Number theory explores the properties and relationships of integers, focusing heavily on prime and composite numbers. Key areas include identifying prime numbers, understanding co primes, and exploring mathematical conjectures like Goldbach's. These questions are a core component of quantitative aptitude sections in banking and government exams.

Prime number identificationCo prime propertiesGoldbach conjectureOdd and even numbersDivisibility rules

Number Theory Questions

Multiple choice

In what year did A. K. Raina publish his paper on the distribution of prime numbers in arithmetic progressions?

  1. 1980

  2. 1982

  3. 1984

  4. 1986
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In 1982, A. K. Raina published a paper titled "On the Distribution of Prime Numbers in Arithmetic Progressions" in the Journal of Number Theory.

Multiple choice

In what year did A. K. Raina publish his paper on the distribution of prime numbers in short intervals?

  1. 1994

  2. 1996

  3. 1998

  4. 2000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In 1996, A. K. Raina published a paper titled "On the Distribution of Prime Numbers in Short Intervals" in the Journal of the London Mathematical Society.

Multiple choice

In what year did A. K. Raina publish his paper on the distribution of prime numbers in arithmetic progressions with common difference 2?

  1. 2003

  2. 2005

  3. 2007

  4. 2009
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In 2005, A. K. Raina published a paper titled "On the Distribution of Prime Numbers in Arithmetic Progressions with Common Difference 2" in the Journal of Number Theory.