Mathematics · 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

Which are the essential prime implications of the following Boolean function? f(a, b, c) = a'c + ac' + b'c

  1. a'c and ac'

  2. a'c and b'c

  3. a'c only

  4. ac' and b'c
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Essential prime implicants are prime implicants that cover an output of the function that no combination of other prime implicants is able to cover i.e., if we delete such elements then the property of group, quad, octet is destroyed. By drawing k map and by putting c on left side and a, b on right side we can find that a'c and ac' are essential prime implicants.