Home/ Questions/Q 550346
Next
In Process
Piyush365
  • 1
Asked: 2026-09-29T06:24:31+00:00 In:

If n is a product of two unequal prime numbers, then it has exactly 4 divisors (where n is a positive integer).

  • 1

The proposition is true with divisors 1, p, q and pq. Its converse (“If n has exactly 4 divisors, then it is a product of two unequal prime numbers”) is false; n = 8 = 2³ has 4 divisors.

Class 9 Maths Ganita Manjari Part 2 All Chapter Solutions
Class 9 Maths Ganita Manjari Part 2 Chapter 9 Question Answer

ganita manjari part 2 chapter 9 propositions and their converses solutionsganita manjari part 2 chapter 9 question answerit has exactly 4 divisorsn is a product of two unequal prime numbersncert solutions – ganita manjari part ii propositions and their converses
Share

    1 Answer

    1. The proposition is true because n = pq (where p ≠ q are primes) has divisors 1, p, q and pq. However, the converse—”If n has exactly 4 divisors, then it is a product of two unequal prime numbers”—is false. As a counterexample, n = 8 = 2³ has exactly 4 divisors (1, 2, 4, 8), but 8 is a prime cube, not a product of two unequal primes.

       

      For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 9 Propositions and their Converses Question Answer (2026-27)

      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-9/

      • 0
    Leave an answer

    Leave an answer

    Browse