Monomath – CBSE | GSEB | IB | JEE Maths by Ajay Yadav (Math King of Katargam) – 15+ Years Experience. Study Notes, Video Lessons, Formula Sheets & PYQs.
← Back to chapters

Real Numbers

Previous Year Questions (2022-2024)

📅 Year 2022

  1. Express 140 as product of prime factors.
    Show Solution
    140 = 22 x 5 x 7
  2. Check whether 6n can end with digit 0 for any natural number n.
    Show Solution
    If 6n ends with 0, it must be divisible by 5. But 6n = (2x3)n = 2n x 3n, which has only prime factors 2 and 3. No factor of 5, so never ends with 0.

📅 Year 2023

  1. Express 140 as product of prime factors.
    Show Solution
    140 = 22 x 5 x 7
  2. Check whether 6n can end with digit 0 for any natural number n.
    Show Solution
    If 6n ends with 0, it must be divisible by 5. But 6n = (2x3)n = 2n x 3n, which has only prime factors 2 and 3. No factor of 5, so never ends with 0.

📅 Year 2024

  1. Express 140 as product of prime factors.
    Show Solution
    140 = 22 x 5 x 7
  2. Check whether 6n can end with digit 0 for any natural number n.
    Show Solution
    If 6n ends with 0, it must be divisible by 5. But 6n = (2x3)n = 2n x 3n, which has only prime factors 2 and 3. No factor of 5, so never ends with 0.