Question:

If m and n are natural numbers such that n > 1, and mn = 225 × 340, then m − n equals

Updated On: Nov 30, 2024
  • 209942
  • 209947
  • 209932
  • 209937
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

We can factorize mn:

mn = 225 × 340 = (25)5 × (38)5 = 325 × 65615

Comparing the exponents, we can see that m = 32 × 6561 = 209952 and n = 5.

Therefore, m - n = 209952 - 5 = 209947.

Was this answer helpful?
0
0

Questions Asked in CAT exam

View More Questions