2022 · Q16
What is the least value of n if 194480 + n = m⁴, where m and n are natural numbers?
Elementary MathematicsNumber System
- A1
- B2
- C3
- D4
Explanation
Since 20⁴ = 160000 < 194480 and 21⁴ = 194481, the smallest fourth power at or above 194480+n is 21⁴, giving n = 1. Hence the keyed option is A.