A number multiplied by five times itself equals 1445. Form the equation n * (5n) = 1445 and determine the positive value of n.

Introduction / Context:This algebraic simplification question checks your ability to translate an English statement into an equation and solve a simple quadratic for its positive root.

Given Data / Assumptions:

• Statement: A number multiplied by five times itself equals 1445.
• Let the number be n (assume n is real).
• Equation: n * (5n) = 1445.

Concept / Approach:Translate directly to an equation and solve for n. Since n * (5n) = 5n^2, isolate n^2 and take the positive square root (aptitude questions typically ask for the positive value unless specified otherwise).

Step-by-Step Solution:

Verification / Alternative check:Compute 5n^2 with n = 17: 5 * 17^2 = 5 * 289 = 1445, which matches the given total exactly.

Why Other Options Are Wrong:18, 15, 19, and 13 do not satisfy 5n^2 = 1445. Substituting any of these yields values other than 1445.

Common Pitfalls:Interpreting “five times of itself” as n + 5n instead of n * (5n). The phrase clearly intends multiplication leading to 5n^2.

Final Answer:17