Solve for the missing number: 250 / √(?) = 10. What is the value of ?
Aptitude
Square Root and Cube Root
Difficulty: Easy
Choose an option
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A25
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B250
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C625
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D2500
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E100
Answer
Correct Answer: 625
Explanation
Introduction / Context:A simple radical equation in the denominator. Clear the denominator first, then isolate the square root, square, and solve.
Given Data / Assumptions:250 / √(?) = 10.
Concept / Approach:Cross-multiply to get √(?) in terms of known numbers, then square.
Step-by-Step Solution:
250 = 10 * √(?) ⇒ √(?) = 25? = 25^2 = 625Verification / Alternative check:Check: 250 / √625 = 250 / 25 = 10.
Why Other Options Are Wrong:25 and 250 are values of √(?) or the original numerator; 2500 over-squares; 100 is unrelated.
Common Pitfalls:Squaring before isolating the root, leading to algebraic mistakes.
Final Answer:625