Solve for the missing number: If √(?) / 200 = 0.02, then what is the value of ?
Aptitude
Square Root and Cube Root
Difficulty: Easy
Choose an option
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A0.4
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B4
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C16
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D1.6
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E400
Answer
Correct Answer: 16
Explanation
Introduction / Context:This is a direct equation with a square root. Isolate the root term first, then square both sides to remove the radical.
Given Data / Assumptions:√(?) / 200 = 0.02.
Concept / Approach:Multiply both sides by 200 to isolate √(?), then square.
Step-by-Step Solution:
√(?) = 0.02 * 200 = 4? = 4^2 = 16Verification / Alternative check:Plug back: √16 / 200 = 4 / 200 = 0.02. Correct.
Why Other Options Are Wrong:0.4, 1.6, 4, 400 stem from stopping early or squaring/multiplying incorrectly.
Common Pitfalls:Squaring only one side or forgetting to isolate the square root before squaring.
Final Answer:16