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How many quarters would it take to match the height of the Empire State Building?

Approach / Explanation

This is a question focused on estimation, so the goal isn't to arrive at the exact answer but to showcase your logical thinking and estimation skills. The interviewer wants to evaluate your ability to deconstruct a complex issue into smaller, more manageable parts. To tackle this question, you will need to estimate both the height of the Empire State Building and the thickness of a quarter. Here are some important points to consider: Determine if you know or can approximate the height of the Empire State Building. Are you aware of the thickness of a quarter? After making your estimations, calculate how many quarters stacked would match the height of the Empire State Building. Keep in mind that the focus is less on the specific figures and more on your reasoning process—how you approach estimation and problem-solving.

Suggested Answer

As far as I remember, the Empire State Building stands approximately 1,400 feet tall. A quarter is fairly thin, roughly 0.06 inches. To determine how many quarters would equal the height of the Empire State Building, I first need to convert the height into inches. Therefore, 1,400 feet converts to 16,800 inches. By dividing that by the thickness of a quarter, I arrive at around 280,000. So, I would estimate that about 280,000 quarters would be needed to match the height of the Empire State Building.

Alternative Answer

Off the top of my head, I believe the Empire State Building is about 1,500 feet tall. A quarter has a thickness of approximately 0.07 inches. To make an accurate estimation, I need to convert the height of the Empire State Building from feet to inches, which equals 18,000 inches. By dividing that by the thickness of a quarter, we arrive at a figure of roughly 257,142 quarters. Therefore, my estimate is that it would take around 257,000 quarters to reach the height of the Empire State Building.

Question Details

Difficulty & Category

Medium
estimation

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Google

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