In this article, we take a look at the 10 toughest Google interview questions and answers. For more on this, go to 30 Toughest Google Interview Questions and Answers.
10. Design a Mobile Social App for a Chain of Local Orthodontist Offices.
Product Manager
I would start by identifying the specific needs and preferences of the target audience, such as patients and their families. Based on this research, I would then develop a user-centered design that emphasizes ease of use, functionality, and accessibility.
The app could include features such as appointment scheduling and reminders, progress tracking, virtual consultations, educational resources, and social networking capabilities for patients to connect with each other and share their experiences. The app could also integrate with the orthodontist’s existing systems, such as electronic health records and billing software, to provide a seamless user experience.
9. How Would You Improve a Shoe Factory?
Field Operations Specialist
I would focus on implementing automation and digitalization technologies to increase efficiency, reduce labor costs, and improve quality control. Streamlining the supply chain and adopting sustainable manufacturing practices could also help to reduce costs and improve overall productivity.
8. How Many Ways Can You Think of Finding a Needle in a Haystack?
Business Associate
Finding a needle in a haystack is a classic idiom that refers to a challenging and time-consuming task, which can be best done in an efficient manner. This question is designed to test the candidates’ creativity and resourcefulness. While there may be many methods to approach this problem, here are some possible ways to find a needle in a haystack: You can use a powerful magnet, metal detector, or ultrasound and X-rays.
7. What Are the Number of New Book Titles Published in the US Each Year?
Product Manager
The number is about 0.3 million.
6. You Have a Colony on Mars That You Want to Communicate With. How Do You Build a System to Communicate with Them?
Associate Product Manager
To communicate with a colony on Mars, a communication system would need to be established using satellites in orbit around Mars. Multiple satellites in different orbits would be needed to compensate for the planet’s rotation. In addition, distance between Earth and Mars changes as they orbit the sun. This would require re-adjustment of satellites’ positions as well.
5. How Many Haircuts Do You Think Happen in the US Every Year?
Business Associate
This question is meant to test the candidate’s problem-solving ability. The number of haircuts that happen in the US every year can vary widely depending on a number of factors, such as population growth, fashion trends, and economic conditions. However, as the US population stands at 332 million, and assuming each person gets a haircut once every three months, that would mean around 1.32 billion haircuts per year. Of course, this is just an estimate, and the actual number may be higher or lower depending on various factors.
4. How Many Cars Travel across a Bridge Each Day?
Advertising Interview
It is impossible to answer this without additional information. But as far as averages go, we’d need to put cameras on the bridge that can detect license plates, to help count the number of cars for a certain number of days. Then, at best, we could come up with an average for the day.
3. A Coin was Flipped 1,000 times, Returning 560 Heads. Do You Believe the Coin is Fair?
Quantitative Analyst
Questions like these test the candidates’ knowledge of probability. To determine whether the coin is biased, we can use hypothesis testing. The null hypothesis in this case is that the coin is unbiased, meaning it has an equal probability of landing heads or tails. The alternative hypothesis is that the coin is biased, meaning it has a different probability of landing heads or tails.
To test the hypothesis, we can use a significance level of 0.05, which is a commonly used threshold for statistical significance. We can use a one-tailed test since we are only interested in whether the coin is biased towards heads.
Using a binomial test, we can calculate the probability of getting 560 or more heads out of 1,000 flips if the coin is unbiased. With an unbiased coin, the probability of getting heads on any given flip is 0.5. Using the binomial distribution formula, we get:
P(X >= 560) = 1 – P(X < 560) = 1 – binom.dist(559, 1000, 0.5, true) = 0.0363
This means that if the coin is unbiased, the probability of getting 560 or more heads out of 1,000 flips is only 0.0363, or 3.63%. This is less than our significance level of 0.05, which suggests that the result is statistically significant. Therefore, we reject the null hypothesis that the coin is unbiased and conclude that there is evidence to support the alternative hypothesis that the coin is biased towards heads.
2. Estimate the Number of Tennis Balls That Can Fit Into a Plane.
Intern
Assume that there are six seats in a row and a walking space between them in a Boeing 737. Each seat has enough room for the handles and is intended for one person. Assume that a seat’s width is 0.5 meters.As a result, with 6 seats, 6*0.5=3.0m. Assume the passageway is 1.5 meters wide.
Therefore, the plane’s overall width is 3.0 + 1.5 + 0.5 (buffer) meters.
And if a plane has 70 rows, each taking up one meter of space. 5 meters in front of and 5 meters behind each row
So the plane’s height is 80 meters.
The tennis ball has a radius of around 3 cm (0.03 m).
Tennis ball volume = 4/3(pi r3) = 1.33*0.000027*pi
Imagine a Boeing 747 as a cylinder with a 5 m radius and an approximate length (height) of 80 m.
Boeing 747 volume = pi*(r2)*h = 25*80*pi
Tennis balls that can fit on a Boeing 747 are equal to (25*80)/(1.33*0.000027). Six million tennis balls
Tennis balls can’t completely fill the capacity of the cabin; their random packing efficiency is only about 64%; hence, multiplying 6,000,000 by.64 yields 3,840,000.
1. Model Raindrops Falling on a Sidewalk (sidewalk is 1m and raindrops are 1cm). How Can We Know When the Sidewalk is Completely Wet?
Software Engineer
Here’s how you can model it in Python
import math
#Length and width of sidewalk in meters
sidewalk_length = 1.0
sidewalk_width = 1.0
#Diameter of a raindrop in meters
raindrop_diameter = 0.01
#Area of the sidewalk
sidewalk_area = sidewalk_length * sidewalk_width
#Area of a single raindrop
raindrop_radius = raindrop_diameter / 2
raindrop_area = math.pi * (raindrop_radius ** 2)
#Number of raindrops required to cover the entire surface of the sidewalk
num_raindrops = math.ceil(sidewalk_area / raindrop_area)
print(“The number of raindrops required to cover the entire surface of the sidewalk is:”, num_raindrops)
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