This Mechanical Engineering and Math Test Separates Good From Bad Hires

While waiting at the Doctor's office, Sam played a game with the following rules:

• He rolled a fair six-sided dice.
• When he rolled an odd number, he marked that game as a loss.
• When he rolled an even number, another fair six-sided dice was rolled.
• If that second roll was the same number as the first roll, he marked that game as a win. Otherwise, the game was marked as a loss.

What is the probability, as a percentage rounded to the nearest integer, of winning the game?

The research and development department is looking for ways to improve engine efficiency for a gasoline engine that they'll use in a car.

Which changes would increase engine efficiency for the gasoline engine?

A company is developing a temperature alarm, based on the schema below, that should close an electric circuit when the temperature rises above 150°C:

	Linear coefficient of thermal expansion (x10-6K-1)	Volumetric mass density (kg/m3)	Melting point (°C)
Brass	13	8600	1000
Copper	17	8940	1100
Iron	11.8	7870	1500
Mercury	181	13540	-39
Polystyrene	70	1060	100
Steel	12	7800	1600

Based on available materials and their properties, choose materials for the temperature alarm that require the smallest temperature difference to do the task.

For Material 1: ___

For Material 2: ___

Three light bulbs are connected to a motorcycle's battery as shown in the image below:

How much power does the 3rd bulb consume when all three bulbs are turned on?

An HR department analyzed the years of work experience of the company's two largest departments: Production and R&D. Based on the analysis the following report was produced:

What can be concluded about the years of experience for each department?

The frame of a parking space shade cover from the image below must satisfy the following rules:

• It is made of 10 wooden beams: 4 across the width of the cover, 2 across the length of the cover, and 4 vertical supports.
• The total length of all beams is 32 meters.
• The length of the cover is two times larger than its width.
• The length of the vertical supports is 60% of the length of the cover.

What are the dimensions of the parking space shade cover, rounded to one decimal place?

Length: __ meters

Width:  __ meters

Height: __ meters

Before purchasing seeds, a farmer needs to know the area of his land. Since one end of his property is currently unapproachable, he measured only three sides. This is his sketch with measurements:

What is the area of the land?