Skill Innovation & Employability Program Quiz

The given equation is a quadratic equation in the form of x^2 - 16 = 0. To solve this equation, we can factor it as (x - 4)(x + 4) = 0. Setting each factor to zero, we get x - 4 = 0 and x + 4 = 0. Solving these equations, we find that x = 4 and x = -4 are the two roots of the equation. Therefore, the correct answer is x = 4, -4.

The correct answer is C8H18. This is because the chemical formula for iso-octane is C8H18, which indicates that it contains 8 carbon atoms and 18 hydrogen atoms. The other options (C7H17, C6H18, C7H18) have different combinations of carbon and hydrogen atoms, which do not match the correct formula for iso-octane.

A positive angle of 30° is equivalent to a negative angle of -330°. This is because a positive angle of 30° represents a counterclockwise rotation of 30°, while a negative angle of -330° represents a clockwise rotation of 330° in the opposite direction. Since 330° is greater than 180°, it is considered a negative angle. Therefore, -330° is the correct answer.

The specific gravity of a substance refers to its density compared to the density of water. A specific gravity of less than 1 indicates that the substance is lighter than water. Since petrol has a specific gravity of 0.75, it is lighter than water and will float on its surface.

The engine oil viscosity is defined by the society of automotive engineers (SAE) ratings. The SAE ratings determine the oil's ability to flow at different temperatures. These ratings are represented by a combination of numbers and letters, such as 10W-30 or 5W-20. The first number indicates the oil's viscosity at low temperatures, while the second number represents its viscosity at high temperatures. This helps vehicle owners choose the right oil for their engine, ensuring optimal performance and protection.

An over-inflated tire will wear the tread most near the center. When a tire is over-inflated, the center of the tread bulges outwards, causing the center of the tire to have more contact with the road surface. This excessive contact leads to increased wear in the center of the tread.

In an irreversible process, heat is lost because it cannot be completely converted into work. This is due to factors such as friction, heat transfer to the surroundings, or other irreversibilities. Irreversible processes are characterized by a decrease in the system's entropy, which means that heat is lost to the surroundings, resulting in a loss of energy. Therefore, the statement "There is a loss of heat in an irreversible process" is true.

Two speed reverse gear arrangement is generally provided in tractors. Tractors often require the ability to move in reverse at different speeds depending on the task at hand. This can include tasks such as plowing fields or maneuvering in tight spaces. Having a two speed reverse gear arrangement allows tractors to have more control and flexibility when operating in reverse, making them more efficient and versatile in their use.

The aspect ratio for the tyre is 65. The aspect ratio is the ratio of the height of the tire's cross-section to its width. In this case, the width of the tire is 175 mm and the height is 65% of the width. Therefore, the aspect ratio is 65.

Toe-in refers to the inward angle of the front wheels when viewed from above. This alignment technique is used to ensure that the wheels are parallel to each other and perpendicular to the ground. By having a slight toe-in, the wheels are positioned to roll in a straight line when the vehicle is in motion. This helps to stabilize the steering and improve handling. Additionally, toe-in also helps to prevent both sides of the tires from slipping and reduces excessive tire wear. Therefore, the statement is true.

The brake warning light is designed to alert the driver of any issues with the hydraulic system in the vehicle's brakes. This includes the failure of either the primary or secondary circuit of the hydraulic system. When either of these circuits fails, it can result in reduced brake performance or a complete loss of braking ability. Therefore, the brake warning light serves as an important safety feature, indicating to the driver that there is a problem with the hydraulic system that needs immediate attention.

The odometer is an instrument used for measuring distance. It is commonly found in vehicles and displays the total distance traveled by the vehicle. It is an important tool for tracking mileage and determining the wear and tear on a vehicle.

Diesel fuel has a higher boiling point compared to gasoline because it is a heavier and denser fuel. The boiling point of diesel fuel falls within the range of 180°C to 360°C. This means that diesel fuel will start to vaporize and turn into gas at temperatures within this range.

The correct answer is x = 1, y = 1, z = -1. This is the solution to the system of equations given. By solving the system using elimination or substitution method, we can find the values of x, y, and z that satisfy all three equations. In this case, substituting the value of z = -1 into the first two equations allows us to solve for x and y, resulting in x = 1 and y = 1. Therefore, the correct answer is x = 1, y = 1, z = -1.

When a heat treated glass used in automobiles cracks, it shatters into small particles instead of sharp-edged fragments. This is because heat treated glass undergoes a process called tempering, where it is heated and then rapidly cooled. This process creates internal stresses in the glass, making it stronger and more resistant to breakage. When the glass does break, these internal stresses cause it to break into small, less dangerous particles instead of large, sharp-edged fragments. This is a safety feature designed to minimize the risk of injury in case of an accident or impact.

In a four-wheel drive (4WD) vehicle, the number of gearboxes is 2. This is because a 4WD system typically consists of two gearboxes - one for the front wheels and one for the rear wheels. These gearboxes allow power to be transferred from the engine to all four wheels, providing better traction and control in off-road or slippery conditions. Having two gearboxes allows for independent control and distribution of power to each set of wheels, enhancing the vehicle's off-road capabilities.

A 12-volt car battery typically consists of six individual cells, each producing around 2 volts. These cells are connected in series, meaning the positive terminal of one cell is connected to the negative terminal of the next, resulting in a total voltage of 12 volts. Therefore, the correct answer is 6.

The correct answer is "fuel can be used in a test engine without knocking". The highest useful compression ratio (HUCR) refers to the maximum compression ratio at which fuel can be utilized in an engine without causing knocking. Knocking occurs when the air-fuel mixture in the engine's combustion chamber ignites prematurely, leading to inefficient combustion and potential engine damage. Therefore, the HUCR is the compression ratio that allows for the optimal use of fuel without experiencing knocking, ensuring efficient engine performance.

The torque available at the driving wheels can be calculated by multiplying the torque developed by the engine with the gear ratio and the final drive ratio, and then dividing by the overall transmission efficiency. In this case, the torque developed by the engine is 125 N-m, the gear ratio is 1.75, the final drive ratio is 4.11, and the overall transmission efficiency is 90%. Therefore, the torque available at the driving wheels is (125 N-m * 1.75 * 4.11) / 0.9 = 809.1 N-m.

At room temperature, the current in an intrinsic semiconductor is due to both holes and electrons. In an intrinsic semiconductor, the number of free electrons and holes is equal. At room temperature, some electrons gain enough energy to break free from their covalent bonds and become free electrons, while leaving behind holes. These free electrons and holes are responsible for the flow of current in the semiconductor. Therefore, the correct answer is "holes and electrons."

In a series RC circuit, the total voltage across the circuit is equal to the sum of the voltage across the resistor and the voltage across the capacitor. In this case, the voltage across the resistor is 12 V(rms) and the voltage across the capacitor is 15 V(rms). Therefore, the total voltage across the circuit, which is the rms source voltage, is 12 V(rms) + 15 V(rms) = 27 V.

If the valve clearances are excessively large, it means that there is too much space between the valve and the valve seat when the valve is closed. This can result in incomplete valve closure, meaning that the valve does not fully seal against the valve seat. This can lead to a variety of issues, such as loss of compression, poor engine performance, and potentially even engine damage.

The function of a governor in automobiles is to maintain a constant engine speed. This is important for several reasons. Firstly, it ensures that the engine operates efficiently and smoothly, reducing the risk of damage or wear. Secondly, it allows for consistent power delivery, which is especially important in applications such as generators or industrial machinery. Additionally, maintaining a constant engine speed can help improve fuel efficiency by optimizing the combustion process. Overall, a governor plays a crucial role in regulating and stabilizing the engine speed to ensure optimal performance and longevity.

The explanation for the given correct answer is that the work function is not the maximum energy required by the fastest electron at 0 K to escape from the metal surface. The work function is actually the minimum energy required for an electron to be ejected from the surface of a metal, not the maximum energy. The maximum energy required by the fastest electron to escape from the metal surface is known as the stopping potential.

The admittance of a parallel combination of a resistor and a capacitor can be calculated using the formula Y = G + jB, where G is the conductance and B is the susceptance. The conductance G is equal to the reciprocal of the resistance, and the susceptance B is equal to the reciprocal of the reactance of the capacitor, which is given by 1/(2πfC), where f is the frequency and C is the capacitance. In this case, the resistance is 470Ω and the capacitance is 0.2F. Plugging these values into the formulas, we get G = 1/470 and B = 1/(2π(2500)(0.2)). Simplifying these values, we get G = 2.12mS and B = 3.14mS. Therefore, the admittance is 2.12mS + j3.14mS.

During ABS (Anti-lock Braking System) operation, the brake pedal is pushed upward forcefully, causing the pedal stroke to become longer. This forceful upward movement of the pedal can result in a slight kickback sensation being transmitted to the driver's foot. Therefore, all of the above options are correct.

The correct answer describes the construction of a planetary gear type differential where one drive shaft is connected to the central gear and the other drive shaft is connected to the planetary gear. This arrangement allows for torque to be distributed between the two drive shafts, providing power to both wheels and allowing them to rotate at different speeds when necessary, such as during turns.

A cycle consisting of one constant pressure, one constant volume, and two isentropic processes is known as the Diesel cycle. This cycle is commonly used in diesel engines, where fuel is injected into the cylinder at constant pressure, followed by a constant volume combustion process. The expansion and compression processes are isentropic, meaning they occur without any heat transfer to or from the system. Overall, the Diesel cycle is an idealized representation of the processes happening in a diesel engine.

As the speed of the car doubles from 20 kmph to 40 kmph, the air resistance experienced by the car will increase by a factor of 4. This is because air resistance is directly proportional to the square of the velocity. Therefore, the air resistance at 40 kmph will be 4 times the air resistance at 20 kmph, which is represented by 4R.

The correct answer is that the differential carrier houses differential pinion gears and side gears. This means that the differential carrier contains both the pinion gears and side gears of the differential. The pinion gears mesh with the side gears, allowing for the distribution of torque between the two drive shafts. This design allows the left side gear and the differential carrier to rotate at different speeds, providing smooth and efficient power transfer to the wheels.