Multiple Choice Question: If $a$ and $b$ are integers, then $a+b$ is also an integer. This is true by which of the following properties?

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Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.

The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.
A group of dancers consists of x boys and x girls. If two of the boys are replaced by two girls, then 48% of the group members will be boys. Find the original value of the boys.
Solve for x if $e^{\ln (1 - x)} = 2x$.
Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
Find $\displaystyle \sum_{n = 1}^5 S_n$ where $S_n = 2/n$.
How many three-digit even numbers can be made out from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of digit is not allowed?
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A hemispherical dome is 16 meters in diameter. If the bottom 1-meter strip of the dome’s surface painted, what is the total painted area?
Find the volume generated by revolving the area on the 1st and 4th quadrants by the ellipse y^2 / 9 + x^2 / 4 = 1 about the line x = 3.
If P10,000 is deposited each year for 9 years, how much can a person get annually from the bank every year for 8 years starting 1 year after the 9th deposit is made. Cost of money is 14%.
A circle 8 cm in radius is tangent to a line at A. Another circle 3 cm in radius is tangent also to the same line at B. Find the distance AB if the two circles are tangent externally to each other.
A die is thrown randomly four hundred fifty times. The frequencies of outcomes 1, 2, 3, 4, 5 and 6 were noted as given in the following table:
If 1200 cm^2 of material is available to make a box with a square base and open top, find the largest possible volume of the box.
A line of levels 9.36 km is run to check the elevation of BM 2 which been found to be 31.388 meters with BM 1 of elevation at sea level.
What is the area moment of inertia of a semicircle of radius $r$ about an axis parallel to its base and passing through its centroid.