Multiple Choice Question: How many ways can 6 persons be seated at a round table if one seat is reserved for a specific person?

How many ways can 6 persons be seated at a round table if one seat is reserved for a specific person?

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

A contractor has 50 men of the same capacity at work on a job. They can complete the job in 30 days, but the contract expired in 20 days.
Albert can do a work in 1 hour, Bryan can do it in 2 hours, and Carl can do it in 4 hours. Working together from start, how long can they do the work?
Compute the following: $\displaystyle \sum_{n = 1}^3 \left( \dfrac{n + 1}{n} \right) - \sum_{n = 1}^3 \left( \dfrac{n}{n + 1} \right)$.
A mass of liquid translated horizontally to the left with a uniform velocity will have its surface:
A circle has its center at (3, -27). It is tangent to the line $3x + 4y - 26 = 0$. Locate the point of tangency.
It is a point formed by intersecting the three altitudes of a triangle.
The volume of fluid passing a certain section of the stream, pipe, or channel, which has the dimension in cubic meter per second is:
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.
I was walking along the road at 6kph when a car dashed past me and only missed me by a few inches.
Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length 3 cm and 4 cm if two sides of the rectangle lie along the legs.
A boy playing under the street-light noticed that the length of shadow of his 5-foot stick erected vertically on the pavement, is 20 inches.
Given $\log_a 2 = x$, $\log_a 5 = y$, and $\log_a 6 = z$, express $\log_a 0.15$ in terms of x, y, and z.
What type of sequence is 12, 6, 4, 3, ...?
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae^(-0.2x)
If $f(x) = \left( 3\sqrt{x} - 4 \right)^2$, then how much does $f(x)$ increase as x goes from 2 to 3?

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