Multiple Choice Question: In how many ways can you line up 5 persons if two persons refuse to follow each other?

In how many ways can you line up 5 persons if two persons refuse to follow each other?

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

All factors being equal, which of the following concrete mixes has the highest 28-day compressive strength?
Find the sum of the first terms of the progression 2, 4, 8, 16,…
At a point A that is 50 m from the base of a monument, the angle of elevation to the top of the monument is twice as large as the angle of elevation from a point B that is 150 m from the monument.
Given a water droplet with surface tension $\sigma$ and gage pressure $\Delta p$, determine its diameter.
A vertical summit curve has tangent grades of +2.6% and -1.5%. Using h1 = 1.37 m and h2 = 0.1 m, calculate the minimum length of curve if the required sight distance is 140 m.
10 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once...
Three times Dick's age plus Tom's age equals twice Harry's age. Double the cube of Harry's age is equal to three times the cube of Dick's age added to the cube of Tom's age. Their respective ages are relatively prime to each other. How old is Harry?
To make lemonade, a recipe requires 4 lemons, 30 ounces of sugar, and 2 pints of water. One can squeeze out 0.4 cups of 5% citric acid from an average lemon.
What is the length of the line with slope 4/3 from point (6, 4) to the y-axis?
Is x - 2 a factor of x^3 - 3x^2 + 7x - 10?
Solve for $x^2$ if $48^{1/x} = 4 \times 3^{1/x}$.
What does the bearing N 25o W mean?
Find the equation of the line through (4, 7) and passing at a distance of 1 unit from the origin.
Two casks A and B were filled with two kinds of sherry. In cask A, the ratio of the two kinds of sherry is 2:7 while in B, it is 1:5.
The number of revolution per minute of a ball governor required to keep the balls h inches below the point of suspension varies inversely as the square root of h.

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