5 Solved Problems from CE Board Exam

You may take exams before watching this video: https://mathalino.com/node/18164

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

Two triangles have equal bases. The altitude of one triangle is 3 units more than its base while the altitude of the other is 3 units less than its base. If the areas of the triangles differ by 21 square units, find the altitude of the smaller triangle.

Find the maximum and minimum values of 3^(sin x) for 0 deg less than or equal to x lessthan or equal to 360 deg

At what value of x will the function f(x) = (x – 4) / (x + 2) is discontinuous?

Situation. Given the digits 0, 1, 2, 3, 4, and 5. How many 3-digit numbers can be made from the given digits if…
(i) repetition of digit is not allowed.
(ii) the numbers are even and repetition of digit is not allowed.
(iii) the numbers are odd and repetition of digit is not allowed.